Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?

Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

9514 1404 393

Answer:

  x = 5°

Step-by-step explanation:

The marked angles are "alternate exterior angles," hence congruent.

  2x +90° = x +95°

  x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides

Ths electric bill is $325

The class width of each class is 17.

Class width is the distance between a class's upper and lower bounds (category). It may also refer to one of the following more precisely, depending on the author:

the difference between the upper and lower limits of two (nearby) consecutive classes, or the lowest and higher limits of two classes.

The width of each class in a frequency distribution table must be the same. Due to the fact that you are only working with a single width, this makes calculating the class width relatively simple (as opposed to varying ones).

To find the class width in this, we subtract the lower limits of two consecutive class. i.e.

47 - 30 = 17

64 - 47 = 17

81 - 64 = 17

98 - 81 = 17

So that, The class width of each class is 17.

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Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer: (5, 3)

Step-by-step explanation:

this is just basic coordinate geometry. it tells you how far to go right and up.

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

From the list of options, the expression that is correctly evaluated is: (a.) 6² = 36

The expression that is correctly evaluated is:

a.) 6² = 36

This is because 6² means 6 raised to the power of 2, which is the same as 6 multiplied by itself. So, 6² equals 6 times 6, which is 36.

For other expressions, we have

b.) 12¹ means 12 raised to the power of 1, which is simply 12. Therefore, 12¹ equals 12, not 0.

c.) 3^4 means 3 raised to the power of 4, which is 81, not 12.

d.) 10⁰ means 10 raised to the power of 0, which is always equal to 1, not 10.

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Answer:

Its b

Step-by-step explanation:

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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Answer:

C(x) = 75x + 1908

Step-by-step explanation:

C(x) is the cost function.

The cost of making x bicycles is the sum of the fixed costs and the cost per bicycle.

The fixed cost is $1908.

The cost per bicycle is $75, so the per bicycle cost for x bicycles is 75x.

Add the two costs, and you get:

C(x) = 75x + 1908

Exterior Angle Inequality Theorem

\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

Direction:

Use the Exterior Angle Inequality Theorem to find the measure of each angle below.

Answer:

\( \huge \underline{\boxed{\sf \red{ \angle C = 27^{\circ} }}}\)

\( \huge \underline{\boxed{\sf \red{ \angle D = 153^{\circ} }}}\)

Solution:

Add the ∠A and ∠B and minus it to 180° to know the measure of ∠C. To find the ∠D add only the ∠A and ∠B.

Finding ∠C

\(\large\tt{{180}^{\circ} = \angle A + \angle B + \angle C}\)

\(\large\tt{{180}^{\circ} = {35}^{\circ} + {118}^{\circ} + \angle C }\)

\(\large\tt{{180}^{\circ} = {153}^{\circ} + \angle C }\)

\(\large\tt{{180}^{\circ} - {153}^{\circ} = \angle C }\)

\(\large\tt{{27}^{\circ} = \angle C }\)

\(\large{\boxed{\tt{\angle C = {27}^{\circ}}} }\)

Finding ∠D or ∠ACD

\(\large\tt{ \angle A + \angle B = \angle ACD }\)

\(\large\tt{ {35}^{\circ} + {118}^{\circ} = \angle ACD }\)

\(\large\tt{ {153}^{\circ} = \angle ACD }\)

\(\large{\boxed{\tt{\angle ACD = {153}^{\circ} }}}\)

\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

\( \\ \)

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Answer:

5

Step-by-step explanation:

14-9=5

Answer:

D,p

Step-by-step explanation:

whattttttt ,why is there no option in D

The Probability that a data value is between 27 and 28 is 9.3%.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,

Here, mean of the data is 26

P(0 ≤ x - μ ≤ σ/2) = 0.195

P(0 ≤ x - μ ≤ σ/4) = 0.0987

P(σ/4 ≤ x - μ ≤ σ/2) = 0.093

Thus, the Probability that a data value is between 27 and 28 is 9.3%.

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Answer:

The answer is 1.04

Step-by-step explanation

For 1.04, 4 is in the hundredths place, and 0 is in the tenths place.

Answer:

2 15/28

Step-by-step explanation:

Have a good day!

Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

Answer:

square, or cube

Step-by-step explanation:

Answer:

quadrilateral

Step-by-step explanation:

Answer:

1) 22 seven seaters

2) 4 more students

Step-by-step explanation:

Answer:

a) 22 taxis

b) 4 students

Step-by-step explanation:

150 ÷ 7 = 21 with a remain of 3.

You need one more taxi for those 3 students.

21 + 1 = 22

You need to hire 22 taxis.

Check:

7 × \(21\frac{3}{7}=150\)

____________________________________________________________

7 - 3 = 4

If you had 4 more students, then all of the taxis would be full.

Check:

150 + 4 = 154

7 × 22 = 154

Answer:

3.46410161514

is the square root of 12 so whatever is closest to that.

Step-by-step explanation:

Answer:

The answer is "\(\bold{\frac{22}{171}}\)"

Step-by-step explanation:

There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.

The chances we're searching about \(\frac{(22\ million)}{(171\ million)} = \frac{22}{171}\)

however

This proportion could be further reduced because 22 and 171 have no common features (other than 1).

The formula for perimeter is 2(Length) + 2(width)

Fill in the known information:

22 = 2(6.5)+ 2(width)

Simplify:

22 = 13 + 2(width)

Subtract 13 from both sides:

9 = 2(width)

Divide both sides by 2:

Width = 4.5m

If events R and S are independent, the probability of both occurring (P(R and S)) is the product of their individual probabilities which will give 3/32.

To calculate the probability that if events R and S are independent, both events occurring (P(R and S)) is the product of the individual probabilities of each event.

So, P(R and S) = P(R) x P(S) = (1/4) x (3/8) = 3/32

This is because when events are independent, the occurrence of one event does not affect the probability of the other event, so the probability of both events occurring is just the product of the individual probabilities of each event.

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9514 1404 393

Answer:

  (b)  Yes, the line should be parallel to the triangular faces

Step-by-step explanation:

The base of a triangular prism is a triangular face. A "parallel cross section" is a cross section taken parallel to the base. So, the parallel cross section should be parallel to the triangular faces.

Answer:

Yes, the line should be parallel to the triangular faces

Step-by-step explanation:

I got it right on the test :)

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

The answer is C

Step-by-step explanation:

The equation of the parabola with given vertex and focus is (y-11)² = 36(x-7).

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) denotes the vertex. The standard equation of a regular parabola is y² = 4ax.

Given that, Vertex (7, 11), focus (16, 11).

Let us find an equation of the parabola for vertex (h, k)=(7, 11) and focus (16, 11).

It can be observed that both focus and vertex lie on y = 11, thus the axis of symmetry is a horizontal line.

a = 16-7 = 9 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 9

Use the equation (y-11)² = 4×9(x-7)

(y-11)² = 36(x-7)

Therefore, the equation of the parabola with given vertex and focus is (y-11)² = 36(x-7).

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The standard equation of the parabolas with vertex (7, 11) and focus (16, 11) are:

(y - 11)² = 36(x - 7)

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

We have,

(y - k)² = 4p (x - h) open right

(y - k)² = -4p (x - h) open left

Where focus = (h - p, k)  or (h + p, k) and vertex = (h, k)

Now,

Equation of parabola (y - k)² = -4p (x - h) that open left.

(h, k) = (7, 11)

h = 7 and k = 11

(h - p, k) = ( 16, 11)

h - p = 16

7 - p = 16

7 - 16 = p

p = -9

So,

(y - 11)² = 36(x - 7)

Equation of parabola (y - k)² = 4p (x - h) that open right.

(h, k) = (7, 11)

h = 7 and k = 11

(h + p, k) = (16, 11)

h + p = 16

7 + p = 16

p = 16 - 7

p = 9

So,

(y - 11)² = 36 (x - 7)

Thus,

The standard equation of the parabolas is:

(y - 11)² = 36(x - 7)

(y - 11)² = 36 (x - 7)

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Answer:

y = -5

Step-by-step explanation:

its a lot of work

Answer:

yes congratulation this is the correct answer

Answer:

$3372.13

Explanation:

Given that:

• Principal, P=2500

• Interest Rate, r=6%

• Number of months, m=12

For an interest compounded m times in a year, we use the formula

When n=5 years, we have:

The accumulated amount after 5 years is $3372.13