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2 years ago

Add −2/3+2 3/8 . Write your answer as a mixed number in simplest form.

Mathematics

2 answers:

d1i1m1o1n [39]2 years ago

5 0

Answer:

41/24 or 1 17/24

Step-by-step explanation:

2 3/8=19/8

-2/3+19/8

-16/24+57/24

41/24

nevsk [136]2 years ago

5 0

Conversion a mixed number 1 3/
4
to a improper fraction: 1 3/4 = 1 3/
4
= 1 · 4 + 3/
4
= 4 + 3/
4
= 7/
4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/
4
= 4/
4

b) Add the answer from previous step 4 to the numerator 3. New numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters is seven quarters
Conversion a mixed number 2 3/
8
to a improper fraction: 2 3/8 = 2 3/
8
= 2 · 8 + 3/
8
= 16 + 3/
8
= 19/
8

To find a new numerator:
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8
= 16/
8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths
Add: 7/
4
+ 19/
8
= 7 · 2/
4 · 2
+ 19/
8
= 14/
8
+ 19/
8
= 14 + 19/
8
= 33/
8

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 8 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seven quarters plus nineteen eighths = thirty-three eighths.

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Malco weighs 42 more pounds than Peter the sum of their Weights is 286 pounds how much does Peter way

Travka [436]

122
286-42=144
144\2=122
122(peter)+164(malco)=286(total weight)

7 0

3 years ago

Read 2 more answers

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

Tju [1.3M]

Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with $\mu=106$ and $\sigma=15$ .

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

$P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]$

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

4 0

3 years ago

In Mr. Jegou’s neighborhood 35% of the houses are blue. Write the percent that do not live in blue houses as a decimal and a fra

konstantin123 [22]

Answer:

65%

Step-by-step explanation:

65% + 35%=100%

8 0

3 years ago

To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures

marishachu [46]

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1 2

2 4

3 1

5 2

6 3

9 1

11 1

14 1

15 1

18 1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

6 0

3 years ago

Write your answer as a fraction or as a whole or mixed number. 27pts

statuscvo [17]

What we know:

Bird feeder capacity: --> 2 4/5 cups
Samantha's scoop capacity: --> 7/10 cups

Lets first convert the mixed partial fraction --> improper fraction

--> for easier calculation

After Conversion:

Bird feeder capacity: --> 14/5 cups
Samantha's scoop capacity: --> 7/10 cups

To find how many scoops of birdseed will Samantha put into the feeder we must:

--> divide the total capacity by the scoop's capacity

--> find the number of scoops:

Solve:

$Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4$

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

4 0

2 years ago