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3 years ago

Help me solve this please

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Answer:

the answer is 0.7692

Step-by-step explanation:

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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

nydimaria [60]

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

$3x=y$ ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of $(x+y)$ miles per minute.

$Distance=Speed\times Time$

The distance between both train in 15 minutes is represented by $15(x+y)$ .

According to the given information the distance between trains is 30 miles in 15 minutes.

$15(x+y)=30$

$x+y=2$

Use equation (1) and put $y=3x$

$x+3x=2$

$4x=2$

$x=0.5$

Put this value in equation (1), to find the value of y.

$y=3(0.5)$

$y=1.5$

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

4 0

3 years ago

The factor tree for 1,764 is shown.

Rashid [163]

Answer:

Step-by-step explanation:

|--------------1764------------|

| |

2 |-------882-----------|

| |

2 |--------441------|

| |

|------9-----| |----49---|

| | | |

3 3 7 7

From the factor tree we see that

$1764 = 2^2 \times 3^3 \times 7^2$

Now we need to find the square root of 1764.

$\sqrt{1764} = \sqrt{2^2 \times 3^2 \times 7^2} = \sqrt{(2 \times 3 \times 7)^2} = \sqrt{(42)^2} = 42$

4 0

3 years ago

Read 2 more answers

BEG is a triangle. ABC and DEF are parallel lines. work out the size of angle x.

worty [1.4K]

Answer:

$x=60^o$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the measure of angle BEG

we know that

$m\angle BED+m\angle BEG+m\angle GEF=180^o$ ----> by supplementary angles (form a linear pair)

substitute the given values

$110^o+m\angle BEG+25^o=180^o$

$m\angle BEG=180^o-135^o=45^o$

step 2

Find the measure of angle HBC

we know that

$m\angle HBC+m\angle ABH=180^o$ ---> by supplementary angles (form a linear pair)

we know that

$m\angle ABH=110^o$ ---> by corresponding angles

substitute

$m\angle HBC+110^0=180^o$

$m\angle HBC=180^o-110^o=70^o$

step 3

Find the measure of angle EBG

we know that

$m\angle EBG+m\angle GBC+m\ angle HBC=180^o$

substitute the given values

$m\angle EBG+35^o+70^o=180^o$

$m\angle EBG=180^o-105^o=75^o$

step 4

Find the measure of angle x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle BEG

$m\angle BEG+m\angle BGE+m\angle EBG=180^o$

substitute the given values

$45^o+x+75^o=180^o$

$x=180^o-120^o=60^o$

8 0

3 years ago

/question in attachment.

ValentinkaMS [17]

Answer:

tn= (n-1)*d

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write the equation of the line in fully simplified slope-intercept form.

swat32

Answer:

y=2x-5

Step-by-step explanation:

7 0

3 years ago