Nola was selling tickets. At the end of the evening she picked up the cash box and noticed a dollar on the floor and wonder if it was supposed to be in the box

The price of tickets for the Dance was 1$(for individuals) or 2 tickets for 8$(for couples) she looked inside the cash box and found 200$ and ticket subs for the 47 students in attendance, does the dollar nola found on the ground belong in the box ?

Step-by-step explanation:

speed= distance/time

time is meant to be in seconds

1mins = 60 secs

75mins =75 x 60 = 4500

distance is meant to be in metres

1metre= 0.001km

100 km = 100 x 1000= 100000

speed =distance/time

speed = 100000/4500

speed=22.22m/s

Answer:

[tex]\large\boxed{80\dfrac{km}{h}}[/tex]

Step-by-step explanation:

[tex]speed=\dfrac{distance}{times}\\\\\text{We have:}\\\\distance=100km,\ time=75min\\\\1h=60min\to1min=\dfrac{1}{60}h\\\\time=\dfrac{75}{60}h=\dfrac{5}{4}h=1.25h\\\\\text{Substitute:}\\\\speed=\dfrac{100km}{1.25h}=80\dfrac{km}{h}[/tex]

Answer:

The second method gives the greater heart rate.

Step-by-step explanation:

In the second method, the age and heart rate(bpm) are in a linear relationship.

Therefore, the maximum heart rate for a 90-year-old person in the second method is = 194 - (194 - 187)7 = 145 bpm.

{Since, the maximum heart rate in the second method decreases in an A.P. having value at the age of 20 is 194 and it decreases by 7 bpm per 10 years}

Now, in the first method, the maximum heart rate for 90-year-old person is y = 220 - 90 = 130 bpm.

Therefore, the second method gives a greater heart rate. (Answer)

Answer:

Step-by-step explanation:

The given expression is

[tex]y=220-x[/tex]

Where [tex]x[/tex] is age.

Now, for [tex]x=90[/tex], we have

[tex]y=220-90=130[/tex]

The equation gives 130 bpm for a 90-year-old patient.

Now, if we observe the given table, we would find a pattern there. The heart rate decreases by 7 while ages decreases by 10, so

For 60 y/o we have 166 bpm.

For 70 y/o we have 159 bpm.

For 80 y/o we have 152 bpm.

For 90 y/o we have 145 bpm.

If we compare, the second method (table) gives the greater heart rate.

Answer:

- y + 8(0) = -2              -y + 8(1)=-2                 -y + 8(2) = -2

-y + 0 =-2                    -y + 8 - 8 = -2 -8         -y +16 - 16 = -2 -16

-y= -2                           -y = -10                        -y = -18

Step-by-step explanation:

- y + 8(0) = -2              -y + 8(1)=-2                 -y + 8(2) = -2

-y + 0 =-2                    -y + 8 - 8 = -2 -8         -y +16 - 16 = -2 -16

-y= -2                           -y = -10                        -y = -18

for x = 0, 1, 2

The corresponding y values for the given x values (0, 1, 2) into the linear equation y + 8x = -2 is equal to -2, -10, and -18, respectively, it illustrates how the y value changes with different x values in a linear equation.

The linear equation y + 8x = -2 for given values of x (0, 1, 2).

Let's solve it step-by-step for each x value:

For x = 0: Substitute x with 0 in the equation, y + 8(0) = -2, which simplifies to y = -2.

For x = 1: Substitute x with 1 in the equation, y + 8(1) = -2, resulting in y = -10.

For x = 2: Substitute x with 2 in the equation, y + 8(2) = -2, simplifying to y = -18.

This exercise demonstrates how changing the value of x affects the corresponding value of y in a linear equation.

It highlights the importance of substitution in solving equations and understanding linear relationships.

Answer:

-1/2 = n

Step-by-step explanation:

2/3(1+n) = -1/2n

2/3 + 2/3n = -1/2n

2/3 + 2/3n - 2/3n = -1/2n

2/3 = -1/2n -2/3n

2/3 = -.5n -.66n

2/3 = -1.16n

2/3/-1.16 = n

.66 - 1.16 =n

-0.5=n

- 1/2 = n

See the explanation

Since you haven't provided any options I'll face this problem in a general way. Linear functions are given of the form:

[tex]y=mx+b[/tex]

This is called the slope-intercept form of the equation of a line. When modeling a linear function we need to take into account that we will have a constant rate of change and that when plotting our model this will follow a line. In order to model a problem as a linear function we need to follow some tips:

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The quantity that is best modeled by a linear function must fit into y = mx + c

A model is a representation of reality. There are many different types of models such as;

A linear function is a function of the sort y =mx + c. The quantity is not shown in the question hence the question is incomplete.

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Answer: 4 and 5/18

Step-by-step explanation: In this problem, we have 7/6 divided by 3/11. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.

So here, 7/6 ÷ 3/11 can be rewritten as 7/6 × 11/3.

Now we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.

So we have 7 × 11 which is 77 and 6 × 3 which is 18.

Now we have the fraction 77/18.

We can write 77/18 as a mixed number by dividing the denominator of the fraction into the numerator.

18 divides into 77 4 times with a remainder of 5.

So we can write 77/18 as 4 and 5/18.

Notice that the 18 stays which is the denominator of our original answer.

This means that 7/6 ÷ 3/11 = 4 and 5/18.

Answer:

then he would made an 85 bc he wouldve got 5 points added on to his quiz

Answer:

Temperature of the ice for ice-skating = -5 °C

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Temperature of the ice for an ice hockey match = - 7 °C

Temperature for ice- skating is 2 degrees warmer.

2. What is the temperature of the ice for ice-skating?

For the correct calculation, we use this formula:

Temperature for ice-skating = Temperature of the ice for a hockey match + 2

Temperature for ice-skating = -7 + 2

Temperature of the ice for ice-skating = -5 °C

We add 2 to the temperature of the ice for a hockey match because the temperature for ice-skating is described as warmer. If it were described as colder, we should subtract.

Answer:

-5c

Step-by-step explanation:

because basically  you subtract because it is below normal

[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] ~\dotfill[/tex]

[tex]\bf \cfrac{4(3x^2y^4)^3}{(2x^3y^5)^4}\implies \cfrac{4(3^3x^{2\cdot 3}y^{4\cdot 3})}{(2^4x^{3\cdot 4}y^{5\cdot 4})}\implies \cfrac{4(27)x^6y^{12}}{16x^{12}y^{20}}\implies \cfrac{108x^6y^{12}}{16x^{12}y^{20}} \\\\\\ \cfrac{108}{16x^{12}x^{-6}y^{20}y^{-12}}\implies \cfrac{108}{16x^{12-6}y^{20-12}}\implies \cfrac{27}{4x^6 y^8}[/tex]

The number is -9

Step-by-step explanation:

Let x be the number then according to given statement

[tex]4x+10 = x-17[/tex]

Subtracting 10 from both sides

[tex]4x+10-10 = x-17-10\\4x = x-27[/tex]

Subtracting x from both sides

[tex]4x-x = x-x-27\\3x = -27[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} = \frac{-27}{3}\\ x = -9[/tex]

Verification:

[tex]4(-9)+10 = -9-17\\-36+10=-26\\-26=-26[/tex]

The number is -9

Keywords: Linear equation, variables

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Answer: 15

Step-by-step explanation:

Recall : if sin α = cos β , then α + β are complementary , that is

α + β = 90

Since  sin (2x+7) = cos(4x-7) , then (2x+7) and (4x-7)  are complementary , that is:

2x + 7 + 4x - 7 = 90

6x = 90

x = 90/6

x = 15

The missing value x is constituting the angles of both sin and cos trigonometric ratios.

By using complementary property, the value of x for given condition is evaluated as 15.

The missing value x is constituting the angles of both sin and cos trigonometric ratios.

Its known by trigonometry that  when [tex]sin(\alpha) = cos(\beta)[/tex], then [tex]\alpha + \beta = 90^{\circ}[/tex]

Thus, we have:

[tex]2x + 7 + 4x - 7 = 90\\\\6x = 90\\\\x = \dfrac{90}{6}\\\\x = 15[/tex]

Thus, value of x for given condition is 15.

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Answer:

Speed of Carol is 78 mph and that of Steve is 84 mph.

Step-by-step explanation:

Let the speed of Carol is x mph and that of Steve is (x + 6) mph.

If they move towards each other with that speed, then the resultant speed will be (x + x + 6) = (2x + 6) mph

With this resultant speed, they cover 405 miles in 2.5 hours.

So, [tex]2x + 6 = \frac{405}{2.5} = 162[/tex]

⇒ 2x = 156

⇒ x = 78 mph

So, speed of Carol is 78 mph and that of Steve is (78 + 6) = 84 mph. (Answer)

For this case we must solve the following equation:

[tex]\frac {x} {4} + 2 = -12[/tex]

Subtracting 2 from both sides of the equation we have:

[tex]\frac {x} {4} = - 12-2[/tex]

Equal signs are added and the same sign is placed.

[tex]\frac {x} {4} = - 14[/tex]

Multiplying by 4 on both sides of the equation we have:

[tex]x = -14 * 4\\x = -56[/tex]

Thus, the solution of the equation is [tex]x = -56[/tex]

Answer:

[tex]x = -56[/tex]

There were 9 cats on the shelter on thursday

Solution:

Let "a" denote number of cats

Let "b" denote number of dogs

Cost per day for each cat = $ 4.50

Cost per day for each dog = $ 8.50

Given that Violet found a record showing that there were a total of 30 cats and dogs on Thursday

Thus, number of cats + number of dogs = 30

a + b = 30  ------ eqn 1

Also given that Violet noticed that the shelter spent $219.00 caring for cats and dogs on Thursday

Number of cats x cost per day for each cat + Number of dogs x cost per day for each dogs = $ 219

[tex]a \times 4.50 + b \times 8.50 = 219[/tex]

4.5a + 8.50b = 219  ----- eqn 2

Multiply first equation by 4.5

4.5a + 4.5b = 135  ---- eqn 3

Subtract eqn 2 from eqn 3

4.5a + 4.5b = 135

(-)4.5a + 8.50b = 219

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

-4b = -84

b = 21

Substitute this y value into the first equation

a + b = 30

a + 21 = 30

a = 9

Thus "a" denotes number of cats, so number of cats on thursday = 9

Answer:

Andre has the correct answer. When simplified his answer is equivalent to the original equation.

Answer:

2pg1

Step-by-step explanation:

Hehe

Answer:

Step-by-step explanation:

20y - 60 = 5x

add 60 to both sides:

20y = 5x + 60

divide through by 20:

y = (1/4)x + 3

slope = 1/4

y-intercept = (0, 3)

Answer:

The average speed of the first plane is 315 mph and that of the second plane is 105 mph.

Step-by-step explanation:

Let us assume that the first plane has speed x mph and that of the second plane is y mph.

So, as per given condition x = 3y ......... (1)

Now, given that after traveling in the same direction for 7.5 hours, they are 1575 miles apart.

So, we write the equation as  

7.5x - 7.5y = 1575

⇒ x - y = 210 ........ (2)

Now, solving equation (1) and (2) we get, 3y - y = 210

⇒ 2y = 210

⇒ y = 105 mph

So, from equation (1) we get, x = 3y = 315 mph.

So, the average speed of the first plane is 315 mph and that of the second plane is 105 mph. (Answer)

So this is the answer...

Hope this can help :)

Answer:

6

Step-by-step explanation:

it's asking how much makes 10% of 60 and to find it we use this formula :

60 ÷ 100 × 10 = 6

Answer:

6 milkshakes

Step-by-step explanation:

All you need to do is multiply:

60 (0.10) = 6

Answer:

x = 20

Step-by-step explanation:

-7 (2) = -14 so...

10 (2) = 20

Expanded form of 3( 6 + 7) is [tex]3 \times 10+9 \times 1[/tex]

Need to use distributive property to write the expanded form of 3(6 + 7)

Let’s understand what is distributive property.

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

According to distributive property, for numbers a , b and c

[tex]a(b+c)=a \times b+b \times c[/tex]  ----- eqn 1

3(6 + 7) can be rewritten as 3 ( 6 + 4 + 3 ) = 3 ( 10 + 3 )

Now in our case a = 3 , b = 10 and  c = 3  

On substituting the values of a , b and c in equation 1 we get

[tex]3(10+3)=3 \times 10+3 \times 3=3 \times 10+9 \times 1[/tex]

So expanded form of 3( 6 + 7) is [tex]3 \times 10+9 \times 1[/tex]

Answer:

5

Step-by-step explanation:

(-3)(2)-7(-3)-10

-6+21-10

15-10

5

Final answer:

To translate the given statement into an inequality, it converts to 3x - 4 ≥ 2x + 8. Through simplification, we find that x must be at least 12. This showcases the application of basic algebra rules and solving inequalities.

Explanation:

The question asks to translate 'The sum of three times a number and -4 is at least twice the number plus 8' into an inequality. This can be put into mathematical terms as 3x - 4 ≥ 2x + 8, where 'x' represents the unknown number. To solve, we follow several steps:

Subtract 2x from both sides, resulting in x - 4 ≥ 8.

Add 4 to both sides to isolate the variable, giving x ≥ 12.

This inequality tells us that for the original statement to hold true, the number (x) must be 12 or greater. The process involves understanding operations with numbers, such as adding, subtracting, and applying the rules of inequality to solve for 'x'.

Answer:whole wheat

Step-by-step explanation:

Its whole wheat because when you divide the cost by the weight whole wheat is the best deal

Answer:

[tex]1\dfrac{1}{4}a^6b^3[/tex]

Step-by-step explanation:

A square of a monomial is [tex]1\dfrac{9}{16}a^{12}b^6[/tex] that is [tex]\dfrac{25}{16}a^{12}b^{6}[/tex]

Use properties of exponents:

[tex](a^m)^n=a^{mn}\\ \\\dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m\\ \\a^mb^m=(ab)^m[/tex]

Note that

[tex]\dfrac{25}{16}=\dfrac{5^2}{4^2}=\left(\dfrac{5}{4}\right)^2\\ \\a^{12}=a^{6\cdot 2}=(a^6)^2\\ \\b^6=b^{3\cdot 2}=(b^3)^2[/tex]

Then

[tex]\dfrac{25}{16}a^{12}b^{6}=\left(\dfrac{5}{4}\right)^2\cdot (a^6)^2\cdot (b^{3})^2=\left(\dfrac{5}{4}a^6b^3\right)^2[/tex]

So, the monomial is

[tex]\dfrac{5}{4}a^6b^3=1\dfrac{1}{4}a^6b^3[/tex]

Answer:

y=-3x-3

Step-by-step explanation:

The equation of the line written in the form y=mx+b that passes through G and has y-intercept of -3 is y=-3x-3

The slope-intercept form is y = m x + b, where

m is the slope

b is the y-intercept

Given that the line passes through G and has y-intercept of -3

Now Substitute it in the form of the equation

∴ y = mx - 3

From the given graph we can see that the slope is -3.

Then substitute it in the equation

y = -3x - 3

The new equation is y=-3x-3

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The factorization of the expression 2b + 8 is 2 ( b + 4 ).

Given data:

The expression is represented as 2b + 8.

To factor out the coefficient of the variable in the expression 2b + 8, determine the greatest common factor (GCF) of the terms.

The GCF of 2b and 8 is 2.

So, divide each term by 2 to factor out the coefficient:

2b + 8 = 2(b) + 2(4)

Now, rewrite the expression factored out:

2b + 8 = 2(b + 4)

Hence, the expression 2b + 8 factored is 2(b + 4).

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Answer:

-4 = x

Explanation:

-11x +3x =-8x

24=-8x-8

+8= +8

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

32=-8x

--- -----

-8. -8

x= -4

To solve for x in the equation 24 =-11x-8+ 3x, combine like terms and isolate the variable by performing algebraic operations.

To solve for x in the equation 24 =-11x-8+ 3x, we can combine like terms:

Therefore, the solution for x is -4.