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2 years ago

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Mathematics

1 answer:

lions [1.4K]2 years ago

5 0

Answer:

$2ft^{3}$

Step-by-step explanation:

V = length × width × height

SO...

V = 1ft × 1ft × 2ft

V = $2ft^{3}$

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The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170

Hitman42 [59]

Answer:

The first term is 128

Step-by-step explanation:please see attachment for explanation

4 0

3 years ago

Read 2 more answers

Question 2

Helen [10]

Answer:

The square root of 60

7 0

3 years ago

Read 2 more answers

If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What i

nadya68 [22]

Answer:

12 students

Step-by-step explanation:

Below numbers are divisible by the number of students:

28 - 4 = 24
39 - 3 = 36

Lets find GCF of 24 and 36:

24 = 2*2*2*3
36 = 2*2*3*3
GCF(24,36) = 2*2*3 = 12

The largest possible number of students is 12

7 0

2 years ago

Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .

We are also told that Dani received 216 pennies. Now, we will equate 216 to $\frac{27}{343}x$ and solve for x as shown below:

$\frac{27x}{343}=216$

$\frac{27x}{343}*343=216*343$

$27x=74088$

$\frac{27x}{27}=\frac{74088}{27}$

$x=2744$

Therefore, Al have 2744 pennies initially.

3 0

3 years ago

Solve the system -2y+5z=-3 y=-5x-4z-5 x=4z+4

kow [346]

-2y + 5z = -3
y = -5x - 4z - 5
x = 4z + 4

-2(-5(4z + 4) - 4z - 5) + 5z = -3
-2(-20z - 20 - 4z - 5) + 5z = -3
-2(-20z - 4z - 20 - 5) + 5z = -3
 -2(-24z - 25) = -3
 48z + 50 = -3
 - 50 - 50
 48z = -53
 48 48
 z = -1⁵/₄₈
x = 4(-1⁵/₄₈) + 4
x = -4⁵/₁₂ + 4
x = ⁵/₁₂

y = -5(⁵/₁₂) - 4(-1⁵/₄₈) - 5
y = -2¹/₂ + 4⁵/₁₂ - 5
y = 1¹¹/₁₂ - 5
y = -3¹/₂

(x, y, z) = (⁵/₁₂, -3¹/₂, -1⁵/₄₈)

6 0

3 years ago