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3 years ago

Find the sum and express it in simplest form? (-b-c+8)+(7b-7c-9)

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

-b + 7b = 6b
-c + (-7c) = -8c
8 + (-9) = -1

therefore the answer 6b - 8c - 1

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Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i

zubka84 [21]

Answer:

$35\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=7\\r=3$

substitute

$C(7,3)=\frac{7!}{3!(7-3)!}\\\\C(7,3)=\frac{7!}{3!(4)!}$

simplify

$C(7,3)=\frac{(7)(6)(5)4!}{3!(4)!}$

$C(7,3)=\frac{(7)(6)(5)}{3!}$

$C(7,3)=\frac{(7)(6)(5)}{(3)(2)(1)}$

$C(7,3)=35\ ways$

6 0

3 years ago

Factor the expression. 9b2 – 25 a. (5b + 3)(5b – 3) b. (3b – 5)(3b – 5) c. (3b + 5)(3b + 5) d. (3b + 5)(3b – 5)

Snowcat [4.5K]

Answer:

Dear user,

Answer to your query is provided below

Option (d) is correct.

Step-by-step explanation:

Explanation of the same is attached in image

4 0

3 years ago

SAM now has 30ml of pop to share equally into glasses.

crimeas [40]

So whole ml's

30 mls
find what 30 is evenly divisble by
factor 30
30=2 times 3 times 5
therefor
30 is divisble by 2,3,5,6,10,15

so he can divide the glass into 2 sevings which is 30/2=15 ml in each

servings ml    fraction
2 15 15/30=1/2
3 10 10/30=1/3
5 6    6/30=1/5
6 5 5/30=1/6
10    3 3/30=1/10
15 2 2/30=1/15

7 0

3 years ago

Natalie works in a shop and earn $43 per day. She earns an extra $3 for each toy she sells. If Natalie wants to earn at least $7

Pachacha [2.7K]

This would be your answer 43 + 3n ≥ 70, so n ≥ 9

I hape this help

7 0

3 years ago

Read 2 more answers

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

Vladimir79 [104]

Given

Sofia cuts a piece in the shape of a kite for an art project

top two sides measure 20 cm each

bottom two sides measure 13 cm each.

One diagonal, EG, measures 24 cm

Find out the length of the other diagonal, DF.

To proof

As given in the question and also shown in the diagram shown below

DE = EF = 20cm

DG = GF = 13cm

EG = 24cm

DF = ?

In kite shape

One diagonal is the perpendicular bisector of the other diagonal.

i.e EG is the perpendicular bisector of DF

i.e EG is divided into two equal parts

thus EA = AG = 12cm

in Δ EAF

By applying the pythagorus theorem

we have

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

$\sqrt{256} =FA$

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

$\sqrt{25} =DA$

5cm = DA

Thus diagonal DF = DA + FA

= 5 + 16

= 21cm

Hence proved

8 0

3 years ago

Read 2 more answers