Use an equation to find the value of k so that the line that passes through the given points has the given slope.

(−4,k), (6,−7); m=−15

a = 18

d = 16 - 18 = - 2

an = a + (n - 1) × d

an = 18 + (n - 1) × (-2)

an = 18 - 2n + 2

an = -2n + 20

Proportional relationships are used to represent direct variation

The number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]

Let b represents brownies and c represents calories.

So, the relationship is given as:

b : c = 3 : 50

Express as fractions

[tex]\mathbf{\frac bc = \frac{3}{50}}[/tex]

Multiply both sides by c

[tex]\mathbf{b = \frac{3}{50}c}[/tex]

When the number of brownies is 14, we have:

[tex]\mathbf{14 = \frac{3}{50}c}[/tex]

Multiply both sides by 50/3

[tex]\mathbf{14 \times \frac{50}{3} = c}[/tex]

[tex]\mathbf{233 = c}[/tex]

Rewrite as:

[tex]\mathbf{c = 233 }[/tex]

Make c the subject in [tex]\mathbf{b = \frac{3}{50}c}[/tex]

[tex]\mathbf{c = \frac{50b}{3}}[/tex]

Hence, the number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]

Read more about proportional relationships at:

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Answer:

61

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Answer: the test doesn't explain the order it was taken or dates. So it can be misleading

Step-by-step explanation:

Answer:

Trial and error

Step-by-step explanation:

It can help you by testing mulitple solutions to decleare which one is best.

Answer:

(x, y)

(-1, -4)

Step-by-step explanation:

[tex]-20x=-16-9y\\-14x=-22-9y[/tex]

Solve by elimination, subtract the 2nd row from the 1st row:

[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]

Solve for x in the equation above

[tex]-6x=6\\x=-1[/tex]

Now we have the value of X, substitute it into any of the 2 original equations:

[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]

Solve for y:

[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]

Please mark brainliest if this answer helps you. I can provide more information if needed.

Answer:

x = -4.

y = 0.

Step-by-step explanation:

Each element is multiplied by -2, so

-2 * x = 8

x = -4.

-2*y = 0

y = 0.

Answer:

1/2

Step-by-step explanation:

there is a 50 50 chance that somebody is male or female

Answer:

64 hours

Step-by-step explanation:

(3\8) times 64 (hours) equals 24 (tons of dirt)

let's recal the pythagorean theorem, where c² = a² + b², namely, the largest number squared is equal to the sum of the two smaller ones squared.

well, we can just start by say in A, looking the smaller sides, 3 and √9, if we squared both and add them up, do they give the largest one of √18?

[tex]\boxed{A} \\\\ 3^2+(\sqrt{9})^2 = (\sqrt{18})^2\implies 9+9 =18\qquad \textit{\Large\checkmark} \\\\\\ \boxed{B}\\\\ 3^2+4^2=5^2\implies 9+16=25\implies 25=25\qquad \textit{\Large\checkmark} \\\\\\ \boxed{C}\\\\ 7^2+7^2=(\sqrt{98})^2\implies 49+49=98\implies 98=98\qquad \textit{\Large\checkmark}[/tex]

so they all apply.

Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8

Step-by-step explanation:

Answer:

range is { - 17, 1, 22 }

Step-by-step explanation:

Substitute the values from the domain (input) into f(x) for range

f(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17

f(2) = 3(2) - 5 = 6 - 5 = 1

f(9) = 3(9) - 5 = 27 - 5 = 22

range is { - 17, 1, 22 }

Answer:

Step-by-step explanation:

The mean:

[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]

We have:

[tex]\overline{x}=49;\ n=11[/tex]

Then we have

[tex]\dfrac{11\cdot49}{11}=49[/tex]

[tex]n[/tex] - the number

new mean is equal 45.

Therefore we have the equation:

[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]

Step-by-step explanation:

(x1 + x2 + ... + x11)/11 = 49

x1 + x2 + ... + x11= 49×11 = 539

(x1 + x2 + ... + x10)/10 = 45

x1 + x2 + ... + x10 = 45×10 = 450

so, the difference in both sums is

539 - 450 = 89

89 was the removed number.

Answer:Gabriela es mi hermana

Step-by-step explanation:

Answer:

x=115°,y=50°

Step-by-step explanation:

let <B =x

115°+x=180°

x=180°-115°=65°

Since <B=<C

x+65°=180

x=180-65=115°

For y,

y+2(65°)=180°

y+130°=180°

y=180°-130°=50°

Answer: $8.25

Step-by-step explanation: 33 divided by 4 (find unit rate)

Answer: $8.25

Step-by-step explanation:

Simply divide $33.00 by 4. 33/4 = 8.25

Answer:

y=2w im not shure tell me if this is wong

Answer: y=2x+1 (slope intercept form) & y-1=2(x+2) (point slope form)

Step-by-step explanation:

Parallel means the m value or slope are equal

Given those points and the slope you can begin to write the slope y intercept form

y=2x+B

Solve B or Y intercept x=0 and the Y value we get from the given points.

1=2*0+B

y=2x+1 (slope intercept form)

for point slope plug the points in this equation

y-y1=m(x1-x1)

y-1=2(x+2) (point slope form)

Answer:

Sarah mowed 1 lawn in 3 hours

Step-by-step explanation:

3 lawns divided by 3 is 1 lawn

9 hours divided by 3 is 3 hours

Answer:

See below:

Step-by-step explanation:

So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:

[tex]\frac{3}{9}=3:9[/tex]

Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.

Have a nice day and feel free to ask me if you need more help :D

Answer: 3

Step-by-step explanation:

[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]

Answer:

2

Step-by-step explanation:

Answer:

650

Step-by-step explanation:

822-72=650

Answer:

1) 9h² - 3h + 2h² when h= -1

11h²- 3h

11(-1)²-3(-1)

11+3

14

2) -6m + 3t +2m² when m= 3 and t=-1

-6( 3) +3(-1)+2(3)²

-18 -3 +18

-3

3) 7g² - 2c³/ 3g - c² when g=2 and c= -1

7(2)² - 2(-1)³ / 3(2) - (-1)²

28 +2 / 6-1

30/5

6

Answer:

Step-by-step explanation:

put C=13,700 and find m

The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):

\[C = 0.37m + 2600\]

Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):

\[13700 = 0.37m + 2600\]

Subtract 2600 from both sides:

\[11100 = 0.37m\]

Now, divide both sides by 0.37:

\[m = \frac{11100}{0.37}\]

Calculate the value of \(m\):

\[m \approx 30000\]

So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.

Learn more about operating cost at https://brainly.com/question/30566291

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Answer:

271 is the answer of your question

Answer:

15 pairs

Step-by-step explanation:

total:$20

cat food: $8:50

two pair of socks: $1.50

$20 - $8.50= $11.50(the rest of the money)

the rest is divided by the price of the socks to obtain how may socks you can pay with $11.50.

$11.50÷$1.50≈ 7.6

Now you multiply 7.6 by two to get the exact amount of socks with the offer.

7.6×2≈15.2

15.2≈15

So with $11.50 you will buy 14 socks for 1.50 every two pairs and a pair for 0.75

Answer:

36 units

Step-by-step explanation:

The segment joining the midpoints of two sides of a triangle is half the length of the third side, then

AC = 2 × 7 = 14

BC = 2 × 5 = 10

AB = 2 × 6 = 12

perimeter of Δ ABC = 14 + 10 + 12 = 36

Answer:

x= 5/9

Step-by-step explanation:

y=-9x+5

0=-9x+5

9x=5

x=5/9

Answer:

[tex] \boxed{ \sf{x = 65 \degree}}[/tex]

Step-by-step explanation:

In the given figure we have two corresponding angles.

We know that corresponding angles are equal to each other

So,

Therefore, x = 65°

Corresponding angles are same

[tex]\\ \sf\longmapsto 2x+5=135[/tex]

[tex]\\ \sf\longmapsto 2x=135-5[/tex]

[tex]\\ \sf\longmapsto 2x=130[/tex]

[tex]\\ \sf\longmapsto x=130/2[/tex]

[tex]\\ \sf\longmapsto x=65°[/tex]