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SpyIntel [72]
3 years ago
6

Please help me with these 5 problems!!!

Mathematics
1 answer:
zalisa [80]3 years ago
6 0

1. let the score on 1st test be = x

Given average is = 92

2nd tests scores are = 97 (assume this as y)

3rd test score = 89 (assume this as z)

Average = \frac{x+y+z}{3}

92=\frac{x+97+89}{3}

276=186+x

x=90

Hence, 1st day score was 90.

2. Let the original recipe made x cookies

As given she doubled her recipe so 2x cookies

Her brothers ate 8 cookies, this gives 2x-8 cookies left

She gave 2 dozen or 24 cookies to the neighbor and left with 12 cookies, it becomes 2x-8-24=12

This gives 2x=44

or x=22

Hence 1 recipe makes 22 cookies.

3. As given in the table,

Time used in total by boys = 255 minutes

Time used by girls in total = 213 minutes

Time used for school work by boys = 33 minutes

Time used by boys other than schoolwork = 255-33 = 222 minutes

Time used for school work by girls = 72 minutes

Time used by girls other than schoolwork = 213-72 = 141 minutes

How many more minutes per week do boys spend using the internet for purposes other than schoolwork then girls = 222-141 = 81 minutes

Hence, boys use 81 more minutes than girls for work other than schoolwork.

4. Total amount by two films = $775 million

Let x be the receipts of the second highest box office film.

Let x + 97 be the receipts of the highest one.

Equation becomes x+x+97=775

2x+97=775

2x=678

x=339

Hence highest receipt movie brought in 339+97=436

The film with highest receipts bought in $436 million.

5. Vice President elected in the year = 1944

Died in the year = 1972

Total time in between  = 1972-1944=28 years

Age at the time of death = 88

So, he was  elected 28 years back and that time his age was = 88-28=60

He was elected at the age of 60 years.

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
3 years ago
Tuan is playing a game, but the spinner is incomplete. If the numbers in the sections of the spinner represent the probabilities
ioda

The sum of the numbers should total to 1. Let us say that x is the missing number, therefore:

x + ¼ + ¼ + 1/5 = 1

x = 1 – ¼ - ¼ - 1/5

The numbers should have similar denominator:

x = 20/20 – 5/20 – 5/20 – 4/20

x = 6/20

<span>x = 3/10</span>

8 0
3 years ago
How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x
Pie

Answer:

Vertical movement: Move up 3 units

or

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x} + 3, then it has vertically moved up 3 units.

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x+3}, then it has moved horizontally left 3 units.

7 0
3 years ago
Read 2 more answers
Can someone please help!!!! Will mark brainliest!
Semenov [28]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Can u guys plz give me ALL the following answers to graph 1.
creativ13 [48]
Slope ~3
y intercept ~7
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2 years ago
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