#1 Shane bought 4 shirts for $17 and 4 pants. He spent a total of $71.
How much did each pant cost?


#2 Julie has 4 more apples than Sam. Julie and Sam have a total of 30
apples. Find the number of apples Julie has


Help me out please

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

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

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

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Answer:

ORANGE: 160

APPLE: 108°

GRAPE: 60

OTHER: 32

Step-by-step explanation:

THE SUM OF 40, 27, 15 AND 8 IS 90

90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES

TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!

Answer:

Step-by-step explanation:

Answer:

3 and 1/4

Step-by-step explanation:

Answer: Commutative Property of Multiplication/Addition

Step-by-step explanation:

The commutative property is simple

x + y = y + x

or for multiplication

x * y = y * x

Answer:

7.2

Step-by-step explanation:

The distance of FG is 7.211

Distance between two points (x1,y1) and (x2,y2) is given by:

PQ = √( x2 − x1 )² + ( y2 − y1 )². It is known as distance formula.

Given coordinates:

F(0, – 7) and G (-6, -3).

Using distance formula

= √(-6-0)² + (-3 +7)²

=√36+ 16

=√52

=7.211 units

Hence, the distance of FG is 7.211 units

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Answer:

x^2+10x-24

Step-by-step explanation:

Answer:

The slope of the line is 0 (there is no change in the y-axis)

Step-by-step explanation:

Here, we want to find the slope of the line that passes through the given points

We use a formula for this;

Mathematically;

m = y2-y1/x2-x1

Substituting the values;

m= (3.5-7/2)/3.5+4.5 = 0/8 = 0

The slope of the line is 0

Answer:

See SBS Explanation

Step-by-step explanation:

1. Produces a number that can be classified as an Irrational number.

A:  Square root of 2.

2. Produces a number that an be classified as a Rational number.

A: Square root of 4.

3. Rational number that can be classified as an integer.

A: Negative 2/1 (-2/1)

4. Rational number that produces a repeating decimal.

A: 5/9 (Decimal is 0.5 repeating or 0.555....)

5. Rational number that produces a terminating decimal.

A: 1/4 (Decimal is 0.25)

The money will each fundraiser need to raise in order to purchase the new net and equipment is $135.59. Therefore, option C is the correct answer.

Given that, the volleyball club need $842.36 to purchase the swing set and have received a $300.00 donation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the money will each fundraiser need to raise in order to purchase the new net and equipment be x.

Now, the remaining amount = 842.36 - 300.00

= $542.36

The remaining amount will be equally divided among 4 different fundraisers = x = 542.36/4

=135.59

The money will each fundraiser need to raise in order to purchase the new net and equipment is $135.59. Therefore, option C is the correct answer.

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Answer:

The equation for the proportional relationship is y = 2.8x. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Step-by-step explanation:

I hope this helps you :)

Answer:

13. 60

15. 200

Step-by-step explanation:

These are the answers because:

1) Since they are asking us to round to the tens place or the hundreds place we have to look at the ones digit and the tens digit.

2) For 13, the answer is 60 because the rounding digit is 5. Since the digit is 5, we have to round up the digit in the tens place. Therefore, it becomes 60.

3) For 15, the answer is 200 because the rounding digit is 3. Since the digit is 3, we have to keep the same number. Therefore, the answer is 200.

Hope this helps!

Answer:

A. -5 - 3x > 10

Step-by-step explanation:

x = -6

A. -5 - 3(-6) > 10

-5 + 18 = 13 > 10

true

B. -3 - 5(-6) < -14

-3 + 30 = 27 < -14

false

C. 1 - 2(-6) > 13

1 + 12 = 13 > 13

false

D. 2 - (-6) <-3

2 + 6 = 8 < -3

false

Answer: 41/20

Step-by-step explanation:

there is a possibility that this is incorrect bb srry

Answer:

The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;

1) A translation of 8 blocks to the right followed by  2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise

Step-by-step explanation:

Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.

Answer:

- 5

Step-by-step explanation:

Step 1:

2p - 3 = 3p + 2

Step 2:

2p = 3p + 2 + 3

Step 2:

2p = 3p + 5

Step 3:

- p = 5

Answer:

p = - 5

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

2p - 3 = 3p + 2

combine the like terms

-3 -2 = 3p -2p

-5 = p

Answer:

20

Step-by-step explanation:

The distance between two points on the number line is the absolute value of the difference of their coordinates.

coordinate of point D: 9

coordinate of point P: -11

Take the absolute value of their difference. It does not make a difference in which order you subtract the coordinates.

distance = |-11 - 9| = |-20| = 20

Answer: The distance is 20.

Answer:

Area = 20 cm²

Step-by-step explanation:

Area = width * length

area = 5cm * 4cm

area = 20 cm²

Answer:

20 cm

5x4 =20

length times width

Answer:

M=(-2,2)

Step-by-step explanation:

Xm= -4 + 0/2 --> -4/2

Ym= 7 + -3/2 --> 4/2

Step-by-step explanation:

you didn't give us the full question. what were the lengths of the worms found on Tuesday?

Answer:

coordinates of R(x,y) is R(6,-2).

Step-by-step explanation:

A. we know that

The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)

using a graph tool

see the attached figure

Step 1

Find the slope of the line PS

the slope is equal to

m=(y2-y1)/(x2-x1)

mPS=(-4-2)/(3+1)=-6/4=-3/2

Step 2

Find the equation of the line QR

we know that

PS and QR are parallel lines

so

their slopes are the same

mQR=-3/2

with mQR and the point Q(2,4) find the equation of the line

y-y1=m*(x-x1)

y-4=(-3/2)*(x-2)

y=(-3/2)*x+3+4--------> y=7-(3/2)*x

Step 3

Find the equation of the line SR

we know that

SR and QR are perpendicular lines

so

the product of their slopes is equal to minus one

mSR*mQR=-1

mSR=2/3

with mSR and the point S(3,-4) find the equation of the line SR

y-y1=m*(x-x1)

y+4=(2/3)*(x-3)

y=(2/3)*x-2-4---------> y=-6+(2/3)*x

Step 4

Find the intersection of the lines QR and SR

we know that

the intersection of the lines QR and SR is the point R

y=7-(3/2)*x------> equation 1

y=-6+(2/3)*x------> equation 2

equate equation 1 and equation 2

7-(3/2)*x=-6+(2/3)*x

7+6=(2/3)*x+(3/2)*x

13=(2/3)*x+(3/2)*x

Multiply by 6 both sides

6*13=4*x+9*x

13*x=6*13

x=6

find the value of y

y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4

y=-2

therefore, the coordinates of point R are (6,-2)

Answer:

nineteen million thirty four thousand six hundred

I think this is right

Step-by-step explanation:

Answer:

Nineteen million thirty four thousand six hundred

Step-by-step explanation:

Answer: D

Jaiden should have added zeroes to the ends of the shorter decimals to get 2.615 etc

Step-by-step explanation:

The numbers that have the same unit value but different digits in the decimal place can be ordered using place value.

The statement that describes Jaden's error is; Jaiden should have added

zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623,

then he should have compared them using place values.

Reasons:

The steps are;

(1) Comparing the digits to select the ones with the least amount of digits

(2) Comparing the digits in the place values of the numbers that equal number of digits

(3) Combining the list of the above comparison into one

Required:

To select the statement that describes Jaiden's error.

Solution:

The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.

The given numbers are;

2.615

2.65

2.7

2.623

The steps to order the numbers from least to greatest;

Then

Then

Next

The numbers 2.615, 2.623,2.650, 2.700,  are in the order from least to

greatest.

Therefore Jaiden's error is that Jaiden should have added zeros to each of

the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should

have compared them using place values.

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