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Juli2301 [7.4K]
3 years ago
8

2. What is the value of x? Show your work.

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Comparing the two similar triangles

JK/MN = JL/MP

25/30 = 20/(4X - 4)

CROSS MULTIPLY

25(4X - 4) = 30 × 20

100X - 100 = 600

COLLECTING LIKE TERMS

100X = 600 + 100

100X = 700

DIVIDING THROUGH BY 100

X = 700/100

X = 7

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Four business class railcars can hold a total of 260 passengers, How many passengers can travel per railcar?
belka [17]

Answer:

65.

Step-by-step explanation:

this is bc 260 divided by 4 is 65

4 0
3 years ago
Read 2 more answers
Which of the following is equivalent to (16^3/2)^1/2<br><br> 6<br> 8<br> 12<br> 64
Feliz [49]
The answer is 8 because 16^1.5 is 64 and 64^.5 is 8
7 0
3 years ago
Find the sum of the first 90 terms of the sequence –4, –1, 2, 5, 8, ...
VashaNatasha [74]

Answer:

Answer: Sum of first 90 terms is Option d. 11655

Step-by-step explanation:

We have to find the sum of first 90 terms of the sequence -4,-1,2,5,8......

First we find the 90th term of the sequence

As we know the formula A(n)= A(1)+(n-1)d

Given from the sequence

A(1) = (-4)

n=90

d = 3

So A(n) = -4+(90-1)3

            = (-4)+89×3

            = 263

Now we know formula for the sum of any sequence is

Sum S(n) = \frac{n}{2}(A(1)+A(n))

Now we know n= 90

A(1) = -4

A(n) =263

Now we put the value in the formula

S(n)= \frac{90}{2}(-4+263)

     = 45×259

     = 11655

4 0
3 years ago
Read 2 more answers
I'm not sure to do this.. Help me please.. Thank you
Paraphin [41]
So our original equations would be..
2y + 2(y - 4) = p \: (perimeter)
y \times (y - 4) = l \: (area)

(a) perimeter in terms of y
y = \frac{p + 8}{4}

(b) area in terms of y
*I'm actually not sure about b.. sorry*

(c) if perimeter = 28, find length
28 \div 4 = 7
7 \times 7 = 49
l (area)= 49
4 0
3 years ago
From a sample with n=32, the mean duration of a geyser's eruption is 3.81 minutes and the standard deviation is 1.07 minutes. Us
Damm [24]
Notice that

1.67=3.81-2\times1.07
5.95=3.81+2\times1.07

This means you are looking for

\mathbb P(1.67

Chebyshev's theorem states that for any constant k>0,

\mathbb P(|X-\mu|

which means

\mathbb P(1.67

In other words, at least 75% of the geysers will have eruptions lasting between 1.67 and 5.95 minutes. Out of 32 geysers, then, one can expect at least 24 of them to have eruptions with between these durations.
5 0
3 years ago
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