Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?

Select the correct answer.

A. 0.75x = 0.8(x + 10)
B. 0.75(x + 10) + 0.8x = 101
C. 0.75x + 0.8x + 10 = 101
D. 0.75x + 0.8(x + 10) = 101

Answer:

5.833

Step-by-step explanation:

SIX MINUS 0.617 IS 5.833

Answer:

5 square root 9

Step-by-step explanation:

A rational number is a number that can be put in fraction form.

You can easily take the square root of 9 to get 3, which you can multiply by 5 to get 15.

Since you can make 15 into 15/1, which is a fraction, it is rational.

Let x and y be the two numbers. We have:

[tex]\begin{cases}x+y=14\\x+2y=25\end{cases}[/tex]

Subtract the first equation from the second to get

[tex]y=11[/tex]

And deduce

[tex]x+11=14 \iff x=3[/tex]

The two numbers are 3 and 11.

Answer:

3.31 pounds of eggs will be required to prepare the recipe.

Step-by-step explanation:

Since 1 kilogram = 2.205 pounds is the scale by which we can convert the unit kilograms into pounds

∵ 1 kilogram = 2.205 pounds

∴ 1.5 kilograms = 1.5 × 2.205

                         = 3.3069 pounds

                         ≈ 3.31 pounds

Therefore, 3.31 pounds of eggs will be required to prepare the recipe.

300

Step-by-step explanation:

It’s in the hundreds place

Answer:

Yes

Step-by-step explanation:

∠4 = ∠7 ( vertical angles )

The angles are opposite angles of the vertex with the same straight lines

Angle 4 and 7 are vertically opposite angle.

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.

in the given systems of line,

Angle 1, 2, 3, 4, 5, 6, 7, and angle 8 are given.

To determine angle 4 and angle 7 are vertically opposite or not.

Use vertically opposite angle property,

Since, angle 4 and 7 are at same vertex and apposite to each other,

Therefore, angle 4 and 7 are vertically opposite angles.

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Answer:When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.

Step-by-step explanation:

Answer:

The properties of reflection are used when we want to reflect a figure across a specific line, it can be across y-axis, x-axis, y = x or y = -x.

In either case, the result is a reflection, that is, those lines will work as a mirror, having the same shape and size but reflected across the line.

It's important to say that a reflection is a rigid transformation, which means the shape or size of the figure won't chance.

If we want to reflect across the y-axis, the transformation is:

[tex](x,y) \implies (-x,y)[/tex]

Across the x-axis: [tex](x,y) \implies (x,-y)[/tex]

Across the line y = x: [tex](x,y) \implies (y,x)[/tex]

Across the line y = -x: [tex](x,y) \implies (-y,-x)[/tex].

Both of the digits in the hundreds and tens place are 4, making it a relationship. The 4 in the hundreds place is worth 400, the 4 in the tens place is worth 40, and the 0 in the ones place is worth 0.

Hope this helped!

Nate

Answer:

let me fill your answer with this picture

Step-by-step explanation:

48.75 i belive

Answer:

30

Step-by-step explanation:

First find 20% of 25

25 x .20 = 5

Then add the product to the original number

25 + 5

Your answer is 30.

Answer:

x  =  4 ,  y  =  − 2

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Answer:

x=4

y=-2

Step-by-step explanation:

We are give two linear equations and asked to solve them. The two equations are

-3y+5x=26

-2y-5x=-16

Adding both equations

-5y=10

Dividing both sides by -5

y=-2

Substitute y=-2 in first equation

-3(-2)+5x=26

6+5x=26

5x=20

Dividing both sides by 5

x=4

Answer:

The expression is [tex]\$(27n+17)[/tex]

Step-by-step explanation:

The question is Simplify the expression and identify the units

we have

[tex]25n+0.08(25n)+17[/tex]

Find the product between 0.08 and 25n

[tex]0.08(25n)=2[/tex]

substitute

[tex]25n+2n+17[/tex]

Groups terms that contain the same variable

[tex](25n+2n)+17[/tex]

Combine like terms

[tex]27n+17[/tex]

The expression above represent the total cost

therefore

the unit is in dollars ($)

Hey!

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Solution:

1/2 are younger than 10.

1/20 are 10 years old.

1/10 are older than 10 but younger than 12.

70 are 12 years old.

Find Common Denominators.

1/2 = 10/20

1/20 = 1/20

1/10 = 2/10

Add.

10/20 + 1/20 + 2/10 = 13/20

Subtract.

20/20 - 13/20 = 7/20

So we now see that 7/20 = 70

Now we can see that 1/20 = 10

-------------------------------------------------

Answer:

There are 10 students that are 10 years old.

-------------------------------------------------

Hope This Helped! Good Luck!

Answer:

10

Step-by-step explanation:

0.50 = x<10

0.05 = 10

0.10 = 10<x<12

70 students = 12+

How many are 10 yrs old?

0.50 + 0.05 + 0.10 = 0.65

To find the percent, multiply it by 100

0.65 * 100 = 65%

70 are 35%

70/0.35 = 200 total

200 * 0.05 = 10 ten-year-old students

10

The simplest form of '18' is '18'. In relation to the field trip, '18' represents the number of third-grade students who attended, which is half of the total group of 36 students.

This question is asking for us to simplify the number '18'. The simplest form of a number is itself when it cannot be divided evenly by any other numbers except for 1 and itself. In this case, the number '18' can be divided by 1, 2, 3, 6, 9, and 18. It cannot be simplified further because it does not have any other divisors aside from these. Therefore, the simplest form of '18' is '18'.

In the context of this question, if '18' represents the number of students in the third grade who went for the field trip, that refers to exactly half of the total group since there were 36 students in total.

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Answer:

Step-by-step explanation:

[tex]\frac{100ft}{0.5s} * 60s[/tex]

[tex]\frac{100 * 60}{0.5}[/tex]

[tex]\frac{6000}{0.5}[/tex]

[tex]12000ft[/tex]

[tex]\text{Hello there!}\\\\\text{We know that a car travels 100 ft every .5 seconds}\\\\\text{Lets find how far it goes every second}\\\\100*2=200\,\text{ft per second}\\\\\text{We're trying to find how far it goes in a minute, so multiply by 60}\\\text{Since 60 seconds = 1 minute}\\200*60=12000\\\\\boxed{12,000 ft}[/tex]

Answer:

The correct option is the first one. An animal skull

Step-by-step explanation:

The correct option is the first one. An animal skull

The radiocarbon dating, also referred to as carbon -14 dating, is used for the determining of the age of an object containing organic matter based on the properties of the radiocarbon.

The age detection of the ancient objects are very tough,due to no records are available about the objects.

That's why scientists use carbon-14 dating process.

In this picture, the only object that contains organic material is the animal skull, thus it is the only one that can be dated with this method.

Answer:

The correct option is animal skull

Step-by-step explanation:

Carbon-14 dating is a method for determining the age of an object containing organic material by utilising the properties of a radioactive isotope of carbon. As we have no records of the object, it's become very difficult to detect the age of an object . In such a situation, carbon-14 dating process helps .

In the given picture, animal skull is the only object that contains organic material , so it is the only object for which  geologist would use carbon-14 dating to determine age.

Therefore, the correct option is animal scull ( first one )

Answer:

x - 9y = 17

x - 17 = 9y

( x - 17)/9 = y

Answer:

(x-3/4)(x+4)

any quadratic can be written as (x-root)(x-root) if you need standard form then multiply

The required solution is -63/4.

It is required to find the number.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Step 1: Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 17, so we write it as (X+17). The product is four times (X+17), so we write it as 4(X+17). Set it equal to 5, as per the question,

4(X+17)=5

Step 2: Divide both sides by 4

4(X+17)/4=5/4

X+17=5/4

Step 3: Isolate X by subtracting 17 from both sides

X= 5/4-17

X= 5/4- (17*4)/4

X= 5/4-68/4

X=-63/4

Therefore, the required solution is -63/4.

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Answer:

He ran for 83.333 seconds before he was caught.

Hope this help.

Answer:

E is the same distance away from A, and A to B.

Answer:

[tex]\large\boxed{\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}}[/tex]

Step-by-step explanation:

You must have the same denominator to add two fractions.

LCD = 6

[tex]\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{2}{6}[/tex]

[tex]\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{4}{6}+\dfrac{1}{6}=\dfrac{4+1}{6}=\dfrac{5}{6}[/tex]

Answer:

Part 1) Is a cubic expression

Part 2) The quadratic expression is 12x² + 8x − 1

Step-by-step explanation:

Part 1) Classify the expression: 5x³ + 2x − 3

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

so

a) By the number of terms is a trinomial, because has three terms

b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable

The highest exponent is 3 so this is a 3rd degree trinomial  

therefore

Is a cubic expression

Part 2) Choose the expression that represents a quadratic expression

we know that

If the expression is a quadratic equation , then the highest exponent of the variable is 2

therefore

The quadratic expression is 12x² + 8x − 1

Answer:

1. Cubic expression

2. [tex]12x^2+8x-1[/tex]

Step-by-step explanation:

1. We have the expression [tex]5x^3+2x-3[/tex] and we have to classify it.

A quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].

We can see that the first term is squared. And in the expression that we have to classify the first term is raised to the cubic, then it isn't a quadratic expression.

A linear expression has the form [tex]ax+b[/tex].

We can see that it only has two terms and the first term has exponent 1. The expression [tex]5x^3+2x-3[/tex] has 3 terms and the first term has exponent 2 then it isn't a linear expression.

A cubic expression has the form[tex]ax^3+bx^2+cx+d[/tex].

We can see that the first term is raised to the cubic. And [tex]5x^3+2x-3[/tex] is raised to the cubic.

We can rewrite it: [tex]5x^3+2x-3=5x^3+0x^2+2x-3[/tex]

[tex]a=5\\b=0\\c=2\\d=-3[/tex]

The expression [tex]5x^3+2x-3[/tex] agrees with the definition of a cubic expression. Then it's a cubic expression.

An Exponential expression has the form [tex]y=ab^x, a>0[/tex]

2. We said that a quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].

Then the expression that agrees with the definition is [tex]12x^2+8x-1,a\neq 0[/tex]

With,

[tex]a=12\\b=8\\c=1[/tex]

Answer:

Box 1: Quadrant I

Box 2: Quadrant II

Box 3: Quadrant III

Hope this helps.

Answer:

15ft

Step-by-step explanation:

you have to add 11 and 4 to get 15

The change of elevation of the diver is of 15 metres.

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Answer:

go down

Step-by-step explanation:

They don¨t want to spend to much money on something so they wait.

Answer:

0.62

Step-by-step explanation:

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (3a)(a^{-3})\implies 3a\cdot \cfrac{1}{a^3}\implies \cfrac{3a}{a^3}\implies \cfrac{3~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{aa~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{3}{a^2}[/tex]

Answer:

the bread will cost around 28 dollars.

Step-by-step explanation:

To estimate the future cost of a $1.42 loaf of bread in 25 years based on inflation, we can use the compound interest formula with an assumed average inflation rate.

To calculate how much a $1.42 loaf of bread will cost in 25 years based on inflation, we need to consider the rate of inflation over that period. However, without that specific data, we can estimate the future cost of the bread using past inflation rates.

Let's assume an average inflation rate of 2% per year. To calculate the future cost, we can use the formula for compound interest: Future Price = Present Price * (1 + Inflation Rate)^Number of Years

For the loaf of bread, the future price will be: $1.42 * (1 + 0.02)^25 = $2.63

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Answer:

#17 Complementary

#18 Neither

Step-by-step explanation:

Complementary Angle: If sum of two angles is right angle then both angles are complementary to each other.

Supplementary Angle: If sum of two angles is straight angle then both angles are supplementary to each other.

#17 In figure 1

∠1 + ∠2 = 90°

Sum of ∠1 and ∠2 is 90° which is right angle.

Therefore, ∠1 and ∠2  are complementary angles.

#18 In figure 1

Sum of ∠1 and ∠2 neither 90° not 180°

Therefore, ∠1 and ∠2  neither complementary angles nor supplementary angles.