The sum of twice a number and 5 is at most 15. What are 3 possible<br> values for the number?

55% of what number is 70? Round to the nearest tenth.

umka2103 [35]

55% of x is 70
0.55 times x=70
divide both sides by 0.55
127.27272727
round
127.3

5 0

3 years ago

What is the solution to the system of equations? One-fourth x minus one-half y = 8 One-half x + three-fourths y = negative 5 (–8

kiruha [24]

Answer:

Step-by-step explanation:

x/4-y/2=8, x-2y=32, x=32+2y

x/2+3y/4=-5, 2x+3y=-20, x=(-20-3y)/2

32+2y=(-20-3y)/2

64+4y=-20-3y

7y=-84

y=-12, since x=32+2y

x=32+2(-12), x=32-24=8

So the solution is the point (8, -12)

3 0

3 years ago

Read 2 more answers

If log3⁡⁡(4y−1)=log3⁡⁡(2y+7), what is the value of y?

Slav-nsk [51]

Knowing that there are two logs on both sides of the brackets, they cancel out.
This leaves:

4y-1=2y+7 (solve for y)
4y-2y=7-1
2y=6
y=3

Hope this helped :)

5 0

3 years ago

Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin

ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

Same slopes
Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + $\frac{5}{2}$ x

∴ y = $\frac{5}{2}$ x - 5

- The value of m is the coefficient of x

∴ m = $\frac{5}{2}$

∴ The slope of the given line is $\frac{5}{2}$

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = $\frac{5}{2}$

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = $\frac{5}{2}$ (3) + b

∴ -5 = $\frac{15}{2}$ + b

- Subtract $\frac{15}{2}$ from both sides

∴ b = $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x - $\frac{25}{2}$

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0

3 years ago

Mia is making costumes for a play. Each costume needs 3 7/9 yards of fabric. If Mia is making 6 costumes, how much fabric does s

mihalych1998 [28]

If she is making 6 costumes that need 3 7/9 yards each, the equation would be 6 x 3 7/9.

The answer to that equation would be 22 2/3.

How to get the answer:
3 x 6 = 18
7 x 6 = 42 (the seven is from the 7/9)
42/9 = 4 2/3

then add the eight teen and the 4 2/3 and you get 22 2/3.

3 0

3 years ago

The sum of twice a number and 5 is at most 15. What are 3 possible values for the number?