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3 years ago

9

Use a geometric model to factor x^2-6x+8

1 answer:

natulia [17]3 years ago

4 0

Answer:

step 3 is A

Step-by-step explanation:

Trust me homie I got you

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What is the ratio of 1400kg and 0.76kg

Goryan [66]

Answer:

35000:19

Step-by-step explanation:

→1400kg/0.76kg

→35000:19

8 0

2 years ago

Read 2 more answers

I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large wer

Licemer1 [7]

Answer:

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

$41x+45y=397...(1)$

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

$30x+47y=389...(2)$

From equation (1), we will get:

$x=\frac{397-45y}{41}$

Upon substituting this value in equation (2), we will get:

$30(\frac{397-45y}{41})+47y=389$

$\frac{11910-1350y}{41}+\frac{47*41y}{41}=389$

$\frac{11910-1350y+1927y}{41}=389$

$\frac{11910+577y}{41}=389$

$\frac{11910+577y}{41}\cdot 41=389\cdot 41$

$11910+577y=15949$

$11910-11910+577y=15949-11910$

$577y=4039$

$\frac{577y}{577}=\frac{4039}{577}$

$y=7$

Therefore, cost to wrap a large gift is $7.

Upon substituting $y=7$ in equation $x=\frac{397-45y}{41}$ , we will get:

$x=\frac{397-45(7)}{41}$

$x=\frac{397-315}{41}$

$x=\frac{82}{41}$

$x=2$

Therefore, cost to wrap a small gift is $2.

8 0

3 years ago

which figures do not have lateral area?

SOVA2 [1]

Cylinder
Cone
Sphere
I guess

5 0

3 years ago

Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the

Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

$Z\sim N(0, 1)$

The formula to compute the <em>z</em>-score is:

$z=\frac{x-\mu}{\sigma}$

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

$z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20$

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0

3 years ago

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago