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In-s [12.5K]
3 years ago
12

The first one I know but the other two I need help with

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

a) 44

b) 11

c) 4

Step-by-step explanation:

a) x + 46 = 90

   x = 90 - 46

   x = 44

b) 9x + 81 = 180

   9x = 180 - 81

   9x = 99

     x = 11

c) (5x + 30) + 40 = 90

   (5x + 30) = 90 - 40 = 50

    5x + 30 = 50

    5x = 50 - 30

    5x = 20

       x = 4

You might be interested in
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Dima020 [189]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ ≥ 50000

For the alternative hypothesis,

µ < 50000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = lifetime of the tyres

µ = mean lifetime

σ = standard deviation

n = number of samples

From the information given,

µ = 50000 miles

x = 45800 miles

σ = 8000

n = 29

z = (50000 - 45800)/(8000/√29) = - 2.83

Looking at the normal distribution table, the probability corresponding to the z score is 0.9977

Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.

6 0
3 years ago
Can someone help me plz and thank u
alexandr402 [8]

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

3 0
3 years ago
Kelly bought some stuffed animals for
Lynna [10]

Answer:

$27.79 - $8.32 = $19.47 Divided by $6.49 = 3

Step-by-step explanation:

Kelly bought 3 stuffed animals.

5 0
3 years ago
Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
weeeeeb [17]

Answer:

The answer is

<h2>( - 5 \: , \:  -  \frac{15}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

<h3>M = ( \frac{ - 4 - 6}{2}  , \:  \frac{ - 9 - 6}{2} ) \\  = ( -  \frac{10}{2} , -  \frac{15}{2} )</h3>

We have the final answer as

<h3>( - 5 \: , \:  -  \frac{15}{2} )</h3>

Hope this helps you

8 0
3 years ago
A brand new filled jar of jam is 10 cm tall and has a radius of 5 cm. Ann's family eats some of the jam one weekend and now the
weqwewe [10]
<span>Volume   =   </span><span>π <span>• r² • height
Volume = PI * 5^2 * 10
</span></span>
<span> <span> <span> Volume = 785.</span>4 cm^3
</span></span>
<span>Volume = PI * 5^2 * 4

</span> <span><span><span>Volume = 314.</span>2 cm^3

</span>Jam consumed = </span><span>785.4 cm^3 -314.2 cm^3</span>
Jam consumed = <span> <span> <span> 471.2 cm^3
answer is C

</span></span></span>
8 0
3 years ago
Read 2 more answers
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