Matthew got 36 problems right out of a total of 40 problems on a test. What percent of the problems did he get right?

The volume of the rectangular prism is the amount of space in the prism

The volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches

The given parameters are:

Base area = x^2+5x+4

Height = x + 3

The volume is then calculated as:

Volume = Base area * Height

So, we have:

Volume = (x^2+5x+4) * (x + 3)

Expand

Volume = x^3+5x^2+4x + 3x^2+15x+12

Collect like terms

Volume = x^3+5x^2+ 3x^2+4x +15x+12

Evaluate the sum

Volume = x^3+8x^2+19x+12

Hence, the volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches

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Let the smaller number be x .

Then the larger number = 3x

Their sum = -10

This can be written in an equation as :-

[tex]x + 3x = - 10[/tex]

[tex]4x = - 10[/tex]

[tex]x = \frac{ - 10}{ \: \: \: 4} [/tex]

[tex]x = - 2.5[/tex]

Which means :-

The value of the first number = -2.5

The value of the second number = -2.5 × 3 = -7.5

Therefore , the smaller of the two numbers is = -7.5

Answer:

let a + b = -10

where a = 3b

substitute a into the equation: a + b = -10

3b + b = -10

b = -10 / 4

b = -2.5

a = 3b

a = 3(-2.5)

a = -7.5

check:

a + b = -10

-7.5 + (-2.5) = 10

-10 = 10

You multiply (*) the pounds cost by the [tex]10[/tex] pounds when you get that amount you divide it by the cost of granola per pound that will give you [tex]4[/tex] dollars per pound.

Hope it helped!

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

We want to find and solve an equation that tells us the number of pounds of raisins that we need to add to a mixture to get to a desired price.

We will see that we need to add 3 pounds of raisins.

We know that:

If we mix M pounds of raisins with 10 pounds of granola, the total mass will be:

M + 10

The price of this will be:

M*$6.50 + (10)*$3.25

And we want the price of this mixture to e $4.00 per pound, then we have:

M*$6.50 + (10)*$3.25 = (M + 10)*$4.00

Now we need to solve the above equation for M.

M*$6.50 + $32.50 = M*$4.00 + $40.00

M*$6.50 - M*$4.00 = $40.00 - $32.50

M*($6.50 - $4.00) = $7.50

M*$2.50 = $7.50

M = ($7.50)/($2.50) = 3

M = 3

This means that we need to add 3 pounds of raisins.

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Answer:

3/10

Step-by-step explanation:

2/6 is 1/3 x 2/2

4/12 is 1/3 x 4/4

5/15 is 1/3 x 5/5

but 3/10 is 1/3 x 3/3.33333.. which is not quivalent to one third

Answer:

See below.

Step-by-step explanation:

1. 3 * 15 + 4 * 15 - 5 * 15

45 + 60 - 75

105 - 75

30

2. 3x + 4x - 5x

7x - 5x

2x

3. 3(x-2) + 4(x-2) - 5(x-2)

3x - 6 + 4x - 8 - 5x + 10

2x - 4

4. (I'm not typing that out)

7.5x + 19.5 + 10x + 26 - 12.5x - 32.5

5x+13

-hope it helps

Step-by-step explanation:

Hey there!

Given;

y = 2x + 4..........(i)

The point is; (3,2). The equation of line which passes through this point is;

(y-y1) = m2(x-x1)

(y-2)= m2(x-3)........(ii)

From equation (i).

y = 2x+4

Comparing the equation with y = mx+c, we get;

Slope (m1)= 2

As per the condition of parallel lines, (m1=m2).

Therefore, m2= 2.

Now, keeping the slope of m1 in eqaution (ii)

(y-2)= 2(x-3)

y - 2 = 2x - 6

y = 2x -4

Therefore, the equation is y = 2x - 4.

Hope it helps...

Step-by-step explanation:

2x + 4(x + 1) = 2x + 4x + 4 = 6x + 4

Answer:

[tex]6x+4[/tex]

Step-by-step explanation:

[tex]2x+4\left(x+1\right)[/tex]

[tex]Expand\;4(x+1):4x+4[/tex]

[tex]=2x+4x+4[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:2x+4x=6x[/tex]

[tex]=6x+4[/tex]

Hence, 6x+4 expression is equivalent to 2x+4(x+1)

~Lenvy~

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

X=0

Step-by-step explanation:

Swap the side of the equation

8x=0 then divide both sides by eight

x=0

Answer:

d

Step-by-step explanation:

divide

Answer:X=3

Step-by-step explanation:

Answer: y-54=21(x-5) or y=21x-51

Step-by-step explanation:

To find the equation of the tangent line, we first want to find the derivative of the equation.

f(x)=2x²+x-1           [Power Rule]

f'(x)=4x+1

Now that we have the derivative, we use (5,54) to find the slope.

f'(5)=4(5)+1            [multiply]

f'(5)=20+1              [add]

f'(5)=21

With our slope, we can plug it into point-slope form.

y-54=21(x-5)

We can also convert this to slope-intercept form.

y-54=21(x-5)          [distribute]

y-54=21x-105        [add both sides by 54]

y=21x-51

Now, we know the tangent line is y-54=21(x-5) or y=21x-51.

Answer:

the answer is thirty three

Answer:   [tex]0.71 \le x \le 0.95[/tex]

Work Shown:

71% = 71/100 = 0.71

95% = 95/100 = 0.95

x represents the possible values of the scores. The compound inequality above shows that x is between 0.71 and 0.95, including both endpoints. Note the use of "or equal to" as part of each inequality sign.

Step-by-step explanation:

1 yd = 3 ft

1 yd² = 2ft²

1 gallon covers: 15 · 9 = 135 ft²

955 : 135 ≈ 7.074 gal

7.1 gallons

# Jerry Don is here#

The quantity of paint required to paint the platform is 3 gallons.

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Given that the attached figure represents a platform in an auditorium. The crew needs to paint it green. One gallon of paint will cover 40 square yards. One gallon of paint will cover 40 square yards.

The area of the platform is,

Area = (3x2) + 2 ( 7x 2 ) + ( 4 x 2 )2 + 3(6) + ( 5 x 3 ) + ( 4 x 3 ) + ( 2 x 3 ) + ( 7 x 3 )

Area = 6 + 28 + 16 + 18 + 15 + 12 + 6 + 21

Area = 122 square yards.

The quantity of paint required will be calculated as,

Q = 122 / 40

Q = 3 gallons

Therefore, the quantity of paint is 3 gallons.

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#SPJ3

Answer:

Step-by-step explanation:

So,

We'll solve this using the Pythagorean Theorem.

Let

We know that,

[tex]{ \longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }[/tex]

[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = (7) {}^{2} +( 6) {}^{2} }[/tex]

[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 49 +36 }[/tex]

[tex]{ \longrightarrow \sf \qquad (AC) {}^{2} = 85 }[/tex]

[tex]{ \longrightarrow \sf \qquad AC = \sqrt{85} }[/tex]

[tex]{ \longrightarrow \sf \qquad AC \approx 9.21 }[/tex]

⠀

Therefore,

Answer:

A

Step-by-step explanation:

We know that this is the same as substituting a for x and multiplying the entire expression by -1.

[tex]f(a) = \frac{2a}{a - 1} [/tex]

[tex] - f(a) = \frac{ - 2a}{a + 1} [/tex]

Answer:

A. 144

Step-by-step explanation:

8x + 8x + 8x + 3x + 3x = 540°

30x = 540°

x = 18

8x = 144

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Answer:

507

Step-by-step explanation:

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

~~~~~~~~~~~~~~~~~

Divide 6 by 9 to get 0

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

~~~~~~~~~~~~~~~~

Divide 63 by 9 to get 7

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 9\overline{|\smallspace4563}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\emptyspace6\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

      [tex]\begin{matrix}\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace6\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

        [tex]\begin{matrix}\:\:\:\:\underline{\emptyspace6\emptyspace3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{4563}{9}\:\mathrm{is}\:507[/tex]

[RevyBreeze]

Answer:

i think it is C and D

i hope this work for you

and sory if im wrang

Answer:

what is the problem? pls type in comments

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).

[tex]enjoy yourday[/tex]      [tex]hopethishelps[/tex]

Answer:you decide by a number both of the numbers can be devised by like say it’s 8 the number will be 2 (also when you get the nooses to number you can get u stop

Step-by-step explanation:

Answer:

ok so first we have to find the total amount

4*5=20

5*2=10

10*3=30

24*1=24

0*3=0

now lets add up the total

20+10=30

30+24=74

104

then we have to divide by the amount of games to find the average or mean

104/14=7.43(aprox)

so she scores a average of about 7 points a game

Hope This Helps!!!

Answer:

Step-by-step explanation:

Formula

Time period

Calculation of penalty

Answer:

22/24 or 11/12

Step-by-step explanation:

Answer:

9/12, 2/12, 11/12

Step-by-step explanation:

The lowest common denominator of 3/4 and 1/6 is 12.

3/4 * 3/3 = 9/12

1/6 * 2/2 = 2/12

Now that both of the fractions have the same denominator, we can add them.

9/12 + 2/12 = 11/12

I hope this helps! Have a lovely day! :)

Answer:

288

Step-by-step explanation:

The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.

Now, you just divide 36 by 0.125, which is 288.

I hope this helped.

Answer:

The total of the jeans is $40.80

She save $7.20

Step-by-step explanation:

The tax is 2.40

The sale took off 9.60

SO 48.0 + 2.40 - 9.60 = 40.80

pls mark brainliest

Answer:

(D) 36

Step-by-step explanation:

0.5%  = 0.5/100  =  0.005

It is given that the population (215) is predicted to increase by 0.5%. To know the value after increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P  =  215(1.005)t/3, the value of t/3 has to be equal to 1 for 0.5% increase.

t/3  =  1

t  =  3 years

Convert years to months.

n  =  3 ⋅ 12 months

n  =  36 months

The correct option is D.

Thanks!

Mark me brainliest!

Answer:

36

Step-by-step explanation:

Because t/3 means that 0.5% every 3 years. n will be 3 years which is 36 months

Answer:

Given:

1 mile = 1.6 km

So, to find how many miles are in 100 km, we need to divide 100km by 1.6km because one single mile contains 1.6km.

100km/1.6km = 62.5 miles

Answer:

Suppose that we have two line segments, AB and CD. We know that they have the same length.

I know that AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯ means AB is identical to CD (aka. They are the same lines), and also that AB¯¯¯¯¯¯¯¯≅CD¯¯¯¯¯¯¯¯ means that AB and CD have the same size, but what does AB=CD mean?

Step-by-step explanation: