Use the equation y=2x-5
To find y when x=3z

Answer:

Common Difference: [tex]-\frac{1}{2}[/tex]

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or [tex]-\frac{1}{2}[/tex], and we can conclude that [tex]n^{th}[/tex] number is [tex]3 - 0.5(n-1)[/tex]. So the 9th term is,

[tex]3 - 0.5(9 - 1)\\= -1[/tex]

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

Answer:

29,100

Step-by-step Explanation

Multiply the annual tuition by 4. then subtract that by what he saved

Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

Answer:

10

Step-by-step explanation:

I'm stuck on that question too but I would say 10

Answer:

The answer is 10 :))

Step-by-step explanation:

Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Answer:

the value of x=69 ft approx.

Answer:

[tex]\Large \boxed{\sf 69.02 \ ft}[/tex]

Step-by-step explanation:

Solve for w  using Pythagorean Theorem

[tex]\displaystyle w=\sqrt{77^2-22^2} =33\sqrt{5}[/tex]

Solve for z  using Pythagorean Theorem

[tex]\displaystyle z=\sqrt{(87.5)^2-(33\sqrt{5} )^2} = 47.02[/tex]

Find value of x

[tex]x=VY+YK[/tex]

[tex]22+47.02=69.02[/tex]

Answer:

39%

Step-by-step explanation:

83-last price

83 last price

100 x ?

100 * last price = 83 . x

x= 39

Answer:

950kg

Fruits = 3052.06

vegetables = 2712.94

$0.12

$0.44

Step-by-step explanation:

The first step is to determine the total tonnes of fruits and vegetables sold

7/12 x b = 2.28

b = 2.28 tonnes

Next we determine the tonnes of fruits sold

5/12 x 2.28 = 0.95 tonnes

Next we convert tonnes to kg

1 tonne = 1000kg

0.95 x 1000 = 950 kg

Money he received from selling fruits = 9/17 x $5765 = $3052.06

Money he received from selling vegetables = $5765 - $3052.06 = $2712.94

If price was reduced by 40%, price would be (100-40%) 60% of the original price

0.6 x 0.35 = $0.21

If price was increased by 25%, price would be (100 + 25) 125% of the original price

1.25 x 0.35 = $0.44

In this exercise we have to use the knowledge of finance and percentage to calculate the values ​​of vegetables and fruits:

A)[tex]950\ kg[/tex]

B)Fruits: [tex]\$ 3052.06[/tex] and Vegetables: [tex]\$ 2712.94[/tex]

C)[tex]\$0.12[/tex]

D)[tex]\$0.44[/tex]

The first step is to determine the total tonnes of fruits and vegetables sold:

[tex](7/12)*( b )= 2.28\\b = 2.28\ tonnes[/tex]

Next we determine the tonnes of fruits sold:

[tex](5/12)*( 2.28) = 0.95 \ tonnes[/tex]

Next we convert tonnes to kg:

[tex]1 \ tonne = 1000 \ kg\\(0.95)*( 1000) = 950\ kg[/tex]

If price was reduced by 40%, price would be 60% of the original price, so:

[tex](0.6)*(0.35) = \$0.21[/tex]

If price was increased by 25%, price would be 125% of the original price, will be:  

[tex](1.25)*(0.35) = \$0.44[/tex]

See more about finances at brainly.com/question/10024737

Answer:

112°

Step-by-step explanation:

50 + 62 = 112

Answer:

(6 , 9)

Step-by-step explanation:

Answer:

6.5 cm

Step-by-step explanation:

0.5/0.25 = 2

13/2 = 6.5

Answer: 3

Step-by-step explanation:

Answer:

the answer is 3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

hope the diagram helps haha

Question:

A shop is having a sales all items are reduced by 25%. Work out the sale price of an item normally priced at £60?

Answer:

The new price is £45

Step-by-step explanation:

Given

[tex]Sales\ price = \pounds 60[/tex]

[tex]Rate = 25\%[/tex]

First, calculate the reduction

[tex]Reduction = Rate * Sales\ price[/tex]

[tex]Reduction = 25\% * \pounds 60[/tex]

[tex]Reduction = \pounds 15[/tex]

The new price is:

[tex]New = Sales\ price - Reduction[/tex]

[tex]New = \pounds 60 - \pounds 15[/tex]

[tex]New = \pounds 45[/tex]

Answer:

Step-by-step explanation:

Inscribed angle is half the measure of the intercepted arc

Correct choice is B

Answer:

The correct answers are:

A. The Vertical axis should be labelled as the Number of Jars for Each Flavour

B. an interval of 7 could be appropriate

Step-by-step explanation:

A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.

B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.

Answer:

12n + 2

Step-by-step explanation:

[tex]w(n) = un + 2[/tex]

[tex]w(3n) = 4(3n) + 2[/tex]

[tex]ans = 12n + 2[/tex]

hope it helps you

have a great day!!

Answer:

The answer is B

Because the train will stop and speed decreases with increasing time

Answer:

Step-by-step explanation:

1) 10:18=5:9

2) 15:21=5:7

3) 10:100=20:200

4) 12:28=3:7

5) 48:54=8:9

6) 36:75=12:25

7) 56:120=3.733:8

8) 18:24=6:8

9) 2:4=1:2

10) 45:60=15:20

11) 45:65=9:13

12) 180:210=30:35

13) 63:72=7:8

14) 48:72=4:6

15) 60:100=6:10

16) 36:108=6:18

17) 3:9=1:3

18) 72:180=8:20

19) 81:126=9:14

20) 22:33=2:3

Answer:

1. 15 :21=5:7

2. 10:100=20:200

3. 12:28=3:7

4. 48:54=8:9

5. 36:75=12:25

6. 56:120=3.73..:8

7. 2:4=1:2

8. 45:60=15:20

9. 45:65=9:13

10. 180:210=30:35

11. 63:72=7:8

12. 48:72=4:6

13. 60:100=6:10

14. 36:108=6:18

15. 3:9=1:3

16. 72:180=8:20

17. 81:126=9:14

18. 22:33=2:3

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14

it is C because x dont reapeat

Answer:  The y-intercept would be -2

Step-by-step explanation:  To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.)  We know its -2 also because of the unit amount of the graph itself.  The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1.  This is how I know my answer is correct.  I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)

Answer:

Angle 1

Step-by-step explanation:

corresponding angles are angles that are congruent and on the same side if that makes sense

Look at image for reference

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

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

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

To learn more about equations click :

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Answer:

20

Step-by-step explanation:

Answer:

5 * w = 15

w= 3

Hope this helps!

Answer:

5•15=w

(Is this subtracting from the total?)

was there more to this question that you didn’t include?

Answer:

Step-by-step explanation:

Number of animals after 5 years: