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2 years ago

A bowl contained 19.4 grams of salt. Then, Greg poured in another 56.24 grams. How much salt does the bowl contain now?

Mathematics

2 answers:

Ludmilka [50]2 years ago

7 0

Answer:

75.64

Step-by-step explanation:

add them

Elanso [62]2 years ago

7 0

Answer:

75.64

Step-by-step explanation:

Add the two amounts together to determine the amount of salt in the bowl

19.4+56.24

Make sure to line up the decimals

19.4

56.24

-----------

75.64

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a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear speed, in feet per

Yuri [45]

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

10 revolutions is equal to

$(10)113.04=1,130.4\ ft$

therefore

The linear speed is $1,130.4\frac{ft}{min}$

3 0

3 years ago

Substitute a = 4, b = 1 and c = 5 into the expressions:<br> a + b - c

Soloha48 [4]

Answer:

a+b-c

4+1-5

5-5=0

THE ANSWER IS 0

3 0

2 years ago

Six times a number a number increased by three is negative twenty-one. Find the number and write the equation

salantis [7]

let number be x

6x+3= -21

6x=-24

x=-4

3 0

2 years ago

Given the trinomial 5x2 − 2x − 3, predict the type of solutions.

Contact [7]

$5x^2 - 2x - 3$

$5x^2+3x-5x-3$

$x(5x+3)-(5x+3)$

$(5x+3)(x-1)$

Factoring is the only solution.

5 0

3 years ago

Prove that if a is equivalent to 5 mod (8) and b is equivalent to 3 mod (8), then 8 divides ab+1

olga nikolaevna [1]

Answer:

Explanation contains the proof.

Step-by-step explanation:

$a \equiv 5 (mod 8) \text{ means there is integer } k \text{ such that } a-5=8k$ .

$b \eqiv 3 (mod 8) \text{ means there is integer } m \text{ such that } b-3=8m$ .

We want to show that $8 \text{ divides } ab+1$ . So we are asked to show that there exist integer $n \text{ such that } 8n=ab+1 \text{ or 8n-1=ab$

So what is $ab$ ?

$a-5=8k \text{ gives us } a=8k+5$ .

$b-5=8m \text{ gives us } b=8m+5$ .

So back to $ab$ ....

$ab$

$=(8k+5)(8m+5)$

$=64km+40k+40m+25$ (I use foil to get this)

Factoring out 8 gives us:

$=8(8km+5k+5m)+25$

Now I could have factored some 8's out of 25. There are actually three 8's in 25 with a remainder of 1.

$=8(8km+5k+5m+3)+1$

We have shown that there is integer $n \text{ such that } ab=8n-1$ .

The integer I found that is n is 8km+5k+5m+3.

Therefore $8|(ab+1)$ .

5 0

2 years ago

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