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3 years ago

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Mathematics

1 answer:

Kisachek [45]3 years ago

6 0

Answer:

Step-by-step explanation:

A car is rented for $40 per day plus $0.25 per mile driven. The total is $45.50- 40 + 0.25x + 45.50

Karen buys four t-shirts for $45.50. The three red t-shirts each cost 4 times the price of one blue t-shirt.- x + 3(4x) = 45.50

Finn buys a toy boat for $45.50 including tax He was charged 7% sales tax on the original price.- X+0.07% = 45.50

Nick buys a sweater and a jacket for $45.50. The jacket costs 4 times as much as the sweater- 1 X + 4x = 45.50

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A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?

scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

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3 years ago

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round t

Fantom [35]

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

$= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]$

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

4 0

3 years ago

Write one hundred and fourteen thousandths as a decimal number.

Zarrin [17]

Answer:

0.114

Step-by-step explanation:

hope this help :)

8 0

3 years ago

Read 2 more answers

Jeans are on sale for $16 per pair. How much will 4 pairs of jeans cost?

yKpoI14uk [10]

Answer:

4 pairs cost $64

Step-by-step explanation:

16*4=64$

5 0

4 years ago

The largest set of x values satisfying

velikii [3]

Answer:

If $p\ge -\dfrac{1}{3},$ then $x>\dfrac{2}{3}+p$ and $mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p$

Step-by-step explanation:

Solve two inequalities for x.

1. $2,018x-p$

Separate terms with x and without x into two sides:

$2,018x-2,020x$

Multiply by -1:

$2x>-2p\\ \\x>-p$

2. $7x+3p$

Separate terms with x and without x into two sides:

$7x-10x$

Multiply by -1:

$3x>2+3p\\ \\x>\dfrac{2}{3}+p$

Find the largest set of x values satisfying both inequalities:

$x>-p\\ \\x>\dfrac{2}{3}+p$

$-p>\dfrac{2}{3}+p\\ \\-2p>\dfrac{2}{3}\\ \\2p$

then $x>-p$ and $mn=-p=p\cdot (-1),\ m+n=p-1.$ In this case both m and n are negative.

If $p>-\dfrac{1}{3},$ then $x>\dfrac{2}{3}+p$ and $mn=\dfrac{2}{3}+p=\left(\dfrac{2}{3}+p\right)\cdot 1,\ \ m+n=\dfrac{5}{3}+p$

If $p=-\dfrac{1}{3},$ then $x>\dfrac{1}{3}$ and $mn=\dfrac{1}{3}=\dfrac{1}{3}\cdot 1,\ \ m+n=\dfrac{4}{3}$

7 0

3 years ago