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3 years ago

Jake and Gloria are running on the track team. Gloria can run twice as many miles as

Mathematics

1 answer:

Tanzania [10]3 years ago

6 0

Answer:

J+2J=12 so 3J=12 so J=4

Step-by-step explanation:

Use J to represent Jake's miles.

We know that Gloria's miles (G) is twice J, so G=2J

We also know that Jake and Gloria together ran 12 miles.

So we know, J+2J=12 or 3J=12 meaning J=4

So Jake runs 4 miles, and since Gloria is two times that she ran 8 miles.

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Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are

Elena L [17]

Answer:

$m\angle ECB+m\angle EFB=180$

$m\angle CDB\cong m\angle EDF$

$m\angle CDB+m\angle DCB+m\angle CBD=180 \degree$

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

$m\angle ECB+m\angle EFB=180$

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

$m\angle CDB\cong m\angle EDF$

Also sum of angles in triangle CBD is 180°.

$m\angle CDB+m\angle DCB+m\angle CBD=180 \degree$

6 0

3 years ago

2x + y + z = 9 -x-y +z = 1 3x - y +z=9

DiKsa [7]

Answer:

603 hope this helps

3 0

3 years ago

You walk 2 miles in 1/2 hour ate that rate , how long will it take to walk 3 miles

irina [24]

If you walk 2 miles in 1/2 an hour, each mile took 15 minutes to walk. Add one more mile and that equals 45 minutes.

It will take 45 minutes to walk 3 miles.

4 0

3 years ago

Read 2 more answers

What is 5X minus Y equals 6+ negative 2X plus Y=8

vova2212 [387]

Answer:

For the given expression: $X = (\frac{10}{3}) , Y = (\frac{26}{3})$

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X - Y = 6 + (-2X) + Y = 8

Now, considering first and the last terms,we get:

5 X - Y = 8 .... (1)

and , considering second and the last terms,we get:

6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)

Adding (1) and (2) , we get:

5 X - Y - 2 X + Y = 8 + 2

or, 3 X = 10

or, X = 10/3 = 3.34

Now, 5X - Y = 8

or, $5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8 = \frac{50 - 24}{3} = \frac{26}{3} \\\implies Y = \frac{26}{3}$

Hence, for the given expression:

$X = (\frac{10}{3}) , Y = (\frac{26}{3})$

3 0

3 years ago

Show how the perfect numbers 6 and 28 were generated. Show the aliquot parts of 6 and 28

Mashutka [201]

Step-by-step explanation:

Perfect number is the positive integer which is equal to sum of proper divisors of the number.

Aliquot part is also called as proper divisor which means any divisor of the number which isn't equal to number itself.

Number : 6

Perfect divisors / Aliquot part = 1, 2, 3

Sum of the divisors = 1 + 2 + 3 = 6

Thus, 6 is a perfect number.

Number : 28

Perfect divisors / Aliquot part = 1, 2, 4, 7, 14

Sum of the divisors = 1 + 2 + 4 + 7 + 14 = 28

Thus, 28 is a perfect number.

3 0

3 years ago