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3 years ago

Find the GCF 40,50,60

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

Answer:

Step-by-step explanation:

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solve for each variable i don’t need work shown just the answers please thank you very much i have 2 hours to get this done

ale4655 [162]

Answer:

$(a)$

$x = 18.5$

$y = 22.5$

$(b)$

$x = 10$

Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

$7x - 19 + 3x +14 = 180$

Collect like terms

$7x + 3x = 180 - 14 + 19$

$10x = 185$

$x = 18.5$

7x - 19 and 5y - 2 are equal angles --- corresponding angles

So:

$5y - 2 = 7x - 19$

Make 5y the subject

$5y = 7x - 19+2$

5y = 7x -17

Make y the subject

$y = \frac{1}{5} (7x - 17)$

Substitute $x = 18.5$

$y = \frac{1}{5} (7*18.5 - 17)$

$y = \frac{1}{5} (112.5)$

$y = 22.5$

Solving (b):

The triangle is right-angled.

So:

$5x + 3 + 2x + 17 + 90 = 180$

Collect Like Terms

$5x + 2x = 180 - 90 - 17-3$

$7x = 70$

$x = 10$

3 0

3 years ago

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at

antiseptic1488 [7]

Answer:

W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90

3 0

3 years ago

Consider the equation a(4−x)=−3x+b. What values of a and b make the solution of the equation x=−5?

erica [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

In 2010, the population of a city was 224,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. H

Sophie [7]

Answer:

people 2010:

224,000

people in 2015:

224,000(1+0.06) =237,440

people in 2020

237440(1-0.04) =227,942

6 0

3 years ago

Write the equation of the line through the given points : <br> I need help please

Diano4ka-milaya [45]

Answer:

$y=-3x+5$

Step-by-step explanation:

The equation for slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

We can substitute the given coordinates into the equation:

$Slope=\frac{3-0}{\frac{2}{3}-\frac{5}{3}}=\frac{3}{\frac{2-5}{3}}=\frac{3}{\frac{-3}{3}}=\frac{3}{-1}=-3$

The slope is -3

The equation for a line is:

$y=mx+b$

m: slope

b: y-intercept

x, y: (x, y) coordinate pair

Now, plug in the slope and one of the (x, y) coordinate pairs to solve for the y-intercept.

$y=mx+b\\y=-3x+b\\0=-3(\frac{5}{3})+b\\0=\frac{-15}{3}+b\\0=-5+b\\$Add 5 to both sides\\b=5$

Therefore the equation is:

$y=-3x+5$

6 0

2 years ago