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3 years ago

Solve this equation, and show step by step: y=-5/2x-5

1 answer:

7 0

Let's solve for x.y=−52x−5Step 1: Flip the equation.−52x−5=yStep 2: Add 5 to both sides.−52x−5+5=y+5−52x=y+5Step 3: Divide both sides by (-5)/2.−52x−52=y+5−52x=−2y−105Answer:x=−2y−105

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Harry and Selma start driving from the same location. Harry drives 42 miles north while Selma drives 144 miles east. How far apa

weqwewe [10]

186 Miles. Just add 144+42=186 Miles.

7 0

3 years ago

Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next clu

REY [17]

Answer:

Both will be at the same page after 6.5 days and the page number will be 180.

Step-by-step explanation:

Let after x days Nora and Lila will be at the same page.

Nora is on page 128 and plans to read 8 pages per day until the next club meeting.

After x days Nora will be at the page number = 128 + 8x

Similarly, Lila is on page 102 and she reads 12 pages per day.

After x days Lila will be on page number = 102 + 12x

Since after x days they will be at the same page

Therefore, 128 + 8x = 102 + 12x

12x - 8x = 128 - 102

4x = 26

x = $\frac{26}{4}$

x = 6.5 days

Page number they will be on = 128 + 8(6.5)

= 128 + 52

= 180

Both will be at the same page after 6.5 days and the page number will be 180.

3 0

3 years ago

Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%

tester [92]

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

P is the initial amount of money
r is the interest rate in decimal
t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

∵ The value is in the bond for 3 years

∴ t = 3

∵ The simple interest rate is r

∵ I = P r t

- Substitute the values of P and t in the rule

∴ I = (350)(r)(3) = 1050 r

∴ The interest of Bond 2 is 1050 r

∵ The both bonds yield the same interest to maturity

- Equate the interests of bonds 1 and 2

∵ 1050 r = 62.5

- Divide both sides by 1050

∴ r = 0.0595

- Multiply it by 100% to change it to percentage

∵ r = 0.0595 × 100% = 5.95%

∴ r = 5.95%

The value of r is 5.95%

Learn more:

You can learn more about interest in brainly.com/question/11149751

#LearnwithBrainly

3 0

3 years ago

A pipe is leaking at 1.5 cups per day. about how many gallons per week is the pipe leaking

Alenkinab [10]

Remember that there are 16 cups in a gallon.

The pipe leaks 1.5 cups each day, so in one week, or 7 days, the cup leaks 1.5 times 7 cups, which equates to 10.5 cups per week.
To find this number in gallons, divide 10.5 by 16.
This equals .65625 gallons per week.
Hope this helps!
~Chrys

8 0

3 years ago

Round 8 5/9 to the nearest whole number. 9 10 7 8

Lyrx [107]

Answer:

The answer would be 9,

Step-by-step explanation:

because it is closer to 9 than 8.

5 0

3 years ago