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4 years ago

The equation of a straight line is 2y = 3x + 4.

Mathematics

1 answer:

saul85 [17]4 years ago

8 0

Answer:

a. 3/2.

b. (0, 2).

Step-by-step explanation:

a. 2y = 3x + 4 Divide through by 2:

y = 3/2 x + 2

Comparing this to the general form y = mx + c where m = the gradient we see that the gradient = 3/2.

b. When the line crosses the y-axis x = 0 so we have the equation:

2y = 3(0) + 4

2y = 4

y = 2.

So the required point is (0, 2).

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PLEASE HELP ASAP!!!<br> solve for the given variable and show your work. 3a-12b=30. solve for b.

olganol [36]

Answer:

b=(-10-a)/4

First factor out the common number:3

Then divide both sides by 3

Then simplify 30/3 to 10

Then subtract a to get your answer

5 0

3 years ago

The math department sold pie slices to buy new math books. Two pies were contributed by members of the department. Each pie was

kenny6666 [7]

The answer is 8, just divide 6 by 48. Hope it helped.

8 0

3 years ago

Read 2 more answers

Can any one give me a fast answer please I need help

icang [17]

Answer:

C = n + 2

Step-by-step explanation:

Well looking at the line on the graph we can see that the y intercept is 2 because the y intercept is the point in the line that touches the y axis.

And the slope is how fat away each points are from each other on a line so we can find the slope by using two points on the line, we can use (1,3) and (2,4).

So we set up the formula like this $\frac{y^2-y^1}{x^2-x^1}$ .

And now we gotta plug in the numbers and solve so the answer is 4-3 = 1 and 2-1 = 1 so the slope is 1.

And we can’t write that as just n.

So the answer is C = n + 2.

For proof look at the image below.

5 0

3 years ago

How can I solve ¾ - (-5/12)?

Oksana_A [137]

Answer:

$1 \frac{1}{6}$

Step-by-step explanation:

$\frac{3}{4}+ \frac{5}{12} =?\\$

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

$(\frac{3}{4}$ × $\frac{3}{3} )$ + $(\frac{5}{12}$ × $\frac{1}{1})=?$

Complete the multiplication and the equation becomes

$\frac{9}{12} + \frac{5}{12}$

The two fractions now have like denominators so you can add the numerators.

$\frac{9+5}{12} = \frac{14}{12}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (−5/12) = $1 \frac{1}{6}$

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (-5/12) = $1 \frac{1}{6}$

8 0

1 year ago

A batch of snack mix made of dried fruit and nuts contain 744G of nuts the ratio of nuts to dried fruit by weight is 12 to 13 ho

Bezzdna [24]

In a bag of snack mix:

n = nuts d = dried fruit

n = 744g d = ???g

Ratio Nuts/Dried fruit = 12/13

This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits

If 744 is 12 parts then 744/12 is 1 part

744/12 = 62

1 part = 62g

there are 13 parts of dried fruit

13 x 62 = 806

744g of nuts + 806g of dreid fruit = 1550g

Answer: A batch of snack mix weigh 1550g, or 1.55kg

hope it helps :)

6 0

3 years ago