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3 years ago

The equations : -3x+4y=-30− and 9x + 5 y = 39 intersect at the coordinate (h, k). What is the value of h?

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

h = 6

Step-by-step explanation:

Given the 2 equations

- 3x + 4y = - 30 → (1)

9x + 5y = 39 → (2)

We require the value of the x- coordinate at the point of intersection, thus require to eliminate the y- term from the equations

Multiply (1) by 5 and (2) by - 4

- 15x + 20y = - 150 → (3)

- 36x - 20y = - 156 → (4)

Add (3) and (4) term by term thus eliminating y

- 51x = - 306 ( divide both sides by - 51 )

x = h = 6

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Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The ply

lapo4ka [179]

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

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3 years ago

How many ways can you arrange 28

MaRussiya [10]

Answer:

In 6 ways 28 can be arranged

Step-by-step explanation:

1 × 28 = 28

2 × 14 = 28

4 × 7 = 28

7 × 4 = 28

14 × 2 = 28

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Thus, In 6 ways 28 can be arranged

-TheUnknownScientist

3 0

3 years ago

three students ordered wings that cost $21 and french fries for 6$. If they split the bill equally how much did each student pay

SVEN [57.7K]

The total is $21 + $6 or $27.

There are 3 students.

Let p = how much each student will pay

p = $27 ÷ 3 students

p = $9

Each student will pay $9.

7 0

3 years ago

Read 2 more answers

I don't understand how to solve this please help and if you can please show work, thank you

Korvikt [17]

So you know:
1) There are 180° in a triangle.
2) A straight line is also 180°.
So the three angles in the triangle are
2x, 103-x, and (180-(6x-7)).
Solve for x!
2x + 103-x + (180-(6x-7)) = 180
2x + 103-x + 180-6x+7 = 180
-5x = -110
x = 22

4 0

3 years ago

Which statement(s) is (are) correct?

Anna71 [15]

Answer:

statements 3 and 4 are correct.

Step-by-step explanation:

(1)

The probability of choosing cured pasta and bear= probability that the card is king.

Hence, The probability of choosing cured pasta and bear= $\dfrac{4}{52}=\dfrac{1}{13}$

Probability of choosing baked cucumber and lime mutton=probability that the card is 3.

as there are 4 cards that are '3'.

Hence Probability of choosing baked cucumber and lime mutton= $\dfrac{4}{52}=\dfrac{1}{13}$

as both the probabilities are equal.

Hence statement 1 is incorrect.

(2)

The probability of choosing gooseberry & passion fruit cheesecake= Probability taht the card is ace.

as there are 4 cards which are ace out of 52 cards.

Hence, The probability of choosing gooseberry & passion fruit cheesecake= $\dfrac{4}{52}=\dfrac{1}{13}$

probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator= $\dfrac{12}{52}=\dfrac{3}{13}$

Hence, the probability of choosing gooseberry and passion fruit cheesecake is smaller than the probability of choosing poached fennel & lemon alligator.

Hence statement 2 is false.

(3)

The probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer= $\dfrac{13}{52}=\dfrac{1}{4}$

the probability of choosing poached fennel & lemon alligator=Probability that the card is a face card.

As there are 12 face cards out of 52 cards.

Hence, probability of choosing poached fennel & lemon alligator= $\dfrac{12}{52}=\dfrac{3}{13}$

Hence, The probability of choosing a praline wafer is greater than the probability of choosing poached fennel & lemon alligator.

Hence statement 3 is correct.

(4)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,

The probability of choosing pressure-cooked mushroom & garlic chicken = $\dfrac{26}{52}=\dfrac{1}{2}$

probability of choosing an oven-baked apple & lavender calzone =probability that the card is black.

As there are 26 red cards out of 52 cards.

Hence, probability of choosing an oven-baked apple & lavender calzone= $\dfrac{26}{52}=\dfrac{1}{2}$

Hence, The probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing an oven-baked apple & lavender calzone are the same.

Hence statement 4 is true.

(5)

The probability of choosing pressure-cooked mushroom & garlic chicken =probability that the card is red.

As there are 26 red cards out of 52 cards.

Hence,

The probability of choosing pressure-cooked mushroom & garlic chicken = $\dfrac{26}{52}=\dfrac{1}{2}$

the probability of choosing a praline wafer=probability that the card is a diamond.

as there are 13 diamond cards out of 52 cards.

The probability of choosing a praline wafer= $\dfrac{13}{52}=\dfrac{1}{4}$

Hence, the probability of choosing pressure-cooked mushroom & garlic chicken and the probability of choosing a praline wafer are not same.

Hence, statement 5 is not correct.

6 0

3 years ago