Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

QUESTION POSTED AT 18/01/2020 - 06:51 AM

Answered by admin AT 18/01/2020 - 06:51 AM

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

Explanation:
The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:
6x+8(0)=48
6x=48.

Divide both sides by 6:
6x/6=48/6
x=8.
We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48
0+8y=48
8y=48.

Divide both sides by 8:
8y/8 = 48/8
y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.
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Related questions

5. What is an equation for the line with slope and y-intercept 9? (1 point) y = x y = 9x y = x + 9 y = 9x +  6. What is an equation in slope-intercept form for the line that passes through the points (1, –3) and (3, 1)? (1 point) y = 3x + 1 y = x – 3 y = 2x + 5 y = 2x – 5

6.) y - (-3) = (1 - (-3))/(3 - 1) (x - 1)
y + 3 = (1 + 3)/2 (x - 1)
y + 3 = 4/2 (x - 1)
y + 3 = 2(x - 1) = 2x - 2
y = 2x - 2 - 3 = 2x - 5
y = 2x - 5

ANSWERED AT 16/02/2020 - 07:04 PM


QUESTION POSTED AT 16/02/2020 - 07:04 PM

Bill's Furrier marks up mink coats $3,000. This represents a 50% markup on cost. What is the cost of the coats? ...?

The correct answer is $6000.00

ANSWERED AT 16/02/2020 - 06:42 PM


QUESTION POSTED AT 16/02/2020 - 06:42 PM

W hich of the following are you not likely to see on a graph? dependent variable, units, independent variable, prediction ...?

Answer: Fourth option is correct.

Step-by-step explanation:

On graph, we can display dependent variables, units, independent variables , because they can be expressed in numbers easily.

Whereas prediction is not competent every time to get expressed with numerical terms.

Hence, prediction is not likely to see on the graph.

Thus, Fourth option is correct.

ANSWERED AT 16/02/2020 - 06:40 PM


QUESTION POSTED AT 16/02/2020 - 06:40 PM

Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.

The solution to the problem is as follows:


For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain. ...?

Answer: No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

Step-by-step explanation:

Two lines are called perpendicular to each other if the product of their slope is -1.

Since, the slope of a line having end points (x_1,y_1) and (x_2,y_2) is,

m=\frac{y_2-y_1}{x_2-x_1}

Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12),

m_1=\frac{-12+10}{-5+8}=\frac{-2}{3}=-\frac{2}{3}

While, The slope of line Joining points R(9, –6) and S(17, –5),

m_2=\frac{-5+6}{17-9}=\frac{1}{8}

Since,

m_1\times m_2=-\frac{2}{3}\times \frac{1}{8}=-\frac{1}{12}\neq -1

Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

One hundred times the quantity two plus seven

900 is One hundred times the quantity two plus seven

ANSWERED AT 16/02/2020 - 06:34 PM


QUESTION POSTED AT 16/02/2020 - 06:34 PM

A rectangular table is two times as long as it is wide. If the area is 50ft^2, find the length and the width of the table.

10ftx5ft .........................................................................................................................................................................................................................................................................................

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

How to divide 8775÷45 And show your work

195

45 x 1= 45
45 x 9= 405
45 x 5= 225

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3.

2/3 is not equivalent to 1/3
2/6 is equivalent to 1/3

ANSWERED AT 16/02/2020 - 06:31 PM


QUESTION POSTED AT 16/02/2020 - 06:31 PM

Matthew practices his violin for 25th minutes a day.he started at 3:15.what time will it be when Matthew stops practicingA. 3:30B. 3:40C. 3:50D. 4:50


B. 3:40
You would have to add 25 minutes to 3:15 to get 3:40

ANSWERED AT 16/02/2020 - 06:21 PM


QUESTION POSTED AT 16/02/2020 - 06:21 PM

Which operation should you perform first when you simplify 175 - (8 + 45 / 3) * 7? A. Addition B. Division C. Multiplication D. Subtraction PLEASE ANSWER THIS IM IN A HURRY

Answer:

B. Division

Step-by-step explanation:

We have been given an expression 175-(8+\frac{45}{3})*7. We are asked to determine which operation will we use first to simplify our given expression.

Using order of operations PEMDAS, we will remove parenthesis first. To remove parenthesis, we need to simplify \frac{45}{3}.

Therefore, we will use division first to simplify our given expression.

ANSWERED AT 16/02/2020 - 06:17 PM


QUESTION POSTED AT 16/02/2020 - 06:17 PM

Lottie needs a driver. Drive A is offering his services for an initial $200 in addition to $80 per hour. Driver B is offering this service for an intal $230 and an addition of $70 per hour When will the two drivers charge the same amount

200 + 80h = 230 + 70h
80h - 70h = 230 - 200
10h = 30
h = 30/10
h = 3...they will charge the same rate at 3 hrs

ANSWERED AT 16/02/2020 - 06:02 PM


QUESTION POSTED AT 16/02/2020 - 06:02 PM

A candy company used 8 gallons of syrup to make 4 batches of candy. what is the rate of syrup per batch.

8 gallons syrup to 4 batches of candy....8/4 = 2 gallons of syrup to 1 batch of candy...so ur ratio is : 2/1 or 2:1 or 2 to 1

ANSWERED AT 16/02/2020 - 05:48 PM


QUESTION POSTED AT 16/02/2020 - 05:48 PM

Factor completely 3x2 + 9x – 54. ...?

3x² + 9x - 54 :(3)
x² + 3x - 18
(x-3)*(x+6)

ANSWERED AT 16/02/2020 - 05:43 PM


QUESTION POSTED AT 16/02/2020 - 05:43 PM

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...?

Answer:

\sqrt{29} , \sqrt{20} , \sqrt{17}

Step-by-step explanation:

Consider ΔABC with vertices A\left ( 0,0 \right )\,,\,B\left ( 6,0 \right )\,,\,C\left ( 4,4 \right ) such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is equal to \left ( \frac{x_1+x_2}{2}\,,\,\frac{y_1+y_2}{2} \right )

Midpoints P , Q , R :

P\left ( \frac{6+4}{2}\,,\,\frac{0+4}{2} \right )=P\left ( 5\,,\,2 \right )\\Q\left ( \frac{0+4}{2}\,,\,\frac{0+4}{2} \right )=Q\left ( 2\,,\,2 \right )\\R\left ( \frac{6+0}{2}\,,\,\frac{0+0}{2} \right )=R\left ( 3\,,\,0 \right )

We know that distance between points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

Length of AP :

AP = \sqrt{\left ( 5-0 \right )^2+\left ( 2-0\right )^2}=\sqrt{25+4}=\sqrt{29}

Length of BQ :

BQ = \sqrt{\left (2-6 \right )^2+\left ( 2-0 \right )^2}=\sqrt{16+4}=\sqrt{20}

Length of CR :

\sqrt{\left (3-4\right )^2+\left ( 0-4 \right )^2}=\sqrt{1+16}=\sqrt{17}

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

Compute the following linear combinations. 4(-2,3)-2(6,-7) ...?

Answer:

Step-by-step explanation:

alright lets get started.

the linear combination is given by :

4(-2,3)-2(6,-7)

foiling 4 and 2 into the parenthesis

(4*-2, 4*3)+(-2*6,-2*-7)

(-8, 12)+(-12,14)

Combinig x and y terms together

(-8-12, 12+14)

(-20,26)    :     answer

Hope it will help. :)

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

name the property used in each equation. then find the value of n. 2.) 1·n=8 3.) 28·n=0 4.) 0+n=22 5.) 1/4·n=1

2. n = 8 (Identity property)
3. n = 0 (Zero Property)
4. n = 22 (Additive Identity Property)
5. n = 4 (Fractal property)

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals $120.50. what is mary's hourly pay? a. $8.50 b. $9.27 c. $5.24 d. $8.05

She worked 4+3+6 hours = 13 hoursso 13x+10 = 120.50
13x=110.50
x=8.5
so she makes $8.50 an hour which is A.

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

When working with the square root of a number, when would you have only a positive answer and when would you have both a positive and negative answer?

Lets make it clear: You would have a positive answer when the value you are looking for has to be a positive number. On the other hand you would have a positive and a negative answer when you take the square root of something that doesn't have to be positive. it could be either because when a negative number is squared it becomes positive and when a positive number is squared it stays positive as well.

ANSWERED AT 16/02/2020 - 05:24 PM


QUESTION POSTED AT 16/02/2020 - 05:24 PM

Find Dxy using the rules for finding derivatives. =(5x^2−8)(9x^2−3x+5)

You can do foil method first, to make it easier and to avoid product rule,
y= 45x^4 - 15x³ + 25x² - 72x² + 24x - 40
Simplify like terms,
y= 45x^4 - 15x³ - 47x² + 24x - 40
Now, find derivative,
dy/dx  = 180x³ - 45x² - 94x + 24 

ANSWERED AT 16/02/2020 - 05:13 PM


QUESTION POSTED AT 16/02/2020 - 05:13 PM

Write 6 2/3 as a improper fraction

6 2/3

1. Multiply the denominator to the whole number
2. Put the 3 on the bottom to get 20/3!

Hope i helped :] 

ANSWERED AT 16/02/2020 - 05:03 PM


QUESTION POSTED AT 16/02/2020 - 05:03 PM

Eight times a number is the same as thirty five more than three times a number

Times - multiply     same as - =     more than - subtract
8x=35+3x

ANSWERED AT 16/02/2020 - 04:57 PM


QUESTION POSTED AT 16/02/2020 - 04:57 PM

Simplify the given expression below: (3 + 4i) + (5 − 2i) −2 + 6i 2 − 2i 7 + 3i 8 + 2i

8 + 2i simplified is 2(4+i).

ANSWERED AT 16/02/2020 - 04:40 PM


QUESTION POSTED AT 16/02/2020 - 04:40 PM

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.) f'(0) f'(1) f'(2) f'(3) f'(4) f'(5)

F'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0

ANSWERED AT 16/02/2020 - 04:35 PM


QUESTION POSTED AT 16/02/2020 - 04:35 PM

Work out the equation of this graph (picture included)

First, you have to identify what the graph is: a parabola, a circle, an ellipses, etc. it's a parabola.

to be totally honest, i don't know what the (1, 0) point is for. i thought it was meant to be the vertex, but it doesn't make sense? you find the vertex by calculating the midpoint, if nothing else, and the midpoint here is 0.5 ?? but i chose to disregard it and assume it to be a misprint

the graph gives you the x-intercepts, which are your "zeroes" -- this means that you can format them like so:

y = (x + 3)(x - 4)

this will give you your equation. you just have to list the zeroes as factors, then foil them to get a ax² + bx + c formula:

y = x² - x - 12

however, we generally prefer parabolas to be in vertex form. you can get it there by completing the square:

y = x² - x - 12
move the 12 so that it's with the y
y + 12 = x² - x

now you have to complete the square. this is done by taking your "middle" term on the right side, dividing it by 2, and squaring it:

(-1)/2 = -0.5
(-0.5)^2 = 0.25 or (1/4)

i'm going to write it as a decimal because it's easier to follow. when completing the square, whatever you add to one side, you must add to the other, so:

y + 12 + (0.25) = x² - x + (0.25)
then change the right side of the equation into a squared binomial
y + 12.25 = (x - 0.5)²
subtract 12.25 from each side
y = (x - 0.5)² - 12.25

y = (x - 0.5)² - 12.25 is your formula. 

ANSWERED AT 16/02/2020 - 04:26 PM


QUESTION POSTED AT 16/02/2020 - 04:26 PM

If anyone can check my work for me that would be greatly appreciated I'm having trouble. Evaluate the expression foe the given value of the variable. |-4b-8|+|-1-b^2|+2b^3 ; b=-2 I got 1 for my answer -4(-2)-8-1+2^2+2(-2) 8-8-1+2^2-4 -1+2^2-4 1

The answer is -13. Solution: = |-4b - 8| + |-1 - b^2| + 2b^3 = |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3 = |8-8| + |-1+4| + 2(-8) = |0| + |3| + (-16) = -13

ANSWERED AT 16/02/2020 - 04:17 PM


QUESTION POSTED AT 16/02/2020 - 04:17 PM

Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas? A) 2:5 B) 4:25 C) 4:10 D) 8:125

H 1 : H 2 = 4 : 10
H 1 = 2/5 H 2
and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2
 A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1
A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2
A 1 / A 2 = 4/25 *( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2 ) /
                 / ( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H  2 ) =
= 4/5
A 1 : A 2 = 4 : 25
Answer:  B ) 4 : 25

ANSWERED AT 16/02/2020 - 04:08 PM


QUESTION POSTED AT 16/02/2020 - 04:08 PM