Solve the equation and check.
37x + 16 = 6(6x + 6)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
OC. There is no solution.

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. a + 18d = 548)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

-TheUnknownScientist

Answer:

475 children

Step-by-step explanation:

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Step 1

We find the total number of visitors the restaurant had over the weekend. This is calculated as:

Let the total number of visitors = x

4/9 × Total number of visitors = 380 Adults

4/9 × x = 380

4x/9 = 380

Cross Multiply

4x = 9 × 380

x = 9 × 380/4

x = 855 visitors.

Step 2

The number of visitors that were children is calculated as:

Total number of visitors - Number of Adults

= 855 visitors - 380 Adults

= 475 children

Answer:

.78 cents

Step-by-step explanation:

To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.

In this case that would look like: $19.50/100 times 4 =.78

Answer:

b

Step-by-step explanation:

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

Step-by-step explanation:

use the distance formula. calculate the distance between AB and then between CD showing AB = CD.

then use the distance formula on BC and AD, showing they are equal.

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

1. Formula for simple interest,

[tex]a = p(1 + rt)[/tex]

where

a = Final amount

p = Principal amount

r = annual interest rate

t = time in years

given p = 1250

r = 4.25/100 (r is a raw number, not percentage, so we need to divide 100 here to get the raw number)

t=4

Substitute values into formula to get a.

[tex]a = 1250(1 + (\frac{4.25}{100})(4)) \\ = 1250(1 + 0.17) \\ = 1250(1.17) \\ = 1462.50dollars[/tex]

Let's use the simple interest to calculate Henry's final amount first.

p = 5000

r = 4.2/100

t = 4

[tex]a = 5000(1 + ( \frac{4.2}{100} )(4)) \\ = 5000(1 + 0.168) \\ = 5000(1 .168) \\ = 5840 \: dollars[/tex]

To calculate the interest paid, just use the final amount minus the principal amount

[tex]a - p = 5840 - 5000 \\ = 840dollars[/tex]

Now we will do the exact same method for Ingrid.

p = 5,000

r = 3.9/100

t = 6

[tex]a = 5000(1 + ( \frac{3.9}{100} )(6)) \\ = 5000(1 + 0.234) \\ = 5000(1.234) \\ = 6170 \: dollars[/tex]

[tex]a - p = 6170 - 5000 \\ = 1170dollars[/tex]

Difference in interest between 2 of them =

Interest of Ingrid Loan - Interest of Henry Loan

= 1170 - 840

= $330

Answer:

Step-by-step explanation:

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

Answer:

2.86478897565  or   3 (if rounded to the nearest whole number)

Step-by-step explanation:

How we find circumference by using diameter is divide the diameter by pi

SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)

Can u mark me as brainlist? :)

HAVE A GREAT DAY!

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:

1, 4, and 7

Step-by-step explanation:

1, 7, 4

Opposite angles are congruent

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

Answer:

B keeping his debt above 30% of his credit card limit.

Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                            y - y₁ = m(x - x₁)

m = -5

(-2, 7)    ⇒   x₁ = -2,  y₁ = 7

y - 7 = -5(x - (-2))

y - 7 = -5(x + 2)            

(a, 2)   ⇒   2 - 7 = -5(a + 2)

                   -5 = -5a - 10

                   5a = 5 - 10

                     5a = -5

                       a = -1

Step-by-step explanation:

Given

[tex]q + p = 2(q - p)[/tex]

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

[tex]qp = 675[/tex]

as equation 2.

Using equation 2,

[tex]q = \frac{675}{p} [/tex]

substitute this equation into equation 1.

[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]

Substitute P into equation 2.

[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]

Therefore the woman is 45 years old while her son is 15 years old.

Answer:

this is your answer look it once.

Answer:

this is your answer look it once:

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

Step-by-step explanation:

Total petrol consumption of the journey=

Total distance travelled ÷ Average petrol consumption

[tex] = 280 \div 35 \\ = 8 \: gallons[/tex]

Given 1 gallon = 4.5 litres,

[tex]8 \: gallons \: = 8 \times 4.5 \\ = 36 \: litres[/tex]

Total cost of petrol for this particular journey = Petrol consumed x cost of 1 litre of petrol

[tex] = 4.5 \times 49 \\ = 220.50 \: dollars[/tex]

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

Answer:

6in, 8in and 10in

Step-by-step explanation:

For a right angled triangle :

The hypotenus, thee longest side in The triangle should be :

Hypotenus = sqrt((opposite² + adjacent²))

The most appropriate from the option would be :

6in, 8in and 10in

Hypotenus = sqrt((6² + 8²))

Hypotenus = sqrt(36 + 64)

Hypotenus = sqrt(100)

Hypotenus = 10

Answer:

C. 6 in., 8 in., and 10 in.  

Step-by-step explanation:

Just did it on edge

Answer:

[tex]1.2 \times 3.14[/tex]

Step-by-step explanation:

The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol

[tex]\pi[/tex]

Therefore, knowing the diameter d, the circumference is equal to d*π

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct