Solve (y/4) +3 = 7
a) y = 40
b) y = 1
c)y = 25
d) y = 16

Answer:

51 liters of fuel is needed more to fill the tank

Step-by-step explanation:

When the gauge is full, the volume of fuel in the tank is 68 liters.

Now it is 1/4 full.

The amount of fuel it has when it is 1/4 full would be 1/4 * 68 = 17 liters

Now, we need to know how many more liters of fuel until the tank is full.

What we just need to do here is to subtract the volume when it is quarter full from the volume when it is full.

That would be 68 liters - 17 liters = 51 liters

Answer:

1 + root 5, 1 - root 5

Step-by-step explanation:

I assume you mean 3x^2-6x-12=0.

First, note that you can divide both sides by 3. You get:

x^2-2x-4=0

Use the quadratic equation.

[tex]x=\frac{2\pm\sqrt{4+16}}{2}=\frac{2\pm2\sqrt{5}}{2}=1\pm\sqrt{5}[/tex]

Therefore, x=1 + root 5, 1 - root 5

Answer:

(2, 9)

Step-by-step explanation:

y=2x+5

x=2 ⇒ y=2*2+5=4+5=9

so the point is (2, 9)

Answer:

y = 9

Step-by-step explanation:

y = 2x+5

It is given (2,__), (x,y).

We must find the y coordinate.

Put x as 2.

y = 2(2) + 5

Multiply both the terms.

y = 4 + 5

Add the terms.

y = 9

Answer:

1.053

Step-by-step explanation:

1.053(100)=105.3

Answer:

7/12

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

12-5=7

7/12

Answer:

B.

Step-by-step explanation:

Angles that form a straight line sum to 180 and are supplementary.  Angles TKL and TLK are supplements of the congruent angles marked, TLR and SKT.

The answer is Option C <3

The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.

The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.

On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.

Read more on domain and range;

https://brainly.com/question/26098895

i don’t know if i’m too late but here i just finished. also mark me brainliest if you like it :)

Answer:

x = -5 or x = -4/3

Step-by-step explanation:

First possibility.

|2x − 1| = |4x + 9|

2x - 1 = 4x + 9

2x - 4x = 9 + 1

-2x = 10

x = 10/-2

x = -5

Second possibility.

2x - 1 = - (4x+9)

2x - 1 = -4x - 9

2x + 4x = -9 + 1

6x = -8

x = -8/6

x = -4/3

Answer:

[tex] |2x - 1| = |4x + 9| [/tex]

this equation can be separated into 2 possible cases :

[tex]2x - 1 = 4x + 9[/tex]

and

[tex]2x - 1 = - (4x + 9)[/tex]

solve the 1st possible case:

[tex]2x - 1 = 4x + 9[/tex]

[tex]2x - 4x = 9 + 1[/tex]

[tex] - 2x = 10[/tex]

[tex]x = - \frac{10}{2} [/tex]

[tex]x = - 5[/tex]

solve the 2nd possible case:

[tex]2x - 1 = - (4x + 9)[/tex]

[tex]2x - 1 = - 4x - 9[/tex]

[tex]2x + 4x = - 9 + 1[/tex]

[tex]6x = - 8[/tex]

[tex]x = \frac{ - 8}{6} [/tex]

[tex]x = - \frac{4}{3} [/tex]

so the x value for this equation is:

x = -5 or x = -1.333

Answer:

D. Between the ladder and the ground

Step-by-step explanation:

The 75° is made by the ladder leaning on the tree. So the angle would be from the ground up to the ladder.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"Mr. Anderson cuts a piece of metal in the shape of the triangle shown. The piece of metal has an area of 7 1/2 square feet. What is the base of the piece of metal? triangle 5ft high"

Area of the triangle = 1/2 * base * height

Given the area of the piece metal = 7 1/2 ft² and its height = 5ft (since the triangle is 5ft high). On substituting the values in the formula;

7 1/2 = 1/2* base * 5

15/2 = 5/2 * base

15 = 5 * base

base = 15/5

base = 3ft

The base of the piece of metal is 3ft

Answer:

D

Step-by-step explanation:

To be perpendicular to each other, the product of the slopes of the two lines must be -1. The slope of the given line is 3 so we need to find a line with slope of -1 / 3. This is option D.

Answer:

A

Step-by-step explanation:

The base angles L and N are congruent.

Thus the triangle is isosceles and ML = MN, that is

3x = x + 8 ( subtract x from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

MN = x + 8 = 4 + 8 = 12 → A

Answer:

x = -2/3

Step-by-step explanation:

Step 1: Convert signs

f(x) = -(-3x) + 4

f(x) = 3x + 4

Step 2: Set f(x) and g(x) equal to each other and solve for x

3x + 4 = 2

3x = -2

x = -2/3

And we have our final answer!

Answer:

-22

Step-by-step explanation:

Step 1: Change 1 1/5 to improper fraction

11/5

Step 2: KCF (Keep Change Flip)

11/5(-10/1)

-110/5

Step 3: Simplify

-22

And we have our answer!

Corrected Question

Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.

The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.

Answer:

(C)3c + 3

(F)2c + c + 3

Step-by-step explanation:

Therefore:

Total Points Scored in the game =c+2c+3 (This is option F)

Simplifying, we have:

c+2c+3=3c+3 (This is option C)

Therefore, C and F are the correct options.

Answer:

3^x+6x+2

Step-by-step explanation:

if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)=3^x+6x+2

Area = length x width

Area = 3x + 5 Cm x 8 cm

Multiply each term by each term.

Area = 24x + 40 square cm

Answer:

[tex](24x+40) \: cm^2[/tex]

Step-by-step explanation:

Area of rectangle is [tex]lw[/tex]

[tex]8 \times (3x+5)[/tex]

The length is (3x+5) cm.

The width is 8 cm.

[tex]8(3x+5)[/tex]

Expand the brackets.

[tex]8(3x)+8(5)[/tex]

[tex]24x+40[/tex]

Answer: D √234

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 15^2 = c^2

9 + 225 = c^2

c = √234

Answer:

The shorthand that represent the contrapositive statement is  ~F → ~A

Step-by-step explanation:

The parameters given are;

If it is not a fruit, then it is not an apple

The above is a logic statement which can be rewritten as a conditional statement as follows;

If something is an apple then it is a fruit

Which gives

If p then q

Where:

A = Apple

F = Fruit

Therefore, when we write;

If something is not a fruit, then it is not an apple

We have

~F → ~A

Which is a contrapositive conditional statement

The shorthand that represent the contrapositive statement is therefore, ~F → ~A.

Answer:

x = 5±√31

Step-by-step explanation:

Step 1: Complete the Square

x² - 10x + 25 = 6 + 25

(x - 5)² = 31

Step 2: Solve for x

√(x - 5)² = √31

x - 5 = ±√31

x = 5±√31

And we have our answers!

Answer:

its A on edge

Step-by-step explanation:

Answer:

12)x=26.125°

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

13)x=52°

∠L=52°

∠J =45°

∠K =69°

14)x=11°

∠C = 36°

∠D =36°

∠B = 108°

15)x=7

WX = 52

WY=52

XY =29

Step-by-step explanation:

12)In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

[tex]x=\frac{180+29}{8}[/tex]

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

∠Q =x-5=26.125-5=21.125°

∠R=2x-9=2(26.125)-9=43.25°

13)  In ∆JKL

Let the angle L be x

∠L=x

∠J is seven less than ∠L=x-7

∠K is 21 less than twice ∠L=2x-21

Angle sum property of triangle : The sum of all angles of triangle is 180°

So, x+x-7+2x-21=180°

4x-28=180°

4x=180+28

[tex]x=\frac{180+28}{4}[/tex]

x=52

∠L=x=52°

∠J =x-7=52-7=45°

∠K =2x-21=2(45)-21=69°

14)In ∆BCD

BC ≅ BD(Given)

Opposite angles of equal sides are equal

So, ∠C =∠D

∠C = 5x – 19

∠D = 2x + 14

So, 5x-19=2x+14

3x=33

x=11

∠C = 5x – 19=5(11)-19=36°

∠D = 2x + 14=2(11)+14=36°

∠B = 13x – 35=13(11)-35=108°

15) In ∆WXY

∠X ≅ ∠Y(Given)

Opposite sides of equal angles are equal

WY=WX

WX = 9x – 11

WY = 7x – 3

So, 9x-11=7x-3

2x=14

x=7

So, WX = 9x – 11=9(7)-11=52

WY=52

XY = 4x + 1=4(7)+1=29

Answer:

Step-by-step explanation:

first lets find the total # of portions:

3+4+13=16+4=20

To make 4kg of this alloy you have to use:

nickel: (4/20)*3=12/20=6/10=0.6 kg

zinc: (4/20)*4=16/20=8/10=0.8 kg

copper: (4/20)*13=52/20=26/10=2.6 kg

Answer:

They must sell 40 shirts to break even

Step-by-step explanation:

The break-even point is that point where the cost and revenue graphs intersect.

Up front,

expenditures are $280 + ($3.99)t, and this is to be set equal to revenue:  ($10.99)t:

[tex](\$ 10.99)t = \$ 280 + (\$ 3.99)t.[/tex]

Begin solving this by subtracting ($3.99)t from both sides of this equation.  The result is

[tex](\$ 10.99-\$ 3.99t)t = \$ 280 + (\$ 3.99t - \$ 3.99t)[/tex]

[tex]\$ 7t=\$ 280t[/tex]

($7/shirt)t = $280.

Dividing both sides by ($7/shirt), we get

 [tex]t=\frac{\$ 280}{\$ 7}[/tex]

t = $40

Revenue will equal costs (expenses) when these students have sold 40 shirts.

Therefore,they must sell 40 shirts to break even

Answer:

3/4

Step-by-step explanation:

5/8 is the same is 15/24

and 3/4 is the same as 18/24

and thus 3/4 is bigger than 5/8

Answer:

3/4

Step-by-step explanation:

5nj54jj54 i know its 3/4

Answer:

Multiply be 3 each time

Step-by-step explanation:

4*3=12

12*3=36

36*3=108

108*3=324

Answer:

19c

Step-by-step explanation:

simply add 10 and 9 together and then add the c at the end :)

Answer:

[tex]6(x - 3) = 3x + 9 \\ \\ 6x - 18 = 3x + 9 \\ \\ 6x - 3x = 18 + 9 \\ \\ 3x = 27 \\ \\ x = \frac{27}{3} \\ \\ x = 9[/tex]

Answer:

Interest = $60.75

Amount = $510.75

Step-by-step explanation:

The formula for finding interest is;

Interest = Principal * Rate * Time

And here;

Principal = $450

Rate = 41/2% or 4.5%

Time = 3 years

Interest = [tex]\frac{450 * 45 * 3}{1000}[/tex]

Divided by 100 because of the percentage of the rate but here I made it 1000 because I moved the decimal point in the 4.5 forward once which means I have to add 0 to the denominator.

              = [tex]\frac{45*45*3}{100}[/tex]

             = [tex]\frac{6075}{100}[/tex]

            = $60.75

Now the amount is simply the Principal + Interest which will be;

= $450 + $60.75

= $510.75

Answer:

Multiply by -5

Step-by-step explanation:

-2*-5=10

10*-5=-50

-50*-5=250