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allochka39001 [22]
3 years ago
15

Your tea her will grade your response 4-8 to ensure you receive proper credit

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

k = 73

Step-by-step explanation:

The sum of all the angles in a triangle is  180  degrees.

62 °  +  k +  45 °  =  180

Solve the equation for k

Add  62 °  and  45 °

k +  107  =  180

Move all terms not containing  C  to the right side of the equation.

Subtract  107  from both sides of the equation.

k  =  180  −  107

Subtract

k  =  73

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Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowe
alexgriva [62]

Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.

<h3>How to determine the quantity of flowers in a flower shop</h3>

Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - <em>p</em>, yellow - <em>y</em>, red - <em>r</em>, white - <em>w</em>), each variable represents <em>positive</em> integers. Now we proceed to construct the system of equation that describes the situation:

z < 150     (1)

p + y + r + w = z    (2)

p = y/2     (3)

y = 3 · r/4     (4)

r = 5 · w/6     (5)

By (1) and (3) in (2):

y/2 + y + r + w < 150

By (4):

3 · y/2 + r + w < 150

9 · r/8 + r + w < 150

17 · r/8 + w < 150

By (5):

85 · w/48 + w < 150

133 · w/48 < 150

133 · w < 7200

w < 54.135

Now we assume that <em>w =</em> 48, then we have the following solution for the flower shop: <em>r =</em> 40, <em>y =</em> 30, <em>p =</em> 15.

Flori's Flower Shop have 48 <em>white</em> flowers, 40 <em>red</em> flowers, 30 <em>yellow</em> flowers and 15 <em>purple</em> flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. \blacksquare

To learn more on inequalities, we kindly invite to check this verified question: brainly.com/question/20383699

3 0
1 year ago
Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value
DIA [1.3K]

The solution to the system of equation are x = -2 and y = 3

<h3>How to find the solution of a system of equation?</h3>

x + 3y = 7

2x + 4y = 8

Let's isolate x in the first equation

x = 7 - 3y

substitute the value of x in the second equation.

Therefore,

2(7 - 3y) + 4y = 8

14 - 6y + 4y = 8

-2y = 8 - 14

-2y = -6

y = -6 / -2

y = 3

Hence,

x + 3(3) = 7

x = 7 - 9

x = -2

learn more on equation here: brainly.com/question/12926248

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4 0
2 years ago
Tina charges $94.50 for a job. How long did she babysit for?
Vlad [161]

Answer:

ima say 10 hours since its 9.45 hours she works.

8 0
2 years ago
What number is between 1/6 and 1/4?
stepladder [879]

Answer:

5/24

Step-by-step explanation:

First, we want to get a common denominator, so we multiply them together.

The 2 new fractions are. . .

4/24 (1/6) and 6/24 (1/4)

Now, if you are looking for the number between 4/24 and 6/24, the answer is 5/24.

5 0
3 years ago
A briefcase has a three- digit lock code that doesn't include zero as a digit. What is the probability that the lock code consis
storchak [24]

Answer:

1/21.

Step-by-step explanation:

There are 9 digits and the total number of permutations of 3 from 9 is 9P3

= 9!/6!  = 504.

There are 4 even digits so the number of permutations of 3 from these 4 is 4!  (4-3)!  = 4*3*2 = 24.

So the required probability =  24/504

= 1/21.

5 0
3 years ago
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