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3 years ago

7.8number 14 please help it’s due in tomorrow and I really don’t want a detention

Mathematics

1 answer:

Delvig [45]3 years ago

7 0

The filled in dot means inclusive and the hallow dot means exclusive. For an inequality, inclusive will mean it can be equal to that number as well as being less or greater than. Exclusive means the opposite.
In terms of x, the number line shows that -2 <= x < 2.

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Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a

sweet-ann [11.9K]

12-pack for 1.69 is a better buy

Solution:

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

Mike bought a 12-pack for 1.69

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

$cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083$

Thus unit rate of Mike is 0.14083 dollar per pack

Mary bought a 24-pack for 3.18

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

$cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325$

Thus unit rate of Mary is 0.1325 dollars

On comparing both the unit rate

$0.14083>0.1325$

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0

3 years ago

7 to the negative 3rd porwer times 7 to the negative 2nd porwer times 2 the 0 power divided by 7 to negative 1st power times 7 t

Jobisdone [24]

oof

remember some rules

(a/b)(c/d)=(ac)/(bd)

$\frac{x^a}{x^b}=x^{a-b}$

$x^0=1$

$(x^a)(x^b)=x^{a+b}$

$x^{-a}=\frac{1}{x^a}$

$\frac{(7^{-3})(7^{-2})(2^0)}{(7^{-1})(7^{-4})(2^3)}=$

$\frac{(7^{-3-2})(2^0)}{(7^{-1-4})(2^3)}=$

$\frac{(7^{-5})(2^0)}{(7^{-5})(2^3)}=$

$(\frac{7^{-5}}{7^{-5}})(\frac{2^0}{2^3})=$

$(7^{-5-(-5)})(2^{0-3})=$

$(7^0)(2^{-3})=$

$\frac{1}{2^3}=$

$\frac{1}{8}$

7 0

3 years ago

16.4.57 Question Help A box contains eighteen $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill You bl

Rudiy27

Answer:

$ 7.7

Step-by-step explanation:

Given,

There are 18 $1 bills, ten $5 bills, eight $10 bills, three $20 bills, and one $100 bill,

Total number of bills = 18 + 10 + 8 + 3 + 1 = 40,

$\because \text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus,

The probability of $ 1 = $\frac{18}{40}$

The probability of $ 5 = $\frac{10}{40}$

The probability of $ 10 = $\frac{8}{40}$

The probability of $ 20 = $\frac{3}{40}$

The probability of $ 100 = $\frac{1}{40}$

If a bill is selected randomly,

The expected value of the bill

$=\frac{18}{40}\times 1+\frac{10}{40}\times 5+\frac{8}{40}\times 10+\frac{3}{40}\times 20+\frac{1}{40}\times 100$

$=\frac{18+50+80+60+100}{40}$

$=\frac{308}{40}$

= $ 7.7

5 0

3 years ago

(PLEASE HELP ME)(I WILL GIVE YOU BRAINLINEST)Suppose homes in a big city increase in value 13% every year. How much will a home

kolbaska11 [484]

Answer:

$216435

Step-by-step explanation:

Given : Suppose homes in a big city increase in value 13% every year.

To Find: How much will a home that cost $150,000 be worth 3 years later?

Solution:

Principal = $150000

Rate = 13% =0.13

Time = 3 years

Formula : $A=P(1+r)^t$

Now substitute the values in the formula

$A=150000(1+0.13)^3$

$A=216434.55$

So, The cost of home after 3 years will be $216435

Hence Option B is true

3 0

3 years ago

Use the information given to enter an equation in standard form.

Marysya12 [62]

Answer:

The equation in the standard form of the line through the given points is;

y = 3x - 17

Step-by-step explanation:

We start by getting the slope of the line;

m = (y2-y1)/(x2-x1)

m = (7-10)/(8-9) = -3/-1 = 3

The stands equation form is;

y = mx + b

m is slope, b is the y-intercept

so we have

y = 3x + b

To get b, we substitute the coordinates of any of the points

10 = 3(9) + b

10 = 27 + b

b = 10-27

b = -17

So the equation is;

y = 3x - 17

7 0

3 years ago