Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Pam practices math every day (x) and the number of minutes
she dances every day (y).


Part B: How much time does Pam spend practicing math every day? Show your work.


Part C: Is it possible for Pam to have spent 60 minutes practicing dance if she practices for a total of exactly 80 minutes and dances for 20 minutes longer than
she works on her math? Explain your reasoning.

Answer:

√200 or 14.1

Step-by-step explanation:

Pythagoras' Theorem: a²+b²=c²

Rearrange to get b² (one of the smaller sides): c²-a²=b²

225-25=200

√200 = 14.1

Answer:

14.1 I hope this helps! Brainliest please!

Step-by-step explanation:

So we use the Pythagorean theorem which is a squared + b squared = c squared. C is the hypotenuse. So we do:

15 squared - 5 sqaured = b squared

225 - 25 = b squared

200 = b squared

14.1 = b

Answer:

15 = 2x - 3y

Step-by-step explanation:

We have the two points P1(3,-3) and P2(9,1).

First, calculate the slope between those points:

slope [tex]= \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{9 - 3} = \frac{4}{6} = \frac{2}{3}[/tex]

Now simply move 3 steps from (3,-3) towards the y-axis to get the intersection with the y-axis (each step reduces x by 1 and applies the slope to the y-value):

(3,-3)

---> (2, -3 - (2/3)) = (2,-3 2/3)

---> (1, (-3 2/3) - 2/3) = (1, -4 1/3)

---> (0, (-4 1/3) - 2/3) = (0,-5)

This tells us, that our line intersects the y-axis at (0,-5).

The general form of a line is f(x) = <SLOPE> * x + <Y-VALUEATXEQUALSZERO>.

In our case: f(x) = y = (2/3)x -5.

To get it into the correct form, we simply subtract y from both sides and get:

0 = (2/3)x - y - 5

To get only integers just multiply everything with 3 and add 15 and get:

15 = 2x - 3y, which fulfils the form asked for in the problem.

Answer:

y=-3/5x-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-3/5(x-(-5))

y+4=-3/5(x+5)

y=-3/5x-15/5-4

y=-3/5x-3-4

y=-3/5x-7

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Quadratic formula.

Since we know that, for

[tex]a {x}^{2} + bx + c = 0[/tex]

For this quadratic equation, the formula is :

[tex] \frac{ - b - + \sqrt{ {b}^{2} } - 4ac }{2a} [/tex]

so we apply it here,

so we get as,

[tex] \frac{ - 5 + - \sqrt{25 - 24} }{6} [/tex]

option C is correct.

Answer:..........

Step-by-step explanation:

Answer:

B) 2w + 3c = 9.45 AND 4w + 5c = 14.75

Step-by-step explanation:

Let us represent:

Number of water bottles = w

Number of bag of chips = c

Hence:

Samaia buys two water bottles and three bags of chips for $9.45.

2w + 3c = 9.45......Equation 1

Abdullah goes to the same store and buys four water bottles, as Samaia, and five bags of chips, same as ones Samaia bought, for $14.75.

4w + 5c = 14.75......Equation 2

Which choice below accurately represents a system of equations, w for water bottles and c for chips, for this scenario?

Option B) 2w + 3c = 9.45 AND 4w + 5c = 14.75 is the correct option.

=======================================================

Explanation:

The -2 outside the first matrix multiplies to every item inside that first matrix.

So the x updates to -2x in the upper left corner.

That -2x adds to the 3 in the upper left corner of the second matrix. The sum -2x+3 must be equal to the value in the upper left corner of the third matrix.

Everything is focused on the upper left corner.

So we must solve -2x+3 = x

Doing so leads to...

-2x+3 = x

3 = x+2x

3 = 3x

3x = 3

x = 3/3

x = 1

Answer:

101.50

Step-by-step explanation:

Answer:

$101.50

Step-by-step explanation:

7% of 1450 = 0.07 × 1450 = 101.5

Answer:

2.25

Step-by-step explanation:

32 divided by 14 2/9

can I please have brainiest

Answer:

y= 3x+2

I hope this helped  :)

Answer:

12

Step-by-step explanation:

12

Answer:

(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.

(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.

(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.

(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.

Step-by-step explanation:

The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is defined by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured  in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

From statement, we understand that volume of the cylinder is directly proportional to its height. That is:

[tex]V \propto h[/tex]

[tex]V = k\cdot h[/tex] (2)

Where [tex]k[/tex] is the proportionality constant, measured in square centimeters.

In addition, we eliminate this constant by constructing the following relationship:

[tex]\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}[/tex]

[tex]V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}[/tex] (3)

Based on (3) and knowing that [tex]V_{1} = 48\pi[/tex], we calculate the volumes for each height ratio:

(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.

(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.

(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.

(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.

Answer:

3 1/2 slices each

Step-by-step explanation:

98/28=3.5

Answer:

Every student will get 3 to 4 slices of pizza

Step-by-step explanation:

This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.

Hope this helped

Answer:

[see below]

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

'c' will be the hypotenuse.

The hypotenuse is 15 cm.  One of the legs is 5 cm.

[tex]5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237[/tex]

14.1421356237 ≈ 14.1

The other leg should be about 14.1 cm.

Hope this helps.

The length of the other leg is 14.14 cm rounded to two decimal places.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, The hypotenuse of a right triangle measures 15 cm, and one of its legs measures 5 cm.

We know,

Hypotenuse² = Base² + Adjacent².

Therefore,

15² = 5² + Adjacent².

Adjacent = √(225 - 25).

Adjacent = √200.

Adjacent = 14.14.

learn more about Pythagoras's theorem here :

https://brainly.com/question/10174253

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Answer:

The slope is 2. It represents the price of the cookies.

Step-by-step explanation:

The slope is 2 because its in frount of the x and 2 is the price of the cookies.

Answer:

multiply by three

Step-by-step explanation:

Step-by-step explanation:

1 x 3 = 3 x 3 = 9 x 3 = 27

=> Pattern rule = [tex]3^{n-1}[/tex]

=> The next three numbers = 81 , 243 , 729

Answer:

6(d - 5)

Step-by-step explanation:

Answer:

d-30

Step-by-step explanation

6*5 the do d- that which is d-30

Answer: The correct option is A: $2.00

Step-by-step explanation:

The question should be:

"The bill at the restaurant was $18.79 estimate the amount to leave as a 10% tip. A. $2.00 B. $3.00 C. $9.00 D. $21.00"

The general case is:

When we have a quantity A (where A is the 100%) the X% of A is:

(X%/100%)*A

In this problem, we have a bill of $18,79 and we want to leave a 10% tip.

Then $18,79 is the 100% we want to see how much is the 10% of $18,79

If we use the above equation we get:

Tip = (10%/100%)*$18,79 = $1,879

The option that approaches the best to this amount is option A, $2.00

Then the tip should be $2

The correct option is A.

6 hrs x 60 min = 360 min

1170/360=3.25 laps/min

Answer: C -7/3

Step-by-step explanation: Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)

Answer:

I think when u substitute the order pair for x and y Into the equation the y is gonna be les than the x + 10

Step-by-step explanation:

K so am confused abt ur question but here

example (2,5)

y < x + 10

substitute 2 for x and 5 for y

5 < 2 + 10

5 < 12

y is less than x + 10

Answer

4, 7, 5, 10, 13, .......

Step-by-step explanation:

the only numbers that are impossible to get are the non-multiples of 3 and 8

and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to

Answer:

abc + bca + cab

abc(1+1+1)

3×18

54

Answer:

54

Step-by-step explanation:

a + b + c = 18

abc + bca + cab = ???

18 / 3 = 6

a = ? = 6

b = ? = 6

c = ? = 6

(6 + 6 + 6) + (6 + 6 + 6) + (6 + 6 + 6)

(18) + (18) + (18)

abc + bca + cab = 54

Answer:

4x^2+12x+9

Step-by-step explanation:

(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9

Answer:

40

Step-by-step explanation:

80+60+40=180

There is 20 more of each type of apple

Answer:

184 D

Step-by-step explanation:

A sample size of 184, is more likely to provide an estimate closest to the actual parameter value of the population.

Option D is the correct answer.

It is typically unknown and can only be estimated using sample data.

The goal of statistical inference is to use the information in a sample to make inferences or d

A population parameter is a numerical value that describes a characteristic of a population, such as the mean or standard deviation.

We have,

The estimate obtained from a larger sample size is likely to be closer to the actual parameter value of a population.

This is because a larger sample size reduces the effects of sampling variability and random errors, resulting in a more accurate estimate of the population parameter.

Thus,

A sample size of 184, is more likely to provide an estimate closest to the actual parameter value of the population.

Learn more about the parameter value of a population here:

https://brainly.com/question/26661693

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Answer:

I think that the answer is either B or C

Step-by-step explanation:

I concluded to this answer simply by looking at where the lines were placed.

Remember that if a line is not touching, but next to another line, they are parallel to each other? Well, that doesn't change here. since, {m angle 1} and {m angle 2} added together equal 180, I would believe that the answer is C, but I may be wrong.

Well, I hope that helps :)

Answer:

x=7

Step-by-step explanation:

f(x) =g(x)

12-2=x+3

10=x+3

10-3=x

x=7

Answer:

17 - 6j / 5

Step-by-step explanation:

Answer:

degree 8

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the variable in the polynomial.

6x³[tex]y^{5}[/tex] ← has degree 3 + 5 = 8

8[tex]y^{6}[/tex] ← has degree 6

Thus the polynomial is of degree 8