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2 years ago

7

The diameter of a certain star is about 6.8 * 10^6 km Express this distance in standard form.

1 answer:

Vladimir [108]2 years ago

3 0

6.8*10^6 km = 6.8*10*10^5 km = 68* 100,000 km = 6,800,000 km
.......................... (10^5 means one folowed by five zeroes)

wich is 6 million and 8 hundred thousand clicks

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If DH = 4x – 10 and FH = x + 8, find the value of x for which DEFG must be a parallelogram

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A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the co

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$x-\ registration\ fee\\
y-\ monthly\ fee\\\\
 \left \{ {{x+4y=370} \atop {x+6y=530\ \ |*(-1)}} \right. \\\\
 \left \{ {{x+4y=370} \atop {-x-6y=-530}} \right. \\+-----\\Addition\\\\
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2 years ago

What is the ratio of classmates who like ham sandwiches to the number of classmates who like bologna and turkey sandwiches?

kirill115 [55]

Answer:

$1: 2$

Step-by-step explanation:

See attachment for complete question.

From the attached, we have:

$Ham = 6$

$Bologna = 2$

$Turkey = 10$

First, we need to get the students that like Bologna and Turkey:

$Bologna\ &\ Turkey = 2 + 10$

$Bologna\ &\ Turkey = 12$

The ratio is determined using

$Ham : Bologna\ &\ Turkey$

This gives

$Ham : Bologna\ &\ Turkey = 6 : 12$

Divide by 6

$Ham : Bologna\ &\ Turkey = 6/6 : 12/6$

$Ham : Bologna\ &\ Turkey = 1 : 2$

<em>Hence, the ratio is </em> $1: 2$ <em></em>

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2 years ago

Prove that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.

MatroZZZ [7]

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2 years ago

-2x + 6y = 6<br> -7x + 8y = -5

AleksandrR [38]

Answer:

$x=-2\\y=2$

Step-by-step explanation:

$-2x+6y=6\\-7x+8y=-5$

Let's multiply the first equation by 7 and the second equation by -2

$(7)(-2x+6y=6)\\(-2)(-7x+8y=-5)$

$-14x+42y=42\\14x-16y=10$

Now add them together. In this step, x is eliminated.

$26y=52$

Divide by 26.

$y=\frac{52}{26}\\ y=2$

Now plug this into any of the two equations to find x.

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2 years ago