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3 years ago

(5,4), m

Mathematics

1 answer:

kirill [66]3 years ago

5 0

Answer:

y = 4x - 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (5, 4 ) into the partial equation

4 = 20 + c ⇒ c = 4 - 20 = - 16

y = 4x - 16 ← is the equation of the line

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Use the substitution method to solve the system of equations choose the correct ordered pair

Gekata [30.6K]

Answer:

C. (4,28)

Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

I hope this helped you and that I clearly elaborated on the answer choice.

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3 years ago

Joyce is helping to make wreaths for her Women’s Club to sell at a local bazaar. She will be making the bows for each wreath. Sh

jok3333 [9.3K]

Answer:

She can make 34 bows with 10 feet of ribbon left

Step-by-step explanation:

1.5x34=51

61-51=10 feet of ribbons left

51/1.5=x

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3 years ago

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t

Ksju [112]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The equation representing the given statement is ~

$50x + 330 \geqslant 820$

The least number of lawns that he can cut and buy the computer is 10 lawns ~

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

total savings is equal to ~

330 + 50x

hence,

$50x + 330 \geqslant 820$

by solving for " x (number of lawns cut) " we get ~

$50x \geqslant 820 - 330$

$50x \geqslant 490$

$x \geqslant 490 \div 50$

$x \geqslant 9.8$

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

$10$

6 0

2 years ago

The average weight of 3 containers A,B and C is 3.2kg. Container A is twice as heavy as container B. Containers B is 400 g heavi

dlinn [17]

Answer:

The weight of container C is 2.1kg.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the weight of container A.

y is the weight of container B.

z is the weight of container C.

The average weight of 3 containers A,B and C is 3.2kg.

This means that the total weight is 3*3.2 = 9.6kg. So

$x + y + z = 9.6$

Container A is twice as heavy as container B.

This means that $x = 2y$ .

Containers B is 400 g heavier than container C.

400g is 0.4kg. So

This means that $y = z + 0.4$ , or $z = y - 0.4$

Replacing y and z as functions of x in the first equation:

$x + y + z = 9.6$

$2y + y + y - 0.4 = 9.6$

$4y = 10$

$y = \frac{10}{4} = 2.5$

Container C

$z = y - 0.4 = 2.5 - 0.4 = 2.1$

The weight of container C is 2.1kg.

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3 years ago

Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.) A balloon, rising vert

Liula [17]

Answer:

(a) 2.79 seconds after its release the bag will strike the ground.

(b) At a velocity of 73.28 ft/second it will hit the ground.

Step-by-step explanation:

We are given that a balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground.

Assume the acceleration of the object is a(t) = −32 feet per second.

(a) For finding the time it will take the bag to strike the ground after its release, we will use the following formula;

$s=ut+\frac{1}{2} at^{2}$