Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11.​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using x and y to represent the 2 numbers with x > y , then

x + y = 15 → (1)

x - y = 11 → (2)

Adding the 2 equations term by term to eliminate y

2x = 26 ( divide both sides by 2 )

x = 13

Substitute x = 13 into (1)

13 + y = 15 ( subtract 13 from both sides )

y = 2

The 2 numbers are 13 and 2


Related Questions

[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

1/5x + 4/5 = 8/5

Multiply each side by 5 to get rid of the fractions

5(1/5x + 4/5) = 8/5 *5

x+4 = 8

Subtract 4 from each side

x+4-4 = 8-4

x = 4

30 in.
20 in.
36 in.
Find the area of the trapezoid shown above.
[?] square inches

Answers

Answer:

660 in^2

Step-by-step explanation:

The formula to calculate area of trapezoid : (a+b)/2*h (a: base, b: base, h: height)

(30+36)/2*20 = 660 in^2

Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42

Answers

Answer:

The answer for this question is A

what is the area of the figure below?

Answers

Answer:

D. 72 [tex]in^2[/tex]

Step-by-step explanation:

The square is 36 in2

The 2 triangles are both 18 in2.

36+18+18=72 in2

I hope this helps!

pls ❤ and give brainliest pls

Answer:

Area is 72 in²

Step-by-step explanation:

= Area of three triangles + area of square.

[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]

substitute:

[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]

(2) Mele scored 70% on
a fun
geography quiz. What fraction of the
test did she get right?

Answers

She got 7/10 of the question right.

PLEASE HELP ASAP :))


Sophie tried to evaluate an expression. Here is her work:
92 : 32.2 + 7.6
= 81 - 9.2 + 7.6
Step 1
= 9.2 + 7.6
Step 2
= 18 + 7.6
Step 3
= 25.7
Step 4
= 175
Step 5
Is Sophie's work correct?
Yes, Sophie's work is correct
No, Sophie made a mistake going from Step 1 to Step 2
O No, Sophie made a mistake going from Step 3 to Step 4.
No, Sophie made a mistake going from Step 2 to Step 3

Answers

No, Sophie made a mistake going from Step 3 to Step 4.

Explanation:
Using PEMDAS, or the order of operations, Sophie should have finished multiplying before adding. Here’s how her expression should’ve ended:

= 18 + 7 • 6
= 18 + 42
= 60

if the cost of 2:dozen copies is Rs 720 , find the cost of 72 copies .

Answers

Answer:

Rs 2160

Step-by-step explanation:

1 dozen = 12 copies

2 dozen = 24 copies ( 2*12)

72÷12 = 6 dozen

72 copies = 6 dozen

1 dozen = Rs 720÷2

1 dozen Rs 360

6 dozen = 360*6

6 dozen = 72 copies = Rs 2160

PLEASE HELP ME I WILL MARK BRAINLIEST!​

Answers

compute the range of the figures into the table

Condition for increasing decreasing and concavity of function

Answers

Answer:

If the concavity of f changes at a point (c,f(c)), then f′ is changing from increasing to decreasing (or, decreasing to increasing) at x=c. That means that the sign of f″ is changing from positive to negative (or, negative to positive) at x=c. This leads to the following theorem

Step-by-step explanation:

The previous section showed how the first derivative of a function,  f′ , can relay important information about  f . We now apply the same technique to  f′  itself, and learn what this tells us about  f . The key to studying  f′  is to consider its derivative, namely  f′′ , which is the second derivative of  f . When  f′′>0 ,  f′  is increasing. When  f′′<0 ,  f′  is decreasing.  f′  has relative maxima and minima where  f′′=0  or is undefined. This section explores how knowing information about  f′′

Let  f  be differentiable on an interval  I . The graph of  f  is concave up on  I  if  f′  is increasing. The graph of  f  is concave down on  I  if  f′  is decreasing. If  f′  is constant then the graph of  f  is said to have no concavity.

Note: We often state that " f  is concave up" instead of "the graph of  f  is concave up" for simplicity.

The graph of a function  f  is concave up when  f′  is increasing. That means as one looks at a concave up graph from left to right, the slopes of the tangent lines will be increasing. Consider Figure  3.4.1 , where a concave up graph is shown along with some tangent lines. Notice how the tangent line on the left is steep, downward, corresponding to a small value of  f′ . On the right, the tangent line is steep, upward, corresponding to a large value of  f′ .

1.11(5) - 11(4) =
2.8(-3 + 2) =
3.6(9) - 4(6) =
4.7(4) - 2(0) =
5.15(3) - 2(12) =
6.9(5 + 3) =
7.12(2) - 7(2) =
8. 8(3) =
9.(6)6) =
10.11(9) =
11.8(5) - 2(7) =
12.5(n) =
13.5y(2) =
14.13(x + 2) =
15. 16(5x - 8) =
16.23y( 2 + 4) =

Answers

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

Michelle gets10rewards points for each of her purchases at Starbucks. With 500 rewards points, she can get a free smoothie. If she has 370 points saved, how many purchases will it take her to get her free smoothie?

Answers

she needs 130 points saved up

Answer:

13

Step-by-step explanation:

In the diagram below, PQ is parallel to MN. Solve for 2. Round your answer to the
nearest tenth if necessary.

X=

Answers

So if pq is parallel to mn that and we need to find x and the hole thing is 10.9 tall then the answer would be 5.9

I need help finding y

Answers

to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:

[tex] {t}^{3} [/tex]

on the right side.

Subtracting 3, and we have successfully isolated y.

It would be impossible to get a quantitative value for y if we don't know the value of t.

respuesta listsdafddfssdffd

Ralph owns the farmer’s silo shown. The silo is a cylinder with a half-sphere as the roof. He wants to fill it up with corn for the pigs. If it costs $1.13 per cubic meter to purchase the corn, how much will it cost to fill up the whole silo?

Answers

Answer:

Half-Sphere Volume = [( π •diam³) / 6] / 2

Cylinder Volume =   ¼ • π • diam² • height

Cylinder height = 19 meters

Sphere diameter = 10 meters

Cylinder portion = ¼ • π • diam² • height

Cylinder portion volume = ¼ • π • 10² • 19

Cylinder portion volume = 1,492.26

Half-Sphere Volume = [( PI * 10^3) /6 ] / 2

Half-Sphere Volume = 261.80

Total Volume = 1,492.26 + 261.80 = 1,754.06 cubic meters

corn is $1.13 per cubic meter

total cost = 1,754.06 * $1.13 = 1,982.08

Answer is C 1,981.08

Step-by-step explanation:

PLEASE HELP I WILL MARK YOU BRAINLIEST IF CORRECT

Answers

Sure, I will help you. The answer you are looking for is x=11.

Solution/Explanation:

Write out the equation:

3(x+5)=5x-7

Using the Distributive Property on the LEFT SIDE,

3x+15=5x-7

Next, subtracting 3x from both sides,

3x-3x+15=5x-3x-7

15=2x-7, or 2x-7=15

2x-7=15

Now, adding seven to both sides,

2x-7+7=15+7

2x=22

Finally, dividing both sides by 2,

So, therefore the final answer is x=11. And, also, the next step would be written as 3x+15=5x-7, as stated above, preliminarily.

I hope this helped you find your answer. Enjoy your day, and take care!

The answer you are looking for is 3x+15=5x-7. But, the answer is x=11.

8. PLEASE HELPP!! Find the area of the shaded sector. Leave your answer in terms of .

Answers

Answer:

Area of a complete circle = PI * r^2

The shaded area is 1/3 of the circle so

Area = (PI * 9^2) / 3

Area = (254.4690049408) / 3

Area = 84.8230016469

Area = 84.82 square feet (rounded)

Step-by-step explanation:

-170=-7(8n-7)+5 please help

Answers

Answer:

n=4

Step-by-step explanation:

Let's get rid of the parenthesis first. We're left with -170=-56n+49+5. Let's move all of the numbers together so that the variable is separated from the numbers. Now we have 56n=224 using inverse operations. If we divide both sides by 56, we're left with n=4.

Hope this helped!

Answer:

n = 4

Step-by-step explanation:

-170=-7(8n-7) +5

-170=-56n+49+5

-170=-56n+54

-170+56n=54

56n=170+54

56n= 224

n=4


ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z= x-y.

Answers

Answer:

D. 20

Step-by-step explanation:

since the given shape is a parallelogram the parallel sides' length must be equal:

2x-10 = x+30

2x-x = 30+10

x = 40

2y-10 = y+10

2y-y = 10+10

y = 20

since z = x - y

z = 40-20

z = 20

Answer always, sometimes or Never.



Natural numbers are ----------- integers

Irrational numbers are ----------- rational numbers

Rational numbers are --------- real numbers

Square roots are __________Rational numbers

Answers

Step-by-step explanation:

1)Always

2)never

3)Always

4)Never

which of the following is a quotient of the rational expressions shown here?

Answers

Answer:

x^2+x

--------

x-1

Step-by-step explanation:

x            1

------ ÷ --------

x-1        x+1

Copy dot flip

x          x+  1

------ * --------

x-1        1

x(x+1)

-------

x-1

x^2+x

--------

x-1

C: because (x-1)(x+1)= x^2 - 1

What is the quotient when the polynomial 4x2 - 2x - 12 is divided by 2x - 4?

Answers

Tell me what x equals then I can awnser it do

can you please tell me the answer I don't know ​

Answers

Answer:

Twenty-eight billion five hundred forty-two million rupees

28,542,000,000 rupess

or, 28.542 × 10⁹ rupees

Can anyone help me with this question?
x^{2} + 7x -144
quadratic equations

Answers

Answer:

?

Step-by-step explanation:

Brainly challenge.

math is a bummer bro​

Answers

Answer:

alr let's start

one clock 12 hrs => 360 °

so 1hr=> 30°

now visualise clock with struck 8

between 12 and 8 from smaller angle we get that there are 4 hrs in between so

4 × 30 = 120°

done Dana done done

Answer:

ANGLE=120°

SEE THE IMAGE FOR SOLUTION

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Step-by-step explanation:

tujh vitamin ve j hhhjuhhujuhhgggggggggggg

Answer:

The answer is C 93.6

Step-by-step explanation:

The volume of a triangular prism: [tex](\frac{base*height}{2} ) * height of the prism[/tex]

so

[tex]\frac{(8)*(3.9)}{2} *4 = 93.6[/tex]

Type the correct answer in each box. Use numerals instead of words,
Cassie's age is 3 less than twice Kara's age. The sum of their ages is 42.
Create an equation to find Kara's age, n.
nt(
[
70

Answers

Answer: x + 2x - 3 = 42 is the equation and kara is 15 years old and cassies is 27 years old.

Step-by-step explanation:

Let age of kara be x years

Cassie's age will be 2x-3 years

ATQ

x + 2x-3 = 42

3x = 42+3

3x = 45

x = 45/3

x = 15

Kara's age = 15 years

Cassie's age = (15×2)-3

= 30-3

= 27 years

please click thanks and mark brainliest if you like :)

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and select the correct option below

Answers

Answer:  r = C/(2pi)

This is the same as writing [tex]r = \frac{C}{2\pi}[/tex]

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like [tex]r = \frac{C}{2\pi}[/tex]

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

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

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

Mrs. Applebaum goes to the supermarket to buy a box of cereal. She has a coupon for 35 cents off. The original
price is $4.73. How much does she need to pay for the cereal?
O $1.23
O $4.38
$4.48
O $5.08
HELPP

Answers

Answer:

4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38

Step-by-step explanation:

Answer:

$4.38

Step-by-step explanation:

$4.73 is the full price. She has a coupon for 35 cents OFF which means you have to subtract .35 from 4.73. 4.73 - .35 = 4.38

Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.

Answers

Answer:

-2.

Step-by-step explanation:

Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]

= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10

= (1 - 10 + 18 - (121 - 110 + 18) / 10

= (9 - (29) /10

= -20/10

= -2.

Answer:

Step-by-step explanation:

The answer is +2 or 2.

Suppose a wall divides a playground, and twenty balls lie on the ground on the east side, while forty balls lie on the west side. If a child on the east side of the wall always tosses a ball over the wall at the same time a child on the west side tosses a ball over the wall, then:

Answers

Answer:

The amount of balls on each side would stay the same. The amount of balls would stay the same as long as both sides are throwing the same number of balls at the same time.

Step-by-step explanation:

Equation for east side: 20 (balls) -1 (thrown over to west) + 1 (thrown over from west) = 20 balls

Equation for west side: 40 (balls) -1 (thrown over to east side) +1 (thrown over by east side) = 40 balls

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