How can 3.7 = x + (negative 5) be solved for x in one step? Add 3.7 to both sides. Add 5 to both sides. Subtract 3.7 from both sides Subtract 5 from both sides

Answers

Answer 1

Answer:

Add 5 to both sides.

Step-by-step explanation:

3.7 = x + (-5)

3.7 + 5 = x + ( -5) + 5

5 cancels on the right

8.7 = x

Answer 2

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3.7=x+(-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 3.7=x-5

Add 5 to both sides of an equation, we get

3.7+5=x-5+5

x=8.7

The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.

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Related Questions

18
A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.

Answers

Answer:

  2.53×10^8 liters

Step-by-step explanation:

  (8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

What is the value of the expression below when w equals
8?
W^2- 4w - 2

Answers

Answer:

When w =8. then...

8^2-4(8)-2.

64-32-2=30.

Answer:

Step-by-step explanation:

Plug in the value of w in the expression and use PEMDAS

w² - 4w - 2 = 8² - 4*8 - 2    {Need to calculate exponents}

                   = 64 - 4*8 - 2  {Now do multiplication}

                   = 64 -  32 - 2

                 =   32 - 2

                 = 30

Given that f(x) = 6x + 2 and g(x) =
2x + 4
5
solve for g(f(1)).
1
03
4
8

Answers

Answer:

[tex]\displaystyle g(f(1)) = 20[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=6x+2 \text{ and } g(x)=2x+4[/tex]

And we want to find:

[tex]g(f(1))[/tex]

First, find f(1):

[tex]\displaystyle \begin{aligned} f(1) &= 6(1) + 2 \\ &= 6 + 2 \\ &= 8 \end{aligned}[/tex]

Substitute:

[tex]g(f(1))=g(8)[/tex]

Find g(8):

[tex]\displaystyle \begin{aligned} g(8) &= 2(8) + 4 \\ &= 16 + 4 \\ &= 20 \end{aligned}[/tex]

In conclusion:

[tex]\displaystyle g(f(1)) = 20[/tex]

Choose the number line that correctly compares 24 and 4.256

Answers

c sqrt24 is 4.8989 so it’s placed there

A number line shows the comparison between numbers, at a regular interval.

The correct number line that compares [tex]\sqrt{24[/tex] and [tex]4.256[/tex] is (c)

The numbers are given as:

[tex]n_1 = \sqrt{24}[/tex]

[tex]n_2 = 4.256[/tex]

So, we have:

[tex]n_1 = \sqrt{24}[/tex]

Take square roots

[tex]n_1 = 4.899[/tex]

4.899 is greater than 4.256 i.e. [tex]n_1 > n_2[/tex]

So, we have:

[tex]\sqrt{24} > 4.256[/tex]

Number lines increases in value towards the right. This means that:

[tex]\sqrt{24}[/tex] will be at the right-hand side of 4.256[tex]\sqrt{24[/tex] will be between 4.8 and 4.9

Hence, the correct number line is: (c)

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(12x - 1.7) - (17x + 6.7) =

Answers

Answer:

-5x-8.14 is the correct answer

Step-by-step explanation:

First distribute the terms

12x - 1.7 - 17x  -6.7 =

Then add/subtract similar terms

12x - 17x = -5x

-1.7 -6.7 = -8.14

so it's -5x -8.14

:)

Answer: -5x-8.4

Step-by-step explanation:

[tex]\left(12x-1.7\right)-\left(17x+6.7\right)[/tex]

remove the parentheses

[tex]12x-1.7-17x-6.7[/tex]

Simplify

Group like terms

[tex]12x-17x-1.7-6.7[/tex]

Add

[tex]12x-17x=-5x=[/tex]

[tex]-5x-1.7-6.7[/tex]

Subtract

[tex]-1.7-6.7=-8.4[/tex]

= [tex]-5x-8.4[/tex]

R(x)=2√x s(x)=√x (rs)(4)

Answers

Answer:

               (rs)(4) = 8

Step-by-step explanation:

r(x)=2√x         s(x)=√x

(rs)(x) = r(x) × s(x) = 2√x ×√x = 2x

(rs)(4) = 2×4 = 8

Answer:

The second one is 2

Step-by-step explanation:

Just got it right on edg

You work at a craft store that sells paint kits. The kits have 4 thin paintbrushes for every 6 thick brushes. What is
ratio of thick paintbrushes to thin paintbrushes? a.2:3
b.3:2
c.2:4
d.6:10
e.10:6

Answers

Answer:

b. 3:2

Step-by-step explanation:

thick paintbrushes : thin paintbrushes

6 : 4 (both can be divide by 2,so we simplifiy by dividing both with 2)

3 : 2

The solution is Option B.

The ratio of thick paintbrushes to thin paintbrushes is 3 : 2

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the equation be represented as A

Now , the value of A is calculated as

Let the number of thin paintbrushes in the kit be = x

The value of x = 4

Let the number of thick paintbrushes in the kit be = y

The value of y = 6

Now , the proportion is given by

The ratio of thick paintbrushes to thin paintbrushes = number of thick paintbrushes in the kit / number of thin paintbrushes in the kit

Substituting the values in the equation , we get

The ratio of thick paintbrushes to thin paintbrushes = 6 / 4

The ratio of thick paintbrushes to thin paintbrushes = 3 / 2

The ratio of thick paintbrushes to thin paintbrushes = 3 : 2

Therefore , the value of A is 3 / 2

Hence , the ratio of the paintbrushes is 3 : 2

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Which number is prime? 21 22 23 24

Answers

Answer:

23 is the prime number

How?

21 is divisible by 3

21 is divisible by 322 is divisible by 2

21 is divisible by 322 is divisible by 223 is not divisible by any no.

21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

prime numbers - prime numbers numbers are those numbers who have only one factor 1 and that no it self

21 is divisible by 3 and 7 so it is not a prime number22 is divided by 2 and 11 so it is not a prime number23 is divisible by oly 1 and the number it self it means 23 is a prime number24 is divisible by 2 , 3, 4, 8, 12

Hope it helps u mate

If a sample mean is 7 and the confidence interval is from 4 to 10, then the
margin of error must be plus or minus
4
10
7
3
6

Answers

Answer:

±3

Step-by-step explanation:

4 - 7 = -3

10 - 7 = 3

If their is 17 boys and 16 girls what is the percent of girl in the class

Answers

Answer:

48.484848 repeating   %

Step-by-step explanation:

The total number in the class is

17+16 = 33

Percent girls is girls/total = 16/33 =.48484848 = 48.484848 repeating   %

There are two 3-digit numbers $n$ having the property that $n$ is divisible by 11 and $\dfrac{n}{11}$ is equal to the sum of the squares of the digits of $n$. Find both values of $n.$ You may submit them in either order.

Answers

Answer:

550 and 803

Step-by-step explanation:

Let the number be N = abc

Then:

abc/11 = (a² + b² + c²) ⇒ abc = 11(a² + b² + c²)

There are:

1000 - 100 = 900 3-digit numbers

Out of 900 numbers:

1000/11 - 100/11 = 81 are divisible by 11

The easiest and simplest way is to try them all.

The trial reveals 550 and 803, so this is the answer.

∠A and ∠B are complementary angles. The measure of ∠A=4x° and the measure of ∠B=50°. Find m∠A. * i dont understand can someone help?

Answers

Answer:

m>a is 40

Step-by-step explanation:

4x + 50 = 90

4x = 40

x = 10

10*4 = 40

M>A = 40

Mrs.Ruiz bought 4 14 pounds of sliced of ham for $17. At that rate, what is the cost of 1 pound of sliced ham

Answers

Answer:

Cost of 1 pound if sliced ham = $4

Step-by-step explanation:

Mrs. Ruiz bought 4 1/4 pounds of sliced ham for $17. At that rate, what is the cost of 1 pound of sliced ham?

Total pounds of ham bought= 4 1/4 pounds

Total cost = $17

what is the cost of 1 pound of sliced ham

Cost of 1 pound if sliced ham = Total cost of 4 1/4 sliced ham / 4 1/4

= $17 ÷ 17/4

= 17 × 4/17

= 4

Note:4 1/4 = 17/4

Cost of 1 pound if sliced ham = $4

Check:

4 1/4 pounds × $4 per pound

= 17/4 × 4

= $17

According to Euclidean geometry, a plane contains at least points that on the same line.

Answers

Answer:

According to Euclidean geometry,a plane contains at least THREE points that DO NOT LIE on the same line.

Step-by-step explanation:

Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

According to Euclidean geometry, a plane contains at least; 3 Points

The 3 points; do not lie on the same line

In Euclidean Geometry, a plane is defined as a flat surface that extends infinitely in all directions. It further states that for any three non-collinear points, there exists exactly one plane passing through them.

Now, planes can either be parallel or they can possibly intersect each other in a line and the three collinear points must not lie on the same line

In conclusion, looking at the question we can say that a plane contains at least 3 points on the same line.

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simplify 3^5 • 3^4

a. 6^9
b. 3^9
c. 3 • 20
d. 3^20

Answers

Answer:

The answer is option B

Step-by-step explanation:

[tex] {3}^{5} . {3}^{4} [/tex]

To solve this question we use the rules of indices.

That's since the bases are the same and are multiplying we add the exponents

That's

[tex] {a}^{x} . {a}^{y} = {a}^{x + y} [/tex]

So from the question

[tex] {3}^{5} . {3}^{4} = {3}^{5 + 4} [/tex]

We have the final answer as

[tex] {3}^{9} [/tex]

Hope this helps you

Answer:

b

Step-by-step explanation:

Help me please
Surds

Answers

Answer:

12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(4[tex]\sqrt{3}[/tex] + 2[tex]\sqrt{2}[/tex] )(3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

4[tex]\sqrt{3}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) + 2[tex]\sqrt{2}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) ← distribute both parenthesis

= 12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]

Amovie ticket costs $10, and it costs an additional p dollars to buy a small popcorn. The total cost for 3 people to go to the Movie theater and each buy a popcorn is $42. How much does it cost for one person to buy a popcorn? It would cost $ for one person to buy a popcorn.​

Answers

Answer:

14

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

A movie ticket costs 10 dollars, and three people go.

10 x 3 = 30

42 - 30 = 12

The leftover money is for buying popcorn for each person.

12 / 3 = 4

So, it would cost 4 dollars for one person to buy a popcorn.

Please help

Marcus went to the county fair, where he paid to enter and was charged for each ride. This is modeled by the expression 2x + 7. Identify and interpret the constant in the expression. Explain.​

Answers

The constant is 7

The interpretation of this constant is Marcus paying to enter the county fair.

Could someone solve this? Thank you!

Answers

i will solve it in just a second
I’ll help you solve this equation!

Simplify the expression. -(6)-1
A: -1/6
B: 1/6
C: 6
D: -1

Answers

It’s letter B I think I’m not as positive

1. A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30° to the ground. Find the
horizontal and vertical component of the force.

Answers

Answer:

3

Step-by-step explanation:

The horizontal component of the force is 25.98 lb and the vertical component is 15 lb.

What is vector?

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

Given that,

The force applied by the man is 30 lb.

The angle the force makes with ground is 30°.

For a vector A making angle x with the horizontal axis the horizontal and vertical component are given as,

The horizontal component is ACos(x)

And, the vertical component is ASin(x)

Thus, the horizontal and vertical component of the force are

Horizontal component = 30Cos(30°)

                                      = 30 × √3 / 2

                                      =  25.98

Vertical component = 30Sin(30°)

                                  = 30 × √3/2

                                  = 15

Hence, the horizontal and vertical components of the force are 25.98 lb and 15 lb respectively.

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What is the range of h?

Answers

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

HI!! Please help me asap, thank you!

Answers

Answer: -24.8 or 24 4/5

Step-by-step explanation:

How to find the mean: add up ALL the number you want or need then DIVIDE by how many there are.

So: -28 + -26 + - 13 + -39 + -18 = -124

You are not done though.

You HAVE to divide -124 by 5.

so your mean should be -24.8 degrees feriheit,

URGENT!

B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.

Answers

Answer: 25 units.

Step-by-step explanation:

Given: B is the midpoint of line segment AC.

[tex]\Rightarrow\ AB=\dfrac{AC}{2}[/tex]

If [tex]AB = 4x + 1[/tex] and [tex]AC = 5x + 20[/tex], then we have

[tex]4x+1=\dfrac{5x+20}{2}[/tex]

Multiply 2 on both sides, we get

[tex]2(4x+1)=5x+20\\\\\Rightarrow\ 8x+2=5x+20\\\\\Rightarrow\ 8x-5x=20-2\\\\\Rightarrow\ 3x=18\\\\\Rightarrow\ x= 6[/tex]

Now, AC = 5(6)+20 =30+20=50 units

Then, BC= [tex]\dfrac{50}{2}=25\text{ units}[/tex]  

Hence, the length of BC is 25 units.

Given A(1, 5) and B(3, 13), find AB.

Answers

[tex]\dag\bf\:A(x_1,y_1)=(1,5)[/tex]

[tex]\dag\bf\:B(x_2,y_2)=(3,13)[/tex]

We have to find distance between point A and point B[tex].[/tex]

[tex]\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4+64}[/tex]

[tex]:\implies\tt\:AB=\sqrt{68}[/tex]

[tex]:\implies\tt\:AB=\sqrt{4(17)}[/tex]

[tex]:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}[/tex]


Plz help me I need so much help

Answers

Answer:

  see below

Step-by-step explanation:

We have to assume that the question is referring to the doubly-shaded length, the one that is 10 bright blue units long.

You can read the overall length of the shaded area as 5/4, from the markings.

For the next part, you need to count the number of units that are shaded bright blue (10) and the number that are shaded blue overall (15). As a fraction of those shaded blue overall, the ones shaded bright blue are 10/15 = 2/3.

So, the length shaded bright blue is 2/3 of the overall length of 5/4. It is represented by the product ...

  [tex]\boxed{\dfrac{2}{3}\times\dfrac{5}{4}}[/tex]

What does –5(–2) equal? I’ll give brainiest

Answers

Answer:

Um... positive ten.

Step-by-step explanation:

negative * negative= positive. So the answer is ten.

Answer:

10

Step-by-step explanation:

● -5 (-2)

● (-5) × (-2)

The product of two negative numbers is a positive number

● 5×2

● 10

12y+6=6(2y+1) does it have a soultion

Answers

Answer:

12y + 6 = 12y + 6

Step-by-step explanation:

both sides are identical, so no.

Answer:

because y=y it has infinitely many solutions

Step-by-step explanation:

Examine the table of input (x) and output (y) values below. Is there a relationship between the input and output values? If so, write an equation for this relationship.

Answers

Answer:

y = 3x -1

Step-by-step explanation:

y = mx +/- b

To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.

to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".

i.e.

2 = 1m - 1

3 = 1m

m = 3 = slope

If you use this with any of the other values you will get the same result.

I hope this helps!

-TheBusinessMan

-

Evaluate the following expression, let a = -1, b = 3, and c = 0
10a
lla +4

Answers

Answer:-10,-7

Step-by-step explanation:

10*-1=-10

11*-1+4=-7

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