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TEA [102]
3 years ago
12

Which value us not a solution to 3 > w + 17

Mathematics
2 answers:
Sergio [31]3 years ago
7 0

Answer:

w=3

Step-by-step explanation:

alex41 [277]3 years ago
7 0

Answer: any number greater than -14

Example : 3 , 5 , -1 , 0

Step-by-step explanation:

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Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a ro
Kaylis [27]
7 red, 8 yellow, 9 white......total = 24 roses

probability first pick is white : 9/24 
probability second pick is yellow : 8/23

probability of both : 9/24 * 8/23 = 72/552 reduces  3/23 <====
7 0
3 years ago
Read 2 more answers
Find the sum of the interior angle measures of a 5-gon.
Irina-Kira [14]

Answer:

540°

Step-by-step explanation:

The sum of interior angles in a polygon is equal to 180(x-2) where x is the number of sides. Since there are 5 sides, 180(5-2)=540°.

8 0
3 years ago
Yes, it is correct
alexgriva [62]

Answer:In Heather's solution to the problem, she wrote and solved an equation.

Her work is:

Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87

Solving like terms

1.08(x+15}=21.87

dividing both side by 1.08

we get

x+15=21.87/1.08

x+15=20.25

subtracting both side by 13.9198

x=20.25-15

x=5.25

According to correction

;

<u>Option 1st</u>

<u>yes,it is correct</u>

7 0
3 years ago
A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white
il63 [147K]

Answer:

The artist should make 15 caricatures and 30 portraits.

Step-by-step explanation:

First, we identify the variables for the problem. In this case, the variables will be:

C=number of caricatures

P= number of portraits.

Next, we can use the variables to make the inequalities that constrain the problem.

We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:

4C+10P\le 360

We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:

20C+30P\le 1200

and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:

C\ge 0

P\ge 0

So we can go ahead and graph them. (see attached picture)

Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:

first point:

(0,0)

second point:

4(0)+10P=360

P=\frac{360}{10}

P=36

(0,36)

Third point:

20C+30(0)=1200

C=\frac{1200}{20}

C=60

(60,0)

Fourth point:

4C+10P = 360

20C+30P = 1200

We multiply the first equation by -5 so we get:

-20C-50P=-1800

20C+30P=1200

------------------------

-20P=-600

P=30

so:

20C+30(30)=1200

20C=1200-900

20C=300

C=15

(15,30)

Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:

I=10C+20P

Point 1

I=10(0)+20(0)=0

Point 2

I=10(0)+20(36)=720

Point 3

I=10(60)+20(0)=600

Point 4

I=10(15)+20(30)=750

Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.

8 0
3 years ago
PLEASE HELP! WILL GIVE 70 POINTS!!
Tresset [83]

Answer:

A=189\ mm^2

Step-by-step explanation:

<u>Surface Areas </u>

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

A_f=b.h=(7.5)(9)=67.5 \ mm^2

The back left area is another rectangle of 4.5 mm by 9 mm

A_l=b.h=(4.5)(9)=40.5  \ mm^2

Finally, the back right area is a rectangle of 6 mm by 9 mm

A_r=b.h=(6)(9)=54 \ mm^2

Thus, the total surface area of the prism is

A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2

\boxed{A=189\ mm^2}

4 0
3 years ago
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