Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!

Answer:

36 years

Step-by-step explanation:

Let

x = Elga's age

Alvin's age = x + 7

Sum of their ages = 79

Sum of their ages = Alvin's age + Elga's age

79 = (x + 7) + x

79 = x + 7 + x

79 = 2x + 7

79 - 7 = 2x

72 = 2x

x = 72/2

x = 36

Elga's age = x = 36 years

Alvin's age = x + 7

= 36 + 7

= 43 years

answer is C. 252 ft^2

split the figure into two pieces and first figure out the rectangle (shown in turquoise).

If you multiply the width and length (18*6) you should get 108.

Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.

Answer:

A total of 51 people prefer biology, 51%

Step-by-step explanation:

Girls: 42

Boys: 58

Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)

Physics: 4 boys and 24 girls(42-[5+13])

Chemistry: 13 girls and 8 boys(21-13=8)

I think this is the answer...

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.

Answer:

3.25

Step-by-step explanation:

10a+46-(3a+2b)

= 10a + 46 - 3a - 2b

= 7a - 2b + 46

Answer:

4 pounds

Step-by-step explanation:

take 20% off the original price. 20(0.20)= 4

So that's a discount of 4 pounds and the sale price is 16 pounds.

The savings is 4 pounds on 1 shirt.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex] {r}^{2} - 10r + 21[/tex]

[tex] = {r}^{2} - 7r - 3r + 21[/tex]

Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have

[tex] = r(r - 7) - 3(r - 7)[/tex]

Taking the factor [tex](x-7)[/tex] as common,

[tex] = (r - 7)(r - 3)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Step-by-step explanation:

Your Answer with

Explanation is given in the attachment

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]

Step 3:

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

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

Answer:

[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

Learn more about permutations

https://brainly.com/question/4658834

#SPJ2

Given:

S.P. = 315

Loss percent = 10%

To find:

The C.P.

Solution:

Let x be the C.P.

We have,

S.P. = 315

Loss percent = 10%

[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]

[tex]315=x-\dfrac{10}{100}x[/tex]

[tex]315=x-0.1x[/tex]

[tex]315=0.9x[/tex]

Divide both sides by 0.9.

[tex]\dfrac{315}{0.9}=x[/tex]

[tex]350=x[/tex]

Therefore, the cost price (C.P.) is 350.

(a⁴-3a²b²+b⁴)/(a²-ab-b²)

Let me know if there is something wrong to my answer ^_^

Answer:

hope it will helpfulll to youuu

Answer:

B. Point B

Step-by-step explanation:

Hello,

f(x+5)=f(x)

Periode is 5

Answer:

It's 4 on acellus, not 5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-13 is the answer I think so but wait for others also because my could be wrong

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]

There are 720 different orders for the candidate name to be printed.

Answer:

[tex]Minimum = (5,7)[/tex]

No maximum

Step-by-step explanation:

Given

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Solving (a): The minimum

The minimum is when the absolute parameter gives 0

i.e.

[tex]0.9|-(x - 5)| =0[/tex]

Divide both sides by 0.9

[tex]|-(x - 5)| =0[/tex]

Open bracket

[tex]|-x + 5| =0[/tex]

Remove absolute sign

[tex]-x + 5 =0[/tex]

Collect like terms

[tex]x = 5[/tex]

Then the y value is:

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Recall that: [tex]0.9|-(x - 5)| =0[/tex]

So, we have:

[tex]f(x) = 0 + 7[/tex]

[tex]f(x) = 7[/tex]

Hence, the minimum is at: [tex](5,7)[/tex]

Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.

Hence. the function has no maximum; i.e.

[tex]Maximum = (\infty,\infty)[/tex]

Answer:

A sample size of 2401 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size would be needed to construct a margin of error of 2% with 95% confidence?

This is M for which n = 0.02.

Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]

[tex]n = 2401[/tex]

A sample size of 2401 is needed.

Answer: 24

Step-by-step explanation:

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

Answer:

Step-by-step explanation:

Answer:

kids at playground

children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best

Answer:

[tex]x=12,\\y=12\sqrt{3}[/tex]

Step-by-step explanation:

In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,

Therefore, we have:

[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]

Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:

[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]

Answer:

[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]

Step-by-step explanation:

Look at the picture.

We have:

[tex]2a=24\\a=x\\a\sqrt3=y[/tex]

Therefore:

[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]

Answer:

f(-3.2) = -7.2

Step-by-step explanation:

Here, we want to calculate f(-3.2)

What we have to do here is to substitute-3.2 for x in the equation for f(x)

Mathematically, we have this as;

f(-3.2) = -3.2-4 = -7.2

Answer:

240 If its wrong pleas correct me

Answer:

c

Step-by-step explanation:

got it right

Answer:

y = 4x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-3) / 2 - 0

8 / 2

= 4

y = 4x + b

5 = 4(2) + b

5 = 8 + b

-3 = b