Determine the solution to each of the following single variable equations. A. x-4=1/2(x+3) B -4x=1/2(-8+2) C. 3-2(-3x+1)=6x+1 D. 0.5(x+3)=-3(x-0.5)

Answers

Answer 1

Answer:

A. x = 11

B. x = 3/4 (or 0.75)

C. any value

D. x = 0

Step-by-step explanation:

hope this helps:)


Related Questions


A circular flower bed is 19 m in diameter and has a circular sidewalk around it that is 4 m wide. Find
the area of the sidewalk in square meters. Use 3.14 for .

Answers

Answer:

289 m²

Step-by-step explanation:

First find the area of the flower bed

A=πr²= (3.14)(9.5)² = 283.385

Then get the area of everything including the sidewalk

A=πr²= (3.14)(13.5)² = 572.265

Then subtract and you'll get the area of just the sidewalk

572.265 - 283.385 = 288.88m²

The answer to this question is 289

Two men and a machine were picking oranges on a farm. One man picked x amount
oranges. The second man picked 12 less than the first. The machine picked three
times the second man. How many oranges did each pick if the total amount of
oranges picked is 332?

Answers

The equation to represent the situation is like so:

[tex]x+(x-12)+3(x-12)=332[/tex]

Simplify.

[tex]x+x-12+3x-36=332[/tex]

[tex]5x-48=332[/tex]

[tex]5x-380=0[/tex]

Solve for the variable x.

[tex]5x=380[/tex]

[tex]x=76[/tex]

[tex]first\ man =x\\second\ man =x-12\\machine=3(x-12)[/tex]

[tex]first\ man=76\\second\ man=64\\machine=192[/tex]

Verify.

[tex]x+(x-12)+3(x-12)=332[/tex]

[tex]76+(76-12)+3(76-12)=332[/tex]

[tex]76+64+192=332[/tex]

[tex]332=332[/tex]

[tex]LS=RS[/tex]

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?
The vertex of the graph of g is 1.5 units to the left of
the vertex of the graph of f.
B
The y-intercept of the graph of g is 1.5 units above the
y-intercept of the graph of f.
The graph of g is a reflection of the graph of f across
the y-axis.
The graph of g is a reflection of the graph of f across
the x-axis.

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

According to data from the U.S. Census Bureau, approximately 9/10 of the U.S population was less than 65 years old. What percent
of the population was less than 65?

Answers

Answer:

90%

Step-by-step explanation:

We know that 9 of 10 people were less than 65. It means, that if they would ask 100 people, the number would be 90.

The percent of population less than 65 is 90%

Ninety percent of the population was less than 65.

What is the percentage?

The percentage is defined as the ratio expressed as a fraction of 100.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

According to data from the U.S. Census Bureau,

Approximately 9/10 of the U.S population was less than 65 years old.

Nine out of ten people, as far as we know, were under 65.

In other words, if they surveyed 100 persons, the answer would be 90.

Hence, Ninety percent of the population was less than 65.

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لا
Subtract 43 from 21 raised to the 7th power, then multiply by 2.

Answers

the answer of this question is 58

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer: correct

Step-by-step explanation theoretically it is indeed correct by acknowledging by surface+height which both angles are evenly congruent now

in terms of the 990 Degree angle i know for a fact that it corresponds with it no more to say.


1. Evaluate each expression without using a calculator.
(a) [tex](-3)^{4}[/tex]

Answers

The result of the exponential expression is 81

Indices expressions

Indices are written in term of exponents

According to the expoenent law of indices

a^4 = a * a * a * a

Given the expression

(-3)^4

This means the product of -3 in four places. Mathematically

(-3)^4 = -3 * -3 * -3 * -3
(-3)^4 = 9 * 9
(-3)^4 = 81

Hence the result of the exponential expression is 81

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How would I solve I need to know Asap and what is the answer

Answers

Answer:

True; True; False; True

Step-by-step explanation:

What is the product of x4y and 4x2

Answers

Answer:

4 x 2 (2WD) A 4x2 or 2WD is a vehicle that has a two-wheel drive (2WD) with four wheels.

Step-by-step explanation:

Find the arc length of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

arc = 9π units

Step-by-step explanation:

the arc is half the circumference of the circle, then

arc = [tex]\frac{1}{2}[/tex] × 2πr = πr , then

arc = π × 9 = 9π

Answer:

[tex]\boxed{\tt 9\pi }[/tex]

Step-by-step explanation:

What we want to find here is the arc length of 1/2 of a circle, we'll start by finding the of the circle.

Step 1:- find the circumference of the circle →

[tex]\boxed{\sf Circumference\; of\; the \:circle=2\pi r}[/tex]

[tex]\tt 2\pi \times 9[/tex]

[tex]\tt 9\times 2\pi[/tex]

[tex]=\tt 18\pi[/tex]

Step 2:- find the arc length of 1/2 of the circle →

The arc length is 1/2 of the circumference of the circle:-

[tex]\boxed{\sf Circumference \; of \;\cfrac{1}{2}\; of\; the \; circle=\cfrac{1}{2}\times 18\pi}[/tex]

[tex]\tt \cfrac{18}{2} \pi[/tex]

[tex]\boxed{\tt 9\pi}[/tex]

Therefore, the arc length of the semicircle is .

pls help

The perimeter of a rectangle is 24.
Write the function that describes its area in terms of one of the sides


The perimeter of a rectangle is 24. What is the maximum possible area of such rectangle?

The perimeter of a rectangle is 24. For what length of sides does the maximum area occur for this rectangle?

Answers

The function that describes the area of the rectangle in terms of one of the sides is A = 12L - L².

How to compute the area?

The perimeter of the rectangle is given as 24. Therefore, the area in terms of one of its side will be:

A = L(24 - 2L)/2

A = L(12 - L)

A = 12L - L²

The length side for the maximum area will be 6 and 6. The maximum area of the rectangle will be:

= 6 × 6

= 36

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tan^(2)x-tanx=0
Pls Help

Answers

Answer:

[tex]x=\frac{3\pi }{4} ,\frac{7\pi }{4}[/tex]

If wrong then [tex]x=-\frac{\pi }{4}.[/tex]

Step-by-step explanation:

[tex]tan^2(x)-tan(x)=0[/tex]

Factor out the tan(x).

[tex]tan(x)*(tan(x)-1)=0[/tex]

Solve for x.

[tex]tan(x)\neq 0\\[/tex] thus only option is tan(x)-1=0

[tex]tan(x)-1=0\\tan(x)=1\\[/tex]

x=tan^-1(1)⇒

Either it is Quadrant 2 or 4.

[tex]x=\frac{3\pi }{4} ,\frac{7\pi }{4}[/tex]

If the teacher says its wrong. Then that could only mean that its range of tan(x) is between [tex]-\frac{\pi }{2} < x < \frac{\pi }{2}[/tex] thus it's only on quadrant 4. [tex]x=-\frac{\pi }{4}[/tex]

Help quick please!

A coin is tossed 30 times, and it comes up heads 18 times.
What is the experimental probability of tossing tails?

Answers

Answer:

0.4 or 2/5

Step-by-step explanation:

If head is 18/30, then that means that tails must be 12/30, since they must add up to one whole.

Reduce it to simplest terms: 2/5 or 0.4

The lens and mirror in Figure P23.51 are separated by 1.00 m and have focal lengths of +79.2 cm and -50.6 cm, respectively. If an object is placed 1.00 m to the left of the lens, locate the final image.

Answers

The location final image from the mirror, which is made when an object is placed 1.00 m to the left of the lens, is 0.58 right to the mirror.

What is the focal length of the lens?

The focal length of the lens is the length of the distance between the middle of the lens to the focal point.

It can be find out using the following formula as,

[tex]-\dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}[/tex]

Here, (v)is the distance of the image, (u) is the distance of the object, and (f) is the focal length of the lens.

The lens and mirror in the Figure are separated by 1.00 m and have focal lengths of +79.2 cm and -50.6 cm, respectively. Change the units of focal length in meters,

[tex]f_l=79.2\text{ cm=0.792 m}\\f_m=-50.6\text{ cm=0.506 m}[/tex]

An object is placed 1.00 m to the left of the lens. Put the value in the lens formula as,

[tex]-\dfrac{1}{v_l}+\dfrac{1}{1}=\dfrac{1}{0.792}\\-\dfrac{1}{v_l}=\dfrac{1}{0.792}-1\\v_1=3.81[/tex]

The distance of the image made by lens is 3.81 meters. The distance of this image from the mirror is,

[tex]u_2=3.81-1\\u_2=2.81\rm \; m[/tex]

This distance is work as object distance for the mirror. The focal length of mirror is -0.506 m. Thus, the location of the final image is,

[tex]-\dfrac{1}{v_2}+\dfrac{1}{3.81}=\dfrac{1}{-0.506}\\\dfrac{1}{v_2}=-\dfrac{1}{3.81}-(-\dfrac{1}{0.506})\\v_2=-0.58[/tex]

Thus, the location final image from the mirror which is made when an object is placed 1.00 m to the left of the lens, is 0.58 right to the mirror.

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1 2 3 4 5 6 7 8 9 10
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2?
StartFraction x Superscript one-half baseline Over y z squared EndFraction
StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
StartFraction y Superscript one-half Baseline Over x z squared EndFraction
StartFraction x z squared Over y Superscript one-half EndFraction

Answers

Using the conversion of exponent to power, the equivalent expression is given as follows:

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

How to transform an exponent to a power?

It happens according to the following rule, with the denominator as the root and the numerator as the exponent:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

In this problem, we are given the following expression:

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Negative exponents go to the denominator, hence the equivalent expression is given by:

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

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please helpppp

An air conditioner manufacturer recommends that its portable units provide between 4 and 6 BTUs of cooling per cubic foot to operate most efficiently. Which statement is true?

A 16,000-BTU air conditioner meets the manufacturer recommendation for a room measuring 20 feet by 20 feet with a standard 8-foot ceiling.
A 14,000-BTU air conditioner meets the manufacturer recommendation for a room measuring 10 feet by 20 feet with a standard 8-foot ceiling.
A 20,000-BTU air conditioner will be too large for a room measuring 20 feet by 40 feet with an 8-foot ceiling.
A 12,000-BTU air conditioner will be too small for a room that is 15 feet by 10 feet with a 10-foot ceiling.

Answers

The statement is true is: A 16,000-BTU air conditioner meets the manufacturer recommendation.

Recommended BTU

Option A

BTUs=16,000/(20 feet×20 feet×8 foot)

BTUs=16,000/3200 feet

BTUs=5 BTUs

Option B

BTUs=14,000/(10 feet×20 feet×8 foot)

BTUs=14,000/1600 feet

BTUs=8.75 BTUs

Option C

BTUs=20,000/(20 feet×40 feet×8 foot)

BTUs=20,000/6400 feet

BTUs=3.125 BTUs

Option D

BTUs=12,000/(15 feet×10 feet×10 foot)

BTUs=12,000/1500 feet

BTUs=8 BTUs

Based on the calculation above only option A with 5 BTUs fall between 4 and 6 BTUs.

Therefore the statement is true is: Option A.

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Need help with question 15 I did the work for it but the answer was wrong somehow it didn't work out question is on the photo

Answers

Answer:

336, (B)

Step-by-step explanation:

To find the surface area, find the area of each square and triangle

10x12 + 2(6x8)/2 + 12x6 + 8x12

This would then be,

120 + 48 + 72 + 96

Surface area = 336, (B)

You made a mistake on step 2.

When finding the area of triangle, you have to divide by 2.

Hope this helps!

In which expression is the coefficient of the n term -1?

Answers

Answer: c ???????????????????

Step-by-step explanation:

Liz leaning a total of 10 appetizers recipes over the course of 2 week of culinary school .

Answers

The number of appetizers that Liz would have learnt after 4 weeks given the unit rate is  20.

How many appetizers would Liz have learnt in 4 weeks?

The first step is to determine the unit rate of appetizers that Liz learns.

Unit rate = total number of appetizers / total number of weeks

10 /2 = 5 appetizers

Number of appetizers Liz would learn in 4 weeks = 4 x 5 = 20

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round 789 to the nearest 10

Answers

Rounding 789 nearest to tens will be 790.

Step-step Explanation:

Let's know how to round any number nearest to tens (Rules):-

We know tens place in any no. from left is at second place and number right to tens place need to be changed as:-

If last digit is 0, then we don't have to do any rounding, because it is already to the ten.

We round the no. down to the nearest ten if the last digit in the no. is 1, 2, 3, or 4

We round the no. up to the nearest ten if the last digit in the no. is 5, 6, 7, 8, or 9.

Answer:

790

Step-by-step explanation:

Mrs. Smith bought 3 pies for her family dinner. There were 10 people eating dinner. How much pie did each person get?

Answers

Answer:

Each person received 3/10 of pie

Step-by-step explanation:

3 dived by 10 equals 0.3 which is equivalent to 3/10

If f(x) = 1 / (3x – 5), what is the inverse of f?

Answers

Answer:f^-1(x) = 1/3x + 5/3

Step-by-step explanation:

Which of the following values are solutions to the inequality -1 + 4x < -1?
I.4
II. 1
III. 0

Answers

Answer:

4

Step-by-step explanation:

what is the polynomial of (-3,0)(2,0)(2,0)(3,0)

Answers

Answer:(-2,0) and (3,0)

Step-by-step explanation:im not sure if its correct but it should be

PQR is a right angled triangle. The area of the triangle is 6cm² and |QR|= 3cm.
find |PR|​

Answers

Answer:

PQ = 4cm

QR = 3cm

PR = 5cm

Area = 6cm²

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

6 = 0.5 × 3 × PQ

Let PQ be = x

6 = 0.5 × 3 × x

[tex] \frac{6}{0.5 \times 3} = x[/tex]

x = 4cm

PQ = 4cm

Since, it is a right angled triangle applying Pythagoras Theorem,

PR =

[tex] \sqrt{ {3}^{2} + {4}^{2} } \\ = \sqrt{9 + 6} \\ = 5cm[/tex]

PR = 5cm

Give the Least Common Denominator for
7ths, 5ths, and halves.

Answers

Answer:

7x5x2 = 70

There are no other smaller factors that include all of the given numbers

2. Find m angle 1

73

88

60

80

Answers

Answer:

88

Step-by-step explanation:

angles on a straight line add up to 180

180-120=60

angles in a triangle add up to 180

60+32=92

180-92=88

angle 1=88

Find the surface area of the cube with 2/3 units squared

Answers

Answer:

8/3 or 2.66.. units

           

Step-by-step explanation:

TSA of cube = 6a²

side = 2/3

= 6 x (2/3)²

= 6 x 4/9

= 2 x 4/3

=8/3

Ans = 8/3 units or 2.66.. units

HAVE A NICE DAY

STAY SAFE

PLS MARK BRAINLIST IF IT IS CORRECT

Please help with this questions

Answers

Answer:

16 x ^ -1/5

Step-by-step explanation:

Rate Time = Distance
How many hours will it take to complete a 63-km bike ride if you go 20 km per
а
hour the whole time?
Answer here
SUBMIT

Answers

3 hours and 3 minutes
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