At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.

Given:

In ΔGHI, GI is extended through point I to point J.

[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]

To find:

The measure of angle GHI.

Step-by-step explanation:

According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.

Using exterior angle theorem, we get

[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]

[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]

[tex](6x-5)^\circ=(4x+21)^\circ[/tex]

[tex]6x-4x=21+5[/tex]

[tex]2x=26[/tex]

Divide both sides by 2.

[tex]x=13[/tex]

Now,

[tex]m\angle GHI=(3x+13)^\circ[/tex]

[tex]m\angle GHI=(3(13)+13)^\circ[/tex]

[tex]m\angle GHI=(39+13)^\circ[/tex]

[tex]m\angle GHI=52^\circ[/tex]

Therefore, the measure of angle GHI is 52 degrees.

Answer:

Step-by-step explanation:

If the scale showed 2 ounces for a sample of matter and 56.7grams for the same sample, then;

2 ounces = 56.7grams

If She has a rock that weighs 708.75 grams but needs to know the weight in

ounces, we can say;

x ounces = 708.75grams

Combining both equality postulates

2 ounces = 56.7grams

x ounces = 708.75grams

Cross multiply

56.7 × x = 2 × 708.75

x = (2 × 708.75)/56.7

The proportion is (2 × 708.75)/56.7

Calculate x:

x = 1417.5/56.7

x = 25

Hence the weight of the 708.75g rock in ounces is 25ounces

Answer:

An equation for the question above is y = 3x + 9.

Answer:

An hour and 45 minutes

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

The battery charge left in the phone = 5/8 of its battery

The battery loses every hour = 3/8 of its battery

The number of hours the battery will last if it loses 3/8 of its battery every hour:

= 5/8 ÷3/8

= 5/8 x 8/3

= 5/3

= 1.67 hours

This means,

1 hour = 60 minutes

Multiply 1.67 on both sides.

1.67 hours = 1.67 x 60 minutes

1.67 hours = 100.2 minutes

1.67 hours = 1 hour 40.2 minutes

Thus,

The number of hours the battery will last if it loses 3/8 of its battery every hour is 1 hour 40.2 minutes.

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Answer:

increase

Step-by-step explanation:

Once Your Monthly Payment Has Been Lowered, More People Will Be Interested Do To Its Lower Payment.

Answer:

the number that repeat is number 2

Answer:

+1+2+2+4+2

Step-by-step explanation:

Answer: Exact Form:

√

97

6

Decimal Form:

1.64147630

Btw that's 97 radical 6

~ zachary

Answer:

[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]

Step-by-step explanation:

We have the two points: (2, 5/2) and (8/3, 1).

And we want to find the distance between them.

So, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (2, 5/2) be (x₁, y₁) and let (8/3, 1) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(\frac{8}{3}-2)^2+({1-\frac{5}{2})^2[/tex]

Evaluate the expressions within the parentheses. For the first term, we can change 2 to 6/3. For the second term, we can change 1 to 2/2. So:

[tex]d=\sqrt{(\frac{8}{3}-\frac{6}{3})^2+({\frac{2}{2}-\frac{5}{2})^2[/tex]

Evaluate:

[tex]d=\sqrt{(\frac{2}{3})^2+(-\frac{3}{2})^2[/tex]

Square:

[tex]d=\sqrt{\frac{4}{9}+\frac{9}{4}[/tex]

Add. We can change 4/9 to 16/36. And we can change 9/4 to 81/36. So:

[tex]d=\sqrt{\frac{16}{36}+\frac{81}{36}}[/tex]

Add:

[tex]d=\sqrt{\frac{97}{36}}[/tex]

We can separate the square roots:

[tex]d=\frac{\sqrt{97}}{\sqrt{36}}[/tex]

Simplify. So, our distance is:

[tex]d=\frac{\sqrt{97}}{6}\approx1.6415[/tex]

Answer:

Step-by-step explanation: !!DISCLAIMER IM NOT ALWAYS THE SMARTEST BUT IM PRETTY SURE THIS IS RIGHT!

!well what I did. You know that 60 minutes=one hour. So I put 2 & 1/2 over 60.

Make 2 & 1/2 a improper fraction=5/2.

So 5/2 over 60

Then divide. 5/2 divided by 60 ( which is 60/1)

Then leave change flip, meaning leave the 5/2 change the division sign to multiplication, and flip, which you would flip 60/1 to 1/60

So we have 5/2 times 1/60. Multiply across. 5 times 1= 5. 2 times 60=120

So we have 5/120

Now we simplify 120 divided by 5 = 24. And 5 divided by 5 = 1

So 1/24

That’s all I know.. I know it didn’t have the answers but I hoped it help a bit

Answer:

805 x 4 = 3,220

3,220 / 4 = 805

Step-by-step explanation:

Its the same thing but backwards!

Stay Safe!

Answer:

4.8278117e+22

Step-by-step explanation:

Answer:

Raleigh.

Step-by-step explanation:

Just look for the Fahrenheit with the smallest number.

Answer:Raleigh

Step-by-step explanation:Your going to go for the smallest and I just took the quiz

Answer:

(3175-4035)/(4035)= -.213 so a 21.3% decrease

Step-by-step explanation:

wish I helped good luck mate

Answer:

You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.

18:3  and 6:1  are equivalent ratio because two ratios are in proportion

Given :

We are given with two ratios 18:3  and 6:1

We need to show that two ratios are equal

Lets take ration 18:3

Both 18  and 3  are divisible by 3

We can write the ratio in fraction form

[tex]\frac{18}{3} \\[/tex]

When we divide both top and bottom by 3  , we get

[tex]\frac{6}{1}[/tex]

we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]

Hence, the ratios are equivalent ratios

18:3  and 6:1  are equivalent ratios

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Answer:27 ://///

Step-by-step explanation:

Answer:

$.48 per bottle

Step-by-step explanation:

The unit price is the total price divided by the number of items

2.88/6

$.48 per bottle

Answer:

see below

Step-by-step explanation:

f(x) = 4x-3

Let x=-4

f(-4) = 4*-4 -3 = -16-3 = -19

Let x=-3

f(-3) = 4*-3 -3 = -12-3 = -15

Let x=1

f(1) = 4*1 -3 = 4-3 = 1

Let x=4

f(4) = 4*4 -3 = 16-3 = 13

Let x=5

f(5) = 4*5 -3 = 20-3 = 17

Answer:

First one:-19

Second one:-15

Third one:1

Fourth one:13

Fifth one:17

HOPE THIS HELPS :)

Step-by-step explanation:

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

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Answer:

Step-by-step explanation:

8 qts of lemonade calls for 6 cups of sugar; 2x of each.

2 qts of lemonade calls for 1.5 cups of sugar or half as much.

10 qts of lemonade calls for 7.5 cups of sugar

Answer:hi I believe is is Ben and Elizabeth

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

My bad don't know how to explain..

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

your welcome :}

Answer:c

Step-by-step explanation:

Answer:

Ok the so the answer is 103.075

Step-by-step explanation:

So how you do this divided the tax rate by 100 which gives you 0.085 and then you times that by 95 and you get 8.075 which you add to 95 to get 103.075

PLEASE HEART

Answer:

[tex]the \: value \: is \:0.5 \: i.e\: option\:b[/tex]

Answer:

.50

Step-by-step explanation:

I am pretty sure

Answer:

1kg apple for 0.25 rupees

Step-by-step explanation:

Hope this helps!!

Answer:

x=24

Step-by-step explanation:

The straight line is 180 degrees so 180-35=145.

Than do 145=6x+1 and find x

144=6x

144/6=24

x=24

Answer:

x=24

Step-by-step explanation:

180-35=145

6x+1=145

6x=144

x=24