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

Answers

Answer 1
the numbers are 51 and 12.
x = 3y + 15
51 = (3 x 12) + 15
51 + 12 = 63
Answer 2

Answer:

The numbers are:

The smaller number = 12The larger number  = 51

Step-by-step explanation:

Let 'x' be the smaller number

As the lager of two numbers is 15 more than three times the smaller. so,

The larger number = 3x+15

As the sum of the two numbers is 63, so the equation becomes

[tex]x + 3x + 15 = 63[/tex]

[tex]x+3x=63-15[/tex]

[tex]4x=48[/tex]

Divide both sides of the equation by

[tex]\frac{4x}{4}=\frac{48}{4}[/tex]

[tex]x = 12[/tex]

Therefore,

The smaller number = x = 12

The larger number  = 3x+15 = 3(12) + 15 = 36+15 = 51

Hence, the numbers are:

The smaller number = 12The larger number  = 51


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Step-by-step explanation:

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The LCD is 45. And for part 2 the answer is 22
I got 45. You can multiply 9 by 15 and then simplify.

25% of the dogs at a park are Corgis. There are 28 dogs at the park. How many dogs at the park are NOT Corgis?
07
O 14
O 20
O 21
O 24

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Answer: 21

Step-by-step explanation:

how to write this numbers in word 23.6​

Answers

Answer:

twenty-three and six tenths

Step-by-step explanation:

twenty-three and six tenths. or, simpler: twenty-three point six

solve the equation
2x-1 x
——- + — = 2
4 3

Answers

I think the question is 2x/4 - 1/3 + x = 2

So, if I solve for this:

[tex] \frac{2x}{4} - \frac{1}{3} + x = 2[/tex]

[tex] \frac{x}{2} - \frac{1}{3} + x = 2[/tex]

[tex] \frac{3x}{6} - \frac{2}{6} + \frac{6x}{6} = 2 [/tex]

[tex] \frac{3x - 2 + 6x}{6} = 2[/tex]

[tex]\frac{(3x + 6x) - 2}{6} = 2[/tex]

[tex] \frac{9x - 2}{6} = 2[/tex]

[tex]9x - 2 = 2 \times 6[/tex]

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Which equation best represents the
line on the graph?
A y = 3x - 9
B y = -3x + 9
C y = -3x - 3
D y = 5x + 3

Answers

Answer:

answer is b

Step-by-step explanation:

Austin is 69 years younger than Jamie. 3 years ago, Jamie's age was 4 times Austin's age. How old is Austin now?

Answers

Answer: 26 years old

Step-by-step explanation:

Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3Simplify the equations --> 4x-12=x+66Solve the equation: 3x-12=66 --> 3x=78 --> x=26

This is the same as other age problems, just with the extra step of distributing the multiplication.

Find the line of reflection if the image of (-5, -2) is each of the following
a. (5, -2)

b. (2, 5)

c. (-5, 0)

d. (1, -2

Answers

Step-by-step explanation:

which line would it be reflected over??

I can probably awnser if I know that.


You deposit some money in an account with an interest rate of 4% for 6 years. If you earned $407.83 in interest, how much did you invest? Round to
the nearest cent.

Answers

Answer:

$1,699.29

Step-by-step explanation:

A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate of production stays the same?


please help if you have the time :)

Answers

Answer:

The answer is 112

Step-by-step explanation:

first you add 48 together twice to get 96 which represents 6 hours. Then you divide 48 by 3 to get 16. So you add 16 to 96 which represents 2 hours giving you a total of 112 tons of flour for 8 hours.

Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.

Answers

Answer: $26.4 Australian dollars


Y=1.2x

Mary is five times as old as Fred. In three years Mary will be 4 times as old as Fred. Find their present ages?

Answers

ans

here let mary age be x and fred be y

1st equation

x= 5y

2nd equation

x+3 =4(y+3)

now from 1st equation putting value of x in equation 2

x+3 = 4y+12

5y+3 = 4y +12

y = 9

so fred is 9 and mary is 45

Cynthia is training to run the 100 yard dash. The first week she ran it is 14.0 seconds. The third week she ran it in 13.1 seconds. What is the percent change from week 1 to week 3 rounded to the nearest tenth of a percent?

Answers

Answer:

6.43% change

Step-by-step explanation:

Have a good one

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

First week:

Time taken to run 100 yards = 14 seconds

Third week:

Time taken to run 100 yards = 13.1 seconds

The percentage change in the time from the first week to the third week:

= [(Time taken at the first week - Time taken at the third week) / Time taken at the first week ] x 100

= [(14 - 13.1) / 14] x 100

= 0.9/14 x 100

= 6.4%

This means that there is 6.4% from the first week to the third week.

Thus,

The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.

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Y=7
Y=-2x+1

Find the intersection

Answers

I was going to answer but she gave you the answer sooo

The junior high art club sells candles for a fundraiser. The first week of the fundraiser, the club sells 7 cases of candles. Each case contains 40 candles. The goal is to sell at least 13 cases. During the second week of the fundraiser, the club meets its goal.

Answers

Answer:

The minimum number of cases sold the second week was

The number of candles sold in the second week is 240 candles

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Number of cases sold on first week = 7 cases

Number of candles in each case = 40 candles

Total cases of candles to be sold = 13 cases

Remaining cases of candles to be sold in second week =
Total cases of candles to be sold - Number of cases sold on first week

Remaining cases of candles to be sold in second week = 13 - 7

                                                                                             = 6 cases

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                                                                     = 240 candles

Hence , the number of candles sold in the second week is 240 candles

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Question 3 of 10
What is the slope of the line shown below?
10
A.
13
6
(1.6)
o
B.
6
16
- 5
C.
6
13
5
• (-5, -7)
D.
6
13

Answers

Answer:

c

Step-by-step explanation:

Please help me solve this!!

Answers

Answer: X=−1/4

Step-by-step explanation:

Can someone please help me

Answers

Answer:

The value of x is 7

AC congruent to DF because AC = 13.5 in. and DF = 13.5 in, EF congruent to BC because EF = 12 in. and BC = 12 in., ∠C congruent to ∠F. The triangles ACB and DEF congruent by the SAS Triangle Congruence Theorem only when x = 7

Step-by-step explanation:

If two sides in a triangle congruent to two sides in other triangle and the including angles between the two sides are congruent in the triangles, then the two triangles are congruent by the SAS postulate of congruency

In the given figure

→ If ∠C ≅ ∠F

∵ m∠C = m∠F

∵ m ∠ C = (2x + 14)°

∵ m∠F = (4x)°

→ Equate them to find x

4x = 2x + 14

→ Subtract 2x from both sides

∴ 2x = 14

→ Divide both sides by 2

x = 7

→ In Δs ABC and DEF

∵ AC congruent to DF because AC = 13.5 in. and DF = 13.5 in

∵ EF congruent to CB because EF = 12 in. and CB = 12 in.

∵ ∠C congruent to ∠F

∴ The triangles ACB and DEF congruent by the SAS Triangle Congruence

   Theorem only when x = 7

The pull of gravity is different on Earth than on the Moon. An object that weighs 25 pounds on Earth weighs about 4 pounds on the Moon. An astronaut, wearing all the necessary gear, weighs 500 pounds on Earth. How many pounds would the astronaut with gear weigh on the Moon?

Answers

Answer:

About 80 pounds

Step-by-step explanation:

25 / 4 = 6.25

500 / 6.25

Answer:

80 pounds

Step-by-step explanation:

What is 452 divided by 91

Answers

Answer:

the answer is 4.96703296703

Step-by-step explanation:

hope it helps :)

Answer:

4.96703296703

Step-by-step explanation:

Dividing 452 by 91 will give you 4.96703296703.

The ratio of females to total students in a mathematics class is 18 to 30. What fraction of the class is male? What percent is male?

Answers

Answer:

2/5 or 40%

Step-by-step explanation:

total students=30

female students=18

That must mean, assuming the rest of the class is binary male=12

12/30=2/5 or 40% if you multiply by 20, then multiply by 100%

(2/5)*20=.40*100%=40%

1+1+????????????????????????

Answers

Answer: 4

Step-by-step explanation:

1+1+2=4. Jk

thx for the free points

Answer:

8432324

Step-by-step explanation:

If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 3 and add 1 to the result."

Answers

Answer:

3x+1

Step-by-step explanation:

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Answers

Answer:

hi friend me

Step-by-step explanation:

Answer:

Don't you need an equation to find the equation perpendicular to it? Im confused

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?


A. $9.72
B. $21.87
C. $97.20
D. $218.70

Answers

Answer:

21.87

Step-by-step explanation:

Please help me solve question 1 thank you !!

Answers

Answer:

it would be 90 or 98

Step-by-step explanation:

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Answers

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sure

Step-by-step explanation:

im 5 tho :(

Meeeeee I’m 14 <3.............

goods costing 40000 sold at profit 20 percent for cash ​

Answers

Answer:

soooooooooooooooory

-2, 1, 4, 7, 10
find next two term​

Answers

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = a2 - a1 = 1 - (-2) = 3

= a3 - a2 = 4 - 1 = 3

Here, Common difference is same everywhere and the value of d is 3

Then,

To find 6th term of this sequence

a6 = a5 + d

= 10 + 3

a6 = 13

To find 7th term of this sequence

a7 = a6 + d

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-TheUnknownScientist

Answer:

13, 16

Step-by-step explanation:

If the positive number is bigger than the negative, the answer would be positive. For example, let's use -2 and subtract it from positive 4, the answer would be positive 2.

Sorry if I'm wrong. I'm a bit rusty on terms

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

23°

Step-by-step explanation:

Using trigonometry and the Soh Cah Toa method you can find this. Because you are looking for an angle you have to use the inverse and because it is adjacent and hypotenuse you use cosine. So take cos*-1( 35/38) because 35 is the adjacent and 38 is the hypotenuse.

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