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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:

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

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.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

Answer:

A' (2, -1)

Explanation:

The object's point A has a coordinate of (-2, 4).

The translation rule states that you:

- Add the x coordinate by 4 (x + 4)

- Subtract the y coordinate by 5 (y - 5)

Substitute the rule to point A's coordinate (x = -2 and y = 4).

(-2 + 4 , 4 - 5) = (2, -1)

Notice that the image's point A has moved four steps to the right and down by five steps from the original object.

Answer:

0.7 more hours

Step-by-step explanation:

8.6 - 7.9 = 0.7 more hours

Answer:

805 x 4 = 3,220

3,220 / 4 = 805

Step-by-step explanation:

Its the same thing but backwards!

Stay Safe!

Answer:

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

Step-by-step explanation:

wish I helped good luck mate

Answer:

1kg apple for 0.25 rupees

Step-by-step explanation:

Hope this helps!!

It would equall 22

Subtract 18 from both sides of the inequality.

a<40−18

Subtract 18 from 40.

a<22

The result can be shown in multiple forms.

Inequality Form:

a<22

Interval Notation: (−∞,22)

Answer:

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

Answer:

.50

Step-by-step explanation:

I am pretty sure

Answer:

the number that repeat is number 2

Answer:

+1+2+2+4+2

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

Someone got my answer deleted

Step-by-step explanation:

Answer:

A=wl

w=width

l=length

Step-by-step explanation:

Answer:

a=lw

Step-by-step explanation:

If you have a rectangle that was 2 inches wide, and 4 inches long, you would multiply the length(l) by the width(w) to get the area(a).

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:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

your welcome :}

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:

3 Apples and 5 Mapples!!!

Step-by-step explanation:

Answer:

you have 8 apples

Step-by-step explanation:

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:

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

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:

4.8278117e+22

Step-by-step explanation:

Answer:

27.2x - 61.6

Step-by-step explanation:

16x + 5.6(2x - 11)

16x + 11.2x - 61.6

27.2x - 61.6

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