A rental car company charge $63. 25 per day to rent a car and $0. 07 for every mile driven. Ella want to rent a car, knowing that: She plan to drive 50 mile. She ha at mot $130 to pend

If a mixed fraction, 6(3/4) is divided by another fraction 1(2/3), then the quotient will be 4.05.

As per the question statement, a mixed fraction, 6(3/4) is divided by another fraction 1(2/3),

And we are required to calculate the quotient of the above mentioned division.

To solve this question, we will first convert the mixed fractions, into improper fractions, and then use the reciprocal rule to obtain our desired answer, that is,

[{6(3/4)}/1(2/3)]

= [{(4 * 6) + 3}/4]/[{(3 * 1) + 2}/3]

= [{(24 + 3)/4}/{(3 + 2)/3}]

= [(27/4)/(5/3)]

= [(27/4) * (3/5)]

= [(27 * 3)/(4 * 5)]

= (81/20)

= 4.05

Hence, when a mixed fraction, 6(3/4) is divided by another fraction 1(2/3), then the quotient will be 4.05

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Answer:

it is 67ft^3

Step-by-step explanation:

5 times 5 times 5 is 67

Answer:

76.93

Step-by-step explanation:

As the area of circle is πr^2

The area of semi-circle is

1÷2×πr^2

0.5×3.14×7×7

76.93

Camel can drink 21 gallons of water in 14 minutes.

Given in question,

Gallons of water camel can drink in 10 minutes = 15

 Gallons of water camel can drink in 1 minutes = 15/10

                                                                              = 1.5

Gallons of water camel can drink in 14 minutes = 1.5 * 14

                                                                              = 21

Hence, camel can drink 21 gallons of water in 14 minutes.

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The value of [m] will be 2.

Given is the median of the ordered set of observations 2, 3, (4m-3), (3m + 1), 11 and 13 in ascending order is 6.

We have the following data as -

2, 3, (4m-3), (3m + 1), 11, 13

N = 6

So median will be -

{(4m - 3) + (3m + 1)}/2 = 6

(4m - 3) + (3m + 1) = 12

4m + 3m - 3 + 1 = 12

7m - 2 = 12

m = 2

Therefore, the value of [m] will be 2.

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Answer 2

Step-by-step explanation and no not writing out how to do it.

Answer:

[tex]u+ka=ba\\u=ba-ka\\u=(b-k)a\\a=\frac{u}{b-k}[/tex]

Answer:

The perimeter of [tex]\triangle[/tex][tex]PQR[/tex] is [tex]16[/tex] feet

Step-by-step explanation:

The perimeter of [tex]\triangle PQR[/tex] can be calculated as follows

Since [tex]\overline{PQ} \cong \overline{PR}[/tex] , then the length of [tex]PQ[/tex] is equal to the length of [tex]PR[/tex]

[tex]PQ = PR = 5~\text{feet}[/tex]

Since the angle [tex]\angle PSR[/tex] is [tex]90^{\circ}[/tex], then [tex]\triangle PSR[/tex] is a right triangle

Since [tex]\triangle PSR[/tex] is a right triangle, then the length of [tex]RS[/tex] can be calculated by the Pythagorean theorem as follows

[tex]c^{2}=a^{2}+b^{2}[/tex]

Where [tex]c[/tex] is the hypotenuse or the side [tex]PR[/tex], [tex]a[/tex] is the side [tex]RS[/tex], and [tex]b[/tex] is the side [tex]PS[/tex]

Substitute [tex]5[/tex] for [tex]PR[/tex], [tex]4[/tex] for [tex]PS[/tex] into the Pythagorean theorem

[tex]5^{2}=a^{2}+4^{2}[/tex]

Simplify the equation

[tex]25=a^{2}+16[/tex]

Move [tex]16[/tex] from the right side to the left side and change its sign to negative

[tex]25-16=a^{2}[/tex]

Simplify the equation

[tex]9 = a^{2}[/tex]

Find the value of [tex]a[/tex] by taking square root of both sides of the equation

[tex]\sqrt{9}=\sqrt{a^{2}}[/tex]

[tex]3 = a[/tex]

As a matter of fact the square root of [tex]9[/tex] are [tex]3[/tex] and [tex]-3[/tex], but disregard the negative value since the length value is never negative

Since the value of [tex]a[/tex] is [tex]3[/tex], then the length of [tex]RS[/tex] is [tex]3[/tex] feet

Since the angle [tex]\angle PSR[/tex] is [tex]90^{\circ}[/tex], then angle [tex]\angle PSQ[/tex] is also [tex]90^{\circ}[/tex] or

[tex]\angle PSQ = \text{straight angle}-90^{\circ}[/tex]

[tex]\angle PSQ = 180^{\circ}-90^{\circ}=90^{\circ}[/tex]

Since [tex]\overline{PQ} \cong \overline{PR}[/tex]  and [tex]\angle PSQ = \angle PSR[/tex], then [tex]\triangle PSR \cong \triangle PSQ[/tex]

Since [tex]\triangle PSR \cong \triangle PSQ[/tex], then the length of [tex]RS[/tex] is equal to the length of [tex]QS[/tex]

[tex]RS=QS=3~\text{feet}[/tex]

The perimeter of [tex]\triangle PQR[/tex] is the sum of the length of the following sides

[tex]\text{the perimeter of} ~\triangle PQR= PQ+QS+RS+PR[/tex]

Substitute [tex]5[/tex] for [tex]PQ[/tex], [tex]3[/tex] for [tex]QS[/tex], [tex]3[/tex] for [tex]RS[/tex], [tex]5[/tex] for [tex]PR[/tex] in the expression of the perimeter

[tex]\text{the perimeter of} ~\triangle PQR= 5+3+3+5[/tex]

Simplify the equation

[tex]\text{the perimeter of} ~\triangle PQR=16~\text{feet}[/tex]

Hence the perimeter of [tex]\triangle{PQR}[/tex] is [tex]16~\text{feet}[/tex]

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Answer:

Step-by-step explanation:

D

Step-by-step explanation:

your welcome hope this helps

Yes, the points are the vertices of a right triangle and we will prove that by using the Pythagorean theorem.

Remember that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)² + (b - d)²)

The distance between (-4, 8) and (8, 8) is:

d₁ = √( (-4 - 8)² + (8- 8)²) = 12

The distance between (8, 8) and (-4, 3) is:

d₂ = √( (8 + 4)² + (8- 3)²) = 13

The distance between (-4, 8) and (-4, 3) is:

d₃ = = √( (-4 + 4)² + (8 - 3)²) = 5

if the Pythagorean theorem is true, then the sum of the squares of the two shorter sides must be equal to the square of the larger side, then we must have that:

5² + 12² = 13²

Solving that we get:

25 + 144 = 169

169 = 169

This is true, so yes, the vertices are the vertices of a right triangle.

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Answer:

y = 5x + 2

Step-by-step explanation:

slope is 5

x = 1

y = 7  

Use this to find b for the new equation

y = mx + b

7 = (5)(1) + b

7 = 5 + b   Subtract 5 from both sides

2 = b

y = mx + b

y = 5x + 2

Answer:

2334

Step-by-step explanation:

Answer:

196 cm

Step-by-step explanation:

Perimeter of rectangle=2(L+W)

P=370 cm

W=87 cm

L=?

P=2(L+W)

370 cm=2(L+87 cm)

370 cm=2L+174 cm

379 cm - 174 cm=2L

2L=196

2/2L=196/2

L=98 cm

Answer:

  443,232,000 lb

Step-by-step explanation:

You want the weight in pounds of a pyramid 180 yd square and 90 yd high made of material weighing 456 lb/cubic yard.

The volume of the pyramid is given by the formula ...

  V = 1/3s²h . . . . . . . . where s is the side length and h is the height

  V = 1/3(180 yd)²(90 yd) = 972000 yd³

At a weight of 456 pounds per cubic yard, the weight of the pyramid is estimated to be ...

  (456 lb/yd³)×(972,000 yd³) = 443,232,000 lb

The pyramid weighs about 443,232,000 pounds.

__

Additional comment

At 456 lb per cubic yard, the stone is less dense than most wood and will float high in water.

The flowrate of decreasing water is 3.98 cm/min after the water reaches 5cm of its height.

We need to know about the flowrate to solve this problem. The rate can be described as how much water flows in a unit of time. It can be represented by this equation

Q = V / t

where Q is flowrate, V is volume and t is time.

From the question above, the given parameters are

Inverted cone with

Q = 50 cm³/min

R = 4 cm

h = 5 cm

Hence, the rate of decreasing water is

Q = V / t

50 = A . h / t

50 = π . R² . h / t

50 = 22/7 . 4 . h / t

h/t = 3.98 cm/min

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The domain of the first function is {-2,0,2,4} and range is {-3,-1,0} and the domain of second function is {-3,-1,0,3,3} and the range is {-1,0,1,2,3}.

The domain of a function is the set of values that we are allowed to plug into function. This set is the x- values in a function. The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x-value in.

The domain is the x- value of the function and as we can see the mapping on the top left is assigned as x, hence the value of x is {-2,0,2,4} and the range is the y value of the function, as assigned {-3,-1,0}.

In the graph below, the domain is {-3,-1,0,3,3} as it is the x- values and the range is y value of the point given as {-1,0,1,2,3}.

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Answer:

1.786

Step-by-step explanation:

[tex]\frac{3}{4} +\frac{1}{6} =\frac{18}{24} +\frac{4}{24} =\frac{22}{24}[/tex]

but 22/24 can be reduced to:

[tex]\frac{22}{24} =\frac{11}{12}[/tex]

Answer:

Step-by-step explanation: 6^4 would be 1296 because its 6 times 6 times 6 times 6. Then 6 times 6 times 6 times 6 times 6 times 6 times 6 times 6 would be 1,679,616. 6 times 6 times 6 would be 216. 1,679,616/216 would be 7776. 1296 times 7776 is 10,077,696.

Hoped This Helped!

The perimeter of the rectangular wooden deck, given the measurement of the deck and the addition, can be found to be 18. 8 meters

The perimeter of a rectangular figure can be found by the formula:

= Length + Length + Width + Width

The length was increased by 2. 5 meters and so the new length is:

= 4. 6 + 2. 5

= 7. 1 meters

The new perimeter is therefore:

= 7. 1 + 7. 1 + 2. 3 + 2. 3

= 14. 2 + 4. 6

= 18. 8 meters

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The last option is correct.

The statistics student can be 99% confident that the interval from 0.526 to 0.704 captures the true proportion of all students at this school who are actively involved in a political party.

What is political party?

A political party is a group that arranges candidates to run in elections in a certain nation. It is typical for party members to share similar political viewpoints, and parties may support particular ideologies or policy objectives.

Given: A statistics student from a large high school takes a random sample of 200 students and finds that 123 are actively involved in a political party.

A 99% confidence interval for the proportion of students at this school who are actively involved in a political party is (0.526, 0.704).

Hence, the  statistics student can be 99% confident that the interval from 0.526 to 0.704 captures the true proportion of all students at this school who are actively involved in a political party.

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This is an incomplete question and the complete question is in the image attached.

Both circles A and F have the same radius and diameter.

What is the center of the circle?

It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the center of the circle.

Given:

We have,

Two circles are named A and F.

The radius of circle A is 4cm

So, the diameter of Circle A is 4 x2 = 8 cm

The Diameter of Circle F is 8 cm

Hence, Both circles A and F have the same radius and diameter.

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Answer:

y-intercept b = 2

Step-by-step explanation:

y-intercept is the point where the line intersects the y-axis.so, at y-intercept the x-coordinate is 0.

    In this graph the line intersects the y-axis at (0,2).

So, y -intercept b = 2

The mark-up, as a percentage = 125%

What is Markup?

The term "markup" describes the discrepancy between a product's selling price and its actual cost. It is specified as a percentage over the price. In other words, the seller makes a profit when the price of the commodity.

A unit's gross profit, which is the sales price less the cost to create or buy it for resale, is divided by its cost to determine the markup %. The markup percentage is computed as (12 - 8) / 8 and is equal to 50% if an item costs the business $8 to produce but is sold for $12.

Markup percentage=[(selling price - unit cost)/unit cost]*100

Markup percentage= [(900-400)/400]*100=1.25*100

                                = 125%

So, the mark-up, as a percentage = 125%

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The length of PR and QS will be 20 units. And the area of the rectangle will be 173.21 square units.

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The length of PT is 10 and the angle ∠TPS is 60°.

The length of PR is given as,

PR = PT + TR

PR = 10 + 10

PR = 20

And the length of QS is given as,

QS = QT + TS

QS = 10 + 10

QS = 20

The area of the rectangle is given as,

A = Area of triangle ΔPQR + Area of triangle ΔPSR

A = 2 [(1/2) x (20 cos 60°) x (20 sin 60°)

A = 173.21 square units

The length of PR and QS will be 20 units. And the area of the rectangle will be 173.21 square units.

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Answer:

[tex]x + ( - 43) = 102 \\ x - 43 = 102 \\ x = 102 + 43 \\ x = 145[/tex]

Step-by-step explanation:

Let the unknown number be represented by x

since sum means addition, we are adding the unknown to -43 and equating it to 102 which is said to be the final answer.

After equating, we find out that we have two symbols and + multiplied by - is always -, giving us an equation as in step 2

after collecting like terms , we get an easy linear equation.

The expected net profit would be $100,000

acc to our question-

Hence,The expected net profit would be $100,000

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The cost of the bench is $325 and the cost of the garden table is $247.

The situation given in the question can be solved by using equation, with two unknown variables, x is the cost of the garden table and y is teh cost of the bench. Considering the garden table is $78 less than the bench. We get the equation for the value of x, then we substitute it in sum equation 1  to get the value of bench.

x+y=$572 ----------------(1)

x=y-$78 ---------------(2)

Substitute equation 2 in 1, we get.

y-$78+y=$572

2y-$78=$572

2y=$572+$78

2y=$650

y=650/2

y=$325

We got the cost of the bench, we substitute this value in equation 2, to get the value of garden table.

x=y-$78

x=$325-$78

x=$247

Hence, the cost of the bench is $325 and garden table is $247.

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