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topjm [15]
3 years ago
14

What is the solution to this system of equations?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

3x+y=−11

3x+y+−3x=−11+−3x(Add -3x to both sides)

y=−3x−11

2x+2y=−10

2x+2(−3x−11)=−10

−4x−22=−10(Simplify both sides of the equation)

−4x−22+22=−10+22(Add 22 to both sides)

−4x=12

−4x

−4

=

12

−4

(Divide both sides by -4)

x=−3

y=−3x−11

y=(−3)(−3)−11

y=−2(Simplify both sides of the equation)

Answer:

x=−3 and y=−2

D.(-3,-2)

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Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard devi
Svetllana [295]

Answer:

Step-by-step explanation:

Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.

If X is height then X is N(55,6)

Z score would be \frac{x-55}{6}

a) P(X

b) P(60

c) Tallest 10% z = 1.28

X score = 48+1.28(6) = 55.68  inches

d)P(X

i.e. 16.37% cannot go on this ride.

7 0
3 years ago
Read 2 more answers
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr
Nitella [24]

<u><em>Answer:</em></u>

She stayed awake for 295 minutes today

<u><em>Explanation:</em></u>

<u>We are given that:</u>

Yesterday, she drank one cup

Today, she drank \frac{17}{42} of a cup more than yesterday

<u>This means that:</u>

Number of cups she drank today = 1+\frac{17}{42}=1\frac{17}{42}cups

Now, we know that she drinks \frac{2}{7} of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink 1\frac{17}{42} cups

1 hour ...........................> \frac{2}{7} of a cup

?? hours ......................> 1\frac{17}{42} cups

Time taken = \frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours

This means that she was awake for 4\frac{11}{12} hours

<u>Finally, we convert this to minutes:</u>

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for 4\frac{11}{12} * 60 = 295 minutes

Hope this helps :)

8 0
3 years ago
Read 2 more answers
a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid
gogolik [260]

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

0.6y = 160

y = 160/0.6y

y = 266.67 g

Solving for x

x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

7 0
2 years ago
45 points to answer this question
Mrac [35]

if a = b and b = c, then a = c.

In this case if y = - 7 and -7 = z then y = z  .................>(y = a, -7 = b and z = c)

Answer:  B)

transitive property of equality




7 0
3 years ago
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