Mr. Pinello has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. What is the greatest number of containers he can make if he wants each container to have the same number of colored pencils and markers

Answer:

Steps:

SA = 2L² + 4(LH)

SA = 2×11² + 4(11×9)

SA = 2×121 + 4×99

SA = 242 + 396

SA = 638 mi²

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

1 taco is $4

Step-by-step explanation:

2t + 3d = 14              4t + 6d = 28

3t + 2d = 16              -9t -6d = -48

-5t = -20

t = 4

A tacos would cost $4.00.

Translating the word problem into an algebraic equation, we have;

[tex]2T \; + \; 3D = 14[/tex]   ......equation 1

[tex]3T \; + \; 2D = 16[/tex]   ......equation 2

To find how much a tacos cost, we would solve the above system of equations by using the substitution method.

From eqn 1, we would make D the subject of formula;

[tex]D = \frac {14 \; - 2T}{3}[/tex]  .....equation 3

Substituting eqn 3 into eqn 2, we have;

[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]

Lowest common multiple (LCM) = 3

[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]

Cross-multiplying, we have;

[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]

Tacos, T = $4.00

Therefore, the cost of a tacos is $4.00.

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9514 1404 393

Answer:

  (a)  yes

Step-by-step explanation:

Put the numbers in for x and y and see if you get a true statement.

  5 ≤ 2(4) +1

  5 ≤ 9 . . . . . . true

The point is a solution.

Answer:

5 seconds

Step-by-step explanation:

I did the same question a while ago.

Answer:

The vertex of the parabola is

✔ (210, 138)

The highest the ball traveled was

✔ 138

feet.

Step-by-step explanation:

Edge 2022

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The highest the ball has travelled is 138 feet.

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in form (x, y);

a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.

A.) In the given quadratic equation, the vertex of the equation is  y=-0.003(x-210)² + 138 is (210,138).

B.) Since the vertex is the highest point, therefore, The highest the ball has travelled is 138 feet.

The complete question is,

Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modelled its flight path as a parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the

path of the ball.

The vertex of the parabola is ?

The highest the ball travelled was? Feet

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9514 1404 393

Answer:

  32x ft²

Step-by-step explanation:

The area of the garden plus patio is ...

  (x +8)² = x² +16x +64

The area of the patio is ...

  (x -8)² = x² -16x +64

The area of the flower garden is the total area less the patio area:

  (x² +16x +64) -(x² -16x +64) = 32x . . . area of the flower garden

Answer:

90

Step-by-step explanation:

Answer:

42 multpliy by 6

Step-by-step explanation:

Sheldon bought 7 boxes of cookies if he spent $42 on cookies.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of one box of cookies = $6.

And total amount spent by Sheldon on cookies = $42.

Let Sheldon bough x boxes of cookies.

To find the number of boxes of cookies x,

Use ratio property,

Cost of one box of cookies = $6

Cost of x boxes of cookies = $6x

Total price = 42

6x = 42

x = 7

The required number of boxes of cookies is 7.

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Answer:

c = 8.7 inches

Step-by-step explanation:

a^2 + b^2 = c^2

Substitute in the known values for a and b (the order doesn't matter):

(4.8)^2 + (7.3)^2 = c^2

multiply 4.8 times itself, 7.3 times itself:

23.04 + 53.29 = c^2

76.33 = c^2

Now find the square root of both sides of the equation (square root of c^2 = c):

8.736= c

It says round to the nearest tenth, so c = 8.7 inches

Answer:

13.89

Step-by-step explanation:

A^2+B^2=C^2

7^2+12^2=C^2

193 = C^2

193 square root = 13.89

Answer:

Step-by-step explanation:

28 : 50 and 15 : 30

14 : 25 and 1 : 2 are not equivalent

Answer:

140

Step-by-step explanation:

Here, we use BODMAS

12 x (3+2)² ÷ 2 - 10

12 x (5)² ÷ 2 - 10

12 x (5)² ÷ 2 - 10

12 × 25 ÷ 2 - 10

12 × 12.5 - 10

150 - 10 = 140

Thus, The answer is 140

-TheUnknownScientist

Answer:

P=646

R=5%

T=2yrs

I=?

I=PRT/100

I= 646*5*2/100

I= 64.6

Step-by-step explanation:

Answer:

the answer is 100

Step-by-step explanation:

646 X 5 IS 3000

3000/5 is 600

and then round tenth so its 10

600/10 is 60

60 + 40 = 100 and there you go bravo

Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Answer:

11/24

Step-by-step explanation:

first we work out the bracket -5/8+1/3= -7/24. then 1/6 - -7/24 two negatives means you will add to get the answer

Answer:

c

1,400

Step-by-step explanation:

We take the sample proportion of skunks and estimate for the entire population.

Sample:

140 skunks out of 230 + 140 + 120 = 490 animals.

140/490 = 0.28571428571

If a random sample of 5,000 animals are trapped in the city, how many skunks would be estimated to be included?

0.28571428571 out of 5000. So

0.28571428571*5000 = 1429

Close to 1400, which means that the answer is given by option C.

Answer:  58 .23

Step-by-step explanation:

Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is

a 45% chance they'll win.

Answer:

a

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

Step-by-step explanation:

Answer:

[tex](a)\ \frac{dP}{dt} = 0.078- 0.000857t[/tex]

[tex](b)\ P = 0.078t- 0.0004285t^2 + 7.02[/tex]

[tex](c)\ 9.37\ billion[/tex]

Step-by-step explanation:

Given

In 2012

[tex]P(t) = 7.02\ billion[/tex]

[tex]R_1 = 134\ million/year[/tex] --- Birth rate

[tex]R_2 = 56\ to\ 80[/tex] -- Death rate from '12 to '40

Solving (a): Equation for population from 2012

In 2012, we have the addition in population to be:

[tex]\triangle P= Birth - Death[/tex]

[tex]\triangle P= 134 - 56[/tex]

[tex]\triangle P = 78[/tex] million

From 2012 to 2040, we have the death rate per year to be:

[tex]Rate/yr = \frac{80 - 56}{2040 - 2012}[/tex]

[tex]Rate/yr = \frac{24}{28}[/tex]

[tex]Rate/yr = \frac{6}{7}[/tex] million/year

So, the differential equation is:

[tex]\frac{dP}{dt} = \triangle P - Rate/yr * t[/tex] where t represents time

[tex]\frac{dP}{dt} = 78 - \frac{6}{7} * t[/tex]

[tex]\frac{dP}{dt} = 78 - \frac{6t}{7}[/tex]

Express in millions

[tex]\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}[/tex]

[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]

Solving (b): The solution to the equation in (a)

[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]

Make dP the subject

[tex]dP = (0.078- 0.000857t)dt[/tex]

Integrate both sides

[tex]\int dP = \int (0.078- 0.000857t)dt[/tex]

[tex]P = \int (0.078- 0.000857t)dt[/tex]

This gives:

[tex]P = 0.078t- \frac{0.000857t^2}{2} + c[/tex]

[tex]P = 0.078t- 0.0004285t^2 + c[/tex]

Solve for c.

When t = 0; P = 7.02

So, we have:

[tex]7.02 = 0.078*0- 0.0004285*0^2 + c[/tex]

[tex]7.02 =0-0 + c[/tex]

[tex]7.02 =c[/tex]

[tex]c = 7.02[/tex]

So:

[tex]P = 0.078t- 0.0004285t^2 + c[/tex]

[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]

Solving (c): The population in 2050

We have:

[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]

In 2050, the value of t is:

[tex]t = 2050 - 2012[/tex]

[tex]t = 38[/tex]

So, the expression becomes

[tex]P = 0.078*38- 0.0004285*38^2 + 7.02[/tex]

[tex]P \approx 9.37\ billion[/tex]

Answer:

The answer is C

Step-by-step explanation:

Trust me I made a graph to organize the numbers

Answer:

I think the Length is 5 cm and the width is 7 cm

Step-by-step explanation:

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Work:

[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]

Answer:

14.5

Step-by-step explanation:

Answer:

10/30

Step-by-step explanation:

First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

Answer:

Stament a, b, and c are correct.

Statement d is INCORRECT.

Step-by-step explanation:

Based on the dot plots given, the following statements are true and correct:

✔️Statement A is correct

Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.

✔️Statement b is correct:

Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.

✔️Statement c is correct:

Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.

❌Statement d is NOT CORRECT

Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.

Answer

40.5

Step-by-step explanation