Two angles of a triangle have the same measure and the third one is 60 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer: 12 dimes, 48 nickles.

Step-by-step explanation:

Let x = the number of dimes

Let 4x = the number of nickels

x + 4x = 60

5x = 60

x = 12 dimes

4x = 48 nickles

She has 48 nickels and 12 dimes.

Equation

At first, we have to express the sentence into equation:

Given:

x = nickels

y = dimes

Susan has a collection of 60 nickels and dimes  --> x + y = 60 ............. (1)

the number of nickels is four times the number of dimes --> x = 4y ......(2)

then we must input the equation (2) into the equation (1):

x + y = 60

4y + y = 60

5y = 60

y = 60/5

y = 12

As we know the value of y, we can calculate the value of x from the equation (2):

x = 4y

x = 4 * 12

x = 48

Thus, Susan has 48 nickels and 12 dimes

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Answer:35 divide by 10.50= 3.33 = 4 hrs

Step-by-step explanation:

Answer: -16.66

Reason: 10*-5/3=−16.66666667 or −50/3​

Answer:

2/7

Step-by-step explanation:

2 parallel lines have the same slope

we just need to find the slope of the line with the point’s connecting O and P

We use y2-y1/x2-x1 to find slope

3-1/2-(-5)

2/7

2/7 is the slope

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

If the equation is going off of what is the traditional, and correct way to tip, the tip would be based off the total BEFORE tax.

Therefore, the expression for the total cost would be: x + .23x +.08x, which, simplified, would be 1.33x.

Answer:

The temperature increased in 30 degrees Celsius

Step-by-step explanation:

The instantaneous rate of change of power with respect to velocity is 1.6 W/mph.

What is the rate of change function?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given, P = 0.015[tex]V^{3}[/tex]

Differentiating P with respect to V:

P′=(0.015)(3)[tex]V^{2}[/tex]

At V = 5.9 mph, then

P′=(0.015)(3)[tex]5.9^{2}[/tex] = 1.6 W/mph

Hence, the instantaneous rate of change of power is 1.6 W/mph.

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The length is 7.25 feet

Here the detail

The formula for rectangled-shaped area is multiply length and width

Area = Length x Width

In this case, we know that the area is 36.25 ft2 and the width is 5 feet

so we can divided the area and the width to solve the length

Area = Length x Width

36.25 = Length x 5

Length = 36.25 : 5

Length = 7.25 feet

Hence the length of the rectangular floor is 7.25 feet

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The present value​ the amount that should be invested now to accumulate is $7662.24.

Compound interest is the adding of interest to the principal amount of a loan or deposit, or interest on interest + principal. It is the outcome of reinvesting interest, or adding it to lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accumulated interest in the next month. In finance and economics, compound interest is common.

Compound interest differs from simple interest in that previously collected interest is not added to the current period's main amount, resulting in no compounding. The simple annual interest rate is calculated by multiplying the interest amount per period by the number of periods in a year.

Given,

Principle P=$6800

T=3 years

And also given that the money is compounded quarterly.

Present value=P[tex](1+(R/4)^{4t}[/tex]

=6800[tex](1+(4/400)^{12}[/tex])

=6800[tex](1+(1/100))^{12}[/tex]

=6800[tex](101/100)^{12}[/tex]

=6800[tex](1.01)^{12}[/tex]

=6800×1.1268

=$7662.24

The present value​ the amount that should be invested now to accumulate is $7662.24

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Answer:

22

Step-by-step explanation:

12 + 19 + 7 + _?_ = 15

38 + _?_ = 15

-38             -38

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

? = 23

12 + 19 + 7 + 23 = 61

                    -1

12 + 19 + 7 + 22 = 60

60 ÷ 4 = 15

I hope this helps!

The slope is 2/6 because the rise is 2 while the run is 6

rise             2

-------    =    -------

run              6

The expression for the total shaded area is in terms of x is

Area = (x + 5)(x - 3)

The top side of the diagram shows that the dimension for the shaded area has length = x + 5

The width of the shaded area is x - 3

Area of a rectangle is given by the formula

Area = Length * width

Area = (x + 5) * (x - 3)

Area = x² - 3x + 5x - 15

Area =  x²+ 2x - 15

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The dimensions of the rectangle for the most economical fence are length, L = 50 feet and width, W = 25 feet

Given: Area =  1250 square feet, , cost of material along three sides = $6 per foot, cost of material for fourth sides = $18 per foot

In order to calculate the dimension of the fence

Let L and W represent the length and width of the fence respectively

Thus, the area of the fence can be represented as:

A = L × W = 1250  ---- (1)

L = 1250/W

Let the total cost to construct the fence be 'C' can be obtained if we construct the shorter side with material with a cost of $18 per foot

C = 6×(2W + L) + 18×L

C = 12W + 24L  ---- (2)

Substituting the value of L from equation 1 into equation 2 we have:

C = 12W + 24×(1250/W)

To minimize the cost we differentiate both sides with respect to W and equate the result to zero:

C = 12W + 24×(1250/W)

dC/dW = d/dW (12W + 30000/W)

0 = 12 - 30000/W²

12W² = 30000

W² = 2500

W = 50 feet

Since L = 1250/W

L = 1250/50

L = 25 feet

Therefore, the dimensions of the rectangle are length of 25 feet and width of 50 feet

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Answer:

slope intercept form:

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

m = 5/4

x = 2   from the point (2,-1)

y = -1   from the point (2,-1)

y = mx + b

-1 = [tex]\frac{5}{4}[/tex] ([tex]\frac{2}{1}[/tex]) + b

-1 = [tex]\frac{10}{4}[/tex] + b

-1 = [tex]\frac{5}{2}[/tex] + b   Subtract [tex]\frac{5}{2}[/tex] from both sides

[tex]\frac{-2}{2}[/tex] -+ [tex]\frac{-5}{2}[/tex] = b

[tex]\frac{-7}{2}[/tex] = b

y = mx + b

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Answer:

if you need the equation: y + 1 = [tex]\frac{5}{4}[/tex] (x-2) or y + 1 = [tex]\frac{5}{4}[/tex] x  [tex]-\frac{5}{2}[/tex]

the answer: y = [tex]\frac{5}{4}[/tex] x [tex]-\frac{7}{2}[/tex]  

Step-by-step explanation:

Kind of explanatory you have a slope and a point, your formula is going to be y-y₁ = m(x-x₁)

Answer:x=6

y=7

Step-by-step explanation:

x=5y-29

2(5y-29)-3y=-9

7y=49

y=7

x=5(7)-29

x=6

The x-intercept is (5,0)

The y-intercept is (0,10)

What is intercept ?

A y-intercept, also known as a vertical intercept, is the point where the graph of a function or relation intersects the y-axis of the coordinate system in analytical geometry, using the widely used convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, x = 0 is satisfied at these sites.

A line's x-intercept and y-intercept are the points at which the x- and y-axes cross, respectively.

To find x-intercept we put y = 0 to the equation

4x + 2y = 20

4x = 20

x = 5

To find y-intercept we put x = 0 to the equation

4x + 2y = 20

2y = 20

y = 10

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Step-by-step explanation:

The distance from zero that a number is on the number line without considering Direction

Answer:

[tex]\frac{13}{30}[/tex]

Step-by-step explanation:

Answer:

0.3756

Step-by-step explanation:

I believe this is a combinatorics probability problem.

We first figure out in how many ways we can choose 3 cats out of 14 cats

Then we figure out how many ways we can choose 2 dogs out of 7 dogs

The total number of ways to select 3 cats and 2 dogs will be the product of these two

We then figure out in how many ways we can select 5 animals out of a total of 21 animals

The product we computed divided by the above number will give the probability

The number of ways we can choose k items out of n items is given by nCk i.e n Choose k

The formula is rather complicated but almost all calculators should be able to compute this given n and k

Let's deal with the selection of 3 cats from the population of 14 cats

This is given by 14C₃ which works out to 364

Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21

Number of ways of selecting 5 animals from 21 = 21C₅ = 20349

The probability of selecting 3 cats and 2 dogs is therefore:

[tex]\dfrac{364 \times 21}{20349} = 0.3756[/tex]

That, I believe is the answer. Please let me know if it is correct and if you need more info.

Sydney has biked `35` miles.

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

24 units is the area of the shaded region if the "frame" is 2 units wide.

The area of Rectangle is length times of width

We know that the frame is 2 units wide, and the measure of the rectangle and the frame are:

width = 7 units

length = 12 units

Now, if we remove the frame, we will remove 2×2 units = 4 units for each measure (because for each measure we have the frame in both sides).

So the measures for the shaded rectangle are:

width = 7 units - 4 units = 3 units

length = 12 units - 4 units = 8 units.

And the area of a rectangle is given by the product between the width and length, then we have:

A = (3 units)*(8 units) = 24 square units.

Hence, 24 units is the area of the shaded region if the "frame" is 2 units wide.

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Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

There are 12 free throws would he have been expected to make.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

During basketball season josh made 3 out of every 7 free throw attempts in the last game.

Now,

Since, During basketball season josh made 3 out of every 7 free throw attempts in the last game.

Hence, Let number of free throws would he have been expected to make for attempted 28 free throws = x

So, We can formulate;

⇒ 3/7 = x/28

Solve for x as;

⇒ 3 × 28 / 7 = x

⇒ x = 3 × 4

⇒ x = 12

Thus, There are 12 free throws would he have been expected to make.

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Answer: tuna sandwich

Step-by-step explanation: 2+5=7

As several differences are there between them and is differentiated below.

A list of numbers in a specific order is called a sequence. The terms of the sequence are the various numbers that appear in it.

Let a sequence's terms be a1, a2, a3,..., an,..., etc.

The term's position is indicated by the subscripts. That implies,

Initial phrase = a1

term two = a2

term three Equals a3

….

The nth term, indicated by an, is the number that appears in the sequence at the nth place. This phrase is also known as the sequence's general phrase.

Geometric Sequence:

Arithmetic Sequence:

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The price Jason paid per gallon of gas on this fill-up is $0.03 per gallon

Based on the given task content; this can be solved using the division method.

Total 35 miles in Jason's odometer = Total miles / 35

= 43,156.1 / 35

= 1233.031428571428

Approximately,

1,233.03 of 35 miles per gallon

Amount Jason paid per gallon of gas on this fill-up = 1,233.03 / $34.24

= 0.027768991833126

Approximately,

$0.03 per gallon

In conclusion, the amount Jason paid per gallon of gas is $0.03 per gallon

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The cost of each chair is $2.25.

The cost of each table is $8.25.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 4 = 5 is an equation.

We have,

Cost of each chair = x

Cost of each table = y

Now,

2x + 6y = 54 _____(1)

5x + 3y = 36 ______(2)

From (1) we get,

2x = 54 - 6y

x = (54 - 6y)/2 ______(3)

Now,

Putting (3) in (2) we get,

5(54 - 6y)/2 + 3y = 36

270/2 - 30y/2 + 3y = 36

135 - 15y + 3y = 36

99 = 12y

y = 99/12

y = 8.25 ______(4)

Now,

Putting 4 in (3) we get,

x = (54 - 6 x 8.25) / 2

x = 4.5/2

x = 2.25

Thus,

The cost of each chair is $2.25.

The cost of each table is $8.25.

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