Drag and drop the angle pairs to correctly match their description.

Answer:

2/7, 3/7

Step-by-step explanation:

Total outcomes=7

No. 6 outcomes=2

P(E)= Favourable outcomes/total outcomes

    =2/7

Total even no.= 3

∴ P(E)= 3/7

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Answer: -6 You answered your own question-

Answer:

speed of boat is 35 mph

speed of river is 5mph.

Step-by-step explanation:

Let the speed of boat be u mph

let the speed of river be v mph

When boat travel downstream

in that case flow  of river will support the speed of boat hence

speed of river will be added to speed of boat

Thus,

speed of boat in downstream = speed of boat + speed of river = u + v

Given

the boat travels at 40 mph downstream

thus,

u + v = 40           -----1

When boat travel upstream

in that case flow  of river will oppose the speed of boat hence

speed of river will be subtracted from  speed of boat

Thus,

speed of boat in downstream = speed of boat -speed of river = u - v

Given

the boat travels at 30 mph upstream

thus,

u - v = 30  ----2

adding 1 + 2

we have

u + v = 40  

+ u - v = 30

2u = 70

u = 70/2 = 35

Thus,

speed of boat is 35 mph

using u = 35 in u + v = 40  

we have

35 + v = 40

v = 40 - 35 = 5

Thus, speed of river is 5mph.

Answer:

B

Step-by-step explanation:

the line is perpendicular to y=1/2x-3

so its gradient, m, would be -2 (m¹m²= -1)

sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form

y-y¹ = m(x-x¹)

The equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-2,2)

Then the equation of a line perpendicular to the graph of y= 1/2x-3.

its gradient, m, would be; -2 (m¹m²= -1)

Now Write the equation as;

y-y₁ = m(x-x₁)

y - 2= -2(x + 2)

y = -2x - 2

Hence, the equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

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The total cost of 245 pounds of squash and 3110 pounds of zucchini is  $4965.4.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The unit rate for squash and zucchini is $1.48 per pound.

In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,

The cost for 245 pounds of squash is 245 × 1.48 = $362.6

And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.

Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.

Hence, the total cost of vegetables at the given rate is $4965.4.

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Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

3 * 3 * 3 = 27

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Answer:

Range is (-5,5)

Step-by-step explanation:

It is the range of y values for the graph

Answer: 9.49s + 5.99b ≤ 65

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Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation

Answer:

an=−4n+12

A sub n is equal to negative 4 n plus 12,

Step-by-step explanation:

9514 1404 393

Answer:

  1. b

  2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons

Step-by-step explanation:

The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...

  gallons = miles/(miles/gallon)

  18 mpg: 1000/18 = 55.6 gallons

  28 mpg: 1000/28 = 35.7 gallons

  34 mpg: 1000/34 = 29.4 gallons

  54 mpg: 1000/54 = 18.5 gallons

So, ...

  replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.

  replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.

Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.

__

The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.

Answer:

2.5 cups

Step-by-step explanation:

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Answer:

1. 2x-20+2x-15=13

4x-35=13

4x=13+35

4x=48

x=12

2. x-4+9=2x-4

2x-x= -4+9+4

x=9

3. IJK=41+130=171

4. KJD=88-50=38

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

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

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

Answer:

integers

Step-by-step explanation:

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

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Answer:

two trillion nine hundred forty-six billion five hundred million

The company produced 2946.5 billion milliliters.

Multiplication is a mathematical arithmetic operation.

The process of adding the same number many times is repeated addition.

Multiplication is a repeated addition.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Last year,

a company that makes apple juice produced 8.3 billion bottles of apple juice.

And 355 milliliters of juice occupied by each bottle.

then the company produced,

= 355 x 8.3 billion milliliters,

= 2946.5 billion milliliters.

Therefore, 2946.5 billion milliliters.

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Answer:

angle 3's measurement should be 117 degrees

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The measure of angle 3 is 117 degrees.

In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.

Since the angle 5 is 63 degrees

and, the total of two angles is 180 degrees

So, the angle 3 is

= 180 - 63

= 117 degrees

hence, The measure of angle 3 is 117 degrees.

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Answer:

m<1 = 74

m<2 =  74

m<4 = 74

Step-by-step explanation:

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Given:

The recipe calls for 0.5 quart of milk and 2.5 cups of flour.

She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.

To find:

Whether she have the correct amount of milk and flour to make the pancakes from the recipe.

Solution:

Required Milk = 0.5 quart

Milk she has =  [tex]\dfrac{3}{8}=0.375[/tex] quarts

Clearly, 0.375 < 0.5.

Required Flour = 2.5 cups

Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups

Clearly, 2.25 < 2.5

Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe

Answer:

3 or 2 is the answer to the question

Answer:

Point D

because you go 5 to the right and 3 down.

D

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