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3 years ago

will give brainliest! if the slope of the line through the points (a,14) and (8,a) is 1/2, what is the value of a?

Mathematics

1 answer:

castortr0y [4]3 years ago

6 0

Answer:

a = 12

Step-by-step explanation:

Formula for calculating the slope of a line is expressed as;

m = ∆y/∆x

m = y2-y1/x2-x1

Given

m = 1/2

x1 = a

y1 = 14

x2 = 8

y2 = a

Required.

Value of a

Substitute the given parameters into the formula

1/2 = a-14/8-a

Cross multiply

1(8-a) = 2(a-14)

8-a = 2a-28

Collect like terms

-a-2a = -28-8

-3a = -36

a = -36/-3

a = 12

Hence the value of a is 12

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Caitlin has 4 and 3/4 lb of place use 1 1/10 pound to make a cup and another 2 pounds to make a jar how many pounds are left

g100num [7]

We know that
4 3/4---------> (4*4+3)/4----------> 19/4
1 1/10-----------> (10*1+1)/10----> 11/10

[pounds left]=[(19/4)-(11/10)-(2)]----> (10*19-4*11-40*2)/40
=(190-44-80)/40-------> 66/40---------> 1.65 pounds
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the answer is 1.65 pounds (1 13/20 pounds)

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3 years ago

How can you estimate 1,506÷2 so that it is close to the actual answer of 753?

Makovka662 [10]

You would round 1506 to 1500 and and do not round 2. So then you woulddo 1500 divided by 2 to get 750!

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3 years ago

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Jack and Jill live 126 km apart. They want to leave their homes at the same time,

Digiron [165]

Answer:

Both will leave their homes to meet on time at 9 am

Step-by-step explanation:

Given as, Distance between Jack and Jill = 126 km

Speed of Jack rides = 18 kilometers per hours

Speed of Jill rides = 24 kilometers per hours

Let the distance travel by Jack = x km

And the distance travel by Jill = (126 - x ) km

Time taken by Jack and Jill = T hours

Now , Distance = Speed × Time

So, x = 18 × T

And 126 - x = 24 × T

Or, 126 - x = 24 × $\frac{x}{18}$

Or, 126 - x = x × $\frac{4}{3}$

Or, 378 - 3x = 4x

Or, 378 = 7x

i.e x = $\frac{378}{7}$ = 54 km

And distance travel by Jill = 126 - 54 = 72 km

So, time taken by Jack = $\frac{x}{18}$ = $\frac{54}{18}$

Or, Time taken by Jack = 3 hours

Similarly Time take by Jill = $\frac{72}{24}$ = 3 hours

∵ Both Jack and Jill will take 3 hours to meet at 12 : 00 pm

Hence, Both will leave their homes to meet on time at 9 am Answer

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4 years ago

A scientist raised $32,506 for his project. He later found out that he would need $57,500 to completely pay for it. How much mor

hammer [34]

We need to subtract: the scientist needed 57,500 dollars, but already had 32,506, so we need to find what's left: 57,500 - 32,506 = 24,992 dollars

Your answer is A. Hope that helps! :)

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3 years ago

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Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef fo

olasank [31]

You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C

Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)

Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9

Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9

Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95

Divide each side with -5.
C = $0.79

Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58 -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H

Finished!

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3 years ago

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