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2 years ago

19) Caculate the unit rate. Driving 95 miles on 3 gallons of

Mathematics

1 answer:

Alona [7]2 years ago

8 0

Answer:

31.6666666 miles / gallon

Step-by-step explanation:

Take the miles and divide by the gallons

95 miles / 3 gallons

31.6666666 miles / gallon

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2 years ago

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Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

5,3 = 28 7,6 = 55 4,5 = 21 3,8 = ?

Bond [772]

Answer:

Step-by-step explanation:

3×3+8

i applied BODMASS RULE

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1 year ago

A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they fi

a_sh-v [17]

In unit of batches over days, let r be the planned rate and R be the actual increased rate. The difference between R and r is described as 10 shirts per day.

R-r=10

Rate Time Batches

Planned r 8 1

Actual R 7 1

$\left[\begin{array}{c}r=1/8&R=1/7&R-r=HowManyBatchesInTenShirts\end{array}\right]$

$1/7-1/8$ , the number of batches equivalent to 10 shirts.

$(1/56)*Batches=10*Shirts$

OneBatch=560*Shirts

Hope This Helps!!!

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2 years ago

I need to know all the answers

Scilla [17]

Answer: that’s all it says.

Step-by-step explanation:

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3 years ago