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boyakko [2]
3 years ago
11

(Find common denominator first.) 3/2 + b=7/4

Mathematics
1 answer:
g100num [7]3 years ago
3 0

Answer:

b = 1/4

Step-by-step explanation:

  • Take the given fractions : 3/2 and 7/4 and find a common denominator.

We will use 4 as a common denominator.

  • In order for the denominator of 3/2 to get to 4, you need to multiply by 2.

3 × 2 = 6        2 × 2 = 4

  • New fraction: 6/4

<em>Now we have the equation 6/4 + b = 7/4</em>

<em />

  • 7/4 - 6/4 = 1/4
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Lamy can paint 84 portraits in 6 weeks. at this rate , how many portraits can he paint in 2 weeks
lilavasa [31]

Answer:

28 portraits

Step-by-step explanation:

Let's first figure out how many portraits Lamy can paint in 1 week, which is his <u>unit rate</u>. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.

In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is \frac{84 \text \: portraits}{6 \text \: weeks} = 14 paintings per week.

Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a <u>directly proportional relationship</u>, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.

Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.

Hope this helps!

7 0
2 years ago
a cone has a circular base with a diameter of 18 inches. the height of the cone is 40 inches what is the approximate lateral are
lana66690 [7]

Lateral Area of cone=1130.4 inches^2

Step-by-step explanation:

Diameter of circular base = 18 inches

Height of cone = 40 inches

Lateral Area of cone = ?

The formula used to find Lateral Area of cone is:

Lateral\,\,Area\,\.of\,\,cone=\pi rh

Since we know that r= d/2,

so, r = 18/2

r= 9

Putting values, we get:

Lateral\,\,Area\,\,of\,\,cone=\pi rh\\Lateral\,\,Area\,\,of\,\,cone=\pi *9*40\\Lateral\,\,Area\,\,of\,\,cone=1130.4 inches^2

So, Lateral Area of cone=1130.4 inches^2

Keywords: Lateral Area of cone

Learn more about Lateral Area of cone at:

  • brainly.com/question/3306327
  • brainly.com/question/4354581
  • brainly.com/question/4459688

#learnwithBrainly

8 0
3 years ago
22. “n is less than 15 and greater than or equal to 3”
drek231 [11]

Answer:

3 ≤ n < 15

  1. not n
  2. not n
  3. yes n
  4. yes n
  5. yes n
  6. yes n
  7. yes n
  8. yes n
  9. yes n
  10. yes n
  11. yes n
  12. yes n
  13. yes n
  14. yes n
  15. not n

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

6 0
3 years ago
Terrence and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The t
bonufazy [111]

Answer: 70 percent

Step-by-step explanation:

280 divided by 400 is 0.70, so 280 is 70 percent of 400.

6 0
3 years ago
What is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Ira Lisetskai [31]

Answer:

speed =  \frac{distance}{time}  \\ speed =  \frac{150}{3}  \\  = 50 \: miles \: per \: hour

6 0
3 years ago
Read 2 more answers
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