One number is six less than a second number. Twice the first is 4 more than times 6 the second. Find the numbers.

Answers

Answer 1

Answer:

[tex]\text{First number: }-10, \\\text{Second number: }-4[/tex]

Step-by-step explanation:

We can write the following system of equations:

Let the first number be [tex]f[/tex] and the second number be [tex]s[/tex]:

[tex]\begin{cases}f+6=s, \\2f-4=6s\end{cases}[/tex]

Solving, we get:

[tex]\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}[/tex]

Solving for [tex]s[/tex]:

[tex]f+6=s,\\-10+6=s,\\s=\boxed{-4}[/tex]


Related Questions

Answer each question and round your answer to the nearest whole number

Answers

The new height is 20 in.

Explanation:

Let the width and height of the original triangle be w1 and h1
w1 = 5 in
h1 = 4 in

Let the width and height of the enlarged triangle be w2 and h2
w2 = 25 in
h2 = ?

(Since the triangles are similar, we can use the ratio of the given sides)

h2 / h1 = w2 / w1
h2 / 4 = 25 / 5
h2 / 4 = 5
h2 = 5 x 4
h2 = 20 in

PLS HELL
please tell me the answer and explain how you got it ty

Answers

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Hope this helps u don’t know how ur teacher thought this is how my teacher thought me

Solve the following system.

y = -2x 2 + 3x - 1 and x + y = -1.

The solutions are
and

Answers

Answer:

x = 0, y = -1
x = 2, y = -3

Step-by-step explanation:

The ratio of two radii of two spheres is 15:8. If the surface area of larger sphere is 706.9 mm2, fine the surface area of the smaller sphere.

Answers

Answer:

201.1 mm²

Step-by-step explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²

19,X, 4, 12,4
mean=11
X=​

Answers

Statistics

Vocabulary

-------------------------

Mean is the average of a data set.

Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.

19+4+12+4+x/5

Combine Like Terms.

39+x/5=11

Use random x values to determine x.

39+16=55

55/5=11

x=16

Insert x into the equation to make sure you're correct.

19+16+4+4+12=55

55/5=11

Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!

Answers

Answer:

here hereh ehreh ehe

Step-by-step explanation:

What is the volume of a hollow ball whose other radius is 200m and inner radius of 100m? What is the mass if it is iron?

Answers

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

[tex]V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3[/tex]

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

[tex]m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg[/tex]

Hence, this is the required solution.

Please answer!!
I’ll give brainlist!

Answers

Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

how do i get boys to like me?

Answers

Start looking like the standards because y’all starting to look the same

Answer:

don't

Step-by-step explanation:

they suck, wait until you're older and they are more mature

guys under the age of 18 tend to be immature and annoying

Darnel and Lester took a fishing trip with their scout troop last weekend. Darnel caught 4
catfish and 8 trout. Lester caught 3 catfish and 6 trout. Did the boys catch the same ratio of
catfish to trout?
yes
no

Answers

Answer:

Yes, the boys caught the same ratio of catfish to trout.

Step-by-step explanation:

First, find the ratios of catfish to trout for both Darnel and Lester.

Darnel's ratio is 4:8, since he caught 4 catfish and 8 trout.

This can be simplified to 1:2 by dividing each number by 4.

Lester's ratio is 3:6, since he caught 3 catfish and 6 trout.

This can be simplified to 1:2 by dividing each number by 3.

So, both of their ratios are 1:2.

Yes, the boys caught the same ratio of catfish to trout.

The slope of the line below is -4. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y-side.

(-2, 2)

Answers

Answer:

y - 2 = - 4(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 2, 2 ) , then

y - 2 = - 4(x - (- 2) ) , that is

y - 2 = - 4(x + 2)

write an explicit rule for the nth term of the sequence 40, 43, 46, 49, ... ​

Answers

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

I made some brownies and cookies to sell for a local fundraiser. The cookies sold for $0.75 each and the brownies sold for $1.25 each. If I sold 51 baked goods and made $53.25 from the bake sale, which item’s sales made the most money? Cookies Brownies

Answers

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

The height of a refrigerator would be about?
A. 7 inches
B. 7 feet
C. 7 yards
D. 7 miles​

Answers

The correct answer is B. 7 feet

Answer:

i think its b) 7 feet

Step-by-step explanation:

Find the slope of the line that passes through (7, 71) and (-100, -1)

Answers

Answer:

72/107

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-1 -71)/(-100-7)

    = -72/-107

    = 72/107

The coordinates of points A and B are?

Answers

B.) (-1, 3) , (3, 2)

Step-by-step explanation:

Not sure how to explan...

Answer: B: 3,2 A: -1,3

Step-by-step explanation:

How does this make you feel?

Answers

Answer:

sad to be honest

Step-by-step explanation:

Answer:

yo lemme stand in that dark door way

there

Step-by-step explanation:

Javier and his family drove to see Javier's grandparents during summer vacation in 2006. Gas prices varied from place to place. The gas prices Javier saw advertised advertised during the trip are shown below. What is the difference between the mean and median gas prices in dollars?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data to calculate the mean and the median are missing.

To solve this, I will assume the following values:

[tex]13, 18, 13, 14, 13, 16, 14, 21, 13[/tex]

[tex]n = 9[/tex]

The mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]Mean = \frac{13+ 18+ 13+ 14+ 13+ 16+ 14+ 21+ 13}{9}[/tex]

[tex]Mean = \frac{135}{9}[/tex]

[tex]Mean = 15[/tex]

To calculate the median;

Start by sorting the data

[tex]Sorted: 13, 13, 13, 13, 14, 14, 16, 18, 21[/tex]

[tex]n = 9[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{9 + 1}{2}[/tex]

[tex]Median = \frac{10}{2}[/tex]

[tex]Median = 5th[/tex]

The median is the 5th item on the list; i.e. 14

So:

[tex]Median = 14[/tex]

The difference (d) between the mean and the median is:

[tex]d = |Mean - Median|[/tex]

[tex]d = |15 -14|[/tex]

[tex]d = |1|[/tex]

Remove absolute bracket

[tex]d=1[/tex]

The difference in the mean and the median of the assumed dataset is 1

help please i need it really bad pls :(

Answers

Answer:

option 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

There are 10 data points in the graph, so the second one represents all 10 data points whereas the first one only shows the values and not how many of each value there are

What is the value of x?
K
83°
L
M
(9x + 40)

Answers

Answer:

This inscribed angle is half of the intercepted arc JL, so 2(83)= 9x +40.

166 -40 = 9x, x=14.

Step-by-step explanation:

The value of x in the given figure is 14 which we obtain by  inscribed angle is half of the intercepted arc.

The inscribed angle is half of the intercepted arc.

83 = 1/2(9x+40)
Now let us find the value for x

83= 9/2x + 20

Subtract 20 from both sides to isolate the x variable

83-20=9/2x

63=9/2x

126=9x

Divide both sides by 9

14 is value of x

x=14

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ2

reduce 287/861 to the simplest term in fractions

Answers

Answer:

1/3

hope this helps

have a good day :)

Step-by-step explanation:

Pls help no links pls this is due and i need help

Answers

Answer:

angle 1=127 degree

angle 3=127 degree

angle 2=53 degree

angle 4=53 degree

angle 5=37 degree

angle 6=90 degree

angle 7=53 degree

angle 8=37 degree

angle 9=37 degree

angle 10=143 degree

angle 11=37 degree

angle 12=143 degree

Step-by-step explanation:

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

Find the gradient of the following line

Answers

Gradient = 4

Explanation:

Take the points (0, 1) and (-1, -3)

Let (0, 1) be (x1, y1) and let (-1, -3) be (x2, y2)

m (gradient) = (y2 - y1)/(x2 - x1)
m = (- 3 - 1)/(- 1 - 0)
m = (-4)/(-1)
m = 4

Pls help me! Look at this ss

Answers

Answer:

4

Step-by-step explanation:

What is the least common multiple of the two denominators 6/8 and 4/32, only answer are 18, 8, 32, and 12 which one there are no 4

Answers

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the correct answer is 32

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

Pls i need help on these I HAVE BEEN STUCK

Answers

Answer:

5. D

6. B

7. B

Step-by-step explanation:

I need help with the answer immediately!!!!!

Answers

Answer:

y= - 1/6x + 2

Step-by-step explanation:

I know you need it quick

Y=1/6x+2
This is the correct answer

If you can please do it all just tryna go to sleep

Answers

Answer:

1. 1

2. -3

3. yes

4. no, it is not, because the function stop at point (-6, -2)

5. -2

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