Mathematics High School

The larger number is five more than the smaller number. Four more than three times the
smaller number is twice the larger number. Find both numbers.

Answers

Answer 1

Answer:

Larger number = 11

Smaller number = 6

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

x - y = 5

3y + 4 = 2x       Subtract 2x

-2x + 3y + 4 = 0

===========

Multiply  the first equation by 2. Write the second equation underneath

2x - 2y = 10

-2x + 3y + 4 = 0

add

y + 4 = 10  

Subtract from both sides

y = 10 - 4

y = 6

==========

x - y = 5

x - 6 = 5                Add 6 to both sides

x = 5 + 6

x = 11

Answer 2

Answer:

            6 and 11

Step-by-step explanation:

x       ← the smaller number

x+5    ←  five more than the smaller number - the larger number

3x    ← three times the  smaller number

3x+4   ← four more than three times the  smaller number

2(x+5)   ← twice the larger number

3x + 4 = 2(x + 5)

3x + 4 = 2x + 10

   -4         -4

     3x = 2x + 6

  -2x       -2x

      x  =  6

x+5 = 6 + 5 = 11

Check:   3•6 + 4 = 22;  22:2 = 11

Related Questions

Round 9.8846387057 to the nearest whole number.

Answers

Answer:

10

Step-by-step explanation:

Hey there! The answer is 10 because if it is 9.5 or higher you will round it up to the nearest number. In this case, you are rounding 9.88, so you round up to the nearest whole number, which is 10.

~I hope I helped you! :)~

Answer:

10

Step-by-step explanation:

is -4.67 a rational number

Answers

Answer:

No

Step-by-step explanation:

do any of y’all know how to do number 7?

Answers

Answer:

f(-3) = 2

f(-1) = 2

f(8) = 1

Step-by-step explanation:

Yep! For any function f(x), you find the y value corresponding the x value. For example, in this question, it asks us to find f(-3). Therefore, you go to the line, x = -3, and see where it intersect the function (the y value). Your answer would be the y value.

The value corresponding to f(-3) seems to be 2.

The value corresponding to f(-1) seems to be -2.

The value corresponding to f(8) seems to be 1.

Austin is planning a canoe trip with his dad and brother. They are taking a cooler and a few supplies that weigh a total of 89 pounds with them. The canoe has a maximum weight limit of 765 pounds. Which inequality can be used to find p, the average allowable weight in pounds for each person in the canoe? 3p − 89 ≥ 765 ⊝ 3p − 89 ≤ 765 ⊝ 3p + 89 ≥ 765 ⊝ 3p + 89 ≤ 765 ⊝ CLEAR ALL

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i did the test and got it right

3p + 89 ≤ 765

What is the y-intercept of the line graphed on the grid?

Answers

Answer:

it is -4 because it is where the line touches the graph

Answer:

Looks like it could be -3.5

Step-by-step explanation:

The y-intercept is the point where the line crosses the y-axis.

Pablo bought 5 CDs that were each the same price. Including sales tax, he paid a total of $74.50. Each CD had a tax of $0.80. What was the price of each CD before tax?

Answers

Answer:

Step-by-step explanation:

74.50=5x+5(.80)

74.5=5x+4

-4          -4

70.5=5x

5        5

$14.10=x

(5x+6) over 2 = 3 (4x+12)

Answers

x= -66/19

Multiply 2 on both sides:

2*(5x+6)/2=3(4x+12)*2

Simplify:

5x+6=24x+72

Subtract 6 from both sides:

5x+6-6=24x+72-6

Simplify:

5x=24x+66

Subtract 24x from both sides:

5x-24x=24x+66-24x

Simplify:

-19x=66

Divide both sides by -19

-19x/-19=66/-19

Simplify:

x= -66/19

A chair costs $155. What is the total cost with a 30% discount and 5.5% sales tax?

Answers

Answer:

$114.46

Step-by-step explanation:

Ram’s father is 38 years old. His age is three more than five times the age
of Ram. What is Ram’s age?​

Answers

Answer:

7

Step-by-step explanation:

7 times 5 =35

35+3=38

correct answer is 7 years old

Answer:

Ram is 7

Step-by-step explanation:

38-3

=35 divided by 5

=7

help please!! thanks :)

Answers

Answer:

I think it's B not sure though.

1. Which equation shows the proportional
relationship in the table?
Time (weeks) 2 5 10
Trees Planted 130 325 650
A y = 2x
B y = 65x
C y = 130x
D y = 2x + 130
please help.

Answers

Answer:

B. [tex] y = 65x [/tex]

Step-by-step explanation:

Equation showing a proportional relationship between two quantities, is usually written as [tex] y = kx [/tex]. Where,

y = output/dependent variable

x = input/independent variable

k = constant of proportionality that exists between each pair of values given.

In this case:

y = trees planted

x = time (weeks)

To find the constant of proportionality, k, use any given pair as (x, y). Let's use (10, 650).

Substitute y = 650 and x = 10 into [tex] y = kx [/tex], and solve for the value of k.

[tex] 650 = k(10) [/tex]

Divide both sides by 10

[tex] \frac{650}{10} = k [/tex]

[tex] 65 = k [/tex]

[tex] k = 65 [/tex]

Substitute k = 65 into [tex] y = kx [/tex] to generate the equation that shows the proportional relationship in the table:

[tex] y = 65x [/tex]

Equivalent fraction with a denominator of 10, 100, or 1000 and a decimal with 1/2


​

Answers

Answer:

5/10

50/100

500/1000

Step-by-step explanation:

5/10 is equal to 1/2

50/100 is equal to 1/2

500/1000 is equal to 1/2

convert the rate of $480/day to the equialent rate in dollars/hour.

Answers

Answer:

It would be $20 per each hour

Step-by-step explanation:

Divide  480  by  24 .

Answer:

$20/ hour

Step-by-step explanation:

24 hours in a day

Divide $480/ 25

true or false -5 > -9

Answers

Answer:

True

Step-by-step explanation:

Positive Number = 7 > 5

Negative numbers : -5 > -7

True ! -9 means it’s further and -5 means it’s closer which means it’s colder

a square has a perimeter of 60yd. what is the length of each side

Answers

Answer: 15

Step-by-step explanation: 60/4=15

the perimeter is the overall numbers that are on each side that add up since a square has 4 sides and the overall perimeter=60 in all then it's 60/4=15


X + 5 = 1
—
4. Step by step please help!!!

Answers

Answer: x=-8

Step-by-step explanation:

X+5=1-4

X+5=-3

Now subtract 5 from both sides

X=-8

If you are looking for x. X is -4
X+5=1
-5. -5. ( subtract 5 from both sides)
_________
X = -4 ( 1-5=-4)

Help ASAP!!!!!!!!!!!!!!

Answers

Answer:

cause 2+2≠⁴

Step-by-step explanation:

10¥6

8910111213

aans =t-5

The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

Which equation can be used to find the first integer?




3x + 126 = 2x + 6

3x + 6 = 126

2x + 6 = 126

3x = 2x + 6

Answers

Answer:

3x + 6 = 126

Step-by-step explanation:

If you add all of them

x + x+2 + x+4 = 126

simplify the left-side

3x+6=126

subtract 6 from both sides and you get

3x = 120

divide both sides by 3

x=4

ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST
Write a conditional for the Venn Diagram.

the figure is a rhombus
the figure is a square
If
then
the figure is not a rhombus
the figure is not a square

Answers

Answer:

If the figure is a rhombus then the figure is not a square

Step-by-step explanation:

Hope this helped, Have an amazing day!

if the figure is a rhombus the figure is a square

a turtle traveled 1/10 miles in 1/2 hour, what was the turtles rate in miles per hour

Answers

Answer:

.2 mph

Step-by-step explanation:

Which figure has reflection symmetry?

Answers

Answer:

the arrow :)

Step-by-step explanation:

The arrow has reflection symmetry

Find the volume of a rectangular crate with dimensions 3 ft by 4 ft by 8 ft.​

Answers

Answer:

96 feet^3 (feet cubed)

Step-by-step explanation:

Volume is solved with the equation length*width*height, so in this case, 3*4=12 and 12*8=96.

Answer:

192

Step-by-step explanation:

3 times 4 is 24. 24 times 8 is 192

Your purchase at the grocery store is $42 and there is an 8% sales tax. What is
the amount of tax
you
will pay?

Answers

$45.36 you will pay
Put 42 in ur calculator and then add 8% and then press enter u will get 45.36

Or other way to do it 8% basically mean 8 divided by 100 calculate it u will get 0.08 multiply this number by 42 u will get 3.36 this is how much tax u should pay so add it to the price without tax 42+3.36= 45.36.

Choose the greatest of the four
rational numbers below.
A. 1.3
B. 1/3
C. 13%
D. 1.33

Answers

Answer:

D 1.33

Step-by-step explanation:

B and C are less than 1

A is one and .30

D is one and .33

33>30

Answer:

1.33

Step-by-step explanation:

Both the fraction and the percent are less than 1. You just have to compare 1.3 and 1.33, and 1.33 is greater.

4р + Зp - 27 +р*
help

Answers

Answer:

The Simplified equation is 8p - 27

Step-by-step explanation:

1st we can combine like terms which are 4p, 3p , and p

together we get 8p all we haev left is -27 since we can combine it the answer is  8p - 27

High Hopes^^

Barry-

what is the ratio of softballs to the total number of balls if there are 3 softballs and 184 is the total?​

Answers

i divided 3 (softballs) into 184 and i got 1/61 (rounded down) so for every 1 softball theres 61 other balls.
hope this helped!

Step-by-step explanation:

Question:-

what is the ratio of softballs to the total number of balls if there are 3 softballs and 184 is the total?

Answer:-

Ratio will be according to given units.

So, Softball : Total Balls

3: 184

Since it cannot be simplified further this is the answer.

Hope it helps ☃️

PLEASE HELP ASAP. what is the total number of miles that jocelyn walks her dog each week? move a number or symbol to each blank to make the equation. if there is no whole number, put a 0 in the first box after the equal sign

Answers

11 1/4 miles. Is how long she walked her dog

Answer:

11 1/4

Hope I helped

what is the range of y = -x + 3 if the domain is {-2,0,2,4}?

Answers

Answer:

i dont know

Step-by-step explanation:

i is spelt with i, and so on.  

FIRST ANSWER GETS BRAINLIEST

Answers

Answer:

4/15

Step-by-step explanation:

You would do it as follows

I-8/15I reduce the fraction by 2

I-4/25I the absolute fraction is always positive

So the solution is

4/25

Alternative forms are:

0.16 or (2/5)^2 (Just incase)

4/25 <-- answer (so you dont have to watcha  ad :)

|-8/50|

8/50 | 0.16

4/25 | 0.16

all possible ^

there4 its 4/25

A local parking garage charges $2.50 per hour. If Jason parks in the parking
garage for 3 hours, how much will he need to pay.

Answers

Answer:

$7.50

Step-by-step explanation:

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