Two numbers are consecutive positive multiples of 3. Three
times the larger of the numbers is 7
10
of 5 times the smaller.
What are the numbers?

Answers

Answer 1

9514 1404 393

Answer:

  18, 21

Step-by-step explanation:

Let x represent the smaller number. Then x+3 is the larger number, and the other relation between them is ...

  3(x+3) = (7/10)(5x)

  6x +18 = 7x . . . . . multiply by 2 and simplify

  18 = x . . . . . . . . . . subtract 6x

The two numbers are 18 and 21.


Related Questions

Acellus
Find the indicated side of the triangle.
b
45°
28
a
a =
Enter

Answers

Answer:

a = 28 / √2

Step-by-step explanation:

Isosceles triangle therefor a = b

use pythagorean theorem

a² + a² = c²

2a² = 28²

a² = 28² / 2

Take the square root of both sides

a = 28 / √2

Answer:

a = [tex]\frac{28}{\sqrt{2} }[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{28}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

a × [tex]\sqrt{2}[/tex] = 28 ( divide both sides by [tex]\sqrt{2}[/tex] )

a = [tex]\frac{28}{\sqrt{2} }[/tex]

Wavelength and Frequency

A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:

C - 262 Hz
E - 330 Hz
G - 392 Hz

Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )

a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8

Please select the best answer from choices provided

Answers

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

What is meant by frequency ?

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

To learn more about frequency, click:

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ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest

Answers

Answer:D

Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.

Help plsssss:(


20.) Tameka made 20 bracelet to sell at
the craft show. She sold all 20
bracelets for $4 each. She paid
$6.99 for beads and clasps to make
the bracelets. She paid a $10 booth
fee to sell her bracelets at the craft
show. What was Tameka's profit?
F.
$40.99
G.
$80
H.
$70
J.
$63.01

Answers

the answer is 63.01


20 times 4 is 80
80 minus 6.99 is 73.01
73.01 minus 10 is 63.01

hope this helped :)

If a car moves 12 km North,19 km east, and 12 km south, what is its displacement

Answers

Answer:

19 km east

Step-by-step explanation:

By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement

Answer:

19 km, East

Step-by-step explanation:

I hope you get it right

50 POINT I NEED HELP BAD

Answers

Answer:

k = 4

Step-by-step explanation:

7k - 6 = 2k + 14

(7k - 2k) - 6 = (2k - 2k) + 14

5k - 6 = 14

5k (- 6 + 6) = 14 + 6

5k = 20

5k/5 = 20/5

k = 4

the answer for this question is 4

Which shows the use of the associative property?
A. 7n + 1/5 = 1/5 + 7n
B. 7 + (1/5 + n) = (7 + 1/5) + n
C. 7(n + 1/5) = 7n + 5/7
D. (7 + 1/5) +n = 7 1/5 + n
Edugenity 2021
Common Core math

Answers

Answer:

B shows the associative property

A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Where is he now on the number line

Answers

Answer:

Answer. -2

Step-by-step explanation:

hope this helps!!

Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0

Answers

The screenshot is the correct answers

The table modeling the inverse of function f is,

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                   -1

-2                     0

 -1                     1

  0                    2

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?

"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"

For given question,

We have been given a table modeling function f.

 x             f(x)

-2            -28

-1              -9

 0              -2  

 1               -1

 2              0

We need to complete the table modeling the inverse of function f.

We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]

For given function f(x), we find inverse of f(x)

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                    -1

-2                    0

 -1                     1

  0                   2

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Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)

Answers

Answer:

The sample standard deviation is of 248.19.

Step-by-step explanation:

First we find the sample mean, which is needed to find the sample standard deviation.

Sample mean:

Sum of all values in the sample, divided by the number of values. So

[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:

[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]

The sample standard deviation is of 248.19.

. Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A. 75 cookies per dollar
B. (0,0), (3, 2.25), (6, 4.25), (8,6.5)
c. 3/4 cookie per dollar
D. (0,0), (2, 1.5) (5, 3.75), (7,5.25) ​

Answers

Answer:

The answer is D.

Step-by-step explanation:

What would this One be??

Answers

Answer:

the pre-image and the image are congruent

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

 A 20-sided die is rolled.

A) Find the probability that the die shows a number greater than 15.

B) Find the probability that the die shows an even number.

C) Find the probability that the die shows a number that is not 5, 6, 7, or 8.

D) Find the probability that the die shows a number that is Prime.

Answers

Answer:

A) .25 or 25% or 1/4

B) .50 or 50% or 1/2

C) .55 or 55% or 11/20

D) .4 or 40% or 2/5

10+4y=20
Help me and out the steps in please

Answers

Answer: 10+4y=20

4y= 10

y= 10/4

y= 5/2

Step-by-step explanation: above

In order to obtain a linear relationship between predictor and response variable, you had to transform the response variable (Y) using a natural log transformation. After running the regression your estimate of the slope is 0.30011. Because you transformed the response variable the slope is no longer the change in Y, measured in the original units, per unit change in the predictor X. Using a simple mathematical expression you can still interpret the slope. Following the expression used in the lecture, the correct interpretation is now that this is a ___________change in Y per unit change in X. And the value of this change is __________

Answers

Answer:

Estimated average

0.30011

Step-by-step explanation:

Estimate of slope = 0.30011

Given that the transformed response variable possess a slope that is no longer the change in Y

The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is  0.30011

HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.

Answers

Answer:

Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.

Answer:

here now you can give her brainliest

Step-by-step explanation:

I need the answer fast psl

Answers

Answer:

I think Ordered Pair

Step-by-step explanation:

_ +18=5+41

What is the equation to finding the missing number

Answers

Answer:

28

Step-by-step explanation:

5+41= 46, so now subtract 46 to 18 and you get 28

To check 18+28=46 and  5+41=46

Answer:

Equação básica de segundo grau

Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)

Answers

Answer:

[tex]Pr = \frac{2}{9}[/tex]

Step-by-step explanation:

Given

A roll of two dice

Required

Probability of getting a sum of 8

First, we list out the sample space

[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]

[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]n(S) = 36[/tex]

From the sample space, the outcomes that give a sum of 8 are:

[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]

The total is:

[tex]n(Sum) = 8[/tex]

So, the probability is:

[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]

[tex]Pr = \frac{8}{36}[/tex]

[tex]Pr = \frac{2}{9}[/tex]

Can someone help me or explain how to find the missing value from the simple interest?

Answers

This is the working and answers

The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

W = 11/2, L = 14 sq ft

Step-by-step explanation:

Area = 77ft

L = length, W = width

L = 3 + 2W

L * W = 77

Plug W in to find the L

please help 10 point reward​

Answers

ANSWER:    I can give you the steps to figure out this question.

1  if it is starting at the 6 on the y axis, then just do up 1 over 1 until you get to the 10

The answer to your question is..... 6y+1=4x+10

Please answer both!!

Answers

27. 9x^2-24x+16=0
(3x-4)^2=0
3x-4=0
3x=4
x=4/3


28. 9x^2-30x+26=1

9x^2-30x+26-1=0

9x^2-30x+25=0
(3x-5)^2=0
3x-5=0
3x=5
x=5/3


Which equation can be used to find X, the length of the hypotenuse of the right triangle?

Answers

Pythagorean Theorum uses a^2 + b^2 = c^2

In that picture your legs will be 63 and 16 (aka a and b) ,so just input it and you’ll get c^2. In your case it’s x, so it will look like:

ANSWER:
63^2 + 16^2 = x^2
(last answer choice)

Suppose you have two rectangular prism with dimensions 2 feet by 3 feet by 5 feet. You want to join prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?

Answers

Answer:

Below in bold.

Step-by-step explanation:

You would join the faces with the greatest area

That is the faces with dimensions 3 feet by 5 feet.

Nora can do 70 push-ups in 2 minutes.
Luke can do 105 push-ups in 3 minutes. Do
these rates from a proportion? Explain.

Answers

Answer:

They can both do 35 push-ups per minute, with an equal ratio between them.

Step-by-step explanation:

Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:

70/2 = X

35 = X

105/3 = X

35 = X

Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.

I need an answer quick!!!

Answers

Answer:

0.34

Step-by-step explanation:

it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.

Answer:

The answer is .34

When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.

PLZ HELP I WILL MARK BRAINIEST (26+4) divided by 6 = w

Answers

Answer:

w = 5

Step-by-step explanation:

(26+4)=30, and 30/6=5, therefore, w = 5.

so (26+4) = 30

and 30/6=5

so the answer is w=5

Amil has a recipe that calls for 2/3 cups of flour. Amil wants to make 4 1/2 times that recipe. How many total cups of flour does Amil need?

Answers

She will need 3 cups

:)

Answer:

she will need 3 cups

Step-by-step explanation:

the total cups of flour Amil is 3 cups

A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year?

Answers

Answer: I can't really tell you the answer because you didn't show the graphs...

Step-by-step explanation:

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Given that the boat's value decreasing at a rate of 40% per year, hence:

b = 100% - 40% = 60% = 0.6

A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ

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