Ask question

Ask question

All categories

2 years ago

8

It rained on exactly 7 of the days during Jane's trip. On each day that it rained, it rained either in the morning or in the aft

ernoon but not both. There were exactly 5 afternoons when it did not rain and exactly 6 mornings when it did not rain. How many days did the trip last?

1 answer:

Lerok [7]2 years ago

8 0

Answer:

The trip lasted 9 days.

Step-by-step explanation:

You might be interested in

Write each expression in simplified radical form PLEASE HELP ITS DUE FRIDAY AND I DONT UNDERSTAND THIS AT ALL REALLY BAD TEACHER

Nonamiya [84]

Answer:

1) The simplified radical form is $\sqrt{36x^2}=6x$

2) The simplified radical form is $\sqrt{72x^3}=6x\sqrt{2x}$

3) The simplified radical form is $\sqrt{15x^8}=\sqrt{15}x^4$

4) The simplified radical form is $\sqrt{36x^7}=6x^3\sqrt{x}$

Step-by-step explanation:

1) Given expression is $\sqrt{36x^2}$

To find the simplified radical form of the given expression :

$\sqrt{36x^2}$

$=\sqrt{36\times x^2}$

$=\sqrt{36}\times \sqrt{x^2}$

$=\sqrt{6\times 6}\times \sqrt{x\times x}$

$=6\times x$

$\sqrt{36x^2}=6x$

Therefore the simplified radical form is $\sqrt{36x^2}=6x$

2)Given expression is $\sqrt{72x^3}$

To find the simplified radical form of the given expression :

$\sqrt{72x^3}$

$=\sqrt{72\times x^3}$

$=\sqrt{72}\times \sqrt{x^3}$

$=\sqrt{9\times 8}\times \sqrt{x\times x\times x}$

$=\sqrt{9}\times \sqrt{8}\times x\sqrt{x}$

$=3\times 2\sqrt{2}\times x\sqrt{x}$

$\sqrt{72x^3}=6x\sqrt{2x}$

Therefore the simplified radical form is $\sqrt{72x^3}=6x\sqrt{2x}$

3) Given expression is $\sqrt{15x^8}$

To find the simplified radical form of the given expression :

$\sqrt{15x^8}$

$=\sqrt{15\times x^8}$

$=\sqrt{15}\times \sqrt{x^8}$

$=\sqrt{5\times 3}\times \sqrt{x^4\times x^4}$

$=\sqrt{15}\times x^4$

$\sqrt{15x^8}=\sqrt{15}x^4$

Therefore the simplified radical form is $\sqrt{15x^8}=\sqrt{15}x^4$

4) Given expression is $\sqrt{36x^7}$

To find the simplified radical form of the given expression :

$\sqrt{36x^7}$

$=\sqrt{36\times x^7}$

$=\sqrt{36}\times \sqrt{x^7}$

$=\sqrt{6\times 6}\times \sqrt{x^3\times x^3\times x}$

$=6\times x^3\sqrt{x}$

$\sqrt{36x^7}=6x^3\sqrt{x}$

Therefore the simplified radical form is $\sqrt{36x^7}=6x^3\sqrt{x}$

3 0

2 years ago

What is the measure of DG?<br> Enter your answer in the box.

musickatia [10]

Answer:

Step-by-step explanation:

∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°

7 0

2 years ago

In a certain country, approximately 22 out of 100 people over the age of 12 smoke. How many smokers would you expect in a group

Elan Coil [88]

Answer:

121 smokers

Step-by-step explanation:

This can be calculated as a simple rule of 3.

In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.

When it is direct, as one measure increases, the other will increase too.

When it is inverse, as one measure increases, the other will decrease.

In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.

So we must solve the following rule of three:

22 smokers - 100 people

x smokers - 550 people

x = 550*22/100

x = 22*5.5

x = 121 smokers.

So, in a group off 550 people over the age of 12, there are 121 expected smokers.

8 0

2 years ago

Which ratios are less than 8 to 10? Check all that apply.<br> 6/20<br> 3:5<br> 50/100<br> 13:15

poizon [28]

9514 1404 393

Answer:

6/20, 3:5, 50/100 are all less than 8/10

Step-by-step explanation:

It can help to give all the ratios a common denominator. (We'll use 100, and fudge the last one a bit.)

8/10 = 80/100 . . . . our reference value

__

6/20 = 30/100 . . . less than 8/10

3/5 = 60/100 . . . . less than 8/10

50/100 . . . . . . . . . less than 8/10

13/15 ≈ 86.7/100 . . . more than 8/10

6 0

3 years ago

What is an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5)

Anna [14]

Pareallell lines have same slope
y=mx+b, m=slope
y=3x-8 so we need
y=3x+b
find b

so given (4,-5)
we can subsitute the point
(x,y)
(4,-5)
x=4 then y=-5

so
-5=3(4)+b
-5=12+b
-17=b

y=3x-17 is equation
D is answer

3 0

3 years ago