The sum of two numbers is 60 and the difference is 4. What are the numbers?​

Answers

Answer 1

Answer: One number is 32, the other is 28

Step-by-step explanation:

Let's solve this problem with a system of equations

Let the x be one number, y be the other number

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

x+y=60

x-y=4

2x=64

x=32

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

Substitute x value into one of the equations

x-y=4

32-y=4

y=28

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

W-1<4 need help please

Answers

Answer:

5

Step-by-step explanation:

collect like terms

w<4+1

w<5

What is the percent of decrease from 1,000 to 400?

Write your answer using a percent sign (%).

Answers

Answer:

400/1000×100%

40% is the percent of decrease from 1,000 to 400.

160% of what number is 80% please help!

Answers

160% of 50 is the answer

A rectangle is 16m by 4m is similar to a rectangle 2m by Xm.Find the 2 possible values of x

Answers

Answer:
1. Area of rectangle with length 16 cm & width 4 cm=(length)×(width) =(16)(4) =64 cm
2. Area of square of side x= area of rectangle with length 16 cm & width 4 cmx2=16×4 x2=64 x-64--v38
3. Perimeter of square of side x=8 cm is=4x =4(8) =32 cm

Answer:

32cm

Step-by-step explanation:

Area of rectangle with length 16cm and width 4m

= (length) x (width)

= (16)(4)

=64cm

Question Progress
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Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:

b)
2, 6, 18, 54, 162

Answers

Answer: Please see explanation column for answer

Step-by-step explanation:

According to sequence   2, 6, 18, 54, 162

--we can see that it is a geometric sequence since to go from one term to the next requires us to  multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.

ie term 2/ term 1= 6/2 = 3

term 3/ term 2= 18/6= 3

term 4/ term 3= 54/28= 3

term 5 / term 4= 162/54=3

term 6 will therefore be 162 x3 = 486

and term 7 = 486 x 3=1,458 and so on

Recall that  nth term of GP is

Tn = ar^n-1

Where a= first term

r= common ratio

n= term

such that to easily find particular term, we  plug in the values and calculate

for example the 10th term of the above sequence

Tn = ar^n-1

= 2 X 3 ^(10-1)

2 X 3^9

T10 =39,366

Solve for x.
7(x - 3) + 3(4 - x) = -8


x = 25/10
x= -16/19
x= -41/10
O x = 1/4

Answers

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

[tex]7(x-3)+3(4-x)=-8[/tex]

[tex]7x-21+12-3x=-8[/tex]

[tex]4x-9=-8[/tex]

[tex]4x=1[/tex]

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

What are the scale factor and the center of dilation?

Answers

Answer:

Scale factor 2.5, Center of dilation is (-8,3)

Step-by-step explanation:

A dilation is a non rigid transformation. We know that a center of a transformation expect translations mean that it dont matter what change we do to the the pre image to get the new image. The center will stay where it was at all times. Looking at the figure, between the pre image and new image the only point that stays is Point K and point K' . so K is the center of the dilation and that at (-8,3).. Since the pre image is smaller than the new image we know the image scale factor is greater than 1 so the scale factor is expanding. To find the scale let look point K and L we need to find how far are they away from each other and which in this case is 4. Now let look at point K' and Point L'. There distances is 10. You can do the same for K and J. K and J distance is 2 units right and 4 units down. K' and J' distance is 5 units right and 10 units down.

Using this let set a proportion of one point from bigger figure to smaller figure. Distance in current image/ Distance in pre image. Let use K and J so it will be 10/4=2.5 so the scale factor is 2.5

Do All slope triangles have a ratio of 1/5?

Answers

The slope angle for all of the slope triangles is 11° and all the slope ratios are equal since they all equal 1/5

What is the solution
2/3a - 1/6 =1/3
a = 3/4
a = 1/4
a = 7/12
a = 1/6​

Answers

Answer:

2/3a - 1/6 =1/3

2/3a=1/3+1/6

2/3a=1/2

a=1/2×3/2=3/4

:.a=3./4

what is 2 dived by 0.04

Answers

Answer:

50

Step-by-step explanation:

The correct answer is 50

if the original quantity is 8 and the new quantity is 2 what is the percent decrease

Answers

Answer:

75%

Step-by-step explanation:

12.5 percent decrease per 1, multiply by 6, =75

Answer:

It’s a 75% decrease

Step-by-step explanation:

2 is 25% of 8 so since 8-2= 6 and 6/2=3 so you’d do 25 x 3 = 75 giving you 75%

solve the equation by factoring: 6x-0.2x^2=0
Please ill give brainliest to the correct answer

Answers

Answer:

The solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Step-by-step explanation:

Given the equation

[tex]6x-0.2x^2=0[/tex]

6x - 0.2x · x = 0

Factor out common term -x

-x (0.2x - 6) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]

solving

[tex]0.2x-6=0[/tex]

Multiply both sides by 10

[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]

Refine

[tex]2x-60=0[/tex]

Add 60 to  both sides

[tex]2x-60+60=0+60[/tex]

Simplify

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

Thus, the solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

The perimeter of a rectangle is 84cm . It's longest side is 29cm. State the length of the shortest side

Answers

Answer:

13cm

Step-by-step explanation:

29x2=58

84-58=26

26÷2=13

29+29 is 58
84-58 is 26
26/2 is 13.
Therefore shorter side is 13

What is the answer for this?

Answers

Step-by-step explanation:

im learning this too and I dont get it at all but use A app called Math. way

Answer:

3 =x 5 = y

Step-by-step explanation:

Using statistics shown you can infer that -2y + 12 = x

Paguei 74,00 por uma bolsa e uma sandália. A bolsa foi 23,00 mais barato q a sandália. Qual o preço da sandália?

Answers

Responda:

48,5

Explicação passo a passo:

Dado que:

Custo total de bolsa e sandália = 74,00

Deixei :

Custo da sandália = x

Custo da bolsa = x - 23

Preço da sandália:

x + (x - 23) = 74

x + x - 23 = 74

2x - 23 = 74

2x = 74 + 23

2x = 97

x = 97/2

x = 48,5

Portanto, custo da sandália, x = 48,5

Please do 1-4 and show work

Answers

Answer: 197/43-4=1

Step-by-step explanation:

I also need help rq for questions number 3

Answers

Answer:

12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so..  144 + 1225 = 1369. SO 12 would fit!

pleeease help will give brainliest

Answers

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

Describe the pattern. Draw what might be the next three figures in the pattern

Answers

Answer:

i dont know lol

Step-by-step explanation:

Jada was using square stickers with a side length of 3/434 inch to decorate the spine of a photo album. The spine is 10 1/21012 inches long. If she laid the stickers side by side without gaps or overlaps, how many stickers did she use to cover the length of the spine?

Answers

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = [tex]10\dfrac12[/tex] inches  = [tex]\dfrac{21}{2}[/tex] inches

Length of each sticker = [tex]\dfrac34[/tex] inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = [tex]\text{(Length of spine)}\div (\text{Length of each sticker})[/tex]

[tex]=\dfrac{21}{2}\div\dfrac{3}{4}\\\\=\dfrac{21}{2}\times\dfrac{4}{3}\\\\=\dfrac{7\times2}{1}=14[/tex]

The number of stickers she used to cover the length of the spine = 14.

Please help!


Mr. Bolden bought g guppies at a pet store for $3.00 each and paid with a $20 bill. Write an algebraic expression to represent how much change he will receive.

Answers

Answer:

C= 20-3g

Step-by-step explanation:

Given data

Mr. Bolden bought g guppies at a pet store for $3.00 each

cost = 3g

We are also given that the money paid is $20

Therefore let the change be c

The expression for his change is

[tex]C= 20-3g[/tex]

Malik and Tasha each worked three days in one week at the grocery store. Each day, Malik worked 2 fewer hours than Tasha. They worked a total of 18 hours that week. Find the number of hours that Tasha worked each day.

Answers

Answer:

Step-by-step explanation:

Firstly, since they worked 18 hours over 3 days, they worked a total of 6 hours each day. Since Malik worked 2 fewer hours than Tasha, we have that Tasha worked (6+2)/2 = 4 hours each day and Malik worked 2 hours each day.

Use the figure above to solve for x

Answers

Answer:

x is equal to 7

Step-by-step explanation:

Because the two horizontal lines are parallel, we know that the angles at which they intersect the diagonal line will be identical.

We also know that on either side of the diagonal line, the sum of the angles between that and either of the horizontal lines will be 180.

In short, we know that the two values given have a sum of 180.  With that we can quickly solve for x:

(x + 67) + (x + 127) = 180

2x + 194 = 180

2x = -14

x = 7

Solve the system of equations

-3x+y=-9
3x-y=9

Uh I think the answer is no solution???!? But I’m not sure, pls help.

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

-3x+y=-9

3x-y=9

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

0=0

It’s infinite solution because 0=0

PLZ HELP ILL GIVE 18 POINTS

Answers

Answer:

8 4/7

Step-by-step explanation:

the 4/7 is the fraction

Find the area of this figure.
A= cm2

Answers

Answer:

area of rectangle=7×5=35cm²

area of triangle=1/2×4×3=6cm²

Step-by-step explanation:

area of figure=35+6=41 cm²

1) Has zeros at -2 and 4, both being double roots

2) As x→∞, y→−∞

Answers

-(x+2)^2(x-4)^2

Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4

If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.

The negative in front flips the function over the x-axis and holds true to the given limit.

Please plz help angles inside circles. and segments

Answers

Answer:

the first one

Step-by-step explanation:

Pls, HELP ASAP! 10 POINTS!

Answers

Answer:

measure of 1 + measure of 3

Answer:

m∠1+m∠3

Step-by-step explanation:

Since ∠4 is the exterior angle of the given triangle, it is equal to the two remote angles, 1 and 3.

Calculate the quotient.

A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?

What are the answers?

Answers

A) 3/4 ÷ 5 1/5.

Answer:

[tex] \frac{15}{104} [/tex]

B) 3/7 ÷ 2 1/2.

Answer:

[tex] \frac{6}{35} [/tex]

C) 5/8 ÷ 6 5/6.

Answer:

[tex] \frac{15}{164} [/tex]

D) 8 3/10 ÷ 5/8.

Answer:

[tex]13 \frac{7}{25} [/tex]

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