6(3x – 8) = 7(7x + 7)

Answers

Answer 1

Answer:

Step-by-step explanation:

6(3x – 8) = 7(7x + 7)

18x - 48 = 49x + 49

49x - 18x = - 48 - 49

31x = - 97

x = - 97/31

Answer 2

Answer:

x = -3.13

Step-by-step explanation:

6(3x – 8) = 7(7x + 7)

18x - 48 = 49x + 49

subtract 18x from from each side

-48 = 31x + 49

add 48 to each side

31x +97 = 0

31x = -97

divide both sides by 31

x = -3.13

check:

6(3[-3.13] - 8) = 7(7[-3.13] + 7)

-104.35 = -104.35


Related Questions

23 PTS
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:

(image attached)

Which statement best describes the relationship between the positions of the two players?

A) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

B) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

C) Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

D) Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answers

Answer:

B

Step-by-step explanation:

It takes Evan 6 3/4 hours to mow 3 lawns .It takes him 2 1/3 hours to mow

Answers

Answer:

It takes him  hours to mow the third lawn

Explanation:

We are given that Evan takes  hours to mow Mr. Gals lawn and  hours to mow Mrs. Lee's lawn

This means that:

Time taken to mow the two lawns =  hours

Now, we are given that the time taken to mow the three lawns is  hours

This means that:

Time taken to mow the third lawn =  hours

Hope this helps :)

(7.4A) A delivery truck drove an average of 42
miles per hour. It took 2 hours and 15 minutes
to travel between two towns. What is the
distance between the two towns?

Answers

Answer:

Step-by-step explanation:

equals=​rt, where d is​ distance, r is​ rate, and t is time Dist = rate*time D = 42 mph *4 hrs = 168 miles Cheers, Stan H.

6 3/5 - 2 4/11=?

Show your work :)

Answers

Answer:

4.23636363636 is the ans☺️:)

Step-by-step explanation:

Thanku♥️
Conversion a mixed number 6 3/
5
to a improper fraction: 6 3/5 = 6 3/
5
= 6 · 5 + 3/
5
= 30 + 3/
5
= 33/
5


To find new numerator:
a) Multiply the whole number 6 by the denominator 5. Whole number 6 equally 6 * 5/
5
= 30/
5

b) Add the answer from previous step 30 to the numerator 3. New numerator is 30 + 3 = 33
c) Write a previous answer (new numerator 33) over the denominator 5.

Six and three fifths is thirty-three fifths
Conversion a mixed number 2 4/
11
to a improper fraction: 2 4/11 = 2 4/
11
= 2 · 11 + 4/
11
= 22 + 4/
11
= 26/
11


To find new numerator:
a) Multiply the whole number 2 by the denominator 11. Whole number 2 equally 2 * 11/
11
= 22/
11

b) Add the answer from previous step 22 to the numerator 4. New numerator is 22 + 4 = 26
c) Write a previous answer (new numerator 26) over the denominator 11.

Two and four elevenths is twenty-six elevenths
Subtract: 33/
5
- 26/
11
= 33 · 11/
5 · 11
- 26 · 5/
11 · 5
= 363/
55
- 130/
55
= 363 - 130/
55
= 233/
55

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 11) = 55. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 11 = 55. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three fifths minus twenty-six elevenths = two hundred thirty-three fifty-fifths.
Result
6 3/5 - 2 4/11 = 233/
55
= 4 13/
55
≅ 4.2363636



Ed measured the low temperature for 4 days outside his school. On Monday, the low
temperature was 7.30°F. On Tuesday, it was 7.42°F on Wednesday, it was 7.38°F,
and on Thursday it was -7.40°F. Which day was the coldest?

Answers

Answer: -7.42

Step-by-step explanation:

If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? * 1 point

Answers

Answer:

25

Step-by-step explanation:

15/6.0=2.5

2.5x4=10

2.5x6=15

10+15=25

10 boys and 15 girls

Answer:

25

Step-by-step explanation:

Let's set up "x" as the total number of students. So now we can set up an equation:

40%x+15=x rewritten as:

.4x+15=x Subtract .4x from both sides will give us:

 

15=.6x Now divide each side by .6 to be:

25=x Therefore we know there are 25 students in the class.

Make sense?

2+[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]

Answers

Answer:

x = -19/4

Step-by-step explanation:

Given the equation 2+3/4x =  5/12. We are to find the value of x

2+3/4x = 5/12.

3/4 x = 5/12 - 2

3/4 x = (5-24)/12

3/4 x = -19/12

Cross multiply

3x * 12 = -19 * 4

36x = -76

x = -76/36

x = -19/4

Is (3,-9) a solution to f(x) = -3x?

Answers

Answer: Yes, the point (3,-9) is a solution to f(x) = -3x

=========================================================

Explanation:

Since y = f(x), we can say that f(x) = -3x is the same as y = -3x

The point (3,-9) means x = 3 and y = -9 pair up together

Lets plug these values into the equation

y = -3x

y = -3(3) .... replace x with 3

-9 = -3(3) .... replace y with -9

-9 = -9

We get the same thing on both sides, so the point (x,y) = (3,-9) is a solution to y = -3x. Consequently, it's also a solution to f(x) = -3x.

Answer:

Step-by-step explanation:

f(x)= -3x

-3(3)= -9

yes, (3, -9) is the solution

graph 9x+15y=45

help ?​

Answers

If you need help with graphing desmos is the way to go

c
72 ft
54 ft
What is the length of the hypotenuse?
C =
feet

Answers

Answer:

90 ft

This is because if you follow the Pythagorean Theorem

[tex]a^2 + b^2 =c^2[/tex]

[tex]54^2 + 72^2 = c^2[/tex]

[tex]8100 = c^2[/tex]

[tex]\sqrt{8100}=\sqrt{c^2}[/tex]

[tex]c = 90[/tex]

MEED HELO OM THIS ASAP

Answers

Answer:

8 m

Step-by-step explanation:

hypotenuse (h) = 10 m

base (b) = 6 m

perpendicular (p) = a = ?

We know by using Pythagoras theorem

p = √h² - b²

= √10² - 6²

= √ 100 - 36

=√64

= 8 m

Hope it will help :)

5
6 7
Choose the A that seems to be congruent to the given one.
D
0
A
AACBA
B
BDA
AOB
ACD

Answers

Answer:

im pretty sure its ACD

Step-by-step explanation:

Answer:

This is BDA, its congruent to ACB, as its on the opposite side.

Annie wants to create a right triangle with side lengths 12 centimeters, 35 centimeters, and
37 centimeters.
Is this possible? Why or why not?
Yes, because 12 + 35 is not equal to 37.
Yes, because 12? + 352 is equal to 372
No, because 12 + 35 is greater than 37.
No, because 12? + 352 is less than 372.

Answers

Answer: yes because 12^2+35^2=37^2

Step-by-step explanation:

In ΔFGH, the measure of ∠H=90°, HG = 56, FH = 33, and GF = 65. What ratio represents the cosine of ∠G? ASAP PLS

Answers

The value of ratio which represents the cosine of ∠G is,

⇒ cos G = 56/65

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In ΔFGH,

The measure of ∠H=90°, HG = 56, FH = 33, and GF = 65.

Now, By the formula;

⇒ cos θ = Base / Hypotenuse

Hence, We get;

⇒ cos G = GH / GF

⇒ cos G = 56/65

Thus, The value of ratio which represents the cosine of ∠G is,

⇒ cos G = 56/65

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Which statement is true?
0
A. 8x and 8y are like terms.
B. 8 and x are like terms.
C. 8x and x are like terms.
O
D. 8x and 8 are like terms

Answers

The answer is C

It’s C because like terms have the same variable.

What is the volume of a cube with an edge length
of 2/3 foot?

Answers

Answer:

V= 512 inches or, 42.67 feet

Step-by-step explanation:

So a cube has the same length on all sides so you would multiply length times with times area or V = a^3

So, 2/3 foot is equal to 8 inches so you would do V = 8^3 which would get you the answer,

21. Loans Based on past experience, a bank believes that 7% of
the people who receive loans will not make payments on time.
A bank auditor randomly selects 200 loans.
a) What are the mean and standard deviation of the proportion
of clients in this group who may not make timely payments?

Answers

Answer:

Step-by-step explanation:

Mean 0.7 and standard deviation 0.018

p = 0.07

n = 200

q = 1 - 0.07 which = 0.93

u = 0.07

o = (p * q) / n = [tex]\sqrt{(0.07)(0.93)/200}[/tex] = 0.018

The Patel family looks at map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 3 3/4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 5 1/4 inches apart on the map. The scale on the map is 1/2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box

Answers

Answer: 72 miles

Step-by-step explanation:

The total distance from Smithville to Clarksville will be:

= 3 3/4 + 5 1/4

= 9 inches

Since the scale on the map is:

1/2 inch = 4 miles

1 inch = 4 × 2 = 8 miles

Therefore, 9 inches will be:

= 9 × 8 = 72 miles

The actual distance that the Patel family will travel by the time they reach Clarksville will be 72 miles.

Find the value of the monomial: 12x^2y for x =-0.3, y=1/6

Answers

Answer:

0.18

Step-by-step explanation:

12(-0.3)^2(1/6)

6(2(-0.3)^2(1/6)

cancel the common factor

2(-0.3)^2

2X0.09

=0.18


10. What is the ratio of the trigonometric ratio? Simplify as needed. *

Answers

12/35

tan = opp/adj

tan = 12/35

OMG LAST QUESTION IDNSKSNKSKNDLKNKNDK

Answers

Answer:

1. 38 gallons per gas, 2. $3.74 per gallon

Step-by-step explanation:

“Delaneys internet provider charges $14.95 per month plus $5.75 for each gigabyte of data she stores in the cloud. Write an equation to model the cost per month for this situation.”

Answers

Answer:

5

Step-by-step explanation:

14.95×5.75 dhdhfhfhfhrhththththtbththththtbthththtbtbtbtbthtbtbtbth

The answer to your question is 5

I'm not the smartest but um does anybody know what my teacher means by this? Do I do all the evens or:

"You dont need to do ALL the evens...do EVERY OTHER EVEN, that way there are only 15 problems"​

Answers

Answer:

This is the even numbers out of 100. So Do every other one so in you case 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30.And all them problem you do add up to 15 total of what you completed( why they said there will only be 15 problems AKA the ones you solve)

Step-by-step explanation:

Hope this helps :)

Over a 24 hour period the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70*F in the morning, rises to a high of 80*F, falls to a low of 60*F, and then rises to 70*F by the next morning.

What is the equation for the sine function f(x), where x represents time on hours since the beginning of the 24 hour period that models the situation​

Answers

Start with an initial temperature of T0 = 70° at t = 0 hours, and add to that a sine function that does the following, in order:

 

Rises by 10°, reaching 80° after 6 hours

Drops by 10º, reaching 70° after 12 hours

Drops by 10°, reaching 60° after 18 hours

Rises by 10°, reaching  70° after 24 hours

 

Note that the amplitude of the sine function is A = 10°.

 

T = period of the sine function

T = 24 hours

 

f(x) = T0 + A sin[(2π/T)x]

 

where

 

T0 = 70°

A = 10°

T = 24 hours

x = elapsed time in hours

 

f(x) = 70º + (10°)sin[(π/12)x]

 

with x in hours.

 

Test this solution and see that it fits the data.  (Make sure your calculator is in the radian mode!)

Answer:

10sin(πx/12)+70

Step-by-step explanation:

I just took a quiz and this was the correct answer.

what is the slope of a line that goes through these 2 points? (-2, 1) (2, -3)

Answers

answer: -1
explanation:
y2-y1/x2-x1
-3-1/2-(-2)= -4/4= -1

Answer:

-1

Step-by-step explanation:

Let u = <9,4>, v = <-2,5> Find u + v.

Answers

Answer:

u +v = < 7,9 >

Step-by-step explanation:

You are given u = <9,4> and v = <-2,5>. You are asked to find u+v. all you need to do is to add them with their respective position. u+v = <9-2, 4+5>, u+v = <7,9>. This is the correct answer.

Find the image of (1, 2) after a reflection about the x-axis followed by a reflection about the y-axis

Answers

Answer:

-1

Step-by-step explanation:

PLEASE HELP ASAP, MARKING BRAINLIEST!!!

What is the value of x and y?

Answers

Answer:

x = 9 ; y = 18

Step-by-step explanation:

This is a 30° 60° 90° triangle meaning the length of the big leg will be the value of the small leg times √3 and the hypotenuse will be double the length of the small leg.

Answer:

x = 9

y = 18

Step-by-step explanation:

tan(60) = 9 radical 3 / x

x = 9 radical 3 / tan(60)

x = 9

a² + b² = c²

9² + 9radical3² = c²

324 = c²

c = 18

y = 18

Part B How many more questions would Kevin have to answer correctly to get more than 80% correct? Enter the number in the box.

Answers

Answer: See explanation

Step-by-step explanation:

Here's the complete question:

Kevin correctly answered 75% of his 32 test questions. how many questions would kevin have to answer to get more that 80% correct?

The number of questions he answered correctly will be:

= 75% × 32

= 75/100 × 32

= 3/4 × 32

= 24

He got 24 questions correctly.

To get more than 80% correctly, he will have to answer:

= 80% × 32

= 80/100 × 32

= 4/5 × 32

= 128/5

= 25.6 = 26

He will have to answer at least 26.

Construct a 95% confidence interval for the true difference in proportions of male and female smokers. Use p1^ for the proportion of men who smoke. Round your answers to three decimal places.

Answers

Answer:

ok?

Step-by-step explanation:

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