All categories

3 years ago

The sum of one and the product 4 and a number z

Mathematics

1 answer:

Dovator [93]3 years ago

3 0

Answer: 5z

Step-by-step explanation:

1+4 * z= 5z

You might be interested in

Which one of the following reasons does NOT explain why 4x+5y≠9xy?

viva [34]

<h3>The terms 4x and 5y has different variable present in it. $4x + 5y \neq 9xy$ </h3>

<em><u>Solution:</u></em>

Given that,

$4x + 5y \neq 9xy$

<em><u>The reason is:</u></em>

When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable

Which means,

4x + 10x = 14x

But,

We cannot add terms that has different variable

Which means,

4x + 5y

Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together

$4x+5y\neq 9xy$

6 0

3 years ago

An experiment consists of rolling a number cube (dice). What is the probability of rolling a number GREATER THAN 4? Express your

MrMuchimi

Answer:

1/3

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur

Probability = Expected/Total outcome

Since the experiment requires rolling a dice

S = {1, 2, 3, 4, 5, 6}

Total outcome n(S) = 6

Number greater than 4 are;

Events E = {5,6}

Expected outcome n(E) = 2

Probability of rolling a number greater then 4 = 2/6

Probability of rolling a number greater then 4 = 1/3

8 0

3 years ago

Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the

rodikova [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0

3 years ago

Circle V is shown. Line segment T V is a radius with length 14 feet.

lawyer [7]

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

$A=\pi r^2$ , where r represents radius of circle.

Upon substituting $r=\text{14 ft}$ in above formula, we will get:

$A=\pi(14\text{ ft})^2$

$A=\pi(14)^2\text{ ft}^2$

$A=\pi\cdot 196\text{ ft}^2$

$A=196\pi\text{ ft}^2$

Therefore, the area of the circle V is $196\pi$ square feet and option 'c' is the correct choice.

5 0

3 years ago