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erik [133]
3 years ago
13

Please help with this simultaneous equation you can use any method(Only number 6)

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

Pencil: $0.60 Rubber: $0.48

Step-by-step explanation:

Let the cost of a pencil be p and the cost of a rubber be r.

p+r=1.08  (Equation 1)

4p=5r  (Equation 2)

Divide both sides by 4:

p=\frac{5}{4} r

Substitute this into Equation 1:

\frac{5}{4} r+r=1.08

Multiply both sides by 4:

\frac{5}{4}r* \:4+r* \:4=1.08*4

5r+4r=4.32

9r=4.32

Divide both sides by 9:

\frac{9r}{9}=\frac{4.32}{9}

r=0.48

Since r + p = 1.08,

p=1.08=0.48=0.60

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If the hypotenuse of a right triangle is 11 and one leg is 2, what is the length of the other leg?
Lelu [443]

Answer:

Step-by-step explanation:

So 11 times 2=22 so you times 11 times 2 on all sides so the answers is 22

5 0
3 years ago
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4. Suppose a security light is set into the ground and aims its light at the top of the building. The angle of elevation of the
brilliants [131]

Answer:

a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft

b) The length of the beam is approximately: 10.4 ft

Step-by-step explanation:

First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:

tan(angle) = opposite side / adjacent side

We know the angle and the opposite side and we want to find the adjacent side:

adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft

In order to find the length of the light  beam, we use Pythagoras Theorem:

leg1²+leg2² = hyp²

Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:

hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft

7 0
3 years ago
HELP PLEASE
jonny [76]

All you need is the definition of conditional probability:

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}

So

P(C\mid D)=\dfrac{P(C\cap D)}{P(D)}\iff0.26=\dfrac{P(C\cap D)}{0.22}\implies P(C\cap D)=0.0572

P(D\mid C)=\dfrac{P(C\cap D)}{P(C)}\iff0.17=\dfrac{0.0572}{P(C)}\implies P(C)\approx0.34

and the answer would be B.

7 0
4 years ago
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Create at least two word problems that involve addition, subtraction, multiplication and division.
Nesterboy [21]

Answer:

Here are the word problems! Revise them as you like

Step-by-step explanation:

1. Samantha had 8 doughnuts and her sneaky little brother tommy stole 3 of them! Samantha wants to get back at Tommy for stealing her doughnuts so she devises a plan to prank him. She will prank him the total number of how many doughnuts are left. How many doughnuts are left?

2. Charlie and her little sister Chrissy are going to an amusement park the following day however Chrissy catches a cold and cannot go, causing the trip to come to a full close. Charlie wants to cheer up Chrissy while she rests in bed so she decides to put on a funny little show featuring everything Chrissy finds to be hilarious. Bathroom jokes, yt videos of people in pain, and just plain video game logic. (Like why are the vents so big in fnaf what happened to the small ones??) Charlie needs a few items to use for the show, (phone, box of jokes and pranks) however she needs 20$ to buy a box of jokes and pranks and she only has 15$. How much more money will she need?

Hope this helps (tried to keep it as appropriate as possible)

Dont forget to smash that heart at the bottom!

Plz Mark Brainliest

Have a good day!

Youre amazing! <3

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3 years ago
Variances indicate a.the cause of the variance. b.who is responsible for the variance. c.when the variance should be investigate
Nezavi [6.7K]

Option c. is the correct answer.

When the variance should be investigated.

A variance is the difference between a result's actual value and what was anticipated or budgeted. Variances can be either positive or negative. When the actual is higher than the projected or budgeted amount, a favorable variance occurs. The variance is unfavorable when actuals fall short of the amounts allocated in the budget. A variance therefore shows whether or not the actual performance is proceeding as expected.

While,

Option a. is inaccurate. As, the cause of the variance can vary, depending on factors like changes in delivery costs, market costs, production techniques, the use of subpar materials, seasonal factors, or even a simple mistake. Therefore, additional research and subsequent actions are needed to identify the cause of the variance. The cause of a variance cannot be identified by the variance itself.

Option b. is inaccurate. A variance only shows the discrepancy between the anticipated and actual amounts. It makes no mention of who is to blame for the deviation.

Option d. is inaccurate. After variances are identified, one of the most important steps is to investigate them. When actual performances significantly deviate from anticipated outcomes, variations are typically investigated.

Find more on Variance at : brainly.com/question/13287252

#SPJ4

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