What is the mode for the month?

Answer:

The total volume of water in the pool  =-2 (x-11)(x+5) ft^3

Step-by-step explanation:

a) (2x^2 + 12x + 10) - (4x^2-100)

= 2x^2+12x+10-4x^2+100

= -2x^2+12x+110

b)

Lets simplify first by taking the GCF out:

= -2 (x^2-6x-55)

Now Just simplify by finding the product of a and c

I used -11 and 5 because when you multiply -11x5 you get -55, and when you do -11+5 you get -6.

= -2 (x-11)(x+5) ft^3

Answer:

Given expressions

Deep end:   [tex]2x^2+12x+10[/tex]

Shallow end:  [tex]4x^2-100[/tex]

a) Difference between the deep end and shallow end

⇒ difference = deep end - shallow end

                     [tex]=(2x^2+12x+10)-(4x^2-100)[/tex]

b) simplifying:

                     [tex]=2x^2+12x+10-4x^2+100[/tex]

                     [tex]=(-2x^2+12x+110) \textsf{ ft}^3[/tex]

Answer:

8%

Step-by-step explanation:

STEP 1: State the formula for calculating the rate

[tex]r= \frac{100 \times i}{p \times t} [/tex]

where r is the rate

i is the interest

p is the principal

t is the years

STEP 2: substitute the given values

[tex]r = \frac{100 \times 3000}{15000 \times 2.5} \\ r = \frac{300000}{37500} \\ r = 8[/tex]

[tex]7x = 35[/tex]

[tex]x = \frac{35}{7} = 5[/tex]

Sam bought a baseball glove for $35. That is 7 times as much as he paid for a baseball. Therefore, The ball was 5$.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Sam bought a baseball glove for $35. That is 7 times as much as he paid for a baseball.

Let x be the price of the baseball:

The equation form

7x = 35

x = 35/7

x= 5

Therefore, The ball was 5$

Learn more about the unitary method;

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Answer:

A, D

Step-by-step explanation:

y=-6x+7

1. -11=-6(3)+7

-11=-18+7

-11=-11

2. 7=-6(-6)+7

7=36+7

[tex]7\neq[/tex]43

3. 1=-6(-1)+7

1=6+7

1[tex]\neq[/tex]13

4. 1=-6(1)+7

1=-6+7

1=1

Answer:

The volume of the prism is 243 cm³

Step-by-step explanation:

The volume of the prism is V = B × H, where

∵ The prism is a triangular prism

∴ Its base is a triangle

∵ The base of it is a right triangle

∴ Its area B = [tex]\frac{1}{2}[/tex] b h, where b and h are the legs of the right angle

→ We have one leg of the right angle and the hypotenuse, so we

   must use the Pythagoras Theorem to find the other leg

∵ (5.4)² + h² = (7.8)²

∴ 29.16 + h² = 60.84

→ subtract 29.16 from oth sides

∴ h² = 31.68

→ Take √  for both sides

∴ h = 5.6284989 cm

→ Now find the area of the base

∵ B = [tex]\frac{1}{2}[/tex] (5.4)(5.6284989)

∴ B = 15.196947 cm²

→ Let us use the rule of the volume above

∵ V = B × H

∵ H = 16 cm

∴ V = 15.196947 × 16

∴ V = 243.151153 cm³

→ Round it to 3 significant figures

∴ V = 243 cm³

∴ The volume of the prism is 243 cm³

Step-by-step explanation:

for #1 it would be the second one.

For #2, it would be the first one

Like terms are the ones that have the SAME variable with SAME exponent. So the ones with x will be considered like terms. The ones with a will also be like terms.

For #1, you would use this fact to combine the like terms. For instance, 3a and -2a are like terms so when they are combined you are left with 1a

Answer:

10%

Step-by-step explanation:

450 is 10% of 4500

Answer:

An 8 ounce glass of orange juice contains 72 milligrams

Step-by-step explanation:

12 ounce...........72 mg

n ounce.............60 mg

n = 12 x 60 : 72 = 10 ounce

Answer:

(this is the equation I perceived from your information, if it's not correct make sure to notify me in the comment section below)

3.33x = 55.5*38

Simplify;

3.33x = 2109

Isolate 'x' by applying inverse operations,

The inverse operation of multiplication is division because 3.33 is being multiplied by 'x'.

÷3.33       ÷3.33

x = 633.333..

Answer:

633.333333

Step-by-step explanation:

3.33 x (blank) = 55.5 x 38

55.5 x 38 = 2109

2109 / 3.33 = 633.333333

3.33 x 633.333333 = 55.5 x 38

Hope this helped. If you need further explanation, let me know!

- profparis

Erica tiene 85 libros y 9 estanterias, para colocar todos los libros sin que le sobre ninguno, puede colocar 17 libros en 5 estanterias.

Primero sabemos que Erica tiene, al menos, 50 libros, entonces si definimos L como el numero de libros que tiene, tendremos:

L ≥ 50.

Si coloca 11 en cada estanteria, le sobran 8, entonces podemos escribir:

L = n*11 + 8   (donde n es un número entero).

Si coloca 9, le sobran 4, entonces:

L = k*9 + 4 (donde k es un número entero).

Entonces tenemos que:

n*11 + 8 =  k*9 + 4

n*11 - k*9 + 8 - 4 = 0

n*11 - k*9 + 4 = 0

n = (k*9 - 4)/11

Lo que podemos hacer es evaluar k en distintos valors enteros de tal forma que la solucion de n tambien sea entera. Por ejemplo, si k = 2 tendremos:

n =  (2*9 - 4)/11 = 14/11

Notar que en este caso n no es entero, asi que no sirve.

Seguimos, si k = 9 tendremos:

n = (9*9 - 4)/11 = 77/11 = 7

Ambos son enteros.

Entonces Erica tiene:

L = 9*9 + 4 = 85 libros en total.

Y el numero de estanterias sera el maximo entre n y k, que es k = 9, hay 9 estanterias.

Para colocarlos sin que le sobren, puede colocar 17 libros en cada estanteria. Asi con 5 estanterias colocara los 85 libros.

Sí quieres aprender más sobre evaluar expresiones, puedes leer:

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Answer: 790

Step-by-step explanation:

From the question, we are informed that student council is raising money for a homeless shelter in the community and that earlier in the year, they had raised 710 for the charity.

We are further told that the club then held a raffle to raise funds and after the raffle,they were able to donate a total of 1,500.

The amount that they raised at the raffle will be:

= 1500 - 710

= 790

Answer:

790

Step-by-step explanation:

Answer:

4 is the answer when you evaluate the function

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Check the picture I have provided for each letter assigned to a shape.

I noted every shape with letters.

A and C are squares and all 3 B's and E are rectangles.

Now we need to calculate the surface area of every shape in order to find out the area of the whole shape.

The surface area of A and C can be found by using the following formula:[tex]s^{2}[/tex] where s means side.

A = 16×16 = 256

C = 16×16 = 256

The surface area of B and E can be found by using the following formula: w×l where w = width and l = length.

A single B = 16×8 = 128

All 3 B's = 128×3 = 384

E = 16×8 = 128

The area of the main shape is = 256+256+384+128 = 1024 square cm.

C) 6

Solution: 6.

Because the segments in the triangle are parallel, we can set up a proportion to solve for MN.

[tex]\frac{4}{10}=\frac{x}{15}[/tex]

Answer:

$1,914.50

Step-by-step explanation:

Search it up next time

The Income-tax Sasha has to pay is $2334

The part of income a person pays to the government as a contribution to the growth of the nation is called Income Tax.

Sasha  earns $16 per hour

Total hours she worked is 2000

Total annual income is $16 *2000 = $32000

Deductions = $12550

Net Salary = $32000 - $12550

Salary on which tax has to be paid = $19450

According to the federal law, Tax table 2021

For income in the range of $9,951 to $40,525 the tax will be 12%

12% of $19450 has to be paid

=(12/100) * 19450

=$2334

Therefore, the Income tax Sasha has to pay is $2334

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Answer:

v = 1/3 x area of base x height

volume = 1/3 x (12 x 12) x 8

= 384 cm3

Answer:

A

Step-by-step explanation:

I hope this helps and if it correct pls mark me as brainliest

Answer:

3. the greatest amount is 3

4. the least amount is 1 4/6

5. 3 + 1 4/6 = 4 2/3

6. 3 - 1 4/6 = 1 1/3

Step-by-step explanation:

3. the greatest amount of juice means the quartz and not the quantity

4. the least amount of juice means the quartz and not the quantity

Answer: the large jar is cheaper

Step-by-step explanation:

If you divide the £1.54 by 440g and £1.26 by 340g, you'll find which one is cheaper per gram :

1.54/440 = 0.0035

1.26/340 = 0.0037

So, by comparing both prices/gram, you've found that the large jar is cheaper.

Answer:

what rectangular prism?

Step-by-step explanation:

Answer:

need picture

Step-by-step explanation:

Answer:

<6 months

Step-by-step explanation:

CHECK COMPLETE QUESTION BELOW;

sofia wants to rent an apartment. she visits Apartment a charges $200 for one-time deposit and $400 per month for rent. Apartment b charges $500 for a deposit, but only charges $350 per month in rent. Write in inequality that would determine how many months it would take for cumulative amount paid to be less for apartment b

APARTMENT "A"

✓From the question, the one time charge of appartment "a" = $200

and the monthly rent of the appartment = $400

✓ Let denote the number of months as " y"

We can find the TOTAL COST of the rent for apartment "a" as( 200+400y)

TOTAL COST= (200+400y)

APARTMENT "B"

From the question, the one time charge of the appartment is given as $500,The monthly rent of the appartment is given as $350

The total cost of the rent for the apartment can be expressed as (500+350y)

We need to write and solve an inequality that shows how many months it would take for the total paid to be less for apartment b.

Then the total cost of apartment "a" is less than "b" we can expressed it as;

200+400y<500+350y

Collect like terms, we have

400y-350y<500-200

50y<300

y<6

Hence, it takes less than 6 months it would take for the total paid to be less for apartment b.

Answer:

b

Step-by-step explanation:

Hi ok heres how I got it:

If the equation is y=3x+2, we just need to plug in each x and y value and see which one doesn't work. Either that, or we can just locate it on the graph.

For example,

10,32

Plugging it in gives us:

32=3(10)+2.

This is correct, meaning that A is NOT the answer.

Continuing testing, and we will find that B is the incorrect pair.

13=3(8)+2 is NOT correct.

13=24 is not equal.

Also,

-13=3(-5)+2 CORRECT,

-22=3(-8)+2 CORRECT AS WELL

Answer:

The ordered pair does not lie on the graph of this function is B. (8, 13)

Step-by-step explanation:

=> y = 3x + 2...i)

By putting the value of x in equation i).. from the options

firstly, putting the value of x = 10

=> y = 3(10)+2

=> y = 32

so, its the ordered pair that lie on the graph

now , putting the value of x= 8

=> y = 3(8) +2

=> y = 24 +2

=> y = 26

its 26, so the ordered pair does not lie on the graph of this function is B. (8, 13)

Answer:

-1,-1       -4,0       -4,-4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since there are 100 squares and you shaded 45 that is 45/100 which is equal to 45%

Answer: the third graph

Step-by-step explanation:

The graph for the equation x+2y = 4 is the third graph in the question.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the given function is attached with the answer below. When we plot the graph of the equation x+2y = 4 the line cut the y-axis at 2 and the x-axis at 4.

Therefore graph for the equation x+2y = 4 is the third graph in the question.

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Answer:

16

Step-by-step explanation:

you back track the numbers such as 4 goes back to 2 and 28 goes back to 22 then again and you get x as 9 and y as 16