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____ [38]
3 years ago
13

XY = 4x, YZ = 3x, and XZ = 42

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

x=6

XY=24 units

YZ=18 units

Step-by-step explanation:

we have that

Y is between X and Z

XZ=XY+YZ

substitute the given values and solve for x

42=4x+3x\\42=7x\\x=6

therefore

XY=4x=4(6)=24\ units\\YZ=3x=3(6)=18\ units

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H(a) = 3 - 2a find h(-3)
skelet666 [1.2K]

Answer:

h(-3)=9

Step-by-step explanation:

hope this helps

6 0
3 years ago
Read 2 more answers
You sell an automobile part for $9.98, which includes a $.40 sales tax. The article cost you $8.75.
Irina-Kira [14]

Answer:

9.5%

Step-by-step explanation:

Buying price of the part= $ 8.75

Selling price of the part= $ 9.98

sale tax= $0.40

Selling price before sale tax= $9.98-$ 0.40 = $ 9.58

Make-up amount charged= $9.58- $8.75 = $ 0.83

As a percentage= (0.83/ 8.75) ×100

=9.5%

7 0
3 years ago
A box of cereal contains 18 cups. Ben eats 2 1/4 cups every serving. How many servings can he eat?
g100num [7]
Ben can have 8 servings total!

Hope this helps! :)
4 0
4 years ago
3^3x+1= 81<br> Solve the exponential function
Reil [10]

Answer:

x=1

Step-by-step explanation:

3^ (3x+1) = 81

Rewrite 81 as a power of 3

3^4

3^ (3x+1) = 3^4

Since the bases are the same, the powers are the same

3x+1 =4

Subtract 1 from each side

3x+1-1 =4-1

3x=3

Divide by 3

3x/3 = 3/3

x =1

8 0
3 years ago
Q. The probability that a student passes a statistics test is 2/3 and the
kenny6666 [7]

Answer:

4/9 or 44.44%

Step-by-step explanation:

We have the following probabilities:

Probability of winning the statistical test = P (s) = 2/3

Probability of winning the mathematics and statistics test = P (s n m) = 14/45

Probability of winning at least one test = P (s u m) = 4/5

We have that, the probability of winning the mathematics test P (m) can be found in the following way:

P (s n m) = P (s) + P (m) - P (s u m)

replacing we have:

14/45 = 2/3 + P (m) - 4/5

P (m) = 14/45 - 2/3 + 4/5

p (m) = 4/9 = 0.444

Which is the same as there is a 44.44% probability that I will win the math test

5 0
3 years ago
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