the sum of four times a number and another number is 10. The difference of the two numbers is 35. What is the larger number? Also please explain how you got that answer

Answers

Answer 1

Answer:

The two numbers are 9 and -26.

The larger number is 9.

Step-by-step explanation:

Let the two unknown numbers be x and y.

The sum of a four times a number x and another number y is 10. Hence:

[tex]4x+y=10[/tex]

And the difference between the two numbers is 35. So:

[tex]x-y=35[/tex]

So, we have the system of equations:

[tex]\left\{ \begin{array} \ 4x+y=10 \\ x-y=35 \end{array}[/tex]

From the second equation, we can add y to both sides:

[tex]x=y+35[/tex]

Now, we can substitute this into the first equation:

[tex]4(y+35)+y=10[/tex]

Distribute:

[tex]4y+140+y=10[/tex]

Simplify:

[tex]5y+140=10[/tex]

Subtract 140 from both sides:

[tex]5y=-130[/tex]

Divide both sides by 5:

[tex]y=-26[/tex]

So, the value of y is -26 .

Then it follows that the value of x is:

[tex]x=y+35[/tex]

Substitute -26 for y:

[tex]x=-26+35=9[/tex]

So, our two numbers are 9 and -26.

The larger number is 9.

So, our answer is 9.

Answer 2

Answer:

Yup answers 9

Step-by-step explanation: just took the test


Related Questions

Which one does not belong?
a. 10 miles per 2 hours west
b. 33 km/s north
c. coming to a stop
d. 9 m/s upward

Answers

Answer:

i would think that the answer is c. coming to a stop

Answer: C doesn’t belong

is -33 a whole number?​

Answers

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

F(5)=-3x+10 what will the domain and range be

Answers

f= -3/5 x+2. Hope this helps

Evan's favorite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate. How long did Evan spend making paper cranes today?

Answers

Answer:

Step-by-step explanation:

30

Answer:

200

Step-by-step explanation:

A store pays $10 for each video game. The store’s percent of mark up is 20%. Which shows the retail price of the video game?

Answers

Answer:

$12

Step-by-step explanation:

In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA?

Enter your answers in alphabetical order.

Answers

Answer:

The additional information to show ΔABC ≅ ΔDEF by ASA is [tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]

Step-by-step explanation:

The given parameters in the figure are;

Angle m∠BAC is congruent to angle m∠FDE

Angle m∠ABC is congruent to angle m∠FED

Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;

The additional information to show ΔABC ≅ ΔDEF by ASA is [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] which can be written as [tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex].

Answer:

         ~            

AB      =    CD

Step-by-step explanation:

4(14-5)²÷2
HELP ASAP TY

Answers

Answer:

I think it's 162.

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

Following PEMDAS

4(14-5)^2 ÷2

4(9)^2 ÷ 2

4(81) ÷2

324÷2

162

PLEASE HELP AS SOON AS POSSIBLE WILL GIVE BRAINLIEST

Simplify the expression (x^3-5x^2+7x-12)/(x-4) using long division. Show your work.

Answers

Answer:

Step-by-step explanation:

         x^2 - x +3

        ___________

  x-4 | x^3-5x^2+x-12

        | x^3-4x^2

        |__________

        |        -x^2 +x

        |        -x^2+4x

        | __________

        |                -3x -12

                         -3x-12

        |____________

                       0

If the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

What is meant by an expression?

An equation is not the same as a mathematical expression. Expressions represent a group of integers, as opposed to equations, which represent a single number.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

The mathematical procedure for dividing large numbers into numerous smaller groups or parts is known as long division. The dividend is the number we divide into smaller groups, and the divisor is the number by which we divide. A problem can be solved by breaking it down into manageable steps.

Let the expression be (x³ - 5x² + 7x - 12) / (x-4)

[tex]$x^3-5 x^2+7 x-12=(x-4)\left(x^2-x+3\right)$[/tex]

simplifying the above equation, we get

[tex]$=\frac{(x-4)\left(x^2-x+3\right)}{x-4}$[/tex]

Cancel the common factor: x - 4

= x² - x + 3

Therefore, if the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.

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Is the relation shown in the arrow diagram a function? Justify your answer.

Answers

Answer:

NO

Step-by-step explanation:

For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.

This means, in a function, an input value cannot give you two different outputs.

Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.

Jeremy bought a $60 pair of sneakers on sale for 15% off. Then, he used a coupon that gave him an additional 10% off. Can Jeremy find the cost of the sneakers by adding the percents? Why or why not?

Answers

Answer:

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Step-by-step explanation:

Step one:

given data

cost of sneakers= $60

Required

the cost of the sneaker after the two discounts

Actually, the two percents given are the discount of the sale.

the first discount is

15%= 15/100*60

=0.15*60

=$9

The second is 10% coupon

10/100*60

=0.1*60

=$6

The total discounts = 9+6= $15

The cost of the sneakers= 60-15= $45

Jeremy find the cost of the sneakers by solving for the values of the 10% in dollars and subtracting the dollar amount from the cost of the sneaker

Jerry gets price quotes from two different pool cleaning services for the cost of cleaning the pool. Company A charges $7 plus an additional $3 per hour. Company B charges $10 plus an additional $2 per hour. The total price quote for each company is the same amount. How many hours do the companies estimate it will take to clean the pool?

Answers

Answer:

3 hours

Step-by-step explanation:

Step one:

given data

price quotes from Company A

charges= $7

additional charges per hour= $3

let the number of hours be x

and the total be y

the linear function for the total is

y=3x+7

price quotes from Company B

charges= $10

additional charges per hour= $2

let the number of hours be x

and the total be y

the linear function for the total is

y=2x+10

if the total quote is the same , then

3x+7=2x+10

solve for x, collect like terms

3x-2x=10-7

x=3 hours

will mark brainliest ​

Answers

Answer:

[tex]x\geq -6[/tex]

Step-by-step explanation:

If we graph it, we see that the function exists when [tex]x\geq -6[/tex]. Not sure what more I can say.

I hope this helps!

Answer:

D

Step-by-step explanation:

The domain must not let 1/3 x + 2 go less than 0. So equate this binomial to  0 and then use the < or > symbol to indicate what the minimum value is.

1/3 x + 2 = 0      Subtract 2 from both sides

1/3 x = - 2          Multiply 3

3(1/3) x = - 2 * 3

x = - 6

So if x is less than - 6 the binomial will go negative and that is not a permitted value at this level.

So x must be - 6 or bigger.

Let's see what happens when x = - 6

1/3 ( - 6) + 2

-2 + 2

0

That's the minimum value for the domain.

Now try - 9

1/3(-9) + 2

- 3 + 2 = -1

That means you will have √-1 which does not exist in the rational world.

Now try x = 9

1/3 (9) + 2

3 + 2 = 5    which is fine.

So the answer you seek is x ≥ -6

What is the slope of the line through (6,9) and (7, 1)

A. - 1 over 8

B. -8

C. 1 over 8

D. 8

Answers

Answer:

B

Step-by-step explanation:

The  y values minus each other over the x values minus each other

Solve these. PLEASE HELP IM GIVING 40 POINTS

Answers

Answer:

1. x=1

2. x=-1

3. No solution

4. x=2

5. x= -6

Step-by-step explanation:

If Sarah bought 3 pounds of apples for $6.75 and Carlos got 2 pounds of apples for $4.52,who paid less per pound and got the better deal Sarah or Carlos?

Answers

Answer:

Sarah

Step-by-step explanation:

6.75/3 is the total for one pound . This = 2,25 while calros' 4.52/2 = 2.26. sarah paid one cent less, getting a better deal than carlos

For khan academy . Need answer immediately

Answers

Answer:

y = -2x+2

Step-by-step explanation:

Answer:

y = -2x+2

Step-by-step explanation:

this question is about Ratio tables help I'm struggling​

Answers

10.5/5 = 2.1 trees per cabin
3 * 2.1 = 6.3 trees for 3 cabins
7 * 2.1 = 14.7 trees for 7 cabins

Answer:

Step-by-step explanation:

fguyy

9y+8y+4Y=5y-16 helpppppppppp

Answers

Answer:

Y=1

Step-by-step explanation:

9y+8y+4Y=5y-16

21y-5y=16

16y=16

Y=16/16

Y=1

So value of Y is 1

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples. How much money does the student spend at lunch, in dollars and cents?

Answers

Answer:4.75

Step-by-step explanation:

do the math all you will get what i got

The student spends at lunch 4.75 dollars or 475 cents.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Now,

Since, A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.

Hence, The amount of total money in dollars is,

⇒ $1.85 + $1.15 + $0.65 + $1.10

⇒ $4.75

We know that;

⇒ 1 dollar = 100 cents

Hence, we get;

⇒ 4.75 dollars = 4.75 × 100

                       = 475 cents

Thus, The student spends at lunch 4.75 dollars or 475 cents.

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A car travels at a constant speed of 58 miles per hour. Which equation can be used to find m, the total number of miles the car travels, in h hours?​

Answers

Answer:

58xH=M

Step-by-step explanation:

here is an example car traveles 58mph how many miles in 3 hours

58x3=174mph

The required equation that represents the number of miles the car traveled in h hours is m = 58h.

Given that,
A car travels at a constant speed of 58 miles per hour. Which equation can be used to find m, the total number of miles the car travels, in h hours is to be determined.

What is Distance?

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
As, per the question,
Distance = speed × time
From the given,
Distance = m
Speed = 58 mile / hour
Time = h (in hours)
So,
m = 58 × h
m = 58h

Thus, the required equation that represents the number of miles the car traveled in h hours is m = 58h.

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If the value of 2x^3 is 2, then what is the value of ?

Answers

Answer:

34

Step-by-step explanation:

34

The value is 34.
Hope this helps

A roller skating rink charges a flat rate of $5 to rent skates, plus $2.50 per hour to skate. You rent skates and skate for 3 hours. If you pay with a $20.00 bill, how much change do you get back?

Answers

Answer:

$7.50

Step-by-step explanation:

First, you multiply 3 and $2.50 (because you skate for 3 hours and it's $2.50 per HOUR to skate) 3 x 2.50 is $7.50 plus the flat rate of $5 is $12.50. So, your total altogether would be $12.50. So if you pay that total with $20, you have to subtract 12.50 from 20. 20 - 12.50 is $7.50. Your change will be $7.50. I hope this is correct! So sorry if it isn't!

Answer:

7.5

Step-by-step explanation:

First, you multiply 2.50 x 3. The answer to that is 7.50. Add on the renting skates, that is 12.50. Then, you subtract 12.50 from 20.00. The answer is 7.5.

what is the answer to this? what does a equal?−6(−4+5)=−30+6

Answers

Answer:

I guess it would be 36?

Step-by-step explanation:

Find the slope of the line that passes through (8,10) (1,1)

Answers

Answer:

9/7

Step-by-step explanation:

slope m= rise/run= (y2-y1) / (x2-x1)

m= 10-1/8-1 = 9/7

Light travels about 186,000 mi/s.The function d(t)=186,000t gives the distance d(t),in miles, that light travels in t seconds. How far does light travel in 25 s

Answers

Answer:

5,580,000 miles

Step-by-step explanation:

d (30)= 186,000 x 30

7. Diane flew home from vacation with a heavy bag. With the first airline she 1 point
flew, Diane had to pay $14 to check her bag, plus $26 for every kilogram
that her bag was over the weight limit. The next flight was with another
airline that had the same weight limit. Diane had to pay $9 per kilogram
that her bag was over the weight limit, in addition to the checked bag fee
of $31. By coincidence, the fees ended up being the same with both
airlines. Write a system of linear equations to represent the situation. *
Your answer

Answers

Answer:

80

Step-by-step explanation:

Convert 3, into an improper fraction.

Answers

Answer:

3 5/9

Step-by-step explanation:

Answer:

30/10. An improper faction is a fraction with a numerator higher than the denominator. 3/1 is 3 in fraction form, multiply by 10, and you get 30/10. It would also have worked if you just answered 3/1 but hey!, we like to go above and beyond, right?

which function is equivalent to h(x)=10x^(2+9x-1)

Answers

Answer:

h(x) = (10x - 1)(x + 1)

Step-by-step explanation:

Given

h(x) = 10x²+9x-1

Required

Get its equivalent

To do this, we simply factorize h(x)

We have that:

h(x) = 10x²+9x-1

Expand

h(x) = 10x² + 10x - x - 1

Factorize

h(x) = 10x(x + 1) -1(x + 1)

This gives:

h(x) = (10x - 1)(x + 1)

Hence, the equivalent of h(x) = 10x²+9x-1 is h(x) = (10x - 1)(x + 1)

Answer: h(x) = (x+1) (10x-1)

Step-by-step explanation: I got it correct

Find the value of x and y


Please help me. Thank you​

Answers

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

[tex]\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ[/tex]

z+x=60

40+x=60

x=60-40=20°

Put the following in order from least to greatest .
98.9 90.9 .09 90.89
Place answer here:


Put the following in order from least to greatest
67.03 67.33 .09 .87
Place answer here:

Answers

90.89, 90.9, 98.9, .09

67.33, 67.03, .87, .09
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