what is the solution for the following equation? 3(a-7)=14-4a​

Answers

Answer 1

Answer:

a= 5

Step-by-step explanation:

3 (a-7)= 14-4a -Remove Parentheses

3a-21=14-4a -Move the terms

3a+4a=14+21 -Collect like terms

7a=35 -Divide both sides

a=5 - Solution


Related Questions

Multiply each pair of factors. Type the product in
the space provided
(6 + 3)(6 - 31)
(4-57)(4+ 5) -
(-387)(-3 - 81) -

Answers

Answer:

I hope this help

The answer is 24

Answer:

45.                                    Second part is -36 then -4+28i

41

72

Step-by-step explanation:

Just did on edg 2021

(4x3) x 6= (2x3) x is what

Answers

Answer:

4 x 3 = 12 x 6 = 72

2 x 3 = 6 x 12 = 72

x = 12

Step-by-step explanation:

The answer is at the top

solve the equation:
-5|3x+8|-5=-2

Answers

Answer:

x = -2 13/15

Step-by-step explanation:

-5(3x+8)-5=-2

start by multiplying out the 5 to the numbers in the parenthesis.

= -15x-40-5=-2

subtract 5 from -40

=15x-45=-2

add the 45 to itself to get rid of it and add it to -2

=15x=43

divide 43 by 15

=2.8666666666 or -2 13/15

The sum of 3 and a number is 16.​

Answers

Answer:

13

Step-by-step explanation:

16-3 = 13

13 explaination 3+13 =16.

There are two whole numbers which whe
multiplied by itself gives the same number. Wh
are they
8. A taxi driver filled his petrol tank with 40 litres
petrol on one day and 45 litres of petrol on the
next day. If the cost of petrol is * 54 per litre,
the amount spent on petrol in these two days
9. A dairy supplies 40 litres of milk in the morn
and 50 litres of milk in the evening. If the
of milk ist 24 per litre, find the total sa
rupees.​

Answers

8)

Petrol filled on Monday = 40 liters

Petrol filled on next day = 50liters

Total petrol filled = 90liters

Now, Cost of 1 liter petrol = Rs. 44

Cost of 90 liters petrol = 44 x90

= 44 x (100 – 10)

= 44 x 100 – 44 x10

= 4400 – 440

= Rs. 3960

Therefore, he spent Rs. 3960 on petrol.9

9)

Milk supplied in morning =40 liters

Milk supplied in evening =50 liters

Total milk supplied in one day = 90 liters

Cost of 1 litre milk =24 rupees

Cost of 90 liters milk=24 ×90

=2,160 ruees.

HOPE IT WILL HELP YOU.

PLEASE MARK IT AS BRILLIANT ANSWER.

Many states run lotteries to raise money. A website advertises that it knows​ "how to increase YOUR chances of Winning the​ Lottery." They offer several systems and criticize others as foolish. One system is called Lucky Numbers. People who play the Lucky Numbers system just pick a​ "lucky" number to​ play, but maybe some numbers are luckier than others.​ Let's use a simulation to see how well this system works. To make the situation​ manageable, simulate a simple lottery in which a single digit from 0 to 9 is selected as the winning number. Any value can be​ picked, but for this​ exercise, pick 1 as the lucky number. What proportion of the time do you​ win? Run 60 trials using the random numbers given​ below, starting with the first number. 89064 27308 64568 14121 98226 65388 58732 85801 69902 78431 10380 42006

Answers

Answer:

10 percent

Step-by-step explanation:

hello,

from this question, it has been stated that the lucky number is 1

from all of these values below we are to account how many times 1 appeared in these numbers have

89064, 27308, 64568 ,14121, 98226, 65388, 58732, 85801, 69902, 78431, 10380, 42006.

the total number of 1 is 6

= 6 x 1 divided by the number of trials 60

= 6 x 1/60

= 0.1

to get the proportion, we multiply 0.1 by 100

0.1 x 100

= 10%

The area of a square is 36 square inches. What is the perimeter of half the square?

Answers

The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.

The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:

A = s²

36 sq. units = s²

√(36 sq. units) = √s²

6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)

Therefore, ...

P = 4s

P = 4(6 units)

P = 24 units is the perimeter of a square whose area is 36 square units

Jenn swam ⅕ mile in ¼ hour. What is her unit rate in miles per hour?

Answers

Answer:

1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph

Step-by-step explanation:

Answer:

0.80mph

Step-by-step explanation:

If 1/5 = 1/4, then:

she swims 1/5 miles for every 1/4 (fourth) of an hour

per hour means 1 hour

we must covert 1/4 to 4/4 (one mile)

1/4 × 4/1 = 4/4

if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles

1/5 × 4/1 = 4/5

Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph

*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*


A rectangle has length 4 yards more than its width. The area of the rectangle is 96 square yards. Find the
length and the width.

Answers

Answer:

Length = 12

Width = 8

Step-by-step explanation:

Area of a Rectangle = l x w

12 x 8 = 96

What do you notice about rectangles and
parallelograms? What is the same or different between
these two polygons?

Answers

Answer:

both have four sides and equal measures with the opposite side. Parallelograms are slanted while the rectangles are straight.

Use the Distributive Property to write an expression equivalent to 5 x (3 + 4)

Answers

Answer:

15 + 20

Step-by-step explanation:

Step 1: Write expression

5 × (3 + 4)

Step 2: Distribute 5 to each term

5(3) + 5(4)

Step 3: Simplify

15 + 20

Please help thank you

Answers

I can't see the whole paper the sentences is cut

A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long.If he paints 1/2 of the wall blue, how many square feet will be blue?

Answers

70 square feet, I just took it

simplify the expression
(2x-6) - (4x+4)​

Answers

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4)​    multiply (4x+4)​  by -1   -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4  Re-arrange

2x - 4x - 6 - 4

-2x - 10

Which of the following is closest to 1/2 + 1/3

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

1/2=3/6, and 1/3=2/6. 2/6+3/6=5/6

The number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

What is the fraction number?

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here, (a) is the numerator and (b) is the denominator.

We have to find the addition of two fraction number 1/2 and 1/3. Suppose the value which is closest to 1/2 + 1/3 is n. Thus,

[tex]n=\dfrac{1}{2}+\dfrac{1}{3}\\[/tex]

Cross multiply to find the addition of two numbers,

[tex]n=\dfrac{3+2}{6}\\n=\dfrac{5}{6}\\n=0.833[/tex]

Thus, the number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

Learn more about the fraction number here:

https://brainly.com/question/78672

#SPJ2

A circle with radius ris inscribed inside a square with a side length s. Use 3. 14 for TT Round answer to the nearest hundredth if necessary
If s = 10 millimeters and r = 5 millimeters, calculate the area of the shaded region
square millimeters

Answers

9514 1404 393

Answer:

  21.46 mm^2

Step-by-step explanation:

The area of the square is ...

  A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

  A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

  100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area

This is the two that go together, but are separate questions

Answers

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

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

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

[tex]\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}[/tex]

If we multiply both sides of the second equation by -2, we get this updated system

[tex]\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}[/tex]

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

in 2015, Oklahoma experienced 907 perceptible earthquakes (far surpassing California), for an average of about 2.5 perceptible earthquakes per day. Consider perceptible earthquakes that occur independently with a constant daily rate of 2.5 What is the probability that a given day would have 1 perceptible earthquake?

Answers

Rockarooooooooooooooo

Gillian bakes 216 cookies on Monday. She bakes 151 more cookies on Tuesday than on Monday. She bakes 85 cookies on Wednesday. How many cookies did she bake in all? Explain.

Answers

Answer:

452

Step-by-step explanation:

216+151+85=452

y = −x2 − 8x − 15 vertex

Answers

Answer: The vertex is (-4,1)

Explanation: I used -b/2a to find the x, then plugged in -4 to find the y, which is 1.

A rectangular kitchen is 11 ft by 17 ft. How many square tiles, each with a perimeter 24 inches, are needed to cover the floor?

Answers

Answer:

7.7916

Step-by-step explanation:

Multiply 11 by 17 which equals 187,

do 187 / 24 which equals 7.7916 tiles.

Hope this helps!

8 vanilla cones, 15 strawberry cones, and 25 chocolate cones in one evening. What percent of the cones sold were strawberry?

Answers

Answer:

33 1/3%

Step-by-step explanation:

                                                                                   

Please help with this:

Answers

9514 1404 393

Answer:

  Positive

Step-by-step explanation:

If thinking in the abstract doesn't work well for you, choose a couple of values that match the description:

  a > 0, choose a = 1

  b < 0, choose b = -1

Now, the product is ...

  -4ab = (-4)(1)(-1) = 4 . . . a positive product

__

The product will be positive when the total number of minus signs of the factors is even. Here, there are 2 minus signs, so the product is positive.

write each rate as a fraction in lowest terms 20 feet in 40 seconds​

Answers

Answer:

1/2 feet per second.

Step-by-step explanation:

Vertical Angles: Vertical angles are angles that are opposite of each other when two straight lines cross. In
the diagram in #5, ZGEF and ZMEH are a pair of vertical angles while ZFEM and ZHEG are also.
(a) Given the results of your calculations in #5, what can you say about the measure of vertical angles?

(b) Why do you think this occurs?

Answers

9514 1404 393

Answer:

vertical angles are congruentboth are supplementary to the same angle

Step-by-step explanation:

Given the results of #5 are ...

  ∠GEF = 120, 150, 155, 135

  ∠FEM = 60, 30, 25, 45

  ∠MEH = 120, 150, 155, 135

  ∠HEG = 60, 30, 25, 45

__

(a) We can see that vertical angles are congruent.

(b) Each of a pair of vertical angles is supplementary to the same angle.

  ∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG

  ∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH

Provide steps to the equation. :)

Answers

Answer:

C. 90°

Step-by-step explanation:

Angle ABC is the sum of angles ABD and DBC as per angle addition postulate

As per given we have isosceles triangles ABD and BCD

ADC is straight angle, therefore:

2x + x = 180°3x = 180°x = 60°Triangle ABD∠BAD = ∠ABD = 1/2(180° - 2x) = 1/2(180° - 120°) = 1/2(60°) = 30°Triangle BCD∠BDC =∠ BCD = x = 60°∠DBC = 180° - 2*60° = 180° - 120° = 60°So the angle ABC∠ABC = ∠ABD + ∠DBC∠ABC = 30° + 60° = 90°

find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2

The equation of the line is given by: [tex]y = 3x + 2[/tex]

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

The equation of a line, in slope-intercept formula, has the following format:

[tex]y = mx + b[/tex]

In which

m is the slope, that is, how much y changes when x changes by 1.b is the y-intercept, that is, the value of y when x = 0.

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

Given two points (x,y), the slope is the change in y divided by the change in x.We have points (-1, -1) and (3,11). Thus:

[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]

Then

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

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

Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.

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

[tex]-1 = 3(-1) + b[/tex]

[tex]b = -1 + 3 = 2[/tex]

Thus

[tex]y = 3x + 2[/tex]

A similar problem is given at https://brainly.com/question/13251894

What is the answer to 245 = 125 +15w
w=

Answers

Answer:

245-125=15w

120=15w

120÷15=w

w=8

BRAINLIEST TO FIRST ONE THATS CORRECT ANSWER!!

Find the area of the patio

Answers

15,077,500  

Area= W * H

In this case area would be 1850 * 8150 which equals 15,077,500

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t = 1/500d. How long will it take the airplane to travel 800 miles? 400 miles? 200 miles?

Answers

please refer to this...............

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