Using elimination, find the ordered pair.

6x + 15y = 15
-6x +7y = -37

Answers

Answer 1

Answer:

x = -1 and y = 7/5

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}6x+15y=15\\-6x+7y=-37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad22x=-22\qquad\text{divide both sides by 22}\\.\qquad\qquad x=-1\\\\\text{Put the value of x to the first equation:}\\6(-1)+15y=15\\-6+15y=15\qquad\text{add 6 to both sides}\\15y=21\qquad\text{divide both sides by 15}\\y=\dfrac{21}{15}\to y=\dfrac{7}{5}[/tex]


Related Questions

On a certain day, the temperature changed at a rate of -2 degrees Fahrenheit per hour. How long did it take for the change in temperature to be -14 degrees Fahrenheit

Answers

Answer:

7 hours.

Step-by-step explanation:

Pretty easy. 14 divided by 2. To check the answer, 2 x 7 = 14.

Final answer:

When the temperature change rate is -2 degrees Fahrenheit per hour, it takes 7 hours for the temperature to drop by -14 degrees Fahrenheit.

Explanation:

The question asks us to determine the time it took for the temperature to drop by -14 degrees Fahrenheit when the rate of temperature change was -2 degrees Fahrenheit per hour. This can be solved using a simple equation of rate × time = change in quantity. As the rate is -2 degrees Fahrenheit per hour and the total temperature drop is -14 degrees Fahrenheit, the equation becomes -2 × time = -14. To solve for time, divide the total temperature change by the rate of change. Substituting the values into the equation gives: time = -14 / -2. Thus, the time it took for the temperature to drop by -14 degrees Fahrenheit was 7 hours.

Learn more about Time Calculation for Temperature Change here:

https://brainly.com/question/34039707

#SPJ2

What is the 3rd term in the sequence and how do you set it up

Answers

Answer:

135

Step-by-step explanation:

Using the given recursive rule, then

[tex]a_{2}[/tex] = [tex]a_{1}[/tex] (- 9) = [tex]\frac{5}{3}[/tex] (- 9) = - 15

[tex]a_{3}[/tex] = [tex]a_{2}[/tex] (- 9) = - 15 × - 9 = 135

In a survey 3/4 of 400 parents said yes, they give their children fruit snack. How many answered yes to the survey?

Answers

300 parents

3/4 = x/400, and we are trying to find x.

Multiply the numerator and denominator of 3/4 each by 100 to make the denominator equal 400. This gives 300/400. So, 300/400 = x/400.

Multiply both sides of the equation by 400 to cancel out the division. This gives you 300 = x, so 300 parents said yes to the survey.

Campbell's is designing a new label for their soup cans that covers the entire side of the can The soup can has a height of 8 inches and a radius of 2.5 inches. Determine how much material is needed to create each label.

Answers

Answer:

When π is approximated, 125.68, or 40π

Step-by-step explanation:

Circumference formula is 2πr

This is approx: 15.71

Multiply that by 8 to find the surface area of the side of the can.

The answer is 125.68.

HOWEVER, if you are expressing this without approximating π,

it would be 5(Pi), then multiply by 8, and we would get 40π

So un-simplified is 40π

Final answer:

The amount of material needed to create each label for Campbell's soup cans is 40π square inches.

Explanation:

To determine the amount of material needed to create each label for Campbell's soup cans, we need to find the lateral surface area of the can. The lateral surface area is the area of the curved surface. Assuming the label covers the entire side of the can, we need to find the area of the curved surface which can be calculated using the formula:

Lateral Surface Area = 2 * π * radius * height

Substituting the given values, we have:

Lateral Surface Area = 2 * π * 2.5 * 8 = 40π square inches.

This graph shows the temperature in city for eight days what was the temperature range for this period 67 73 80 73 76 75 73 67 answers 12,13,15,16

Answers

Answer: The answer is 13

Step-by-step explanation: The range means to find the difference from the largest number and smallest number

1) line all the numbers from biggest to smallest

80,76,75,73,73,73,67,67

2) take the largest number and smallest number

largest=80

smallest=67

3) then subtract the two to find your range

80-67= 13

Need contact number for this app!!!

Answers

Answer:

There is no number, I believe, but here:

https://brainly.com/app/contact

hope that helps!

huh I don’t know but hope you find what your looking for

Write each expression with fewer terms

Answers

Answer:

a.) 8m

b.) -5k+13m

c.) 3k+6m

Hope This Helps!  Have A Nice Day!!

Which would best illustrate the percentage of students that received As, Bs, Cs, Ds, and Fs on recent test ?

A) pie graph
B) histogram
C) data table
D) line graph

Answers

A) pie graph is ur answer

A) pie graph

Pie graphs are best used when comparing percentages, so it would be best to compare values using a pie graph in this situation.

umm what please help ? ? ? ? ?

Answers

Answer:

2nd answer choice from the top

Step-by-step explanation:

B is the answer for this question

I will mark brainliest, Please answer d). How do I do this question and what is the answer.

So far I have done:
3d - 11/4 +11/4 = 3/2 + 11/4
3d = 3/2 + 11/4

How do I find a common denominator? Can someone explain how I would find a common denominator in this question.

Answers

The lowest common denominator of the two fractions is 4 because it is the smallest number that both fractions can be transformed into. 3/2 is multiplied by 2 to create 6/4 which can be added to 11/4.

we could add the left-side and then cross-multiply and so on, OR we can simply get the LCD of all denominators, in this case 4,2 so our LCD will just be 4, and multiply both sides by 4, that way doing away with the denominators, so let's do so

[tex]\bf 3d-\cfrac{11}{4}=\cfrac{3}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( 3d-\cfrac{11}{4} \right)=4\left( \cfrac{3}{2} \right)}\implies 12d-11=6 \\\\\\ 12d=17\implies d=\cfrac{17}{12}\implies d=1\frac{5}{12}[/tex]

Which is an exponential function with a y-intercept of (0, -2)?

Answers

Answer:

f(x) = e^x - 3

Step-by-step explanation:

f(x) = e^x has a y-intercept of (0, 1) so we need to translate the function down 3 units to give:

f(x) = e^x - 3 (answer).

Answer: y=4^x - 3 or f(x) 4^x - 3

This has to do with mean,median,mode, and all that stuff, but my teacher is like,not really good at explaining stuff lol

Answers

The average of 6 quiz scores, where [tex]x[/tex] is the score of the last quiz, is

[tex]\dfrac{83+81+89+92+80+x}6=\dfrac{425+x}6[/tex]

The student needs a minimum average of 86 to earn an A:

[tex]\dfrac{425+x}6=86\implies425+x=516\implies x=91[/tex]

so the student needs a score of 91.

The regular price of a television set is $1,200. Albert buys the television set at a discount of 35% . How much does he pay for the television set?​

Answers

He pays $780 for the television set.

1200*.35=420

1200-420=780

Albert pays $780 for the television set after receiving a 35% discount on the original price of $1,200.

The regular price of a television set is $1,200. To calculate the price Albert would pay after receiving a 35% discount, you need to calculate the discount amount and subtract it from the original price. The discount can be calculated by multiplying the original price by the discount percentage.

Discount = Original Price × Discount Percentage = $1,200 ×0.35 = $420

Now subtract the discount from the original price:

Final Price = Original Price - Discount = $1,200 - $420 = $780

Therefore, Albert pays $780 for the television set.

A multiple choice test has five questions each with 5 possible answers. Find the probability of guessing the correct answers to all of the questions

Answers

Answer:

5/25 or 1/5

Step-by-step explanation:

5 questions, each has 5 possible answers, 5x5=25 each question had 1 correct answer so 5 right answers in the whole test. 5/25 but if u need to simplify, 1/5

Answer: Probability of guessing all 5 correctly: 1/3125 = 0.032%

Step-by-step explanation:

Probability of guessing the first question correctly:  1/5

For that 1/5 of the time when the first question has been guessed correctly, the second question could be guessed correctly 1/5 of the time. So the first two questions could be guessed correctly 1/5 × 1/5 = (1/5)^2 of the time.

Similarly the first three questions could be guessed correctly (1/5)^3 of the time.

and the first four, 1/5)^4 of the time;

and all fives,

(1/5)^5 of the time.

(1/5)^5 = 1/3125 = 0.00032 = 0.032%

* Hopefully this helps:) Mark me the brainliest:)!!!

I NEED HELP ASAP!!!
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.

Match the equation for how to solve for the side length of a cube to its description.
THANK YOU!!

Answers

Answer:

∛756 In. is the correct answer

Step-by-step explanation:

Here, Volume (V) = 756 in³

V = s³

Now,

756 = s³

s³ = 756

s = ∛756 In.

Thus, ∛756 In. is the correct answer

-TheUnknownScientist

Help!!!!!
A and B are independent events . P(A) = 0.80 and P(B) = .10 what is P(A and B) ?

Answers

Answer:

The probability of A and B is:

                 [tex]P(A\ and\ B)=0.08[/tex]

Step-by-step explanation:

We know that when two events: Event A and event B are independent then if P denote the probability of an event then Probability A and B is equal to the product of probability of the individual events.

i.e.

[tex]P(A\ and\ B)=P(A)\times P(B)[/tex]

Here we have:

P(A) = 0.80 and P(B) = 0.10

Hence,

[tex]P(A\ and\ B)=0.80\times 0.10\\\\P(A\ and\ B)=0.08[/tex]

Answer: 0.08

Step-by-step explanation:

1. what is the range of the following set of data? 9 3 1 8 3 6

2. what is the range of the following set of data? 125 61 98 101 72 119

3. match each item with the correct value for the following set of data? 2 4 4 6 6 8 10 11 12 14 17
this is matching

Quartile 3 (Q3) 1. 4
Interquartile Rage (IQR) 2. 8
Quartile 1 (Q1) 3. 12

4. What is the Interquartile rage of the following set of data?
20, 1, 28, 57, 34, 11, 50, 37, 15, 19, 24, 47​

Answers

For 1 and 2 the formula to find range is: the total of all the numbers divided by how many numbers there are added together (in the case of #1 it would be 6 #s being added)

A soup can has a diameter of 8 centimeters and a height of 15 centimeters. About how much soup does the can hold? Use 3.14 for pi. Round to the nearest tenth.

Answers

Answer:

754 cm cubed i believe the answer is

Step-by-step explanation:

A recipe calls for 2/3 cup of sugar for every 2 teaspoons of vanilla. What is the unit rate in cups per teaspoon?

Answers

Answer:

2/3 to 2 or 2/3:2 or two thirds to 2 or (2/3,2)

Step-by-step explanation: hope this helped

use the distributive property and mental math to find the product

Answers

Answer:

0

Step-by-step explanation:

0(No+Problem)

0+0=0

Answer:

Tell us

Step-by-step explanation:

yeah what the proudcut

A shipping box is shown below how many cubic feet will the shipping box hold

Answers

Answer

42

Step-by-step

Answer:

42 cubic feet

Explanation:

Formula for triangular prism(the figure in your picture): Volume=(B)H

B=Base=1/2bh — b=4ft h=3.5 ft

H=Height of prism= 6ft

So substitute formula:

Volume=(1/2(4)(3.5))*(6)

Volume=7*6

Volume=42 cubic feet

Help me with this question

Answers

Answer:

Go to desmos.com/calculator and there will be a graphing calculator

Step-by-step explanation:

Vote and say thanks!

The first number in each set is for the x axis and the second on the y

I NEED HELP with edges ans skwe lines HELP ME DUE IN 6 HOURS

Answers

Answer: Figure name: hexagonal pyramid.

bases: 1 base

faces: LRM, LMN, LNO, LOP, LPQ, LQR

edges: LO, LP, LQ, LR, LM, LM, PO, ON, NM, MR, RQ, QP.

vertices: L, O, P, Q, R, M, N.

hope this helps! ;)

Mama Mia restaurant used 1/2 of their mozzarella cheese making pizza, and the remaining 64 ounces making pasta. How many pounds did the restaurant start off with?
(please help I am bad at math)

Answers

Answer:

128 ounces

Step-by-step explanation:

Mama Mia Restaurant used 1/2 of their mozzarella cheese.

Fraction of the cheese left = 1 - 1/2 = 1/2

Remaining Cheese = 64 ounces

1/2 of their cheese = 64 ounces

All of their cheese = 64 x 2 = 128 ounces

Chef Katrina uses 1 cup of pecans for every 3 cups of peanuts in her Merry Munch Mix. One cup of pecans costs $ 4.99 and one cup of peanuts costs $2.25. If the cost for nuts in a batch of Merry Munch Mix is $35.22, how many cups of each type of nut were used?

Answers

Final answer:

Chef Katrina used 3 cups of pecans and 9 cups of peanuts for her Merry Munch Mix, totaling $35.22 based on the given prices of $4.99 per cup of pecans and $2.25 per cup of peanuts.

Explanation:

Calculating the Quantities of Pecans and Peanuts in the Merry Munch Mix

Chef Katrina uses a ratio of 1 cup of pecans to 3 cups of peanuts in her mix. We are given the cost per cup of pecans as $4.99 and the cost per cup of peanuts as $2.25. The total cost of nuts in the mix is $35.22.

To solve this, let's denote the number of cups of pecans used as p and the number of cups of peanuts as 3p (since there are three times as many peanuts as pecans). The total cost for pecans would be p times $4.99 and for peanuts 3p times $2.25.

Our equation based on the total cost is:
4.99p + 2.25(3p) = 35.22
4.99p + 6.75p = 35.22
11.74p = 35.22

Dividing both sides by 11.74 to solve for p:
p = 35.22 / 11.74
p = 3 cups of pecans

As there are three times more peanuts than pecans:
3p = 3 * 3 = 9 cups of peanuts

Therefore, Chef Katrina used 3 cups of pecans and 9 cups of peanuts in her Merry Munch Mix.

What is the perimeter of a square with a side length of 5(2p + 3)?

Answers

Answer:

P = 40p + 60

Step-by-step explanation:

The formula of a perimeter of a square withe side a:

P = 4a

We have a = 5(2p + 3).

Substitute:

P = 4[5(2p + 3)]               use the distributive property

P = 4[(5)(2p) + (5)(3)] = 4(10p + 15) = (4)(10p) + (4)(15)

P = 40p + 60

which is greater -21 or -12​

Answers

Answer: -12

Step-by-step explanation:

-12 is greater than -21 because -12 is the closest to 0 on the number line.

what is the area of the figure:

Answers

For this case we have that the area of the triangle is given by:

[tex]A = \frac {b * h} {2}[/tex]

Where:

b: It's the base

h: It's the height

We have to:

[tex]cos (45) = \frac {b} {24}\\b = 24 * cos (45)\\b = \frac {\sqrt {2}} {2} * 24\\b = 12 \sqrt {2}[/tex]

The atura will be given by:

[tex]sin (45) = \frac {h} {24}\\h = 24 * sin (45)\\h = \frac {\sqrt {2}} {2} * 24\\h = 12 \sqrt {2}[/tex]

So, the area is:

[tex]A = \frac {12 \sqrt {2} * 12 \sqrt {2}} {2}\\A=\frac{(12\sqrt{2})^2}{2}\\A = 144[/tex]

Answer:

144

Answer:

Area=144

Step-by-step explanation:

In right triangle ABC,

[tex]\sin\left(45^o\right)=\frac{BC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{BC}{24}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{Height}{24}[/tex]

[tex]\frac{24}{\sqrt{2}}=Height[/tex]

[tex]Height=\frac{24}{\sqrt{2}}[/tex]

similarly

[tex]\cos\left(45^o\right)=\frac{AC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{AC}{24}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{Base}{24}[/tex]

[tex]\frac{24}{\sqrt{2}}=Base[/tex]

[tex]Base=\frac{24}{\sqrt{2}}[/tex]

Then area of right triangle [tex]=\frac{1}{2}\left(Base\right)\left(Height\right)[/tex]

[tex]=\frac{1}{2}\left(\frac{24}{\sqrt{2}}\right)\left(\frac{24}{\sqrt{2}}\right)[/tex]

[tex]=\frac{576}{4}=144[/tex]

Hence Area=144

if the mean of a normal distribution is 22, what is the median of the distribution?

Answers

Answer:

22

Step-by-step explanation:

Normal Distributions are the most important in statistics. They are also know as "bell curves".

There are special properties of Normal Distributions. I name 3 of them below:

1. Normal distributions are symmetric about their mean.

2. The area under the normal curve is 1

3. The mean, mode, and median of normal distribution are equal

This question can easily be solved using property #3 in the stated above properties.

The mean and median of normal distribution are equal. Since mean is given as 22, the median will also be 22.

Re-arrange this polynomial so it’s terms are in order from highest to lowest. 4x to the 5th power + 2x to the 3rd power - 15 - 7x to the second power

Answers

Answer:

[tex]4x^5+2x^3-7x^2-15[/tex]

Step-by-step explanation:

Look at the degrees of each term.

[tex]4x^5=5 \\ \\ 2x^3=3 \\ \\ -7x^2 = 2 \\ \\ -15=1[/tex]

Rearrange them from greatest to least.

[tex]4x^5+2x^3-7x^2-15[/tex]

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