Choose ALL terms like 5x?
92
No answer text provided.
-8.7
522
3
43
5
-5.0

Total cases = total pallets x cases per pallet

Total cases = 60 x 10 = 600 cases

600 cases - 180 cases = 420 cases left

Answer: 420 cases

9514 1404 393

Answer:

  a[1] = -10

  a[n] = 12 + a[n-1]

Step-by-step explanation:

First differences are ...

A constant first difference of 12 means this is an arithmetic sequence. Each term is 12 more than the previous, so the recursive rule is ...

  a[1] = -10

  a[n] = 12 + a[n-1]

This is because the nth term is found by adding the previous two terms

F(n) = nth term

F(n-1) = term just before the nth term

F(n-2) = term before the F(n-1) term

F(n) = F(n-1) + F(n-2)

We can re-index values of n to say this equivalent statement

F(n+2) = F(n+1) + F(n)

Based on either equation mentioned, adding F(51) and F(52) will get us F(53). In other words, the 51st and 52nd terms add to the 53rd term.

Answer:

Step-by-step explanation:

Cost per unit of gas = 4.2 pence

Average units of gas used per week = 50.1 units

Total cost of gas per week = Cost per unit of gas × Average units of gas used per week

= 4.2 pence × 50.1

= 210.42 pence

= £ 2.1042

Amount ria pays for gas for 13 weeks = cost of gas per week × number of weeks

= 210.42 pence × 13

= 2,735.46 pence

2,735.46 pence = £ 27.3546

Answer:

x ≈ 52.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{KL}{LM}[/tex] = [tex]\frac{36}{28}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{36}{28}[/tex] ) ≈ 52.1° () to the nearest tenth )

Answer:

[tex] 48 - 20x = 9 [/tex]

Step-by-step explanation:

[tex] 2 - \dfrac{5}{6}x = \dfrac{3}{8} [/tex]

Multiply both sides by the LCD which is 24.

[tex] 24(2 - \dfrac{5}{6}x) = 24(\dfrac{3}{8}) [/tex]

[tex] 48 - 20x = 9 [/tex]

Answer: $32

Step-by-step explanation:

Since the boutique was having a 20% storewide sale and Erica bought 2 dresses which originally cost $80 each, therefore the sale for each dress will be:

= $80 - (20% × $80)

= $80 - (0.2 × $80)

= $80 - $16

= $64

Therefore, on each dress Erica saves $16. The amount of savings enjoyed will then be:

= $16 × 2

= $32

Answer:

Step-by-step explanation:

Answer:  30 cans (buy them by the six-pack; so you'd buy 5 six-packs)

==============================================================

Explanation:

Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.

15/(2.59) = 5.7915 which rounds down to 5.

If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.

-------------

Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80

15/(0.80) = 18.75 which rounds down to 18

We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).

So if you buy individual cans only, then you can get a max of 18 cans.

We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.

the answer is in the picture

Answer:

Step-by-step explanation:

[tex]\frac{14}{4}*\frac{33}{10}=\frac{7}{2}*\frac{33}{10}\\\\ =\frac{7*33}{2*10}\\\\=\frac{231}{20}\\\\=11\frac{11}{20}[/tex]

Answer:

Father=41

Son=19

Step-by-step explanation:

Father=f

Son=s

f+s=60

Eight years ago would mean that 16 is subtracted from 60 since there is both of them

3s+s=4s

4s=44

s=11

11+8=19

33+8=41

Answer:

D

Step-by-step explanation:

The amount of miles increase and the amount of gasoline used increases

Answer:

360th customer

Step-by-step explanation:

To find the customer that will receive both the free popcorn and the free movie rental, we have to list the multiples of 40 and 45 until we get a multiple that is the same for both of them.

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360

360 is the first multiple that is same for multiples of 40 and 45

So the 360th customer will receive both items.

(Sorry if my explanation is hard to understand. I haven't done this kind of math in a while)

Hope it helps (●'◡'●)

Answer:

x ≈ 8.8

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{PQ}{OQ}[/tex] = [tex]\frac{3}{x}[/tex] ( multiply both sides by x )

x × sin20° = 3 ( divide both sides by sin20° )

x = [tex]\frac{3}{sin20}[/tex] ≈ 8.8 ( to the nearest tenth )

Answer:

x = his sister's height = 19 inches

Step-by-step explanation:

Let

x = his sister's height

Jahlil's height is given by the equation:

4x - 6 = 70

4x = 70 + 6

4x = 76

x = 76/4

x = 19 inches

x = his sister's height = 19 inches

Check:

4x - 6 = 70

4(19) - 6 = 70

76 - 6 = 70

70 = 70

Hello,

It is the Fibonacci 's suit.

[tex]u_1=5\\u_2=4\\u_3=u_1+u_2=5+4=9\\u_4=u_2+u_3=4+9=13\\u_5=u_3+u_4=9+13=22\\u_6=13+22=35\\u_7=22+35=57\\u_8=35+57=92\\u_9=57+92=149\\\\\\\boxed{u_{n+2}=u_{n}+u_{n+1}}\\[/tex]

Answer:

143

Step-by-step explanation:

to find the area we multiply half of the sum of the bases with height

(18+8)/2*11 = 143

First graph is the correct one.

when x= 1

y=f(x) = -√1 = -1

when x= 2

y= -√2

Hi there!

[tex]\large\boxed{A. \text{ } 7}[/tex]

The following trapezoidal theorem states that:

Middle segment = average of top and bottom side

Thus:

M = 1/2(b1 + b2)

21 - x = 1/2(17 + 11)

Solve:

21 - x = 1/2(28)

21 - x = 14

Subtract 21 from both sides:

-x = 14 - 21

-x = -7

Multiply both sides by -1:

x = 7

Answer:

35/40

Step-by-step explanation:

To compare, both denominator should be same.

[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

we have to find the greater number between 15/20 and 35/40

To do this,

we have to compare the denominator same.

According to the question,

we have to find the greatest one

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

⠀⠀

[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]

⠀⠀

Answer:

[tex]10^2a^2b[/tex]

Step-by-step explanation:

Exponents are a way of shortening multiplication statements. The exponent represents how many times a term is being multiplied by itself. So, when two terms have the same base it can be written with exponents. For example. 10*10 can be written as [tex]10^2[/tex] because 10 is being multiplied 2 times. Therefore, if we do this with every term you get [tex]10^2a^2b[/tex].

Answer:

25

Step-by-step explanation:

You need to simplify

.

.

.

.

................... :)

Answer:

D

Step-by-step explanation:

9+24-16+8= 25

Answer:

18

Step-by-step explanation:

42+12= 63

63/7=9

9*2=18

Answer:

18

Step-by-step explanation:

plato/edmentum

Answer:

-64 is the 26th number

it's an arithmetic sequence because the difference between the number is constant : -3

they are all -3 in difference

Step-by-step explanation:

an = a1 + (n-1)d

an = the nᵗʰ term in the sequence

a1=the first term in the sequence

d=the common difference between terms

-64 = 11 + (n - 1)-3

-64=11 -3n+3

-78 = -3n

n = 26

Answer:

x=29°

Step-by-step explanation:

as lines are parallel.

external alternate angles are equal.

7x-86=4x+1

7x-4x=1+86

3x=87

x=87/3=29

Answer:

B

Step-by-step explanation:

Firstly, we solve for x

-x ≥ 2 * 4

-x ≥ 8

Multiply both sides by -1

x ≤ -8

So we look at the inequality represented by this;

We can see that the correct inequality is option B;

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Multiply the numbers. For multiplying variables, if they have same variables, add the exponents.

(3a²b⁷)*(5a³b⁸) = 3*5* a²⁺³ *b⁷⁺⁸

                         = 15a⁵b¹⁵

Answer:

A equação da reta é dada por: [tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]

Step-by-step explanation:

Equação de uma reta:

A equação de uma reta tem o seguinte formato:

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

Em que a é o coeficiente angular e b é o coeficiente linear.

Coeficiente angular:

Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.

A(-1, -2) e B(5,2)

Mudança em y: 2 - (-2) = 2 + 2 = 4

Mudança em x: 5 - (-1) = 5 + 1 = 6

Coeficiente angular: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x + b[/tex]

Coeficiente linear:

Substituindo um ponto na equação, encontra-se o coeficiente linear.

B(5,2)

Quando [tex]x = 5, y = 2[/tex]. Então:

[tex]y = \frac{2}{3}x + b[/tex]

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

[tex]b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}[/tex]

Então:

[tex]y = \frac{2}{3}x - \frac{4}{3}[/tex]