On his last three tests, Mark scored 85, 95, 80. What grade must he get on his next test to have an average of 90 for all four tests

Answer:

the hcf of 32 48 and 72 is 8

Step-by-step explanation:

We have ,

32 = 2×2×2×2×2 = 2^{5}

48 = 2×2×2×2×3 = 2⁴×3¹

72 = 2×2×2×3×3 = 2³×3²

Now,

HCF(32,48,72) = 2³ = 8

/* Product of the smallest power of each common prime factors of the numbers */

The highest common factor of 3248 and 72 is 8.

The LCM of two or more numbers is the least common multiple of them.

The HCF of two or than two given numbers are the highest number that divides them completely.

Given, Are two numbers 3248 and 72.

Let us see is 3248 is completely divisible by 72, it is not.

Now, Check if 3248 is completely divisible by 36, it is not.

Other factors of 72 are 18, and 18 also does not divide 3248.

8 divides 328 complete so the HCF of 3248 and 72 is 8.

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Answer:

2 Hours

Step-by-step explanation:

If Jamie is going 6 miles per hour faster than Agnes, then in 2 hour Jamie should be 12 miles ahead of Agnes

Answer:

If I remember correctly,

P x 9 = $60.75 and 6 x(times) $1.25=c

Step-by-step explanation:

First problem:

Since the total price of all 9 sandwiches is $60.75, that means that the price of one sandwich nine times will equal the total price.

Second problem:

Rather than giving you the total price, it gives you the price of one drink, so to find the total price you would need to multiply the price of one drink by the number of drinks to get the total (the total being c in this case)

Answer:

the answer is 7

Step-by-step explanation:

Answer:

22.5π units² or about 70.65 units²

Step-by-step explanation:

11 [tex]\frac{1}{4}[/tex] is equivalent to 11.25

The formula for the circumference of a circle is 2πr. Using that formula we get:

2*π*11.25 = 22.5π ≈ 70.65

Answer:

70.69 or 22.5 pi

Step-by-step explanation:

To find the circumference of a circle, you can use the formula:

2 x pi x radius

Using this formula, we can substitute the information that we already know, and solve for the circumference:

2 x pi x 45/4

6.28 x 45/4

70.69 or 22.5 pi

Final answer:

The slope of line e, which is perpendicular to line d with a slope of -7/4, is 4/7.

Explanation:

The slope of line d is -7/4. To find the slope of a line perpendicular to d, we use the property that the product of the slopes of two perpendicular lines is -1. So, the slope of line e is the negative reciprocal of -7/4.

To find the negative reciprocal, we find the reciprocal by flipping the fraction and then negate it by changing the sign. Therefore, the slope of line e is 4/7.

Answer:

Circumference = 65.97344573

Step-by-step explanation:

Given the diameter of a circle, we can use the formula C = πd to find the circumference.

C = circumference

π = pi

d = diamater

Equation: 21(π) = 65.97344573

Make sure to round to whatever decimal place is asked for!

Answer:

[tex]\frac{dB}{dt}=4[/tex]

Step-by-step explanation:

Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.

Given:

Number of bees is modeled by the function [tex]B(x)=50\sqrt{k}+2x[/tex]

The daily high temperature is increasing at a rate of 2 °F per day when  the number of bees spotted is 100.

To find:

rate of change of number of bees when 100 bees are spotted

Solution:

[tex]B(x)=50\sqrt{k}+2x[/tex]

Differentiate with respect to t,

[tex]\frac{dB}{dt}=0+2(\frac{dx}{dt}) \\\frac{dB}{dt}=2(\frac{dx}{dt}) \\[/tex]

Put [tex](\frac{dx}{dt}) =2[/tex]

[tex]\frac{dB}{dt}=2(2)=4[/tex]

At x = 100, [tex]\frac{dB}{dt}=4[/tex]

Answer:

28

Step-by-step explanation:

10 - 12^2 ÷(-2)^3

PEMDAS

Exponents first

10-144÷(-8)

Then multiplication and division

10- (-18)

Then add and subtract

10+18

28

Answer:

why don't you answer mine

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

The expressions that are equivalent to -56z + 28 are B. (-1.4z+0.7) * 40 and D.(8z - 4) * (-7), as they both simplify the given expression.

You are looking to find expressions that are equivalent to -56z + 28. Let's simplify each of the given options:

A. 1/2 *(-28z + 14) simplifies to -14z + 7, so this is not equivalent to -56z + 28.

B. (-1.4z+0.7) * 40 simplifies to -56z + 28, which is equivalent.

C. (14 -7z) *(-4) simplifies to -56z + 56, which is not equivalent to -56z + 28.

D.(8z - 4) * (-7) simplifies to -56z + 28, which is equivalent.

E. -2(-28z-14) simplifies to 56z + 28, which is not equivalent since the terms have opposite signs.

The equivalent expressions to -56z + 28 are options B and D.

Answer:

The answer is 14.25 pounds.

Step-by-step explanation:

If the package contains 4 bags of flour and a 7 pound bag of sugar which weighs 64 pounds in total;

I hope this answer helps.

Answer:

the population of fall river will be 48558

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Since 2010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed time, t, in years, since 2010 and the town's population, P(t left parenthesis, t, right parenthesis, is modeled by the following function. P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex] According to the model, what will the population of Fall River be in 2020? Round your answer, if necessary, to the nearest whole number.

My answer:

Given the exponential function:

P(t)=36,800⋅[tex]2^{\frac{t}{25} }[/tex]  where:

As we know, from 2010 to 2010 are 10 years

Hence, to find the population of fall river be in 2020, we substitute t =10 into the given function:

[tex]P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558[/tex]

So in 2020, the population of fall river will be 48558

Hope it will find you well.

Answer:

By 2020 the population of Fall River will be 48558

Step-by-step explanation:

Here, we note that the equation for the model is p(t) = 36,800×2^(t/25)

That is the format;

[tex]p(t) = 36,800 \times 2^{\frac{t}{25}[/tex]

Where:

t = Number of years since 2010

Therefore, the population of the town in 2020 can be found by first finding the number of years between 220 and 2010 and plugging the value into the equation as follows;

Number of years, t = 2020 - 2010 = 10 years

Hence;

[tex]p(t) = 36,800 \times 2^{\frac{10}{25}} = 48557.89 \approx 48558[/tex]

Therefore, according to the model, by 2020 the population of Fall River will be 48558.

Answer:

y = 2 * 3^x

Step-by-step explanation:

y = a b^x

a is the initial value ( when x = 0)

The initial value is 2

y = 2 b^x

Pick a value  (1,6) and substitute it in

6 = 2 * b^1

6 = 2 * b

Divide by 2

6/2 = 2/2 b

3 =b

y = 2 * 3^x

Answer:

170

Step-by-step explanation:

The distance between 120 and -50 on a number line is equal to 170.

In Mathematics and Euclidean Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).

Based on the information provided above, we would determine the distance between the two numerical values 120 and -50 by using the number line as follows:

x = 120 - (-50)

x = 120 + 50

x = 170.

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Answer:

448 subscribers use more than 15 hours per week

Step-by-step explanation:

In this question, we shall be using the proportion of what was gotten from a survey to estimate the number of subscribers that use more than 15 hours per week

From the question, we can see that out of the 50 people surveyed, 28 use more than 15-hours per week based on data

The proportion that thus use 15-hours per week based on data is 28/50

Now to know the number of subscribers out of 800 that use more than 15-hours per week based on data we have ; 28/50 * 800 = 28 * 16 = 448 subscribers

Answer:

39π cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here r = 19.5, thus

C = 2π × 19.5 = 39π cm

Answer:

1/6

Step-by-step explanation:

11/12-3/4

=11/12-9/12

=2/12

=1/6

Answer:

2/12 or 1/6

Step-by-step explanation:

11/12-3/4

First convert the 3/4 to 9/12 becase the numbers have to have the same denominater.

3/4=9/12

11/12-9/12=2/12

Simplified would be 1/6

Answer:

g = -3

Step-by-step explanation:

5g - 10 = -25

5g = -25 + 10

5g = -15

g = -15/5

g = -3

hope it helps!

Answer:

g = - 3

Step-by-step explanation:

5g - 10 = - 25

5g = - 25 + 10

5g = - 15

g = - 15 : 5

g = - 3

Step-by-step explanation:

Step 1:  Distribute

[tex]3(4x - 2) = 9 + 2x + 5[/tex]

[tex](3 * 4x) + (3 * -2) = 14 + 2x[/tex]

[tex]12x - 6 = 14 + 2x[/tex]

Step 2:  Add 6 to both sides

[tex]12x - 6 + 6 = 14 + 6 + 2x[/tex]

[tex]12x = 20 + 2x[/tex]

Step 3:  Subtract 2x from both sides

[tex]12x - 2x = 20 + 2x - 2x[/tex]

[tex]10x = 20[/tex]

Step 4:  Divide both sides by 10

[tex]10x / 10 = 20 / 10[/tex]

[tex]x = 2[/tex]

Answer:  [tex]x = 2[/tex]

Answer:

Step-by-step explanation:

Given that,

The company makes 4 different sweat shirts

Each year they make 60,000 of each kind.

So, if they will make 60,000 sweat shirt for each brand and the company design 4 different brand.

So, number of brand is 4

n = 4.

Then,

1 brand = 60,000

Therefore, 4 brand = 60,000 × 4

4brand = 240,000 sweat shirts.

So, in a year the company will make 240,000 sweat shirts.

The company makes a total of 240,000 sweatshirts each year by producing 60,000 of each of the 4 different kinds.

The question asks for the total number of sweatshirts produced by a company each year if it makes 60,000 of each kind and there are 4 different kinds of sweatshirts.

Therefore, the company makes a total of 240,000 sweatshirts each year.

Answer:

$1,096.00 per month        

Step-by-step explanation:

Divide 1776 by 12 for one payment per month equals 148.

Add the monthly house payment $948 to the monthly tax payment $148. The total monthly payment due is $1,096.00.

Answer:

The lateral surface area of the rectangular pyramid is equal to sum of area of 4 lateral triangles.

Here, the base is square, then 4 lateral triangles have equal area.

=> Lateral surface area of this rectangular pyramid:

A = (area of lateral triangle) x 4

  = (12 x 14 x 1/2) x 4 = 336 (ft2)

=> Option C is correct.

Hope this helps!

:)

The lateral surface area of the given rectangular pyramid is 336 ft²

The lateral surface of an object is all the sides of the object, excluding its base and top.

The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

Given that, a rectangular pyramid, we need to find the lateral surface area of the rectangular pyramid,

The lateral surface area of the rectangular pyramid is equal to the sum of area of 4 lateral triangles.

Here, the base is square, then 4 lateral triangles have equal area.

Therefore, the lateral surface area of this rectangular pyramid:

A = (area of lateral triangle) x 4

= (12 x 14 x 1/2) x 4

= 336 ft²

Hence, the lateral surface area of the given rectangular pyramid is 336 ft²

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Answer:

Step-by-step explanation:

Volume of the box = 400 cubic inches

length * width * height = 400

length * 8 * 5 = 400

length * 40 = 400

length = 400/40

length = 10 inches

Answer:

Step-by-step explanatio

it is C

Answer: The answer is the second one Letter B.

when the number of hours increases, the number of miles increases

Hope this help You Yo.

Answer:

(x+9) (x-7)

Step-by-step explanation:

x^2 + 2x − 63

What 2 numbers multiply to -63 and add to 2

9* -7 = -63

9+-7 = 2

(x+9) (x-7)

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is [tex]\pi r^2[/tex].

We know that circumference of a circle is [tex]2\pi r[/tex].

5 times the value of circumference would be [tex]5(2\pi r)=10\pi r[/tex].

Now we will equate 5 times circumference with area as:

[tex]\pi r^2 = 10\pi r[/tex]

Let us solve for r.

[tex]\pi r\cdot r = 10\pi r[/tex]

[tex]\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}[/tex]

[tex]r=10[/tex]

Therefore, the radius of the circle would be 10 units.

Answer:280

Step-by-step explanation:

25% of x = 70

x= 280