27. Write an expression for the perimeter of the figure as the sum of the
lengths of its sides. Then simplify your answer.

The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500

This question would be solved using simultaneous equation

Two equations can be derived from this question

a + b = 5000  equation 1

0.05a + 0.03b = 220   equation 2

where a = amount invested in the bond that bears 5% per month

b = amount invested in the bond that bears 3% per month

Multiply equation 1 by 0.05

0.05a + 0.05b = 250 equation 3

Subtract equation 2 from 3

0.02b = 30

Divide both sides of the equation by 0.02

b = 1500

Substitute for b in equation 1

a + 1500 = 5000

subtract 1500 from both sides of the equation

a = 5000 - 1500 = 3500

Amount invested in the bond that yields 5% is $3500

Amount invested in the bond that yields 3% is $1500

To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults

Answer:

add two tiles per figure until u get to eight.

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

..............

Answer:

(8, -15)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)

Step 1. plug in what we have so far into the midpoint formula

[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]

but remember, the midpoint is (4, -5)

Step 2. solve for point (S)

The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)

[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]

... (hard to explain for the y-coordinate of point (S))

Point S = [tex](8,-15)[/tex]

Answer:

-7 is the second number

Step-by-step explanation:

Step-by-step explanation:

Area of triangle=1/2 × base × altitude

base=7/2 ft

altitude=8/5ft

Subtitute values in formula:

Area=1/2*7/2*8/5 square.ft

Area=56/20 square.ft

Note:if you need to ask any question please let me know.

Answer: y - 4 = 2 (x + 1)

Step-by-step explanation:

There are in four general forms of equations:

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-1, 4)

m = 2

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y - 4 = 2 (x + 1)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9

Step-by-step explanation:

show your work and answer

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

Step-by-step explanation:

Given expression:

Evaluating the value of this expression if y = 8, z = 6, x = 2:

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

Answer:

y²+y-56=0

56=8×7

8-7=1

(y+8)×(y-7)=0

y=7

or

y=-8

so its 7,-8

Answer:

y = -8, 7.

Step-by-step explanation:

y^2 +9y+2=8y+58

y^2 + 9y + 2 - 8y - 58 = 0

y^2 + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7.

Answer:

It is 9

Step-by-step explanation:

[tex]4(y + z)[/tex]

when y is 5, z is 4

substitute:

[tex] = 4(5 + 4) \\ = 36[/tex]

Answer:

y=5 z = 4 - substitution

4 (5 + 4) = 4 (9) = 36

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

Answer:

[tex]4^{9-5}[/tex] = [tex]4^{4}[/tex]

Step-by-step explanation:

Answer:

devide it by 2 three times

Step-by-step explanation:

6288/2=3144

3144/2=1572

1572/2=786

i think that's the easiest way to do it

Answer:

a= 1/6

b=1

c=1/2

a*b*c =  [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  1/6x^2+ 1x+ 0.5

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

[tex] \frac{1}{ \frac{1}{3}x - 2 } + 5 = \frac{a}{x - 6} + 5 \\ \\ \frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } + 5 - 5 \\ \\\frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } \\ \\ a \: (\frac{1}{3}x - 2) = x - 6 \\ \\ a = \frac{x - 6}{\frac{1}{3}x - 2} \\ \\ a = \frac{x - 6}{ \frac{x - 6}{3} } \\ \\ a = (x - 6) \div \frac{x - 6}{3} \\ \\ a = (x - 6) \times ( \frac{3}{x - 6} ) \\ \\ a = 3[/tex]

I hope I helped you^_^

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Distribute the 1/2 on the left side to each term

1/2 * 10x + 1/2 * 4 = 12

Now multiplication first before addition on the left side.

5x + 2 = 12

Subtract 2 on both sides

5x = 10

Divide by 5 on both sides

x = 2

Check work

1/2(10(2) + 4) = 12

1/2(20 + 4) = 12

1/2 * 24 = 12

24/2 = 12 = 12

Answer:

x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

(x - 2y)³(1 - x+ 2y)(1 + x - 2y)

Step-by-step explanation:

Given

(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms

= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

1 - (x - 2y)²

= 1² - (x - 2y)²

= (1 - (x - 2y) )(1 + (x - 2y) )

= (1 - x + 2y)(1 + x - 2y)

Then

(x - 2y)³ - [tex](x-2y)^{5}[/tex]

= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form

Answer:

6m

Step-by-step explanation:

Buried in mud: 3

In and above the water: 6

Total buried in the mud and in/above the water: 3 + 6 = 3 ÷ 6 = 2m

The length of the shortest pole?

Based to the question,

2m + 3m = ...?

= 2m x 3m

= 6 m

The length of the shortest pole is 6m.

Answer:

x = -3

Step-by-step explanation:

5(x-2)+3x-4 = -38

=> 5x-10+3x-4 = -38

=> 5x+3x-10-4 = -38

=> 8x-14 = -38

=> 8x = -38+14

=> 8x = -24

=> x = -24/8

=> x = -3