Find the solution to the system of equations. -8x+4y=24 and -7x+7y=28
x=
y=

Answer:

Z > 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

2 × 14 ÷ (3² − 2)

28 / (9-2)

28/7

4

[tex]2\times14\div(3^2-2)[/tex]

[tex]14\times2=28[/tex]

[tex](3^2-2)=7[/tex]

[tex]28\div7[/tex]

[tex]=\fbox{4}[/tex]

Answer:

Step-by-step explanation:

we can solve with an equation

9 : 12 = 15 : x

x = 12 × 15 : 9

x = 180 : 9

x = 20

-------------------------

check

9 : 12 = 15 : 20

3 : 4 = 3 : 4

the answer is good

Answer:

41

Step-by-step explanation:

Answer: The difference between the angle measure is 152 degrees

Step-by-step explanation: Supplementary angles are angles that add up to 180

So if one angle is x in this case, the other will be 14x

Adding both ;

x + 14x = 180

15x = 180

x = 180/15

x = 12

The other angle is 14 * 12 = 168

The difference between the two will be;

168-12 = 156

Answer:

168

Step-by-step explanation:

m<B + m<C = 180 since the angles are supplementary.

m<B = 14m<C since the measure of angle B is 14 times the measure of angle C.

m<B + m<C = 180

14m<C + m<C = 180

15m<C = 180

m<C = 180/15

m<C = 12

m<B = 14m<C = 14 × 12

m<B = 168

Answer: 168

Answer:

[tex]\frac{35}{8}[/tex]

Step-by-step explanation:

Another name for 1 is [tex]\frac{8}{8}[/tex] so 4 can be [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] = [tex]\frac{32}{8}[/tex].  we can now add this to [tex]\frac{3}{8}[/tex]

[tex]\frac{32}{8}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{35}{8}[/tex]

If the number of bags is x, the cost of them is 8x.

After applying a $10 coupon the total was $30.

Set equation:

Solve it for x:

Answer:

Question 13

89.75

Question 14

39

Question 15

403

Answer:

13: 89.75

14: 39

15: 403

DISCLAIMER: This is all in EXACT answers

Step-by-step explanation: I hope this helps! (Not rounded; exact answers) I used long division.

TIP: Round up (or down) to find the rounded number. Remember, the number in the one's place between 0-4, you round down. You round up when the number in one place is 5-9. So,

718 rounded = 720

156 rounded = 160

3627 rounded = 3630

Now, divide the rounded answers by the number on the right, so the REAL answers are:

13: 90

14: 40

15: 403.3 (3 repeats forever)

I hope this helps ;)

Answer:

The answer to the question is 7. This is the number of baskets that Andrew made, as calculated using the equation b = 9 - 2.

Step-by-step explanation:

Answer: How you figure out the answer to this question is figure out if it's a line by a constant rate of change

Step-by-step explanation: Because you gotta make sure before you plug in an answer you need to make sure it's a line

In order to solve this problem, we need a few formulas to help us get to the answer:

The first formula we need is the Slope Formula:
[tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are two different points.

The second formula we need is Point-Slope Form:
[tex]\displaystyle y - y_0 = m(x - x_0)[/tex]

where (x₀, y₀) is a given point on the line and m is the slope.

Now, we can organize and define what the problem has given us:

We are first given information that a line passes through the points (6, 2) and (2, 4).

We are also given that the parallel line passes through (-1, 6).

Let's first find the slope of the line that passes through two points:

[tex]\displaystyle\begin{aligned}m & = \frac{4 - 2}{2 - 6} \\& = \frac{2}{-4} \\& = \boxed{ - \frac{1}{2} } \\\end{aligned}[/tex]

∴ we know that the slope is equal to negative one-half.

Let's substitute in our slope into Point-Slope Form since parallel lines have the same slope:

[tex]\displaystyle y - y_0 = m(x - x_0) \Rightarrow y - y_0 = - \frac{1}{2} (x - x_0)[/tex]

Recall that we were given the initial point (-1, 6). Let's also substitute this into Point-Slope Form:

[tex]\displaystyle \begin{aligned}y - y_0 = m(x - x_0) & \Rightarrow y - y_0 = - \frac{1}{2} (x - x_0) \\& \Rightarrow y - 6 = - \frac{1}{2} (x - -1) \\& \Rightarrow \boxed{ y - 6 = -\frac{1}{2}(x + 1) } \\\end{aligned}[/tex]

∴ we have found that the point-slope form of the equation of a line that passes through the point (-1, 6) and is parallel to the line that passes through the points (6, 2) and (2, 4) is equal to:
[tex]\displaystyle \boxed{ y - 6 = -\frac{1}{2}(x + 1) }[/tex]

Hope this helps!
#Brainlystudentskeeponlearning

___

Learn more about writing equations: https://brainly.com/question/9972577

Learn a little more about Algebra here: https://brainly.com/question/17011730

Hey, while you're at it, why not take a sneak peak of higher-level math here?: https://brainly.com/question/28758158

Answer: Principal amount is A = $250.09

Principal amount is B = $400.

Account B earned you the most interest the first​ month

The formula for simple interest is expressed as

I = PRT/100

Where

P = the principal or initial amount of money invested.

R = interest rate

T = time

On account A,

I = $6.94

R = 3.7%

T = 9 months = 9/12 = 0.75 years.

Using the formula:

On account B,

I = $13.80

R = 2.3%

T = 18 months = 18/12 = 1.5 years

Using the formula:

To determine the account that earned more interest in the first month we divide the interest by the number of months.

$6.94/9 = $0.7711

$13.80/18 = $0.7667

Account B earned you the most interest the first​ month because $0.7667 is higher than $0.7711.

Answer:

Principal amount is A = $250.09

Principal amount is B = $400.

Account B earned you the most interest the first​ month

The formula for simple interest is expressed as

I = PRT/100

Where

P = the principal or initial amount of money invested.

R = interest rate

T = time

On account A,

I = $6.94

R = 3.7%

T = 9 months = 9/12 = 0.75 years.

Using the formula:

On account B,

I = $13.80

R = 2.3%

T = 18 months = 18/12 = 1.5 years

Using the formula:

To determine the account that earned more interest in the first month we divide the interest by the number of months.

$6.94/9 = $0.7711

$13.80/18 = $0.7667

Account B earned you the most interest the first​ month because $0.7667 is higher than $0.7711.

Scroll down

Hope it helps.

Answer:

60 months

$9,000

4.6%

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.5cm}\underline{Simple Interest Formula}\\\\$ A = P(1 + rt)$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

Substitute the given values into the formula and solve for t:

[tex]\implies 5000=4000(1+0.05t)[/tex]

[tex]\implies \dfrac{5000}{4000}=1+0.05t[/tex]

[tex]\implies1.25=1+0.05t[/tex]

[tex]\implies 0.05t=1.25-1[/tex]

[tex]\implies 0.05t=0.25[/tex]

[tex]\implies t=\dfrac{0.25}{0.05}[/tex]

[tex]\implies t=5\; \rm years=60\; months[/tex]

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies 11160=P(1+0.08 \cdot 3)[/tex]

[tex]\implies 11160=P(1.24)[/tex]

[tex]\implies P=\dfrac{11160}{1.24}[/tex]

[tex]\implies P=\$9000[/tex]

Given:

Substitute the given values into the formula and solve for r:

[tex]\implies 3207=3000(1+r \cdot 1.5)[/tex]

[tex]\implies \dfrac{3207}{3000}=1+1.5r[/tex]

[tex]\implies 1.069=1+1.5r[/tex]

[tex]\implies 1.5r=1.069-1[/tex]

[tex]\implies 1.5r=0.069[/tex]

[tex]\implies r=\dfrac{0.069}{1.5}[/tex]

[tex]\implies r=0.046[/tex]

[tex]\implies r=4.6\%[/tex]

Therefore, the completed table is:

[tex]\begin{array}{|c|c|c|c|}\cline{1-4} \vphantom{\dfrac12} \rm BALANCE & \rm PRINCIPAL & \rm INTEREST \; RATE & \rm TIME \\\cline{1-4} \vphantom{\dfrac12} \$5,000 & \$4,000 & 5\% & \rm 60 \; months\\\cline{1-4} \vphantom{\dfrac12} \$ 11,\!160 & \$9,000 & 8\% & \rm 36 \; months \\\cline{1-4} \vphantom{\dfrac12} \$3,207 & \$3,000 & 4.6\% & \rm 18 \; months\\\cline{1-4} \end{array}[/tex]

Answer: The table to the farthest right the last one.

Explanation:

The interval (-1, ∞) represents x-values anywhere from -1 and higher.  

As such, you are looking for a table with y-values that decrease as the x-values increase.

Starting from -1 -

The first option: -5, -2, -1, 2. This is increasing.

The second option: -7, -6, 1, -1. This increases from -7 to -6 to 1.

The third option: -1, 2, 1, -6. This increases from -1 to 2.

The fourth option: 1, 0, -4, -8. This decreases across all coordinates in the range specified.

Answer:

The last graph (d) represents it

Answer:

D

Step-by-step explanation:

well, it all starts with a check, what calculations in the answer options are even correct.

A. is correct. 0.66/3 = 0.22

B. is incorrect

C. is incorrect

D. is correct. 0.78/3 = 0.26

so is it A or B ?

one group of 2 tens and 6 ones : how much is that ?

2×10 + 6×1 = 20 + 6 = 26

3 groups of 26 means

3×26 = 78

so, the combination of the 3 groups would either show that

3×26 = 78

or

78/3 = 26

and that is the same as showing

0.78/3 = 0.26

because

0.78 = 78/100

0.26 = 26/100

therefore

78/100 / 3 = 26/100

78/100 = 3×26/100 = 78/100

correct.

Step-by-step explanation:

Distribute the negative sign to each term inside the parenthesis.

- (9k-5p+7e-2)

To distribute the negative sign to each term inside the parenthesis:

a negative and positive = -

a positive and positive = +

a negative and negative = +

- (9k-5p+7e-2)

- 9k + 5p - 7e + 2

Step-by-step explanation:

(-9k+5p-7e+2)

-×-=+

-×+=-

+×+=+

Answer: Nicole cuts 5 feet of string into ¼ - foot pieces. How many pieces does she cut?

Step-by-step explanation:

Nicole cuts 5 feet of string into ¼ - foot pieces. How many pieces does she cut?

When you cut one piece of string into smaller pieces, that is the same as dividing.

5/1/4 is the same as 5*4/1

=20

Answer: 1.48 miles

Step-by-step explanation:

6.3 x 2 = 12.6

20 - 12.6 = 7.4

7.4/5 = 1.48

Answer:

Step-by-step explanation:

12x^2y^3-36x^5y^3-48x^4y4

factor out 12

12(x^2y^3-3x^5 y^3 - 4x^4 y^4

consider X^2 y^3 - 3x^5 y^3

4x^4 y^4 Factor out x^2y^3

x^2 y^3 (1-3x^3 -4x^2 y)

Rewrite the complete factored expression

12x^2 y^3 (1-3x^3-4x^2y)

Answer:

8 + 3

Step-by-step explanation:

the original price was "x", which oddly enough is the 100%.

now, let's pluck out of "x" 5 bucks, so that makes it "x-5", that's our new adjusted 100%, from which the lady at the counter is happy to apply a 20% discount.  Now, if the lady discounts 20% off of that "x-5" amount, what Priya is really paying for the sleeping bag is just 100% - 20% = 80%, and we happen to know that that 80% was really $34.40.

now, if "x - 5" is the 100%, and we know that 34.40 is the 80%, what the heck is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x-5 & 100\\ 34.40& 80 \end{array} \implies \cfrac{x-5}{34.40}~~=~~\cfrac{100}{80} \implies \cfrac{ x-5 }{ 34.40 } ~~=~~ \cfrac{ 5 }{ 4 } \\\\\\ 4x-20=172\implies 4x=192\implies x=\cfrac{192}{4}\implies x=48[/tex]

I think your answer is 2/3

I am not sure

Answer:

2.7

Step-by-step explanation:

The area of the circle is approximately 30,000 [tex]m^{2}[/tex]

The circumference of the circle is given as 600m.

And we know that circumference = [tex]2\pi r[/tex] where r is the radius of the circle.

Therefore,

[tex]2\pi r = 600[/tex]

[tex]r = \frac{600}{2\pi }[/tex]

[tex]r = \frac{300}{\pi }[/tex]

Now, we know that area of the circle = [tex]\pi r^{2}[/tex]

Putting the value of r in this, we get

area = [tex]\pi (\frac{300}{\pi } )^{2}[/tex]

area = [tex]\pi.\frac{300}{\pi } .\frac{300}{\pi }[/tex]

Therefore, area of the circle = 28,647.889 [tex]m^{2}[/tex]

Therefore, the correct answer is 30,000 [tex]m^{2}[/tex]

To learn more about circle and it's area, refer to:

https://brainly.com/question/16125353

Answer:

a 2E2

Step-by-step explanation:

[tex]\frac{2^{-3} }{2^{-5} }[/tex]  When powers have the same bases and you are dividing, you subtract the exponents.

[tex]2^{-3 - -5}[/tex] = [tex]2^{-3+5}[/tex] = [tex]2^{2}[/tex]

Answer:

y is 60 when x is 15

Step-by-step explanation:

the ratio of x to y is 1:4

Answer:

no solutions

Step-by-step explanation:

4x-2=7x+8-3x-6

4x-7x+3x = 8-6+2

0 = 4

Since 0 = 4 is a false statement, there is no solution.

Answer:

slope : opposite of a

y-intercet:b/c

x-intercet:a/b

Step-by-step explanation: