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Setler [38]
4 years ago
11

Someone plz help me. I'm really confused.

Mathematics
2 answers:
RUDIKE [14]4 years ago
7 0

Answer:

1. 50:1

50 ounces of gas per 1 ounce of oil has a 50:1 gas-to-oil ratio

——————————

2. $0.41

Divide $4.92 by a dozen (12) to get the amount per apple

4.92 / 12 = 0.41

——————————

3. 9

9/10 of a mile per minute means the car will travel 9 miles in 10 minutes. This is represented by a ratio of 9:10 or 9/10.

——————————

4. 3

Divide 183 by 61 to get the number of pages per minute

183 / 61 = 3

——————————

5. 7/8

7 boats per 8 days means that 7/8 of a boat can be made in a day. This is represented by a ratio of 7:8 or 7/8.

——————————

6. 72

Divide 288 by 4 to get the number of miles per hour.

288 / 4 = 72

——————————

7. 4/5

4 cups of sugar for every 5 cups of flour means that 4/5 cups of sugar is for every cup of flour. This is represented by the ratio 4:5 or 4/5

tatuchka [14]4 years ago
4 0

Answer:

2) 1 dozen apple ( 12 apples ) = $4.92

1 apple = $4.92/12

= $0.41

3) distance = speed × time

= 9/10 × 10

= 9 miles

4) 61 minutes = 183 pages

1 minute = 3 pages

5) 8 days = 7 boats

1 day = 7/8 boats

6) speed = distance/ time

= 288/4

= 72 miles/hour

7) 5 cup of flour = 4 cups of sugar

1 cup of flour = 4/5 cup of sugar

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
I need helpI need helpI need helpI need helpI need helpI need helpI need helpI need help
Y_Kistochka [10]

Answer:

2

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
Read 2 more answers
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes fo
Soloha48 [4]

Answer:

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Step-by-step explanation:

Let

x ------> the number of pounds of apples

(x-2) -----> the number of pounds of grapes

we know that

Solve for x

 

so

therefore

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

4 0
3 years ago
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Solve the simultaneous equations<br>8x – 3y = 30<br>3x + y = 7​
hodyreva [135]
Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2

​

6 0
3 years ago
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