When graphing an equation in slope-intercept form, what is the first step.

Answer:

b = 2a + c

Step-by-step explanation:

Given

a = [tex]\frac{1}{2}[/tex] (b - c)

Multiply both sides by 2 to clear the fraction

2a = b - c ( add c to both sides )

2a + c = b

Answer:

4 7/8

Step-by-step explanation:

Total pound=8

Total used=3 1/8

Leftover=?

8-3 1/8

=8-25/8

L.C.M of 8 and 25/8 is 8

=.64-25 /8

=39/8

=4 7/8

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

Answer:

i tried so i hope this helps you

Answer:

Keith; -5, -12

Step-by-step explanation:

Logic ( Subtract 12 from both sides, then factor it out)

Answer:5500

Step-by-step explanation:

Answer:

I think the correct answer is 27 so option c. :)

Answer:

Step-by-step explanation:

Given that ;

Carlos needs 1.7 meters of wire for one project    &

0.8 meters of wire for another project

we are to shade the model to represent the total amount of wire Carlos needs .

NOW;

For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire =  2.5 meters of wire

In  the  attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.

To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”

So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.

Remember, a negative divided by a negative is a positive.

Answer:

36

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

63-32=31

Answer:

1. $0.99

2. $1.98

Step-by-step explanation:

1. From the question we have

Cost of box = $2.48

Selling price = $1.49

That is the box is discounted from $2.48 to $1.49

Therefore, amount saved = $2.48 - $1.49 = $0.99

2. The amount saved from buying a second box is hence;

2 × $0.99 = $1.98

Hence, as the number of boxes bought increases, the amount saved increases

Answer:

The answers to both questions are

1. You save $0.99 on the box when it is purchased on sale

This is calculated by subtracting on-sale price from pre-sale price:

$2.48-$1.49 = $0.99

2. Total amount saved when a second box is purchased on-sale price is derived by multiplying the amount saved on-sale purchase by two:

$0.99 x 2 (boxes)

$0.99 x 2 = $1.98

Cheers!

Answer:

64

Step-by-step explanation:

To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).

Answer:

The number is 64

Step-by-step explanation:

Let the number be x

3/8 of x = 24

x = 24 ÷ (3/8)

[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]

x = 64

Answer:

22/28 = 11/14

Step-by-step explanation:

no of socks other than blue = 22

total no of socks = 28

so probability= 22/28 = 11/14

Answer:

22

Step-by-step explanation:

8 black 6 blue and 14 white is equal to 28

and if 6 are blue the rest are not so 6-28=22

Answer:c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Firstly, to answer this question, we need to calculate the change in elevation.

Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.

To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.

Mathematically that would be 4,418 - 2,550 = 1,868 meters

Now our answer need be in foot. we have a conversion system given in the question already.

1 foot = 0.3048 meters

x foot = 1,868 meters

x = 1,868/0.3048

x = 6,128.6 feet which is approximately 6,129 feet

Answer:

1/8

Step-by-step explanation:

Answer:

1/7

Step-by-step explanation:

divide 6/42

We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.

We will use law of sines to solve for side r.

[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.

Let us find measure of angle S using angle sum property of triangles.

[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]

[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}=180^{\circ}[/tex]

[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]

[tex]\angle R=29^{\circ}[/tex]

[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]

[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]

[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]

[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]

[tex]r=53.7604351[/tex]

Upon rounding to nearest tenth, we will get:

[tex]r\approx 53.8[/tex]

Therefore, the length of r is approximately 53.8 inches.

Answer:

x=-1,x=-8  can't factor it

Step-by-step explanation:

Step-by-step explanation:

x = -1 , x = -8

Hope its help u

Answer:

920 ft^2

Step-by-step explanation:

area of triangles: base x height / 2 (2)

8 x 15 / 2

= 60 x 2

= 120

area of rectangular base: length x width

15 x 20 = 300

area of sloped rectangle: length x width

17 x 20 = 340

area of rectangle: length x width

8 x 20 = 160

Total: 120 + 300 + 340 + 160

=920 ft^2

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920

Answer:

8

Step-by-step explanation:

Vanillas percentage is 26%

26% of 50 is 13

Chocolates percentage is 42%

42% of 50 is 21

21-13=8

Using proportions, it is found that 8 more of Ursula’s classmates chose chocolate than chose vanilla.

In total, there are 50 students.

[tex]0.42(50) = 21[/tex]

That is, 21 choose chocolate.

The sum is 100%, hence the percentage that choose vanilla is:

[tex]x + 14 + 18 + 42 = 100[/tex]

[tex]x = 100 - 74[/tex]

[tex]x = 26[/tex]

26%, out of 50, hence:

[tex]0.26(50) = 13[/tex]

13 choose vanilla.

21 - 13 = 8.

8 more of Ursula’s classmates chose chocolate than chose vanilla.

To learn more about proportions, you can check https://brainly.com/question/24372153

Answer:

the answer is 3:5

Step-by-step explanation:

Total number of jobs for the interview = 15

number of job offers received by Gabby = 6

number of jobs not offered = 15 - 6 = 9

therefore, the relationship will be 9:15

                                                           3:5

Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

Answer:

16.06 ft

Step-by-step explanation:

The figure is attached below.

In triangle ACB:

[tex]tan(41)=\frac{x}{y} \\x=ytan(41)[/tex]

In triangle ADB:

[tex]tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x[/tex]

Therefore equating both equations gives:

[tex]ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft[/tex]

Therefore x = 11.5715*tan(41) = 10.06 ft

The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

Answer: ph+2b

Step-by-step explanation:

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920