A new electric car uses 7.3% of its battery to drive 6.4 miles, at that rate how many miles can you drive using 100% of the battery charge?

1. If the square of a number is added to 8 times the number, the result is 100.

Let x be the number.

Equation: x² + 8x - 100 = 0

2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.

Area: 30ft²

Length: 7w

Width: w

Area of a rectangle: LW

(7w)w = 30ft²

Equation: 7w² - 30 = 0

Answer:

sequence of numbers such that the difference between the consecutive terms is constant.

the constant is 2 (Ex. 18-2=16-2=14....) and your answer is

yes

[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]

[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]

[tex] \bf \underline{To \: find-} \\ [/tex]

[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]

[tex] \bf \underline{Solution-} \\ [/tex]

[tex]\textsf{Given equation,}\\[/tex]

[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]

[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]

[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]

[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]

[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]

[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]

Answer:

2 and 2

8 and 4

Step-by-step explanation:

Plug the respective x values in to find the y-values or use a GDC.

Answer:

-2,-2

Step-by-step explanation:

if you plug the numbers in you get:

(2*-2)+-2≤−4

so that's -4+-2≤−4

which equals -6≤−4

and as always, the bigger the negative number, the less value it has

Answer:

0.3 pounds

Step-by-step explanation:

[tex]0.5 - 0.2 = 0.3[/tex]

Answer:

We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.

Step-by-step explanation:

HOPE IT HELPS :)

Answer:

m = 3/2

Step-by-step explanation:

3y = -2x + 6

y = -2/3x + 2

Perpendicular slope = inverse = 3/2

Answer: x=2 y=4

Step-by-step explanation: elimination method attached below.

Answer:

the answer is 14

Step-by-step explanation

the math problem is just 2+19-7 or 21-7

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

Refer to the attachment

Answer:

Step-by-step explanation:

Required function is:

The matching option is C

Answer:

The y-intercept is 0

Step-by-step explanation:

The line crosses the y-axis at the center, 0. Therefore the y-intercept is 0.

Answer: -1

Step-by-step explanation:

The answer would be B and D because the slope stays consistent throughout the entire table unlike all of the other options.

Answer:

-5 is the slope

Step-by-step explanation:

Here is the formula

y2-y1

____

x2-x1

Answer:

I guess 5⁴ is Missing value

Answer:

B

Step-by-step explanation:

Answer:

216 cubic inches

Step-by-step explanation:

To find the volume of just the cube:

12 x 12 x 12 = 1728

then to find the volume of the section:

1728/8 = 216

Answer:

16 I think

Step-by-step explanation:

Answer:

A- x-intercept

B- y-intercept

C- x-coordinate

D- y-coordinate

E- solution

Step-by-step explanation:

Answer:

There is no question to answer.

Step-by-step explanation:

Answer:

Where is the question ?

Answer:

25

Step-by-step explanation:

Answer:

21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps

Step-by-step explanation:

I think iv seen this question somewhere so did u forget to put 22?

Here is the explaination if u did...

5T -22 = 83

revenue minus expense = profit

5T = 83+22 = 105

T = 105/5 = 21 T shirts sold

Answer:

b = -ax + 4x + 2

Step-by-step explanation:

8x - 3x + 2 - x = ax + b

~Combine like terms

4x + 2 = ax + b

~Subtract ax to both sides

4x - ax + 2 = b

~Rewrite

b = -ax + 4x + 2

Best of Luck!

Answer:

C

Step-by-step explanation:

first of all since the line is solid then we know that the answer is not D or B.

so it has to be either A or C.

now to graph it let's start with A.

you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.

now let's try with C.

you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.

Answer:

Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.

Step-by-step explanation:

Answer:

[tex]3b + 3 < - 18 \\ 3b + 3 - 3 < - 18 - 3 \\ 3b < - 21 \\ 3b \div 3 < - 21 \div 3 \\ b < - 7[/tex]

I hope I helped you^_^

Answer:

1846= 0% change

1847= 3.2/5 ×100 = 64% decrease in river

1848= 6.8/3.2 ×100 = 212.5% increase

( used 3.2 because that was the last record)