If x and y vary directly and x= 60 when y=5, what is the value of y when x=36?

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the

son4ous [18]

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

8 0

3 years ago

1. Segment AB has the coordinates given.

denpristay [2]

The first image has a coordinate of A'(1, 6) B'(-3, 7)

<h3>How to calculate the coordinates of an image after a translation?</h3>

Translation can be defined as movement in a straight line.

Given the rule: (x,y) → (x + 3, y - 1) and A(-2,7) B(-6,8)

That means: A(x = -2, y =7) B(x = -6, y = 8)

Thus the translation will be:

A'(-2 +3, 7-1) B'(-6+3, 8-1) = A'(1, 6) B'(-3, 7)

Therefore, the coordinate of the image is A'(1, 6) B'(-3, 7)

Learn more about translation on:

brainly.com/question/10451235

#SPJ1

8 0

1 year ago

Simplify: −z^3+5k^6−(−z^3+10k^6)

Georgia [21]

-z³ + 5k^6 + z³ -10k^6

(-z³ cancels out with z³)

5k^6 -10k^6

(then subtract)

Answer is -5k^6

6 0

3 years ago

12x - 5 = 8x - x + 50<br> Help please show work and check the solution

Inga [223]

Answer:

x = 11

Step-by-step explanation:

$12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50 \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11$

and check:

$12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127$

3 0

3 years ago

Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

A.

$\frac{5}{6}$ and $\frac{10}{12}$

D.

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

A.

$\frac{5}{6}$ and $\frac{10}{12}$

D.

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago