One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.

Answers

Answer 1

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

x = 5y - 6 This is just the first sentence written as an equation.

x + y = 60 This is just the second sentence written as an equation.

5y - 6 + y = 60 Substitute x for what you know it is equal to

6y - 6 = 60 Collect like terms

6y = 66 Add 6 to each side

y = 11 Divide each side by 6

x = 5 × 11 - 6 Substitute y for what you know it is

x = 55 - 6 Simplify by working out 5 × 11 = 55

x = 49 Subtract 6 from 55 to get 49


Related Questions

Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

(10^2 )^3
i need some help

Answers

Answer: 10^6

Step-by-step explanation:

When you take a power to a power, you can multiply the two powers:

10^6

Answer:

10^6 hope this helps you

Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?​

Answers

Multiply 8km/h by 4h. You will get 32 km

11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

Answers

11 divided among the 5
2 and 1/5
Or 2.2

I need help how to get the answer please help!

Answers

Answer:

w=10

Step-by-step explanation:

You would have to set 5w-4=46.

5w-4=46

Add 4 to both sides

5w=50

Divide both sides by 5

w=10

Answer:

W=10

Step-by-step explanation:

5w-4 and 46 are vertical angles which means they are congruent, so you set them as equal to each other and alive from there

...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]

Answers

Answer:

-3

Step-by-step explanation:

(1+2)/(1-2)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

(1+2) ÷ (1-2) = 3 ÷ -1 = -3

How many solutions does -7+5x=5x+9

Answers

Answer:

There are no solutions. This question is impossible.

Step-by-step explanation:

Please help I don’t wanna add a bunch of points Bc nobody is helping me I’m just wasting them.

You want to determine the height of your
school building. The building casts a 6-foot
shadow at the same time you cast a 15-inch
shadow. If you are 5 feet tall, how tall is the
school building? Write an equation and solve,
showing ALL the work.

Answers

Answer:Cross multiply and solve for x.

x/6 = 5/1.25

let the height of building be h ft

h/6 = 60/15

h = 6(60/15) = 24

the building is 24 ft high

Step-by-step explanation:

Well first let’s covert the ft to in- 5ft is 60 in and 6ft is 72 in. Then we want to set up 2 fractions based on height and shadow, so we have 60/15=x/72 (we put x because that’s what we’re trying to find). Then we do cross multiplication so now we have 15x=4320. We divide 15, so now we have 4320/15=288. So the building is 288 in tall or 24ft tall! Glad to help! :)

Find each angle measure.

Answers

Answer:

Step-by-step explanation:

1)140

2)70

answers:
1) 140
2) 70

(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is​

Answers

Answer:

Given,

Weight of each apple =75 gm

Weight of each orange =40 gm

So,

Weight of x apples =75x gm

Weight of y oranges =40y gm

Thus,

Weight of x apples and y oranges =(75x+40y) gm

I hope it's helpful!

Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2

Answers

Answer:

[tex]F(x) = f \circ g[/tex]

[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Step-by-step explanation:

Given

[tex]F(x) = x + 2[/tex]

Required

Express as

[tex]F(x) = f \circ g(x)[/tex]

In functions:

[tex]f \circ\ g(x) = f(g(x))[/tex]

So, we have:

[tex]f(g(x)) = x + 2[/tex]

g(x) can be set to x and f(x) to x + 2

Hence:

[tex]F(x) = f \circ g[/tex]

When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]

Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven. How much would a taxi ride cost if Tamika is riding for 5 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer:

m= 7.50

Step-by-step explanation:

0.75x5=4.00

4.00+3.50=7.50

A taxi ride cost if Tamika is riding for 5 miles will be $7.25.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Tamika is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $0.75 per mile driven.

Let "m" be the miles Tamika is riding along.

Total additional charges = m *0.75

pick up charges = 3.50

So, Total charges Tamika has to pay for m miles = 0.75*m + 3.50

For m = 5 miles

Tamika has to pay for 5 miles = 0.75 * 5 + 3.50

Tamika has to pay for 5 miles = 7.25

Therefore, 7.25$ would a taxi ride cost if Tamika is riding for 5 miles.

Learn more about Linear Function here:

https://brainly.com/question/20286983

#SPJ2

I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.

Answers

Answer:

[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]

Step-by-step explanation:

The standardized cosine function is ;

[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]

Amplitude |A| = 2

Period [tex]\dfrac{2 \pi}{B }= 4[/tex]

2π = 4B

[tex]B = \dfrac{2 \pi}{4}[/tex]

[tex]B = \dfrac{\pi}{2}[/tex]

Midline y = 4;  D = 4

Phase shift; since no phase shift is given; then C = 0

The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]

Simplify the expression

Answers

Answer:

-9.8n + 10.9

Step-by-step explanation:

2.9 + 8 = 10.9

-4n + -5.8n = -9.8n

What is a equivalent expression to this expression?c(4a+b)

Answers

Answer: I think the answer is 4ca + cb

Answer:

The answer is 4ac+bc u have to multiply

I NEED HELP ASAP WILL GIVE BRAINLYEST

Answers

Answer: D. 25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?

Answers

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

please mark me as brainlist

How many degrees of rotational symmetry does the flower have

Answers

Answer:

It has 5-fold rotational symmetry (72 degrees). The Clematis shown has 8-fold rotational symmetry (45 degrees). It has 8 flower petals arranged around the center of the flower.

Step-by-step explanation:

Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.

The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x

Answers

D, because we already know how much he spent in total so it isnt B, trust me its D

Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x

Step-by-step explanation:

15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)

When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced

b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?

Answers

Answer:

bro how many cups fill 14 indentical water bottles

Step-by-step explanation:

question is in complete

or if I take it as x then x/14

hope it helps you

mark me as brainlist

PLEASE HELP ME!! I will give brainliest

Answers

Answer:

D

Step-by-step explanation:

It is on the positive side of the graph and the point is on 3,1

15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes​

Answers

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

         138

Step-by-step explanation:

[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]

April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?

Answers

Answer:

$40.55

Step-by-step explanation:

w is directly proportional to u if w=5 when u=3,find u when w is =2/7​

Answers

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

m + 1 = 8

But what’s the m=__

Answers

Answer:m= 7.

Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7

Answer: m = 7

Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.

In this problem, since 1 is being added to m, in order to get m

by itself, we must subtract 1 from the left side of the equation.

If we subtract 1 from the left side of the equation, remember that

we must also subtract 1 from the right side of the equation.

So on the left, +1 and -1 cancel each other out

and on the right, 8 - 1 simplifies to 7.

So m = 7.

Use the Distributive Property to find the product.

1 1/5x25=?

The product is .

Answers

Answer:

55

Step-by-step explanation:

you make 25 into its perfect square form and multiply

11÷5 x 5 x 5

Ms. Potts washed 1/4 of her laundry. Her son washed 3/7 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Answer:

Son washed moreRemaining 9/28 of the laundry

Step-by-step explanation:

Make denominators common to see the difference in fractions:

1/4 = 7/283/7 = 12/28

Son washed more laundry as 12/28 > 7/28

Together they washed:

7/28 + 12/28 = 19/28 of the laundry

Remaining part is:

1 - 19/28 = 28/28 - 19/28 =9/28 of the laundry

Step-by-step explanation:

9/28 is your answer......

Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?

Answers

Answer:

Jacob

Step-by-step explanation:

39*3 = 117

because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111

1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day

Answers

Answer:

1152 tons of grains

Step-by-step explanation:

We are told in the above question:

Total number of grains = 1440 tons of grain

On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.

Hence,

The number of grains brought in during the first day = 80% × 1440 tons

= 80/100 × 1440 tons

= 1152 tons of grains

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