the equations -5x+6y=-47 and 10x+y=68 intersect at the coordinate (h, k). what is the value of h?

Answer:

a) The Metra will go 90 miles in 6 hours

b) It will take Amtrak 8 hours to travel 160 miles.

Step-by-step explanation:

From the question,

Metra travels 30 miles in 2 hours

a) To determine how far the Metra will go in 6 hours,

Let how far the Metra will go in 6 hours be x

Then,

If Metra goes 30 miles in 2 hours

Then, Metra will go x miles in 6 hours

x = (30 × 6)/2 miles = 90 miles

Hence, the Metra will go 90 miles in 6 hours.

b) To determine how long it will take Amtrak to travel 160 miles,

Let how long it will take Amtrak to travel 160 miles be y

From the question,

Amtrak travels 80 miles in 4 hours

Now,

If Amtrak travels 80 miles in 4 hours

Then, Amtrak will travel 160 miles in y hours

y = (160 × 4)/80 hours = 8 hours

Hence, it will take Amtrak 8 hours to travel 160 miles.

Answer:

4

Step-by-step explanation:

Cbghsgnrtjurshtjfikydtku

Answer:

The original cost of the butter cup was $91.

Step-by-step explanation:

Let x be the original price of the kitten butter cup.

Since Susan pays five out of seven of the original cos plus a fee of $24, the total amount she paid is 5x/7 + 24.

Now, this total amount equal the $89 she paid for the kitten butter cup. So,

5x/7 + 24 = 89.

We now solve this equation to find the original cost of the kitten butter cup.

So,

5x/7 + 24 = 89

Collecting like terms, we have

5x/7 = 89 - 24

5x/7 = 65

multiplying both sides by 7, we have

5x = 65 × 7

dividing both sides by 5, we have

x = 65 × 7 ÷ 5

x = 91

So the original cost of the butter cup was $91.

Answer:

Answer:

-3x - 12=-3(x+4)

Answer: positive 4

Step-by-step explanation:

Answer:

13.2m

Step-by-step explanation:

the initial vertical velocity of the ball is 25 sin 40 = 16.1m/s

since gravity reduces the vertical velocity of objects by 9.8m/s/s, this ball will reach max altitude in a time of

time = 16.1m/s / 9.8m/s/s = 1.6s

the max height is equivalent to the height an object will fall in 1.6s, so we have

height =1/2 g t^2 = 1/2 x 9.8m/s/s x (1.6s)^2 = 13.2m

Answer:

Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20.

Step-by-step explanation:

Answer: 1. because anything times 1 will get you that same number again.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

Y=2/5x+3

Step-by-step explanation:

Y=mx+b

The slope is rise over run to the next whole number (up 2 and over 5).

The intercept for Y is 3.

Answer:

x = 17 :)

Step-by-step explanation:

90-73=17

Answer:

17 degrees

Step-by-step explanation:

90 degree angle so 90-73=17

Answer:

600 dollars

Step-by-step explanation:

3600 divided by 6

Answer:

24 quarts

Step-by-step explanation:

Jasper Green mix equals 4 quarts of green paint with 2/3 cups of black paint.

4 quarts = 16 cups

Find factor::

4/1 ÷ 2/3 = 4/1 × 3/2 = 6

Multiply

Green                                Black

4                                         2/3 (6)

x                                            4 (6)

=24 qts of green paint

To make jasper green, 24 quarts of green paint will be needed.

Given that,
To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
Let the number of quarts need be x,
taking ratios,
4/[2/3] = x / 4
x = 6 × 4
x = 24

Thus, to make jasper green, 24 quarts of green paint will be needed.

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Answer:

hi is it null set? :))

Step-by-step explanation:

this thing : { }

Answer:

All I can think of is null set

Answer:

$1.44

Step-by-step explanation:

$11.52 (divided by) 8 = $1.44

The cost of each candy necklace will be $1.44 per candy necklace.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Rosa spent $11.52 on 8 candy necklaces for each of her two friends.

Then the cost of each candy necklace will be given by dividing $11.52 by 8.

⇒ $11.52 / 8

⇒ $1.44 per candy necklace

The cost of each candy necklace will be $1.44 per candy necklace.

More about the Algebra link is given below.

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Answer:

6ft

Step-by-step explanation:

5.94 rounded up is 6

Answer:

6 feet

Step-by-step explanation:

If you round to the nearest foot, then You want to take the number before that one, and if it is above 5, then you can round the foot to the next number

Answer:

5.328

Step-by-step explanation:

Answer:

50x

Step-by-step explanation:

5x(7x + 3)

(7x + 3)= 10x

5x x 10x=50x

Answer:

1,509 minutes

Step-by-step explanation:

Answer:

y=-5x-3

Step-by-step explanation:

put -1 and 1 in equation and you will get the answer

The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0

The equation of the line passing through (-1, 2) and (1, -8). Then the equation of the line will be

y + 8 = [(-8 - 2) / (1 + 1)] (x - 1)

y + 8 = -5x + 5

y = - 5x - 3

The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.

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Answer:

Graph second down on the left

Step-by-step explanation:

Answer:

vh

Step-by-step explanation:

Answer:

28 points per game Lebron scored

Step-by-step explanation:

Given:

168 points and 6 games

Unknown:

score per game

Solution:

score per game = 168 ÷ 6

Final Answer:

score per game = 28 points per game Lebron scored

500×6/100×4=120 500+120=620

Step-by-step explanation:

[tex]\frac{500}{1}[/tex]×[tex]\frac{4}{1}[/tex]×[tex]\frac{6}{100}[/tex]=

Anything divided by one gives itself.

500*(4/1)*(6/100)

Anything divided by one gives itself.

500*4*(6/100)

Multiply 500 and 4 to get 2000.

2000*(6/100)

Reduce the fraction 6/100 to the lowest terms by extracting and canceling out 2.

2000*(3/50)

Express 2000×(3/50) as a single fraction.

[tex]\frac{2000*3}{50}[/tex]

Multiply 2000 and 3 to get 6000.

6000/50

Divide 6000 by 50 to get 120.

120

Add 500 to 120 because it is just your interest rate

500+120=620

You then get your full payment and it is $620.

Answer:

Thus, 2/9 is the simplified fraction for 8/36 by using the GCD or HCF method. Thus, 2/9 is the simplified fraction for 8/36 by using the prime factorization method.

Step-by-step explanation:

The two equivalent fractions for the given fraction are 4/18 and 2/9.

The given fraction is 8/36.

The equivalent fraction will be obtained by dividing or multiplying both the numerator and denominator of the fraction by same number.

Here, divide both the numerator and denominator by 2, we get

(8÷2)/(36÷2)

= 4/18

Again divide both the numerator and denominator by 2, we get

(4÷2)/(18÷2)

= 2/9

Therefore, the two equivalent fractions for the given fraction are 4/18 and 2/9.

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Answer:

a

Step-by-step explanation:

glenn has 2 times as many hats so, h2 and then he has 4 less so -4

Answer:

It would be the first, 2h-4

Step-by-step explanation:

H stands for hats

We don’t have the numbers to solve, which we don’t need for this problem. But if we were solving we would multiply the amount of hats Mia has by two (2h). It says Glenn has four less than that, so you would then subtract four from whatever 2h would equal.

Answer:

Step-by-step explanation:

amount of savings, final cost

Answer:

Total Bill

Sale Price

Final Cost

Price with Tax

Discount

Commission

hope this helps =)

Step-by-step explanation:

Answer:

the volume 60 cubic meters. I hope this helps you you :)

Step-by-step explanation:

Answer: The perimeter of rectangle M'N'O'P' =54 cm

Step-by-step explanation:

When we dilated a figure , then the image is the similar figure them the original.

For similar figures,

[tex]\dfrac{\text{Area of original figure}}{\text{Area of image}}=\dfrac{(\text{perimeter of original figure})^2}{(\text{perimeter of image})^2}[/tex]

As per given, Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm².

Area of M'N'O'P' =  126 cm²

then,

[tex]\dfrac{14}{126}=\dfrac{18^2}{(\text{(perimeter of M'N'O'P'})^2}\\\\\Rightarrow\ \text{(perimeter of M'N'O'P'})^2=\dfrac{324}{14}\times126\\\\\Rightarrow\ \text{(perimeter of M'N'O'P'})^2=2916\\\\\Rightarrow\ \text{perimeter of M'N'O'P'}=\sqrt{2916}=54[/tex]

Hence, the perimeter of rectangle M'N'O'P' =54 cm

Answer: y = 4x

Step-by-step explanation:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

x

to find k use the given condition

y

=

28

when

x

=

7

y

=

k

x

⇒

k

=

y

x

=

28

7

=

4