ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5

Answers

Answer 1

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

Answer 2

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is equivalent equations?

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

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Related Questions

The measurement of the supplement of an angle is 39 more than half the angle. find the measure of the angle and its complement​

Answers

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

Any one help thx I'm just stuck on this​

Answers

Answer:

A) 9 => 6 => 3 => 0 => -3 => -6

B) Using Formula

[tex]a_{n}= a_{1} + d(n-1)[/tex]

=> [tex]a_{n } = 9+3(n-1)[/tex]

=> [tex]a_{n}= 9+3n-3\\a_{n} = 3n+6[/tex]

Answer: [tex]a_{n }= 3n+6[/tex]

Solve 2x-3=20 please

Answers

Answer:

x = 11.5

Step-by-step explanation:

Given

2x - 3 = 20 ( add 3 to both sides )

2x = 23 ( divide both sides by 2 )

x = [tex]\frac{23}{2}[/tex] = 11.5

Can somebody help me with this question ?? :)

Answers

Answer:

x = 44°

Step-by-step explanation:

Since this is an isosceles triangle, the other angle that isn't defined is also 68°. So, since all the angles add up to 180°,

x + 68(2) = 180

x + 136 = 180

x = 44°

Answer:

44 is the answer

Step-by-step explanation:

Solve the following using the order of operations: 2/3+ 5/6 divide 1/2

Answers

First option is the correct answer

Answer:

[tex] 2 \frac{1}{3} [/tex]

Step-by-step Explanation:

[tex] \frac{2}{3} + \frac{5}{6} \div \frac{1}{2} \\ \\ = \frac{2}{3} + \frac{5}{6} \times \frac{2}{1} \\ \\ = \frac{2}{3} + \frac{5}{3} \\ \\ = \frac{2 + 5}{3} \\ \\ = \frac{7}{3} \\ \\ = 2 \frac{1}{3} [/tex]

Answer:

its the first option 2 1/3

Step-by-step explanation:

Can somebody answer this ?? :)

Answers

Answer:

Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.

Reflect triangle a in the x axis to give triangle b. Then rotate your triangle b 90 degrees clockwise around the origin to give triangle c. Describe fully the single transformation that maps triangle a onto c

Answers

Answer:

The single transformation that maps a onto c is the reflection of the triangle a  about the line y = -x

Step-by-step explanation:

To answer the question, we note that the result of reflection of a point (x, y) across the x axis is given as follows;

Coordinates before reflection = (x, y), Coordinates after reflection = (x, -y)

Also, when we rotate a  point, (x, y), 90° clockwise, we have;

Image point before 90° clockwise rotation = (x, y), Image point after 90° clockwise rotation = (y, -x)

Therefore, the rotation of the point (x, -y), 90° clockwise will give

Image point before 90° clockwise rotation = (x, -y), Image point after 90° clockwise rotation = (-y, -x)

Which gives the combined transformation as (x, y) → (-y, -x) which is the rule equivalent to reflection about the line y = -x.

Ava Made 100 cranes and B made 3/4 of the number of the paper cranes to Ava. Ava gave 9/20 of her cranes to B. Then, B gave 1/4 of her paper to Ava. How many more cranes did B have than Ava in the end?

Answers

Answer:

B have 5 more cranes than Ava.

Step-by-step explanation:

As per question statement:

Number of cranes with Ava = 100

Number of cranes with B = [tex]\frac{3}{4}[/tex] of the paper cranes that Ava has

[tex]\therefore[/tex] Number of cranes with B = [tex]\frac{3}{4}\times 100 =75[/tex]

Now, let us proceed step by step.

Step 1: Ava gave [tex]\frac{9}{20}[/tex] of her cranes to B:

i.e. [tex]\frac{9}{20} \times 100 = 5 \times 9 =45[/tex] cranes given to B

Now, number of cranes with Ava = 100 - 45 = 55

Number of cranes with B = 75 + 45 = 120

Step 2: B gave [tex]\frac{1}{4}[/tex] of her paper cranes to Ava:

i.e. [tex]\frac{1}{4} \times 120 = 30[/tex] cranes given to B

Now, number of cranes with Ava = 55 + 30 = 85

Number of cranes left with B =  120 - 30 = 90

So, the answer is:

Number of cranes that B have more than that of Ava = 90 - 85 = 5

Find the area of a triangle with a base length of 3 units and a height of 4 units.
3 square units
6 square units
7 square units
8 square units
Is it 6 square units? Tell me if i'm wrong.

Answers

Answer:

area of triangle

= 1/2 × base × height

= 1/2 × 3 units × 4 units

= 6 units²

you’re right because area of a triangle =1/2 x base x height = 1/2 x 3 units x 4 units =6 units

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.





Trigonometric area formula: Area =

Answers

Answer:

40 ft

Step-by-step explanation:

Triangle ABC is given by AB = 13 ft, BC = 10 ft, ∠ACB = 50° and AC = b. Let AB = a = 13 ft, BC = c = 10 ft

Since two sides are given and one angle is given, to find the other side, we use the cosine formula. The cosine formula is given by:

[tex]c^2=a^2+b^2-2abcos(C)\\b^2=c^2-a^2+2abcos(C)\\substituting\ values:\\b^2=13^2-10^2+2*10*bcos(50)\\b^2=169-100+12.86b\\b^2-12.86b=69\\b^2-12.86b-69=0\\ solving\ simultaneously\ gives:\\b=16.93\ ft[/tex]

The perimeter of the triangle is given by:

Perimeter = AB + BC + AC = 13 + 10 +16.93 = 39.93 ft ≈ 40 ft

I, myself self am not too good at Sin, Con, and Tan so I could use some help on double-checking if this is correct??

Answers

Answer:

[tex] \tan(a) = \frac{28}{45} [/tex]

look from the tan A angle , the opposite is 28 and adjacent is 45

anyone know how to do this

Answers

Answer:

x ≈ 4

Step-by-step explanation:

We use tan∅ to solve this:

tan30° = x/7

7(tan30°) = x

x = 4.04145

Remember that tangent is opposite over adjacent.

A member only speaker series allows people to join for 6$ and then pay 4$ for every event attended .What is the maximum number of events someone can attend for a total cost of 50$

Answers

Answer:

11

Step-by-step explanation:

50-6=44

44/4=11

The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100

Answers

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = [tex]\frac{60}{100}(x+y)[/tex]

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

[tex]\frac{y}{60}=\frac{x}{40}[/tex]

Now substitute the value of y from equation (1),

[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]

[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]

[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]

  Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].

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C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, explain how to find determinant and provide the answer

Answers

Answer:

Step-by-step explanation:

A 2 × 2 matrix has 2 rows and 2 columns

Let us assume that matrix A is expressed as

a b

c d

The determinant of matrix A would be

(a × d) - (b × c)

Given that the determinant of matrix A is 3, it means that

ad + bc = 3

If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

6c 6d

2a 2b

The determinant would be

(6c × 2b) - (2a × 6d)

Determinant = 12bc - 12ad

Find the volume of the prism.
13ft 7ft

Answers

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

The equations x minus 2 y = 1, 3 x minus y = negative 1, x + 2 y = negative 1, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, negative 1). Orange line goes through (negative 1, negative 1) and (0, 1). Pink line goes through (0, 1), and (2.5, negative 1). Blue line goes through (0, 1) and (negative 2.5, negative 1). Which system of equations has a solution of approximately (0.6, –0.8)? x + 2 y = negative 1 and 3 x + y = 1 x minus 2 y = 1 and 3 x + y = 1 x minus 2 y = 1 and 3 x minus y = negative 1 x + 2 y = negative 1 and 3 x minus y = negative 1

Answers

Answer: (a) x + 2y = -1  and  3x + y = 1

Step-by-step explanation:

I am not sure what the purpose was for the colored lines but I included them on the graph (below).

Answer:

The answer is A

Step-by-step explanation:

I took to the unit test on edge

please solve it it's argent

Answers

Answer:

-14

Step-by-step explanation:

First make sure the fractions on the right have the same denominator.

LCM of 3 and 4 = 12.

So,

Numerator of fractions = 8x-4 and 9x

Now they have the same denominator, combine both fractions.Now you have

-x-4/12=5/6

Rearrange and solve

-x-4 = 10

-x = 14

x = -14

Hope this helps.

Answer:

X=-14

Solution,

[tex] \frac{2x - 1}{3} - \frac{3x}{4} = \frac{5}{6} \\ or \: \frac{4(2x - 1) - 3x \times 3}{12} = \frac{5}{6 } \\ or \: \frac{8x - 4 - 9x}{12} = \frac{5}{6} \\ or \: \frac{ - x - 4}{12} = \frac{5}{6} \\ or \: 6( - x - 4) = 12 \times 5 \\ or \: - 6x - 24 = 60 \\ or \: - 6x = 60 + 24 \\ or \: - 6x = 84 \\ or \: x = \frac{84}{ - 6} \\ x = - 14[/tex]

hope this helps..

Good luck on your assignment..

Given the mean and most of the set data, please find the missing value of x in each set.
a) {3,5,6,8,9,2,1,0,5,x}; mean = 4
b) {6,7,2,9,4,x); mean = 5

Answers

Answer:

a. 1

b. 2.

Step-by-step explanation:

a) There are a total of 10 numbers so we have:

4 * 10 = 3+5+6+8+9+2+1+0+5+x

40 = 39 + x

x = 1.

b) 5*6 = 28 + x

x = 2.

what’s the answerrrrr?

Answers

Answer:

B

Step-by-step explanation:

In B, the oranges is always 3 times the cups of juice. So it always follows the ratio 3:1.

Answer: B

Explanation:

3:1, 6:2, 9:3 are all proportional relationships

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? What is the solution to the system?

Answers

Answer:

1: 8x=32

2: (4,6)

Step-by-step explanation:

Answer:  1) 8x=32       2) (4,6)

Step-by-step explanation:

Hope this helps!

Mark me brainliest!

Pls and ty!

Which is the graph of y = 3^ cube root x+1-2

Answers

Answer:

Plot[-1 + 3^Surd[x, 3], {x, -20, 28}]

Can someone help wit that asap

Answers

Answer:

A

Step-by-step explanation:

The important thing here is that for the quadratic formula to be able to be applied you need the equation to be equal to 0. Then in this case we know that once it is equal to 0 the coefficients have to be: a = 1, b = 3, c = 24

Only A satisfies both conditions

Find the Missing length indicated

Answers

Answer:

960

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

x^2 = 576 × 1600

x = 960

Simplify the following expression. It’s for my math assignment, please help.

Answers

Answer:

[tex]3t^9[/tex]

Step-by-step explanation:

Image attached below.

Which of the following is an arithmetic sequence?
O A. 4,-4,4-4, 4....
OB. 1,1,2,3,5,8,...
O C. -2, 3, 8, 13, 18,...
1
1
O D. 1,
2' 1'16

Answers

Answer:

C :) Hope this helps!

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRAINLIEST The weight of a box of cereal can vary by one fourth of an ounce and still be sold as a full box. Each box is supposed to contain 18 ounces of cereal. Which graph represents the possible weights of boxes that are overfilled or underfilled and cannot be sold as full boxes?

Answers

Answer:

The third option

Step-by-step explanation:

Answer:

It is number 1 because they are asking for over or under 18

Step-by-step explanation:

Hope this helps!

what is the sum of the rational expressions below? x+3/x-2 + 3x-8/x-2

Answers

Answer:      [tex]\bold{\dfrac{4x-5}{x-2}}[/tex]

Step-by-step explanation:

Since the expressions have the same denominator, we simply need to add the numerators.

[tex]\dfrac{x+3}{x-2}+\dfrac{3x-8}{x-2}\quad =\quad \dfrac{x+3+3x-8}{x-2}\quad = \quad \large\boxed{\dfrac{4x-5}{x-2}}[/tex]

If f(x)=3x+10x and g(x)= 2x-4, find (f+g)(x)

Answers

Answer:

=3^x +12x -4

Step-by-step explanation:

f(x)=3^x+10x

g(x)= 2x-4,

(f+g)(x) =  3^x+10x+ 2x-4,

Combine like terms

            =3^x +12x -4

How does the graph of f(x)=(x+2)^4+6 compare to the parent function g(x)=x^4

Answers

Answer:

Horizontally moved left by 2 units

Vertically moved up by 6 units

Step-by-step explanation:

Parent Function Transformations: [tex]f(x) = a(x - c)^4 + k[/tex]

a is denoted as vertical shrink or stretch

c is denoted as horizontal movement

k is denoted as vertical movement

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