In the equation y = 2x – 7, what does the -7 tell you to do?

Answer: The mixed number 5  7/9

We can write the mixed number as 5 & 7/9 to better separate the whole part (5) from the fractional part (7/9)

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Explanation:

Use this formula

[tex]a \frac{b}{c} = \frac{a*c + b}{c}[/tex]

to convert from a mixed number to an improper fraction.

Here are the steps in converting 5 & 1/3

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\5 \frac{1}{3} = \frac{5*3+1}{3}\\\\5 \frac{1}{3} = \frac{16}{3}\\\\[/tex]

Through similar steps you should also have

[tex]4 \frac{5}{9} = \frac{41}{9}\\\\6 \frac{5}{9} = \frac{59}{9}\\\\[/tex]

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Let's add the amounts needed for the family room and the living room.

[tex]\frac{41}{9}+\frac{59}{9}\\\\\frac{41+59}{9}\\\\\frac{100}{9}\\\\[/tex]

Subtract off the amount the painter already has

[tex]\frac{100}{9} - \frac{16}{3}\\\\\frac{100}{9} - \frac{3*16}{3*3}\\\\\frac{100}{9} - \frac{48}{9}\\\\\frac{100-48}{9}\\\\\frac{52}{9}\\\\[/tex]

This improper fraction is the number of gallons of paint that's missing, i.e. the amount the painter needs to buy.

Converting it to a mixed number gets us:

[tex]\frac{52}{9}=\frac{45+7}{9}\\\\\frac{52}{9}=\frac{45}{9}+\frac{7}{9}\\\\\frac{52}{9}=5+\frac{7}{9}\\\\\frac{52}{9}=5\frac{7}{9}\\\\[/tex]

Note that 52/9 leads to a quotient of 5 and a remainder of 7. The 5 and 7 match with 5 & 7/9

The painter needs to buy 5 full gallons, plus another 7/9 of a gallon. Or we can state it as him needing 5 & 7/9 gallons of paint.

Answer:

Point Q is at -4

Step-by-step explanation:

Answer:

Equivalent expressions are expressions that have the same value. Writing equivalent expressions can make them easier to work with and solve.

Sometimes when you are writing equivalent expressions, you will need to use the distributive property. Multiply a number outside of parentheses by each number inside the parentheses.

Look at the steps for 3(2+4t).

3(2+4t)  Multiply 3 by each addend.

3(2)+3(4t) To multiply 3 and 4t, multiply 3 and 4. The variable stays the same. So, 3(4t)=12t.

6+12t

So, 3(2+4t) and 6+12t are equivalent expressions.

Step-by-step explanation:

Answer:

a.)In ∆BAC AND ∆DAC

ANGLE DAC = ANGLE BAC(GIVEN)

ANGLE DCA = ANGLE BCA (Given)

AD IS A COMMON SIDE

SO, ∆BAC congruence ∆DAC (A.S.A)

b.)Yes AB=AD (C.P.C.T.)

c.)Yes CD=CB(C.P.C.T.)

Hope that helps

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the answers are:

Answer:

A. Probability of Russell = 12/37 or 32.4% (Rounding to the next tenth)

B. Probability of Peter = 5/74 or 6.8% (Rounding to the next tenth)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

              Guard Forward Center Totals

Over 6 feet 25     30        30        85

Under 6 feet 130 120      35        285

Totals           155 150      65        370

2. Russell is 5'9". What is the probability he is a forward?

Probability = Number of forwards under 6 feet/Total number of players

Probability = 120/370

Probability = 12/37 or 32.4% (Rounding to the next tenth)

3. Peter is 6'2". What is the probability he is a guard?

Probability = Number of guards over 6 feet/Total number of players

Probability = 25/370

Probability = 5/74 or 6.8% (Rounding to the next tenth)

Hope this helps you!!!!! :D

Answer:

X=10

Step-by-step explanation:

explanation is in the image above

hope this helps please mark me brainiest

The distance the dog runs is given by the time it takes the man and the

girl to meet multiplied by the speed of the dog.

Correct response:

Given parameters;

Initial distance of the friend away = 1 mile

Speed of the man = 3 mph

Speed of the girl = 3 mph

Speed of the dug = 9 mph

Required:

The total distance the dog runs

Solution:

[tex]Time = \mathbf{\dfrac{Distance}{Speed}}[/tex]

The time it takes the man and the girl to meet, t, is given as follows;

[tex]t = \dfrac{1 \ mile}{3 \ mph + 3 \ mph} = \mathbf{\dfrac{1}{6} \, hours}[/tex]

Therefore;

Learn more about velocity and speed here:

https://brainly.com/question/4130932

Answer:

-1

Explanation:

-1 is greater than -2

Pretty much it's just adding one to -2.

Answer:

68

Step-by-step explanation:

[tex]a_n=a_1+(n-1)d\\\\a_{25}=-4+(25-1)(3)\\\\a_{25}=-4+(24)(3)\\\\a_{25}=-4+72\\\\a_{25}=68[/tex]

Therefore, the 25th term of the arithmetic sequence is 68

Answer:

5/25

Step-by-step explanation:

khan academy

Answer:

5/25

Step-by-step explanation:

Let aₙ be the n-th term of the A.P.

Then for some fixed number d,

[tex]a_{844} = a_{843} + d[/tex]

[tex]a_{844} = (a_{842} + d) + d = a_{842} + 2d[/tex]

[tex]a_{844} = (a_{841} + d) + 2d = a_{841} + 3d[/tex]

and so on.

Notice how on the right side, the subscript of a and the coefficient of d always add up to 844. Follow this pattern all the way down to a₁₉ to get

[tex]a_{844} = a_{19} + 825d[/tex]

We're told that a₁₉ = 844 and a₈₄₄ = 19. Solve for d :

19 = 844 + 825d

825d = -825

d = -1

We can also write aₙ in terms of an arbitrary k-th term, aₖ, using the pattern from before:

[tex]a_n = a_k + (n - k) d[/tex]

Suppose aₖ = 0 for some value of k. Pick any known value of aₙ, replace d = -1, and solve for k :

a₈₄₄ = 0 + (844 - k) • (-1)

19 = k - 844

k = 863

So, a₈₆₃ = 0.

Answer:

3,125

Step-by-step explanation:

1. This sequence is similar to the Fibonacci sequence, where you add the two terms to get the next term and so on. (e.g. 1, 1, 2, 3, 5, 8, 13)

2. However, this differs from the Fibonacci sequence because instead of adding, we're multiplying. 1 x 5 = 5, 5 x 5 = 25, 5 x 25 = 125. Given this sequence, we have to multiply 25 by 125 next, and the product of that expression is 3,125!

Answer:

50°

Step-by-step explanation:

We assume that lines c and d are parallel.

m<1 = 130

m<2 = 50 since angles 1 and 2 are supplementary.

m<6 = m<2 since angles 2 and 6 are corresponding angles of parallel lines.

m<6 = 50°

Answer: 50°

The nearest integer to 77.386 is 77

Hope this answer helps you

Answer:

THE NEAREST INTEGER TO 77.386 IS 77

Step-by-step explanation:

HOPE THIS HELPS

Answer:

it is plasma i think

Step-by-step explanation: i hope this answer your question if this is wrong or correct please let me know.

Answer:

What is plasma explain?

Plasma is the largest part of your blood. ... When separated from the rest of the blood, plasma is a light yellow liquid. Plasma carries water, salts and enzymes. The main role of plasma is to take nutrients, hormones, and proteins to the parts of the body that need it. Cells also put their waste products into the plasma.

Step-by-step explanation:

-Hope this helps!

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Answer:

y=x+1

Step-by-step explanation:

The equation of a line is written in the form y=mx+c

c= y intercept which is 1

m= gradient which is also 1

so the equation is y=x+1

Answer:

Just substitute, and the simplified form is 1

Step-by-step explanation:

Substitute the values needed into the original equation. For example, if n=1

t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.

tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.

Answer:

7

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, let's convert the mixed fractions into improper fractions. Next, I am going to make the denominators same. Then I am going to add the fractions to obtain my answer.

Hence, the solution is 88/12 or 7 4/12.

Answer:

24x + 41

Step-by-step explanation:

Distribute the 6.

6(4x + 5) + 11 = 24x + 30 + 11

Now we just add the 30 and the 11 which are at the back of the expression.

24x + 30 + 11 = 24x + 41

Therefore the answer is 24x + 41. Please mark brainliest if possible and i hope you get a good grade on your homework

The number 3.44 is 40% per cent of the number 8.6.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number 3.44 is some percentage of the number 8.6. The percentage of the number will be calculated as:-

x% of 8.66 = 3.44

( x / 100 ) x 8.66 = 3.44

x = ( 3.44 x 100 ) / 8.66

x = 40%

Therefore, the number 3.44 is 40% per cent of the number 8.6.

To know more about percentages follow

https://brainly.com/question/24304697

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Answer:

Step-by-step explanation:

Answer:

2x+1^2(2x-1)

Step-by-step explanation:

Brainliest if this helps

Answer:

40%

Step-by-step explanation:

So, there are 60 students for B. So, what I did was add all the students to get 150. Then I divided 60 by 150 (60/150) to get 0.4. 0.4 * 100 is 40 which is the percent. Hope this helps.

well, looking at the picture of this vertically opening parabola, it has a vertex at 0,0 and it passes through 2,1 hmm ok

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ y = a(x-0)^2+0\qquad \stackrel{\textit{we also know that}}{x=2\qquad y = 1}\qquad \implies 1=a(2-0)^2+0 \\\\\\ 1=4a\implies \cfrac{1}{4}=a~\hspace{10em} \boxed{y=\cfrac{1}{4}x^2}[/tex]

Answer:

Enter the equations.

Multiply each equation by a number to get the lowest common multiple for one of the variables.

Add or subtract the two equations to eliminate that variable .

Substitute that variable into one of the equations and solve for the other variable.