The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.

Answers

Answer 1

Answer:

Step-by-step explanation:

"The difference of two numbers is 15."

x-y = 15

x>y

"Five times the smaller number is the same as 9 less than twice the larger number."

5y = 2x-9

y = x-15

substitution

5(x-15) = 2x-9

5x-75 = 2x-9

3x = 66

x = 22

y = x-15 = 7


Related Questions



HELP ASAP PLEASE!



The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters​

Answers

Answer:

Step-by-step explanation:

The area of each rectangle is Length x width

Therefore Area of rectagle is 8cm x 10 cm=

A= 80 cm 2

There are three rectangles with the same measure so multiply the area by 3

80cm squared x 3= 240 cm 2

Now find the are of the triangle:

A- 1/2 x base x height

Base = 8cm

Height = 6.9 cm

A= (1/2) (8cm) (6.9cm)

A= (1/2) (55.2 cm squared)

A= 27.6 cm squared

Since there are two triangle faces with the same dimensions take the area and multiply it by 2

27.6 cm squared times 2 = 55/2 cm squared

Now add up the area of the rectangles and the area of the triangles.

Rectangles= 240 cm squared

Triangles 55.2 cm squared

240cm sq + 55.2 cm sq.= 295.2 cm squared

40% of
a number is 8 more than the
number
Which is the number

Answers

Do you mean 8 more smaller if so the answer to your question is
X+y=40
Y=8 + x
Substituting the second equation into the first:
X+(8+x)=40
2x+8=40
2x=32
Smaller number: x=16
Y=8+(16)
Large number: y=24

What is 8/12 + A/12=2/b

Answers

Answer:

A = -4

B = 12

Step-by-step explanation:

A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.

Hope it helps!

A pet store has 40 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all?

Answers

Answer:

50 fish

Step-by-step explanation:

80% 40 fish :8

10% 5 fish x10

100% 50 fish

Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.

Answers

Answer:

B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Option A:

No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.

Option B:

Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.

Option C:

No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.

Is 6/10 more than 3/4

Answers

Answer:

3/4 is greater

Step-by-step explanation:

3/4 > 6/10

Answer:

3/4 is more

Step-by-step explanation:

divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.

the factory made a hundred packs of gum 40% of the packs contain to mint flavored gum how many packs of mint gum did the factory make​

Answers

Answer:

I would say that this is 40 packs of mint flavored gum (sorry if this is wrong)

Step-by-step explanation:

Since there are 100 packs of gum, the 40% just turns into 40

0.345 times 83.8 I forgot how to do it .w.

Answers

Answer:

28.911

Step-by-step explanation:

you just have to open up a calculator lol

Two sides of a triangle measure
8 centimeters and 13 centimeters. Which
of the following could not be the length of
the third side?
A 4 cm
4
C 14 cm
B 8 cm
D 18 cm

Answers

Answer:

4

Step-by-step explanation:

Answer:

A:4cm

Step-by-step explanation:

2) 8x +9y = 82
2x + 2y = 20

Answers

X=8 and y=2 solved using elimination

Tan (14)= 6000
side of the
Х
1

Answers

Answer:

question I don't understand what you want to be done herewhat's the q

A CD costs $13.50 before tax. What is the total cost after a 8% sales tax is added?

Answers

Answer:

$14.58

13.50+1.08= $14.58

In which equation is the product greater than 3?

A. 3/4x3

B. 3/2x3

C. 1/12x3

D. 9/10x3

Answers

Answer:

B

Step-by-step explanation:

all you need to do for this is multiply the numerator by the 3.

3/4 times 3 = 9/4-  thats not more than 3

3/2 times 3 = 9/2 - thats more than 3  

1/12 times 3 = 3/12-  thats  not more than 3

9/10 times 3 = 27/10 thats  not more than 3

could you give me brainliest I need to complete this level

A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)

Answers

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

Additional comment

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

y = - 2x + 1
2x - 2y = 4
Solve systems of equations by substitutions

Answers

Answer:

x= 1

y= -1

Step-by-step explanation:

y=-2x+1

2x-2y=4

substitute for y

2x-2(-2x+1)=4

reduce

2x+4x-2=4

6x=6

x=1

y= -2(1)+1

y= -1

WILL MARK BRAINLYIST

Answers

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

Answer: The person up their is correct

D = 45 and C = 26

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

https://magoosh.com/math/how-to-find-the-measure-of-an-angle/

:D that's where I got my information pls mark me brainlyist

Maria must give her dog 3 ml of ear drops medicine once per day in one ear for 3 days. The bottle contains 2 oz of medication Express in milliliters how much of a medication will be left after the dogs treatment is complete round your final answer to two decimal points​

Answers

Answer:

Step-by-step explanation:

7.
(-3x³)(-2x³y⁴z)(-3z²)÷(4x³z)(-3yz) (-3xyz)​

Answers

Answer:

[tex]-\frac{x^2y^2}{2}[/tex]

Step-by-step explanation:

We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :

Remove the parenthesis to make it easier to read :

[tex]\frac{-3x^3 *2x^3y^4z *3z^2}{4x^3z*3yz*3xyz}[/tex]

Multiply the numerators :

[tex]\frac{-18x^6y^4z^3}{4*3*3x^3yyzzz}[/tex]

Multiply the denominators :

[tex]\frac{-18x^6y^4z^3}{36x^4y^2z^3}[/tex]

Apply the negative rule :

[tex]-\frac{18x^6y^4z^3}{36x^4y^2z^3}[/tex]

Cancel the common factor which is 18 :

[tex]-\frac{x^6y^4z^3}{2x^4y^2z^3}[/tex]

Apply the addition exponent rule :

[tex]\frac{y^4z^3x^{6-4} }{2y^2z^3}[/tex]

Subtract :

[tex]\frac{x^2y^4z^3 }{2y^2z^3}[/tex]

Apply the rule for y :

[tex]\frac{x^2y^{4-2} z^3 }{2z^3}[/tex]

Subtract :

[tex]\frac{x^2y^2z^3 }{2z^3}[/tex]

Cancel the common factor of z^3 :

[tex]-\frac{x^2y^2}{2}[/tex]

D
Angles that have the same
_________________
are called
__________________
angles.

Answers

Answer:

Can’t trust anyone these days fake is becoming the new trend.

The table shows a function. Is the function linear or nonlinear?
x y
7 20
8 12
9 7

Answers

Answer:

Non-linear because none of them repeat.

Step-by-step explanation:

non linear babe, none of them repeat

What is the exact circumference of a circle with a radius of 15 cm?
O 10 cm
O 15 cm
O 30 cm
O 60 cm

Answers

Answer:

Step-by-step explanation:

None of the choices is correct.

Circumference= 2πr = 30π cm

The ratio of length to width on a rectangle is
11:3. The perimeter of the figure is 308. what is the
width of the rectangle

Answers

Answer:

[tex]Let~the~length~of~rectangle~be~'l'~and~its~width~be~'b'.\\According ~to ~question,\\l:b=11:3\\or, \frac{l}{b} =\frac{11}{3} \\or, l = \frac{11b}{3}\\Also,\\Perimeter~of~the~rectangle=308\\or, 2(l+b)=308\\or, l+b=154\\or, \frac{11 b}{3}+b =154 \\or, \frac{11b+3b}{3} =154\\or, 14b = 154(3)\\or, b=33 units\\So, ~the~width~of~rectangle~is~33units.[/tex]

Alternative method:

[tex]Let~the~length~and~width~of~the~rectangle~be~11x~and~3x.\\Given,\\Perimeter~of~the~rectangle = 308\\or, 2(11x+3x)=308\\or, 14x = 154\\or, x = 11\\Now,\\Width~of~the~rectangle,3x = 3(11)=33 units\\So,~the~width~of~the~rectangle~is~33units.[/tex]

55 points and brainliest
What is the equation of the function that is graphed as line a?



y = 2 x - 1
y = - x - 1
y = - x
y = 3 x

Answers

Answer:

B. y = - x - 1

Step-by-step explanation:

Line a is declining and has the y-intercept of -1

The equation with negative slope and - 1 y-intercept is:

y = - x - 1

Correct option is B

Question:-

55 points and brainliest

What is the equation of the function that is graphed as line a?

y = 2 x - 1y = - x - 1y = - xy = 3 xOption:-

[tex]y = - x - 1[/tex]

A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?

Answers

Answer:

107%=16.06

Step-by-step explanation:

im pretty sure that's it, if its not please correct me.

5 is what percent of 250?

Answers

Answer:

the answer will be 2

Which value is an input of the function?
-14
-2
0
4

Answers

Answer:

4

Only answer on the x-axis

Answer:

It's 4.

Step-by-step explanation:

Did the  test on edge2021

Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.

How much more will she be earning per hour at her new job?

PLEASE SHOW YOUR WORK!!

Answers

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

Please help! I need by tomorrow

Answers

i don’t understand.
online school is hard

please help.................

Answers

Answer:

Is that thick line an equal or a minis sign? I cant see it.

what is 2m + 2 =8? i have been wondering about this question alot

Answers

Answer:

Her u are asked to find the value of 'm'

We can do it by transposing values from LHS to RHS

Thus it will go like this

2m=8-2

2m=6

m=6/2

m=3

Answer:

2m=8-2

2m=6

m=6/2

m=3

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