Susan drove 50 miles on her trip before Rick began his drive. Susan drives at a rate of 30 miles per hour and Rick drives at a rate of 45 miles per hour. Write an equation to represent the situation where Susan and Rick will have driven the same miles.

Answers

Answer 1

Answer:

50 + 30x = 45x

Step-by-step explanation:

We are told that Susan drove 50 miles before Rick started his journey.

We are told that Susan drives at 30 miles/hr

Which means total distance by Susan for x number of hours is;

50 + 30x miles

Total distance driven by Rick for x number of hours = 45x

For Rick and Susan to be at the same point, their distance covered must be the same.

Thus;

50 + 30x = 45x

45x - 30x = 50

15x = 50

x = 50/15

x = 3.333 hours

Thus, the equation where Rick and Susan would have driven the same number of miles is;

50 + 30x = 45x


Related Questions

​can someone help me solve this system. thanks
2y = 6
3(x + y) = 12

Answers

Answer

y=3   x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

subtract 9 from both sides to get...

3x=3

divide 3 from both sides to get...

x=1

Step-by-step explanation:

this is very easy

2y=6

y=2/6=3

so ,

3(x+y)=12

3x+3y=12

3x+3+3=12

3x+9=12

3x=12-9

3x=3

x=3/3

x=1

Find the value of x so that the function has the given value
f(3) = 3x + 2
f(3) = 8
x=

Answers

Answer:

f(3) =3(2)+2

Step-by-step explanation:

Therefore, x = 2

Find the x and y intercepts of the graph of the linear equation -x + 8y = 4

Answers

Answer: x-int: (-4, 0), y-int: (0, 1/2)

Step-by-step explanation:

x-int: when y = 0

-x + 8*0 = 4

-x = 4

x = -4

(-4, 0)

y-int: when x = 0

0 + 8y = 4

8y = 4

y = 1/2

(0, 1/2)

Evaluate the expression for x=5, y=-3 and z=7 *
7 – 3y – 3z

Answers

Answer:

-5

Step-by-step explanation:

i tried my best but this is the result

A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-shirts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans

Answers

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.

8x + 12y + 15z

Which is the simplified form of 7+5-12?
O
1
7912
O-/7-912
17
o
لے
N
$12
1
+
1
312

Answers

[tex] \green {\boxed{Answer}}[/tex]

[tex] {r}^{ - 7} + {s}^{ - 12} [/tex][tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Fill in the blanks by creating the line perpendicular to y=1/3x-3 that goes through (-1, -4) in slope intercept form.

Answers

Answer:

y = -3x - 7

Step-by-step explanation:

To find the slope of this perpendicular line, you'll have to keep in mind that a perpendicular line will have an opposite reciprocal of the slope of the line you are given. Here's what I mean:

Given Line: y = 1/3x - 3

Slope of Perpendicular Line: m = -3/1 = -3

Now, you'll have to find the y-intercept. But, to make sure your line passes through the given points, (-1, -4), you'll have to plug in the x and y values:

y = mx + b

-4 = (-3) (-1) + b

-4 = 3 + b

b = -7

Now just plug in your y-intercept and slope into the slope-intercept formula:

y = -3x - 7

HELp PLZLZPLZPLZPLPZLPZLZPLZPLZPZLPZLPZLZPLZPZLPZLZPLZPZLZPLPZLZPLZ

Answers

Answer:

pretty sure it's 8 if I'm not mistaken

Numbers like 10, 100, 1,000, and so on are

called?

Answers

Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.

4 The scale drawing represents the aerial view of a building. The actual building has
a perimeter of 48 m. Draw another scale drawing of the building using the scale
2 m to 1 unit length from the building to the drawing,

Answers

Answer:

Step-by-step explanation:

Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid Part A Which value is greater than Ryan's decimal and less than Sarah's decimal A.70/100+4/100 B. 60/100+5/100 C. 80/100 D. 80/100+15/100

Answers

Answer:

A

Step-by-step explanation:

Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s

Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7

Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8

So we want a decimal greater than Ryan’s but less than Sarah’s

Let’s take a look at the options

The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74

We can see that this is greater than 0.7 but less than 0.8

So, this is our answer

=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio

Find the distance from P(6,-9) to the origin.
Please helppp

Answers

Answer:

10 units

Step-by-step explanation:

Distance from P(6, -9) to O ( 0, 0 ) PO

Let

X1 = 6          X2 = 0

Y1 = -9         Y2 = 0

Formula of Distance

[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]

[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]

[tex]\sqrt{100}[/tex]

10 units

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!

Answers

Answer:

33.5

Step-by-step explanation:

40 % of 33.5 is 13.4

33.5/x  = 40/100

13.4

Answer:

33.5

Step-by-step explanation:

Helpppppp I don’t understand

Answers

Supplementary: Angles that add up to 180 degrees.
This means that angle 1 and angle 2 add up to 180 degrees. You can put them into an algebraic problem like I have in this (the image I have added), and solve for what x is. That is the key to finding out what angle 1 equals!
Once you have found x you can plug it into the equation you have for angles 1 and 2 to find if they equal 180.
Hope this helps!

Find the distance between the pair of points, round to the nearest tenth if necessary.

Answers

Step-by-step explanation:

distance between the two points is given by formula

d=

[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } = \sqrt{( - 2 - 4)^{2} + {( - 3 - 0)}^{2} } = \sqrt{( - 6)^{2} + ( - 3)^{2} } = \sqrt{36 + 9} = \sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5} [/tex]

HELP!! please explain how you got the answer too.

Determine whether cach point lies on the graph of the line y = 4.6x -7.

H(0, -7) ​

Answers

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

Answer:

H(0,-7) does lie on the graph of line y = 4.6x - 7

Step-by-step explanation:

All you have to do is simply plug in the x and y values.

From the point H (0,-7) we can say that

x = 0

y = -7

Now just plug it into the equation.

y = 4.6x - 7

(-7) = 4.6(0) - 7

-7 = -7

Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.

Examine the diagram. It is not drawn to scale.
In the diagram shown, mZ1 = 30° and m25 = 120°.
What is the sum of the measures of 24, 25, and 26?
4
1
2
5
on
degrees
Identify the following angle measures.
m22= v degrees
m24 =
v degrees
3
3
m26 =
v degrees
6

Answers

Answer:

Examine the diagram. It is not drawn to scale.

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.

In the diagram shown, m∠1 = 30° and m∠5 = 120°.

What is the sum of the measures of ∠4, ∠5, and ∠6?

✔ 360

degrees

Identify the following angle measures.

m∠2 =  

✔ 60

degrees

m∠4 =  

✔ 150

degrees

m∠6 =  

✔ 90

degrees

Step-by-step explanation:

Examine the diagram. It is not drawn to scale.

In the diagram shown, mZ1 = 30° and m25 = 120°.

What is the sum of the measures of 24, 25, and 26?

4

1

2

5

on

degrees

Identify the following angle measures.

m22= v degrees

m24 =

v degrees

3

3

m26 =

v degrees

6

I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

m∠1 + m∠4 = 180° (sum of angles in a straight line)

30 + m∠4 = 180°

m∠4 = 150°

m∠2 + m∠5 = 180° (sum of angles in a straight line)

120 + m∠2 = 180°

m∠2 = 60°

m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)

30 + 60 +  m∠3 = 180°

m∠3 = 90

m∠3 + m∠6 = 180° (sum of angles in a straight line)

90 + m∠6 = 180°

m∠6 = 90°

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

Find out more on angle at: https://brainly.com/question/25770607

find the distance for AB for A (3,5) and B(6,1)
Help!!

Answers

Answer:

5 is the answer to the question

5 is the answer I took my sister’s help

NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.

1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.​

Answers

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7

The point slope form of the equation of the line that passes through (-9,-2) and (1,3 ) is y- 3= 1/2(x-1). What is the slope intercept form of the equation for this line? (Plz help!! It’s 15 points!! )

Answers

Answer:

y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] (both are right)

Step-by-step explanation:

Distribute the 1/2

y-3=.5x-.5

add 3

y=.5x+2.5 OR [tex]y=\frac{1}{2}x +\frac{5}{2}[/tex] if you're into fractions

Solve for x.
–2(x - 1) - x + 3 = -1
Anyone wanna help?

Answers

x=2
explanation:
simplify to get -3x+5=-1
calculate to get -3x= -1-5
-3x=-6
x=2

Answer:

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

First if all, we operate the parenthesis knowing that [tex]a(b+c) = ab + ac[/tex]:

-2(x-1) - x + 3 = -1 ---->.-2x -2*(-1) - x + 3 = -1

Now, we operate:

.-2x -2*(-1) - x + 3 = -1 ----> -2x + 2 - x + 3 = -1

Now we operate another time to put all the x together and the independent terms too:

-2x + 2 - x + 3 = -1 ----> -3x + 5 = -1

We substract 5 at both sides to have only the x at one side:

-3x + 5 = -1 ----> -3x + 5 - 5 = -1 - 5 ----> -3x = -6

As both sides have a minus (-) we can eliminate it:

-3x = -6 ----> 3x = 6

We divide both sides by 3 to have only a x:

3x = 6 ----> 3x/3 = 6/3 ----> x = 2

Now, we know that x=2. We can also verify it by replacing it on the first equation:

-2(x-1) - x + 3 = -1 ---> -2(2-1) - 3 + 3 = -1 ---> -2(1) - 2 + 3 = -1 ---> -2 - 2 + 3 = -1

Now we know it's true, as we have replaced it and we got he answer.

How many 9-inch ribbons can be cut from 112yards of ribbon? show work

Answers

Answer:

448 ribbons

Step-by-step explanation:

in order to find this, you need to convert the yards into inches. there are 36 inches is a yard (a yard is 3 feet and one foot is 12 inches ) so you would multiply 112 and 36 to find the total number of inches it woulde be. 112x36=4,032. Now that you know the total number of inches, divide it by 9 to find the total number of ribbions you can make.

4,032/9= 448

so you could make a total of 448 ribbons

Answer:

12.4

Step-by-step explanation:

Do 112 divided by 9

Which expressions are equivalent to 9+h+ (j+k)? Check all that apply.
9+(n+}) +
(9+1) +jk
(9+h) +j+k
9+(hj)+k
gh+jk
g(h+)
9+h[j+k)

Answers

Answer:According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct

Answer:

1,3

Step-by-step explanation:

There are two classrooms available for the upcoming debate tournament. Room A has a capacity of 28 and room B has a capacity of 35. If
there are 253 students participating in the tournament write an inequality to represent how many possible sessions there would have to
be, given that both rooms could be used at once? Let a represent room A and b represent room B.

Answers

Answer:

first one

Step-by-step explanation:

1.(02.01)
Solve -4(x + 1) – 3 = -3(x – 4). (1 point)
O
-19
19
2.

Answers

Answer:

x = -19

Step-by-step explanation:

hope this help :)

Answer:

[tex]\boxed {x = -19}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]

-Use Distributive Property to both sides of the equation:

[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]

[tex]-4x - 4 - 3 = -3x + 12[/tex]

-Combine like terms:

[tex]-4x - 4 - 3 = -3x + 12[/tex]

[tex]-4x - 7 = -3x + 12[/tex]

-Take [tex]-3x[/tex] and add it to [tex]-4x[/tex]:

[tex]-4x - 7 + 3x = -3x + 3x + 12[/tex]

[tex]-x - 7 = 12[/tex]

-Add both sides by [tex]7[/tex]:

[tex]-x - 7 + 7 = 12 + 7[/tex]

[tex]-x = 19[/tex]

-To make the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{19}{-1}[/tex]

[tex]\boxed {x = -19}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].

Evaluate the function for x = 3 * f(x) = x2 – 2x + 6 O x=9 O x = 6 O x=21 O x = 4​

Answers

Answer:

When you input values for x, you can determine a single output for y. ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. ... perimeter, P = 4s, as the function p(x) = 4x, and the formula for area, A = x2, as a(x) = x2. ... in both cases, you substitute 2 for x, multiply it by 4 and add 1, simplifying to get 9

Step-by-step explanation:

got it off of google

Costumers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick. Write an equation to model the total cost, y, fo x pounds of blueberries.

Answers

Answer:

c. y = 4x + 5

Step-by-step explanation:

you are paying a one time fee of $5 to get in and $4per x number of pounds.

Answer:

B

Step-by-step explanation:

Firstly you pay 4 dollars to enter BH

If x is the number of pounds of blueberries, then the amount spent is going to be 5x as each pound is 5 dollars. Then you add the costs together, so it would be 5x+4 which is B

Please help! I’ll give brainliest to anybody who answers correctly!

Answers

I think you add 3 to the second number

HELP pleaseee i’m beggingggg

Answers

Answer:

35 1/3°54 2/3°

Step-by-step explanation:

Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;

(x + 8) + 2x = 90

~Remove parenthesis

x + 8 + 2x = 90

~Combine like terms

3x + 8 = 90

~Subtract 8 to both sides

3x = 82

~Divide 3 to both sides

x = 82/3 or x = 27 1/3

Use what have for x to solve for the angle measures.

Angle AOB:

x + 8

(27 1/3) + 8

35 1/3°

Angle BOC:

2x

2(27 1/3)

54 2/3°

Check.

35 1/3 + 54 2/3 = 90°

Best of Luck!

helppp (picture below)

Answers

Answer:

Rate me 1 star if wrong but its answer A

Step-by-step explanation:

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