All categories

3 years ago

Im really bad at this haha

Mathematics

2 answers:

expeople1 [14]3 years ago

5 0

The correct answer is B

algol [13]3 years ago

5 0

B is the correct answer.

You might be interested in

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

The first car consumes <u>20 gallons of fuel</u>.

The second car consumes <u>30 gallons of fuel</u>.

Reasons:

Fuel efficiency of the first car = 15 miles per gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

15·x + 35·y = 1,350...(1)

x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

The number of gallons consumed by the first car, x = <u>20 gallons</u>

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

The number of gallons consumed by the second car, y = <u>30 gallons</u>

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0

2 years ago

Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)

Evgen [1.6K]

Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

y = $-\frac{2}{3}$ x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

the equation of a line is given as;

y = mx + c

where x and y are the coordinate

m is the slope

c is the intercept

To solve this problem,

The slope $-\frac{2}{3}$ if the same as that of the new line since they are parallel;

Equation of the new line;

x = 4 and y = -5

-5 = $-\frac{2}{3}$ x 4 + c

-5 = $-\frac{8}{3}$ + c

c = -5 + $\frac{8}{3}$

c = $-\frac{7}{3}$

So, the equation of the line is;

y = $-\frac{2}{3}$ x - $\frac{7}{3}$

or ;

3y = -2x -7

7 0

3 years ago

Solution to equation ?<br> 5/6 X = -1/6<br><br><br> A. -1/5<br> B. 1/5<br> C. -5<br> D. 5

dezoksy [38]

(5/6) x = -1/6 (multiply times 6/5)

x = -1/5

7 0

3 years ago

Read 2 more answers

Anybody need help with some work?

otez555 [7]

Answer:

nope. im done with school :D

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Consider the following pair of points.

dedylja [7]

Answer:

The answer is

<h2> $\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,-8) and (-7,-5)

The distance between them is

$d = \sqrt{ ({9 + 7})^{2} + ({ - 8 + 5})^{2} } \\ = \sqrt{ {16}^{2} + ( { - 3})^{2} } \\ = \sqrt{256 + 9} \: \: \: \: \: \: \: \: \: \\ = \sqrt{265} \: \: \: \: \: \: \\ = 16.27882$

We have the final answer as

$\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units$

Hope this helps you

4 0

3 years ago