the product of two positive integers is 490 if the first integer is 7 greater than twice the second integer, what is the smaller of the two integers

Answers

Answer 1

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Answer: The second integer is smaller

x = 161

Explanation:

2x + 7 + x= 490

3x + 7 = 490

x = 161

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆


Related Questions

Can you help me solve this question

Answers

Answer:

t = 32

Step-by-step explanation:

The given equation is :

[tex]24=\dfrac{3}{4}t[/tex] ....(1)

Where

t is the number of guests attending the catered event.

The reciprocal of [tex]\dfrac{3}{4}[/tex] is [tex]\dfrac{4}{3}[/tex].

Multiplying both sides by the reciprocal of [tex]\dfrac{3}{4}[/tex].

[tex]24\times \dfrac{4}{3}=\dfrac{3}{4}\times \dfrac{4}{3}t\\\\t=8\times 4\\\\t=32[/tex]

Hence, 32 guests will attend the catered.

PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)


(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.

x2 − ______+ 36



Write in factored form: ( )2

Answers

Answer:

x² - 12x + 36

factored: (x - 6)(x - 6)

(5+2×8)/6=x(4+6) what is the value of x ?​

Answers

Answer:

Step-by-step explanation:

Answer:

x= 7/20

Step-by-step explanation:

(5+2×8)/6=x(4+6)

(5+16) /6 = 4x+6x

21/6=10x (divide 21/6 by 3)

7/2=10x

7/2×1/10= x

x= 7/20

Hope this helps :)

Keep Smiling

PLEASE HURRY PLEASE :(

Answers

Answer:

Step-by-step explanation:

height after x seconds = -16x² - 2x + 600

-16x² - 2x + 600 = 450

16x² + 2x - 150 = 0

8x² + x - 75 = 0

Quadratic formula

x = [-1 ± √(1² – 4·8(-75))] / [2·8]

 = [-1 ± √2401] / 16

 = [-1 ± 49] /16

 = 3, -3⅛

-3⅛ is an extraneous solution, so x = 3 seconds.

12. The value of 0.23 +0.22 is​

Answers

Answer:

0.45

Step-by-step explanation:

I hope this helps :)

Answer:

x= 0.2323 1

10x =2.323 2

100x= 23.23 3

on subtracting 1 from 3

99x= 23

x = 23/99

similarly 0.22 will be 22/ 99

so by adding 23/99 and 22/ 99 we get required value

23/99 + 22/99 = 45/ 99

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [0, 2]. There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is continuous on [0, 2] but not differentiable on (0, 2). Yes, f is continuous and differentiable on , so it is continuous on [0, 2] and differentiable on (0, 2) . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).

Answers

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) [tex]c =0.51995[/tex]

Step-by-step explanation:

Given

[tex]f(x) = e^{-4x};\ [0,2][/tex]

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

[tex]f(x) = e^{-4x};\ [0,2][/tex]

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

[tex]f'(c) = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex][a,b] = [0,2][/tex]

So, we have:

[tex]f'(c) = \frac{f(2) - f(0)}{2 - 0}[/tex]

[tex]f'(c) = \frac{f(2) - f(0)}{2}[/tex]

Calculate f(2) and f(0)

[tex]f(x) = e^{-4x}[/tex]

So:

[tex]f(2) = e^{-4*2} = e^{-8} = 0.00033546262[/tex]

[tex]f(0) = e^{-4*0} = e^{0} = 1[/tex]

This gives:

[tex]f'(c) = \frac{0.00033546262 - 1}{2}[/tex]

[tex]f'(c) = \frac{-0.99966453738}{2}[/tex]

[tex]f'(c) = -0.4998[/tex]

Note that:

[tex]f'(x) = (e^{-4x})'[/tex]

[tex]f'(x) = -4e^{-4x}[/tex]

This implies that:

[tex]f'(c) = -4e^{-4c}[/tex]

So, we have:

[tex]f'(c) = -0.4998[/tex]

[tex]-4e^{-4c} =-0.4998[/tex]

Divide both sides by -4

[tex]e^{-4c} =\frac{-0.4998}{-4}[/tex]

[tex]e^{-4c} =0.12495[/tex]

Take natural logarithm of both sides

[tex]\ln(e^{-4c}) =\ln(0.12495)[/tex]

[tex]\ln(e^{-4c}) =-2.0798[/tex]

Apply law of natural logarithm

[tex]\ln(e^{ax}) =ax[/tex]

So:

[tex]-4c =-2.0798[/tex]

Solve for c

[tex]c =\frac{-2.0798}{-4}[/tex]

[tex]c =0.51995[/tex]

please help!!!
i would really apreciate it

Answers

Answer:

it should be the graph on the bottom right

Step-by-step explanation:

The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")

The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.

after selling 8 quilts her income will be higher than her costs

(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).

with all of these reasons combined the correct should be the one on the bottom right

When you reflect an ordered pair over the origin, what happens to the order pairs?
A The x value stays the same and the y changes.
The y value stays the same and the x changes.
The value for both the x and the y changes.
0 Nothing

Answers

Answer :A

explaination: when we reflect an ordered pair over the origin, we can it write like this (0,y)

{y; 0<y<infinite }

ex: (0,1)

(0,2)

(0,3) etc

Select the right one that shows an isosceles right triangle.

Answers

Answer:

A or top left

Step-by-step explanation:

Isosceles triangles should have a perpendicular bisector from an angle to the opposite base.

The top left has that factor.

help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong

Answers

9514 1404 393

Answer:

  5/8 or 5/9

Step-by-step explanation:

The fraction will be exactly ...

  5/(8 1/2) = 10/17   ⇒   (8 1/2)×(10/17) = 5

__

The fraction will be approximately ...

  5/8 or 5/9

The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...

  (8 1/2) × (5/denominator) ≈ 5

  (8 1/2)/(denominator) ≈ 1 .  . . . . . . . divide by 5

If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.

  (8 1/2) × (5/8) = 5.3125 ≈ 5

  (8 1/2) × (5/9) = 4.722... ≈ 5

Either 5/8 or 5/9 will give a product of about 5.

Answer:

Step-by-step explanation:

3 x ( 15 - 11 ) + 6= ?
help help help

Answers

Answer:

12x + 6

Step-by-step explanation:

The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10

Answers

I will upload a file for the explanation

Is the following relationship a function?

Answers

Answer:

yes it's a inverse function

Answer:

Yes it is

Step-by-step explanation:

To remeber, if none of the lines overlap or crosses each other, its a function.

A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 22% of the employees needed corrective shoes, 29% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work

Answers

Answer:

0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work

Step-by-step explanation:

I am going to solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Employee needed corrective shoes.

Event B: Employee needed major dental work.

22% of the employees needed corrective shoes

This means that [tex]P(A) = 0.22[/tex]

29% needed major dental work

This means that [tex]P(B) = 0.29[/tex]

3% needed both corrective shoes and major dental work.

This means that [tex]P(A \cap B) = 0.03[/tex]

What is the probability that an employee selected at random will need either corrective shoes or major dental work?

This is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Replacing the values that we have:

[tex]P(A \cup B) = 0.22 + 0.29 - 0.03 = 0.48[/tex]

0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work

Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.

Answers

Answer:

keiko- x

imelda- x+ 36

Sarah- x- 38

Step-by-step explanation:

keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.

Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?

Answers

Answer:

15 dollars each pizza

Step-by-step explanation:

2 pizzas (15 + 15 = 30)

30 + 6 = 36

Answer:

15

Step-by-step explanation:

15+15=30+6 =36

Joelle wears a uniform to school. These are the uniform pieces she has:
Skirts Tops Sweaters
tan white blue
blue
red
white
brown blue
Each day she wears a skirt, a top, and a sweater.
How many combinations of one skirt, one top, and one sweater can she make?
A. 3
B. 8

Answers

B-8
This is correct because when I put all the combinations so this is why I licked this answer ;)

What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3

Answers

Answer: C

Step-by-step explanation:

In a bowl, there are gum balls. There are 5 red, 7 blue, 3 yellow and 11 purple.
What is the ratio of the following?
10. Purple to Red _____
11. Blue to Yellow _____
12. Yellow to Red _____
13. Purple to Blue _____
A. 11 to 5
B. 11 to 7
C. 3 to 5
D. 7 to 3

Answers

Answer:

10 is A

11 is D

12 is C

and 13 is B

Compare and contrast expanding and simptying
algebraic expressions with simplifying numeric
expressions. For example, compare simplifying 3(x - 2) +
(x - 1) with 3(5 - 2) + (5 – 1)

Answers

Answer:

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

Step-by-step explanation:

Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!

Answer:

Algebraic expressions have terms, Terms must be like to add and subtract,    You can’t always follow the order of operations with algebraic expressions.

Step-by-step explanation:

In ΔSTU, the measure of ∠U=90°, the measure of ∠S=16°, and TU = 5.9 feet. Find the length of ST to the nearest tenth of a foot.

Answers

5.9/sin16=ST ST= 21.4

Answer:

21.4

Step-by-step explanation:

Can someone please explain the answer step by step pls.

Answers

Answer:

a) x= 29, y= 87

b) x= 19, y= 45

Step-by-step explanation:

Q5. a) Let the first number be x and the second number be y.

The sum of 2 integers is 116.

x +y= 116 -----(1)

The second number is three times the first number.

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 116

4x= 116

x= 116 ÷4

x= 29

Substitute x= 29 into (2):

y= 3(29)

y= 87

b) Let the smaller number be x and the larger number be y.

x +y= 64 -----(1)

y -x= 26 -----(2)

Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.

From (1):

x= 64 -y -----(3)

Substitute (3) into (2):

y -(64 -y)= 26

y -64 +y= 26 (expand bracket)

2y= 26 +64 (simplify, +64 on both sides)

2y= 90

y= 90 ÷2

y= 45

Substitute y= 45 into (3):

x= 64 -45

x= 19

Which linear function represents the line given by the point-slope equation y + 7 = (x + 6)?

Answers

d is the answer..........

The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct

Answers

Answer:

a. the line that passes through the most data points.

Step-by-step explanation:

The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line

Therefore as per the given situation, the option a is correct

Hence, the rest of the given options would be wrong

Will give brainlst
Have a nice day

Answers

Answer:

x = 3.5

y = 8x + 12

Step-by-step explanation:

1) Given the equation

12x = 4(x+2)+20

Expand

12x = 4x+8+20

12x - 4x = 28

8x = 18

x = 28/8

x = 3.5

Hence the value of x is 3.5

2) The standard form of equation in slope intercept form is y = mx+c

m is the slope

c is the y intercept

Get the y-intercept

Substitute m = 8 and (0, 12) into y = mx+c

12 = 8(0)+c

12 = c

c = 12

Get the required equation

Recall that y = mx+c

y = 8x + 12

This gives the required equation

What is the value of x in the equation of 4x + 1.3 = - 7.9

Answers

Answer:

x = -2.3

Step-by-step explanation:

4x + 1.3 = -7.9

First we want to combine the like terms.

Subtract 1.3 from both sides.

4x = -9.2

Now we want to isolate x by dividing both sides by 4.

x = -2.3

Check your answer by plugging x back into the original equation.

4x + 1.3 = -7.9

4(-2.3) + 1.3 = -7.9

Multiply.

-9.2 + 1.3 = -7.9

Add.

-7.9 = -7/9

Your answer is correct.

Hope this helps!

Step-by-step explanation:

4x + 1.3 = - 7.9

4x = - 7.9 - 1.3

4x = - 9.2

x = - 9.2/4

= - 2.3

20% of a restaurant customers order the chef’s special. 230 customers are anticipated to dine at the restaurant tonight. The standard deviation for this binomial distribution is? Round your answer to 3 decimal places

Answers

Answer:

i don't knwo

Step-by-step explanation:

i

James earns $22.00/hour. One week, he worked 40 regular hours and 5 hours of overtime. What is his GROSS pay?

Answers

Answer:

$1,045

Step-by-step explanation:

40×22=880

22÷2=11

11+22=33

33×5=165

165+880=1,045

solve 9x-10÷2=x+9
explain how​

Answers

Answer:

x = 4

Step-by-step explanation:

For brainliest please help!

Answers

Answer:

I think its y-x, if y >x.

Step-by-step explanation:

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The scientists determined the number of worms to reach each spot over a period of time.(a) Describe why the location and quality of food sources in the soil are sometimes likely to stimulate random movements by C. elegans, but at other times are more likely to stimulate directed movements(b) Justify the scientists use of two different spots on each petri dish and the counting of worms at each of the two spots.(c) Under harsh environmental conditions, C. elegans produces a pheromone, a complex of molecules that affects other C. elegans. One effect of the pheromone is to cause developing larvae to temporarily arrest as larvae rather than mature to reproductive adults. Predict the relative amount of pheromone most likely produced by C. elegans that are only weakly attracted to one of the test chemicals.(d) Provide reasoning to justify your prediction with respect to how the predicted amount of pheromone is beneficial to the worms that are only weakly attracted to the chemical. 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