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3 years ago

6 1/4 plus 9 4/5 help

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer: 321/20 or 16 1/20

Step-by-step explanation:

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Find the sum of a finite arithmetic sequence from n=1 to n=18, using the expression 4n-10

Zarrin [17]

Sum f(k)=4k-10 for k=1 to 18.

We sum each term separately and add the sums.

$\sum_1^{18}4k=4\sum_1^{18}k=4[18(1+18)/2]=4*9*19=684$
$\sum_1^{18}-10=-10\sum_1^{18}1=-10*18=-180$

Therefore the required sum is 684-180=504

8 0

3 years ago

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An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are gre

mrs_skeptik [129]

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = $\frac{2}{7}$ × z ........1

Blue eggs = $\frac{1}{4}$ × z .......2

Rest of eggs = 26 ........3

The addition of 1, 2 and 3 is equal to z

$\frac{2}{7}$ × z + $\frac{1}{4}$ + 26 = z

$\frac{8z + 7 z}{28}$ + 26 = z ∵GCF for 4 and 7 is 28

$\frac{15z}{28}$ + 26 = z

15z + (26 × 28) = 28z ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728 .......... rearranging above equation

13z = 728 ⇒ z = $\frac{728}{13}$ ⇒ z = 56

Total number of eggs = z = 56

6 0

3 years ago

Read 2 more answers

a garden is in a shape of a rectangle ABCD and a semi circle AD the diameter of the semi circle carol is going to cover the gard

ser-zykov [4K]

The shape of the garden is composite figure of a rectangle and a semicircle. The area of that shape will be
Area = AB x CD + π x AD² / 4
Once the area is calculated, the number of boxes of fertilizer is determined
Area / 12 m = Number of boxes
After getting the number of boxes, the total cost can be determined
<span>£4.99 x Number of boxes</span>

5 0

3 years ago

What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

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If x has a continuous uniform distribution on the interval (0,5), what is the 25th percentile for x?

Natasha_Volkova [10]

Given that $X\sim\mathrm{Unif}(0,5)$ , it has PDF

$f_X(x)=\begin{cases}\dfrac15&\text{for }0\le x\l5\\\\0&\text{otherwise}\end{cases}$

and thus CDF

$F_X(x)=\mathbb P(X\le x)=\begin{cases}0&\text{for }x$

The 25th percentile is the value $X=k$ such that $\mathbb P(X\le k)=0.25$ . We have

$\mathbb P(X\le k)=\dfrac k5=0.25\implies k=1.25$

4 0

3 years ago