In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?

Answer:

The value of x is 56°

Step-by-step explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :

[tex]97 + x + 27 = 180[/tex]

[tex]x + 124 = 180[/tex]

Next you have to solve it by substracting 124 to both sides :

[tex]x + 124 - 124 = 180 - 124[/tex]

[tex]x = 56[/tex]

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

18

Step-by-step explanation:

6500= 200+ 350x

x=18

Answer:

id say eighteen

Step-by-step explanation:

Answers:

a) 6km/hour

b) 10 minutes

Step-by-step explanation:

a) after 30 minutes, Jo had walked 3km which means that after 1 hour

(30mins x 2), Jo would have walked 6km (3km x 2).

∴ Jo walks 6km/hour for the first 30 minutes

b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins

∴ Jo's rest was 10 mins long

Hope this helps :-)

Step-by-step explanation:

x²+4-4x+y²=3

x²+y²-4x+1=0

Answer:

?? Bro write the question better

Step-by-step explanation:

Answer:

can you show the planets. or do you want real planets volumes?

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

as the other guy said, scientific notation in simple words is expressing large quantities in terms of being multiplied with powers of 10

hence,

11. 7.5 x 10^6

12. 2.9 x 10^5

13. 3.7 x 10^(-4)

14. 1.26 x 10^4

15. 2 x 10^(-7)

16. 4 x 10^(-3)

17.6 x 10^7

18. 4.07 x 10^7

19. 8.1 x 10^(-4)

20. 1.25 x 10^(4)

We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.

We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.

[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]

[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]

[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]

[tex]\text{Actual distance}=675\text{ miles}[/tex]

Therefore, the actual distance from Pensacola to Miami is 675 miles.

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

Learn more about the FOIL method here: https://brainly.com/question/27980306

#SPJ6

Answer:

0

Step-by-step explanation:

To simplify you need to distribute then add like terms.

6(3x-5) + 2(3x-5) - 8(3x-5)

18x - 30 + 6x - 10 - 24x + 40

0x + 0

0

Answer:

6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0

Step-by-step explanation:

The expression is,

→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)

Now we have to,

→ Simplify the given expression.

Let's simplify the expression,

→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)

Applying Distributive property:

→ 6(3x) - 6(5) + 2(3x) - 2(5) - 8(3x) - 8(-5)

→ 18x - 30 + 6x - 10 - 24x + 40

Rearranging the expression:

→ 18x + 6x - 24x - 30 - 10 + 40

→ (18 + 6 - 24)x - (30 - 10 + 40)

→ 0x - 0

→ 0 => {final answer}

Therefore, the answer is 0.

Answer:

I think its a right angled triangle

and so x= 90°

Answer:

27, 12, 9, 6, 4, 3

Step-by-step explanation:

please vote me brainliest

Answer:

y = 1/4x - 4

Step-by-step explanation:

If you put the equation in slope-intercept form y=mx+b, then you have y=-4x+3, so the slope is -4. Then take the negative reciprocal of that so you have the perpendicular slope 1/4. Plug in x, y, and, m into the equation and solve for b.

-3 = 1/4(4) + b

-3 = 1 + b

-4 = b, then rewrite the equation with the new slope and the b you found.

y = 1/4x - 4

Answer:

B

Step-by-step explanation:

763 is greater 746

Answer:

if my math is right its B

Answer:

Im guessing this i might be wrong

54 ounces

3 ounces

Step-by-step explanation:

Answer:

To be honest i think 54 ounces and 3 ounces

Step-by-step explanation:

i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz

Answer:

Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...

Step-by-step explanation:

Answer:

-7 degrees

Step-by-step explanation:

Dropping 12 degrees means that it will get colder by 12 degrees. The colder it gets, the lower the temperature. 5 degrees - the current temperature, is going to be dropped by 12 degrees. To calculate this: 5-12 = -7 (degrees)

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

r is 19m

37/360 * 22/7 * 19 * 19

Area = 116.61 m^2

Answer:

180 bricks.

Step-by-step explanation:

The dimensions of the front of the shed are 30 x 12.

30 x 12 = 360

The dimensions of the brick are 2 x 1.

2 x 1 = 2.

360/2 = 180.

Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Step-by-step explanation:

The true statements about the functions f(x) and g(x) are (a), (c) and (d)

The functions are given as:

h(x) = x + 1

j(x) = 3x - 6

From the question, we have:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

Expand the function j(x)

j(x) = f(x) * g(x) = 3 * (x - 2)

By comparison, we have:

f(x) = 3

g(x) = x - 2

f(x) + g(x) = 3 + x - 2

f(x) + g(x) = x + 1

This gives

h(x) = x + 1

By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:

Hence, the true statements are (a), (c) and (d)

Read more about linear functions at:

https://brainly.com/question/4025726

Answer:

21.24°

Step-by-step explanation:

I hope it helps :)

Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 84

 (85+89+90+82+x)/5=86

so x=84

Answer:

(2,5)

Step-by-step explanation:

The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.

Answer:

(2,5)

Step-by-step explanation:

Answer:

43 paperback books

Step-by-step explanation:

7.50(15) + 1.25x = 166.25

112.50 + 1.25x = 166.25

Subtract 112.50 from both sides

(112.50 - 112.50) + 1.25x = (166.25 - 112.50)

1.25x = 53.75

Divide 1.25 from both sides

x = 43

Answer:

x=65

Step-by-step explanation:

145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.

Hope this helps!

Answer:

Mean= $ 1.96

Mode= No mode

Step-by-step explanation:

Mean is the value obtained by dividing the sum of all the observations by their numbers.

Mean is obtained by dividing the total number of the values with the number of values.

Mean= x1+ x2+ x3 + x4/ 4

Mean = $ 1.5 + $ 2.0 + $ 2.15 + $ 2.20/4=  7.85/4=  1.9625or 1.963 or $ 1.96

Mode is the most frequent occurring value in a data set. But since all the values in the given set occur only once the data does not have any mode .

There is no mode because  every value has the same frequency, that is it occurs the same number of times.

Answer:

14.14 cm

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^2[/tex]

In order to find the radius you would first have to divide the area of 628 by pi, this gives you 200. This is because by dividing the area by pi it will leave us with the radius squared.

The next step is to find the square root of 200, this gives us 14.14. This is because by finding the square root it will leave us with the radius. The square root is another number that when multiplied by itself equals the number.

1) Divide 628 by pi.

[tex]628/\pi =200[/tex]

2) Find the square root of 200.

[tex]\sqrt{200}=14.14[/tex]

Pi as in 3.14