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3 years ago

4b-4=3 b+3 What’s b=

Mathematics

2 answers:

krek1111 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

4b-4=3b+3

-3b. -3b

b-4=3

+4. +4

b=7

julia-pushkina [17]3 years ago

7 0

Answer:

b = 7

Step-by-step explanation:

4b - 4 = 3b + 3

4b - 3b = 3 + 4

b = 7

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How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy

lisov135 [29]

Answer:

$300\; \rm lb$ .

Step-by-step explanation:

Let $x$ represent the mass (in pounds) of that $15\%$ copper alloy required, such that the final mixture would contain $25.5\%$ copper by mass.

Consider: if $x$ pounds of that $15\%$ copper alloy is mixed with $700$ pounds that $30\%$ copper alloy, what would be the mass of copper in the mixture?

Mass of copper in $x$ pounds of that $15\%$ copper alloy: $(0.15\, x)\; \rm lb$ .
Mass of copper in $700$ pounds of that $30\%$ copper alloy: $700 \times 0.30 = 210\; \rm lb$ .

Therefore, the mixture would contain $(210 + 0.15\, x) \; \rm lb$ of copper.

The mass of that mixture would be $(700 + x)\; \rm lb$ . The mass fraction of copper in that mixture would be:

$\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%$ .

This ratio is supposed to be equal to $25.5\%$ . These two pieces of equations combine to give an equation about $x$ :

$\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%$ .

$\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255$ .

Simplify and solve for $x$ :

$210 + 0.15\, x= 0.255\, (700 + x)$ .

$(0.255 - 0.15)\, x= 210 - 0.255 \times 700$ .

$\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300$ .

Therefore, $300\; \rm lb$ of that $15\%$ alloy would be required.

4 0

3 years ago

3. Use congruent triangles to find side lengths.

tatyana61 [14]

Answer:

Rahul reads 20 pages of a story book everyday and finish it in 12 days Ram is a slow reader and work for two days he was then joined by b find the total time taken to finish the work?

7 0

3 years ago

If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9

Olenka [21]

Answer:

4x2-9

Step-by-step explanation:

it would be that because the number is in the c acis

8 0

3 years ago

Subtract 8 from 10, then add n to the result

ohaa [14]

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

6 0

2 years ago

Read 2 more answers

In a certain exam of grade ten, 75% students got high score in mathematics, 65%

faltersainse [42]

(i) The percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

<h3>What is probability?</h3>

The probability exists in the analysis of the possibilities of happening of an outcome, which exists acquired by the ratio between favorable cases and possible cases.

The number of students who got high scores in Mathematics was 75%.

The number of students who got high scores in English was 65%.

(i) The percentage of students who got high scores in both the subjects

100% - 6% = 94%

(75% + 65%) - 94%

= 140% - 94%

= 46%

Therefore, the percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam

= 300 $*$ 46%

= 300 $*$ (46 / 100)

= 300 $*$ 0.46

= 138.

Therefore, the total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ9

6 0

2 years ago