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grigory [225]
2 years ago
15

15 points show work help asap

Mathematics
1 answer:
bulgar [2K]2 years ago
7 0

Answer:

x<5

Step-by-step explanation:

-8+x<-3

x<-3+8

x<5

On the number line, you express this as the non-filled circle arrow (the filled circle one is for greater or less than AND equal to or these signs, ≤ ≥) and put it on 5 with the arrow pointing all the way down the left, as x is any number less than 5. There is an attachment of what it should look like, if it helps further.

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10(a-2.5+0.56b) is this equivalent to 10a - 25+56b
kirill115 [55]

Hey there!

10(a - 2.5 + 0.56b)

= 10(a) + 10(-2.5) + 10(0.56b)

= 10a - 25 + 5.6b

= 10a + 5.6b - 25

Therefore, your answer is: 10a + 5.6b - 25

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
A batch of snack mix made of dried fruit and nuts contain 744G of nuts the ratio of nuts to dried fruit by weight is 12 to 13 ho
Bezzdna [24]

In a bag of snack mix:

n = nuts       d = dried fruit

n = 744g        d = ???g

Ratio Nuts/Dried fruit = 12/13

This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits

If 744 is 12 parts then 744/12 is 1 part

744/12 = 62

1 part = 62g

there are 13 parts of dried fruit

13 x 62 = 806

744g of nuts + 806g of dreid fruit = 1550g

Answer: A batch of snack mix weigh 1550g, or 1.55kg

hope it helps :)

6 0
3 years ago
They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
alex41 [277]

Answer:

A. Area of ABCD = 240 cm^{2}

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A.  Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

                                                     = 24 x 10

                                                     = 240 cm^{2}

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

BD^{2} = BC^{2} + DC^{2}

       = 10^{2} + 24^{2}

       = 676

BD = \sqrt{676}

     = 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

                                         =   60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

     = 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

                                                                 = 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

                                                                 = 50 cm

       

7 0
3 years ago
What is the solution to the following inequality?<br> -82 ≤ 5v + 3
olga nikolaevna [1]

Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

3 0
3 years ago
Makers Corp. had additions to retained earnings for the year just ended of $205000. The firm paid out $185000 in cash divends, a
forsale [732]

Answer:

3.9

Step-by-step explanation:

The retained earnings for the year is $205,000

The firm paid out $185,000 in cash dividend

It has total equity of$4.90 million

100,000 common shares are outstanding

Therefore the earnings per share van be calculated as follows

= 205,000+185,000/100,000

= 390,000/100,000

= 3.9

Hence the earnings per share is $3.9

6 0
3 years ago
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