a map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area of the lake?

Answer:

-√49

Step-by-step explanation:

iron

Answer:

[tex]\sqrt{49}[/tex]

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The question states that Car A after two hours is at 95. We can represent this as (2, 95). We know the slope is 40, which means we can find the y intercept of Car A using point slope form: y = 40(x - 2) + 95. y = 40x + 15. This means that Car B is 5 miles east of car a, as the Y intercept of Car B is 5 greater.  

Answer: 55 m²

Step-by-step explanation:

The arc length of a half-circle is πr, so the area of the curved surface is A = πrl = π(2.5 m)(7 m) = 17.5π m² ≈ 55 m²

Answer:

4860 ft^2

Step-by-step explanation:

9 feet is represented by 1 inch.

● 9 => 1

Square both sides

● 81 => 1

So a 81 ft^2 square is represented by a 1 in^2 square (picture below)

■■■■■■■■■■■■■■■■■■■■■■■■■■

The gym's area in the blueprint is 60 in^2

That 60 1in^2 squares.

● 1 => 81

● 1×60 => 81×60

We have multiplied both sides by 60

● 60 => 4860

So the original are is 4860 ft^2

The actual square footage of the gym will be 4860 square feet.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The blueprint scale is 1 inch : 9 feet.

Then the scale factor will be (1/9).

If the gym's area is 60 square inches on the blueprint.

Then the actual square footage of the gym will be

⇒ 60 / (scale factor)²

⇒ 60 / (1/9)²

⇒ 60 x 81

⇒ 4860 square feet

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Answer:

3 inches by 1 inches or 6 inches by 2 inches. Both answera are correct

Step-by-step explanation:

just an equivalent ratio

The measurement pairs that could be the dimensions of Rectangle B are;

The scaled copy of a shape is derived if the original figure is dilated by a constant

Given the measure of the sides of rectangle A:

Length = 9in

Width = 3in

Get the dilation factor

Dilation factor k = ratio of the sides

k = 9/3

k = 3

This means that rectangle B must also have the same scale factor as A.

The possible dimension pairs are 6in by 2in and 3in and 1in since the ratio of their sides is also 3;

k = 6/2 =3

k = 3/1 = 3

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Answer:

Step-by-step explanation:

[tex]4\div \:2+5-3\\=2+5-3\\=4\\\\3+5\times \:8\div \:2\\=3+20\\=23[/tex]

Answer:

[tex] \sf{ii) \: \: 23}[/tex]

Step-by-step explanation:

Use PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

i ) [tex] \sf{4 \div 2 + 5 - 3}[/tex]

[tex] \sf{ = 2 + 5 - 3}[/tex]

[tex] \sf{ = 7 - 3}[/tex]

[tex] \sf{ = 4}[/tex]

ii)[tex]3 + 5 \times 8 \div 2[/tex]

[tex] \sf{ =3 + 40 \div 2}[/tex]

[tex] \sf{ = 3 + 20}[/tex]

[tex] \sf{ = 23}[/tex]

Hope I helped!

Best regards!!

The 1st player would have to say 15 and 16. NOT 17.

No matter how it is.

Ex:

14,15,16

15,16

Answer:

90%

Step-by-step explanation:

Experimental probability that in a group of 4 students, at least one of them has hazel eyes is 85%.

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

According to the question

In a school, 30% of the students have hazel eyes.

The number of hazel eyes in data is 17

The total number of data sets are 20.

Experimental probability = [tex]\frac{17}{20}[/tex] × 100%

= 85%

Hence, experimental probability that in a group of 4 students, at least one of them has hazel eyes is 85%.

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Answer:

2x+3x-15=180°

Step-by-step explanation:

When two angles are supplementary, their angles would equal to 180° total when added together. In this answer, the two angles are added together to create 180°.

Answer:

The answer is D

Step-by-step explanation:

Supplementary angles add up to be 180 degrees, so you put the two angles together equal to that

Answer:

Hi!

1.Well, let's try simplifying 4:18 so we can compare.

If we divide 4:18 by 2, we get 2:9  

We can see that 2:9 =/= 2:12

Thus, the two are not equivalent ratios.

2. 5:20 and 15:60 are equivalent, 5:20 x 3 to both numbers is 15:60

Therefore, It is equivalent.

3. 17 times 4 is 68 and 3 times 4 is 12. 17:3 and 68:12 are equivalent because you can times and divide them into each other

4. He read for 180 minutes.  

You can find that because every time he practices math for five minutes, he reads for 20, and 45 is 5, 9 times. So you multiply 20 by 9.

5. If he eats 3 slices in 2 minutes, he will have eaten 15 pieces in 10 minutes.

6. For this one, I hope my calculations are correct, but I do NOT think August made the correct recipe using the correct ratio.

If #6 is wrong, I sincerely Apologize, but I know for a fact #5 is Correct.

Hope this helps! If you need anymore help Let me know i'd be happy to help you!

~~~PicklePoppers~~~

Answer:

Step-by-step explanation:

any two points on dotted line are (0,0) and (4,3)

[tex]slope=\frac{3-0}{4-0} =3/4\\eq.~ of~ dotted~ line~ is ~y=\frac{3}{4} \\consider~the~inequality~ y<\frac{3}{4} x \\take ~any~point~in~the~shaded~region,~let ~x=1,y=0\\\\0<\frac{3}{4}\\which~is~true.\\Hence~y<\frac{3}{4} x[/tex]

Answer:

4X > 3Y

Step-by-step explanaition

The number on the x axis will always be larger than the one on the y-axis because if x is 4 y will be 3

Sorry if this is wrong

Answer:

(-50) x 30 = -1850 + 350

-1500 = -1500

true

Answer:

Step-by-step explanation:

It is example of "Distributive Law":

                                                         a × (b + c)  =  a × b  +  a × c

When we multiply a number by a group of numbers added together we get the same answer as when we do each multiply separately then add them.

Of course, if you don't remember the distributive law, you can verify it just by doing the operations on both sides of the equality:

(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7)

(-50) × [30]         =    (-1850) + 350  

  - 1500             =          - 1500          ← it's true

Answer:

k = -1

Step-by-step explanation:

-3(k-8)-(k+5)=23

Distribute

-3k +24 -k-5 = 23

Combine like terms

-4k +19 = 23

Subtract 19 from each side

-4k +19-19 = 23-19

-4k = 4

Divide by -4

-4k/-4 = 4/-4

k = -1

Answer:

  k = -1

Step-by-step explanation:

Use the distributive property to eliminate parentheses. That property tells you that the outside factor multiplies each term inside parentheses:

  -3(k -8) -(k +5) = 23

  -3k -3(-8) -k -(+5) = 23

  -3k +24 -k -5 = 23 . . . . simplify

  -4k +19 = 23 . . . . . . . . . collect terms

  -4k = 4 . . . . . . . . . . . . . subtract 19 from both sides

  k = -1 . . . . . . . . . . . . . . . divide both sides by -4

_____

The rule for manipulating equations is, "any operation performed on one side of the equation must also be performed on the other side." Operations include addition, subtraction, multiplication, division, application of a function. Using the distributive property and collecting terms are ways to simplify equations that don't affect the truth of the equal sign (if those are done correctly).

In general, you make use of inverse operations to undo the operations you don't want. The goal is to get the variable by itself on one side of the equal sign.

Answer:

2-x

Step-by-step explanation:

Step-by-step explanation:

-16 + 3n = - 8 - 5n

Bringing like terms on one side

3n + 5n = - 8 + 16

8n = 8

n = 8/8

N = 1

Answer:

n=1

Step-by-step explanation:

-16+3n=-8-5n

-16+8=-5n-3n

-8=-8n

-8n=-8

n=1

Proof:

-16+3n=-8-5n

-16+3(1)=-8-5(1)

-16+3=-8-5

-13=-13

Hope this helps ;) ❤❤❤

Answer:

They are not chocolatey enough

Step-by-step explanation: They’re are 5 missing chocolate chips

Answer:

  (A) In step 1, the slope of the line should be One-half

Step-by-step explanation:

Terri calculated the slope as (x1 -x2)/(y1 -y2). Her first error was using this formula, when she should have used ...

  m = (y1 -y2)/(x1 -x2)

  = (6 -3)/(4 -(-2)) = 3/6 = 1/2

The best of the offered descriptions is ...

  In step 1, the slope of the line should be One-half

Answer:

y = (1/2)x + 4

Step-by-step explanation:

As we move from the point (-2, 3) to the point (4, 6), x (the 'run') increases by 6    and y (the 'rise')increases by 3.  Therefore the slope of the line connecting the two points is m = rise / run = 3/6, or m = 1/2.

We want the slope-intercept form of the equation of this line.   The basic form is y = mx + b.  Arbitrarily choosing to use the point (4, 6) and using m = 1/2, we get:

6 = (1/2)(4) + b, or b = 4.

Then the desired equation is y = mx + b, or y = (1/2)x + 4

Answer:

x = 3

Step-by-step explanation:

Perform the indicated multiplication.  We get  

8x - 6 - 8 = 4 + 2x

Combining the x terms results in:

6x - 14 = 4

Isolate x by adding 14 to both sides:

6x = 18

Find x by dividing both sides by 6:

x = 18/6 = 3

x = 3

The solution or the value of x for the given linear equation 2(4x-3)-8=4+2x is x = 3.

Given that:

2(4x - 3) - 8 = 4 + 2x

Use the distributive property on the left-hand side.

(2 × 4x - 2 × 3) - 8 = 4 + 2x

(8x - 6) - 8 = 4 + 2x

Using the associative property:

8x + (-6 - 8) = 4 + 2x

8x - 14 = 4 + 2x

Subtract both sides by 2x.

8x - 2x - 14 = 4

6x - 14 = 4

Add 14 on both sides.

6x = 18

Divide both sides by 6.

x = 3

Hence, the value of x is 3.

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Answer:

a=1

Step-by-step explanation:

35a-29=14-8a

35a+8a=43a

43a-29=14

14+29=43

43a=43

A=1

Answer:

a=1

Step-by-step explanation:

first you distribute for 7(5a-4) so you get 35a - 28 - 1 =14 - 8a.

then you combine like terms so you get 35a - 29 =14 - 8a.

then you do it again which gives you 43a = 43.

divide both sides by 43 to get a by itself and you get a = 1

Answer:

Add 5, and then multiply by 2

Step-by-step explanation:

Answer:

2 x 10 8 x 1 .349 x 1

Step-by-step explanation:

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathsf{x + x + 2 + 2x = - 2}[/tex]

Collect like terms

[tex] \mathsf{4x + 2 = - 2}[/tex]

Move constant to R.H.S and change its sign

[tex] \mathsf{4x = - 2 - 2}[/tex]

Calculate

[tex] \mathsf{4x = - 4}[/tex]

Divide both sides of the equation by 4

[tex] \mathsf{ \frac{4x}{4} = \frac{ - 4}{4} }[/tex]

Calculate

[tex] \mathsf{x = - 1}[/tex]

Hope I helped!

Best regards!

Answer:

-2

Step-by-step explanation:

Because it says it in the problem.

Since you don't know the value of x you make that a zero.

You add the x's and you get zero.

2+2x=2

= -2

Hey There!!

The answer to this is: isosollese triangle has 2 equal sides that are longer than legnth of base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3, wat is legnth of base

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 idneical sides

2(6.3)+b=15.7

12.6+b=15.7

subtract 12.6 from btohs ides

b=3.1

Thus, answer is base=3.1 cm

Hope It Helps!~