Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?

Answer:

21x+35[tex]\geq[/tex]160

Step-by-step explanation:

(Amount)(time)+(starting total)[tex]\geq[/tex]total

(21)(x)+(35)[tex]\geq[/tex]160

21x+35[tex]\geq[/tex]160

Answer:

A prom ticket at Valley high school cost $160. Bryan is going to save money for his ticket by walking his neighbor’s dog for $21 per week. Bryan has already has saved $35. Which inequality could be used to find the minimum number of weeks Bryan must walk the dog to earn enough to pay for his prom ticket?

A) 21x + 35 ≥ 160  

B) 21x + 35 ≤ 160  

C) 35x + 21 ≥ 160  

D) 35x + 21 ≤ 160

Step-by-step explanation:  THE ANSWER is A

Answer:

union and the second question is intersection

Step-by-step explanation:

Answer:

The union of two sets A and B is the set of elements that are present in A, in B, or in both A and B.

The intersection of two sets A and B is the set of elements that are present in A, in B.

The number of bags that can be filled completely is 105 and the 3 rocks will be left over.

Division is the process of dividing a number by a given number.

Given that, the number of rocks is 1578 and the number of rocks in each bag is 15.

To find the number of bags, divide the number of total rocks by the number of total rocks in each bag:

1578/15

= 105.2

≈ 105

Now, the number of rocks in 105 bags is:

105 ×15

= 1575

So, the number of rocks left is:
1578 - 1575

= 3

Hence, the number of bags that can be filled completely is 105 and the 3 rocks will be left over.

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Answer: 1.6M kilometers, 8 kilometers

Step-by-step explanation:

Kilometers per mile times miles gives kilometers.

(1.6 kilometers / mile) × M miles = 1.6M kilometers

5×1.6 is 8

Answer:

[tex]x+1[/tex] meters.

Step-by-step explanation:

Let L be the length of rectangle.

We have been given that the rectangle has an area of [tex]x^{2}-6x-7[/tex] square meters and a width of [tex]x-7[/tex] meters.

Since we know that area of rectangle is the product of its length and width.

[tex]\text{Area of rectangle}=\text{Width* Length}[/tex]

[tex]\text{ Length}=\frac{\text{Area of rectangle}}{\text{Width}}[/tex]

To find the length of our given rectangle we will divide area of rectangle by width of our rectangle.

[tex]L=\frac{x^2-6x-7}{x-7}[/tex]

Let us factor out our numerator by splitting the middle term.

[tex]L=\frac{x^2-7x+x-7}{x-7}[/tex]

[tex]L=\frac{x(x-7)+1(x-7)}{x-7}[/tex]

[tex]L=\frac{(x-7)(x+1)}{x-7}[/tex]

Upon cancelling out x-7 from numerator and denominator we will get,

[tex]L=(x+1)[/tex]  

Therefore, the length of our rectangle will be [tex]x+1[/tex] meters.

Answer:

yes

Step-by-step explanation:

for the sticks to form a right triangle, the 3 sticks' lengths must comply w the Pythagoras theorem: hypothesis^2 = first side^2 + second side^2

hypothesis is the longest length so its 10

10^2 = 100 = 36 + 64 = 6^2 + 8^2

so the 3 sticks will form a right triangle

Answer:

6^2+8^2=10^2 so yes

Step-by-step explanation:

In order to test a triangle with lengths 6, 8 and 10 inches is right-angle or not, the Pythagoras equation should be used: a^2+b^2=c^2.

As 6^2+8^2=10^2 so yes, the three sticks will form a right-angle triangle.

Answer:

Sam picked 27

Step-by-step explanation:

41-8=33

33+27=60

Answer:

27.

Step-by-step explanation:

So there was 41 peaches, and they sold 8 so that's 41 - 8 which is 33 peaches. But now there is 60, so you do 60 - 33 gives you how many were picked and 60 - 33 is 27.

Answer:

$875.00

Step-by-step explanation:

If you want to find out how much commission Anil earned in commissions last month, you must multiply $12,500 by .07 (7%) and it equals $875.00.

Hope that helps!

We are given that AB ≅ CB and AD ≅ CD.

We know that BD ≅ BD, so ΔABD ≅ ΔCBD by SSS.

Then ∠1 ≅ ∠2 by CPCTC; and ∠3 ≅ ∠4, also by CPCTC.

Since ∠1 ≅ ∠2, BD is the bisector of (∠1+∠2) = ∠ABC.

Since ∠3 ≅ ∠4, BD is the bisector of (∠3+∠4) = ∠ADC.

From (5), we know BD is the angle bisector of ∠ABC. ΔABC is isosceles, so the bisector of the apex angle is also an altitude and median. That is, point M on BD and AC must be the midpoint of AC by the definition of a median.

Answer:

Toy Cars=6 and total spending by Mr.Lee=$156

Step-by-step explanation:

Let us first consider

Number of Airplanes=A Cars=C and Trains=T

Now how to start with the problem ? Just start reading it step by step. First statements says that The number of airplanes is 2/3 of The number of cars.

Now how to convert it into an mathematical expression?

here the word "=" is of most important, The number of airplanes "is" whenever you encountered "is" just place a "="

so the first statement can be converted into mathematical expression as,

A=2/3*C  (The number of airplanes is 2/3 of The number of cars.)

Now as per the second condition we can write it in mathematical form as,

C=3/5*T (The number of cars is 3/5 the number of trains).

and the third condition as,

C=3/5*T (The number of cars is 3/5 the number of trains).

Now , we have expressed the statements in mathematical expressions. we have three expressions.

Now It is also given that total number of Toys=20 so we can write it as,

A+C+T=20. ............(1)

Till now we have expressed everything in the question in mathematical form.

now for solving such type of question we need to express the expression giving total in a single entity, expressed it in terms of Airplanes,Cars or Trains,

here we are expressing it in terms of Cars so we can rewrite it (1) as,

2/3*C+C+5/3*C=20 (A=2/3*C and C=3/5*T so T=5/3*C)

by solving this we will get C=6

Total number of car toys, answer of first part

now put this value of C in expression 1,

2/3*C+C+T=20

so the value of T will be 10. T=10

and the total is toys are 20 so 20-10+6=4

Means Airplanes are 4.

Now the cost for each toy is.

A=$12,C=$8 and T=1/2 A i.e T=$6.

So the total cost would be,

4*12+6*8+10*6=$156

$156 answer of second part

I Hope this will help you to solve such kind of Problems.

Mr. Lee buys 6 toy cars for his store. The total cost for all the toys he purchased is $156. This includes the cost of toy airplanes, cars, and trains, with each toy tailoring a specific price.

The student wants to know how many toy cars Mr. Lee bought and the total cost of all toys he purchased for his store. We start with the relationships provided: the number of airplanes is 2/3 the number of cars, and the number of cars is 3/5 the number of trains. We also know that the total number of toys is 20. Let A be the number of airplanes, C be the number of cars, and T be the number of trains. So, we have A = (2/3)C and C = (3/5)T.

From these ratios, we can express airplanes and trains in terms of cars: A = (2/3)C, T = (5/3)C. The equation A + C + T = 20 becomes (2/3)C + C + (5/3)C = 20. Simplifying this, we get (10/3)C = 20, so C = 6. Thus, Mr. Lee buys 6 cars. The number of airplanes, A = (2/3) * 6 = 4, and the number of trains, T = 20 - A - C = 20 - 4 - 6 = 10.

Now let's calculate the total cost. Each toy airplane costs $12, each toy car costs $8, and each toy train costs half as much as an airplane, which is $6. The total cost is 4 airplanes * $12 + 6 cars * $8 + 10 trains * $6, which equals $48 + $48 + $60, resulting in a total of $156 spent by Mr. Lee.

Answer would be the third option.

Area of a triangle is half of the base times the height. A=(b·h)/2

In the third option the height is 8 ft. and base is 6 ft. which when multiplied together gets you 48. Half of that is 24.

Answer:

14/5 or 2 4/5

Step-by-step explanation:

7 3/5 = 38/5

4 4/5 = 24/5

38/5 - 24/5 = 14/5 = 2 4/5

Answer:

0.9 represents the amount of the original price he is paying. i.e 0.9 of the original price equals the sales price

Step-by-step explanation:

Answer:

C The percent, as a decimal, of the original price that Ray pays

Step-by-step explanation:

Answer:

The actual room measurement is 15 yrds by 10 yrds

Then the length is 15 yrds

Step-by-step explanation:

1 feet is equal to 0.3333 yards

The room measure 3 by 2 feet

Scale on blue print 1 ft to 5 yrds.

That's is to say for every ft in the Blue print...it is 5 yrds real.

So it's multipling factor bis five.

The actual measurement will be

5*(3 by 2) yrds

The actual measurement is 15 yrds by 10 yrds .

But the length is 15 yrds and breadth is 10 yrds

Total number of fruits

                      = 15 apples + 7 Oranges + 3 Strawberries + 1 banana + 5 limes + 9 pineapples

= 15+7+3+1+5+9

= 22+3+1+14

= 25+15

= 40 fruits

The total is 40 fruits which should be sent to  (2401 W. Grace Street).

Answer:

The total is [tex]40[/tex] fruits which should be sent to  ([tex]2401[/tex] W. Grace Street)

Step-by-step explanation:

Let

x------->the total number of fruits

Find the total number of fruits

[tex]x=15\ apples + 7\ Oranges + 3\ Strawberries + 1\ Banana + 5\ limes + 9\ pineapples[/tex]

[tex]x=15+7+3+1+5+9[/tex]

[tex]x=40\ fruits[/tex]

Answer:

c

Step-by-step explanation:

Option (C) No; because x and y could be additive inverses of each other is correct.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The expression is x + y

The expression can be defined as the combination of constants and variables with mathematical operators.

If x + y is rational, must x and y each can be or cannot be rational because x and y could be additive inverses of each other.

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Thus, option (C) No; because x and y could be additive inverses of each other is correct.

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[tex]Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}[/tex]

To simplify the expression (r⁻³ s² t)⁴, the power of a power rule is used to obtain the result r⁻¹² s⁸ t⁴.

To simplify the expression (r⁻³ s² t)⁴, we apply the power of a power rule, which states that (ab)c = ab*c. Using this rule, we raise each factor within the parentheses to the fourth power:

Therefore, the simplified expression is r⁻¹² s⁸ t⁴.

Answer:

8+8i

Step-by-step explanation:

remove parenthesis

3+i+5+7i

add like terms

8+8i

not sure if you wanted it foiled or like that

Answer:

Cubic Units

Step-by-step explanation:

Self explanatory

Answer:

the units of volume are always cubic units

Answer:

Mutual Fund

Step-by-step explanation:

A mutual fund is invested by managers in diversity of stocks, bonds and other securities. Mutual fund is an investments that help you grow your money to bigger value. Your money will be used to invest in some companies, products and services to be able to gain more.

It is an investment programmed funded by share holders that trades in diversified holdings and is professionally managed. It pols money from many investors to purchase securities. These investors could be institutional or retail in nature.

Answer:

Figure C

Step-by-step explanation:

Figure A represents a ray because it has arrow only on one end.

Figure B is a line segment because it stops on both ends.

Figure C is a line because it has arrow on both ends.

Figure D is an angle, because it is 2 rays joined at a vertex.

Answer:

Joey needs to eat 7 hot dogs per minute to break his own record in next 9 minutes.

Step-by-step explanation:

Joey needs more than 72 hot dogs in 10 minutes to break his own record.That means Joey needs to eat at least 73 hot dogs in 10 minutes.

After 1 minute Joey has eaten = 10 hot dogs.

In remaining 9 minutes balance hot dogs = 73-10 =63

Therefore per minute hot dogs to be eaten = 63/9 =7

So answer is 7 hot dogs per minute to be eaten.

Joey needs to eat  7.00 hot dogs per minute for the next 9 minutes to break his own record.

To break his record, Joey Chestnut needs to eat more than 72 hot dogs in 10 minutes. After the first minute, he has already eaten 10 hot dogs. So, he has 9 minutes left to eat the remaining hot dogs needed to break the record, which is 72 - 10 = 62 hot dogs.

To find out how many hot dogs per minute Joey needs to eat for the next 9 minutes, we divide the remaining number of hot dogs by the remaining time:

Hot dogs per minute = Remaining hot dogs / Remaining time

Hot dogs per minute = 62 hot dogs / 9 minutes

Hot dogs per minute ≈ 6.89 hot dogs per minute

Therefore, Joey needs to eat  7.00 hot dogs per minute for the next 9 minutes to break his own record.

It's important to note that Joey needs to eat more than this calculated rate per minute to ensure he breaks his record, as he cannot consume a fraction of a hot dog. So, he should aim to eat at least 7 hot dogs per minute to secure his victory.

Answer:

sqrt(-80) = 4sqrt(5)i

Step-by-step explanation:

Likely a list of answers should be provided. There are all kinds of possible answers (well 2 perhaps).

Begin by factoring 80 into prime factors.

80: 2*2*2*2*5

For ever pair of 2s, one can be taken outside the square root sign. The other one just disappears.

sqrt(80) = sqrt(2 * 2 * 2 * 2 * 5)

For every pair 2 is taken out of the root sign and the other forgotten

sqrt(2 * 2 * 2 * 2 * 5) = 2 * 2 * sqrt(5) = 4 sqrt(5)

The sqrt(-80) = 4sqrt(5)*sqrt(-1)

There is no real number that can be written as the sqrt(-1). So a number has been defined into existence. sqrt(-1) = i It's a definition, not a real number.

So the end result is sqrt(-80) = 4sqrt(5)i

Answer:  The correct option is (B) -7.

Step-by-step explanation:  We are given to select the correct values of x that make the following rational expression undefined :

[tex]E=\dfrac{16-x}{7+x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

a rational expression is undefined at the points where the denominator becomes zero.

Therefore, the expression (i) will become undefined when

[tex]7+x=0\\\\\Rightarrow x=-7.[/tex]

Thus, the required value of x where the given expression is undefined is -7.

Option (B) is CORRECT.

Answer: x = 9 (choice D)

Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length

AB = BC

3x - 5 = 22 .... substitution

3x - 5+5 = 22+5 .... add 5 to both sides

3x = 27

3x/3 = 27/3 ..... divide both sides by 3

x = 9

Answer:  D

Step-by-step explanation:

When dealing with a an exponent in fraction form:

[tex]5^{\frac{1}{3}} = \sqrt[3]{5^{1}} = \sqrt[3]{5}[/tex]

Answer:

The call it the Donut Eatting Contest

Step-by-step explanation:

okay the first line on that line is 0 in a min then 1 in a min then 2 in a min then 3 in a min then 4 in a min cause she said how many donuts per min

then on each person that eat that many put a x obove the number