the ratio of roses to lilies in a flower arrangement is 3 to 5. how many roses would there be if there were 24 total flowers in the arrangement?

Answers

Answer 1

Answer:

There would be 9 roses.

Step-by-step explanation:

The ratio began as 3 to 5 so in all there were 8 flowers.

If there are 24 , being that 8 x 3 = 24, then all you have to is multiply both sides of the ratio by 3.

3 x 3 = 9

5 x 3 = 15

9 + 15 = 24

New ratio is 9 to 15


Related Questions

Which choice shows a correct way to find 6 × 3 × 5?



A. 6 × (3 × 5)


B. 6 + 5 × 3


C. 6 × (3 + 5)


D. 6 × (5 – 3)


Answers

Answer:

C

Step-by-step explanation:

6x(3x5)

hope this helped!

Jolie uses the childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit. This month, she does not
wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services,
which of the following inequalities symbolizes this situation?
A.
$32x+ $9 > $122
B. $32x + $9 < $122
C. $9x + $32> $122
D. $9x + $32 < $122

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D. $9x + $32 < $122

Step-by-step explanation:

given :

x is the number of visits

$9 is the cost per visit

$32 is the monthly dues

the amount she pays each month

= monthly dues + (cost per visit x number of visits)

= 32+ 9x  (rearrange)

= 9x + 32

given that she does not wish to spend more than $122, that means she wants to spend LESS than $122, i.e

amount spent < $122

or

9x + 32 < 122   (answer D)

Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each month she got more orders. Following this function f(n)=2n-1
How many total orders did she receive over the first year?

Answers

Laura received 144 orders over the first year

Solution:

Given function is:

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

Thus total orders received over first year:

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

Solve the problem.

The formula P = 0.62x2 - 0.043x + 3 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 42,336 fish?

Answers

Answer:

The population reaches 42,336 fish in 2258

Step-by-step explanation:

Given:

[tex]P = 0.62x^2 - 0.043x + 3[/tex]

To Find:

Time taken  to reach 42,336 = ?

Solution:

According to the question  x is the number of years after which the population .

Then

[tex]42336 = 0.62x^2 - 0.043x + 3[/tex]

[tex]0 = 0.62x^2 - 0.043x + 3- 42333[/tex]

[tex]0.62x^2 - 0.043x -42333[/tex] = 0

Solving using quadratic formula

[tex]x =\frac{ -b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

[tex]x =\frac{ -(-0.043)\pm \sqrt{(-0.043) -4(0.62)(42333)}}{2(42333)}[/tex]

[tex]x =\frac{ -(-0.043)\pm \sqrt{(0.001849) -0.10664}}{84666}[/tex]

x=261.337                    x=−261.268

Neglecting the   negative value we get

x = 261.337

x =  261 approx

261 years after  1997  =  2258

Final answer:

To find the year when the population reaches 42,336 fish, solve the quadratic equation P = 42.336 by factoring, completing the square, or the quadratic formula.

Explanation:

To find the year when the population reaches 42,336 fish, we need to solve the equation P = 42.336.

First, rewrite the equation as a quadratic equation: 0.62x^2 - 0.043x + 3 = 42.336.

Then, solve the quadratic equation using factoring, completing the square, or the quadratic formula. The solution will give you the value of x, which represents the number of years since 1997. Add this value to 1997 to find the year when the population will reach 42,336 fish.

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What is 66×94÷996-9 Please answer quicly

Answers

Answer:

I am pretty sure it's −2.7710843373

Answer:

-2.771

Step-by-step explanation:

66*94 = 6,204 / 996=6.228-9 = -2.771

Reflect order pair (-2, 5) over y=-x

Answers

When reflecting over y = -x

The x and y values change places and the signs change.

(-2,5) becomes (-5,2)

Answer:

(-5,2)

Step-by-step explanation:

hope this helps

Ms. Willis drives to a conference in 5 hours.Due to bad weather on the return in trip home, she drives the same route in 8 hours at an average speed that is 24 miles per hour slower than her trip to the conference

Answers

Answer:

Distance = 192 km

Step-by-step explanation:

To calculate the distance, the distance is given by the formula:

s = vt

where s = distance

          v = average speed

          t = time taken to travel

therefore, the distance is given as

s = 24miles/hour× 8 hours

  = 192 miles.

The total distance is 192 miles.

To calculate the average speed on the first trip to the conference, divide the distance by the time like this:

s = vt

v = s/t

  = 192 miles/ 5 hours

  = 38.4 miles per hour

As you can see, the driver drove faster than she did when she was driving in bad weather.

Three pizzas and four sandwiches cost $34 three pizzas and seven sandwiches cost $41.50 write a system of equation to find the cost of one pizza

Answers

Answer:

The cost of one pizza is $8

Step-by-step explanation:

From the question;

3 pizzas + 4 sandwiches = $343 pizzas + 7 sandwiches = $41.50

We are required to determine the cost of  one Pizza

Assuming the cost of one pizza is x and the cost of one sandwich is y

Then we get the equations;

3x + 4y = $34

3x + 7y = $41.50

We can solve the equations simultaneously;

Subtracting the two equations;

3x + 4y = $34

3x + 7y = $41.50

...........................................

       -3y = -$7.5

           y = $2.5

To get x;  

      3x = $34 - 4($2.5)

       3x = $24

        x = $8

Therefore, the cost of one pizza is $8

-4/4+160%+1/5 as an exact decimal

Answers

Answer:

0.8

Step-by-step explanation:

-4/4=-1

160%=1.6

1/5=0.2

--------------

-1+1.6+0.2

0.6+0.2

0.8

Arrange the equations in increasing order of the value of their solutions.

Answers

See the explanation

Explanation:

The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

[tex]f(x)=g(x)[/tex]

For each graph, [tex]f(x)[/tex] will be drawn in red while [tex]g(x)[/tex] will be drawn in blue.

Case 1:

[tex]f(x)=\frac{1}{4}x+\frac{5}{2}x-2 \\ \\ g(x)=4-\frac{1}{4}x[/tex]

So by equating both equations:

[tex]\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x[/tex]

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:

Solution:

[tex]\boxed{x=2}[/tex]

See First Figure below.

Case 2:

[tex]f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-5.8}[/tex]

See Second Figure below.

Case 3:

[tex]f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-1}[/tex]

See Third Figure below.

Case 4:

[tex]f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7[/tex]

Applying a similar method as in case 1.

Solution:

[tex]\boxed{x=-6}[/tex]

See Fourth Figure below.

Learn more:

Methods for solving system of equations: https://brainly.com/question/10185505

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Answer:

Answer: 1. 10.1x - 1.6x + 44 = -7

             2. 7.9x + x + 4 = 1.1x - 16

           3.  3.2x + 5.7 = -2.5x

           4. 1/4x + 5/2x - 2 = 4 -1/4x

in order

Step-by-step explanation:

mark as brainliest plz!!!        hope this helps!

1. Which of the following shows the correct use of the Distributive Property when solving 1/3( 33
- y) = 135. 2
• (33 - y) = 1/3 * 135.2 (your response)
. (1/3*33) - 1/3y = 1/3* 135.2
. (1/3 * 33) - 1/3y = 135.2
. (1/3 * 33) + 1/3y = 135.2
Please I need this asp

Answers

Answer:

The option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct

Step-by-step explanation:

Given equation is [tex]\frac{1}{3}(33-y)=135.2[/tex]

The option shows correct usage of distributive property is

[tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex]

( by distributive property [tex]a(x+y)=ax+ay [/tex] here [tex]a=\frac{1}{3}[/tex], x=33 and y=-y )

Therefore the option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct.

The correct use of the Distributive Property for the equation 1/3(33 - y) = 135.2 is to apply multiplication to each term inside the parentheses by 1/3, resulting in (1/3 * 33) - (1/3)y = 135.2.

The question is asking for the correct use of the Distributive Property when solving the equation 1/3(33 - y) = 135.2.

The correct application of the Distributive Property to solve the equation would involve multiplying both terms inside the parentheses by 1/3. Here's how the property is correctly applied:

(1/3 * 33) - (1/3 * y) = 135.2

(33/3) - (1/3)y = 135.2

11 - (1/3)y = 135.2

Hence, the correct option that uses the Distributive Property properly is:

(1/3 * 33) - (1/3)y = 135.2

Find the value of 21 + 4(32 - 5).
a. 37
b. 25
c. 100

Answers

Answer:

The right answer is A. 37

Step-by-step explanation:

Let's find the value of:

21 + 4(3² - 5)

21 + 4 * (9 - 5)

21 + 4 * (4)

21 + 16 = 37

The right answer is A. 37

Maggie has a circular table cloth with a 72-inch diameter that she plans to sew lace around. if the lace comes in 3-foot rolls, how many rolls will she need?

Answers

She will need 7 rolls of lace

Step-by-step explanation:

The given is:

Maggie has a circular table cloth with a 72-inch diameterShe plans to sew lace aroundThe lace comes in 3-foot rolls

We need to find how many rolls she will need

∵ The diameter of the table is 72 inches

- Change the inches to feet because the length of the lace in

   the rolls by feet

∵ 1 foot = 12 inches

∴ 72 inches = 72 ÷ 12 = 6 feet

∵ She plans to sew lace around the table

∴ The length of the lace is equal to the circumference of the table

∵ The circumference of a circle = π d, where d is its diameter

∴ The length of the lace = π(6)

∴ The length of the lace = 18.84955592 feet

∵ The lace comes in 3-foot rolls

- Divide the length of lace by 3 to find the numbers of the rolls

∴ The number of rolls = 18.84955592 ÷ 3

∴ The number of rolls = 6.283185

∴ She must buy 7 rolls

She will need 7 rolls of lace

Learn more:

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Maya downloaded some math and science apps from Google Play. The number of math apps is 25% of the number of science apps. What percent are the math apps to the total number of apps?

Answers

20 % are the math apps in total number of apps

Solution:

Maya downloaded some math and science apps from Google Play

The number of math apps is 25% of the number of science apps

Let "x" be the number of science apps

Then, we get,

Number of math apps = 25 % of number of science apps

Number of math apps = 25 % of x

[tex]\text{Number of math apps } = \frac{25}{100} \times x[/tex]

Number of math apps = 0.25x

What percent are the math apps to the total number of apps?

Total number of apps = x + 0.25x = 1.25x

Math apps = 0.25x

We have to find the percent of math apps in total number of apps

[tex]\text{ percent of math apps} = \frac{\text{Math app}}{\text{total number of apps}} \times 100[/tex]

[tex]\text{ percent of math apps} = \frac{0.25x}{1.25x} \times 100\\\\\text{ percent of math apps} = 0.2 \times 100\\\\\text{ percent of math apps} = 20[/tex]

Thus 20 % are the math apps in total number of apps

75% right?

I think so..

P divided by 28 = -26

Answers

The answer is p= -728

Answer:54 when ever you have a positive and plus you always add

Step-by-step explanation:

What is the circumference of a tire with a radius of 22 centimeters

Answers

Answer:

Step-by-step explanation:

circumference= 2πr

                        = 2*[tex]\frac{22}{7}[/tex]*22

                        = 44*[tex]\frac{22}{7}[/tex]

                       = 968/7

                        = 138.28 cm

Answer:

Circumference of the Tire is  [tex]138.16cm[/tex]

Step-by-step explanation:

Circumference of any figure is the total length of its boundaries.

Considering the tire as a circle.

Given:

         radius of the tire= [tex]22cm[/tex]

    circumference of a circle = [tex]2\pi r[/tex]

                                         [tex]=2*\pi *22\\\\=44*\pi\\\\ =44(3.14)\\\\=138.16cm[/tex]

So, the circumference of the Tire is  [tex]138.16cm[/tex]

I need help with this question

Answers

Answer:

You should disagree with the student's claim.

The number of revolutions during a five-mile ride is 323.4

A 6 inch personal pizza has 600 calories with 240 from fat. A 14 inch pizza is cut into slices. Estimate the number of calories in one slice

Answers

Answer:

175 calories.

Step-by-step explanation:

There are 600 calories with 240 from fat in a 6 inch personal pizza.

If we consider the number of calories in each inch of pizza to be constant.

Then, a 14 inch pizza will have [tex]\frac{600}{6} \times 14 = 1400[/tex] calories.

Now, a standard 14 inch pizza has 8 slices and if the 14 inch pizza is cut into 8 slices then in each slice there will be [tex]\frac{1400}{8} = 175[/tex] calories. (Answer)

Final answer:

The estimated number of calories in one slice of a 14-inch pizza, assuming it is cut into 8 slices, is 408 calories.

Explanation:

In this problem, we need to work with the concept of Ratios and Proportions in order to estimate the amount of calories in one slice of a 14-inch pizza. Firstly, we may want to calculate how many 6-inch pizzas fit into a 14-inch pizza. To do this we can use the formula for the area of a circle (πr²) where the r represents the radius.

For the 6-inch pizza, the radius is 3 inches, and for the 14-inch pizza, the radius is 7 inches. Therefore, according to the formula, we have:

Area of 6-inch pizza: π * 3² = 9π

Area of 14-inch pizza: π * 7² = 49π

By dividing the area of the 14-inch pizza by the area of the 6-inch pizza, we find that around 5.44 of 6-inch pizzas fit into the 14-inch pizza:

49π/9π = 5.44

So, the 14-inch pizza has roughly 5.44 times more calories than the 6-inch pizza, meaning it would have 600 calories * 5.44 = 3264 calories.

If you split the pizza into 8 slices, each slice of pizza would therefore have 3264 calories / 8 slices = 408 calories.

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A shop sells one pound bags of peanuts for $2 and three pound bags of peanuts for $5. If 9 bags are purchased for a total of $36, how many three pound bags were purchased?

Answers

Answer:7

Step-by-step explanation:

5x7=35

Answer:

Six

Step-by-step explanation:

What do we know?

1 lb pack = $2

3 lbs pack = $5

9 packs are purchased for $36

Solve

The biggest amount of 3-pound bags can be 7. That cannot be because that would be $35, and there are no 1-pound bags.

Go down to 6. 6 bags of 3 pounds would cost $30. You can also get 3 2-pound bags to get to 36. Cost is reached. 6+3 = 9. Number of bags reached.

six 3-pound bags

Which expressions are equivalent to 2^5•2^4? Check all that apply.

Answers

Option A: [tex]2^9[/tex]

Option E: [tex]2^{-2}.2^{11}[/tex]

Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]

Solution:

Given expression is [tex]2^5.2^4[/tex].

To find which expression is equivalent to the given expression.

Option A: [tex]2^9[/tex]

Using exponent rule: [tex]a^b.a^c=a^{(b+c)}[/tex]

[tex]2^5.2^4=2^{(5+4)}=2^9[/tex]

Therefore [tex]2^9[/tex] is equivalent to the given expression.

Option B: [tex]2^{20}[/tex]

It is not equivalent to the given expression.

Option C: [tex]2.2^9[/tex]

[tex]2.2^9=2^{(1+9)}=2^{10}[/tex]

Therefore, It is not equivalent to the given expression.

Option D: [tex]2^{10}.2^2[/tex]

[tex]2^{10}.2^2=2^{(10+2)}=2^{12}[/tex]

Therefore, It is not equivalent to the given expression.

Option E: [tex]2^{-2}.2^{11}[/tex]

[tex]2^{-2}.2^{11}=2^{(2-11)}=2^9[/tex]

Therefore, It is equivalent to the given expression.

Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]

[tex](2.2.2.2.2)(2.2.2.2)=2^5.2^4[/tex]

Therefore, It is equivalent to the given expression.

Hence option A, Option E and Option E are equivalent to the given expression.

Answer:

AEF

Step-by-step explanation:

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.

Answers

Answer:

c ≥ 56   is the REQUIRED INEQUALITY.

Step-by-step explanation:

Here, the given  question is INCOMPLETE.

Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.

Now, here:

The number of cans Xander needed to collect = At least 120

The number of items already collected =  64

c: the number of cans, c, that Xander must still collect.

Now, the number of cans to be collected  - Cans already collected  

=  120 - 64  = 56

So, the number of can he must collect to make a TOTAL OF AT LEAST 120 cans  =  56 cans

⇒ The number of cans to be collected ≥ 56 cans

⇒c ≥ 56 cans

or, c ≥ 56   is the REQUIRED INEQUALITY.

Answer:

c ≥ 56 is the REQUIRED INEQUALITY.

Step-by-step explanation:

ak = v+w solve for a

Answers

Answer:

a = [tex]\frac{v+w}{k}[/tex]

Step-by-step explanation:

Given

ak = v + w ( isolate a by dividing both sides by k )

a = [tex]\frac{v+w}{k}[/tex]

How do you change 2/5 to a precent

Answers

Answer:

40%

Step-by-step explanation:

Percent is how much out of 100.

We have 2/5, so find equivalent fractions:

2/5 = 4/10 = 40/100

2/5 = 40%

Please answer this.

Answers

Answer:

h = 2A/b

l = (P/2) - w

Step-by-step explanation:

for equation A

Multiply both sides with 2

Then divide both sides with b which leaves h on one side

for equation P

Divide by 2 on both sides

Then subtract w from both sides which leaves l on one side

If 15 + 3x = 3 (2−2x), then x = −−−−−

Answers

Answer:

x= -1

Step-by-step explanation:

ditribute 3 to the (2-2x), 15+3x=6-6x

add 6x to both sides 15+9x=6

subtract 15 from both sides 9x=-9

divide 9 on both sides x= -1

Write 4/100000 as a decimal

Answers

Answer:0.000004

or 4.0E-5

Step-by-step explanation:

Raj and Dev leave the school at 3:30 PM and cycle in opposite direction. If their speeds are 5km/hr and 7km/hr respectively, at what time they will be 18 km apart?

Answers

They will be 18 km apart at 5 pm.

Step-by-step explanation:

Speed of Raj is 5km/hr and speed of Dev is 7km/hr

Since they are going in opposite direction,

So, every 1 hours there difference will be (7 + 5) km = 12 km

Now, they will be apart 18 km distance 18/12 hours = 1 hour 30 min

The time will be 3:30 PM + 1 hour 30 min = 5 :00 PM

Kittens weigh about 100 grams when born and gain 7 to 15 grams per day. If a kitten weighed 100 grams at birth and gained 8 grams per day, in how many days will the kitten triple its weight?

Answers

It would take the kitten 25 days after its birth to triple its weight.

Solution:

kitten weighed 100 grams at birth

And gained 8 grams per day

kitten needed to triple its weigh

Which means, they have to become 3 x 100 = 300 grams

Let "x" be the number of days needed to be 300 grams

Then we can say,

300 grams = 100 grams at birth + 8 grams( number of days)

[tex]300 = 100 + 8x\\\\8x = 300-100\\\\8x = 200\\\\Divide\ both\ sides\ by\ 8\\\\x = 25[/tex]

Thus it would take the kitten 25 days after its birth to triple its weight.

janice is asked to solve0=64x^2+16x-3 what is x

Answers

Answer:

x=-1/8 or 3/8

Step-by-step explanation:

64x^2+16x-3=0

By Mid term breaking

64x^2-24x+8x-3=0

8x(8x-3)+1(8x-3)=0

(8x+1)(8x-3)=0

Either

8x+1=0 OR 8x-3=0

8x=-1 OR 8x=3

x=-1/8 OR x=3/8

A school football team is selling raffle tickets As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit how much money do they need to raise to cover the cost of the printing and meet their goals

Answers

Answer:

They need $2655 to raise to cover the costs of the printing and meet their goal.

Step-by-step explanation:

Consider the provided information.

As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit

Let x (in dollar) represents the fund raised.

The money spent on printing ticket is $155.

The profit they would like to make at least is $2500.

Therefore, the required inequality is:

[tex]x-155\geq 2500[/tex]

Simplify the inequality.

[tex]x\geq 2500+155\\x\geq 2655[/tex]

Therefore, they need $2655 to raise to cover the costs of the printing and meet their goal.

Other Questions
easy question plz help A machinist produced 22 items during a shift. Three of the 22 items were defective and the rest were not defective. In how many different orders can the 22 items be arranged if all the defective items are considered identical and all the nondefective items are identical of a different class? 8x + 2x - 5 = -35 Can someone help me with this answer and how to show my work? 2H2 + O2 --> 2H2OHow many grams of oxygen gas are required to produce 90. g of water? The parents of three children, ages 1, 3, and 6, wish to set up a trust fund that will pay X to each child upon attainment of age 18, and Y to each child upon attainment of age 21. They will establish the trust fund with a single investment of Z. Find the equation of value for Z. ? Water containing large amounts of Mg2+and Ca2+ions is said to be hard because it is hard to make soap lather in the water. True False If the half-life of an element is about 5,000 years, then a fossil that has one-eighth the normal proportion of the parent isotope to the daughter isotope should be about how many years old? A colony of 21,300 bacteria doubles in size every 260 hours. What will the population be 520hours from now? rite 3-5 sentences. In your opinion, which animal is more weird: a platypus or a narwhal. Explain why.(If you don't know anything about these animals.. use the internet to do a little research.) What is the trivial solution for a set of homogeneous equations? When is the solution not trivial. Give examples. Which expression can be used to determine the slope of the line that passes through the points (7, 3) and (1, 9)?StartFraction 1 minus (negative 7) Over negative 9 minus 3 EndFractionStartFraction 1 + (negative 7) Over negative 9 + 3 EndFractionStartFraction negative 9 minus 3 Over 1 minus (negative 7) EndFractionStartFraction negative 9 + 3 Over 1 + (negative 7) EndFraction Find the surface area of the rectangle prism. 3cm 9cm and 6cm Sallys game piece was on 58. She used these cards. To capture a chip:+2 +30 +2Where did she land ? Write equation to show her moves . To start a mobile dog-grooming service, a woman borrowed $3500. If the loan was for 2 years and the amount of interest was $224, what simple interest rate was she charged? The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given ascol1 x 0 1 2 3 4 col2 f(x) 0.41 0.37 0.16 0.05 0.01 Find the average number of imperfections per 10 meters of this fabric. Read this sentence from the passage.Artesian wells are possible only under specific geologic conditions.In the passage, this statement is A. a factual claim that is supported by scientific factsB. an opinion supported by the authors personal experienceC. a commonplace assertion that may or may not be trueD. a fact that cannot be proven Assuming no crossing over between the gene in question and the centromere, during what phase of meiosis do alleles segregate? A particle has a velocity of v(t)=5.0ti^+t2j^2.0t3k^m/s. (a) What is the acceleration function? (b) What is the acceleration vector at t = 2.0 s? Find its magnitude and direction. Rachel is using an apostrophe to make a plural word. Is this a correct use of apostrophes? Select the best answer.AnswerYesNo the cause of the phases of the moon is a cycle that is close to blank long