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Degger [83]
3 years ago
14

If the sum of a number and 6 is multiplied by 5, the result is same as 9 times the number decreased by 2. find the number.

Mathematics
1 answer:
kogti [31]3 years ago
3 0
Let's do an equation. 5(x+6)=9x-2. Now distribute into parentheses. 5x + 30=9x-2. Now -5x on both sides. New equation is 4x-2=30. Add 2 on both sides. 4x=28. Now divide by 4. X=8. Your number is 8
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Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do
musickatia [10]

Answer:

1. 16\ onions

2. 4,040.91\ kg

Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since 1\ lb=453.592\ g, we can make the following conversion:

(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g

Then, the number of onions Bill needs is:

(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions ≈ 16\ onions

2.  Since 1\ kg=2.20462\ lb, we can make the following conversion:

(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg

 Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg

6 0
2 years ago
The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would
slava [35]

Answer: 12 pounds.

Step-by-step explanation:

To solve this question, we'll use the direct proportion which is.

y = kx

Where,

y = weight on moon = 48 pounds

x = weight on Earth = 300 pounds

k = Unknown

y = kx

48 = 300k

k = 48/300

k = 0.16

The weight that a 75 pound object on Earth would weigh on the moon will be:

y = kx

where,

y = weight on moon = Unknown

k = 0.16

x = weight on Earth = 75 pounds

y = kx

y= 0.16 × 75

y = 12 pounds

The weight on the moon will be 12 pounds.

7 0
3 years ago
What time is four past eight at night
Juli2301 [7.4K]

Answer:

8:04 pm

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Question
AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

H_0:\mu = 5\\H_a:\mu \neq 5

Sample mean = \bar{x}=4.85

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,t_{(df,\alpha)}=t_{7,0.05}=2.365

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0
3 years ago
Use the data set to find the slope and y-intercept.
nika2105 [10]
Y-intercept =12
Slope : y2-Y1/x2-x1
8-10/2-1
Slope : -2
3 0
2 years ago
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