All categories

3 years ago

Identify the y-intercept of the linear equation 3x+2y-18=0

Mathematics

1 answer:

Alborosie3 years ago

6 0

Answer:

3x + 2y = 18

3x = 18

x = 6

(6,0): x-intercept

2y = 18

y = 9

(0,9)

answer is a

You might be interested in

Please answer it in two minutes

ch4aika [34]

Answer:

67 in

Step-by-step explanation:

Because these are congruent figures, you know that the last remaining segment is 67in

3 0

3 years ago

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

What is the volume ?

slavikrds [6]

Answer:

I think the answer is 381.7

3 0

3 years ago

Read 2 more answers

A computer repairs service charges $50 for diagnosis and $per hour for repairs. Write a linear function that models this situati

saw5 [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

Work out the area of a circle with radius of 7.5cm

lidiya [134]

Answer:

Area of circle is equal A = πr²

Here r = 7.5 and π = 3.142

so,

A = 3.142(7.5)²

A = 176.17 after rounding off.

3 0

2 years ago