A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?

Answers

Answer 1

Answer:

1/4h

Step-by-step explanation:

If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.

Hence, the time for the bus trip

= (1/2 + x)h

since the bus trip is 3/4h, it means that

1/2 + x = 3/4

collecting like terms,

x = 3/4 - 1/2

= 3/4 - 2/4

= 1/4

Hence the car trip is 1/4h.


Related Questions

Select the polynomial that is a perfect square trinomial.

36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25

Answers

none of the above

Step-by-step explanation:

36x²-4x+16 = (6x)²- 2*2*x+ 4²  this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6²  this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial square

Answer:

option c

Step-by-step explanation:

Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times

Answers

Hey there!

Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!

So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).

3.92÷2.8=1.4

So, the first package is 1.4 times heavier than the first one!

Have a wonderful day!

HELP PLEASE! Thank you!

Answers

Answer:

See attached graph for the first part

Answer to second part: The end part of the graph show the slowest increase

Step-by-step explanation:

The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.

1. If 48% students in the college are Female
if there are 5000 students in the college what
are the numbers ch female of male ;​

Answers

Answer:

2600

Step-by-step explanation:

the number of female : 5000*48%= 2400 female

males =5000-2400=2600 0r 52%

the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length of the altitude.

Answers

Answer:

B. [tex] 4\sqrt{7}[/tex]

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

[tex] h = \sqrt{(xy)} [/tex]

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = [tex] h = \sqrt{(14*8)} [/tex]

[tex] h = \sqrt{112} [/tex]

[tex] h = \sqrt{16}*\sqrt{7}[/tex]

[tex] h = 4\sqrt{7}[/tex]

A cube has side length 0.7 metres.

Work out the total surface area of the cube.
Give your answer in square centimetres

Answers

Answer:

2.94

Step-by-step explanation:

SA

Area of one plane moultyply by number of planes

0.7*0.7*6

=2.94

a) Write 0.35 as a fraction in its simplest form.
b) Write 3/8 as a decimal.
c) A rectangular carpet measures 12m by 5m. Part of the carpet is covered by square rug of length 2m. What fraction of the carpet is covered by the rug? Give your answer in the simplest form.

Answers

Answer:

a.) 7/20

b.) 0.375

c.) 1/15

Step-by-step explanation:

a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.

Simplify that down by dividing both top-bottom by 5 and you get 7/20

b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.

c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m

Find the fraction: 4/60

Simplify by dividing top-bottom by 4 and you get 1/15

The cost of the apple is expressed as y = 12x + 6, where x is the number of apples. Find the cost of dozen apples.

Answers

Answer:

            150

Step-by-step explanation:

x = dozen = 12

12x + 6 = 12•12 + 6 = 144 + 6 = 150

Anthony recorded the heights and weights of the 15 boys in his class. Then he drew the scatter diagram shown below using the information.

Answers

Answer:

a)(140,57)

b)positive correlation

c)155cm (Give or take)

Step-by-step explanation:

a) find the outlier which doesn't follow the pattern as the rest

find the coordinates.(140,57)

b)all of the results follow a positive pattern when weight increases so does the height.

c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.

hope this helps

The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm

The outlier

This is the point that is far from other points in the scatter plot.

From the given graph, the point (140,57) is far from others.

Hence, the outlier point is (140,57)

The correlation type

From the graph, we can see that the points increase towards the right.

This represents a positive correlation

Hence, the correlation type is a positive correlation

Estimated height of a student

The weight is given as:

Weight = 45 kg

From the graph, the closest points to y = 45 are

x = 148, 153, 156 and 158

The mean of these values is 154.

Hence, the estimated height of the student is 154 cm

Read more about scatter plots at:

https://brainly.com/question/6592115

#SPJ6

A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?

Answers

Answer:

About 157 meters

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:

[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]

Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!

Answer:

157.14 m

Solution,

1 round = circumference

[tex]2\pi \: r[/tex]

[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]

[tex] = \frac{44}{7} \times 12.5[/tex]

Required distance covered:

[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]

hope this helps..

Good luck on your assignment...

Plz help me out with these problems.

Answers

I could only do b

3(2x + 4) = 2+6x+10

6x+12 = 2+6x+10

6x- 6x = 2+10-12

0x/0 = 0/0

x = 0

I think

On a coordinate plane, triangle Q R S has points (negative 9, 5), (6, 10), and (2, negative 10). Find the area of the triangle QRS.

Answers

6,10 is not a really bad day for ya but

Answer:

140 square units

Step-by-step explanation:

The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.

Please answer this fast in 2 minutes

Answers

Answer: angles EBA and HBI are congruent

Step-by-step explanation:

they are the congruent because they are verticle angles

Help please!!!!!!!!!!!!!!

Answers

Answer:

200=4hrs=10 of the machines

200=4hrs

300=xhrs

Cross multiply

200×xhrs = 300×4hrs

X=1200/200

X= 6 hours

There are 300 students in the seventh grade at Lincoln Middle School. When the students voted on new school colors, 65% of the seventh graders voted for the combination of blue and silver. How many seventh graders voted for the blue and silver color combination?

Answers

Answer:

195 students voted for the blue and silver color combination.

Step-by-step explanation:

First, you have to convert 65% to a decimal ( You should get 0.65 ).

Next, you multiply 300 by the decimal ( 0.65 )

You should get 195, so that's how many people voted for the blue and silver color combination.

Answer:

195

Step-by-step explanation:

Simplify (7^5)^3 please

Answers

Answer:

7^15

Step-by-step explanation:

(7^5)^3

We know that a^b^c = a^(b*c)

 (7^5)^3 = 7^(5*3)

              = 7^15

what was Tomas's first error

Answers

Answer:

6 + 6y + 6 = 12 + 6

Step-by-step explanation:

2(3) + 6y = 12

Multiply 2(3).

6 + 6y = 12

Subtract 6 on both sides, so y variable is isolated.

6 + 6y - 6 = 12 - 6

6y = 6

Divide by 6 on both sides.

6y/6 = 6/6

y = 1

44: PLEASE HELP Find the x-intercepts of -x+2y=14. X intercept:(___,0)

Answers

Answer:

(-14,0)

Step-by-step explanation:

-x+2y=14 to find the x intercept means y=0

-x+0=14

x=-14

What is the answer...?

Answers

Answer:

I think it's 1/2 because it might be right

The answer is 1/2 (one half)

someone help with my math

Answers

Answer: height = 1.16 ft

Step-by-step explanation:

14 inches = 1.17 feet

Height of the oven =

Height = volume / lw

H = 1.59 / 1.17*1.17

H = 1.16 feet

Answer:

a. 3.25 m

b.1.2 ft

Solution,

a. Let 'h' be the height of cylinder

Given,

Radius(r)=0.7 m

Volume(v)=5 m^3

Formula to find volume of cylinder

[tex]\pi {r}^{2} h[/tex]

where r= radius and h= height

so,

[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]

b.

[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]

hope this helps...

Good luck on your assignment...

PLEASE HELP The data in the table are entered into a regression calculator. x 11 23 48 89 126 155 y 49 94 196 362 511 617 Based on the line of best fit produced by the regression calculator, which is the best prediction for the value of y when x = 64? A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 11, 23, 48, 89, 126, 155. Column 2 is labeled y with entries 49, 94, 196, 362, 511, 617. The linear regression equation is y almost-equals 3.98 x + 5.022; r almost-equals 1. 250 260 317 325

Answers

Answer:

The correct answer is 260

Step-by-step explanation:

Also known as B

Answer:

260 so Answer B

Step-by-step explanation:

Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?​

Answers

Answer:

Number of lawns mow in 49 hours = 31.5 lawns

Step-by-step explanation:

Given:

Number of lawns mow = 9

Time taken = 14 hours

Find:

Number of lawns mow in 49 hours

Computation:

Time taken for 1 lawn = 14 / 9

Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn

Number of lawns mow in 49 hours = 49 / (14/9)

Number of lawns mow in 49 hours = 31.5 lawns

PLS HELP AND ANSWER ASAPPP (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r'...

Answers

Answer:

1) 2 (11) - 1/2

Step-by-step explanation:

Given the following:

A line “t” is parallel to 3y = 6x + 9

Equation of a line;

y = mx + c

Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.

From the equation;

3y = 6x + 9

Divide through by 3

y = 2x + 3

Comparing the line equation with the equation provided :

Coefficient of x = 2, therefore 2 = slope

Since line t is Parallel to y = 2x + 3

Then, slope of line 't' is the same as that of y:

Slope of line 't' = 2

(11) For perpendicular lines :

Slope of original line : 3y = 6x + 9

Divide through by 3

y = 2x + 3

Compare to line equation:

y = mx + c

m = gradient/ slope, c = intercept

Gradient of original line, m = 2

For a line 'r' perpendicular to y = 2x + 3

Gradient, m of line r equals to the negative reciprocal of the gradient of original line

Therefore, gradient of r equals :

-1/2

fgjxgfjvcskutfysfbisylvgkai. is this right that i did???????????????????????????????? dont look it up

Answers

Answer:  NO. He had an increase of 25%

Step-by-step explanation:

To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.

[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]

Convert the decimal into percentage by moving the decimal point two places to the right.  0.25 = 25%

Evan spent 25% more time this week than last week.

It can also be stated that this week Evan did 125% of homework compared to last week.

If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.

Find n. Question below.

Answers

Answer:

B. 5

Step-by-step explanation:

[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]

Can someone help me please.

Answers

Step-by-step explanation:

as you can see all the values more than -3 are included in the graph

so the answer is:

y≥-3

Find the midpoint between each pair of points. (4,7) (2,9)

PLEASE HELP!!!

Answers

Answer:

The midpoint is (3,8)

Step-by-step explanation:

To find the x coordinate of the midpoint,  add the two coordinates together and divide by 2

( 4+2)/2 = 6/2 = 3

To find the y coordinate of the midpoint,  add the two coordinates together and divide by 2

( 7+9)/2 = 16/2 = 8

The midpoint is (3,8)

WILL GIVE BRAINLIST!!!!

Answers

Answer:

What is the question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The data is already in accending order

you look for the value in middle

that will be your median

Find maximum points y=11^(6x-x²) solve using derivative

Answers

Answer:

[tex]\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }[/tex]

Step-by-step explanation:

hello

[tex]y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))[/tex]

so to know the maximum to y we can check the maximum of

f(x)=[tex]6x-x^2[/tex]

f is derivable and f'(x)=6-2x

f'(x)=0 <=> x = 3

so the maximum is reached for x = 3

f(3)=18-9=9

and then

[tex]y = 11^9=2357947691[/tex]

to be rigorous, we can write the variation table of y to show that there is only one maximum

hope this helps

If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, which of the following statements must be true?
A. The polygon is a regular polygon
B. The polygon has 2 sides
C. He polygon has 4 sides
D. The polygon has six sides
E. It's impossible for the sums to be equal

Answers

Answer: D.

Step-by-step explanation:

Hexagon has six sides, the sum exterior angles is 360 degrees

if you divide 360 by 6 you will get 60 degrees for each sides.

I might be wrong, I suck at geometry even if im doing calc

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