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STatiana [176]
1 year ago
13

Grayson needs to order some new supplies for the restaurant where he works. The restaurant needs at least 761 forks. There are c

urrently 205 forks. If each set on sale contains 10 forks, which inequality can be used to determine x, the minimum number of sets of forks Grayson should buy?options are.1. 761 ≥ 10(205+x)2. 761 ≤ 10(205+x)3. 761 ≥ 10x+2054. 761 ≤ 10x+205
Mathematics
1 answer:
Triss [41]1 year ago
7 0

The restaurant needs at least 761 forks.

There are currently 205 forks

Each set on sale contains 10 forks,

The number of set taht have to buy are x

Number of forks in x set are = 10x

Since, we need at least 761

So 761 should be graeter than equal to the sum of reamining forks and the new forks

i.e. 761 ≥ 10x + 205

Answer : 3. 761 ≥ 10x + 205

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

b)

0.6315 mm

c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

 

x = 23.9634 °C

6 0
4 years ago
Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns $3 more per hour than gabe
mel-nik [20]

Answer:

- Gabe earns 13.5 per hour

x ------------------ 4  ---- 8 --------- 12 ------ 16

Earnings ----- 57 ---- 111 ------- 165------ 219

Step-by-step explanation:

5 0
3 years ago
Multiply (x +8)(x - 2) <br>i need awnsers asap ​
frozen [14]

Answer:

x^{2}+6x-16

Step-by-step explanation:

(x+8)(x+−2)

=(x)(x)+(x)(−2)+(8)(x)+(8)(−2)

=x^2−2x+8x−16

=x^2+6x−16

4 0
3 years ago
PLS HELP:( !! What is an equation of the line
pychu [463]

Answer:

y =  \frac{3}{2} x + 8

Step-by-step explanation:

The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).

Thus, gradient of given equation= -⅔

The products of the gradient of perpendicular lines is -1.

(Gradient of line)(-⅔)= -1

Gradient of line

=  - 1  \div ( -  \frac{2}{3} ) \\  =  \frac{3}{2}

Hence, m= \frac{3}{2}.

Subst. m= \frac{3}{2}into the equation:

y =  \frac{3}{2} x + c

To find the value of c, substitute a pair of coordinates into the equation:

When x= -4, y= 2,

2 =  \frac{3}{2} ( - 4) + c \\ 2 =  - 6 + c \\ c = 2 + 6 \\ c = 8

Thus, the equation of the line is y =  \frac{3}{2} x + 8.

3 0
3 years ago
Read 2 more answers
How do I solve this substitution equation?
Tamiku [17]
You solve this by using google.com or YouTube.com

Or just pay attention in class to get this.   
3 0
3 years ago
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