All categories

3 years ago

Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.

Mathematics

2 answers:

11111nata11111 [884]3 years ago

7 0

Answer:

Willhem

Step-by-step explanation:

The given equation is

Step 1 : Add 32g and 8g.

Step 2: Subtract 10 from 40.

Step 3: Divide both sides by 30, find the value of g.

The value of g is 5.

Therefore, Wilhem is correct.

Ymorist [56]3 years ago

4 0

Answer:

Wilhem

Step-by-step explanation:

You might be interested in

A health food store sells a mixture of raisins and roasted nuts.

murzikaleks [220]

Answer:

Raisins = 25 kg

Nuts = 15 kg

Step-by-step explanation:

Given that:

Kilograms of snack to be made = 40 kg

Price per kg would be $4.75kg.

Price of 40 kg would be = 4.75 * 40 = $190

Let,

x be the kilograms of raisins

y be the kilograms of nuts

According to given statement;

x+y=40 Eqn 1

4.00x+6.00y=190 Eqn 2

Multiplying Eqn 1 by 4

4(x+y=40)

4x+4y=160 Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=190-160

4x+6y-4x-4y=30

2y=30

Dividing both sides by 2

$\frac{2y}{2}=\frac{30}{2}\\y=15$

Putting y=15 in Eqn 1

x+15=40

x=40-15

x=25

Hence,

Raisins = 25 kg

Nuts = 15 kg

8 0

3 years ago

Read 2 more answers

The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1

marshall27 [118]

Answer:

<h3><u>Cylinder</u></h3>

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 6 cm

h = 18 cm

$\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}$

$\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}$

Given:

x = 8 cm

$\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}$

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.

4 0

2 years ago

Justify each step of the solution by stating the property that was used to get to each step.

trapecia [35]

For this case we have the following expression:

$4.5 (8-x) + 36 = 102-2.5 (3x + 24)$

Applying distributive property to the terms within parentheses we have:

$36-4.5x + 36 = 102-7.5x-60$

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$72-4.5x = 42-7.5x$

We add 7.5x to both sides of equality:

$72 + 3x = 42$

We subtract 72 from both sides of equality:

$3x = -30$

We divide between 3 on both sides of equality

$x = -10$

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

3 0

3 years ago

A rectangle has a length of twenty one cm and a diagonal of twenty nine cm. How wide is the rectangle?

GuDViN [60]

The width of the rectangle become 20 cm.

According to the statement

we have to find the width of the rectangle.

So, For this purpose, we know that the

Rectangle is a parallelogram all of whose angles are right angles.

According to the information:

A rectangle has a length of 21 cm and a diagonal of 29 cm.

Here we use the this formula

d² = l² + w²

So, Substitute the values

29² = 21² + w²

841 = 441 + w²

Now, solve it then

w² = 400

Solve the square root then value becomes

w = 20 cm.

The width of the rectangle become 20 cm.

So, The width of the rectangle become 20 cm.

Learn more about Rectangle here

brainly.com/question/19819849

#SPJ9

3 0

1 year ago

Alex bought string for $125. Other materials for $18. What is the total cost to make 50 puppets?

Lesechka [4]

(125+18) 50 = $7,150

6 0

3 years ago