the sum of two numbers is 75. the first is 9 more than 5 times the second. find the first number

Answers

Answer 1

Answer:

1st number is 64

Step-by-step explanation:

Lets start by making the words into equations.

So the 1st plus the 2nd is 75:

1st+ 2nd= 75

Now the tricky part. The 1st is 9 more than 5 times the 2nd. The key word 'times' means multiplication, we we will have 5 x 2nd somewhere in our equation. The '1st is 9 more than' part tricks us into thinking we will have 1st plus 9, BUT WE WON'T because it isn't 9 more, its 9 more THAN. This means we will get.

1st= 5 x 2nd +9

To make this a little cleaner, I will have the 1st = X and the 2nd= y.

x+y=75

x=5y+9

We can substitute the bottom equation into the top equation.

5y+9+y=75

Combine like terms

6y+9=75

Solve for Y by getting y alone.

6y+9=75

6y=66

y=11

Then we can take our value of y and plug it back into either equation to solve for X. The top equation is the easiest.

x+11=75

Isolate x to solve for x

x=64

And we established that x= the 1st number, so the 1st number is 64


Related Questions

state and prove angle sum property of a triangle

Answers

Statement:-

The sum of all the interior angles of a triangle is 180°. This is known ad the angle sum property of a triangle.

Proof :-

Consider a

A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted

Answers

Answer:

1800.

Step-by-step explanation:

If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 =  25!/ (25-2)!

= 600.

If the first number is M or P the number is the same so that makes 1800 possibilities.

Please solve with explanation will give brainliest

Answers

I hope I helped you ;)

5+8 = 13 but 8+5 = 14 explain

Answers

Answer:

Their both the same answers which is 13

Step-by-step explanation:

Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?

Answers

Answer:

107

Step-by-step explanation:

Because, 36+35=71

and 71+36=107

Answer:

107

Step-by-step explanation:

not that hard bro

What is the volume of a sphere with a radius of 4,4 cm, rounded to the nearest tenth
of a cubic centimeter?
223.8
294.4
0 299.1
O 356.8

Answers

Answer:

356.8 cm³

Step-by-step explanation:

Volume Sphere = [tex]\frac{4\pi r^3}{3}[/tex]

                          = [tex]\frac{4\pi *4.4^3}{3}[/tex]

                          = [tex]\frac{4\pi *85.184}{3}[/tex]

                          =  [tex]\frac{340.736\pi}{3}[/tex]

                          = 113.58π ≈ 356.8

-Chetan K

I’m assuming by 4,4 you mean 4.4 cm, in that case, we start of by cubing the radius, and get 85.184, then multiply it by 4/3 to get 113.58, then multiply that by pi and get 356.82 or rounded to the nearest tenth 356.8.

Jayla's dog eats 0. 78 pounds of food a day. To the nearest pound, how much does her dog eat in 7 days?.

Answers

Answer:

5.46 pounds

Step-by-step explanation:

0.78 x 7 = 5.46

Simplify.

–36 + (–74)


–110


–100


38


110

Answers

Answer: -110

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

- 36 + (-74)

- 36 - 74

- 110

<3


Please help ASAP! Only answer if you know the correct answer! Thanks :)

Answers

Answer:

49/101 minutes

Step-by-step explanation:

Your first part is correct the estimate will be 30 minutes because 5 miles divided by 10 miles per hour = 1/2 hours which is 30 minutes.

To solve the second part you need to use the numbers given first so 4 9/10 divided by 10 1/10. I find it easier to do improper fractions in this type of problem so I will do 49/10 divided by 101/10. Now you have to divide. The steps for dividing fractions are

1)Keep the First Fraction the Same.

2)Flip the second fraction over

3)Change the sign to multiplication

After the steps you will get 49/10*10/101

The denominator of the first fraction and the numerator of the second share a factor so you can cross them out. The factor they share is 10 and both numbers are ten so you can cross them out to one. Now you have 49/1*1/101

Since 49 and 101 don't share any factors you can now multiply. You get 49/101.

Help ASAP!!!!!
A. 1/4
​B. 4
C. - 1/4
​D. –4

Answers

Answer:

D. -4

Step-by-step explanation:

the length of a rectangle is (2x + 1) the width of the rectangle is (x^2 + 2x - 1). which expression represents the perimeter of the rectangle?

Answers

Answer:

(2x+1+x^2+2x-1)*2=2x^2+8x

Step-by-step explanation:

48 mouse traps/6 people = X mouse traps/1 person

Answers

Answer:

8 mousetraps

Step-by-step explanation:

to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.

Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.

Answers

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

Gramma gave me $400 for a saving account.It give me 7% interest rate every year.How much money do I have in that account in 3.5 years?

Answers

Answer:   506.8 (1dp)

Step-by-step explanation:

400 x 1.07^3.5 = 506.8  

i think this is the answer

Estimate g(14). (Use the midpoint to get the most precise estimate.)

I know how to apply the midpoint theorem, but I don't know where I should start my intervals.

Answers

We have that for the Question "I know how to apply the midpoint theorem, but I don't know where I should start my intervals." it can be said that

Where you start your intervals are at the (x,y) co-ordinate of the Reference points

From the question we are told

I know how to apply the midpoint theorem, but I don't know where I should start my intervals.

Generally the equation for the midpoint   is mathematically given as

[tex]m=\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex]

Naturally the midpoint of two point is the point in between the reference points where distances from them are equal

Therefore

Midpoints co-ordinates simply considers the co-ordinate of the two main reference points.(x,y)

Hence

Where you start your intervals are at the (x,y) co-ordinate of the Reference points

For more information on this visit

https://brainly.com/question/19007362

Help pls!!!!!!!!!!!!!!!!!!

Answers

Answer:

I can't see the file

Step-by-step explanation:

divide -b⁷ + 3b³ + 4b³ + 3b² by 2b²

plz solve this fast plz​

Answers

Answer:

[tex] - \frac{1}{2} ( {b}^{6} - 7 {b}^{2} - 3)[/tex]

See image for solution

What is the y-intercept?

Answers

Answer:

y- intercept = 4

Step-by-step explanation:

The y- intercept is the point on the y- axis where the graph crosses the y- axis

In this case that is the point (0, 4 ) , then

y- intercept = 4

PLEASE HELP ME OUT!!

Convert the following

1,000 mL = _______ L

4,500 mg = _______ g

25 cm = ________ mm

Answers

Answer:

1,000ML = 1 L

4,500MG = 4.5G

25CM = 250MM

solve pls brainliest

Answers

Answer:

257% as a decimal is 2.57

0.003 as a percentage is 0.3%

2.57 is the decimal and 0.3 percent

Explain the equivalence of 7 divided by 2 or 7/2and using words.

Answers

Answer:

so this is what i think im not sure but ot will be seven dived by two . i hope this works

Solve the following

Answers

b) x=4.5
c) x=35
d) x=13

Answer:

b) 2x=9=>x=9/2=4.5

c)x/5=7=>x=5×7=35

d)x/2=6.5=>x=6.5×2=13

A 4.8 pound box of steaks costs $31.20. What is the cost per pound of steaks?

Answers

[tex] \frac{31.20}{4.8} = \\ [/tex]

[tex]6.5[/tex]

Thus the cost of steaks per pound is $ 6.5

Easy peasy....

The cost per pound of steaks is $6.5.

What is division?

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given, a 4.8 pound box of steaks costs $31.20.

To find the cost per pound of steak:

We take the division of total cost and total pounds in weight.

That means,

Cost per pound of steaks

= 31.20 / 4.8

= 6.5.

Therefore, the cost is $6.5 per pound of steaks.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Also you have to like multiply all of the numbers or sum.

Answers

Answer:

174 m^2

Step-by-step explanation:

9 * 5 = 45

9 * 5 = 45

9 * 3 = 27

9 * 3 = 27

5 * 3 = 15

5 * 3 =15

45+45+27+27+15+15 = 174 m^2

Hope this is helpful.

Answer:

174 m²

Step-by-step explanation:

9 * 5 = 45 (that's the bottom and top areas)

9 * 3 = 27 (that's both the bigger sides areas)

5 * 3 = 15 (that's both the smaller sides areas)

Now  you have to double:

45 * 2 = 90

27 * 2 = 54

15 * 2 = 30

Now sum:

90 + 30 + 54 = 174

is -19+ square root of 14 rational or irrational

Answers

Answer:

The answer is irrational.

Step-by-step explanation:

Any whole number +/- an irrational number will be irrational as well. Since [tex]\sqrt{14}[/tex]is irrational (it can't be expressed as a ratio of 2 whole numbers) the answer will also be irrational because you are adding it to 19 (a whole number).

GUYS PLEASE HELP!!!! NO LINKS!
Why is an egg a good model of a cell?

Answers

Answer:

The egg which we eat is not a single Ovum (egg cell), but an ovum with a nutrient sack (the yolk) suspended in a nutrient protein broth (the egg white). In fairness, the egg yolk is connected to the ovum, so it could be construed as one cell, but the functioning cell part is microscopic.

Solve the Quadratic equation
8n²-56=48n

Answers

Answer:

n = {-1, 7}

Step-by-step explanation:

8n² - 56 = 48n

Subtract 48n from both sides

8n² - 48n - 56 = 0

Divide both sides by 8

n² - 6n - 7 = 0

Factor

alternately use the quadratic equation or complete the square

(n - 7)(n + 1) = 0

n = {-1, 7}

help me plz i have 5 more

Answers

Answer:

1343

Step-by-step explanation:

A automobile manufacture can put together 7 cars in 2 day. How many cars can be produced in 12 days.

Answers

Answer:

147

Step-by-step explanation:

ADD IT

round 49.07583 to the nearest place value given; tenth, hundredth, thousandth ten-thousandth, unit?

Answers

Answer:

tenth- 49.1

Hundredth- 49.08

thousandsths- 49.076

ten-thousandths- 49.0758

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