What is the answer???

9514 1404 393

Answer:

  1. 2x +2y = 310; x -y = 55

  2. y = 50, x = 105

Step-by-step explanation:

Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...

  2x + 2y = 310

The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...

  x - y = 55

__

We can divide the first equation by 2, and subtract the second.

  1/2(2x +2y) -(x -y) = 1/2(310) -(55)

  2y = 100 . . . . . . . simplify

  y = 50 . . . . . . . . . divide by 2

  x -50 = 55   ⇒   x = 105 . . . . use the second equation to find x

The two numbers are 105 and 55.

Given:

The ratios are  [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].

To find:

Whether the ratios form a proportion or not.

Solution:

If two ratios represent the same relationship then they form a proportion.

We have,

[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]

Write the given ratios in the simplified forms.

[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]

[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]

And,

[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]

[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]

Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.

Answer:

68

Step-by-step explanation:

33+2= 35

35+33=68

Answer:

A= -75

B= -60

C= -45

D= -15

E= 15

F=30

Step-by-step explanation:

Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.

Hope this helped!

Answer:

y=-24

Step-by-step explanation:

hope this will help you

Answer:

14x+8

Step-by-step explanation:

Answer:

(-1, 3)

Step-by-step explanation:

If you graph both lines, the point where they intersect is (-1,3)

Answer: 171 cm

Step-by-step explanation: im not sure if this is right but

9x12=108

9x7=63

108+63=171

the probability of getting one is 1/6, and 2 is the same, 1/6. the probability of getting a number higher than 4 is 1/3. 1/6 * 1/6 * 1/3 = 1/108

Answer:

[tex]\frac{3}{13} ,\frac{12}{52}[/tex]

Step-by-step explanation:

In a 52 card deck there a 4 of ech individual card

There are 3 card values between 6 and 10, (7,8,9)

[tex](3)(4)=12[/tex]

12 out of the 52 cards could win the game, so there is a probability of

[tex]\frac{12}{52}[/tex]  [tex]or[/tex] [tex]\frac{3}{13}[/tex]

plz mark me brainliest. :)

Answer:  the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

Answer:

1 rice cake has 23.761 calories

Step-by-step explanation:

18 rice cakes weigh a total of 130 g.

There are 329 calories in 100 g of rice cakes.

Step 1

We calculate the number of calories is 18 rice cakes

18 rice cakes = 130g

Hence,

100g = 329 calories

130g = x

Cross Multiply

100g × x = 130g × 329 calories

x = 130g × 329 calories/100g

x = 427.7 calories

Therefore, 18 rice cakes had 427.7 calories

Step 2

How many calories are there in one rice cake?

18 rice cakes = 427.7 calories

1 rice cake = x

Cross Multiply

18 × x = 1 × 427.7

x = 427.7/18

x = 23.761111111 calories

Approximately = 23.761 calories

Therefore, 1 rice cake has 23.761 calories

Answer:

8 batches

Step-by-step explanation:

A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

From the above question, 1 recipe = 1 batch of cookies

Hence:

2/3 cup of sugar = 1 batch of cookies

5 1/3 cups of sugar = x batches of cookies

Cross Multiply

2/3 cup × x batches = 5 1/3 cup × 1 batch

x batches = 5 1/3 cup × 1 batch/2/3 cup

x batches = 16/3 ÷ 2/3

x batches = 16/3 × 3/2

= 8 batches

Therefore she made 8 batches

Answer:

it is option A hope it helps

Answer:

[tex]Z=(-2.5,5)[/tex]

Step-by-step explanation:

From the question we are told that

Point [tex]a=(-4,10)[/tex]

Point [tex]b= (2,-10)[/tex]

Ratio [tex]r=1:3[/tex]

Generally the section formula is mathematically given as

[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]

[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]

Generally the point P(x,y) is mathematically given as

[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]

[tex]x=-2.5[/tex]

[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]

[tex]y=5[/tex]

Required Co-ordinates Z is

[tex]Z=(-2.5,5)[/tex]

Answer:

5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)

Step-by-step explanation:

Answer:

−4x+13

Step-by-step explanation:

collect like terms: (−3x−2x+x)+(16+5−8)

Answer:

-3x-2x-x+16+5-8=-4x13

Answer:

49

Step-by-step explanation:

6238 -6287

=49

hope love you

Answer:

Step-by-step explanation:

2x - 2 = x

Bringing like terms on one side

2x - x = 2

x = 2

Answer:

I'm assuming you meant to put (-x) instead of (x-)

x = 2/3

Answer:

64.428

Step-by-step explanation:

well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence

so if we add all of the numbers up it will give us

451

then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with

around 65 or exactly it would be

64.428

Answer:

D.

Step-by-step explanation:

The sides correspond with a favor of 1.5

12/8 = 1.5

7.5/5 = 1.5

3/2=1.5

Answer:

96 square inches

Step-by-step explanation:

Given in a parallelogram

base (b) = 12 inches

height (h) = 8 inches

Now

Area of parallelogram

= b * h

= 12 * 8

= 96 square inches

Hope it will help :)

Answer:

96

Step-by-step explanation:

Area= base x height

       = 12 x 8

       = 96

Since Area of parallelogram is base into height

What is going on? it doesn't make any sense.

Answer:

"The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)." 

Answer:

It is how steep a linear graph/function is.

Step-by-step explanation:

It is the m in the formula y=mx+b. The bigger the member the steeper.

Answer:

12

Step-by-step explanation:

u will need 12 rooms because 15 hikers per room so 178 divided by 15 equals 11.87 so just round that up to 12

Answer:

Option 2

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

exponential growth means that the line is increasing

Answer:

40

Step-by-step explanation:

16 + (4+12) = 32 + 8 = 40