Carla is a waitress at Daybreak Diner, and she earns $5 for each hour she works. Last week, she
out earned $148 total, including $68 in tips. How many hours did Carla work last week?

Answer:

(2a - 5) • (3a - 2)

step by step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4

6a2 - 15a - 4a - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

3a • (2a-5)

Add up the last 2 terms, pulling out common factors :

2 • (2a-5)

Step-5 : Add up the four terms of step 4 :

(3a-2) • (2a-5)

Which is the desired factorization

Final result :

(2a - 5) • (3a - 2)

Answer:

thank you ☺️☺️

Answer:

infinite

Step-by-step explanation:

because this 1=1 is true, there are infinite solutions

Answer:

Since both sides are equal,there are infinitely many solutions.

Step-by-step explanation:

Given :

Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.

To Find :

Is the Lunar Victor's best option.

Solution :

Number of miles Lunar travel per gallon is :

[tex]N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon[/tex]

We know, miles travelled per gallon is given by 18 miles/gallon.

Therefore, The Legend is still the best option.

[tex]( {x}^{2} + 6x + 8)( {x}^{2} + 6x + 13) =0 \\ [/tex]

_________________________________

[tex] {x}^{2} + 6x + 8 = 0 [/tex]

[tex](x + 2)(x + 4) = 0[/tex]

##############################

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

##############################

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

_________________________________

[tex] {x}^{2} + 6x + 13 = 0 [/tex]

[tex]∆ = {b}^{2} - 4ac [/tex]

[tex]a = coefficient \: \: of \: \: {x}^{2} = 1 [/tex]

[tex]b = coefficient \: \: of \: \: x = 6[/tex]

[tex]c = the \: \: alone \: \: number \: = 13 \\ [/tex]

Thus ;

[tex]∆ = ({6})^{2} - 4 \times (2) \times (13) [/tex]

[tex]∆ = 36 - 104[/tex]

[tex]∆ = - 68[/tex]

=======================================

Point :

Remember from now on ,

In quadratic functions ;

if :

[tex]∆ > 0[/tex]

The function has two roots

if :

[tex]∆ = 0[/tex]

The function has just one root

if :

[tex]∆ < 0[/tex]

The function doesn't have any root.

=======================================

Thus , ( x² + 6x + 13 ) doesn't have any root.

So ; ( x = - 2 ) & ( x = - 4 ) are the only roots.

_________________________________

And we're done....♥️♥️♥️♥️♥️

Answer:

c)-2,-4,-3+2i,-3-2i

Step-by-step explanation:

edge2020

Answer:

y-intercept for this equation is -1.

Answer:

what are the options

Step-by-step explanation:

Answer: 1, 2, 5

Step-by-step explanation: I am doing the quiz, i know the answer choices

Answer:

option B is the answer

Step-by-step explanation:

If you need explanation plz ask in the comments

Answer: [tex]x= 187.5p[/tex]

Step-by-step explanation:

Given : An equation relating packets to bytes of information : [tex]b = 1,500p[/tex] where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

[tex]8x=1500p[/tex]

Divide both sides by 8 , we get

[tex]x= 187.5p[/tex]

Hence, the equation represent the relationship between the number of packets and the number of bits : [tex]x= 187.5p[/tex]

Answer:

x=12000p

Step-by-step explanation:

It is Right

I Fink

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

Answer:

x=23

Step-by-step explanation:

1/6 as a decimal is 0.16666667 but i rounded it to 0.2

so the equation is the 0.2(3x-9)-9=3

then i did 0.2 times 3x =0.6x

then 0.2 times -9= -1.8

so the equation now looks like this:

0.6x-1.8x-9=3

so i add 1.8 and 9 to 3 which gives you 13.8

then the equation looks like this:

0.6x=13.8

then you do 13.8 divided by 0.6 which equals 23.

hope this helps

tell me if i got it right or wrong

Answer:

p is True

q is False

p and q: False

p V q: True

~p and q: False

p and ~q: True

~p V ~q: True

The gradient of the line segment between the points (0,3) and (1,8) is : 5

Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.

Analysis:

x1 = 0, x2 = 1, y1 = 3, y2 = 8,

Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                        = [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5

In conclusion, the gradient of the given points (0,3) and (1,8) is : 5

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Answer:

Step-by-step explanation:

difference in x = 1

difference in y= 5

5 divided by 1 = 5

gradient= 5

The value of percent for 33 1/3% of 75 is 25.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

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Answer:

probably It decreased by 1/2 which is a half

Step-by-step explanation:

Answer:

7/4 and 3

Step-by-step explanation:

correct on edge 2020

Answer: 7/4 & 3

Step-by-step explanation:

Answer:

Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior

Step-by-step explanation:

When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:

1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

In the figure attached below, the alternate exterior angle pairs are labelled:

<3 and <6;

<4 and 5

2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.

In the figure attached below: the following are corresponding angles pairs:

<1 and <5;

<2 and 6;

<3 and <7;

<4 and <8

3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.

They are labelled:

<3 and <5;

<4 and <6

4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

They are labelled:

<1 and <8;

<2 and <7;

Answer:

1. symmetric property

2. associative property of multiplication

3. The set is closed under addition and not closed under subtraction

Step-by-step explanation:

Answer:

Number of students registered in Math trail only and in Amazing Race only is 86.

Number of students who did not registered in both events = 36

Step-by-step explanation:

There are 150 students totally.

64 students registered in Math trail.

78 registered in Amazing race.

28 registered in both Math trail and Amazing Race.

We can make Venn diagram for this and answer the question.

I've attached the Venn diagram.

Using the diagram,

Number of students registered in Math trial only and in Amazing race only is 36+50= 86.

Number of students who did not registered in both events = (150-(36+28+50))=36

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

Work Shown:

2wz = 2*(w)*(z)

2wz = 2*(a+2)*(z) .... replace w with a+2

2wz = 2*(a+2)*(a) ... replace z with a

2wz = 2a(a+2)

2wz = 2a(a) + 2a(2) .... distribute

2wz = 2a^2 + 4a

The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]

To understand more, check explanation below.

The equation is given as,

                  w = a +2    and z = a

We have to find  2wz.

            [tex]2wz=2*w*z\\\\2wz=2*(a+2)*a\\\\2wz=2(a^{2}+2a )\\\\2wz=2a^{2} +4a[/tex]

The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]

Learn more about the linear equation here:

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Answer:

B/D/E

Step-by-step explanation:

Answer:

The solution is: b=50

Step-by-step explanation:

7b+29=379

7b=350

b=50

If it's wrong I'm sorry I'm just going around answering questions for fun!

Hope this helped even the slightest! Gl!

Please mark brainliest!

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

Isolate Y

12=4x-6y       Subtract 4x on both sides.

6y=-4x+12     Divide 6 on both sides.

[tex]y=\frac{4}{6}x+2[/tex]     Simplify the linear equation(y=mx+b)

[tex]y=\frac{2}{3}x+2[/tex]     Find m

m=[tex]\frac{2}{3}[/tex]

Answer:

well we cant tell you the specifics to the graph you need help with because we cant see it but we can help you understand where to look

Step-by-step explanation:

So its proportional if the line lies on a straight path going through the (0,0)

and to find the constant of proportionality you divided by the first number on the Y-axis my the first number on the X-axis

Answer:

The slope is y=-x

Step-by-step explanation:

Rise over run. Pick 2 points, then count the distance that is rose(can be neg) then the distance that it went horizontally. Put into a fraction form.

Answer:

-3.6 repeated.

Step-by-step explanation:

( 1 / 3 ) - 4 = -3.6666666666666 (6 repeated)

The equivalent number is -3.6667

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.  A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Given:

(1/3)-4

Take LCM

1/3 - 4*3/1*3

=1/3 - 12-3

=-11/3

=-3.6666

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Answer:

okkk

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer: She can make 12 batches of brownies. There is a slight remainder, but think about it like this, if you only had a spoon full of sugar left, do you think you could make an entire batch of brownies? No. So if you see problems like this, the whole number should be the answer (unless asked otherwise).

Step-by-step explanation:  Since 3/4 is like 75 out of 100, the decimal form is .75 and we all know (or should know) that 1/2 can be put as .5. Whenever there's a whole number before the fraction, and you want to convert the fraction into a decimal, the whole number will go before the decimal. So after converting the fractions to decimals, the problem is 9.5 divided by .75 which is 12.6. Like I said before, that remainder .6 can't make an entire batch of brownies, so we just go with the whole number 12.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Speed is the change in distance if a body with respect to time. It is expressed mathematically according to the question as t = 1/500 × d

To determine the time it will take to travel 800miles, we will substitute d = 800 into the modeled equation.

t = 1/500 × 800

t = 800/500

t = 8/5

t = 1.6

The first one is the the correct answer because the angles have a sum of 180 degrees.

Hope that helps you!!