The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

Answers

Answer 1
The larger number is 51 and the smaller number is 12 . ( hope this helped have a good day )

Related Questions

A cylinder and its dimensions are shown below.
5 in.
3.5 in.
Benton is painting the lateral surface of this cylinder. Which expression will give him
the number of square inches that he will be painting?

Answers

Answer: 2π(1.75)(5)

Step-by-step explanation:

Hoped this helped

A television shop sold a set for $799. It made a profit of $ 245.25. How much did the shop buy the television for ?

Answers

Answer:

the shop originally bought the television for $553.75

Step-by-step explanation:

this is because if they sold it for $799 and made a profit of $245.25 then you would subtract the profit from the price the TV sold for and you get $553.75

Minus $799 with $245.25 then you will get the answer.

Factor and find the zeros of the relation.
(c.) y = 30x^2 + 44x + 16
(d.) y = 10x^2 +60x + 80

Answers

Answer:

Step-by-step explanation:

c.

y= 30x² +44x +16

factor

y= 2 (15x² +22x +8)

find zeros

15x²+22x+8=0

ax²+bx+c=0

x= (-b±√(b²-4ac))/2a

x= -22±√484-480/30 = -22±2/30 = -11±1/15

there are 2 zeros x= -10/15 ; x= -12/15

d.

y= 10x² +60x +80

factor

y= 10(x²+6x+8) = 10( x+2)(x+4)

finding zeros

x+2 =0 so x= -2

x+4 =0 so x= -4

there are 2 zeros x= -2; x= -4

Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.

Answers

Answer: I think the answer is $33.42

Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42

Violet buys a premium sound system that is on sale for 40% off the original price. The original price is $224 more than the sale price

Answers

Answer:

The original price was of $560, while the sales price was of 560 - 224 = $336.

Step-by-step explanation:

Original price:

x

Sales price:

224 less than the sales price, that is:

x - 224.

On sale fo 40% of the original price:

So the sales price is 100 - 40 = 60% = 0.6 of the original price. That means that:

[tex]x - 224 = 0.6x[/tex]

[tex]0.4x = 224[/tex]

[tex]x = \frac{224}{0.4}[/tex]

[tex]x = 560[/tex]

The original price was of $560, while the sales price was of 560 - 224 = $336.

There are 250 students in a class the ratio of boys to girls is 3:2 how many boys are there?

Answers

Answer:

total no of children = 250

let no.of boys be = 3x

let no.of girls be = 2x

equation = 3x+2x= 250

              = 5x= 250

             = x= 250\5

             = x= 50

so, no,of boys = 3x = 3x50 = 150

and no,of boys = 2x = 2x50 = 100

heres ur ans ,

hope it does help u !

if so plz mrk the brainliestt !!!!!

List the integer solutions of: -3 < 2e ≤ 8.

Answers

9514 1404 393

Answer:

  {-1, 0, 1, 2, 3, 4}  

Step-by-step explanation:

Divide by 2 to find the solution.

  -3/2 < e ≤ 4

The integer solutions are ...

  {-1, 0, 1, 2, 3, 4}

Step-by-step explanation:

-3 < 2e ≤ 8

devided by 2

-3/2 < e ≤ 4

so, the integers are : { -1,0,1,2,3,4}

What would be the surface area?

Answers

Answer:

7&2 = 49

49 x 3.14 x 2(there are two circles) = 307.72

Now we find the lateral surface area, we need to find circumference first:

2 x 3.14 x 7 = 43.96

Now we need to multiply by the height:

43.96 x 11 = 483.56

Now lets add our areas:

483.56 + 307.72 = 791.28 m^2 is your answer.

How do I do this please help

Answers

Answer:

C) 4,0

Step-by-step explanation:

Basically to find zeros you set up the expression equal to zero.

First pair is (0,0) they derived this by setting the leftmost x to 0 so x=0, this meant that when x was plugged back into the equation y = x(x-4) the y value we got out was 0 because y = 0 (0-4) = 0, thus the pair (0,0).

For second pair, we set up x-4= 0, solve this to get x = 4 (add 4 to both sides). Now plug this back into full equation y= 4 (4-4)= 0, you get y=0 and your ordered pair is (4,0) which is the second pair of zero.

Zero are x-intercept where y is zero which is the main reason why we setup x=0 or x-4=0 to start with.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[answer]  

»»————- ★ ————-««  

Here’s why:  

According to the question, the factored form of the given quadradic expression is: [tex]x(x-4)[/tex].I have graphed this on a graphing program.

⸻⸻⸻⸻

When graphed, the parabola passes the points (0,0) and (4,0). They are the zeros.

⸻⸻⸻⸻

Option C (4,0) would be the other 'zero'.

⸻⸻⸻⸻

See graph attached.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

I don’t know how to do this

Answers

Answer:

x-10

Step-by-step explanation:

Solve the equation. x/3=15 Shown work.

Answers

Answer:

45

Step-by-step explanation:

x/3=15

Mutiply each side by 3

x=45

[tex]\boxed{x\:=\:45}[/tex] ✅

Step-by-step explanation:

[tex] \frac{x}{3} = 15 \\ ✒ \: x = 15 \times 3 \\ ✒ \: x = 45[/tex]

To verify:-

[tex] \frac{x}{3} = 15 \\ ✒ \: \frac{45}{3} = 15 \\ ✒ \: 15 = 15 \\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

4q^2 - (qr + 25) if q = 6 and r = 19

Answers

Answer: 5

Explication: Do PEMDAS first solve the parenthesis which is 6x19= 114 then add the 25 which equals 139. Now slice the exponent 6^2=36 then multiply by 4 which equals 144. Subtract 144-139 and you get 5

Here are the first five terms of an arithmetic sequence.

26 19 12 5 -2

Find an expression, in terms of n, for the nth term of this sequence.

(I know part of it is -7n but I'm not sure if it would be 26 or -5 or what for the other part)
Tyyyyy <3

Answers

Answer:y=-7n+33

Step-by-step explanation:

Learning task 1.
Look around inside your house, illustrate five (5) thigs which represents a circle

i will make you brainlest if u answer this properly

Answers

Plate, bowl, pan, pot, cup

what are m4 and m1.............................................

Answers

Answer:

m<1 = 136

m<4 = 44

Step-by-step explanation:

Exterior angle thm:

<2 + <3 = <4

4x + 2 + 5x - 3 = 8x + 4

9x - 1 = 8x + 4

9x - 8x = 4 + 1

x = 5

m<4:

8x + 4

8(5) + 4

40 + 4

44

m<1 and m<4 are supplementary (they add up to 180) so:

m<1 + m<4 = 180

m<1 + 44 = 180

m<1 = 136

Round 81.469 to 1 decimal place.

Answers

81.469 correct to one Decimal place is 81.5

Hope This Helps You ❤️

The number that you will be rounding is: 5764.357894
Round this number in these 4 ways to the nearest:
1)ten
2)tenths
3)hundred
4)hundredths

Answers

Answer:

Rounded to the nearest ten, 5760

Rounded to the nearest tenth, 5764.4

Rounded to the nearest hundred, 5800

Rounded to the nearest hundredths, 5764.36

Step-by-step explanation:

Draw a box-and-whisker plot of the data. 37, 34, 26, 33, 38, 36, 30

Answers

I’m sorry this is messy but I hope this is right!! <3

G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m​

Answers

Answer:

C. 600 m²

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.

The area of a parallelogram is the product of its base and its height. It is given by the formula:

Area = base * height

We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:

Area = base * height = 40 m * 15 m = 600 m²

What is the perimeter of the house is c=5


I’m marking brainliest.

Answers

Answer:

132

Step-by-step explanation:

C=5

3c - 2 = 13

2c = 10

4c + 1 = 21

4c + 2 = 22

length = (3c- 2) + (4c + 1)

length = 13 + 21

length = 34

width = (4c + 2) + (2c)

width = 22 + 10

width = 32

Perimeter

p = 2l + 2w

p = 2*34 + 2*32

p = 68 + 64

p = 132

How many blocks with dimensions of a 3x1x1 can fit in a unit cube?
2
3
6
9

Answers

3 , hope this helps you

What are the solutions to the system of equations?
y=4x^2+6x−3
y=2x−3
Enter your answers in the boxes.
(_,_) and (_,_)

Answers

Answer:

(0, - 3 ) and (- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 6x - 3 → (1)

y = 2x - 3 → (2)

Substitute y = 4x² + 6x - 3 into (2)

4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

4x² + 4x = 0 ← factor out 4x from each term

4x(x + 1) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )

The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are

Answers

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]

The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:

[tex]H_0: \mu = 1250[/tex]

A tenant group thinks that the apartments are smaller than advertised.

Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:

[tex]H_a: \mu < 1250[/tex]

find the length of the diagonals of rectangle QRST

Answers

Answer: 11: 26

12: 111

Step-by-step explanation:

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
6/3
b.) 1/2
c.) 2/3
d.) 1/3

Answers

Answer:

1/3

Step-by-step explanation:

3 is a multiple of 3 itself so that's 1. 6 is also a multiple of 3 so that's 2 out of 6 in other terms 2/6. 2/6 simplified is 1/3 so he also has 1/3 of a chance of rolling a digit that is a multiple of 3.

Which of the following shows an example of an arithmetic sequence?
5, 15, 45, 135, 405
-5, 0, 0, 0, 0
Olololo
-10, -19, -28, -37,-46
0,1,1,2,2
Determine the common difference:

Answers

Answer:

C) -10, -19, -28, -37, -46

Common difference: -9

Step-by-step explanation:

A) 5, 15, 45, 135, 405 is an example of a geometric sequence because each subsequent term is being multiplied by 3, which is the common ratio.

B) -5, 0, 0, 0, 0 is an example of a geometric sequence with a common ratio of 0 because each subsequent term is being multiplied by 0.

C) -10, -19, -28, -37, -46 is an example of an arithmetic sequence because each subsequent term is subtracted by 9, which is the common difference.

D) 0, 1, 1, 2, 2 is neither a geometric nor arithmetic sequence because the sequence shows no pattern that follows that of the two possible sequences.

Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! <3 Need this asap please tysm!

Answers

Answer:

The surface area of the prism is 276 in.²

If you are also looking for the volume of the prism, it is 280.

Step-by-step explanation:

It's hard to find the surface area and the volume of the prism if you're just looking at the net of the 3D shape. There are some unnecessary measurements that will definitely throw you off. I drew a sample prism so it's easier to solve. Check the linked image.

The formula in finding the surface area of a prism is SA = 2(wl + hl + hw), where w is for width, l is for length, and h is for height. The point of all of these calculations is to find the area of 3 different faces of the prism and then you add up all of the areas and multiply the sum by 2 to give you the surface area. Looks a lot but it's worth getting the answer right.

The formula in finding the volume of the prism is V = w * h * l, where w is for width, h is for height, and l is for length. Simple multiplication of 3 different sides and you'll get the volume. I hope this helps and if I am wrong please let me know! :D

Answers:

Surface Area = 276 square inchesVolume = 280 cubic inches

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

Explanation:

It might help to draw this out on paper, cut the figure out, and fold along the lines to form a 3D box.

Check out the diagram below. In steps 1 through 4, we go from a flat 2D net to a 3D box. Steps 2 and 3 basically are just intermediate steps to show the folding process. If this was done with an animation, it might look better (you'll have to use your imagination a bit).

The letters A through F in red should help us see how the flat 2D figure connects to the 3D one. For me, it helps to picture a room. The floor is face B, the ceiling is E, and so on.

Anyways, once we get the 3D box, it has the following dimensions:

L = length = 10 inchesW = width = 7 inchesH = height = 4 inches

The order of length, width and height doesn't matter.

Once we know these values, we can plug them into the formulas below

SA = 2(LW+LH+WH)V = LWH

where SA and V are the surface area and volume respectively.

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

So,

SA = 2(LW+LH+WH)

SA = 2(10*7 + 10*4 + 7*4)

SA = 2*(70+40+28)

SA = 2*138

SA = 276 square inches is the surface area

and,

V = L*W*H

V = 10*7*4

V = 280 cubic inches is the volume

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

As an alternative way to get the surface area, you can compute the areas of rectangles A through F, and then add up those areas to get the overall surface area.

It's a bit interesting how the surface area and volume are almost nearly the same number. Though that could be a coincidence.

Please help what’s 6,7,8.

Answers

Answer: 7 is 1/8, 8 is 2/8 or 1/4

Step-by-step explanation:

PLS HELP ME!!!!!!!!!!

Answers

Answer:

1)  yes, SAS

2)  yes, AAS

3)  yes, SAS

4)  not enough information to know

Step-by-step explanation:

shira was riding the screamer when it broke down. her seat was 53 jorizontal feet from the central support pole. What was her seat's angle of rtation. Is there more tahn one possible solutions

Answers

Answer:

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Step-by-step explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees

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