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34kurt
2 years ago
6

Find the missing terms in each arithmetic sequence 1,__,__,-17 2,__,__,20

Mathematics
1 answer:
Galina-37 [17]2 years ago
4 0

Answer:

-5,-11

8,14

Step-by-step explanation:

Let 's say r the commun difference

1)

1,1+r,1+2r,1+3r=-17

1+3r=-17

3r=-18

r=-6

Sequence is 1,-5,-11,-17

2)

2,2+r,2+2r,2+3r=20

2+3r=20

3r=18

r=6

Sequence is 2,8,14,20

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Hard ratio question.
MrRa [10]

The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.

<h3>Cost of each juice</h3>

Orange :  Lemonade

  3  :  5

After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;

Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)

(3 x 6L)  :  (5 x 6L)

18L  :  30L      

total fizzy juice = 18L + 30L = 48 liters

bottle of orange = (18 L ÷ 2 L) = 9 bottles

bottle of lemonade = (30 L ÷ 3L ) = 10 bottles

cost of orange = 9 x £1.20 = £10.8

cost of lemonade = 10 x £1.50 = £150

Total cost = £10.8 +  £150 =  £25.80 =  2580 P

<h3>Total bottles that will make 48 liters fizzy juice</h3>

250 mL = 0.25 L

0.25L(n) = 48 L

n = 48/0.25

n = 192 bottles

<h3>Cost of each bottle in Penny</h3>

cost = 2580 P/192

cost = 13.44 P

<h3>Amount each bottle should be sold to make a profit of 60%</h3>

A = 100%(initial cost) + 60%(initial cost)

A = 160%(initial cost)

A = 1.6(initial cost)

A = 1.6 x 13.44 P

A = 21.5 P ≈ 22 P

Learn more about profit here: brainly.com/question/1078746

#SPJ1

7 0
2 years ago
a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is
ANTONII [103]

Answer:

(y-30)=2(x-10)

Step-by-step explanation:        

We have been given that a bean plant grows at a constant rate for a month. after 10 days, the plant is 30 centimeters tall. after 20 days, the plant is 50 centimeters tall.

First of all we will find slope of our line using given points.

m=\frac{y_2-y_1}{x_2-x_1}

Upon substituting coordinates of our given points in slope formula we will get,

m=\frac{50-30}{20-10}

m=\frac{20}{10}=2

Therefore, slope of our given line is 2.    

Since the equation of a line in point slope form is (y-y_1)=m(x-x_1).

Upon substituting m=2 and coordinates of one point in above equation we will get,

(y-30)=2(x-10)

Therefore, the equation that models the height of the plant (y) after x days will be (y-30)=2(x-10).

5 0
3 years ago
Read 2 more answers
Kendra drew the graph of G(x). She noticed that it was possible to draw a horizontal line that intersected the graph in two poin
r-ruslan [8.4K]
Answer: option A. The inverse of G(x) is not a function.

Because that means that for some values of x, say x = a and x = b, G(a) = G(b) = Z, then you cannot tell whether the value that generates Z  corresponds to a or b.
3 0
3 years ago
How do I do this man
jeka94

Answer:

D

Step-by-step explanation:

g(x)=-\sqrt[3]{x-1}

3 0
2 years ago
25 POINTS PLEASE HELP
Nesterboy [21]

Answer:

\large\boxed{h(x)=x^3}

Step-by-step explanation:

f(x)=(6x^3-7)^3\\\\(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=6x^3-7\\\\f(x)=(\underbrace{6x^3-7}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3

7 0
3 years ago
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