Here are two fractions.
3/10 5/7

Work out which of the fractions is closer to 1/2

You must show your working.

The linear function that describes the situation is:

y = -950x + 18500.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:

m = -6650/7 = -950.

The slope of -950 means that the price of the car decays $950 per year.

Then, the equation is:

y = -950x + b.

After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:

16600 = -950(2) + b

b = 18500.

The equation is:

y = -950x + 18500.

The y-intercept of 18500 means that the initial value of the car is of $18,500.

The x-intercept is found when y = 0, hence:

-950x + 18500 = 0.

x = 18500/950

x = 19.47.

The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

6 students

Step-by-step explanation:

Let x = number of students

Let y = total number of pens

Given:

⇒ 5x = y

Given:

⇒ 3x = y - 12

Substitute  5x = y  into  3x = y - 12  and solve for x:

⇒ 3x = 5x - 12

⇒ 12 = 5x - 3x

⇒ 2x = 12

⇒ x = 6

Therefore, there are 6 students.

Answer:

mention the blanks please...if u mention iam ready to answer

Answer:

49.12

Step-by-step explanation:

Area of triangle =1/2 x b x h

=24

semi circle =(pie rxr)divuded by 2

=25.12

so, 25.12 +24=49.12

Answer:

D.

Step-by-step explanation:

We know that each centimeter is equal to 2.5 feet. The way I solved it was this.

We start with the 4cm. We can multiply 4×2.5, and that gives us 10 feet. We can do 8.5×2.5, and that will equal 21.25 feet. So the final and correct answer is D. 10 feet by 21.25 feet

Answer:

76,400

Step-by-step explanation:

I think this is right, not sure though.

Surface area of sphere:

[tex]4\pi \times r {}^{2} [/tex]

Circumference :

[tex]2(\pi \times r)[/tex]

489.84 = 2 × 3.14 × r

2 × 3.14 = 6.28

489.84 = 6.28 × r

radius = 489.84 ÷ 6.28

R =78

Surface Area = 4 × 3.14 × (78)^2

Surface area = 76,415.04

= 76,400

Answer: (-6x - 5) • (2x + 3)

Step-by-step explanation:

((0 -  (22•3x2)) -  28x) -  15

Pull out like factors :

-12x2 - 28x - 15  =   -1 • (12x2 + 28x + 15)

Trying to factor by splitting the middle term

3.2     Factoring  12x2 + 28x + 15

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +28x  its coefficient is  28 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   12 • 15 = 180

Step-2 : Find two factors of  180  whose sum equals the coefficient of the middle term, which is   28 .

     -180    +    -1    =    -181

     -90    +    -2    =    -92

     -60    +    -3    =    -63

     -45    +    -4    =    -49

     -36    +    -5    =    -41

     -30    +    -6    =    -36

     -20    +    -9    =    -29

     -18    +    -10    =    -28

     -15    +    -12    =    -27

     -12    +    -15    =    -27

     -10    +    -18    =    -28

     -9    +    -20    =    -29

     -6    +    -30    =    -36

     -5    +    -36    =    -41

     -4    +    -45    =    -49

     -3    +    -60    =    -63

     -2    +    -90    =    -92

     -1    +    -180    =    -181

     1    +    180    =    181

     2    +    90    =    92

     3    +    60    =    63

     4    +    45    =    49

     5    +    36    =    41

     6    +    30    =    36

     9    +    20    =    29

     10    +    18    =    28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  10  and  18

                    12x2 + 10x + 18x + 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x+5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (6x+5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (6x+5)

            Which is the desired factorization

Answer: (-6x - 5) • (2x + 3)

Answer:

x=1.5 and x= -1.5

Step-by-step explanation:

thats where the graph crosses the x axis (which basically is y=0)

Answer:

Step-by-step explanation:

x² - 2 = y

x² - 2 = 0

x² = 2

x = √2

x = ±1.4

Answer:

∠s = ∠v

Step-by-step explanation:

Supplementary angles add up to 180°

∠s + ∠v = 180

90 + ∠v = 180

     ∠v = 180 - 90

      ∠v = 90°

⇒∠s ≅ ∠v

Answer:

Step-by-step explanation:

KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L

KL is a tangent line, so ∠JKL = 90°,

so m∠J = 45°

Answer:

50,000

Step-by-step explanation:

Just put it in the answer lol :p

Answer:

28,360,000

Step-by-step explanation:

The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.

please give brainliest!

Answer:

I believe a is equal to -54

Answer:

y = 60 :)

Step-by-step explanation:

Triangle angle total measure: 180

We need to add upp the angles we know and subtract from the total 180, so we can figure out y.

60 + 60 + y = 180

120 + y = 180

180 - 120 = 60

y = 60

Now you know how to solve this type of problem!

Have a great day!!

Please rate and mark brainliest!!

Answer:

The value of y should be 60

Step-by-step explanation:

Tell me if its not right

Answer:

the answer is 4095

Step-by-step explanation:

Answer: 4095

Step-by-step explanation: that one person was right

with proof

Answer:

mm what's that?

Step-by-step explanation:

wala akong pake char

Answer:

47.5%

Step-by-step explanation:

3.8/8.0 x 100

= 47.5%

Uncle Jack used 47.50 percent of the wood he cut to create the shelf.

The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.

Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,

P = (3.8 / 8) x 100

P = 0.475 x 100

P = 47.50%

The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ7

Answer: 39

Step-by-step explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

Add them together, and you get your answer.

Answer: 121.875 ounces of orange dye

Step-by-step explanation: 8 ÷ 195 = 24.375

24.375 x 5 = 121.875

Answer:

6 Cups

Step-by-step explanation:

3 cups of sugar to 9 cups of water

1 cups of sugar : 3 cups of water

2 X 3 = 6

Step-by-step explanation:

f(x) goes through the point (0, 1).

g(x) goes through (2, 1) for the same y value.

that means g(x) is f(x) translated 2 units to the right.

but we could also look at the same x value (0).

then g(x) goes through (0, -5).

and that means g(x) is f(x) translated 6 units down.

since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.

as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.

that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5

and that is what the graph is showing us.

[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1a) (x + 2)(x + 5)

⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)

⇒ (x²) + (5x) + (2x) + (10)

⇒ (x²) + (5 + 2)x + (10)

⇒ (x²) + (7)x + (10)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1b) (x + 2)(x - 3)

⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)

⇒ (x²) + (-3x) + (2x) + (-6)

⇒ (x²) + (-3 + 2)x + (-6)

⇒ x² + (-1)x - 6 = x² - x - 6

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

40 America-nos

Explanation:

make proportional equation

Answer:

Step-by-step explanation:

Use ratios

Solve for x

Answer: 1.1

Step-by-step explanation:

    To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:

1 - 3 = -2 -> |-2| = 2

2 - 3 = -1 -> |-1| = 1

2 - 3 = -1 -> |-1| = 1

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

5 - 3 = 2

-

[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]

[tex]\frac{8}{7}[/tex]

1.14

      The mean absolute deviation is about 1.1

The angles m∠x = m∠y because alternate interior angles are equal.

A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.

The opposite angles are also congruent, whereas consecutive interior angles are supplementary.

In the quadrilateral ABCD:

m∠x = m∠y (alternate interior angles are equal)

The angles m∠x = m∠y because alternate interior angles are equal.

Find out more on parallelogram at: https://brainly.com/question/970600

Using the normal distribituion, it is found that 2.28% of of scores were less than 40.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given by, respectively:

[tex]\mu = 52, \sigma = 6[/tex].

The proportion of scores that were less than 40​ is the p-value of Z when X = 40, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 52}{6}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

2.28% of of scores were less than 40.

More can be learned about the normal distribituion at https://brainly.com/question/24663213

Answer:

4 5/6

Step-by-step explanation:

10 1/2 - 5 2/3

5 3/6- 4/6

4 9/6-4/6

4 5/6

Answer:

x=3,2

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

Step-by-step explanation:

Sum = coefficient of x = -5

Product = constant * coefficient of x² = 1 * 6 = 6

Factors = (-2) , (-3)

When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5

Using this factors rewrite the middle terms

x² - 5x + 6 = 0

x² - 3x - 2x + (-2)*(-3) = 0

x(x - 3) - 2(x - 3) = 0

(x - 3)(x-2)=0

x - 3 = 0          ; x -2 =0

   x = 3            ; x = 2

Solution: x = 2 , 3

Answer:

59.5 here 4 minute late but i hope it helps

Step-by-step explanation:

Answer:

I would say 120 but that could be also be wrong but ill go with 120

Answer:

20% of 500, 20% of 100, 5% of 100

Step-by-step explanation:

20% of 100 = 20

20% of 500 = 100

5% of 100 = 5