The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the numbers?

Answers

Answer 1

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53


Related Questions

What is the opposite of -9

Answers

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.

Answers

the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring.

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

105 < 20n + 5 <205

Answer:

the possible numbers n of cans that each student should bring in is:               105 < 20n + 5 < 205

Deandre pays $15.20 for a pack of 8 towels.
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Please help

Answers

Answer: Each towel costs $1.90

Step-by-step explanation:

$15.20 divided by 8 = $1.90

explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers ​

Answers

There are a lot of differences between these two.

Step-by-step explanation:Firstly, strategy are all in mind and not on paper while written methods are solid proofs that are written on paper. Strategies may or may not work out with respect to the situation, while Written method will always work. They are actually written after testing their reliability. As far as you multiply decimal numbers these will go in vain and you have to use your mind to solve these

The relationship between strategy and written method in mathematics is that;

Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.

In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;

A student wants to perform addition of 19 and 46.

He could add the number straight away by doing 19 + 46 = 65or he can

take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and

then sum 45 and 20 together as 20 + 45 = 65.

So we can see that the two strategies used to add 19 and 46 gave the same result.

In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.

For example, we want to use partial products to multiply 13 x 52.

The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.

In this method, there cannot be another way used as the standard for using partial products is written and fixed.

Read more at; https://brainly.com/question/18884089

Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Answers

Answer:

13/18

Step-by-step explanation:

See attachment

Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=​High, M=​Medium, and L=Low. Complete parts a and b below.

y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M


Required:
a. Using​ technology, construct a regression model using all three independent variables.​
b. Complete the regression equation for the model​ below, where x3 represents the dummy variable Cond1​, and x4 represents the dummy variable Cond2.

y= ____ + (____)x2+ (____)x3 + (____)x4

Answers

Answer:

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

Step-by-step explanation:

y 63 53 77 53 38 43 34 20 13

x1 45 42 40 37 27 24 20 14 12

x2 74 62 80 53 42 48 35 16 13

x3 H H L M H M L L M

For regression analysis : all variables must be quantitative ;

X3 variable may be represented as thus;

L = 1 ; M = 2 ; H = 3

Hence ;

X3 = 3 3 1 2 1 2 1 1 2

y= ____ + (____)x2+ (____)x3 + (____)x4

Using the online multiple regression calculator :

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

From the general formular of a linear model:

y = w1x1 + w2x2 +... + wnxn + c = 0

Where c = intercept

w1,.. wn = weight of explanatory variable

Hence, the weights of x2 = 0.2068

Weight of x3 = 0.7995

Weight of x4 = - 3.607

Intercept = 6.6406

Please Help Me With This Math ;(

Answers

On the interval (8,24), the rate of change is 10.625 bacteria per minute.

9: 5.96 dollars per year on the interval (0,9)
10: 6.43 dollars per year on the interval (6,12)

Barb’s Grandma is always creating math problems for her to solve. In one problem she gave Barb a store receipt that listed 72 identical items, each the same price, for a total cost of $*67.9* Barb’s grandma covered the first and last digits of the total price on the receipt with stars. Determine the value of the digits that Barb’s Grandma covered.

Answers

9514 1404 393

Answer:

  367.92

Step-by-step explanation:

72 = 9·8

In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:

The sum of the digits must be divisible by 9. The last three digits must be divisible by 8.

In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)

In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.

The first digit is 3; the last digit is 2.

The total cost is 367.92. Each item price is 367.92/72 = $5.11.

_____

* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.

Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)​

Answers

Answer:

1.41

Step-by-step explanation:

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2

Answers

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

I don’t understand what this means

Answers

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. ​f(x)=−5x2 The curvature function is κ​(x)=nothing.

Answers

Answer:

K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = [tex]-5x^2[/tex]

first Determine the value of F'(x)

F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]

 K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

       

please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2

Answers

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?

Answers

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

write an equation that represent the table​

Answers

Answer:

y equals 5x + 20

The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship

Answers

Answer:

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

A linear graph is represented by a straight line

The true options are:

A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33

The points on the graph are:

[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]

[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]

The slope (m) of the graph is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]

[tex]\mathbf{m = \frac{16.50}{6}}[/tex]

[tex]\mathbf{m = 2.75}[/tex]

The above means that: 1 pound of blueberries costs $2.75

Hence, (a) is true, and (b) is false

Multiply 2.75 by 5, to get the cost of 5 blueberries

[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]

This means that: (c) is false

Multiply 2.75 by 12, to get the cost of 12 blueberries

[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]

This means that: (d) is true

(e) is false, because:

[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]

Hence, the true options are: (a) and (d)

Read more about linear graphs at:

https://brainly.com/question/11804653

a child walks 3/10 of a mile in 1\5 hour. At this rate, how far will the child walk in 1 hour

Answers

Answer:

1½ mile

Step-by-step explanation:

Given

3/10 mile = ⅕ hour

Required

Determine the distance in 1 hour

Since rate is constant, we have:

3/10 mile = ⅕ hour

Multiply both sides by 5

5 * 3/10 mile = ⅕ hour * 5

15/10 mile = 5/5 hour

3/2 mile = 1 hour

1½ mile = 1 hour

Hence,the child will walk 1½ mile in 1 hour

if you can help i’d appreciate it

Answers

Answer:

B- 44

Step-by-step explanation:

87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.

hope this helped! -brooke :))

3.A normal bus carries x passengers.
A large bus will carry twice as many passengers than the normal bus
A small bus will carry 8 passengers less than the normal bus.
Altogether the buses carry 128 passengers.
(a) Form a simplified equation in terms of x

Answers

Answer:  A)    4x -8 = 128  

Step-by-step explanation:

We will represent the amount that the normal bus carries by   n= x  

We will represent  the amount that the large bus carries by  l = 2x  

We will also represent the amount that the small bus carries by  s = x-8  

Now add them to equal to 128.

x + 2x + x -8 = 128    

    4x -8 = 128  

Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10

Her score was the sum of the numbers on these five cards. What was Ella’s score?
3


23

−5


Not here

Answers

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle

Answers

Answer:

17*21 = 357

Step-by-step explanation:

Firstly, set up your equation.

x*(x+4)=357

Multiply X by (x+4)

x^2+4x=357

You then subtract 357 from both sides

x^2+4x-357=0

Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.

[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]

Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answers

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

Need help Fast Inputs & outputs : equation

Answers

Answer:

-3

Step-by-step explanation:

-9t-4=23

-9t=27

t=-3

Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:

A. [tex]1^{3}[/tex]

B. [tex]1^{10}[/tex]

C. [tex]14^{3}[/tex]

D. [tex]14^{10}[/tex]

Answers

Answer:

The answer is D 14^10

Answer:

A

Step-by-step explanation:

scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?

Answers

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP

Answers

Answer:

y = -3x + 3

Step-by-step explanation:

Slope = -3

y-intercept = 3

Substitute values into slope intercept form :

y=mx + b

Where :

m= Slope

b = y-intercept

[tex]y = - 3x + 3[/tex]

Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

Read more:

https://brainly.com/question/12164462

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

Answers

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep

Please help will give brainliest answer

Answers

Answer:

side C'D' = 2.8 units

Step-by-step explanation:

Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)

Therefore side C'D' = 2.8 units

Side cd is 2.8 units

Help meeee pleaseeeeee

Answers

Answer:

B.

Step-by-step explanation:

I think its B because the Y comes before the slope

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