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sdas [7]
3 years ago
5

The 59th and 4th team of an Ap are - 61 and 64 respectively. Show that the common differences is - 2.5 and 23rd term is 16.5​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0

Answer:

See answers below

Step-by-step explanation:

T59 = a+58d = -61

T4 = a+3d = 64.

Subtract

58d-3d = -61-64

-55d = -125

d =125/55

d = 25/11

Get a;

From 2

a+3d = 64

a+3(25/11) = 64

a = 64-75/11

a = 704-75/11

a = 629/11

T23 = a+22d

T23 = 629/11+22(25/11)

T23 = 1179/11

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-6h - 13 - (-21) - 4h
bagirrra123 [75]

Answer:

-10h+8

Step-by-step explanation:

First, let's open the brackets:

-6h-13+21-4h (two -'s make a +)

This is equal to -10h + 8

8 0
2 years ago
Read 2 more answers
Can someone help me with this question?
KonstantinChe [14]
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8 0
2 years ago
How many pints will you get from 112 cups
xxTIMURxx [149]

Answer:

56 pints

Step-by-step explanation:

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4 0
3 years ago
Help my grade depends on it
Veseljchak [2.6K]
Lily made $75.36 more than Layla did.  If Layla raised her price to $1.00, she would still not make more money than Lily.

Use a proportion to find the number of cupcakes Lily makes in 8 hours.  She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):

7/10 = x/480

Cross multiply:
7*480 = 10*x
3360 = 10x

Divide both sides by 10:
3360/10 = 10x/10
336 = x

Lily bakes 336 cupcakes.

She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.

Each cupcake is sold for $1.29; 224(1.29) = 288.96

To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion.  We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:

8/12 = x/480
8*480 = 12*x
3840 = 12x

Divide both sides by 12:
3840/12 = 12x/12
320 = x

She bakes 320 cupcakes.  She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240

Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60

This means Lily makes 288.96-213.60 = 75.36 more than Layla.

If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
6 0
3 years ago
There is a function p, wher p(X) represents the perceent of aldult in the united states who owned a x years after 2011. What doe
masya89 [10]

Given: p(x) represents the percent of adults in the US who owned a <em><u>widget</u></em>  

Given: x represents the number of years after 2011

Answer:

p(5)= 68 means:

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        5 years after 2011


⇒    68% of adults owned a <em><u>widget</u></em> in 2016

6 0
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