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TEA [102]
3 years ago
8

Jerome is cooking dinner. He needs 7 ounces of broccoli for each person . Jerome is not sure how many people will come for dinne

r. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner
Mathematics
1 answer:
Burka [1]3 years ago
7 0
If x is the number of people that come over to dinner, and y is how much ounces of broccoli he needs, then this is your equation:
7x = y is your answer

Because he needs 7 ounces for each person, to find the number of ounces he needs, you multiply 7 by the number of people.
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the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
Ulleksa [173]

with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0
1 year ago
Help I Need Help Asap!
Leni [432]

Answer:

40° and 140° (with x = -10)

Step-by-step explanation:

Since the angles are supplementary (when added, equal 180°), you can add the two angles together to get (-18x)°. 180/-18 = -10 for x. Fill in -10 for x in both expressions. (-14 • -10)= 140° and (-4 • -10)- 40°. 140+40=180

4 0
3 years ago
5 x [(28-4) - (4 + 3)]​
igomit [66]

Answer:

85x

Step-by-step explanation:

Add 4 and 3 . 5 x ( 28 − 4 − 1 * 7 ) Multiply − 1 by 7.

5 x ( 28 − 4 − 7 )

Simplify the expression. Subtract 4 from 28.

5 x ( 24 − 7 )

Subtract 7 from 24.

5 x * 17

Multiply 17 by 5.

85 x

8 0
3 years ago
Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha
solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

p = (0.98)^6*0.02 = 0.0177

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with p = 0.02

Expected number before 1 defective(n = 1). So

E = \frac{n}{p} = \frac{1}{0.02} = 50

Variance is:

V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

5 0
3 years ago
A large bowl holds 5 2/3 cups of punch. Some more punch is added to the bowl to make a total of 10 cups of punch. Let represent
tatuchka [14]

Answer:

4 1/3 cups

Step-by-step explanation:

All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.

5 0
2 years ago
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