Determine whether the given value is from a discrete or continuous data set.When a car is randomly selected, it is found to have a gas tank that can hold 19.9 gal.

Answer:

x=2

Step-by-step explanation:

-3x+1=-5

Subtract 1 from both sides.

-3x=-6

Divide -3 from both sides.

x=2

If f(x)=-5 and f(x)=-3x+1, x=2.

The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

In the question ,

it is given that

the required line is perpendicular to 4x + 4y =32

the slope of 4x + 4y =32

4y = -4x + 32

y = -x + 8

slope = -1

so the slope of the perpendicular line [tex]=[/tex] 1   .

the equation of the perpendicular line passing through (7,1) and slope as 1  is

(y - 1) [tex]=[/tex] 1 (x - 7)

y-1 = x-7

x - y = 7-1

x - y = 6

Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

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Answer: b+6 (less or equal to sign) -23

Step-by-step explanation: b increased by 6 is b+6

Answer:        b+6[tex]\leq[/tex]-23        b[tex]\leq[/tex]-29

Step-by-step explanation:

8+9x+4(11-2x)

As a first step we are going to use distributive property of multiplication:

8+9x+44-8x

Solving ths:

52+x

Answer would be M

Answer:

Jasmine is correct.  The  triangles are similar.

Step-by-step explanation:

Triangle that have the same angle measurements are similar.

The sum of the interior angles of a triangle add up to 180

Triangle x has angles that measure 80 and 30.  That totals 110.  The third angle must be 70 so that it adds up to 180.

Triangle Y has angels that measure 80 and 70.  That adds up to 150, that means that its third angles must be 30

Both triangles have angle measurements to 80, 70, and 30 so they are similar.

Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question

Where:

a is the initial value

b is the factor of decay

y is the new value

x is the time

Let us find the answer using the calculator

Round it to the nearest square km means a nearest whole number

y = 1564 km^2

The final amount is 1564 square kilometers

Answer:

In both cases we get the same answer: the sum of the first 100 positive even numbers is 10,100.

Step-by-step explanation:

2 + 4 + 6 + 8 + ....+ 198 + 200 =

= (2 + 200) + (4 + 1998) + ... + (100 + 102) = 50*202 = 10,100

Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct  ΔDCE ≅ ΔD'C'E'

Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.

Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.

Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.

therefore,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

Hence, Option (B) is correct answer.

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The constant of proportionality between the amount of tomatoes he orders (in pounds), and their cost (in dollars) is: 4 dollars per pound

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

pounds , dollars

Calculating the proportion of the amount of tomatoes he orders and their cost we get:

Proportion dollars per pound = Dollars / pound

Proportion dollars per pound = $88/ 22 pounds = 4 $/pound

Proportion dollars per pound = $92/ 23 pounds = 4 $/pound

Proportion dollars per pound = $96/ 24 pounds = 4 $/pound

Proportion dollars per pound = $100/ 25pounds = 4 $/pound

As we could get the constant of proportionality is 4 $/pound

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer: 18.1 cm, ( i think you can use a ruler)

Step-by-step explanation:

The probability of winning the game is 1/11.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

Given:

If we win the first time on the 11th game played.

So, we can consider the total is 11.

So, the  probability of winning the game

= 1/11

Hence, the probability of winning the game is 1/11.

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Explanation

if you know 2 points of a line you can easily find the slope using

Let

P1(-1,5)

P2(7,1)

replace,

I hope this helps you

Answer:

If breadth means width then it will be 12.5

The second option (B) that is I0I = 0 is true.

This is a question of modulus.

Let us check all the options to find which one is true.

Let us check for A.

A. I10I < 0

We know that,

I10I = 10 > 0

Hence, this option is false.

Let us check for B.

B. I0I < 0

We know that,

I0I = 0 = 0

Hence, this option is true.

C. I-47I < I-30I

We know that,

I-47I = 47 and I-30I = 30

47 > 30

Hence,

I-47I > I-30I

Hence, this option is false.

D. I-100I < I0I

We know that,

I-100I = 100 and I0I = 0

100 >0

Hence,

I-100I > I0I

Hence, this option is false.

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The ordered pair describes the location of F' is (6, -2) reflected over the

y-axis.

The Y-coordinates of a point remain constant when it is reflected across the Y-axis. However, the X-coordinates are transformed into their inverse signs.

As a result, the Y-axis reflection of a point (x, y) is (-x, y).

For the given question;

Point F (-6, -2) is reflected along the y-axis to form a point F'.

The coordinates of F' becomes (6, -2), negative x axis will becomes positive.

Thus, the ordered pair describes the location of F' is (6, -2) reflected over the

y-axis.

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The rational equation is simplified to  x² - 17x = 0

An algebraic expression can simply be defined as an expression composed of factors, variables, terms, coefficients and constants.

These expression are also described as expressions consisting of arithmetic operations such as;

Given the expression;

1/2 - 7/2x = 5/x

find the lowest common multiple

x - 7 /2x = 5/ x

cross multiply

x(x - 7) = 5(2x)

multiply through

x² - 7x = 10x

collect like terms

x² = 10x + 7x

x² - 17x = 0

Hence, the equation is x² - 17x = 0

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The unit price in dollars per ounce is 0.5 dollars per ounce.

According to the question,

We have the following information:

Debra makes 26.40 dollars from selling 52.8 ounces of lemonade.

Now, to convert this into dollars per ounce, we will divide the total amount by the number of ounces of lemonade:

Dollars per ounce = 26.40/52.8

Dollars per ounce of lemonade = 0.5

Now, we can also convert this into cent.

We know that 100 cent make 1 dollar.

So, 0.5 cents will make (0.5*100) cents or in other words, 50 cents.

Now, it will be 50 cents per ounce.

Hence, the units price of lemonade in dollar per ounce is 0.5.

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The number of copies that can be made would be: 35 copies

We would have to solve this problem through the use of cross multiplication

such that we have 20 copies = 8 dollars

unknown copies ? = 14 dollars

This can be re written to be arranged in the form

20 = 8 dollars

? = 14 dollars

we would have to cross multiply

14 x 20 = 8 x ?

280 = 8?

divide through by 14

? = 280 / 14

= 20

Hence the copies that would be made is 35 copies for 14 dollars at the local print shop

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The number of cupcakes that Chad are is 8 cupcakes.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of cupcakes that Chad can buy be x.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. This will be 2x.

Therefore, the appropriate equation will be:

2x + x = 12

3x = 12

Divide

x = 12/3

x = 4

Chad = 2x = 2 × 4 = 8 cupcakes

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Answer:

260.52cm^

Step-by-step explanation:

In the probability distribution  table x=76 and p(x) is 0.3.

Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.

now according to the properties of probability theory we know that sum of probabilities is 1.

so here to find the value of the probability of X corresponding to the value 76 we should use the following steps:

Probability means possibility. It is a branch of mathematics that deals with the occurrence of  random events. The value is expressed from zero to one.  The calculus of probability is introduced in mathematics to predict the probability of events occurring. Probability basically means the degree to which something is likely to happen. It is a basic theory of probability that is also used in  probability distribution, where  the probability of the result of a random experiment is studied. To determine the probability of an event, we should first know the total number of possible outcomes.

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Answer: I am guessing that you want to know what x and y equals

​

Jack paid $ 2.10 more than last week for tinned tomatoes.

The answer is in dollars.

Given that:-

Price of small tomato tins = 50 cents

Price of pasta packet = $ 2

Price of large tomato tins = 2*50 cents =  $ 1

Total price of 6 large tins and a pasta packet = $ 7.50

Price of 4 small tins of tomatoes this week = $ 1.60

Price paid by Jack last week for 18 large tins and 3 pasta packets = 7.50*3 = $ 22.50

Price of 18 large tins = 22.50 - 2*3 = 22.50 - 6 = $ 16.50

As 18 large tins equals 36 small tins, we can write,

Price Jack would have paid this week = 36*1.60/4 = $ 14.40

The amount Jack paid more for tinned tomatoes = 16.50 - 14.40 = $ 2.10

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[tex]x^2=-64\implies x=\sqrt{-64}\implies x=\sqrt{-1\cdot 64}\implies x=\sqrt{-1}\cdot \sqrt{64} \\\\\\ x=\sqrt{-1}\cdot 8\implies x=i\cdot 8\implies x=8i[/tex]

This mixture has an extra scoop of chocolate ice cream so will taste more chocolatey than 3 scoops of chocolate ice cream and 2 cups of milk.

Answer:

x = -2

Step-by-step explanation:

3x - 1 × 3 = 5 × x + 1

3x - 3 = 5x + 1

3x - 5x = 1 + 3

-2x = 4

-2x/-2 = 4/-2

x = -2

The expression when factorized is (5x + 1)(x + 1)(x - 3)

From the question, the expression is given as

5x³ - 9x² - 17x - 3

Express 9x² as 5x² - 15x²  + x²

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x²  + x² - 17x - 3

Express -17x as x - 3x - 15x

So, we have

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x²  + x² + x - 3x - 15x  - 3

Rearrange the terms

5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x²  - 15x  + x² + x - 3x - 15x - 3

Group the terms in 4's

5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x²  - 15x)  + (x² + x - 3x - 15x - 3)

Factorize each group

5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)

Factorize x² + x - 3x - 3

5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))

So, we have

5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)

Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)

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ANSWER:

p = -5

STEP-BY-STEP EXPLANATION:

We have that the form of the equation of the parabola is the following:

In this case we have the following equation, we convert it into its correct form, just like this:

We compare and calculate the value of p, just like this:

Answer:

Explanation:

Here, we want to get the probability that the top card is not a heart card

Mathematically, the sum of the probability that an event will occur and that the event will not occur is 1

Let the event that a heart card is the top card be H

We already have P(H) as 0.28

Thus: