Solve each problem by forming a pair of simultaneous equations:
Find two numbers with a sum of 15 and a difference of 4.​

Answers

Answer 1

Answer:

5.5, 9.5

Step-by-step explanation:

Let x and y be the numbers

x+y = 15

x-y = 4

Add the two equations together to eliminate y

x+y = 15

x-y = 4

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

2x = 19

Divide by 2

2x/2 =19/2

x = 9.5

Now find y

x+y = 15

9.5+y = 15

Subtract 9.5

x = 15-9.5

x =5.5

Answer 2

Answer:

11/2 and 19/2

Step-by-step explanation:

We have to make a system of equations:

1) X + Y = 15

2) X - Y = 4

Working on the first one:

X = 15 - Y

And now let's plug it in the second one:

(15 - Y) - Y = 4

15 - 2Y = 4

2Y = 11

Y = 11/2

Let's substitute this in one of the two equations:

X + 11/2 = 15

X = 19/2


Related Questions

Pablo guarda en su cajon 2 pares de medias blancas 4 pares de medias de azules y tres pares de medias negras cual es la probabilidad de que saque medias un par azul si saca las medias sin ver

Answers

Answer:

44.4%

Step-by-step explanation:

The probability in this case would be the specific number of pairs of means that we are asked to calculate, that is, blue divided by the total number of pairs, which would be the sum of the different colors, then:

We have that blue there are 4 pairs, and in total it would be 2 + 4 + 3 = 9, that is to say 9 pairs of means.

therefore the probability is:

4/9 = 0.444

Which means that there is a 44.4% chance of drawing a blue pair.

please find x and y i have tried so hard and i cant. i beg of you. 10 points

Answers

Answer:

x= About 5.2

y= About 14.7

Explanation:

X: tan60=9/x  ; x=9/tan60 = About 5.2

Y: sin60=9/z  ; z=9/sin60 ; z=10.4 ; sin45=10.4y ; y=10.4/sin45= About 14.7

I put z as the line opposite to 45 degrees. You need to add this value in order to solve for y.

simplify this question
2a-4(a-2)​

Answers

Answer:

-2a +8

Step-by-step explanation:

2a-4(a-2)​

Distribute

2a -4a +8

Combine like terms

-2a +8

Answer:

-2a +8

Step-by-step explanation:

2a - 4(a-2)

=2a -4a + 8

= -2a +8

Hope this helps you.

Good Luck!

Which of the following functions are linear?

Function A
x 3 6 9 12 15
y 9 36 81 144 225

Function B
x 5 10 15 20 25
y 8 16 24 32 40

A. Function A
B. Function B
C. Function A and Function B
D. None of the above

Answers

Answer:

answer B is the right answer.

Step-by-step explanation:

Function A has the form of y = x² , which is NOT linear but quadratic.

Function B has the form of y = 8/5x which is linear.

So answer B is the right answer .

The function which is linear is Function B which is f ( x ) = ( 8/5 )x

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Function B

x 5 10 15 20 25

y 8 16 24 32 40

So , for every increase of 5 in x, y increases by 8, which can be written as the equation y = (8/5)x.

f ( x ) = ( 8/5 )x

Hence , the linear function is f ( x ) = ( 8/5 )x

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ3

Given the figure below, find the values of x and z.

Answers

Answer: x = 2 and z=78

Step-by-step explanation:

Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.

Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:

5x + 92 + 78 = 180

5x + 170 = 180

5x = 180 - 170

5x = 10

x = 10/5

x = 2

The cost to purchase a movie from Movie
Time is $3.00 per movie as well as a $10.00
membership fee. To purchase a movie from
Movie City, the membership fee is $30.00 and
every downloaded movie is $2.00. How many
downloaded movies must be purchased for
the monthly price to be the same?

Answers

Y=3x+10 & y=2x+30 they would line up at 20,70

Find the product. (fg)9

Answers

Answer:

f9g9

Step-by-step explanation:

they are both powered individually

The sum of the numerator and the denominator of the certain fraction is equal to 4,140. When the fraction was reduced, the result was 7 13 . What was the original fraction?

Answers

Answer:

1449/2691

Step-by-step explanation:

We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.

First, let's multiply both by 200:

7 * 200 = 1400

13 * 200 = 2600

1400 + 2600 = 4000

It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:

7 * 205 = 1435

13 * 205 = 2665

1435 + 2665 = 4100

We get even closer, only 40 missing, let's try 207 below:

7 * 205 = 1449

13 * 205 = 2691

1449 + 2691 = 4140

We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691

Beth records the height of a plant for 8 weeks and creates a scatter plot of the data. What is the equation of the line of best fit? What will the plant’s height be in 20 weeks?
A: the equation is y=2x+5, and the height is 40 inches
B: the equation is y= -2x+5 and the height is 35 inches
C: y=2x and the height is 40 inches
D: y=2x and the height is 35 inches

Answers

Answer:

A: the equation is y=2x+5, and the height is 40 inches

can someone please help??​

Answers

Answer:

2/6 = 1/3

Step-by-step explanation:

There are 6 blocks, 2 of which are circled

2/6 = 1/3

2/6 = 1/3

Thank me later

factories fully the following
a)2x+8
b)3x-12
c)6x+4
d)18x-9

Answers

Answer:

a) 2(x+4)

b) 3(x-4)

c) 2(3x+2)

d) 9(2x-1)

Step-by-step explanation:

a) 2x+8=2(x+(8/2))=2(x+4)

b) 3x-12=3(x-(12/3))=3(x-4)

c) 6x+4=2((6/2)x+(4/2))=2(3x+2)

d) 18x-9=9((18/9)x-(9/9))=9(2x-1)

Answer:

a) 2(x + 4)

b) 3(x -4)

c) 2(3x + 2)

d) 9(2x - 1)

Step-by-step explanation:

a) Factor: 2x+8

   2x + 8

= 2(x + 4)

b) Factor 3x−12

   3x − 12

= 3(x − 4)

c) Factor 6x+4

   6x + 4

= 2(3x + 2)

d) Factor 18x−9

   18x − 9

= 9(2x − 1)

PLS HELP!!!!! WILL MARK BRAINLIEST Jake is moving. He rented the following moving truck. All the boxes that he has are the same size. He wants to determine the maximum number of cube shaped boxes he can fit in the moving truck. Show all calculations and label all work.

Answers

Answer:

He can fit 53 boxes in the moving truck.

Step-by-step explanation:

Dimensions of the container of truck = 15 feet × 7.5 feet × 7.5 feet

The volume of the container of moving truck = Length × width × height

= 15 × 7.5 × 7.5

= 843.75 feet³

Sides of each small square box = 2.50 feet

Volume of the one box = 2.5 × 2.5 × 2.5

                               = 15.63 feet ³

Maximum number of cube shaped boxes he can fit in the moving truck

= [tex]\frac{843.75}{15.63}[/tex]

= 53.98

He can fit 53 boxes in the moving truck.

Share $60 between Joy and Janice in the ratio 2:3. Joy gets____

Answers

Answer:

24

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

sum of the ratios =5

therefore, amt .received by joy

=2/5×60

=$24

hope it helps

What is the equation of a line that passes thorough the point (9,-3) and is parallel yo the line whose equation is 2x-3y=6?

Answers

Answer:

y+3=2/3(x-9)

Step-by-step explanation:

2x-3y=6

-3y=-2x+6

y=2/3x-2

This means that any line parallel to it must have a slope of 2/3 as well. Therefore, the equation of this line, in point slope form, is:

y+3=2/3(x-9)

Hope this helps!

Answer:

y = 2/3 - 9

Step-by-step explanation:

1. rearrange the equation

-3y = -2x + 6

y = 2/3 - 2

2. because it is parallel, the gradient will be the same.  substitute into y - y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2/3 - 6

y = 2/3 - 9

Please help image below homework due in today

Answers

Answer:

A=190 CM 2

Step-by-step explanation:

A=1/2[a+b]h

A=1/2[12 + 26] 12

A=190 CM2

Answer:

[tex]190 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} \times (a + b) \times h \\ \frac{1}{2} \times (12 + 26) \times 10 \\ \frac{1}{2} \times 38 \times 10 \\ \frac{380}{2} \\ = 190 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

it's not a or b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Kevin is three years older than Daniel

k         =                                        d+3

Kevin two years ago was 4 times older than Daniel was two years ago

k-2=4(d-2)

A trumpet player is currently standing in position (3, 2) on a gridded football field. Her bandleader
instructs her to move two units to the left and one unit up. What are her new coordinates?
The trumpet player's new coordinates are

Answers

Answer:

(1, 3)

Step-by-step explanation:

Current position (3,2)

Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)

Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)

Jessica hired a mowing company to clean her yard. The mowing company charges a fixed fee of $15 plus $17 per hour to clean her yard.

(1 point) Write an equation that can be used to determine, , the total amount in dollars that the mowing company charges to clean a yard in h hours.



(2 points) The mowing company charged a total of $86 to clean Jessica’s yard. How many hours did it take to clean Jessica’s yard?




A second mowing company charges $25 per hour to clean a yard. The second company does not charge a fixed fee in addition to their hourly rate.

(2 points) For what number of hours is the total amount charged for cleaning a yard the same for both companies? Show or explain how you got your answer.


Answers

Answer:

it took 5 hours to clean Jessica's yard

Emily studies 40 minutes after lunch for a science exam. She studies x more minutes that evening. Enter an equation that represents the total number of minutes, y, Emily studies for the science exam.

Answers

40 + x =
Because she studies 40 plus x more minutes

Name the slope perpendicular to 3/4.

Answers

Answer:

The perpendicular slope is -4/3

Step-by-step explanation:

Perpendicular slopes multiply to -1

m * 3/4 = -1

Multiply each side by 4/3

m * 3/4 *4/3 = -1 * 4/3

m = -4/3

The perpendicular slope is -4/3

Answer:

the perpendicular slope is -4/3

Step-by-step explanation:

I need this ASAP please.​

Answers

Answer:

[tex] \boxed{C. \: 19 \degree } [/tex]

Step-by-step explanation:

[tex] = > (6x + 11) \degree = (7x - 8) \degree \\ \\ = > 6x \degree + 11 \degree = 7x \degree - 8 \degree \\ \\ = > 6x \degree - 7x \degree = - 8 \degree - 11 \degree \\ \\ = > \cancel{-} x \degree = \cancel{- }19 \degree \\ \\ = > x \degree = 19 \degree [/tex]

The lifespan of a 60-watt lightbulb produced by a company is normally distributed with a mean of 1450 hours and a standard deviation of 8.5 hours. if a 60-watt light bulb produced by this company is selected at random, what is the probability that its lifespan will be less than 1465 hours

Answers

To find probability of something random you can take three random things and times them by each other.
You haven’t given enough information for me to answer this completely.
But I would assume the answer is 100% or 99%.

What is the name of half of a right circular cone, as shown below?
A. Nappe
B. Circle
C. Vertex
D. Parabola

Answers

Answer:

the answer of the question is a nappe

Answer:

The correct answer is nappe

Step-by-step explanation:

6171819
9
1
TH!
How many triangles do you see in the diagram?
Complete the explanation
There are
small triangles.
There are
There are
There is
triangles made of 2 triangles and 1 rhombus.
triangles made of 3 triangles and 3 rhombuses
triangle made of 4 triangles and 6 rhombuses.
large outer triangle
triangles in all
Lastly, there is
There are

Answers

Answer:

I am just trying I think the Ans is 7

I am having a bit of trouble with this
write an expression, with fewer terms, that is equivalent to 9x+6-4x+9

Answers

Answer:

5x + 15

Step-by-step explanation:

Given

9x + 6 - 4x + 9 ← collect like terms

= (9x - 4x) + (6 + 9)

= 5x + 15

What is the product of the polynomials below?

Answers

Answer:

Step-by-step explanation:

8x^3 + 16x^2 - 4x^2 - 8x -8x - 16

8x^3 + 12x^2 - 16x - 16

answer is c

if 7128 = 2^p * 3^q * 11^r find the value of p+q+r

Answers

Answer:

p+r+q=411

Step-by-step explanation:

7128=2p,3p,11r

7128=2p+3p=5p+11r

7128=5p÷5p+11r

7128=11r

7128÷11r

p+r+q=411

simplify sqrt of -72

Answers

Answer:

6√2 i.

Step-by-step explanation:

√-72

= √72 i

= √36 * √2 i

= 6√2 i.

What side corresponds to AB ?

Answers

Answer:

LM

Step-by-step explanation:

Circle J is inscribed in isosceles trapezoid ABCD, as shown. Points E, F, G, and H are points of tangency. The length of AB is 10 cm. The length of DC is 20 cm. What is the length, in cm, of BC?

Answers

Answer:

15cm

Step-by-step explanation:

Theorem: All tangents to a circle from the same point are equal.

Sine E, F, G and H are points of Tangency, by the theorem above:

EB=BFFC=GC

The diameter line EC divides the Isosceles Trapezoid into two equal parts.

Therefore:

EB=10/2=5cmGC=20/2=10cm

We then have by the equality above that:

BF=5cmFC=10cm

BC=BF+FC

=5+10

=15cm

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