Answer:
-3 (the first option)
Step-by-step explanation:
Edge 2020
What is the circumference of a tire with a radius of 22 centimeters
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]
Reflect order pair (-2, 5) over y=-x
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
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?
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
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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ak = v+w solve for a
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]
What is 66×94÷996-9 Please answer quicly
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
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?
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
Which expressions are equivalent to 2^5•2^4? Check all that apply.
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:
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
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.
The carnival fundraiser at Central High School raised $400 on Thursday. On Friday, 280% of that amount was raised. How much money did the carnival raise on Friday? Which statements are correct? Check all that apply. The answer will be less than $400 because 100 is less than 280. The answer will be greater than $400 because 280 is greater than 100. (100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday. 400 + 280 = the amount of money the carnival raised on Friday. The carnival raised $680 on Friday. The carnival raised $1,120 on Friday.
Multiply the amount raised by 280%
Rewrite 280% as a decimal by moving the decimal point 2 places to the left
280%. = 2.80
400 x 2.80 = $1120.00
Answers are:
The answer will be greater than $400 because 280 is greater than 100.
(100)(4) = 400, so (280)(4) = the amount of money the carnival raised on Friday.
The carnival raised $1,120 on Friday.
Answer:
B,C,F
Step-by-step explanation:
YOU WELCOMEEEEEEEEEEEEEEE :)
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?
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..
A student is saving money to buy a video game. The student currently has $20 and plans to save $10 every month. Write a function that represents the amount y
(in dollars) of money that the student saves after x
months.
If 15 + 3x = 3 (2−2x), then x = −−−−−
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
-4/4+160%+1/5 as an exact decimal
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.
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.
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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!
Please answer this.
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
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
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.
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?
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
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
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)
janice is asked to solve0=64x^2+16x-3 what is x
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
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)
Answer:
C
Step-by-step explanation:
How do you change 2/5 to a precent
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%
Write the equations described below.
a. an addition equation with one variable that has a
solution of 3 = ______
b. a subtraction equation with one variable that has a
solution of = ______ ||Please help!! ;v;”
Answer:
I know only number a
Step-by-step explanation:
For number a
x+2=3
solve each equation
-5(x-3=14
Answer:
x = 1/5
Step-by-step explanation:
To solve, simplify the equation, then isolate "x". Start with the distributive property, where you multiply the number outside the brackets with each number inside the bracket. Isolate "x" by bringing all the other numbers to the right side on the equal sign. When moving a number, do its reverse operation to the whole equation.
-5(x-3) = 14 Distribute. Multiply -5 by "x", subtract -5 times 3.
(-5)x - (-5)3 = 14 Multiply -5 and 3
(-5)x - (-15) = 14 Two negatives make a positive
(-5)x + 15 = 14 Remove brackets around -5
-5x + 15 = 14 Start isolating
-5x + 15 - 15 = 14 - 15 Subtract 15 from both sides
-5x = -1 Left side: 15 cancelled out. Right side: 14-15 = -1
-5x/-5 = -1/-5 Divide both sides by -5.
x = 1/5 Solved for "x"
Check your answer by substituting "x" with the answer you found:
-5(x - 3) = 14
-5(([tex]\frac{1}{5}[/tex]) - 3) = 14 Change "x" to 1/5.
-5(([tex]\frac{1}{5}[/tex]) - [tex](\frac{5}{5})(\frac{3}{1})[/tex]) = 14 Make 5 the common denominator
-5([tex]\frac{1}{5}[/tex] - [tex]\frac{15}{5}[/tex]) = 14 Multiply the fractions across
-5([tex]\frac{1-15}{5}[/tex]) = 14 Combined the fractions on top of the same denominator
-5([tex]-\frac{14}{5}[/tex]) = 14 Simplify numerator
[tex]\frac{-5*-14}{5}[/tex] = 14 Multiply by combining into the numerator
[tex]\frac{70}{5}[/tex] = 14 Divide the top by the bottom of the fraction
14 = 14 Same answer on both sides
LS = RS Left side equals right side
Therefore the answer is correct.
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
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)
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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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?
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.
I need help with this question
Answer:
You should disagree with the student's claim.
The number of revolutions during a five-mile ride is 323.4
Find the value of 21 + 4(32 - 5).
a. 37
b. 25
c. 100
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
Write 4/100000 as a decimal
Answer:0.000004
or 4.0E-5
Step-by-step explanation:
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
Answer:
The cost of one pizza is $8
Step-by-step explanation:
From the question;
3 pizzas + 4 sandwiches = $343 pizzas + 7 sandwiches = $41.50We are required to determine the cost of one Pizza
Assuming the cost of one pizza is x and the cost of one sandwich is yThen 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
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
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: