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miss Akunina [59]
3 years ago
13

Solve 6b - 1 = 4b + 11 for b.

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

b=6

Step-by-step explanation:

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Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,
almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

Hence your father will require 14.6 cups of sugar for the larger group

Learn more on ratio and proportions here: brainly.com/question/19994681

3 0
2 years ago
Pedro's Diner is open six days a week. His income for the first five days this week was
S_A_V [24]

Answer:

$330

Step-by-step explanation:

What is mean/average?

It is the "sum of all the numbers" divided by the "number of numbers".

An average of 200 for 6 numbers means:

Average=\frac{SUM}{NumberOfNumbers}\\200=\frac{SUM}{6}\\SUM=200*6\\SUM=1200

THus, if we were to add the 6 numbers, we would get "1200". Let the 6th number be x, so we can write:

120 + 110 + 200 + 300 + 140 + x = 1200

870 + x = 1200

x = 1200 - 870

x = 330

To make the average $200, Pedro needs to make $330 on 6th day.

6 0
3 years ago
If f(x) = 3x + 7, which of these is the inverse of f(x)?
dolphi86 [110]

Answer:

f-1(x)=x-7/3

Step-by-step explanation:

7 0
3 years ago
Find the side AB using the law of sines with the one of the sides 11 and the angles 82 and 44 degrees
Rasek [7]

Answer:

7.7

Step-by-step explanation: We are trying to find side c  or side AB

Using the law of sines formula,

a/sin a= b/sin b c/sin c we can solve for missing side.

We are  given side BC or side a which is 11

We also are given angle A is 82 degrees

Angle C is  44 degrees also.

So let set up a proportion.

11/sin 82= x/sin 44

11/sin 82× sin 44=x

x= 7.7

5 0
3 years ago
Read 2 more answers
Octavian became the emperor of Rome in 27 B.C. He ruled until his death in A.D. 14. How long did he rule as emperor?
Archy [21]
He ruled for 40 years (January, 27 B.C until August, AD 14)
6 0
3 years ago
Read 2 more answers
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