if y varies directly with x and y=60 when x =15 find k and write an equation of direct variation

Answer:

x=5 y=-6

Step-by-step explanation:

3x+y=9 ------eqn1

y=4-2x -------eqn2

using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

y=-6

Answer:

A solar eclipse is possible during a new moon.

Answer:

- 10/5 = -2

- 1.25 = Box next to -2

0.75 = 2nd box facing the right

-0.5 = Box next to -1.25

3/2 = Last box facing the right

Answer:

-2 = -10/5, next is -1.25, next is -0.5, then 0.75, and finally 3/2, from left to right.

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Here is the correct answer

Heather puts together 2/5 of a puzzle on Saturday and 3/10 on Sunday. Nicole has the same puzzle, and she puts together 4/5 of her puzzle.How much more of the puzzle does Nicole put together than Heather? A. 1/10 b. 3/10 c. 1/5 d 4/5

total puzzle heather put together =

[tex]\frac{2}{5} + \frac{3}{10}[/tex]

[tex]\frac{4 + 3}{10}[/tex] = 7/10

the next step is to subtract 7/10 from the fraction Nicole put together

[tex]\frac{4}{5} - \frac{7}{10}[/tex]

[tex]\frac{8-7}{10}[/tex] = 1/10

Answer:

-5x

Step-by-step explanation:

-10+5= -5 then you put -5 with x to get -5x

Answer:

5% increase

Step-by-step explanation:

-8% + 13% = 5%

Answer:

the answer is 5 increase

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

CD matches with ST on the shapes.

Answer:

Angle x should be 138 degrees. But I don't see it as one of your options listed in the text of the question.

Is it one of your selections?

Answer:

B

Step-by-step explanation:

At the numerator we have to put 8, while at the denominator we have to put 26

8/26

now we can simplify the fraction by dividing both numerator and denominator by 2

(8:2)/(26:2)

4/13

Answer:

The answer is D

Step-by-step explanation:

4/46in simplest form

Answer:

Step-by-step explanation:

Hence, the surface area of a triangular pyramid is 140 square units.

Answer:

AB = 130°

Step-by-step explanation:

The inscribed angle 65° is half the measure of its intercepted arc, then

arc AB = 2 × 65° = 130°

Answer:

9 hours

Step-by-step explanation:

The total charge was $275 = $50 + ($25/hr)h

Simplifying:  $225 =  ($25/hr)h

                $225

Then h = ---------------- = 9 hours

                 ($25/hr)

Mr. D. spent 9 hours painting.

Answer:He can ride 17 rides

Step-by-step explanation:

18-5= 13

13 / 0.75 =17.333333333

You have to round down which would give you 17

Answer:

Step-by-step explanation:

Answer:if it's 25% red, it's 50/50 that it will not be orange

Step-by-step explanation:

Answer:

2x²+9x-32

Step-by-step explanation:

north length of bedroom plus north length of living room plus north length of kitchen

Answer:

0.4375

Step-by-step explanation:

Step-by-step explanation:

First, we must take into account that there will be 3 pairs of sides that are the same. Starting at the front, we have 9 * 12. Since the rectangular prism is measured in units squared, this side is 108 units squared. The opposite side is the same. Our current total is 216 units. The side is 15 * 9. This is 135 units, multiplied by 2 since it has the other side, to get 270 units. Our current total is 486 units, so it already can't be A. The top and bottom sides are 15 * 12 units, giving us 180 on each, 360 in total. 360 plus 486 = 846 units squared.

Answer:

c)  3 grams

Step-by-step explanation:

Left side of hanger:

Total mass of circles: 6 (2 circles x 3 gram)

Total mass of squares: 10 (5 squares x 2 gram)

Total mass of triangles: 6 (2 triangles x 3 gram)

Makes a total of 22 grams

Right side of hanger:

Total mass of circles: 3 (1 circle x 3 gram)

Total mass of squares: 4 (2 squares x 2 gram)

Total mass of triangles: 15 (5 triangles x 3 gram)

Makes a total of 22 grams.

Answer:

3.5

Step-by-step explanation:

Hope this helps!

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table:

14 g of peanut = 4 gram of raisins

Hence:

1 gram of raisin = (14/4) = 3.5 gram of peanuts

There are 3.5 gram of peanuts in a bag for every 1 gram of raisin  

Find out more on equation at: https://brainly.com/question/2972832

Answer:

9

Step-by-step explanation:

To be a composite number, it has to be divisible by something other than 1 and itself.

5, 2, and 11 are all prime numbers, meaning their only factors are 1 and itself.

9 is composite, as it can be multiplied by 1•9 OR 3•3. Since it can be multiplied by something other than 1 and itself (aka the 3 is a factor) is is composite.

Step-by-step explanation:

9 is the composite number

Answer:

P=2500(1+0.25)

Step-by-step explanation:

Given  data

Initial population= 2500

Rate= 25%

The exponential increase is described using the expression

P=A(1+r)^t

Hence the correct representation is

P=2500(1+0.25)

Answer:

0.4643

Step-by-step explanation:

z = (x-μ) / σ, donde

x es la puntuación bruta = 70.3 pulgadas

μ es la media de la población = 69 pulgadas

σ es la desviación estándar de la población = 2.8 pulgadas

z = (70.3 - 69) /2.8

z = 0.46429

Aproximadamente a 4 lugares decimales = 0.4643

The number of people who could be expected to buy a flag using the expression (22/200) x 25,000 is 2,750.

Option D is the correct answer.

We have,

Based on the table,

The number of people who could be expected to buy a flag out of 25,000 visitors is:

(22/total items sold) x 25,000

To find the total items sold, you can add up the number of caps, jerseys, flags, and programs:

Total items sold.

= 68 + 19 + 22 + 91

= 200

The number of people who could be expected to buy a flag is:

(22/200) x 25,000 = 2,750

Thus,

The number of people who could be expected to buy a flag is 2,750.

Learn more about expressions here:

https://brainly.com/question/17121675

#SPJ2

The complete table is given below:

Item          Number of people

Cap           68

Jersey       19

Flag           22

Program    91

Answer:

Screenshot the answer choices I don't remember them right off rip

Step-by-step explanation:

Answer:

$70.00

Step-by-step explanation:

Percentage of original price paid

= 100% -30%

= 70%

70% of original price ----- $49.00

1% of original price ----- $49.00 ÷70= $0.70

100% of original price ----- $0.70 ×100= $70.00