3. The average of two numbers is 55. If their positive difference is 64, then determine the two numbers algebraically.

Answers

Answer 1

Answer:

the numbers are 41 and 23

Step-by-step explanation:

Given data

let the numbers be x and y

x+y/2= 55

cross multiply

x+y= 110----------1

positive difference is 64

x-y= 64-----------2

solve 1 and 2

x+y= 110

x-y= 64

from 1

x= 110-y

put the value of x in 2

110-y-y=64

110-2y=64

110-64=2y

46=2y

y= 46/2

y=23

put y= 23 in 2

x-23= 64

x= 64-23

x=41


Related Questions

Decide whether n = 9 is a solution to
the equation 2+n=7. Write yes or no

Answers

Answer:

No. The answer would be n=5

Step-by-step explanation:

You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2

Is the circumference of a circle that the diameter is 9.4 cm

Answers

Answer:

To find the radius we must multiply by two to get 18.8

Then we multiply 18.8 for PIEEEEEE

3.14x18.8= 59.03

Step-by-step explanation:

I hope this helps!!!!! Please mark me brainliest.

Cameron is on page 21 of his book. He reads 112 pages per minute and wants to read to at least page 84 tonight. The inequality 21+112t≥84 models this situation, where t is time in minutes. Which represents the time it will take Cameron to reach his goal?

Answers

Answer:

t ≥ 0.5625

Step-by-step explanation:

Given:

21 + 112t ≥ 84

112t ≥ 84 - 21

112t ≥ 63

t ≥ 63/112

t ≥ 0.5625

t = time in minutes

hii pls help me if u cann

Answers

Answer:

3/4x+2

Step-by-step explanation:

We can see the y intercept is 2 so our equation looks like this

y=mx+2

We just need to solve for m

We can take the point

(4,5)

and plug it in

5=4x+2

solve for x

x=3/4

Need help plz!!!!!!!

Answers

Answer:

8. s(-2) = 3, s(0) = 2, s(4) = 0

Look at the table for each of the values of x in s(x) and see what the y-value is. For example, for s(-2) you look at what y is when x = -2. It would be y = 3.

9. when x = -4, so s(-4)

Look through the table to find the row where y = 4. x would be -4.

10. -1

You can see that each time x goes up by 2, y goes down by 1. This means that the next row would say x = 6 and y = -1. The predicted value of s(x) is -1.

What happens when a figure is dilated .

Answers

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

solve for x 6(4x+1)=78

Answers

Answer:

x=3

Step-by-step explanation:

here,

6(4x+1)=78

or,24x+6=78

or,24x=78-6

or,24x=72

or, x=72/24or, x=3SO, THE ANSWER IS: 3.

Match each of the equations with their corresponding graph

Answers

Answer:

equation a and graph E

equation b and graph a

equation c and graph b

equation d and graph D

Step-by-step explanation:

Find the missing dimension of a triangle with a base of 14.2 yd and a area of 63.9 yd

Answers

Answer:

7.78

Step-by-step explanation:

first you need to divide both numbersthen you nullify the sumyv6bgu6g6ogi5 baka

Please help asap ill mark you brainliest!!

Answers

Answer:

4,184.87 square meters

Step-by-step explanation:

let me know if you want to see work . . .

Find the slope (rate of change) from the table. Simplify if necessary.
X
1
2
3
4
у
-3
-9
-21
-15​

Answers

Answer:

i think it would be 2 because its in the middle of the slope and it would make scence

Step-by-step explanation:

A shoe distributor sells a particular pair of shoes to a store for $42.80. The store then sells this pair of shoes to a customer at a 35% markup. How much money does the store make from selling one pair of shoes to a customer?

Answers

Answer:

$14.98

Step-by-step explanation:

The store bought the pair of shoes for $42.80.

If the store sells the pair of shoes at a 35% markup, then it is selling it at:

([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78

To calculate how much money the store is making from selling this pair of shoes:

57.78 - 42.80 = $14.98

The store would be making $14.98 for selling one pair of shoes to a customer.

Which expression is equivalent to 4(3+5) - 3•9^2

Answers

Answer:

se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok

Step-by-step explanation:

espero ter ajudado.

You might need: Calculator
Raj wants to take yoga classes. There are two yoga studios that have different membership plans.
The first studio charges a fixed amount of $70 per month, and you can take as many classes as you want
for no additional charge.
The second studio charges a smaller initial fee plus an additional fee for each class taken. The monthly price
(in dollars) of the second studio as a function of the number of classes taken is given by the following table
of values:
Classes
Price (dollars)
1
35
3
45
5
55
Which studio charges more for each additional class?

Answers

Answer:

Which studio charges more for each additional charge? B

Raj wants to take 8 classes each month. Which studio is cheaper for him? A

Step-by-step explanation:

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

Answers

Answer:

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

What is the value of the
expression below if a = -4, b = 5?

Answers

Answer:

56

Step-by-step explanation:

2a^2b+5ab-4

substitute a & b:

2(-4)^2(5)+5(-4)(5)-4

2(16)(5)+5(-4)(5)-4

160-100-4=56

The answer should be 38
Sorry if it’s wrong

When solving the inequality 3x - 2 < 8x + 10, the next line
becomes 3x < 8x + 12. Which property justifies this step?
(1) Distributive
(2) Associative
(3) Multiplicative Property of Equality
(4) Additive Property of Equality

Answers

The answer is 3 hope this helps

-15
14
13
-12
-11
-10
9
-8
-7
6
-5
4
3
2.
0
1
2
2
3
4
ОЛ-
Type here to search

Answers

The next one is 16 probably

find the value of x and y (5y-23) (2x+13) (3x) 47​

Answers

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?

Answers

Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

I need help quickly!!!

You solve a system of two linear equations by substitution. Your work results in a third equation, which leads you to conclude that the system has infinitely many solutions. Which of the following could be the third equation?

The options are:
5=0
-4=-4
2y=14
3x+10=16

Answers

-4=-4.......................

Hi can anyone do these for me please

i have to turn in the assignment please can anyone do it fast please

Answers

Answer:

awsten knight

Step-by-step explanation:

Help plsssssssssssssss

Answers

Answer:

45

Step-by-step explanation:

r

Answer:

8 centimeters is > 19 millimeters

Step-by-step explanation:

pls help me with this multiple choice !

Answers

Answer:

A

Step-by-step explanation:

[tex] \sin(60) = \frac{13 \sqrt{ 3 } }{x} \\ x = \frac{13 \sqrt{3} }{ \sin(60) } = 26 \\ \cos(60) = \frac{y}{26 } \\ y = 13[/tex]

Write these in order starting with the smallest first.
12% 3/8 0.0123 42% 1/5 0.45

Answers

12% = 12/100-> 1.2/10

Which function does the graph represent?
Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3

Answers

Answer:

The function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

Step-by-step explanation:

From the graph, it is clear that:

The vertex = (2, 3)

The y-intercept = (0, -1)

Let us check the equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Determining the y-intercept:

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in teh equation

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]

[tex]y=-2^2+3[/tex]

[tex]y=-4+3[/tex]

[tex]y=-1[/tex]

Thus,

The point representing the y-intercept is:  (0, -1)

Determining the vertex:

The vertex of an up-down facing parabola of the form ax² + bx + c is:

[tex]x_v=-\frac{b}{2a}[/tex]

As the equation is

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:

[tex]y=-x^2+4x-1[/tex]

The Parabola params are:

[tex]a=-1,\:b=4,\:c=-1[/tex]

Thus,

[tex]x_v=-\frac{b}{2a}[/tex]

[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]

[tex]x_v=2[/tex]

Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]

[tex]y_v=-x^2+4x-1[/tex]

[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]

[tex]y_v=-4+8-1[/tex]

[tex]y_v=3[/tex]

Therefore, the vertex of the equation is:  (2, 3)

Hence, the function which represents the graph is:

[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]

Hence, option  B is correct.

The graph is also attached.

David wishes to build a circular fish pond. The diameter of the pond is to be 3m.
a. How many lineal meters of bricks are needed to surround it? Round your answer to two decimal places.
b. What is the coast if the bricks are $45 per meters? ( Use your answer from part a.)

Answers

Answer:

9.42m , $423.9

Step-by-step explanation:

C = 2πR

so, 2*3.14*1.5

=9.42478m

9.42*$45

= $423.9

Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick drink altogether? (Write fraction answers as a mixed number like this 2 1/2) He drank _____ liters. *

Answers

Answer: 1¹¹/₂₀ litres

Step-by-step explanation:

The fractions need to be added.

Find a common multiple for them.

Common multiple = 20

Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:

[tex]= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}[/tex]

= 1¹¹/₂₀ litres

PLEASE HELP ME I BEG OF YOU

Answers

= d+5+d+5+d+5+d+5

= 4d+20

=4(d+5)

I hope this helps☺️

A shoe sales associate earned $300 in November. In December she earned 8% more than she did in November. How much she earn in December? *

Answers

Answer:

$324.00

Step-by-step explanation:

Increase the number by 8% of its value.

Percentage increase = 8% × 300

New value =

300 + Percentage increase =

300 + (8% × 300) =

300 + 8% × 300 =

(1 + 8%) × 300 =

(100% + 8%) × 300 =

108% × 300 =

108 ÷ 100 × 300 =

108 × 300 ÷ 100 =

32,400 ÷ 100 =

324

$24.. 8% of $300 equals 24 so the associate made $324 dollars in December. 24+300=324

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