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DerKrebs [107]
3 years ago
15

On Wednesday evening Sonto spent 1/2 hour doing homework,45minutes doind housework,1 hour visiting friends and 1 1/2 hour televi

sion. Write this down the information as a ratio​
Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

On Wednesday evening Sonto spent 30 minutes doing homework, 45 minutes doing housework, 60 minutes visiting friends and 90 minutes watching television. Write this down the information as a ratio​

Step-by-step explanation:

Total amount of time = 225 minutes

2/15 Homework

1/5 Housework

4/15 Visiting friends

2/5 Watching TV

Whole number ratio

2 : 3 : 4 : 6

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Solve the compound inequality,
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Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6

(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)

7 0
3 years ago
The Super Bowl half time show lasts 30 minutes. If the half time show is 1/7 of the total game time, how many hours is the Super
gtnhenbr [62]

Answer:

3 1/2 hours.

Step-by-step explanation:

If the Half Time show is one-seventh of the show and lasts for 30 minutes, we can multiply that by 7 to get the total amount of minutes.

30 x 7 = 210

To convert the number of minutes to hours, 210 can be divided by 60 to result in a total of 3.5, therefore, the Super Bowl lasts for 3 1/2 hours.

5 0
3 years ago
A problem states: "There are 7 more girls than boys in a club. There are 23 members in the club in all. How many girls are there
Shtirlitz [24]

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5 0
2 years ago
Read 2 more answers
Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.
MAXImum [283]
Base= x
Height= 4+x


Area = (1/2)(x)(4+x) = 6

Hence, quadratic equation is,

(x)(8+2x) = 12
5 0
2 years ago
The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s2 + 2.45s - 30, where s is the spee
kozerog [31]
Highest mileage
m(s) = -0.025s2 + 2.45s - 30
This quadratic equation lokks like a upside down parabolla
So as it is a form of mileage gunction of speed, its maximum value should be K

The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>".
</span>

<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30
</span><span>h = <span>–b</span>/<span>2a</span> =  -2.45/2× -0.025=49</span><span>Put value of h to get K</span><span>k=-0.025(49)^2+2.45×(49)-30</span><span>k=  -30.025</span><span>k=  -</span>30.0<span>
</span></span>
6 0
3 years ago
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