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3 years ago

Irene made a mistake when she solved this inequality:

Mathematics

1 answer:

just olya [345]3 years ago

3 0

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

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How to do complete the number line using the following fractions

Sloan [31]

You line them up from smallest to greatest

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3 years ago

See pictures attached below. Will give Brainliest!

Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

Centerpieces --> 7/4 hours

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

Balloons --> 15/16 hours

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

8 0

2 years ago

A license plate consists of two letters followed by two digits; for example, $MP78$. Neither the digits nor the letters may be r

alex41 [277]

If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as n $C_{r}$ =n!/r!(n-r)!

Number of license plates=26 $C_{1}$ *25 $C_{1}$

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Learn more about combinations at brainly.com/question/11732255

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3 0

1 year ago

HELP you purchase a car using a $22,000 loan with a 6% simple interest rate for 5 years

Hunter-Best [27]

Answer: (a) $6,600

(b) $28,600

Step-by-step explanation:

Interest (I) = Principal (P) x rate (r) x time (t)

I = 22,000(0.06)(5)

= 6,600

Accrued (A) = Principal (P) + Interest (I)

A = 22,000 + 6,600

= 28,600

7 0

3 years ago

Factor this expression fully <img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%28x%20-%201%29%20-%209x%28x%20-%201%29%2

AnnZ [28]

Answer:

1,0

Step-by-step explanation:

No need to expand look at the roots of the brackets.

(x-1)=0

x=1

x^2 and -9x have roots 0

Think of it as whatever sets the expression to 0.

8 0

3 years ago