The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and let y represent the second number. What are the two numbers? Use the table to guess and check.

Numbers
x
y
x + y = 85
y = 2 x + 4





19 and 65
25 and 60
27 and 58
32 and 53

Answers

Answer 1
No need to guess, just math!

x + y = 85, so x = 85 - y
Let’s substitute this in the second equation

y = 2(85 - y) + 4
y= 170 - 2y + 4
3y = 174

y = 58

x = 85 - 58 = 27
[third option from the top]
Answer 2

Answer:c

Step-by-step explanation: took the test


Related Questions

Jim has 1/3 of a box of cereal. He eats 1/3 of the remaining cereal. What fraction of the original whole box of cereal did Jim eat?

Answers

Pretty sure it’s 1/9
1/3 = 3/9
1/9 is 1/3 of 1/3
Answer= 1/9
it’s 1/9th because 1/3 of 1/3 is 1/9th

has the lowest unit price?
A. 20 oz: $9
B. 16 oz: $7.39
ch proportion.
C. 12 oz: $5.29
D. 5 oz: $2.39

Answers

I think the answer is D

I need help, i cant use calculator

Answers

Answer: True.

Step-by-step explanation:

This inequality is ALWAYS true.

Hope this helps!

find the largest prime factor of 2820

Answers

Answer:

47

Step-by-step explanation:

2820 = 2 * 2 * 3 * 5 * 47

Prime factors:

2, 3, 5, 47

Largest prime factor:

47

Step-by-step explanation:

The largest prime factors of 2820 is 2*2*3*5*47 is the answer

Help me find X and explain the process please.​

Answers

Answer:

x=23

Step-by-step explanation:

10*18=9*(x-3)

180=9x-27

207=9x

x=23

I may be wrong its been a long time doing this problem.

When computing a correlation coefficient, if you have 55 degrees of freedom, your sample size must be ______. Group of answer choices 56 57 54 58

Answers

Considering that you have 55 degrees of freedom, your sample size must be of 56.

What is the amount of a degrees of freedom in a sample?

It is given by one less than the sample size.

In this problem, you have 55 degrees of freedom, hence:

n - 1 = 55

n = 56.

Your sample size must be of 56.

More can be learned about degrees of freedom at https://brainly.com/question/16162795

#SPJ1

A bottle of vitamins has 90 capsules in it. Each capsule has 450 milligrams of the supplement. What is the total number of grams of the supplement in one capsule?

Answers

The total number of grams of the supplement in one capsule will be 0.45 grams.

What is unit conversion?

The measurement of any quanity is expressed by its unit. Now the units for the same matter can be expressed in different ways for higher quanity or lower quanity so we need to convert the units for the calculations.

Here in the question

Each capsule has 450 miligrams of supplement.

Total grams in one capsule will be calculated by unit conversion

[tex]\rm 1 \ gram=1000\ miligram\\\\\\1 \ Mg=\dfrac{1}{1000}\ gram\\\\\\450\ Mg=\dfrac{450}{1000}\ gram\\\\\\450 Mg=0.45\ gram[/tex]

Hence the total number of grams of the supplement in one capsule will be 0.45 grams.

To know more about Unit conversion follow

https://brainly.com/question/21196956

#SPJ1

A book bag was bought on a 45% off sale for $65.87. What was the original price rounded to the nearest cent.

Answers

Answer: 119.76 approx to 119.8

Step-by-step explanation:

55 % = 65.87

1% = 65.87/55

100% = 65.87/55 × 100/1

4. Find the area of the circle. Round to the nearest tenth. Us 34 in. can anyone help/answer?​

Answers

Answer:

907.9 in²

Step-by-step explanation:

D = 2r

r = D/2

r = 34/2

r = 17 in

A = πr²

A = π(17)²

A = 289π

A ≈ 907.9 in²

75-90 divided by 6 HELP ME ASAP PLS

Answers

.833333333333 is the answer

Find the y-intercept of the line: 2x + 4y = 8

Question 2 options:

(2,4)


(0,2)


(4,0)


(4,2)

Answers

Answer:

(4, 0)

Step-by-step explanation:

2x + 4y = 8

x-intercept when y = 0

2x = 8

x = 4

so x-intercept (4, 0)

:) hole this helps

The number of weeds found growing along the side
number
of a new highway each month forms the sequence whose general term is a, = (n + 1)(n +4), where n is the
of the months. Find the number of weeds found in the fifth month, and find the total number found in the first five months.
How many weeds were found in the fifth month? 54
How many weeds were found during the first five months? _

Answers

270 = 54 x 4 Hope you have great day!

Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startfraction 10 over 2.4 endfraction sin(x) = startfraction 10 over 10.3 endfraction sin(x) = startfraction 10.3 over 10 endfraction

Answers

The equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

SOH CAH TOA identity

The identity is used to find the measure of sides and acute angles of a right triangle

From the diagram shown, <ABC is the reference abgle hence;

Opposite side = 2,4cm

Hypotenuse .=10.3cm

According to the identity

sin x = opp/hyp

sinx = 2.4/10.3
sinx = 0.233

x =  13.47 degrees

Hence the equation can be used to solve for the measure of angle abc is sinx = 2.4/10.3

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Answer: tan(x) = 2.4/10.3

Step-by-step explanation:

I saw the answers

The area of a circle is 9π ft What is the circumference, in feet? Express your answer in terms of \piπ. (pi)

Answers

Answer:

6×pi ft

Step-by-step explanation:

the area of a circle is

pi × r²

with r being the radius of the circle.

so,

9×pi = r² × pi

9 = r²

r = 3 ft

the circumference of a circle is

2×pi× r

that means in our case it is

2×pi×3 = 6×pi ft

Find the approximate value of g(6) for the function below.
g(x) = e^x - 139

A. 403.43
B. -8.61
C. 4.98
D. 264.43

Answers

Answer:

The answer is letter B

-8.61

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

A. 403.43

I hope it's help

If the rent of flat is Rs. 3,60,000 for one year, find the monthly rent of the flat.

Answers

The division is one of the four fundamental arithmetic operations. The rent of the flat for each month will be Rs. 30,000.

What is Division?

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the rent of the flat for one year is Rs. 3,60,000. Since a year has 12 months. Therefore, the rent for each month will be,

[tex]\rm \text{Rent for one month} = \dfrac{Rs.\ 3,60,000}{12} = Rs.\ 30,000[/tex]

Hence, the rent of the flat for each month will be Rs. 30,000.

Learn more about Division:

https://brainly.com/question/369266

#SPJ1

PLS HELP ASAP! (show work)

Solve the compound inequality.
3 < 2x − 1 < 9

Answers

Answer: x = 2

Step-by-step explanation:

Thang decided to borrow ​$7000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 6​%. How much interest will Thang​ pay?

Answers

Answer:

$420

Step-by-step explanation:

The price of a computer is marked down from $550 to $484 for a sale. The
following week, the computer is marked down again by the same percent as
during the week before. How much lower than the original price is the price after
the second markdown?
A $425.92
C
$124.08
B $132.00
D
$58.08

Answers

Answer:

A) $425.92

Step-by-step explanation:

The new price percentage with relation to the previous can be determined by dividing [tex]p = \frac{484}{550}[/tex]. Once we calculate p, we can multiply it by 484, which is equivalent to applying the same discount, thus [tex]\frac{484}{550}484=425.92[/tex]

Find the standard deviation, correct to 2 decimal places.

Data Set: 10, 12, 12, 16, 24

Mean 14.8

Answers

Answer:

5

Step-by-step explanation:

Step 1: Mean

           10+12+12+16+24

           =74/5

           =14.8

Step 2: Standard Deviation

             Formula----- square root of varieance

             23.04+7.84+7.84+1.44+84.64/5

            124.8/5

             24.96

             [tex]\sqrt{24.96}[/tex]

            4.996

            5

Flaming bbq restaurant makes a dipping sauce

Answers

Yes it does because it needs bbq sauce or the customers will get mad

Tell me the answer please 6*5=

Answers

Answer:

6*5=30

Step-by-step explanation:

Answer: 30

Step-by-step explanation: it means multiply 6 by 5

(Pls help ASAP) (Willing to give 15 points for 2 answers) (Pls don't answer if you don't know)



The second one you have to choose GREATER THAN, LESS THAN, OR EQUAL TO

Answers

Answer:

what is intercept: intercept simply means a point on the y axis through which a slope passes and also in the equation you were given y = mx + c I mean y = 2x -2 the c is the intercept meaning -2 .

so wherever that straight line meets with with y axis the number at that very point is your intercept.

the y intercept for the first one is -2

and it's "less than" since it's a negative number.

Step-by-step explanation:

Hope this helps.

Good luck✅.

a train traveled 162 miles in 3hours. At that rate, how many miles will the train travel in 1/3 hour?

Answers

Answer:

18 miles

Step-by-step explanation:

162 ÷ 3 × ⅓ = 18 miles

Hope this helps =)

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 39

Step-by-step explanation:

all triangles have angle measures that add up to 180°.

This means that to find what x is, you add 102 and 39, and then subtract that from 180, so

180-(102+39) = x

180-141=x

39=x

Answer:

x° = 39°

Step-by-step explanation:

According to the angle sum property of triangles, the 3 angles in a triangle will sum up to 180°.

102° + 39° + x° = 180°

141° + x° = 180°

x° = 180° - 141°

x° = 39°

_________

Hope it helps ⚜

Which of the following points lie in the solution set to the following system of inequalities?

y < −3x + 3
y < x + 2

(1, −5)
(1, 5)
(5, 1)
(−1, 5)

Answers

Answer:

(1, −5)

Step-by-step explanation:

Because in this case it is less than and the -3x would be cancelled out and I had this question and that correct answer was A(1,-5).

Hope this helps:)

Answer:

the answer is (1,-5)

Step-by-step explanation:

plug in the x and y values and see if they are true

y<-3x+3

(-5)<-3(1)+3

-5<-3+3

-5<0 is true

y<x+2

(-5)<(1)+2

-5<1+2

-5< 3 is true also

Write an equation and solve it. Anything goes as long as you address the following points:
a. The equation must start with an 'x' variable in an exponent. B. The equation must require logarithms to solve. C. In the solution you must use the power rule, the product rule and the quotient rule at least once each. D. Explain each step as you solve; which rules are you using and why?
e. What challenges did you face as you were writing your problem? Did you run into any dead ends?

Im having trouble thinking up an equation that uses all three rules. The power rule, the product rule, and the quotient rule. I can create one that uses 2 but i cant quiet imagin 3. Im probably just not thinking about it in the right way but any help would be appreciated.

Answers

The equation is  4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where 'a' is a constant and a>1

After following the rules to model the equation.

The equation becomes:

[tex]\rm 4^3^x= 8^{1/x}\times 2^{x+3}[/tex]

After solving, we get:

[tex]2^{6x}= 2^{3/x \ +x+3}[/tex]  (power rule)

Taking log on both sides with base 2

[tex]\rm log_2(2^{6x})= log_2(2^{3/x \ +x+3})[/tex]

After solving, we will get a quadratic equation:

[tex]\rm 5x^2-3x-3 = 0[/tex]

After using quadratic formula, we will get,

[tex]\rm x=\dfrac{3+\sqrt{69}}{10}[/tex] or

[tex]\rm x=\dfrac{3-\sqrt{69}}{10}[/tex]

Thus, the equation is  4^{3x} is equal to 8^{1/x} 2^{x+3} and the values of x are x is equal to (3+√69)/(10) or x is equal to (3-√69)/(10)

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

What value of k is the expression x^4+kx^2+36 a perfect square?

Answers

[tex]\text{ The discriminant is 0 if the quadratic expression is a perfect square.}\\\\~~~~~b^2 -4ac =0\\\\\implies k^2-4\cdot 1 \cdot 36 = 0\\ \\\implies k^2 - 144 = 0\\\\\implies k^2 = 144\\\\\implies k = \pm\sqrt{144}\\\\\implies k= \pm12\\\\\text{Hence}~ k=12 ~\text{and}~ k=-12.[/tex]

Need help! Its For Khan Academny

Answers

Answer:

Your 3 answers are

A) y=0.25xC) GraphE) Table

Step-by-step explanation:

If you were to graph them and compare the original graph they are exactly the same.

A) y=0.25x is the same thing as y= 1/4 * x

slope m is 1/4 on the original graph and given decimal form.

C) Is the same graph but the point given is at (4,1)

E) is the points between 6<x<8 and 1.5<y<2 as the original graph.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i odnt know use ur fingers or a calculator

Step-by-step explanation:

Other Questions
How are the international efforts at reducing resource and ecological depletion similar? Which algebraic expressions are binomials? Check all that apply Which equation represents a line which is parallel to the line x-8y = 48? Advantages and disadvantages of each cell division These structures contract to close a bivalve and keep its soft body safe. Which situation will yield variability?A. How many days are in June?B. How many minutes the avengers movie lasts?C. How many texts do you receive each month?D. How fast the speed limit is on Grand parkway?I will give brainliest Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 72m. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer. What is the volume of a right circular cylinder with a radius of 4 m and a height of 4 m? 8 m 16 m 64 m 256 m 3 ( 8) = 3x 24 No Solution Infinite Solutions X = -16 D x = 0 The ________ documents the portion of work to be purchased, in enough detail so potential suppliers can decide if they feel they are capable of and interested in providing it. Can anyone solve this correctly? Phoebe works for a company that advertised an annual increaseof 5% to an employee's hourly pay. When Phoebe went to signher contract with the company, she noticed that her boss hadindicated that she would receive an annual increase of$0.75 per hour. please help its for a test What was a U.S. response to the terrorist attacks of September 11, 2001?A.) Support one terrorist group in exchange for its willingness to attack another.B.) Persuade Israel to attack al-Qaeda in Iraq.C.) Attempt to gain United Nations intervention.D.) Start military action in Afghanistan. An electron has a mass of 9.109 x 10^{-31} kg. a positron is a positively charged particle with the same mass as an electron. when an electron and positron collide, they annihilate to convert all their mass into energy. . how much energy is released by the reaction of 1.00 mole of electrons and a positrons? select the closest answer. sergio needs 2/4 cup of bluederries for each batch of 4. If everything lines up perfectly for superposition to occur, these massive waves would break with a force of 100metric tons per m. She compares this to how much force standing on a car? Is it who ( wants ) or ( want ) these for free? What part of a neuron cell relays signals between neurons, or from a neuron to the target tissue?. Find the sum of 6x^2+10x-16x 2 +10x1 and -5x^2-2x+15x^2 2x+1. Ben spent 1/6 of his money on a burger, fries, and a drink. Then he spent half of the money he had left: $5 on a magazine, $8.25 on a bookmark, and $10.50 on a book. How much money did he have to begin with?Please answer asap and please explain your answer.