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1 year ago

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The approximate areas of two states are listed below. Texas: 2.69\times10^5 square miles Rhode Island: 1.21\times10^3 square mil

es Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.

2 answers:

enot [183]1 year ago

5 0

Answer:

10 times 5 =50 (2.69 x 50) = 134.5

10 times 3=30 (1.21x30)= 36.3

Step-by-step explanation:

Pavlova-9 [17]1 year ago

3 0

Answer:

2.6779*10^5

Step-by-step explanation:

The problem given is 2.69*10^5 - 1.21*10^3 which is 269000-1210=267790 -> 2.6779*10^5

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A greengrocer sells a melon at a profit of 37.5% on the price he pays for it. what is the ratio the cost price to the selling pr

strojnjashka [21]

$\frac{100}{137.5} = \frac{1}{1.375}$ I simply divided by 100 and moved the decimal two places to the left.

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2 years ago

What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and

nikdorinn [45]

Answer:

3.75

Step-by-step explanation:

We have to find the slope of a straight line through points (-5,-10) and (-1,5).

Now. we know the slope of a straight line through the points ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) is given by $[\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ]$ .

So, in our case ( $x_{1},y_{1}$ ) ≡ (-5,-10) and ( $x_{2},y_{2}$ ) ≡ (-1,5).

Therefore, the slope of the line is $\frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75$ (Answer)

7 0

2 years ago

A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar

ololo11 [35]

Answer:

1) Find the probability that a chosen book is nonfiction and hard-covered. P(N ∩ H) = 4/20

2) Find the probability that a chosen book is hard-covered. P(H) = 11/20

3) Calculate the conditional probability. = 4/11

---------------------------------------------------------------------------------------------

1.) 4/20

2.) 11/20

3.) 4/11

7 0

2 years ago

Read 2 more answers

Square $ABCD$ has area $200$. Point $E$ lies on side $\overline{BC}$. Points $F$ and $G$ are the midpoints of $\overline{AE}$ an

Charra [1.4K]

1. Consider square ABCD. You know that

$A_{ABCD}=AD^2=200,$

then

$AB=BC=CD=AD=10\sqrt{2}.$

2. Consider traiangle AED. F is mipoint of AE and G is midpoint of DE, then FG is midline of triangle AED. This means that

$FG=\dfrac{AD}{2}=\dfrac{10\sqrt{2} }{2}=5\sqrt{2}.$

3. Consider trapezoid BFGC. Its area is

$A_{BFGC}=\dfrac{FG+BC}{2}\cdot h,$ where h is the height of trapezoid and is equal to half of AB. Thus,

$A_{BFGC}=\dfrac{FG+BC}{2}\cdot \dfrac{AB}{2}=\dfrac{5\sqrt{2}+10\sqrt{2}}{2}\cdot \dfrac{10\sqrt{2}}{2}=75.$

4.

$A_{BFGC}=A_{BFGE}+A_{EGC},\\A_{EGC}=A_{BFGC}-A_{BFGE}=75-34=41.$

5. Note that angles EGC and CGD are supplementary and

$\sin \angle CGD=\sin \angle EGC.$

Then

$A_{CGD}=\dfrac{1}{2}CG\cdot CD\cdot \sin \angle CGD=\dfrac{1}{2}CG\cdot EG\cdot \sin \angle CGE=A_{ACG}=41.$

Answer: $A_{CGD}=41.$

8 0

2 years ago

Kelly's basketball team made a total of 33 two points and three point baskets in their game last week. If her team scored a tota

vladimir2022 [97]

Answer:

They make <u>27</u> two points basket.

Step-by-step explanation:

Given:

Kelly's basketball team made a total of 33 two points and three point baskets in their game last week.

If her team scored a total of 72 points.

Now, to find the number of two points baskets they make.

Let the two points basket be $x.$

And the three points basket be $y.$

So, total number of two points and three point baskets are:

$x+y=33$

$y=33-x\ \ \ .........(1)$

Now, the total points team scored:

$2x+3y=72$

Substituting the value of $y$ from equation (1) we get:

$2x+3(33-x)=72$

$2x+99-3x=72$

<em>Subtracting both sides by 99 we get:</em>

$2x-3x=-27$

$-x=-27$

<em>Dividing both sides by -1 we get:</em>

$x=27.$

The the two points basket = 27.

Therefore, they make 27 two points basket.

4 0

2 years ago