Mai rented a truck for one day. There was a base fee of $13.25, and there was an additional charge of 5 cents for each mile driven. The total cost, (in
dollars), for driving x miles is given by the following function
C(x) 0.05x + 13.25
What is the total rental cost if Mal drove 20 miles?

Answer:

7)c

8)d

9)b

10)a

Step-by-step explanation:

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Noor bought 21 sheets of stickers

She gave 1/3 sheets to each 45 students

She wants to give teachers 1/2 of sheets

The question should be: how many teachers will she give

Total sheets=21

Students gets= 1/3 × 45

=45/3

=15 sheets

Remaining sheet= total sheets - students sheets

=21-15

=6 sheets

There are 6 sheets remaining for teachers

She wants to give 1/2 to each teacher

Then,

The number of teachers that will get =Remaining sheets ÷ each teacher's share

=6 ÷1/2

=6 × 2/1

=12 teachers

12 teachers will get 1/2 sheets each

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Answer:

0.02 is different from 0.002 because 0.02 is greater than 0.002

0.02 and 0.002 are the same because they are both decimal numbers

Step-by-step explanation:

0.02 = 2 / 100

0.002 = 2 / 1000

0.02 < 0.002

0.02 is different from 0.002 because 0.02 is greater than 0.002

0.02 can also be written as 2 × 10^2

0.002 can also be written as 2 × 10^3

0.02 and 0.002 are the same because they are both decimal numbers

-256.

how? 8 times 8 times 8 is 512.

512/2 is 256. But two negatives make a positive. So, it's -256.

Answer: (14.5cm, 15.4cm)

Step-by-step explanation:

We have a measure of 15cm.

This may be a rounded up or rounded down number.

Now, when we want to round at a given digit, we need to see to the previous digit.

If the previous digit is larger than 5, then we round up.

If the previous digit is 5 or smaller, then we round down.

Then, the largest number such that we rounded down to 15cm, is:

15.4cm

The smallest number such that we rounded up to 15cm is:

14.5cm

Then the range of possible values is:

Answer:

Vertical translation of 4 units.

Step-by-step explanation:

If you add 4 to y, you would move up 4 because the y axis is vertical.

Solution:

we have given the length of the rectangular card-

[tex]x + 5 \: cm[/tex]

and, width-

[tex]7 \: cm[/tex]

now, the area of the card will be- length×width.

so, we have-

[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]

we also have given the length of ribbon-

[tex]7 \: cm[/tex]

and, width-

[tex]y \: cm[/tex]

so, area of the ribbon is-

length×width

[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]

now the area of shaded gray region will be-

[tex]7x + 35 - 7y[/tex]

Hence, the required expression would the above expression.

Given that :-

To Find :-

Solution :-

The fist expression x + y < 5 states that sum of x and y could be any rational number less than 5 .

And the second expression 3 < x < 5 states that value of x could be any rational number between 3 and 5.

Let's check which option suits best.

Is it possible to have value of 8/3 by y ?

→ x + 8/3 < 5

→ x < 5 - 8/3

→ x = 7/3

7/3 is a rational number . So y as 8/3 is possible value.

→ 7/3 = 2.33

But value of x should be greater than 3 .

So option A is wrong.

Is it possible to have value 2 by y ?

→ x +2 < 5

→ x < 5-2

→ x < 3 .

But value of X should be greater than 3.

So option B is also incorrect.

Is it possible to have value 0 by y?

→ x +0 <5

→ x < 5

It also fullfill 2nd expression that X should have value less than 5 and greater than 3.

So option C is valid .

Value of y is 0 .

Answer:

1 / (x^12)

Step-by-step explanation:

x^-4 = 1/x^4

1 / (x^4)(x^8) = 1/ (x^12)

Answer:

ok so he makes 7.25 per hour and he waste 2.29 he is wasting the  31.5% of the salari

Step-by-step explanation:

you have to multiply 2.29 by 100 and divide it into the 7.25

2.29 X 100=229/7.25=31.5

Answer:

[tex]\huge\boxed{2}[/tex]

Step-by-step explanation:

Given Polynomial is:

[tex]3x^2 + 6x = 0[/tex]

Degree of polynomial is the highest power on the variable.

Here 2 is the highest power on the variable, So, it is the degree of polynomial.

Answer:

14.5

Step-by-step explanation:

You would plug 5 into the equation for m and have w = 1.5 (5) + 7

Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5

The weight of the baby in pounds at 5 months of age is 14.5 pounds.

Given,

The weight in pounds of a baby in the first six months of life can be modeled by the function:

w = 1.5m +7, where x is the age of the baby in months.

According to this model, we need to find what is the weight, in pounds, of a baby at 5 months of age.

A function has an input and an output.

Example:

f(x) = x + 1

x = 1, f(1) = 1 + 1 = 2

Here,

x = 1 is the input and 2 is the output.

We have,

Function:

w = 1.5m + 7

We can consider that m = number of months.

This is why the question says this model can be used to find the weight of the baby in the first six months by putting m = 6.

w = 1.5m + 7

Here,

7 = the weight of the baby at birth

1.5m = baby weight increases by 1.5 per month.

Now,

The weight in pounds of the baby at 5 months of age is:

m = 5 months

w = 1.5 m + 7

w = 1.5 x 5 + 7

w = 7.5 + 7

w = 14.5 pounds.

Thus the weight of the baby in pounds at 5 months of age is 14.5 pounds.

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Answer: 29

Step-by-step explanation:

Given : Total people in the line = 35

Number of people behind Amy = 15

⇒Number of people in front of Amy   = Total people - (Amy and people behind Amy)

= 35-15-1

= 19

According to the question,

Number of people in front of Amy + Number of people behind Jed =24

⇒ 19 +  Number of people behind Jed =24

⇒  Number of people behind Jed =24 -19 = 5

Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)

= 35-(5+1)

= 35-6=29

Hence, there are 29 people are in front of Jed.

Answer:

B. (1/2)(2h-8)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height = h

Base = 8 inches less than 2 times wider than the hight

= 2h-8

Substituting the values of base and height into the formula

We have,

Area of a triangle = 1/2 × base × height

= 1/2 × (2h-8) × h

= (1/2)(2h-8)(h)

The correct answer is option

B. (1/2)(2h-8)(h)

Answer:

2 and 1

Step-by-step explanation:

1 + 2 = 3

(1*1) + (2*2) = 5

Answer:

2 and 1

Step-by-step explanation:

just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1

now simpliy take the square of 1 and 2

1+4=5

Answer:

or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.

Step-by-step explanation:

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = [tex]2 \times width[/tex]

Base area = lb

= [tex]2x^2[/tex]

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

[tex]h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}[/tex]

Now, cost is

[tex]= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}[/tex]

now we have to minimize C(x)

So, we need to compute the C'(x)

[tex]= 52x - \frac{648}{x^2}[/tex]

C"(x)  [tex]= 52x - \frac{1,296}{x^3}[/tex]

now for the critical points, we will solve the equation C'(x) = 0

[tex]= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}[/tex]

[tex]C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0[/tex]

So, x is a point of minima that is

= [tex](\frac{648}{52} )^\frac{1}{3}[/tex]

Now, Base material cost is

[tex]= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}[/tex]

= 139.75

Side material cost is

[tex]= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }[/tex]

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

The cost of the side material is $279.50, the cost of the base material is $139.75 and the total cost is $419.25 and this can be determined by using the arithmetic operations.

Given :

Let the width of the rectangular storage container be 'x' then according to the given data the length is '2x' and let the height of the container be 'h'.

The base area of the rectangular storage container is given by:

Base Area = [tex]2x^2[/tex]   ----- (1)

The side area of the rectangular storage container is given by:

Side Area = 2(2x)h + 2xh

                 = 6xh    ---- (2)

Now, the volume of the rectangular storage container is given by:

Volume = lbh

Put the values of known terms in the above equation.

24 = [tex]2x^2h[/tex]

[tex]h = \dfrac{12}{x^2}[/tex]

Now, the cost is given by:

[tex]\rm C(x)=13(2x^2)+9(6xh)[/tex]

[tex]\rm C(x)= 26x^2 + \dfrac{648}{x}[/tex]

Now, to minimize C(x) differentiate the C(x) with respect to x.

[tex]\rm C'(x)=52x -\dfrac{648}{x^2}[/tex]   ---- (3)

Now, equate the above equation to zero.

[tex]0 = 52x =\dfrac{648}{x^2}[/tex]

[tex]x = \sqrt[3]{\dfrac{648}{52}}[/tex]

Now, differentiate equation (3) with respect to x.

[tex]\rm C"(x) = 52+\dfrac{1296}{x^3}[/tex]

Now, put the value of x in the above equation.

[tex]\rm C"(x) = 52+\dfrac{1296}{\dfrac{648}{52}}[/tex]

[tex]\rm C"(x) = 52+104[/tex]

[tex]\rm C"(x) = 156 > 0[/tex]

Therefore, 'x' is the point of minima.

Now, the cost of the base material is:

[tex]= 13\times 2 \times (\dfrac{648}{52})^\frac{2}{3}[/tex]

= $139.75

Now, the cost of the side material is:

[tex]=\dfrac{648}{\sqrt[3]{\dfrac{648}{52}} }[/tex]

= $279.50

Therefore, the total cost is given by:

= 139.75 + 279.50

= $419.25

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96

Answer:

The temperature at 10 pm was -1 degrees and the arrows helped you understand when the temperature increased and decreased.

Step-by-step explanation:

At 8 am, we know that the temperature is -3 degrees, or 3 degrees below zero. By 1 pm, the temperature has risen by 14 degrees and is now 11 degrees. We know this because -3+14=11. Now by 10 pm, the temperature has dropped 12 degrees which means that it's -1 degrees. (11-12=-1) The plot points would be all of the temperatures, or -3, 11, and -1. The arrows you need to draw are from -3 to 11 (an increase) and from 11 to -1 (a decrease). Drawing the arrows this way represents the temperature at different times and how it changed over time.

Answer:

X=2

Step-by-step explanation:

let say x is the variable that we want to found .

x + 4 =6 1/2

X + 4 = 6

X= 2

The number is [tex]2\frac{1}{2}[/tex].

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given that, the sum of a number and 4 is [tex]6\frac{1}{2}[/tex]

Let the number be x

x + 4 = [tex]6\frac{1}{2}[/tex]

 x [tex]x= 6\frac{1}{2} - 4\\= 2\frac{1}{2}[/tex]

Hence,  the number is [tex]2\frac{1}{2}[/tex].

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Answer:

Step-by-step explanation:

Graph a line given a point and a slope

Plot the given point.

Use the slope formula to identify the rise and the run.

Starting at the given point, count out the rise and run to mark the second point.

Connect the points with a line.

The area of the shaded region is [tex]47.5cm^2[/tex].

The area of the shaded region is the area of the whole region minus the area of the unshaded region.

The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.

Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.

The area of the rectangle will be [tex]A_{1}=base\times height[/tex] where the base = 11 cm and height = 5cm.

Then we will get

[tex]A_{1}=11\times5\\A_{1}=55cm^2[/tex]

Now the area of the triangle is [tex]A_{2}=\dfrac{base\times height}{2}[/tex] where the base = 5cm and the height = 3cm.

Then we will get

[tex]A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5[/tex]

Then the area of the shaded region will be [tex]55-7.5=47.5cm^2[/tex].

So, the area of the shaded region is [tex]47.5cm^2[/tex]

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Answer:

y=0

Step-by-step explanation:

branliest

Answer:

2. Y=O

Step-by-step explanation:

I really don't have a good explanation but that's it

Answer:

1,000,000= 10^6

10 times 10 is 100 (10^2)

10,000 times 10 is 100,000 (10^5)

Answer:

The correct option is;

A. Randomized block design

Step-by-step explanation:

A randomized block design is one where the sample or subjects of the experiment are split into groups called blocks of experimental units where the variation in each block is lower than the variation among or between blocks, such that variation is controlled. In a random order, the treatments are performed on each experimental of the blocks.

In the question, the experimental units are grouped by gender and the treatment (consumption of chocolate or placebo) is randomly administered to the experimental units.

Answer:

[tex]Distance = 58\ feet[/tex]

Step-by-step explanation:

Represent the lure's difference with A and B;

[tex]A = 23\ feet[/tex]

[tex]B = 81\ feet[/tex]

Required

Determine the difference in depth between the lure's depth

The distance is calculated as follows;

[tex]Distance = B - A[/tex]

Substitute 23 feet for A and 81 feet for B

[tex]Distance = 81\ feet - 23\ feet[/tex]

[tex]Distance = 58\ feet[/tex]

Hence, the distance between both lure's is 58 feet

Answer:

step 2

Step-by-step explanation:

theres a one in front of the () meaning it should have look like this

4+4x+2

Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.

================================================

Work Shown:

[tex]a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2[/tex]

After subtracting 7 from both sides.

Note how because we have an infinite sequence of nested radicals, we can let [tex]x = \sqrt{g+\sqrt{g+...}}[/tex] which means x is equal to 2 as well.

This lets us say

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x[/tex]

Solve the equation [tex]\sqrt{g+x}= x[/tex] for x to get

[tex]\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}[/tex]

Since x is positive, this means we only focus on the first equation in the last line above.

Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.

[tex]x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\[/tex]

As a check, we can do the following

[tex]7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\[/tex]

we're slowly approaching 9

Answer: [tex]g = \boxed{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2[/tex]

implies that

[tex]\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2[/tex].

Squaring both sides of this new equality, we have [tex]g + 2 = 4 \implies g = \boxed{2}[/tex]

I hope this helps! :)

5 is a rational number!

Pls mark as BRAINLIEST

5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

6 hours

Step-by-step explanation:

Subtract 553 from 265 to find the price without parts, we get 288

then divide 288 by 48. We get 6

This means 6 there was 6 hours of labor