Maria bought seven boxes. A week later half of her boxes were destroyed in a fire. There are only 22 boxes left. With how many did she start?

Answers

Answer 1
Answer: The equation is (x+7)/2=22

X is what we need to find out. (I’m not sure if you are in algebra yet so I’m sorry if you’re not)

First we should give both sides the same denominator (22=22/1)

(X+7)/2=22/1 now we can change 22/1 to 44/2
(X+7)/2=44/2

Now since we are trying to find x, we can remove the denominator to solve for x and make it easier.

x+7=44 subtract 7 from both sides
x=37

***so your answer is 37***

Brainliest my answer if it helps you out

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Are the graphs of x-4y=2 and 4x+y=8 perpendicular?

Answers

Answer:

Step-by-step explanation:

x-4y=2

4y=x-2

y=1/4 x-1/2

slope=1/4

4x+y=8

y=-4x+8

its slope=-4

product of slopes=1/4×(-4)=-1

so lines are perpendicular.

The first hiker has gone 125 ft and hikes at a rate of 1.2 ft per second. The second hiker has gone 10ft and hikes 2.6 ft per second. after about how many seconds will the hikers have gone the same distance82 seconds
90 seconds
73 seconds
67 seconds

Answers

Answer:

82 seconds

Step-by-step explanation:

(1.2*82)+125=223.4

(2.6*82)+10=223.2

These are the closest. If you are estimating this is the right answer

Find the students error in solving the following inequality 2<-3x-4<56<-3x<5
-2>x>-5/3

Answers

Answer:

The student did not add 4 to all sides of the inequality

Step-by-step explanation:

2<-3x - 4<5

Add 4 to all sides

4 + 2< -3x - 4 + 4 < 5 + 4

6< -3x < 9

Divide all sides by the coefficient of x; -3

-2< x < -3

Remember, when dividing an inequality with a negative number, you must flip the sign

So, this becomes;

-2 > x > -3

Do 0.3 and 3.0 have the same value ? explain

Answers

No, silly.
3.0 is ten times the size of 0.3 .

Take your calculator, and divide one of them by the other one.
If they have the same value, then the answer will be ' 1 '.

Take your calculator and subtract one from the other.
If they have the same value, then the answer will be zero.
No because .3 is 30 cent and 3.0 is 3 dollars.

Find the tenth term in each sequence. -1,2/3,7/3,4,17/3

Answers

It'a an arithmetic sequence:

a_1=-1\n\na_2=-1+(5)/(3)=-(3)/(3)+(5)/(3)=(2)/(3)\n\na_3=(2)/(3)+(5)/(3)=(7)/(3)\n\na_4=(7)/(3)+(5)/(3)=(12)/(3)=4\n\na_5=4+(5)/(3)=(12)/(3)+(5)/(3)=(17)/(3)\n\vdots\n\n\text{The general formula for nth term of an arithmetic sequence}\n\na_n=a_1+(n-1)d\n\n\text{We have}\ a_1=-1\ \text{and}\ d=(5)/(3).\n\n\text{Substitute}\n\na_n=-1+(n-1)\left((5)/(3)\right)=-1+(5)/(3)n-(5)/(3)=(5)/(3)n-(3)/(3)-(5)/(3)

\boxed{a_n=(5)/(3)n-(8)/(3)}

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5. Pls help ASAP btw, the answer isn’t -12/19 or 12/19

Answers

Answer:

B - A = -6

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

x + 3y = -5

Subtract x from both sides

x - x + 3y = -5 - x

3y = -5 - x

Divide both sides by 3

(3y)/(3) = -(5)/(3) - (x)/(3)

y = -(5)/(3) - (x)/(3)

The slope of the line is the coefficient of x

Slope = - (1)/(3)

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of - (1)/(3)

Having calculated the slope, next is to calculate the equation of the line using the following formula;

m = (y - y_1)/(x - x_1)

Where m is the slope; m = - (1)/(3); (x_1, y_1) = (-7,2)

Substitute these values in the formula above; the formula becomes

-(1)/(3) = (y - 2)/(x - -7)

-(1)/(3) = (y - 2)/(x +7)

Cross Multiply

-1(x+7) = 3(y-2)

Open brackets

-x - 7 = 3y - 6

Add x to both sides

x - x - 7 = 3y - 6 + x

-7 = 3y - 6 +x

Add 6 to both sides

-7 + 6 = 3y -6 + 6 + x

-1 = 3y + x

Multipby both sides by -3

-3(-1) = -3(3y + x)

3 = -9y - 3x

-9y - 3x = 3

-3x - 9y = 3

Comparing the above to Ax + By = 3

Ax = -3x\nA = -3

By = -9y\nB = -9

B - A = -9 - (-3)

B - A = -9 + 3

B - A = -6