All categories

10 months ago

Enter the value for x that makes the given equation true.10x-7(3x+8)=-26x+4

Mathematics

1 answer:

mylen [45]10 months ago

3 0

10x-7(3x+8)=-26x+4

first you have to isolate the variable

then you divide each side by factores that don't contain the vairable

for this problem if you follow those steps

X=4

-7(3x+8)=-36x+4

-11(3x+8)=-36x+4

You might be interested in

15/60=3/4 are they equivalent

Dvinal [7]

15/60 simplified is 1/4

1/4 is not equal to 3/4

4 0

2 years ago

2.Each purse contains 8 coins. Find a rule to give the total number of coins.

Masja [62]

If we have to find the total number of coins then we can use the following rule:

If Each Purse Contains 8coins ,then we can find total number of coins by multiplying 8 to the number of total purse

Thus,

︎⠀⠀ ⠀⠀ ⠀⠀ ⠀︎⠀⠀ ⠀⠀ ⠀8×Total Number of Purse.

4 0

1 year ago

Explain why the exponents cannot be added in the product 12 to the power of three times 11 to the power of 3

egoroff_w [7]

Normally, we could add exponents.
however, that only is possible when the bases are the same
recall what exponents mean

12³=12*12*12

so we cannot add exponents for 12³*11³ because that means 12*12*12*11*11*11
it would not equal 12⁶ or 11⁶

or you could refer to the rule
$(x^a)(x^b)=x^{a+b}$
notice when x=x then we can add the bases

fun fact below
we can reverse a previous exponential rule like this
since $(ab)^c=(a^c)(b^c)$ then $(a^c)(b^c)=(ab)^c$
therefor
$12^3*11^3=(12*11)^3$

we can't add the exponents because the bases are not the same

5 0

2 years ago

A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

zysi [14]

Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h

The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.

Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)

Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³

5 0

2 years ago

simon makes 30 cakes gives 1/5 of the cakes to sali. He gives 10% of the 30 cakes to jane what fraction of the fake cakes does h

dexar [7]

Total number of cakes made by Simon = 30 cakes.

Number of cakes gave to Sali = 1/5 Of total cakes = 1/5 * 30 = 6 cakes.

Number of the cakes gave to Jane = 10% of 30 cakes

10% can be written as 10/100 in fracions and in decimals it would be 0.10.

Therefore, 10% of 30 cakes = 0.10 times 30 = 3 cakes.

Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane = 30-6-3

Therefore, Total number of cakes left = 21.

21 cakes left our of 30 cakes.

21 out of 30 could be written in fracion form as 21/30.

We can reduce this fracion in simplest form by dividing top and bottom by 3, we get

7/10.

Therefore, 7/10 fraction of the cakes does he have left.

8 0

2 years ago