MATHEMATICS MIDDLE SCHOOL

4) Mike bought 2 cups, 1 bowl and 2 plates at a store. The cups cost $2.70 each, the bowl cost$1.75 and the plates were each $2.35. If he paid with a twenty dollar bill, how much
change should he get back?

Answers

Answer 1
Answer:

answer: $8.15

Step-by-step explanation:

well if Mike bought two cups and each cup cost $2.70 x 2

and since you only bought one bowl it only cost $1.75 and plates were each $2.35 x 2

you will get a total of $11.85

$20 - $11.85 = $8.15

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Two tenths is equal to what in fractions
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How many different integers can have the same absolute
Kara buys 24 bagels. Ten are whole wheat. What fraction of the bagels are wheat? Write in simplest form.
What mathematical operation does a fraction represent?

Find all possible value of the given variable 1.h²+5h=0
2.z²-z=0
3.m²+13m+40=0
4.z²-3z=0
5.q²+7q=0
6.k²+2k=0
7.x²-3x-70=0
8.q²+7q-60=0
9.z²+9z-36=0
10.d²-13d+22=0

Answers

1.\n \n h^2+5h=0 \n \nh(x+5)=0\n \nx=0 \ \ \ or \ \ \ x+5 =0\ \ |-5\n \nx+5-5=0-5\n \nx=0 \ \ \ or \ \ \ x=-5


2.\n \n z^2-z=0\n \nz(x-1)=0\n \nz=0 \ \ \ or \ \ \ z-1 =0 \ \ | +1\n \nz-1+1 =0 +1 \n \nx=0 \ \ \ or \ \ \ z=1


3.\n \nm^2+13m+40=0 \n \na=1 ,\ b=13, \ c=40 \n \n\Delta =b^2-4ac =13^2-4\cdot 1\cdot 40=169 - 1600=-1431 \n \nand \ we \ know \ when \ \Delta \ is \ negative, \ theres \ no \solution


4.\n \nz^2-3z=0 \n \n (z-3)=0\n \nz=0 \ \ \ or \ \ \ z-3 =0\ \ |+3\n \n z-3+3=0+3\n \nz=0 \ \ \ or \ \ \ z=3


5.\n \nq^2+7q=0 \n \nq(q+7)=0\n \nq=0 \ \ \ or \ \ \ q+7 =0\ \ |-7\n \nq+7-7=0-7\n \nq=0 \ \ \ or \ \ \ q=-7


6.\n \nk^2+2k=0\n \nk(k+2)=0\n \nk=0 \ \ \ or \ \ \ k+2 =0\ \ |-2\n \nk+2-2=0-2\n \nk=0 \ \ \ or \ \ \ k=-2


7. \n \n x^2-3x-70=0 \n \na=1,\ b=-3, \ c=-70 \n \n\Delta =b^2-4ac = (-3)^2-4\cdot 1\cdot (-70)= 9+280=289\n \n x_(1)=(-b-√(\Delta) )/(2a)=(3-√(289))/(2 )=( 3-17)/(2)=(-14)/(2)=-7

x_(2)=(-b+√(\Delta) )/(2a)=(3+√(289))/(2 )=( 3+17)/(2)=(20)/(2)=10\n \n(x+7)(x-10)=0


8.\n \nq^2+7q-60=0 \n \na=1,\ b=7, \ q=-60 \n \n\Delta =b^2-4ac = 7^2-4\cdot 1\cdot (-60)=49+240=289 \n \n x_(1)=(-b-√(\Delta) )/(2a)=(-7-√(289))/(2 )=( -7-17)/(2)=(-24)/(2)=-12

x_(2)=(-b+√(\Delta) )/(2a)=(-7+√(289))/(2 )=( -7+17)/(2)=( 10)/(2)= 5\n \n(x+12)(x-5)=0


9.\n \nz^2+9z-36=0 \n \na=1,\ b=9, \ q=-36 \n \n\Delta =b^2-4ac = 9^2-4\cdot 1\cdot (-36)= 81+144=225\n \n x_(1)=(-b-√(\Delta) )/(2a)=(-9-√(225))/(2 )=( -9-15)/(2)=(-24)/(2)=-12

x_(2)=(-b+√(\Delta) )/(2a)=(-9+√(225))/(2 )=( -9+15)/(2)=(6)/(2)=3\n \n(x+11)(x-3)=0


10.\n \nd^2-13d+22=0 \n \na=1,\ b=-13, \ q=22 \n \n\Delta =b^2-4ac = (-13)^2-4\cdot 1\cdot 22= 169-88=81\n \n d_(1)=(-b-√(\Delta) )/(2a)=(13-√(81))/(2 )=( 13-9)/(2)=(4)/(2)=2

d_(2)=(-b+√(\Delta) )/(2a)=(13+√(81))/(2 )=( 13+9)/(2)=(22)/(2)=11\n \n(d-2)(d-11)=0

Draq is painting a rectangular wall that is 15 ft. Long and 8ft. High. The wall has three Windows, each measuring 3 ft. by 4ft. How many square feet must be painted?

Answers

Total area of rectangular wall = 8ft * 15ft = 120 ft²

Each window area = 3ft *4ft = 12 ft²

For the three windows = 3 * 12 = 36 ft²

Area that must be painted = 120ft² - 36ft²  = 84 ft²     

An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite. A) 38 square inches
B) 66.5 square inches
C) 114 square inches
D) 180.5 square inches

Answers

I hope this helps you




(9,5+9,5).7/2+(9,5+9,5).12/2



19.3,5+19.6


19.9,5

180,5

Write the ratio 69:75 as a fraction, decimal,and a percent.

Answers

As a fraction, 69:75 would become 96/75
As a decimal 69:75 would become 0.92
As a percentage 69:75 would become 92%
Hope this helps :) 
Fraction:- 

To put 69:65 as a fraction all we need to do is take the first number (69) and put it on the top as the numerator and the 2nd number (75) and put it at the bottom.

 69
------
 75

Decimal:-

To get a fraction in to a decimal we need to divide the numerator by the denominator.


69 ÷ 75 = 0.92


Percent:-

To take this to percent we will see the decimal. We will move the decimal 2 points to get over answer.

0.92
09.2
092
92%


So,
Fraction :- 69/75.
Decimal:- 0.92
Percent:- 92%

Hope I helped ya!!

Can someone help me please

Answers

Answer: If you chose your integer as -5:

a. -10

b. -5

c. 35

Step-by-step explanation:

Keyanna saved $75 this summer by babysitting. After school, she makes $10 a week babysitting. a) Write an equation for the amount, A, of money that she will have after w weeks.
b) How much will she have after 5 weeks?
c) How many weeks until she has $255?

Answers

Given:
Savings : $75
Babysitting earnings : $10 a week.

a) A = $75 + $10w

b) A = $75 + $10 * 5 weeks
    A = $75 + $50 
    A = $125

c) A = $75 + $10w
  $255 = $75 + $10w
  $255 - $75 = $10w
  $180 = $10w 
  $180/$10 = w
   18 = w
Keyanna needs to babysit for 18 weeks.
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