What will be the sales price of the car if it has a regular price of $16 000 and is on sale for 20% off? Determine the cost of the car including 13% tax.

Answer: 12 inches

Step-by-step explanation:

Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

A proportion is a fraction of a total amount.

In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:

M = $6 x 9 = $54.

Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078

Answer:

126

Step-by-step explanation:

the number of cargo cars is represented by the 35 part of the ratio , then

105 ÷ 35 = 3 ← value of 1 part of the ratio , then

passenger cars = 7 × 3 = 21

total cars = 105 + 21 = 126

1. 2

2. 2
3. 4

4. 3 and 1

5. C

6. B

7. C and D

8. 3

9. 1 and 4

10. C

11. 2

12. D

You're Welcome✌! Brainliest would mean a lot.

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

➙ the given quadratic equation.

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]

Solving one by one,

[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{8}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=2}}}[/tex]

________________

[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{-6}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]

________________________________

Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.

________________________________

Hope it helps!! (:

Answer:

[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

Answer:

5, 6, 7

Step-by-step explanation:

5 + 6 + 7 = 18

Answer:

15,16,17

Step-by-step explanation:

The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.

Let a,b,c be positive integers

Let a be the smallest integer.

Because the answer says the sum of the integers has to be 18 more than   2 x  the smallest integer. It means the situation can be represented as:

a + b + c = 2a + 18

Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.

a = a

b = a + 1

c = a + 2

Now we can solve for a:

a + (a+1) + (a+2) = 2a + 18

a + a + 1 + a + 2 = 2a + 18

3a + 3 = 2a + 18

a + 3 = 18

a = 15

then we can fill in the rest.

b = (15) + 1 = 16

c = (15) + 2 = 17

Now we verify.

15 + 16 + 17 = 2(15) + 18 ?

15 + 16 + 17 = 48

2(15) + 18 = 48

We now have the solution. The consecutive numbers, are, and can only be

15,16,17

Answer:

A. $2.59

Step-by-step explanation:

If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)

Answer:

80 893 720

Step-by-step explanation:

hope dis helps!!!!

The equation that can be used to determine the volume of the sphere is 4/3π10³

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

Answer:

The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The Critical z-values are -1.96 and 1.96 option second is correct.

It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.

It is required to find the critical z-values.

It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.

We are assuming the data given below:

x = 3.5

[tex]\mu =3.3[/tex]

[tex]\sigma = 0.6[/tex]

n = 40

We know the formula for the Z score:

[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]

Z = 2.10

The area under the normal distribution curve:

P(Z= 2.10)  = 0.9821   ( from the z table)

We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.

H1: There is a significant difference in levels of job satisfaction.

The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.

The critical z-values are:

-1.96 and 1.96  (from the critical value calculator at a 5% significance level with two-tailed)

Thus, the Critical z-values are -1.96 and 1.96 option second is correct.

Learn more about the critical value here:

https://brainly.com/question/13686040

Answer:

Step-by-step explanation:

Givens

V = 75716

pi = 3.14

r = ?

Formula

V =  (4/3) pi * r^3

Solution

75716 =  (4/3) * 3.14 * r^3              Multiply both sides by 3/4

75716 * 3/4 = 3.14 * r^3

56787 = 3.14 r^3                           Divide by 3.14

56787 / 3.14 = 3.14 * r^3/3.14

18085 = r^3

∛18985 = ∛ r^3

r = 26.25

Answer: 26 degrees

Step-by-step explanation:

An interior angle and its exterior angle are supplementary.

Answer:

   16.5 ≈ x

Step-by-step explanation:

We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.

The tangent function definition is

tan α = opposite side/ adjacent side

In our problem

   tan 70° = x/ 6, multiply both sides by 6 to isolate x

6 · tan 70° = x, use the calculator (make sure is set in degrees)

    16.4848 ≈ x , round to the nearest tenths

         16.5 ≈ x

Answer:

Here is your answer

Step-by-step explanation:

Solution,

here,

Base is 75 cm

Height is 12 cm

Now,

Area of triangle=1/2×b×h

=1/2×75×12

= 900/2

=450. ans

Answer:

A ≈ 160 cm²

Step-by-step explanation:

the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is

A = absinΘ

here a = 12 , b = 15 and Θ = 117° , then

A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )

in∆BDC

use sine rule for area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]

[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]

[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]

Answer: 4.5

Step-by-step explanation:

6 x 3/4 = 18/4 divided that and it equals 4.5

Answer:

146.7

Step-by-step explanation:

The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.

Answer: 33.88 meters

Step-by-step explanation:

Answer:

  6 cm

Step-by-step explanation:

A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.

The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)

The diameter is twice the radius:

  d = 2 × (3 cm) = 6 cm

The dial's diameter is 6 cm.

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

Answer:

883.125

Step-by-step explanation:

First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.

Hopefully this helps- let me know if you have any questions!

The area of the vase lies between the area [tex]135\ cm^2[/tex] and [tex]155\ cm^2[/tex] will be [tex]153.86\ cm^2[/tex].

As we know that the area of the circle is given by the formula

[tex]A=\pi r^2[/tex]

So now from the question, we will find the radius for both the given areas.

Radius for the first area

[tex]r=\dfrac{A}{\pi} =\dfrac{135}{\pi} =6.56\ cm[/tex]

Radius for the second area

[tex]r=\dfrac{A}{\pi} =\dfrac{155}{\pi} =7.03\ cm[/tex]

Now we can see the range of the radius lies

[tex]6.56\leq r\leq 7.03[/tex]

The radius must be r=7 cm lie between two quantities.

Then the area at r= 7cm will be

[tex]A=\pi r^2[/tex]

[tex]A=\pi\times 7^2=153.86\ cm^2[/tex]

Thus the area for the vase will be [tex]A=153.86\ cm^2[/tex] ar radius r= 7 cm

To know more about the Area of the circle follow

https://brainly.com/question/24375372

Answer:

4 weeks

Step-by-step explanation:

original base amount 150 200

1st week deposit 175 210

2nd week deposit 200 220

3rd week deposit 225 230

4th week deposit 250 240

Answer:

A

Step-by-step explanation:

Hope this helped

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Then, use substitution & solve:

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

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(I hope that helps & good luck! <3)