Why is it important to be able to translate word problems into equations?

Answer:

x = -2

Step-by-step explanation:

Remove brackets

-5x - 2 = -2x + 4

Rearrange by collecting the like terms and putting them on either side

-5x + 2x = 4 + 2

Simplify

-3x = 6

Divide both sides by -3 to make x on its own

-3/-3x = 6/-3

x = -2

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

Answer:

im pretty sure its 40%

Step-by-step explanation:

Answer:

The sweater is 40% off

Step-by-step explanation:

Answer:

29/5

Step-by-step explanation:

5 4/5=(25+4)/5

29/5

Hope I helped! Please mark Brainliest!!!

Answer: The answer is [tex]\frac{29}{5}.[/tex]

Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:

Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]

Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]

Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]

Conclusion Step-By-Step Explanation:

Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]

I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer: QPR=31

Step-by-step explanation: first you would combine 3x and 7x which equals 10x. Then you combine -95 and -38 which equals -133. then you set up an equation like 10x - 133 = 47. Add 133 to both sides. 10x = 180. Divide both sides by 10. X= 18. 18 times 7 equals 126. 126 - 95 equals 31

Answer:

The correct answer is Line EA and Line FG

Step-by-step explanation:

Answer:

f(-x)=-f(x)

So, Function f is odd

Option C is correct.

Step-by-step explanation:

Which statement is true about function f, which is shown in the graph?

f(x)= -8x⁵+ 4x³+5x?

Function is even if f(-x)= f(x)

and function is odd if f(-x)=-f(x)

Putting x=-x and finding f(-x)

f(-x)=-8(-x)^5+4(-x)^3+5(-x)

f(-x)=-8(-x^5)+4(-x^3)-5x

f(-x)=+8x^5-4x^3-5x

f(-x)=-(-8x^5+4x^3+5x)

f(-x)=-f(x)

So, Function f is odd

Option C is correct.

The function f(x) = -8x⁵+ 4x³+5x is an odd function option (C) Function f is odd is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -8x⁵+ 4x³+5x

Plug x → -x

f(-x) = -8(-x)⁵+ 4(-x)³+5(-x)

f(-x) = 8x⁵- 4x³-5x

f(-x) = -( -8x⁵+ 4x³+5x)

f(-x) = -f(x) (condition for odd function)

Thus, the function f(x) = -8x⁵+ 4x³+5x is an odd function option (C) Function f is odd is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

Hiyo! the answer is 20 students :D! so first off we gotta find the exact number of sixth graders, next of when we find the number which is 90, we need to divide or multiply to get our answer. mkay I just noticed there is answer a. b. c .  but I know the exact answer is 20. Sorry if i'm missing something :D

Answer:

Need more information

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I got it right on the test

Answer:

y=1/3x+45

Step-by-step explanation:

Answer:

1,105 with a remainder of 2

Step-by-step explanation:

without a remainder it would be 1105.33333333

Answer:

if your looking for z it is 5/8k+2.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please, include the instructions.

I'm assuming you want to solve this system of linear equations for z and w, assuming that k is an unknown constant.

Use the method of elimination by addition and subtraction.  To eiiminate w, multiply all four terms of the first equation by 10, obtaining:

10 z + 10w - 30 = 10k

6z   - 10 w        = 80

Then 16z - 30 - 80 = 10k, or

16z  -110 = 10k,  Simplifying this, we get:

      10(k + 11)  

z = ---------------

            16

Substituting this expression for z into the first equation, we get:

(10/16)(k + 11) + w - 3 = k.  We must solve this for w:

-(10/16)(k + 11) + w - 3 = k), or

-(10/16)(k + 11) - w + 3 = -k

Then -(10/16)(k + 11) + 3 + k = w

and so the solution, in terms of the unknown constant k, is

      10(k + 11)  

(     --------------,  -(10/16)(k + 11) + 3 + k   )

            16

Answer:

Slope = 2

Step-by-step explanation:

To find slope, you use the formula [tex]\frac{y1-y2}{x1-x2}[/tex]

[tex]\frac{4-12}{2-6} = \frac{-8}{-4} = 2[/tex]

So the slope = 2

Can I get brainliest please? Thanks.

10 ft pls like if it helped

Answer:

I believe they will travel 306 miles in a day

Step-by-step explanation:

if you divide 2,754 by 9 it equals 306. I hope this helps.

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Divide 15316 by 4 to get a whole number if the number has a remainder the number cannot be divided by 4 evenly :)

Answer:

3

Step-by-step explanation:

4(t +3)=24

4t +12 =24

4t =24 - 12

4t =12

t =12 :4

t =3

Answer:

t = 3

Step-by-step explanation:

Original Equation:

4(t + 3) = 24

Use distributive property

4 x t = 4t

4 x 3 = 12

Your equation:

4t + 12 = 24

Subtract 12 from both sides

4t = 12

Divide both sides by 4

t = 3

Hope this helped :)

Please consider Brainliest :)

Answer:

the answer would be (-4,-6)

Step-by-step explanation:

hope this helps ya

good luck!!!!!

Answer:

11 is the mode

Step-by-step explanation: it appears the most

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

Answer:

The answer will be 8.38709677419

Answer:

No

Step-by-step explanation:

Answer:6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

y would equal -6.

4.8(2)+1.2(y)=2.4

9.6 + 1.2y = 2.4      subtract 9.6 from both sides

1.2y = - 7.2    divide by 1.2 on both sides

y = -6

Answer:

venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go

The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.

According to what I heard :3

Hope This Helped! May I have Brainliest? <3

Answer: it’s A

Step-by-step explanation:

it’s the only one that has a set pattern for the numbers

Answer:

124 degrees

Step-by-step explanation:

x=24 so if you plug in the value and solve it is 124 degrees