MATHEMATICS HIGH SCHOOL

Please help me this is due in 2 hours you need to explain your answer plzzzzzz???????!!!!!!!

Answers

Answer 1

Answer:

Answer:

1) one muffin costs $1.50

one quart of milk costs $3.00

2) 10 videos, 30 CDs

Step-by-step explanation:

m = cost of one muffin

q = cost of one quart of milk

System of equations:

3m + 1q = 7.5

8m + 2q = 18

I multiplied the first equation by -2 to eliminate the 'q' values

-6m - 2q = -15

+ 8m + 2q = 18

2m = 3

m = 3/2

find 'q':

3(3/2) + q = 7.5

9/2 + q = 15/2

q = 6/2 or 3

c = # of CDs sold

v = # of videos sold

System of equations:

c + v = 40

4c + 6v = 180

I solved first equation for 'c' to get c = 40 - v

4(40-v) + 6v = 180

160 - 4v + 6v = 180

2v = 20

v = 10

10 + c = 40

c = 30

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(17 PTS)
GEOMETRY QUESTIONS, PLEASE HELP!

Answers

14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.

15.
Angles 1 and 8 are congruent, because they are alternate exterior angles

16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5

17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0

18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3

19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
m = -1
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
m = 1
Perpendicular, because the slopes are opposite reciprocals.

20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
m = 2
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
m = 3 / 2
Neither, because the slopes are different.

21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
m = -5/2
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
m = 2/5
Perpendicular, because the slopes are opposite reciprocals.

22.
M = (-2, 2) - N = (2, 2)
Horizontal line
m = 0
O = (3, 0) - P = (-3, 0)
Horizontal line
m = 0
Parallel, because the slopes are the same.

23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.

14. Supplementary
15. Congruent

16. $m = (y_2 - y_1)/(x_2 - x_1) = (7 - 2)/(4 - 5) = (5)/(-1) = -5 \n\ny - y_1 = m(x - x_1) \ny - 2 = -5(x - 5) \ny - 2 = -5(x)+ 5(5) \ny - 2 = -5x + 25 \ny = -5x + 27$

17. $m = (y_2 - y_1)/(x_2 - x_1) = (3 - 3)/(-5 - 7) = (0)/(-12) = 0 \n\ny - y_1 = m(x - x_1) \ny - 3 = 0(x - 7) \ny - 3 = 0(x) - 0(7) \ny - 3 = 0x - 0 \ny = 0x + 3$

18. $m = (y_2 - y_1)/(x_2 - x_1) = (1 - (-2))/(5 - (-4)) = (1 + 2)/(5 + 4) = (3)/(9) = (1)/(3) \n\ny - y_1 = m(x - x_1) \ny - (-2) = (1)/(3)(x - (-4)) \ny + 2 = (1)/(3)(x + 4) \ny + 2 = (1)/(3)(x) + (1)/(3)(4) \ny + 2 = (1)/(3)x + 1(1)/(3) \ny = (1)/(3)x - (2)/(3)$

19. Perpendicular
20. Neither
21. Perpendicular
22. Parallel

23. Given: Transversal r cuts lines
   l and m: <2 = <1
      Prove: l || m

Statements | Reasons
1. <2 ≡ <1 | 1. They are congruent.
2. <1 ≡ <3 | 2. They are congruent.
3. <2 ≡ <3 | 3. They are parallel.
4. l || m    | 4. They are parallel.

Admission to an amusement park is $10 for children and $15 for adults. On Saturday 1,300 people enter the park and $17,250 is collected. How many children and adults entered the park?

Answers

simple
suppose number of adults entered park on Saturday be = x
number of children entered park on Saturday be = y
so we get equation
x + y =1300
x= 1300 - y { equation 1}

now for each children ticket is 10$ and y number of children visited park on Saturday . so children collection on Saturday = 10y
similarly adult collection =15x
15x+10y=17250
divide all by 5
3x+2y=3450
put x = 1300 -y from equation 1 here
3(1300-y) +2y=3450
3900 - 3y +2y = 3450
3900 - y =3450
3900-3450 = y
450= y
so number of children visited park on saturday = 450
number of adult visited park on saturday = 1300 - 450 =850

How do you estimate of 4 5/8 X 1/3

Answers

$4 (5)/(8) = (37)/(8)$
$(1)/(3) * 4 (5)/(8) = (1)/(3) * (37)/(8) = (37)/(24) = 1 (13)/(24)$

$4\frac58 \cdot \frac13 = \n \frac{37}8 \cdot \frac13=(37)/(24)=1(13)/(24)$

What is 14/10 as a decimal?

Answers

1.4 as:
14/10=7/5=1.4

Answer:

1.4

Step-by-step explanation:

Every week malik spends 5 2/15 hours doing his math homework and 2 13/30 hours doing his science homework. Estimate how much more time malik spends on his math homework.

Answers

This is Simple, Just Subtract Time taken by Science homework from time taken by Maths homework..

$= 5 (2)/(15) - 2 (13)/(30) \n = (150)/(15) - (73)/(30) \n = (300 - 73)/(30) \n = (227)/(30) \n = 7 (17)/(30) \: hours \: more.$

!! Hope It Helps !!

What multiplies to 42 and adds to -27

Answers

Consider ways to multiply to get 42. Then see if the numbers can be used to make -27.

42 = 21 × 2...not going to work.
42 = 14 × 3...not going to work. (Though -14 and -3 add to -17)
42 = 7 × 6...not going to work.

There are no whole number solutions to this question.