3 years ago

Tell whether the statement is true or false. If w is 25% of Z, then Z:W is 75:25

1 answer:

7 0

False.
If w is 25% of z, then w:z would be 25:100, because 25 is 25% of 100.
If Z:W was 75:25, it would be wrong because 25 is 33% of 75, not 25%.

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Please help with 6 and 7

Ilya [14]

Answer:

6. The number is $-5$

7. The two numbers are $10$ and $11$

Step-by-step explanation:

Question six can be re-worded to create the following expression:

$-2=\frac{4x+10}{5}$

Solve for x to find the number:

$-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x$

Question seven can be solved by first listing the constraints (assuming x is smaller than y):

x and y are less than 20
$x + 1 = y$
$3x - 8 = 2y$

To get the numbers, we can create a system of linear equations. First, solve for $y$ in each expression:

$y = x+1$

$2y = 3x-8\\y = \frac{3}{2}x - 4$

Solve for $x$ :

$x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x$

Solve for $y$ :

$y = x + 1\\y = 10 + 1\\y= 11$

4 0

2 years ago

Read 2 more answers

1. Simplify .<br>* a) (x - 1)(x2 + x + 1)

tangare [24]

Answer:

x=1

Step-by-step explanation:

7 0

3 years ago

a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons

Brilliant_brown [7]

Answer: 30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

7 0

2 years ago

What is the y- intercept of the line shown?

timofeeve [1]

Y-intercept when x = 0
so
y = 4

8 0

3 years ago

Trey drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?

GarryVolchara [31]

Answer:

10 gallons of gas.

Step-by-step explanation:

250/9 = how many miles 1 gallon of gas will take

250/9 = 27.78

1 gallon of gas = 27.78 miles

275/27.78 = 9.90 gallons

9.90 gallons round up to 10 gallons

Therefore, Trey would need 10 gallons of gas to drive 275 miles.

8 0

3 years ago