Joseph and his family were going to the beach. Joseph's sister was running late so Joseph left their house with his mom. Joseph's dad waited for his sister to get ready and left one hour later driving 75 km/hour in an effort to catch up to Joseph and mom. After
driving for four hours Joseph's dad finally caught up. How fast was Joseph's mom driving?

Select the correct response:
100 km/hour
30 km/hour
60 km/hour
50 km/hour

Answers

Answer 1

Answer:

60 km/hr.

Step-by-step explanation:

When Dad caught up the the time he had been  driving was 4 hours and the time Mom had been driving was 1 + 4 = 5 hours.

They both drove the same distance, d km.

For Dad:

speed = d / time

75 = d / 4

d = 75 * 4 = 300 km.

Mom took 5 hours to travel this distance, so

Mom's speed was 300 / 5 = 60 km/hr.

Step-by-step explanation:

Answer 2

Answer:

a solid 50 km/hour

Step-by-step explanation:


Related Questions

2 Mrs. Scott purchased pizzas for her homeroom
students for winning the door decorating contest.
She purchased 3 pizzas and spent a total of $29.85.
How much did each pizza cost?

Answers

Answer:

9.95 per pizza

Step-by-step explanation:

i googled it :)

Answer:

9.95 per pizza

Step-by-step explanation:

just divid it

PLEASE HELP ME ima dumb and really bad at math :(((( !!

Answers

Answer:

-27,0

Step-by-step explanation:

I think, not entirely sure tho.

-27 is the answer ...... i might be wrong

The measure of the angles of a triangle are shown in the figure below . Solve for x

Answers

Answer:

x = 49°

Step-by-step explanation:

Hello! The sum of all angles in a triangle is 180°

64 + 67 = 131

180 - 131 will give you x

180 - 131 = 49° = x

If you need further explanation, let me know!

- profparis

Decrease #40.00 by 5%​

Answers

Answer:

Step-by-step explanation:

its 38

After reducing the given number 40.00 by 5%, the reduced number is, 38

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

The number, 40.00

After reducing it by 5% = ?

5  =  (x/40)×100

x = 2

5% of 40 is 2,

So subtracting it from 40

After decreasing it by 5%

The number = 40-2

                     = 38

Hence, the number is 38

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ2

A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Fluency:

Solve the equation



x + 24= 36 x=?

Answers

Answer:

x=12

Step-by-step explanation:

36-24=12

the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole​

Answers

Answer:

2.5%

Step-by-step explanation:

[tex]if\ the\ art-rice\ of\ pen\ is\ x\\ so\ the\ toux\ is\ 8v-x\\ then\ (80-x)\bullet1\bullet1-a9\bulletx=28\\ so\ x=30.\\ So\ the\ selling\ price\ of\ box\ is\ RS.5\\ the\ selling\ price\ of\ pen\ is\ R527\\ R55+R_27=R8.2\\ so\ profit\ percent=\frac{R882-R830}{280-}\times100\ percent=2.5\ percent\\ (figure\ out\ their\ individual\ oosts)[/tex]

I hope this helps you

:)

Don't scroll!! 40 points for whoever helps me!! T-T
A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.

Answers

Answer: 200ft

half

Step-by-step explanation for the question i don't know: I don't have the true answer but would it be half...? nvm lol

Answer:

[tex]\huge\boxed{\frac{44}{9} \ \text{feet}}[/tex]

Step-by-step explanation:

If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.

Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as [tex]\frac{\text{original}}{\text{shadow}}[/tex].

[tex]\frac{54}{48}=\frac{5.5}{x}[/tex]

We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.

We can solve for x by cross multiplying.

[tex]48 \cdot 5.5=264[/tex]

[tex]264 \div 54 = \frac{264}{54}[/tex]

We can simplify this fraction by dividing the numerator/denominator by 6.

[tex]264 \div 6 = 44\\54\div6=9[/tex]

[tex]\frac{44}{9}[/tex]

So Mindy's shadow is [tex]\frac{44}{9}[/tex] feet long.

Hope this helped!

What is the result of x + 2x - 6 = 21?

Answers

Answer:

9

Step-by-step explanation:

x + 2x - 6 = 21

3x - 6 = 21 /+6

3x = 27 /:3

x = 9

Answer:

x = 9

Step-by-step explanation:

Hope that helps!

(30PTS and PLEASE HELP!!) What is the function rule that describes the pattern in the table?

X: -2, -1, 0, 2, 1


Y: -6, -5, -4, -3, -2


A. x = y - 4


B. y = x + 4


C. y = x - 4


D. x = y + 4

Answers

9514 1404 393

Answer:

  C.  y = x - 4

Step-by-step explanation:

We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...

  x = y + 4 . . . (matches choice D)

However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...

  y = x - 4 . . . matches choice C

Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements. The rule is (x, y) arrowright parenleftzex − , y + parenrightze. The coordinates are Y′parenleftze, parenrightze and Z′parenleftze, parenrightze.

Answers

Answer:

The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.

Step-by-step explanation:

A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:

[tex]X(x,y) +U(x,y) = X'(x,y)[/tex] (Eq. 1)

Where:

[tex]X(x, y)[/tex] - Initial point on the cartesian plane, dimensionless.

[tex]X'(x, y)[/tex] - Translated point on the cartesian plane, dimensionless.

[tex]U(x, y)[/tex] - Translation component, dimensionless.

Vectorially speaking, we find that translation component is:

[tex]U(x, y) = X'(x,y) -X(x,y)[/tex]

If we know that [tex]X(x,y) = (8, -2.3)[/tex] and [tex]X'(x,y) = (3.8, -0.3)[/tex], the translation component is:

[tex]U(x,y) = (3.8,-0.3)-(8,-2.3)[/tex]

[tex]U(x,y) = (3.8-8, -0.3+2.3)[/tex]

[tex]U(x,y) = (-4.2, 2)[/tex]

Now we determine the coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex]:

([tex]Y(x,y) = (6.5, 5)[/tex], [tex]Z(x,y) = (6,3)[/tex])

[tex]Y'(x,y) = Y(x,y) + U(x,y)[/tex] (Eq. 2)

[tex]Y'(x,y)=(6.5, 5) + (-4.2, 2)[/tex]

[tex]Y'(x,y) = (2.3, 7)[/tex]

[tex]Z'(x,y) = Z(x,y) + U(x,y)[/tex] (Eq. 3)

[tex]Z'(x,y) = (6,3)+(-4.2,2)[/tex]

[tex]Z'(x,y) = (1.8, 5)[/tex]

The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.

Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.
AlternativeText
Figure ABCD is translated

unit(s) right and

unit(s) up.

Answers

Answer:

Is Figure A'B'C'D' a translation of Figure ABCD? Explain. Yes; it is translated 2 units left and 2 units up.

Step-by-step explanation:

What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?

Answers

Answer:

x int: -5

y int: -2

Step-by-step explanation:

Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2

Plug in 0 for y to find x intercept 6x + 15(0) = -30 then you would get 6x = -30. Divide 6 on both sides. x = -5

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

What is the answer?

Answers

Answer:

Your answer is: 2x^2+xy-21y^2

Step-by-step explanation:

Hope this helped : )

Jordan has $30.00 to spend. What combination of watermelon, pineapple, and mango can Jordan buy for $30.00? Draw a picture and write a number sentence that shows two different ways he could spend his money if he .00. Cut out the manipulatives on the last page, or draw your own pictures on a separate sheet of paper to help you solve the problem.

Answers

Answer:

he could get like 30 things for a $$$$$$$$$

Step-by-step explanation:

10 watermelon    =     $10

10 mango            =     $10

10 pineapple       =     $10

what is it in simplist form 4/15+1/9

Answers

4/15 + 1/9 = 12/45 + 5/45 = 17/45

In parallelogram EFGH, what is the relationship between angle e and angle f?

e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°

Answers

Answer:

=> e° + f° = 180°

Step-by-step explanation:

we know. that this is a parallelogram .

e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}

Answer:the answer is e° + f° = 180°

Step-by-step explanation:

I got it right

What is the slope of this line

Answers

Answer:

if I'm right 8,1 okkkkkk

Answer:

use y=mx + or - b to solve!

Step-by-step explanation:

Way to go!

With that  you should get (8,1)

find the next three terms in the arithmetic sequence: -3, -8, -13, -18

Answers

Answer:

-23

Step-by-step explanation:

Common difference = 2nd term - 1 st term

                                = -8 - (-3)

                                = -8 + 3

                               = -5

To get the next term add (-5) to the previous term

5th term = (-18) + ( (-5) = -23

y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?

Answers

Answer:

x=3 /

steps: (For x)

Turn the equation into --> -x+1 = 2/3x-4

Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12

Now arrange the terms to where variables are on a side and constants are on a side

it should look like --> -3×-2x=-12-3

Now combine like terms --> -5x=-15

finally just divide by -5 on both sides

x=3

For y:

substitute X for either of the equations

y=2/3 x 3-4

y=-2

The solution is (3,-2)

how do you explain division in an easy way? ​

Answers

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication.

Two fifth of a certain number is 30 what is the number?

Answers

75

- - - - - - - - - - - - - - - - - - - - - - - -

Beginning with an "If-then" statement ⇣

If 2/5 = 30 then 1/5 = 15

Now we have 1/5, let's make it 1 by multiplying x5.

15 x 5 = 75

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck! :)

~pinetree

Write an equation of the line in slope-intercept form.
slope = 3, y-intercept = -4

Answers

The equation would be y = 3x - 4. Hope this helps.

x²-x is divisible by 2​

Answers

Answer:

3

Step-by-step explanation:

2²-2÷2

4-2÷2

=3

hope this helps

For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup

Answers

Answer:

a) 2/3

b) 80 cups

c) 1/3

d) 40 cups

Step-by-step explanation:

Fraction of a full dispenser = 1

a. About what fraction of the cup is filled with liquid

= 1 - 1/3

= 2/3

b. About how many cups of liqiud are in the dispenser

We have 120 cups.of liquid that the dispenser contains

Hence,

= 2/3 × 120

= 2 × 40

= 80 cups

c. About what fraction of the dispenser is empty

= 1 - Fraction of liquid currently in the dispenser

= 1 - 2/3

= 1/3

d. About how many more cups of liquid does it take to fill the cup

= 1/3 × 120

= 40 cups

It will take 40 cups to fill the dispenser

Which inequality is equivalent to −y<7?


A). Y < 7

B). Y > 7

C). Y > -7

D). Y < -7

Answers

Answer:

C) Y > -7

-Y < 7        given

0 < 7 + Y       add Y to both sides

-7 < Y            subtract 7 from both sides

i need help for this still

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.

Kevin, the pharmaceutical salesman, receives
$510 per month base pay plus 6% commission.
In 2 months, after touring a metropolitan area,
He had sold $260,000 in pharmaceuticals.
How much did he make in the two-month period?

Answers

Answer:

16,620

Step-by-step explanation:

so we have 510(2 months)+(260,000x0.06%) = 16,620

please mark as brianlest.

NEED HELP! will give brainiest!!

Answers

Answer: 62999

Step-by-step explanation: sorry if wrong

The measure of c is ???

Answers

Answer: 3*sqrt(13)

Explanation:
this is using the pythagorean theorem: a^2 + b^2 = c^2. c is always the hypotenuse (longest side) of the triangle.
so plugging in the numbers: 9^2 + 6^2 = c^2.
solving: 81 + 36 = c^2
117 = c^2
now to solve for c^2, we can take the square root of both sides: sqrt(117) = c
to simplify the square root, we can factor it. 117 can be divided into 13 * 9. (I just tried numbers given in the options)
so c = sqrt(13 * 9)
9 can be factored into 3 * 3
c = sqrt(13 * 3 * 3)
since we have two 3’s, that can be taken out of the square root to get:
c = 3*sqrt(13)
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