If their is 17 boys and 16 girls what is the percent of girl in the class

Answer:

[tex]7+(11-4\times 2)=10[/tex]

Step-by-step explanation:

So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.

So, we have:

[tex]7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10[/tex]

So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:

[tex]7+(11-4\times 2)=10[/tex]

This is a true number sentence. Let's do it to make sure.

First, do the operations inside the parentheses.

Multiplication comes first, so multiply:

[tex]7+(11-8)=10[/tex]

Again, do the parentheses first. Subtract:

[tex]7+(3)=10[/tex]

Now add:

[tex]10=10[/tex]

So our answer is correct :)

Answer:

The answer is 10.12

Step-by-step explanation:

You add both numbers together and then subtract the sum to the 40 dollars

The image showing the dimensions of the truck in question is missing, so i have attached it.

Answer:

Max amount of cargo that can fit in new truck = 756.39 cu.ft

Step-by-step explanation:

From the diagram attached, we can see that the delivery truck is in the form of a cuboid.

So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.

This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.

For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".

Converting the dimensions to inches, we know that, 1 ft = 12 inches

Thus;

6' 6" = (6 × 12) + 6 = 78"

7' 8" = (7 × 12) + 6 = 90"

14' 3" = (14 × 12) + 6 = 174"

Thus, volume of cuboid = Length x width x height

Thus, volume of cuboid 1 is;

V1 = 78 × 90 × 174 = 1221480 cu.inches

Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".

To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"

So Converting these to inches gives;

7' 8" = (7 × 12) + 8 = 92"

2' 7" = (2 × 12) + 7 = 31"

2' 6" = (2 × 12) + 6 = 30"

Volume of cuboid 2 is;

V2 = 92 × 31 × 30 = 85560 cu.inches

Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches

Now, converting cu.inches to cu.ft, we know that;

1 cu.inches = 1/1728 cu.ft

Thus;

1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft

Answer:

12

Step-by-step explanation:

v=[tex]\pi[/tex]r²h

84[tex]\pi[/tex]=

84[tex]\pi[/tex]÷7

12=r²

area of a circle is [tex]\pi[/tex]r²

so B is 12[tex]\pi[/tex]in²

The area of the base of the cylinder in the image given will be  12pi in.

The formula for the volume of a cylinder = πr²h, where:

Base area of the cylinder (B) = πr²

(r is the radius)

The Height of the cylinder = h

The given cylinder has the following,

Height of cylinder (h) = 7 in.

Volume of cylinder = 84pi in.³

Then Substitute into the volume formula:

(πr²)7 = 84pi

(B)7 = 84pi (B = area of the base)

Divide both sides by 7;

(πr²)7/7 = 84pi /7

B = 12pi

Therefore, the area of the base of the cylinder in the image given will be  12pi in.

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Answer:

When we have two vectors:

A = (a1, a2)

B = (b1, b2)

The distance between these two vectors is:

D = √( (a1 - b1)^2 + (a2 - b2)^2)

In this case, the vectors are:

U = (38, 22) and W = (55, 30)

The distance between U and W is:

D = √( (38 - 55)^2 + (22 - 30)^2 )

D = √( 289 + 64) = √353 = 18.7882

We want to round it to the nearest thousandths (the third digit to the right of the decimal point).

Then we must look at the next one (the fourth)

if the fourth digit is 5 or smaller, we round down

if the fourth digit is larger than 5, we round up.

We can see that in 18.7882 the fourth digit after the decimal point is a 2, so we round down, then the distance between U and W is:

D = 18.788

Now i guess that you want a line that connects U with W so the robot can follow it,

To find the line you can use a linear relation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

So we want a line that passes through the points U and W, the slope of this line will be:

a  = (30 - 22)/(55 - 38) = 0.47

Then the equation is:

y = 0.47*x + b

to find the value of b, we know that this line passes through the point (38,22) then:

y = 22 = 0.47*38 + b

b = 22 - 0.37*38 = 7.94

The line that can use the robot to go from U to W is:

y = 0.47*x + 7.94

Answer:

2A=54°

2B=36°

Step-by-step explanation:

2A=x+18

2B=x

x+x+18=90

2x=90=18

2x=72

x=36

2A=x+18=36+18=54

2B=x=36

Answer:

95%

Step-by-step explanation:

We convert 80 into ten or 100. In this case, we should use 10.

76/80 = 9.5/10

Then we set the denominator as 100. (because percentages have a denominator as 100)

95/100

Then it's 95%. Hope this helps.

Answer:

step by step

Step-by-step explanation:

I dont understand ?? try to re write it

Answer:

27/8 or 3 3/8, 3.375, (3/2)^3

Step-by-step explanation:

-9/4 divided by -2/3

9/4 divided by 2/3

9/2 x 3/2

Answer:

[tex]\Large \boxed{h(g(f(x)))=-8x^2-40x-50}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5 \\\\ g(x)=x^2 \\\\h(x)=-2x[/tex]

[tex]h(g(f(x)))=-2((2x+5)^2)[/tex]

Expanding and solving for brackets.

[tex]h(g(f(x)))=-2(4x^2+20x+25)[/tex]

Distributing -2 to the terms in the brackets.

[tex]h(g(f(x)))=-8x^2-40x-50[/tex]

Answer:

-8x^2 - 40x - 50

Step-by-step explanation:

f(x) = 2x + 5

g(x) = x^2

h(x) = -2x

h(g(f(x))) =

First find g(f(x))

g(f(x)) = (2x+5) ^2 = 4x^2 + 10x + 10x +25

                            = 4x^2 + 20x + 25

The stick this in for g(f(x)

h(g(f(x))) = -2 (4x^2 + 20x + 25)

             = -8x^2 - 40x - 50

Answer:

-5

3 ( -5 + 1 ) = 2 ( -5 - 1 ) = 0

They both equal negative 12

Answer:

1. 2

2. -6

Step-by-step explanation:

I guess you tried to write -8-(-10) in the first question. Minus sign cancels out minus sign to give addition sign. So that is -8+10 which is 2.

The second question the sam thing applies -11-(-5) which is -11+5 which is -6

Answer:

Density = 4779 grams per liter

Step-by-step explanation:

here we need to convert

pounds to gram

pint to liter

1 pound = 454 grams

1 pint = 0.57 liters

given

density = 6 pounds per pint

now using grams in place of pound and

liter in place of pint we have

density = 6 pounds per pint = 6*454 grams /0.57 liters

density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters

Density when rounded to nearest whole number is 4779 grams / liters

Answer:

2.4

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Since 7.3 is negative then 9.7+-7.3 is equal

9.7 - 7.3=2.4

Answer:

Plan B

Step-by-step explanation:

Let's calculate the amount required for each plan

As we see Plan B costs less

Answer:

6y =y+25

6y-y=25

5y=25

y=25/5

y=5

hope that helps: )

Answer:

y = 5

Step-by-step explanation:

[tex]6y=y+25[/tex]

Subtract y from both sides ;

[tex]6y-y=y+25-y[/tex]

Simplify ;

6y - y = 5y

y -y =0

[tex]5y=25[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{25}{5}[/tex]

Simplify

[tex]y =5[/tex]

Answer:

first divide 1000 by 100 and then multipy the result with 10

Step-by-step explanation:

Answer:

In simplest/simplified form and in descending order, your answer would be -18x^3 + 45x^2. Hope this helps!

Step-by-step explanation:

Answer:the answer is c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

sqrt 169 is 13

sqrt 196 is 14

Step-by-step explanation:

The square root of the number in the fractional form [tex]\frac{169}{196}[/tex] is the number in fractional form [tex]\frac{13}{14}[/tex].

Given a number:

[tex]\frac{169}{196}[/tex]

It is required to find the square root of the number.

The square root of the fraction can be found by taking the square root of each component and dividing it.

That is:

[tex]\sqrt{\frac{x}{y} } =\frac{\sqrt{x} }{\sqrt{y} }[/tex]

Here, x = 169 and y = 196.

So, this can be written as:

[tex]\sqrt{\frac{169}{196} } =\frac{\sqrt{169} }{\sqrt{196} }[/tex]

         [tex]=\frac{13}{14}[/tex]

Hence, the fraction is [tex]\frac{13}{14}[/tex].

Learn more about Fractions here :

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5/6 = 0.83333... (Repeating)

2/11 = 0.181818... (Repeating)

17/20 = 0.85 (Terminating)

For the number system diagram, from smallest box to larges, it would be natural numbers, whole numbers, and integers, rational numbers, then real numbers. And irrational numbers off to the side, but considering you only have 3 boxes then put the first 3 I mentioned.

It is definetly possible for a number to be both whole and an integer. As long as it's not a fraction, decimal, or negative value.

Answer:

i think the answer is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

First of all multiply both sides by 5

That's

Next divide both sides by 4

That's

[tex]m + 7 = \frac{5n}{4} [/tex]

Subtract 7 from both sides to make m stand alone

We have

We have the final answer as

Hope this helps you