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enyata [817]
3 years ago
7

Expand the following expression by using distributive method. 3(4x+5y)

Mathematics
1 answer:
ad-work [718]3 years ago
6 0

Answer:

12x+15y is the answer you will get once you distribute.

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A manufacturer makes three types of screws. Type A comes in a bulk pack of 1000 screws. Type B comes in a bulk pack of 500 screw
Tpy6a [65]

Answer:

Step-by-step explanation:

Given that a manufacturer makes three types of screws

Type             A        B           C Total

   

Pack         1000 500   800  

P for flaw 0.001 0.03 0.005  

Pack*p                 1 15                    4     20

a) Expected total number of defective screws = 20

b) For one pack each no of defective screws =20

Hence for 5 expected number number of packs form each should be 1/3

8 0
3 years ago
Find the general solution of the differential equation. (use c for the constant of integration.) dr dt = 8et 1 − e2t
natulia [17]
Try this solution:
if given dr/dt=8e^t -e^(2t), then
\frac{dr}{dt}=8e^t-e^{2t}; \   \int\ {dr} \, =\int\ (8e^t-e^{2t})dt;  \ r=8e^t- \frac{1}{2}e^{2t}+C.
5 0
3 years ago
Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to
Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}

Hence, it would take 8 hours if all three paint together.

3 0
3 years ago
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m
notka56 [123]

Answer:

a) The variable, M represents the amount of fish Ms. Montesinos has

b) The set equation is 11 + 2 = 3 × M - 2

c) 5

Step-by-step explanation:

The given parameters are;

The number of fishes in Ms. Cruz's tank = 11 fishes

The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes

a) Let the variable, M represent the amount of fish Ms. Montesinos has

b) The set up equation is as follows;

11 + 2 = 3 × M - 2

c) From the equation, 11 + 2 = 3 × M - 2, we have;

13 = 3·M - 2

3·M = 13 + 2 = 15

3·M = 15

M = 15/3 = 5

M = 5

The number of fishes Ms. Montesinos has is 17 fishes

5 0
3 years ago
Can I get help on this please
Alekssandra [29.7K]
Hello!

I've attached the diagram.

For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).

Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²

The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²

Simplify:
64 + 36 = c²
100 = c²
10 = c

Answer:
The length of the ladder is 10 m.

4 0
3 years ago
Read 2 more answers
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