What is the volume of the rectangular prism?
3 in.
4 in.
54 in.
O A
A 12 in.
O
00
24 in 3
o
C
60 in
D. 73, in
in 3
.

Answer:

∠1 = 5 degrees

∠2 = 85 degrees

Step-by-step explanation:

if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)

( x - 12) + 5x = 90

6x -12 = 90

6x = 90 + 12

6x = 102

x = 102/6

x = 17

Put 17 in both the angles instead of x

∠1 = ( x-12)

    = ( 17 - 12)

    = 5

∠2 = 5x

     = 5 (17)

      = 85

now you can even Cross-check

5 + 85

= 90 degrees

Cross-checked

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

Answer:

A=13

hope this helped!!!

Answer:

-13

Step-by-step explanation:

-50=6a+28

collect like terms

-50-28=6a

-78=6a

divide both sides by the coefficient of a

-78/6=6a/6

a=-13

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

Answer:

12

Step-by-step explanation:

36/12=3

48/12=4

Answer:

highest common factor of 36 and 48 is 12

Do you what explanation?

Answer:

$1790.84

Step-by-step explanation:

The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years

Answer:

M=(7,2)

Step-by-step explanation:

M=(10+4/2,5+-1/2)

M=(7,2)

Answer:

2.02 yards per second

Step-by-step explanation:

Distance/time= Average speed or speed

50yard/ 24.76sec=  2.01938 yards per second ~ 2.02 yards per second

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{3.57}\times\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{\rightarrow 10\times10\times10}\\\mathsf{\rightarrow100\times10}\\\mathsf{\rightarrow 1,000}\\\\\textsf{3.57}\times\textsf{1,000}\\\rightarrow\textsf{3,570}\\\rightarrow\mathsf{3.57\times10^3}\\\\\huge\boxed{Answer: {\frak{3.57\times 10^3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Your final grade will be 77%

Step-by-step explanation:

40% will be from your test average which is 95

30% will be from your homework average which is 60

30% will be from your quiz average which is 70

Calculating based on these weights:

(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]

[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]

[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]

[tex] \hookrightarrow \: y = 6x + 1[/tex]

hence, measure of the third side is 6x + 1

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

[tex] \sf \: x=\frac{1}{3} \\ [/tex]

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

Answer:

92

Step-by-step explanation:

[tex]8+x=100\\\\x=92[/tex]

Answer: B. 92

Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92

Answer: it goes up like 10,20,30,40

Step-by-step explanation:

Step-by-step explanation:

open the bracket

6={(1/5×4y) + 1/5×10}

6=4/5y+2

6-2=4/5y

4=4/5y

divide both sides by 4/5

y=1/5

The answer you are looking for is y=5.

Solution/Explanation:

Writing out the problem,

6=1/5(4y+10)

Using the Distributive Property,

6=4/5y+2

Subtracting 2 from both sides of the equation,

6-2=4/5y

4=4/5y

Multiplying both sides by 5, to transform the fraction into a whole number,

20=4y

Finally, dividing both sides by 4,

So, therefore the final answer is y=5.

Answer:

w= -4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

w is -4

Step-by-step explanation:

[tex]4w = 2w - 8[/tex]

make w the subject:

[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]

divide all sides by 2:

[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

Answer:

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1 - 1/2 = 1/2

Step-by-step explanation:

Answer:

a) 3.41%, 0.31, 0.314, 0.3333

Answer:

0,81

Step-by-step explanation:

0.45 x 0.3 x 6

= 0,135 x 6

= 0,81

[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]

Answer:

Step-by-step explanation:

Positive rational numbers will be in the right side of the number line.

Negative rational numbers will be in the right side of the number line.

18.256 will be lying in between 18.25 and 18.26

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

Now, use the following identity:

Last, we get: