A rental car company charges $48 per day to rent a car and $0.08 for every mile
driven. Bilquis wants to rent a car, knowing that:
. She plans to drive 175 miles.
. She has at most $110 to spend.
Write and solve an inequality which can be used to determine x, the number of days Bilquis can afford to rent while staying within her budget.

Answer:

Yes.

Step-by-step explanation:

Is it possible to find the area of a parallelogram by just multiplying the lengths of two adjacent sides?

It is to find the area of a parallelogram by just multiplying the lengths of two adjacent sides. Let us now find a relation, if any, between the areas of two parallelograms on the same base and between the same parallels.

Answer:

The segment bisector of RS is KM and RS Lenght is 34CM

Step-by-step explanation:

17+17=34

Answer:

Step-by-step explanation:

False inequality, so no solutions.

The missing terms of the given arithmetic sequence AP are 14, 21, 28, 35.

An arithmetic progression (AP) is a sequence with the same distinctions between each successive term.

Now, in response to the question;

The arithmetic sequence.14,..., 28, ............

There are total 4 terms in the series.

Let the initial term is  'a₁' is given as 14.

Let the second term is 'a₂'.

Let the third term be 'a₃' which is given as 28.

Ans, the let the fourth term is represented as 'a₄'.

As, we know that in the AP, the difference of the two consecutive terms is equal and called as common difference.

Thus,

d = a₂ - a₁      ........(equation 1)

d = a₃ - a₂     .......(equation 2)

Thus, equating the two equation;

a₂ - a₁ = a₃ - a₂

Substituting the values;

a₂ - 14 = 28 - a₂

Simplifying the equation;

2a₂ = 28 + 14

2a₂ = 42

a₂ = 21.

Put the obtained value in equation 1 and find d.

d = a₂ - a₁

d = 21 - 14

d = 7

Now, estimate a₄.

a₄ = a₃ + d

a₄ = 28 + 7

a₄ = 35

Therefore, the complete arithmetic sequence is 14, 21, 28, 35.

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Answer:

X = 2

Step-by-step explanation:

4x-2 = 2x+2 multiply the brackets on both sides

4x-2x = 2+2 bring thes x's to one side & the constants to another side

2x = 4 simplify

X = 4÷2 divide

x = 2

The required value of y also gets divided by 7.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of y

let k be the constant of proportion

When a quantity varies directly with other quantity, then we have a relation, y = kx      

Now, find k for, some fixed value of x and y

Further, calculate y when x is divided by 7. In a general case, y will also be divided by 7 as both x and y varies directly.

Hence, the value of y also gets divided by 7.

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The equation that can be written to represent this situation is 15 + 25h = 115.

Let the number of hours be represented by h.

The equation will be:

(3 × 5) + (25 × h) = 115

15+ 25h = 115

It should be noted that 15 represents the cost of jackets

Therefore, the equation that can be written to represent this situation is 15 + 25h = 115.

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The equation that can be written to be present this situation is 115 = 25x + 15

Susie and friends rent 3 life jackets and a boat.

The  life jacket rents for $5.00 each.

The boat rents for $25.00 per hour.

The total cost is $115.

The equation that can be written to be present this situation is as follows:

The equations should be linear.

Therefore,

y = mx + b

where

Therefore, the equations is as follows;

y = 25x + 15

115 = 25x + 15

where

x = number of hours you rent the boat.

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Answer: i believe your answer is 21x=100

Step-by-step explanation: hope this helps

The product in scientific notation of (4.12 × 10^−9)(8.3 × 10^15) is  3.4196 * 10^7

The product expression is given as

(4.12 × 10^−9)(8.3 × 10^15)

Rewrite properly as

(4.12 × 10^−9)(8.3 × 10^15) =  (4.12 × 10^−9) * (8.3 × 10^15)

Evaluate the product of 4.12 and 8.3 in the above expression

So, we have

(4.12 × 10^−9)(8.3 × 10^15) =  34.196 * 10^−9 × 10^15

Evaluate the product of 10^−9 and 10^15 in the above expression

So, we have

(4.12 × 10^−9)(8.3 × 10^15) =  34.196 * 10^6

Rewrite the expression as

(4.12 × 10^−9)(8.3 × 10^15) =  3.4196 * 10^7

Hence, the product in scientific notation of (4.12 × 10^−9)(8.3 × 10^15) is  3.4196 * 10^7

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Answer:

Its B. 3.4196 x 10^7

Step-by-step explanation:

This is correct answer :))

The largest integer of the three even consecutive integers is 24

We have been given that there are 3 even consecutive integers.

Let the first integer be = x

Let the second integer be = (x+2)

Let the third integer be = (x+4)

According to the question, the equation according to the condition given will be

x + 3(x+2) = 38 + 2(x+4)

Solving the equation, the value of x will be

x + 3x + 6 = 38 + 2x + 8

4x + 6 = 46 + 2x

2x = 40

x =20

Hence, the integers are

            first term = x =20

            Second term = x+2 = 20+2 = 22

           Third term = x+4 = 20+4 = 24

Thus the largest integers is 24

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Answer:

Step-by-step explanation:

The length and the width of the rectangle basee on the perimeter will be 2 and 4cm.

How to calculate the value?

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2)

l + 2l = 75

3l = 75

l = 75/3

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, the scale factor =

l = 2 cm

Similarly,

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

The value of the polynomial at the point [tex]x=a[/tex], just replace [tex]x[/tex] with [tex]a[/tex] in the polynomial equation.

Verify the following equation:

[tex]=4x^{2} -7x+5[/tex]

The given solution:

[tex]x=-3[/tex]

[tex]4x^{2} -7x+5[/tex]

Find the equation:

[tex]4x^{2} -7x+5[/tex]

[tex]4(-3x)^{2} -7(-3)+5[/tex]

[tex]=4(9)+21+5[/tex]

[tex]=36+26[/tex]

[tex]=62[/tex]

Therefore,The option E [tex]62[/tex] is the correct answer

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The number of packs of hot dogs bought is 2 packs

The number of packs of hamburgers bought is 4 packs

Let x represent the number of hot dogs bought and y represent the number of hamburgers bought

x + y= 6.........equation 1

2.65x + 6.29y= 30.46.........equation 2

From equation 1

x + y= 6

x= 6 - y

Substitute 6 - y for x in equation 2

2.65(6-y) + 6.29y = 30.46

15.9 - 2.65y  + 6.29y = 30.46

3.64y = 30.46 - 15.9

3.64y= 14.56

y= 14.56/3.64

y= 4

Substitute 4 for y in equation 1

x + y= 6

x + 4= 6

x= 6 - 4

x= 2

Hence 2 packs of hot dogs and 4 packs of hamburgers were bought

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By applying the exponent rule of division, the equivalent expression to  [tex]r^m \div r^n[/tex] is: A. [tex]r^{m - n}[/tex].

Given the expression, [tex]r^m \div r^n[/tex], we can find the expression that is equivalent to it by rewriting the expression as shown below:

r^m ÷ r^n

According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.

We would apply this same rule in this given problem.

Applying the exponents rule of division, we would subtract the powers:

r^m ÷ r^n = r^(m - n)

Therefore, by applying the exponent rule of division, the equivalent expression to  [tex]r^m \div r^n[/tex] is: A. [tex]r^{m - n}[/tex].

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Answer:

yes I need help

Step-by-step explanation:

I don't understand it very well.

Answer:

6

Step-by-step explanation:

Let the amount of cars washed be x

120-12

---------- = x

18

108/18 =x

x=6

Answer:

B

Step-by-step explanation:

-20+-32.5= -52.5

-52.5+ 40= -12.5

Answer: x=60/13

Step-by-step explanation:

The smaller triangle has the same proportions as the bigger triangle.

Hence, 13/12=5/x

13/12=5/x

13 * x/12=5

13x=5*12

13x=60

x=60/13

Answer:

yes

Step-by-step explanation:

there are two sets of parrelell line
i might have spelled it wrong

The parallelogram is ABCD with the sides AD parallel to BC

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the figure be represented as ABCD

Now , the sides AD and BC are parallel to each other

And , from the figure , we can say that the sides AB is parallel to CD

Therefore , the figure ABCD is a parallelogram

And , opposite sides of a parallelogram are parallel

Hence , the figure ABCD is a parallelogram

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A quadrilateral has a perimeter of 12 and all of the side lengths are odd integer then the probability that the quadrilateral is a rhombus is 1/4.

If the midpoints of a rhombus with 12-inch sides are connected, a quadrilateral is created. A square with a 12-inch diagonal would be the quadrilateral that is constructed.

A perimeter is a closed path that encloses, surrounds, or delimits a one-dimensional length, a two-dimensional shape, or both. The circumference of a circle or an ellipse is its perimeter. There are numerous practical uses for calculating the perimeter.

All four side lengths must be added up in order to determine the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to accomplish this task efficiently.

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Using translation concepts, the equation for the translated graph is given by:

g(x) = |x + 2| + 1.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.

From the graph, we have that the parent function was:

Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:

g(x) = |x + 2| + 1.

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The Probability of P(F/E) is 0.5  .

Baye's Theorem helps in finding the conditional probability probability of an event A given that event B has already occurred.

For Example : The probability of event A given that event B has already occurred is denoted by P(A/B) and is calculated by

[tex]P(A/B)=\frac{P(A.and.B) }{P(B)}[/tex]

It is given in the question that

P(E and F)=0.1      and  

P(E)=0.2

Using Baye's Theorem ,we get

[tex]P(F/E)=\frac{P(F .and .E)}{P(E)}[/tex]

Substituting the values ,we get

[tex]P(F/E)=\frac{0.1}{0.2}\\ \\ =\frac{1}{2} \\ \\ =0.5[/tex]

Therefore , the probability of P(F/E) is 0.5  .

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Answer:

x+3=3+x

x+3=x+3

Step-by-step explanation:

The answer in ascending order is -8/5, -0.7, 1.⁻3, [tex]\pi[/tex], [tex]\sqrt{13}[/tex]

What is ascending order?

Ascending order refers to the arrangement of numbers in ascending order, from least to greatest. We must first compare numbers before we may arrange them in any order. Count how many digits are in each number. The number with the fewest digits is the smallest.

The numbers arranged in ascending order are

-8/5, -0.7, 1.⁻3, [tex]\pi[/tex], [tex]\sqrt{13}[/tex]

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The ratio of quarts of punch to cans of frozen orange is 3/2 with maintaining the ratio to make 4 quarts of a punch we need 2 2/3 cans of frozen orange.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Given that,

2 cans of frozen oranges are used to make 3 quarts of punch.

So,

quarts of punch/cans of frozen oranges = 3/2

Now with the same ratio if we use 4 quarts of punch

Then,

3/2 = 4/ cans of frozen orange

Cans of frozen orange = 4(2/3)

⇒ 8/3 = 2 2/3.

Hence " To make 4 quarts of a punch we need 2 2/3 cans of frozen orange".

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The sum of the first 10 terms of the arithmetic series x+(x+y)+(x+2 y)+ . . . . . is S(10) = 10x+45y

The given arithmetic series:

     x+(x+y)+(x+2 y)+ . . . . .

Notice that:

a(1) = x

a(2) = x+y

a(3) = x+2y

We can find the common difference:

d = a(2) - a(1)

  = (x+y) - x = y

Recall the formula for the nth term of an arithmetic series:

a(n) = a(1) + (n - 1) . d

Substitute n = 10, a(1) = x, and d = y into the formula:

a(10) = x + (10 - 1)y

a(10) = x+9y

Use the sum formula:

S(n) = n/2 [a(1) + a(n)]

S(10) = 10/2 [x + (x+9y)]

S(10) = 5 .(2x+9y)

S(10) = 10x+45y

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   The function g(x) is a quadratic function:

 Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.

 This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:

  1 : linear

  2 : quadratic

  The function:

g(x) = -2x² - 3(x- 2).

g(x) = -2x² - 3x + 6 , we have a quadratic function.

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