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Anton [14]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0
Hello! i'm not quite sure if this is the answer, but i believe it would be 76. I'm not that good with angles, but i'm trying my best to help! I hope the answer helped you! i'm sorry if i get it wrong though. If you have any questions, pm me! thanks!
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What is the value of x in the equation
chubhunter [2.5K]

Well I solved it and This is what i got

3 0
3 years ago
How many gallons of a 90% antifreeze solution must be mixed with 90 gallons of 20% antifreeze to get a mixture that is 80% antif
lozanna [386]

Answer:

540

Step-by-step explanation:

Amount of antifreeze in the 90% solution + amount of antifreeze in the 20% solution = amount of antifreeze in the 80% solution

0.90 x + 0.20 (90) = 0.80 (x + 90)

0.90 x + 18 = 0.80 x + 72

0.10 x = 54

x = 540

You need 540 gallons of 90% antifreeze solution.

7 0
3 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Dennis has three identical ​cylinders​ filled with water. How many ​cones should he be able to fill with the water if the cones
Brut [27]

Answer:

3 cylinder will fill 9 cones with water

Step-by-step explanation:

This problem bothers on mensuration of slides, cone and cylinder

We know that the

Volume of a cylinder = πr²h

Volume of a cone = 1/3(πr²h)

Given that both cylinder and cone has same height and radius

From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume

So if 1 cylinder will fill 3 cones

Then 3 cylinders will fill x cones

By cross multiplication we have

x= 3*3cones

x= 9 cones

Hence 3 cylinder will fill 9 cones with water

3 0
3 years ago
Read 2 more answers
Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
Alborosie
Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup
3 0
3 years ago
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