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3 years ago

In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, hoW many light colors are there.

Mathematics

2 answers:

Gnom [1K]3 years ago

7 0

The answer is 32 Light colors

Kisachek [45]3 years ago

3 0

Answer:

Step-by-step explanation:

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The star Alpha Centauri is approximately 40653230000000 kilometres from earth,write this number in standard form to 3 significan

almond37 [142]

4.065323 × 10^13
Hope this helps!
Vote me Brainliest!

8 0

3 years ago

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200

vova2212 [387]

Answer:

x = 200

Step-by-step explanation:

Given

$\frac{1}{5}$ x - $\frac{2}{3}$ y = 30 ← substitute y = 15 into the equation

$\frac{1}{5}$ x - $\frac{2}{3}$ × 15 = 30 , that is

$\frac{1}{5}$ x - 10 = 30 ( add 10 to both sides )

$\frac{1}{5}$ x = 40 ( multiply both sides by 5 to clear the fraction )

x = 200

5 0

2 years ago

Select the correct answer from each drop-down menu.

finlep [7]

Answer:

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

Step-by-step explanation:

1) Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are ____

Let the coordinates of B be $(x_2,y_2)$

Coordinates of A = $(x_1,y_1)=(-6,5)$

Coordinates of C=(x,y)=(3.6,-0.4)

We will use section formula over here

$x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}$

m:n=3:2

$3.6=\frac{3x_2+2(-6)}{3+2} , -0.4=\frac{3y_2+2(5)}{3+2}3.6 \times 5 = 3x_2-12, -0.4 \times 5 = 3y_2+10\\18+12=3x_2 , -2=3y_2+10\\30=3x_2 , -12=3y_2\\10=x_2, -4=y_2\\$

Coordinates of B = (10,-4)

2)If point D divides in the ratio 4 : 5, the coordinates of point D are ____

(fraction)

Let the coordinates of D be $(x,y)$

Coordinates of A = $(x_1,y_1)=(-6,5)$

Coordinates of B= $(x_2,y_2)=(10,-4)$

We will use section formula over here

$x=\frac{mx_2+nx_1}{m+n} , y = \frac{my_2+ny_1}{m+n}$

m:n=3:2

$x=\frac{3(10)+2(-6)}{3+2} , y=\frac{3(-4)+2(5)}{3+2}\\x=3.6,y=-0.4$

Coordinates of point B are (10,-4)

Coordinates of point D are (3.6,-0.4)

4 0

2 years ago

Question 1:

Dominik [7]

14+2x=62 (x=Pass cost)
-14 -14
(2x=48)/2
x=24

6.50+5.75+1.15x=18
12.25+1.15x=18
-12.25 -12.25
1.15x=5.75 divide both sides by 1.15
x=5

5 0

2 years ago

!!!please for the love of God help me!!!

Grace [21]

<h3>Given :-</h3>

$\\$

x=y-1
x+2y=8

$\\$

$\\$

Value of x
Value of y

$\\$

<h3>Solution:-</h3>

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

$\\ \\$

Simplifying 1 equation:-

x = y - 1
x +1 = y
y = x + 1

Put this value of y in second equation.

$\\$

$\dashrightarrow \sf \: x+2y=8$

$\\$

$\dashrightarrow \sf \: x+2(x + 1)=8$

$\\$

$\dashrightarrow \sf \: x+2x +2=8$

$\\ \\$

$\dashrightarrow \sf \: 3x +2=8$

$\\ \\$

$\dashrightarrow \sf \: 3x=8 - 2$

$\\ \\$

$\dashrightarrow \sf \: 3x=6$

$\\ \\$

$\dashrightarrow \sf \: x=6 \div 3$

$\\ \\$

$\dashrightarrow \sf \: x= \bf2$

$\\$

to find value of y :-

y = x + 1

y = 2 + 1

y = 3

$\\$

verification:-

$\\$

1 equation:-

x = y - 1

put value of x and y

2 = 3 - 1

2 = 2

LHS = RHS

Hence verified!

$\\$

2 equation:-

$\\$

x+2y=8

put value of x and y

2 + 2 × 3 = 8
2 + 6 = 8
8 = 8

LHS = RHS

Hence verified!

$\\$

Both equation verified!

.°. value of x and y is 2 and 3 respectively

7 0

1 year ago