Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estimate of the cost for a family with 2 adults and 3 children to visit the garden show. A. $21 B. $23 C. $24 D. $26

Answer:(2,0)

Step-by-step explanation:

Answer:

V = 6³ = 216 cm³

The volume of this cube is 216 cm³.

The correct answer is [tex]\( \boxed{216 \text{ cm}^3} \).[/tex]

The volume of a cube is calculated by raising the length of one side to the power of three, or in other words, by multiplying the length of one side by itself three times. Given that the length of each side of the cube is 6 centimeters, the volume [tex]\( V \)[/tex] can be calculated as follows:

[tex]\[ V = a^3 \][/tex]

where [tex]\( a \)[/tex] is the length of a side of the cube. Substituting the given value:

[tex]\[ V = 6^3 \][/tex]

[tex]\[ V = 6 \times 6 \times 6 \][/tex]

[tex]\[ V = 216 \][/tex]

Therefore, the volume of the cube is [tex]\( 216 \)[/tex] cubic centimeters.

[tex]\( \boxed{216 \text{ cm}^3} \).[/tex]

Linear equation is 2x + 3y = 60

Chicken that can be afforded is 48 pounds.

Step-by-step explanation:

Step 1:

Given details are cost of hamburgers per pound = $2 and cost of chicken per pound = $3, total amount for spending = $60

Step 2:

Form equation from given data.

Let x be number of hamburgers bought and y be number of chicken that can be bought.

⇒ 2x + 3y = 60

Step 3:

Given that 12 pounds of hamburgers can be bought. Then 2x = 12. Substitute in equation to find pounds of chicken

⇒ 12 + 3y = 60

⇒ 3y = 60 - 12 = 48

⇒ 3y = 48 pounds or y = 16 (number of chicken that can be bought)

The inequality p > 64 represents the total number of pieces he has ⇒ D

Step-by-step explanation:

Let us revise the inequality words

∵ Ashton makes more than 32 sandwiches for a party

∴ The number of sandwiches > 32

∵ Ashton cuts each sandwich into two pieces

- That the number of pieces is the number of sandwiches times 2

∴ The number of pieces > 2 × 32

∴ The number of pieces >  64

- The number of pieces is p

∴ p > 64

The inequality p > 64 represents the total number of pieces he has

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Answer:

The number is 30.

Step-by-step explanation:

x/5+3=9

x/5=9-3

x/5=6

x=6*5

x=30

The number is 30.

The given question is a mathematical equation.

Let's define the number as 'x'. According to the given equation, the quotient of the number and 5, which is x/5, when three is added to it, should be equal to 9. Mathematically, we can write this as:

x/5 + 3 = 9

To solve for x, we need to isolate x on one side of the equation. We can do this by subtracting 3 from both sides of the equation:

x/5 = 9 - 3

x/5 = 6

To get rid of the fraction, we can multiply both sides of the equation by 5:

x = 6 * 5

x = 30

Therefore, the number is 30.

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Answer:

The difference is 40,

Step-by-step explanation:

Complementary angles , x+y =90

so we know angle 1, we call it  3x and angle 2 we call it y= 3x+10

so 3x +10= 90-x

4x=100

x=25

angle 1= 3(25) - 10

y= 65

65-25= 40

Answer:

  40°

Step-by-step explanation:

Let x represent one of the angles, and y represent the other one. Then we have ...

  x + y = 90

  3x = y +10

Substituting for y in the first equation, we have ...

  x + (3x -10) = 90

  4x = 100

  x = 25

  y = 3(25) -10 = 65

The difference between the angles is ...

  y -x = 65 -25 = 40 . . . . degrees

The difference between the angle measures is 40 degrees.

The average rate of change in gas prices from 3 to 6 predicted storms is 0.04, indicating a consistent increase of $0.04 in gas price for each additional storm predicted during that period. (option A)

The average rate of change is calculated by finding the difference in gas prices divided by the difference in the number of predicted storms.

[tex]\[ \text{Average Rate of Change} = \frac{\text{Change in Gas Price}}{\text{Change in Number of Storms}} \][/tex]

For the given data:

- Change in Gas Price from 3 to 6 storms: 2.56 - 2.44 = 0.12

- Change in Number of Storms: 6 - 3 = 3

[tex]\[ \text{Average Rate of Change} = \frac{0.12}{3} = 0.04 \][/tex]

Therefore, the correct answer is 0.04. (option A)

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The complete question is:

The price of gas has been increasing over the last month. Renee believes there is a positive correlation between the number of predicted storms and the price of gas.

Number of Storms Predicted 1 3 4 6 7

Gas Price $2.34 $2.44 $2.49 $2.56 $2.61

Use the table to determine the average rate of change from 3 to 6 storms.

a. 0.04

b. 3

c. 0.12

d. 0.27

Answer:

Step-by-step explanation:

3.705 rounded to the nearest tenth of an oz = 3.7 <==

The weight of the sweet potato chips, when rounded to the nearest tenth, is 3.7 ounces.

To round the weight of the sweet potato chips to the nearest tenth of an ounce, we look at the number in the hundredths place.

Since the weight is 3.705, and the number in the hundredths place is 0.005, we apply a basic rounding rule: if the number in the hundredths place is 5 or more, we round up the number in the tenths place.

Here, that means we round up '7' to '8'. Thus, when rounded to the nearest tenth of an ounce, the weight of the sweet potato chips is 3.7 ounces.

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Answer:

[tex]Plant\ B\ produces\ 4000\ panels.[/tex]

Step-by-step explanation:

Let plant B produces [tex]x[/tex] panels.

Defective Panels from Plant A and Plant B

Defective panels from plant A[tex]=1\%\ of\ 8000[/tex]

Defective panels from plant A[tex]=0.01\times 8000[/tex]

Defective panels from plant A[tex]=80[/tex]

Defective panels from plant B[tex]=4\%\ of\ x[/tex]

Defective panels from plant B[tex]=0.04x[/tex]

Total Defective panels=Defective panels from plant A+Defective panels from plant B

Total Defective panels[tex]=80+0.04x[/tex]

Total Panels and defective panels:

Total Panels=Panels from plant A+Panels from plant B

Total Panels=8000+x

Total Defective panels[tex]=2\%\ of\ total\ panels=2\%\ of\ (8000+x)[/tex]

Total Defective Panels[tex]0.02\times (8000+x)=160+0.02x[/tex]

[tex]80+0.04x=160+0.02x\\\\0.04x-0.02x=160-80\\\\0.02x=80\\\\x=\frac{80}{0.02}\\\\x=4000[/tex]

Answer:

The 29th cave has 28 bats.

Step-by-step explanation:

It is given that any 7 caves in a row contain 77 bats.

So, out of the 30 caves, let us start counting from the second cave till the 29th cave(counting 28 caves).

7 times 4 gives us 28, which has [tex]77\times4=308[/tex] bats. We have not counted the first and last cave.

Let the number of bats in the last cave be [tex]x[/tex], then according to the question:

[tex]7x+x=340-308=32[/tex](First cave has 7 times more bats than the last cave)

Hence, [tex]x=4[/tex](number of bats in the 30th cave)

Now we shall again count, but this time from the first cave, leaving out the last 2 caves. So the total number of bats in the first 28 caves is 308 and 32 in the last 2 caves.

So, the number of bats in the 29th cave = 32 - 4 = 28

Answer:

V=-27

Step-by-step explanation:

8v+1=7v-26

-7v -7v

v+1=-26

-1 -1

v=-27

Answer:

The answer is 3/5

Step-by-step explanation:

Let's convert to decimals these fractions and mixed numbers to make the comparison and find out the smallest fraction, this way:

2/3 = 0.67

3/4 = 0.75

1 1/2 = 1 + 1/2 = 1.5

3/5 = 0.6

2 2/3 = 2 + 2/3 = 2.67

7/8 = 0.875

Now we observe that the lowest value is 0.6, therefore, the smallest fraction is:

3/5

To find the smallest fraction, compare and convert the fractions to have a common denominator. The smallest fraction from the given list is 7/12.

To find the smallest fraction from the given list, we need to compare the fractions. One way to compare fractions is to make their denominators equal. Let's convert all the fractions to have a denominator of 12:

From the conversions, we can see that the smallest fraction is 7/12.

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Answer:

PQ = 13 cm

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.

On the base of the cuboid, mark the point opposite P, point A. Point A is vertically below point Q. Now draw a segment from point P to point A.

The distance from point P to point A can be found using the Pythagorean Theorem.

(3 cm)^2 + (4 cm)^2 = (PA)^2

9 cm^2 + 16 cm^2 = (PA)^2

25 cm^2 = (PA)^2

PA = 5 cm

Segment PA is a side of triangle PAQ. Angle PAQ is a right angle. Sides PA and AQ are legs of the right triangle, and side PQ is the hypotenuse. Now we use the Pythagorean Theorem again.

(PA)^2 + (AQ)^2 = (PQ)^2

(5 cm)^2 + (12 cm)^2 = (PQ)^2

25 cm^2 + 144 cm^2 = (PQ)^2

169 cm^2 = (PQ)^2

PQ = 13 cm

Answer:

[tex]\$ 36000\ down\ payment\ is=30\%\\\\\$ 42000\ down\ payment\ is=35\%[/tex]

Step-by-step explanation:

[tex]Purchase\ price=\$ 120000\\\\[/tex]

[tex]when\ down\ payment=\$ 36000\\\\percentage\ down\ payment=\frac{down\ payment}{total\ amount}\times 100\\\\percentage\ down\ payment=\frac{36000}{120000}\times 100\\\\percentage\ down\ payment=0.3\times 100=30\%[/tex]

[tex]when\ down\ payment=\$ 42000\\\\percentage\ down\ payment=\frac{down\ payment}{total\ amount}\times 100\\\\percentage\ down\ payment=\frac{42000}{120000}\times 100\\\\percentage\ down\ payment=0.35\times 100=35\%[/tex]

Final answer:

A $36,000 down payment is 30% of the $120,000 purchase price. A $42,000 down payment would be 35% of the purchase price.

Explanation:

To calculate what percent the down payment is of the purchase price, we use the formula:

(Down Payment / Purchase Price) x 100 = Percentage of Purchase Price

For the initial $36,000 down payment:

Divide $36,000 by the purchase price of $120,000 to get 0.3.

Multiply 0.3 by 100 to get 30%.

Therefore, a $36,000 down payment is 30% of the $120,000 purchase price.

For a $42,000 down payment:

Divide $42,000 by the purchase price of $120,000 to get 0.35.

Multiply 0.35 by 100 to get 35%.

A $42,000 down payment would be 35% of the purchase price.

Answer:

Viewing window: [0, 1.4] × [-3, 12]

See the attachments from the TI-83 Plus graphing calculator.

1) f(t) = -16t² + 15t + 6.5

2) -16t² + 15t + 6.5 = 0

32t² - 30t - 13 = 0

t = (30 + √((-30)² - 4(32)(-13)))/(2(32))

= (30 + √2564)/64

= (30 + 2√641)/64

= (15 + √641)/32

= about 1.26 seconds

3) f'(t) = -32t + 15

-32t + 15 = 0

t = 15/32 seconds = about .47 seconds

f(15/32) = -16(15/32)² + 15(15/32) + 6.5

= about 10.02 feet

Part 1: The function that models the height of the basketball is [tex]\( h(t) = -16t^2 + 15t + 6.5 \).[/tex]

Part 2: It takes approximately 0.89 seconds for the basketball to hit the ground.

Part 3: The basketball reaches its maximum height at approximately 0.47 seconds.

Part 1: The function that models the height of the basketball is given by:

[tex]\[ h(t) = -16t^2 + v_0 t + h_0 \][/tex]

Given:

- Initial velocity [tex](\( v_0 \))[/tex] = 15 ft/sec

- Initial height [tex](\( h_0 \))[/tex] = 6.5 feet

So, the function becomes:

[tex]\[ h(t) = -16t^2 + 15t + 6.5 \][/tex]

Part 2: To find how long it takes for the basketball to hit the ground, we set [tex]\( h(t) = 0 \)[/tex] and solve for [tex]\( t \)[/tex]:

[tex]\[ -16t^2 + 15t + 6.5 = 0 \][/tex]

We can use the quadratic formula to solve for[tex]\( t \)[/tex]:

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

where [tex]\( a = -16 \), \( b = 15 \), and \( c = 6.5 \).[/tex]

Plugging in the values:

[tex]\[ t = \frac{-15 \pm \sqrt{15^2 - 4(-16)(6.5)}}{2(-16)} \]\[ t = \frac{-15 \pm \sqrt{225 + 416}}{-32} \]\[ t = \frac{-15 \pm \sqrt{641}}{-32} \][/tex]

Using a calculator, we find:

[tex]\[ t \approx 0.89 \text{ seconds (rounded to the nearest hundredth)} \][/tex]

Part 3: To find when the basketball reaches its maximum height, we can use the formula for the x-coordinate of the vertex of a quadratic function:

[tex]\[ t_{\text{max}} = -\frac{b}{2a} \][/tex]

For our function [tex]\( h(t) = -16t^2 + 15t + 6.5 \), \( a = -16 \) and \( b = 15 \).[/tex]

[tex]\[ t_{\text{max}} = -\frac{15}{2(-16)} \]\[ t_{\text{max}} = \frac{15}{32} \]\[ t_{\text{max}} \approx 0.47 \text{ seconds (rounded to the nearest hundredth)} \][/tex]

Part 4: To find the maximum height of the basketball, we substitute the value of [tex]\( t_{\text{max}} \)[/tex] into the function [tex]\( h(t) \):[/tex]

[tex]\[ h_{\text{max}} = -16(0.47)^2 + 15(0.47) + 6.5 \]\[ h_{\text{max}} = -16(0.2209) + 7.05 + 6.5 \]\[ h_{\text{max}} = -3.5344 + 7.05 + 6.5 \]\[ h_{\text{max}} \approx 10.0156 \text{ feet (rounded to the nearest hundredth)} \][/tex]

The maximum height of the basketball is approximately 10.02 feet.

[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &20300\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=\textit{elapsed time}\dotfill &11\\ \end{cases} \\\\\\ A=20300(1-0.095)^{11}\implies A=20300(0.905)^{11}\implies \stackrel{\textit{rounded up}}{A=6770.65}[/tex]

Answer:

$6770.65

this is rounded up

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

The picture of the question in the attached figure

Let

x ----> the hours a soccer team practiced after the season started

y ----> the  total practice time for the year in hours

we know that

The y-intercept of a linear equation is the value of x when the value of y is equal to zero

In the context of this problem, the y-intercept is the  total practice time before the season began (the value of x is equal to zero)

Looking at the graph

The y-intercept is the point (0,6)

therefore

the  total practice time before the season began is 6 hours

Answer:

can yu show the picture?

Step-by-step explanation:

Answer: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

Step-by-step explanation:

Answer:

If the y is squared, the parabola is horizontal. If the x is squared, the parabola is vertical. If it's negative the parabola opens down or to the left. If it's positive the parabola opens up or to the right.

Step-by-step explanation:

edge 2021

Answer:

Right

Step-by-step explanation:

Triangle having ninety degree angle in it is right angle triangle.

Answer:no

Step-by-step explanation:

It'll be may 15th

if She starts on May 5 then there is no practice on May 19.

Two or more expressions with an Equal sign is called as Equation.

Given that Vicky has baseball practice every 10 days

She starts on May 5 .

We have to find whether she has to practice on May 19.

From May 5 the ten days ends at may 15.

So on May 19 the practice is not there.

So no, Vicky does not practice on May 19.

Hence, if She starts on May 5 then there is no practice on May 19.

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Answer:

  the net amount is due in 45 days

Step-by-step explanation:

Invoice terms often have a discount for early payment, and a specification as to the date by which payment in full is expected. n/45 means the net amount of the invoice is due in 45 days.

Answer:

12 meters

Step-by-step explanation:

Let b = base

then

b-5 = altitude

since we know that the area for any triangle is

(1/2)bh

where

b is base

h is height or altitude

(1/2)b(b-5) = 42

b(b-5) = 84

b^2-5b = 84

b^2-5b-84 = 0

(b-12)(b+7) = 0

b = {12, -7}

toss out the negative solution leaving:

b = 12 meters

Here is the set up:

A = (bh)/2

42 = [b • (b - 5)]/2

This is all you need. Solve the equation for b to find your answer.

Answer:

Question 1) 7 root 2

Question 2 ) c

Question 3) ?

Question 4) A

Question ) D

Answer:

1) 7 Root 2

2) C

3) 4

4) A

5) D

Step-by-step explanation:

Answer:

I = 0.015x

Step-by-step explanation:

To calculate the interest obtained from your investment after one year, multiply the interest rate by the investment.

You can use the formula I = Prt; where:

"I" is interest (Capital i).

"P" is principal, starting money or investment.

"r" is the interest rate converted to decimal form.

"t" is the time, usually in years.

Convert 1 1/2% to decimal form. First, change the mixed fraction percentage to a decimal percentage. Convert the percentage to decimal form by dividing by 100. This value will be "r". (Don't confuse decimal form with decimal form as a percentage).

1 1/2% = 1.5%

1.5% ÷ 100 = 0.015

r = 0.015

From the problem, we know the time is 1 year; t = 1.

We don't know the value for the principal, "P", but we are told to use the variable "x"; P = x

Using the bolded information, substitute them for the variables into the formula.

I = Prt

I = (x)(0.015)(1)     Remember any number multiplied by "1" is not changed.

I = (x)(0.015)       Change the standard formatting without brackets.

I = 0.015x         Formula for the interest obtained after 1 year.

Interest obtained after 1 year in dollar is 0.015x

Given that;

Number of year = 1

Number of dollars invested = x

Rate of interest = [tex]1\frac{1}{2}[/tex]%

Find:

Interest obtained after 1 year

Computation:

Rate of interest = [tex]1\frac{1}{2}[/tex]%  = 3/2 % = 1.5% = 0.015

Interest = (P)(R)(T)

Interest obtained after 1 year = (x)(1)(0.015)

Interest obtained after 1 year = 0.015x

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Answer:

5,000,000,000 or 1,953,125,000,000,000

Depends on what you mean

Step-by-step explanation:

If (5*10)^9

(50)^9

1,953,125,000,000,000

Or if 5 * (10)^9

5 * 1,000,000,000 = 5,000,000,000

Answer:1953125 x 10^9

Step-by-step explanation: 5^9= 1953125 and 10^9.

Answer:

(2m)^3(m^4)^5= 8m^23

(-3y^5)^3x2y^2= -54y^17

Step-by-step explanation:

1.  For solving first part

  (2m)^3(m^4)^5

   =[tex](2^3 m^3) (m^{20} )\\Acoording \,to\,exponential\,rules \, exponent 4 \, and\, 5 \,were\, \,multiplied\\As\\\2^3 =8 \\so\\8m^3 \times m^{20} \\\\Acoording \,to\,exponential\,rules \, exponent \,3 \,and\,20\,will\,be\,added\\x^{2} 8m^{23}[/tex]

(2m)^3(m^4)^5= 8m^23

2. For solving second part

(-3y^5)^3 x 2y^2

[tex](-3^3) y^{5\times3} \times 2y^2\\\\As \,3^3= 27 \,and\\\\applying \,exponential\, rule \,the\, exponents\ 5 \, and\, 3 \,will\,be\,multiplied\\the \,equation will become\\-27 \,y15 \times 2y^2\\\\applying \,exponential\, rule \,the\, exponents\, 15 \,and\, 2 \,wil, be\,added \\-54 y^{17}[/tex]

(-3y^5)^3 x 2y^2= -54y^17

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Answer:

A: 900 yards

Step-by-step explanation:

im sure... i had the same test question and got it right! pls give me brainliest

Answer:

900 sq. yd.

Step-by-step explanation:

So, we know that the baseball diamond is a square, so we use the equation of a square, A = [tex]a^{2}[/tex]

Since all sides of a square are equal, each is always gonna be 30 yards. So we substitute a for 30

A = [tex]a^{2}[/tex]

A = [tex]30^{2}[/tex]

A = 900 sq. yd.

Which gives you the area of the diamond as 900 sq. yd.