Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

StartFraction one-fourth EndFraction left-parenthesis x plus 30 plus 60 right-parenthesis equals x.(x + 30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)
StartFraction one-fourth EndFraction x left-parenthesis 30 plus 60 right-parenthesis equals x.x(30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals left-parenthesis 30 plus 60 right-parenthesis.(x) = (30 + 60)

Answers

Answer 1

Answer:

StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)

Step-by-step explanation:

Answer 2

The equation that can be used is:

(1/4)*(30 min + 60 min + x) = x

So the correct option is the first one.

How to get the correct equation?

We know that Hiroshi spends:

30 minutes on history.60 minutes on English.x minutes on math.

The total time is:

30 min + 60 min + x

And we know that one-fourth of the total time that he studies is spent on math, then we can write:

(1/4)*(30 min + 60 min + x) = x

This is the equation we need to solve.

Solving it gives:

30 min + 60 min + x = 4x

90 min = 3x

(90 min)/3 = x = 30 min.

If you want to learn more about equations, you can read:

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Related Questions

What is the area of a circle that has a diameter of 16in? A: 50.24 square inches B: 803.84 square inches C: 200.96 square inches D: 25.12 square inches​

Answers

Answer:

A = 200.96 in² (Answer C)

Step-by-step explanation:

The formula for the area of a circle of radius (not diameter) is A = πr².

Here the diameter is 16 in, so the radius is half that, or 8 in.

Then the area of the circle in question is

A = π(8 in)² = 64π in²

If tis is evaluated, we get    A = 200.96 in² (Answer C)

SHOW WORK PLEASE

Marion and her friends are driving to see a concert at the stadium, a trip of 145 miles. They drive for 2 hours at a steady rate of 40 miles per hour and then stop for gasoline. How much further do they have to travel to arrive at the stadium?

Answers

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

20 points I beg you help
What is the common difference for the arithmetic sequence 14, 8, 2, -4, -10…. ?

Answers

Answer : -6

The common difference of a sequence is the value that changes every time the sequence continues.

In your sequence it is seen that 6 is subtracted from each term in order to get to the next in the sequence.

Answer:

common difference = -6

Step-by-step explanation:

7th grade math help me pleaseeee

Answers

Answer:

The lower left one.

Step-by-step explanation:

If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.

Answer:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]

Step-by-step explanation:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]              (Isolate parentheses)

[tex]3w-6=3w-6[/tex]                      (Add six to both sides to isolate one variable w)

[tex]3w=3w[/tex]                                  (Divide by three to isolate variable w)

[tex]w=w[/tex]

Because we got [tex]w=w[/tex], that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.

I hope this helped :)

What is it yalll !??????

Answers

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

Write an equation of a line in slope-intercept form for the
given conditions.
passes through (4,33) and (1,21)

Answers

Answer:

The desired equation is thus   y = 4x + 17

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is y = mx + b.  There are two values to find:  slope m and y-intercept b.

The line passes through (4, 33).  Thus, 33 = m(4) + b.

The line also passes through (1, 21).  Thus, 21 = m(1) + b, or m = 21 - b.

Thus we have a system of linear equations to solve, and will use the substitution method:

Substitute 21 - b for m in 33 = 4m + b:

33 = 4(21 - b) + b, which, in expanded form, is 33 = 84 - 4b + b, or

                                                                             33 = 84 - 3b, of

                                                                             -51 = -3b.

Thus, b = 17.  Since m = 21 - b, when b = 17, m = 21 - 17 = 4

The desired equation is thus   y = 4x + 17

Of course there are other ways to find this equation.  You could, if you wished, find the slope of the line passing through the given points using the definition of slope, and then find the y-intercept.

Please help me! Thank you

Answers

Step-by-step explanation:

5⁰= 1

2–3 means 1/2³

1/8

=0.125

A rectangular prism has a length of 11cm, a height of 20cm, and a width of 10cm.
What is its volume, in cubic cm?

Answers

Answer:

la respuesta es nose

Mallory goes to the farmers market every weekend. She buys six apples for $0.75 each and a bagful of oranges that are priced at $1.25 per orange. The total charge is $14.50. Write the equation representing this situation where n represents the number of oranges.

Answers

Answer:

Number of oranges = 8

Step-by-step explanation:

let

a = number of apples

n = number of oranges

Number of apples = 6

Cost of each apple = 0.75

Number of oranges = n

Cost of each orange = $1.25

Total cost = $14.50

Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange

14.50 = 6 * 0.75 + n * 1.25

14.50 = 4.5 + 1.25n

14.50 - 4.5 = 1.25n

10 = 1.25n

n = 10 / 1.25

n = 8

Number of oranges = n = 8

Therefore, there are 8 oranges in a bagful of orange

How do you rewrite an equation by completing the square?
x^2+10x+21=0

Answers

Answer:

Step-by-step explanation:

x²+10x+21=0

x²+10x+(10/2)²-(10/2)²+21=0

x²+10x+25-25+21=0

(x+5)²-4=0

(x+5)²=4

(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²

(x+y)²=x²+2xy+y²

coefficient of x=2y

y²=[(coefficient of x)/2]²=(2y/2)²=y²

In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. What is the margin of error with a confidence level of 95%?

Answers

In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. a) What is the margin of error with a confidence level of 95%?
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first. The system described above is represented by the following equations: y --X-2 y - 4x - 19 Please select the best answer from the choices provided

The margin of error is 0.1245 (approx) with a confidence level of 95%.

What is margin of error ?

Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.

Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

where [tex]z^{*}[/tex] is the value for confidence level or quantile,

p is the sampling mean proportion and n is the sample size.

How to find margin of error in given problem ?

Here, The sampling mean proportion(p)= 0.28

The sample size(n)= 50

Confidence level = 95%

Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96

Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]

                            = [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]

                            = [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]

                            = [tex]1.96\sqrt{0.004032}[/tex]

                            = [tex]1.96[/tex]×[tex]0.0635[/tex]

                            = [tex]0.1245[/tex] (approx)

So, The margin of error is 0.1245 (approx).

Learn more about margin of error here :

https://brainly.com/question/10218601

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I need help fast!!!!!!!!!!

Answers

g(x)=2/5(10)-x it the last one

y=-3x+3

X. y
-4
-2
0
2

Answers

Answer:

y/3

Step-by-step explanation:

y=-3x+3

3=3x-y

3/3=3x/3-y/3

I don’t know how to do these questions so help plz

Answers

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!

What is the length of the hypotenuse of the right triangle in the diagram?

Answers

Answer:

it's hypotenuse will be -8


Which of the following is the value of g(60)?

Answers

It is number one hope it helps :D

Please solve for X and Y

Answers

Answer:

x=16

..................

If you flip a coin 50 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer: 25

Step-by-step explanation: 50 divided by 2 is 25

The answer to this will be 25 correct

Question 7 (5 points)
Which ordered pair is a solution to the system of inequalities?

A) (0,5)
B) (4,-1)
C) (-4,0)
D) (1,3)

Answers

Answer:

I think the answer b not sure tho

what is the angle of elevation of the sun when a 47 ​-ft mast casts 33ft​ shadow?

Answers

Answer:

care

Step-by-step explanation:

i dont know

The equation of a circle is x2 + y2 + 2x - 10y - 38 = 0. What are the coordinates of the
center and the length of the radius of the circle?

Answers

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Solve 2x + 5y = -13
3x - 4y = -8
(4,1)
(-4,1)
(4.-1)
(-4,-1)

Answers

The answer is (-4,-1). Hopes this helps :)

Sthephanie has 3 3/4 bags of soli to put in her garden. Each bag of soil will cover 125.3 ft how many square feet will sthephanie be able to cover if she uses all bags of soli?

Answers

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Solve for x.
Please helppp

Answers

Answer:

x = 23

Step-by-step explanation:

2x + 19 + 5x = 180

I say this because it is an angle that is equivalent to the one adjacent to 2x+19, which is on a straight line. That means it is equal to 180.

7x + 19 = 180

180 - 19 = 7x

161/7 = x

x = 23

Step-by-step explanation:

5x+2x+19=180

7x+19=180

7x=180-19

7x=161

x=161/7

x=23

if u want more ans

5x

5×23

115

2x+19

2×23+19

65

hope it helps

In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?

Answers

Answer:

YZ , XZ , XY

Step-by-step explanation:

first lets find angle Z

angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)

27 + 48 + angle z=180

75 + angle z=180

angle z =180-75

angle z =105 degree

side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY

first YZ then XZ and XY.

find x pls n ty!4?2!<3

Answers

Answer:

x = 8

Step-by-step explanation:

A² + B² = C²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

x = [tex]\sqrt{64}[/tex]

x = 8

Hope this helps!

it refers to the number of times an observation occurs or appears in a data set​

Answers

The information collected in term of numbers is called data. ... The number of times a particular observation occurs in a given data is called its frequency.


Hope this helps :D

15 points!! Are any of these right?

Answers

Answer:

it is the second one

Step-by-step explanation:

the y intercept for the first one isnt the origin

It is decreasing from negative infinity to -2.5 for the first one

Which expression is equivalent to Cube root of 125 x Superscript 6 Baseline y Superscript 15 Baseline z cubed?

5x3y3z
5x2y5z
25x2y3z
25x2y5z

Answers

Answer:

answer is B

Step-by-step explanation:

Answer:

it really is B.5x2y5z

Step-by-step explanation:

got it right on edge

find the sum of this infinite geometric series.
HELP!!

Answers

The answer would be 128!!!
The sum of the geometric series is 128
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