What is the volume of this rectangular prism?
2 cm
3 cm
7
cm
4

Answer:

360 grams of cereal

Step-by-step explanation:

First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.

Then you have to divide the answer by 12 to get 360 grams of cereal.

I hope this helped ;)

Answer:

184 square inches

Step-by-step explanation:

Bases: 4 in × 5 in × 2 bases = 40 in²

Smaller pair of lateral faces: 4 in × 8 in × 2 faces = 64 in²

Larger pair of lateral faces: 5 in × 8 in × 2 faces = 80 in²

40+64+80=184 in²

The surface area of the box is 184 in² or 184 square inches.

Answer: B) 184 Square Inches

Step-by-step explanation:

To find the surface area of the box we have to use the formula, the formula is  A = 2wl + 2lh + 2hw....

To find the front and the back we have to multiply the width and the length...

8 * 5 = 40 + 40 = 80

To find the right and the left we have to multiply the length and the height...

8 * 4 = 32 + 32 = 64

To find the bottom and the top we have to multiply the height and the width...

4 * 5 = 20 + 20 = 40

40 + 64 + 80 = 184

The surface is 184 square inches, I hope this helps!

Answer:

hope this helps you

Answer:

i put 2

Step-by-step explanation:

Answer:

a) An event with probability 0 is said to be impossible

b) An event with probability 1 is said to be certain

c) The probability of getting a head when flipping an unbiased coin is shown by the letter A

Step-by-step explanation:

a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.

b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.

c) The probability of getting a head on an unbiased coin is [tex]\frac{1}{2}[/tex] or [tex]0.50[/tex]. This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.

Answer:

U = 48

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+21 + x+23 + x+61 = 180

Combine like terms

3x + 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide by 3

3x/3 = 75/3

x = 25

We want angle u

x+23

25+23

48

Answer:

48

Step-by-step explanation:

All interior angles of a triangle add up to 180.

[tex](x+21)+(x+23)+(x+61)=180[/tex]

If you wanted to you could subtract 21, 23, and 61 from 180.

[tex](x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75[/tex]

Then take then number that's left and divide it by three, since they are all in addition to the same variable.

[tex]\frac{3x}{3}=\frac{75}{3}\\ x=25[/tex]

Then add 25 to 23 which is 48.

Answer:

There are £32.64 are in 1,088 rubles.

Step-by-step explanation:

To solve this

step 1: find cost of 1 rubble

step 2: multiply number of rubble with cost of one rubble.

cost of 850 rubles = £25

we need to find cost of 1 rubles, for that we divide lHS and RHS with 850

cost of 850/850 rubles = £25/850 = £0.03

cost of 1 rubles = £0.03

Therefore cost of 1088 rubles = 1088* cost of 1 rubles

                                                  = 1088 * £0.03 = £32.64.

Thus, there are £32.64 are in 1,088 rubles.

Answer:

no

Step-by-step explanation:

they can be either side because the numbers are different in the angles

Answer: choice D) 5

Step-by-step explanation:

22.5/9=2.5

23.5/2.5=9.4

9.4-4.4=5=x

Answer:

aₙ= 3n+1

Step-by-step explanation:

4 ,1 -2, -5 ,-8

AP with a₁=4 and d= -3

----------------

aₙ= 4+3*(n-1)= 4+3n-3= 3n+1

aₙ= 3n+1

If x² = y³ , for what value of z does [tex]x^{3z}[/tex] =  [tex]Y^{9}[/tex]  ?

Answer:

z= 2

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]X^{3z}[/tex] =  [tex]Y^{9}[/tex]   -----------------------------------------------------------------(1)

but   applying the law of indices mᵃᵇ = (mᵃ)ᵇ

then

[tex]Y^{9}[/tex]  = [tex](Y^{3})^{3}[/tex]

replace  [tex]Y^{9}[/tex]  by  [tex](Y^{3})^{3}[/tex]  in equation (1)

[tex]X^{3z}[/tex] =  [tex]Y^{9}[/tex]

[tex]X^{3z}[/tex] =   [tex](Y^{3})^{3}[/tex]   --------------------------------------------------------------------(2)

but  from the question x² = y³

replace y³ by x²  in equation (2)

[tex]X^{3z}[/tex] =   [tex](Y^{3})^{3}[/tex]

[tex]X^{3z}[/tex] =   [tex](X^{2})^{3}[/tex]

[tex]X^{3z}[/tex] =   [tex]X^{6}[/tex]

3z = 6

divide both-side of the equation by 3

3z/3 = 6/3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3  at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3

z= 2

Answer:

Step-by-step explanation:

Zeros:  Set g(r) = (r + 14)^2 - 49 = to 0, obtaining

(r + 14)^2 = 49

Taking the square root of both sides, we get:

r + 14 = ± 7, which results in:

r = -14 + 7 = -7 and r = -14 - 7 = -21

The smaller root is -21 and the larger one is -7.

Vertex:  Compare g(r) = (r + 14)^2 - 49 to y = (x - h)^2 + k, where (h, k) represents the vertex.  We see that h = -21 and k = -49, so that we know the vertex to be (-21, -49).

Answer:

The game is not fair

Step-by-step explanation:

A wheel with seven sectors:

Red Sectors  = 2   |  Probability  = 2/7

Purple sectors  = 2  |  Probability  = 2/7

Yellow sectors  = 2 |   Probability  = 2/7

Blue sectors  = 1  |  Probability  = 1/7

Landing on the blue sector will give 3 points,  => 3 * 1/7  = 3/7    points

landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7   points

landing on a purple sector will give 0 points => 0 * 2/7  = 0   points

landing on a red sector will give –1 point.  =>  - 1 * 2/7  = -2/7 points

Expected value  =  3/7 + 2/7 + 0 - 2/7

= 3/7

Expected value  =  3/7

3/7   < 1/2

=> game is not fair

If expected value = 3.5/7 = 1/2  then game will be fair

hence if we make 3.5 points for Landing on the blue sector

then game will be fair.

Answer: well i'm too young to answer this lol

1. 7

2. change the value of the colors. each color should have at least 1 or 2 points for each sector.

Step-by-step explanation:

1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7

2. dk how to explain this i'm running out of time

Answer:

chance of:

red 7/40 = 17.5%

yellow 3/10 = 30%

orange 1/5 = 20%

white = 13/40 = 32.5%

Step-by-step explanation:

7+12+8+13 = 40 total cards

7 red/ 40 possible

12 yellow/40 possible = 3/10

8 orange/40 possible = 1/5

13 white/40possible

Using it's concept, it is found that the experimental probability of each outcome is given by:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers are taken from previous outcomes.

In this problem, there are 40 cards.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

Exponential Regression. An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .

Step-by-step explanation:

Answer:

14 bags

Step-by-step explanation:

Total potato grown on Pat's potato farm = 490 pound

Fraction of potato delivered to vegi stand = 3/7 of total potato

Therefore,

Potato delivered to Vegi stand in pound = 3/7 of Total potato grown

                                                                     =  3/7 of 490 = 3/7 * 490

                                                                     = 210

Thus, 210 pound potato is delivered to vegi stand

___________________________________________

Fraction of potato delivered to local grocery store = 2/3 of  potato delivered to Vegi stand

Therefore,

Potato delivered to local grocery store in pound = 2/3 of  potato delivered to Vegi stand

                                                                     =  2/3 of 210 = 2/3 * 210

                                                                     = 140

Thus, 140 pound potato is delivered to local grocery store.

____________________________________________________

Half of the potatoes delivered were packaged into 5 pound bags

Half of 140 pound potato is delivered to local grocery store will be

140/2 = 70 pounds.

Thus, 70 pounds potatoes were packed in 5 pound bags.

Let the the no of 5 pounds bag be x.

if one bag has 5 pound potatoes then

x bag will have 5*x = 5x pound potatoes,

but it is given that  70 pounds potatoes were packed in 5 pound bags.

thus,

5x = 70

x = 70/5 = 14

Thus, 14 bags were packed by grocery store package.

Answer:

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

Step-by-step explanation:

No of questions= 20

Right= x, Wrong= y, right= 2 points, wrong= -1 point, total points= 28

Correct pair of equations:

solution:

======

The mistake is:

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

Answer:

Step-by-step explanation:

Finished on edge 2020

Answer:

b

Step-by-step explanation:

b

The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = x/9

This is the equation of a straight line, which is -

y = mx + c

{m} is slope and is also called the constant of proportionality.

We can write -

y = (1/9)x + 0

So, the constant of proportionality is equivalent to (1/9).

Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

Answer:

The measure of angle B would be 100°

Step-by-step explanation:

Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100

Answer:

(x - 6)(x + 1)

Step-by-step explanation:

Given

x² - 5x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 6 and + 1 , since

- 6 × 1 = - 6 and - 6 + 1 = - 5, thus

x² - 5x - 6 = (x - 6)(x + 1) ← in factored form

Answer:

(x+1) (x-6)

Step-by-step explanation:

factorice la expresion

x^2 + x - 6x- 6

x(x + 1) -6(x + 1)

la solucion es:

(x + 1) (x - 6)

Answer:

[tex]\frac{log(y+4)}{2log3}[/tex]

Step-by-step explanation:

Given the exponential equation [tex]y = 3^{2x}+4[/tex], to get 2x, we will make 2x the subject of the formula as shown;

[tex]y = 3^{2x}-4\\y+4 = 3^{2x}\\taking\ log\ of\ both\ sides\\log(y+4) = log3^{2x}\\ log(y+4) = 2xlog3\\dividing\ both\ sides\ by\ 2log 3\\\ x = \frac{log(y-4)}{2log3} \\[/tex]

The last expression gives the required value of x

Answer:

No, x = -12/23 , y = -14/23

Step-by-step explanation:

Solve the following system:

{-3 x - 4 y = 4 | (equation 1)

y - 5 x = 2 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + y = 2 | (equation 1)

-(3 x) - 4 y = 4 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x - (23 y)/5 = 14/5 | (equation 2)

Multiply equation 2 by 5:

{-(5 x) + y = 2 | (equation 1)

0 x - 23 y = 14 | (equation 2)

Divide equation 2 by -23:

{-(5 x) + y = 2 | (equation 1)

0 x+y = (-14)/23 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = 60/23 | (equation 1)

0 x+y = -14/23 | (equation 2)

Divide equation 1 by -5:

{x+0 y = (-12)/23 | (equation 1)

0 x+y = -14/23 | (equation 2)

Collect results:

Answer: {x = -12/23 , y = -14/23

Answer:

34

Step-by-step explanation:

j

Answer:

it would be 31

Step-by-step explanation:

Answer:

the answer is 2.

Step-by-step explanation:

the basic form of this equation is y=mx+c where c is the y intercept and m is the gradient. c=2 so 2 is the y intercept

Answer:

[-2 , +∞[

Step-by-step explanation:

g(12) = |12 - 12| - 2 = -2

if x ≠ 12 then |x - 12| ≥ 0 because the absolute value I should always positive.

then |x – 12| – 2 ≥ -2

then g(x) ≥ -2

then the range is [-2 , +∞[

Answer:

B

Y is greater than or equal to -2

Answer:

x=8 and y=2

Step-by-step explanation:

x+y=10

x=4y

x+y=10

4y+y=10

5y=10(divide both sides by 5)

y=2

x=4y=4*2=8

Answer:

2 and 8.

Step-by-step explanation:

y = -x + 10

y = 4x

If we subtract we eliminate y:

0 = -x + 10 - 4x

0 = -5x + 10

5x = 10

x = 2.

and y = 4 * 2 = 8.

Answer:

7x^2 -3x +8

Step-by-step explanation:

(9x^2+8)-(2x^2+3x)

Distribute the minus sign

(9x^2+8)-2x^2-3x)

Combine like terms

9x^2 -2x^2 -3x+8

7x^2 -3x +8

Answer:

[tex]5x {?}^{2} + 8 - 3x [/tex]

[tex]9x {?}^{2} + 8 - (4x {?}^{2} + 3x) \\ 9x {?}^{2} + 8 - 4x - 3x \\ 5x {?}^{2} + 8 - 3x[/tex]

Answer:

400 texts

Step-by-step explanation:

Answer:

The answer is A)

Step-by-step explanation:

Answer:

It will take 60 hours for 2 elephants to set up the tent.

Step-by-step explanation:

Represent set-up time by T and the number of elephants by E.  T varies inversely with E:

T  = k/E, or TE = k

If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and

T = 120/E

Now let E = 2.  We get T = 120/2, or 60

It will take 60 hours for 2 elephants to set up the tent.