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Natali [406]
3 years ago
15

What is the value of 9x - 4y if x = 3 and y = 2​

Mathematics
2 answers:
Flura [38]3 years ago
5 0

Answer:

19

Step-by-step explanation:

plug both values in

azamat3 years ago
5 0

Answer:

19

Step-by-step explanation:

<em><u>Since it gives you the values of x and y, all you need to do is plug in the numbers, like so:</u></em>

9x - 4y

9(3) - 4(2)

27 - 8

19

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The cuboid and the triangular prism have the same volume. Find the value of x.
elena-14-01-66 [18.8K]

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = \frac{1}{2} bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

8 0
3 years ago
In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad
leva [86]
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
7 0
3 years ago
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The product of the ages of all teenagers at Joyce’s birthday party last Saturday was 2971987200. The number of 18 year olds who
Elenna [48]

Click here to see ALL problems on Age Word Problems

 Question 1128242: The product of the three ages, in years of three teenagers is 4590. None of the teens are the same ages. What are the ages of the three teen ages? (Use guess and check)

A hat and a jacket cost $100. The jacket cost $90 more than the hat. What are the cost of the hat and the cost of the jacket?

Melody picks a number. She doubles the number, squares are result, divide the square by 3 subtracts 30 from the quotient and gets 18. What are the possible numbers that Melody could have picked? What operation does Melody perform that prevents us from knowing 100% certainly which she picked?

(Scroll Down for Answer!)

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Answer by greenestamps(9721) About Me  (Show Source):

You can put this solution on YOUR website!

These are three very different problems. The rules of the forum are one problem per post. Please follow those rules in the future.

(1) Certainly guess and check is the easiest way to solve this problem, since you know the three ages are whole numbers. But you should be able to get to the solution with very few if any wrong "guesses" by making your guesses logically.

The product of the three ages is a multiple of 10, and therefore a multiple of 5; since all three ages are in the teens, one of them has to be 15. Then 4590/15 = 306.

You could do guess and check again from there. However, if you note that both the other ages have to be greater than 15, and you know the last digit of the product has to be "6", then the only possible pair of ages is 17 and 18. And indeed 17*18 is 306.

ANSWER: The ages are 15, 17, and 18.

(2) Here is an informal solution method using logical reasoning.

Take away the "extra" $90 that the jacket costs; you are left with a jacket and a hat that each cost the same, and the total is now $100-$90 = $10. That means each of them costs $5. Now add those extra $90 back on to the price of the jacket.

ANSWER: The jacket costs $95; the hat costs $5.

(3) Melody picks a number: Call it x.

 

She doubles the number: It is now 2x.

She squares are result: It is now (2x)^2 = 4x^2.

She divides the square by 3: It is now 4x^2/3.

She subtracts 30 from the quotient: It is now 4x^2/3-30.

The number she ends up with is 18.

Solve the equation that says 4x^2/3-30 = 18:

4x%5E2%2F3-30+=+18

4x%5E2%2F3+=+48

4x%5E2+=+144

x%5E2+=+36

x+=+6 or x+=+-6

ANSWER: The two possible starting numbers are 6 and -6. We get two possible answers because of the step where she squares the number.

6 0
3 years ago
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How to turn 2.96 into a mixed number
Alex Ar [27]
First, isolate the decimal. second, put it over the correct denominator based on the decimal place:   96/100.  Next, divide by a number that goes into both 96 and 100. 4 works.... 24/25. And that is your answer, after you add the original 2 back: 2 \frac{24}{25}
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3 years ago
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ABC = 25x + 34<br> CBD= 11x +23<br> Find ABD CBD and ABC
mote1985 [20]

The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

<h3>Bisection of angles</h3>

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given
the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Learn more on bisection of angles here: brainly.com/question/25770607

#SPJ1

5 0
1 year ago
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