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3 years ago

Which number can you use as a denominator to write equivalent fractions for 4/7 and 5/6

Mathematics

1 answer:

max2010maxim [7]3 years ago

7 0

7 and 6 have the number 42 in common so 42 can be used as the denominator

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It takes Mike 1 hour to get to work each day. He first rides the train, which travels at an average rate of 65 miles per hour. T

Pepsi [2]

Answer:

Time_subway = 6 minutes

Step-by-step explanation:

Total time to get to work = 1 hour

Total_distance = 61 miles

Speed_train = 65 miles/h

Speed_subway = 25 miles/h

The fomula for speed is defined as

Speed = distance/ time, which means that

Time = distance/speed

Total_time = time_train + time_subway

Total_time = (distance_train/Speed_train) +

(distance_subway/Speed_subway )

1h = (distance_train/65) + (distance_subway/25 )

We also know that

Total_distance = 61 miles = distance_train + distance_subway

We solve the system of two equations

1 = (distance_train/65) + (distance_subway/25 )

61 = distance_train + distance_subway

We obtain that

distance_train = 58.5 miles

distance_subway = 2.5 miles

So the time spent on the subway is

t_sub = (2.5 mi/25 mi/h) = 0.1 h

0.1 h is equal to 6 minutes

3 0

3 years ago

Read 2 more answers

What is the remainder when the polynomial 5x2+10x−15 is divided by x + 5? Enter your answer in the box.

otez555 [7]

ANSWER
The remainder is
$60$

EXPLANATION

Let

$p(x) = 5 {x}^{2} + 10x - 15$

We shall apply the remainder theorem to obtain the remainder when
$p(x)$
is divided by
$x + 5$

According to the remainder theorem, if a polynomial
$p(x)$
is divided by
$x - a$
then the remainder is
$p(a)$

So we set
$x + 5 = 0$

and solve for
$x$

to obtain,

$x = - 5$

We now substitute -5 into the given polynomial to find the remainder.

$p( - 5) = 5 {( - 5)}^{2} + 10( - 5) - 15$

This gives us,

$p( - 5) = 5(25) - 50 - 15$

This will simplify to,

$p( - 5) = 125 - 50 - 15$

$p( - 5) = 60$

Therefore the remainder is
$60$

5 0

3 years ago

Read 2 more answers

How can the sum be found using mental math?

leonid [27]

Answer:233

Step-by-step explanation:you add your 6 to your 54 to get 90 and 60 then you add those to get 150 and then you add the 83 by adding 50 first and you get 200 and 33 then simply add those together to get 233

6 0

3 years ago

What is the preimeter of a haxagon that has equal sides of 12 inches?

lidiya [134]

Answer:

72 inches because a hexagon has 6 sides so you multiply 6 × 12

3 0

3 years ago

Read 2 more answers

to make applesauce you need 2 cups of sugar for every 16 apples use the ratio table to find out how many cups of sugar you need

expeople1 [14]

For this case we are going to define the following variables:
x: number of cups of sugar
y: number if apples
We then have the following relationship:
$\frac{x}{y} = \frac{2}{16}$
For 4 apples we have: $\frac{x}{4} = \frac{2}{16}$
From here, we clear the value of x.
We have then:
$x = 4 \frac{2}{16}$
$x= \frac{8}{16}$
$x= \frac{1}{2}$
Answer:
you need 1/2 cups of sugar if you have 4 apples

4 0

4 years ago