if each square on the grid represents 400mi square how many miles will jacob's family travel?

Answers

Answer 1

Answer:

80miles

Step-by-step explanation:

Area of a square grid = L²

L is the side length of the grid

Given that Area of the square = 400mi square

400 = L²

L =√400

L = 20miles

To get the number of miles travelled, we will find its perimeter

P = 4L

P = 4(20)

P = 80miles

Hence Jacob's family travels 80miles


Related Questions

round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it ​

Answers

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

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Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle

Answers

The answer is scalene

Is the missing side length a leg or the hypotenuse?

Answers

Answer:

the missing side is

[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]

Answer: Hypotenuse

Step-by-step explanation:

This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.

Find the value of p when 3P = 1/9​

Answers

Answer:

p=1/27

Step-by-step explanation:

3p=1/9

when 9 goes to the left land side divide changes into multiplication so 3p and 9 gets multiplied

3p*9=1

27p=1

when 27 goes the right hand side multiplication changes to division .So

p=1/27

The value of P is 1/27 for equation 3P = 1/9​

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Equation is  3P = 1/9​

Three times of P equal to one by nine

We need to find the value of P

3P = 1/9​

Divide both sides by nine

3P/3=1/9×1/3

P=1/27

Hence, the value of P is 1/27.

To learn more on Equation:

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what is the tan B in the given triangle​

Answers

Answer:

tan 4/3

Step-by-step explanation: also bts sucks

Answer:

4/3

Step-by-step explanation:

tan B = opp/adj

tan B = 4/3

53% of 80
? What is the percentage?

Answers

Answer:

42.4

Hope that this helps!

Answer: 66.25%

Step-by-step explanation:

53/80 x 100= 66.25%

Write the following number in standard decimal form
seven and fifty-two thousandths

Please help

Answers

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

what does Δy and Δx stand for

Answers

Δy just means triangle y and Δx means triangle x.

A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car

Answers

Answer:

50km/h

Step-by-step explanation:

Given data

A-B

Time taken= 3 hours

Distance= 150km

B-A

Time taken= 5 hours

We know that

Speed= distance/time

Speed= 150/3

Speed= 50km/h

Hence the speed of the car is 50km/h

Find the sum of the measures of the exterior angles of a 52-gon.


9360°


9000°


360°


520°

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

What is the volume of the following rectangular prism?

Answers

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

What is prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

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the expression (x^2-1)^-2/3 is equivalent to

Answers

Answer:it’s x

Step-by-step explanation:

Sry if I’m wrong

what is 94.2 and 87 averaged out

Answers

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

The answer is 90.6 . You take the sum of the numbers and divide by two .

SOMEONE, PLEASE HELP!!!!!!!!

Answers

Answer:

Step-by-step explanation:

i think it is b

B because i hot it and yeah

Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.

Answers

The pythagorean theorem states that a^2 = b^2 + c^2, where a is the side that opposes the right angle.

In this case, you have a and b, so you need c.

That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.

Answer: 10 in.

Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2}  = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.

Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?

Answers

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?

Answers

Answer:[tex]18+1.5c[/tex]

Step-by-step explanation:

Given

A large cheese pizza costs $18

Each topping add on costs $1.50

for c toppings added, the prize becomes

[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]

Solve the given portion 10/a= 15/24 x=?

Answers

Answer:

[tex]a = 16.[/tex]

Step-by-step explanation:

[tex] \frac{10}{a} = \frac{15}{24} [/tex]

Then

[tex]15 \times a = 24 \times 10[/tex]

So

[tex]a = 240 \div 15[/tex]

Therefore

[tex]a = 16.[/tex]

John finds that there is a scholarship available to all personals scoring in the top 5% on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship

Answers

Answer:

He needs a score of 28.7315 to qualify for the scholarship

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the ACT is 21 with a standard deviation of 4.7

This means that [tex]\mu = 21, \sigma = 4.7[/tex]

What score does he need in order to qualify for the scholarship?

The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 21}{4.7}[/tex]

[tex]X - 21 = 4.7*1.645[/tex]

[tex]X = 28.7315[/tex]

He needs a score of 28.7315 to qualify for the scholarship

A metal washer has an outer diameter of 14mm and an inner diameter of 6mm.Use the value of 3.14 for the to find the area of the metal washer

Answers

Answer:

502.4 mm^2

Step-by-step explanation:

First find the area of the larger circle, and then that of the smaller one.

Then subtract the latter (2nd) area from the first.

larger circle area           smaller circle area

-------------------------           ---------------------------

 3.14(14 mm)^2                   3.14(6 mm)^ 2

This comes out to 3.14[14^2 - 6^2] mm^ 2 =  3.14[196 - 36] mm^2, or

3.14(160 mm^2) = 502.4 mm^2

The area of the metal washer is 502.4 mm^2.

Two events X and y, are independent of eachother. P(Y)=5/6 and P(X and Y)=1/3. What is P(X) written as a decimal. Round to the nearest tenth, if necessary

Answers

Answer:

0.2

Step-by-step explanation:

0.2=2/6=1/3=P(x)

.........

At Safeway, a pound of apples cost $1.32. Mrs. Terry purchased 7.5 pounds of apples. How much money did
Mrs. Terry spend on apples?

Answers

Answer:

the answer is $1.32×7.5=$9.9

Answer:

£9.90

Step-by-step explanation:

There are 2 ways you can do this. Both are similar.

For the first method it's much quicker but you might need a calculator.

You would simply do 7.5 × 1.32 = £9.90 that should give you the answer.

If you were to do it with out a calculator then what you need to do is 7 × 1.32 = 9.24

Because there is still 0.5 (or 1/2) left from the 7 that you multiplied, you do 1.32 ÷ 2 = 0.66.

Add the 2 numbers together

0.66 + 9.24 = £9.90

Write the equation of this line in point-slope form and slope-
intercept form.
Slope = -1 through point (-3,5)

Answers

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3

Answers

Answer:

[tex]2034.72\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.

What we're given:

[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]

answer?? please answerr

Answers

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

(0, -4)(2, 6) (-2, -14)

function A y-int: (0, -86)

function B y-int: (0, -4)

What rav3ntails said

I need this answer quickly

Answers

X = 23 is the answer

9=5-x÷2

x=23

23-5=18÷2=9

The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, how many cars did they wash on Sunday?

Answers

Answer:

If I did my math correctly, They washed 15 cars on Sunday.

Step-by-step explanation:

50 cars = 100%

Therefore 1 car would be 2% because 50 is half of 100.

So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday

With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday

Here is some extra data:

10% = 5 cars

20% = 10 cars

30% = 15 cars

40% = 20 cars

50% = 25 cars

60% = 30 cars

70% = 35 cars

80% = 40 cars

90% = 45 cars

100% = 50%

Basically, every 10% is +5 cars

Find the nth term of 9, 12, 13, 18​

Answers

Answer:

3

Step-by-step explanation:

in this pattern, you can see that it constantly increases by 3. knowing that, we can plug in 3 I. your equation to figure out any term you would like!

Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?

Answers

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB

Answers

Answer:

AC + CB < AB

Answer:

AC + CB < AB

Step-by-step explanation:

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