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3 years ago

How should the decimal point in 4.003 be moved to determine the product of 100 × 4.003?

Mathematics

1 answer:

tangare [24]3 years ago

7 0

Answer:

Two places to the right.

Step-by-step explanation:

Since theres two zeros in 100, move the decimal two places to the right, making it 400.3.

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Use the graph below to estimate the solution to the system of equations shown.

Mila [183]

Answer: The second choice is answer.

Step-by-step explanation:

<h3>The first line (Blue One)</h3>

$y=-x-3$ (Slope is -1 and intercepts y at -3)

<h3>The second one (Red One)</h3>

$y=2x-8$ (Slope is 2, to find y-intercept. Substitute x = 0 then we get -8) (For x-intercept, it's 4. Just substitute y=0 to get x-intercept.)

Because there are choices, it's easy to notice.

The first one, x = -4 and almost -5 which is not right. (x is around 1 almost 2.)

The second one, x = 1 and almost 2 is right.

The third one, x = -1 and almost -2 is not right (The intersection isn't even at -1 or any negative number for x-axis.)

The fourth one, just like the first one... x = 4 almost 5

<h3>Or solve the equations.</h3>

$y=-x-3\\y=2x-8$

Substitute y=2x-8 in y=-x-3

$2x-8=-x-3\\2x-8+x+3=0\\3x-5=0\\3x=5\\x=\frac{5}{3}\\(x=1\frac{2}{3})$

Look at the value of x then find the answer that matches the value of x.

Now for y, substitute x = 5/3 in y = -x-3 (or in 2x-8 if you want.)

$y=-\frac{5}{3} -3\\y=-\frac{5}{3} -\frac{9}{3} \\y=-\frac{14}{3} \\(y=-4\frac{2}{3} )$

So the answer is the second choice.

6 0

3 years ago

What is the measure of RSP in the diagram below

kirill [66]

The answer would be 58 degrees. You have to add the measure of R and P, and since a triangle is a total of 180 degrees, you subtract the sum and R and P from 180 and get your answer. Hope this helps!

4 0

3 years ago

Blain exchanges $100 for yen before going to Japan. If each U.S. dollar is worth 88.353 yen, how many yen should Blain receive?

Tcecarenko [31]

To figure out how many yen all ya have to do is multiply 88.353 by 100 to get the answer 8835.3 yen.

5 0

3 years ago

Read 2 more answers

PLEASE ANSWER QUICKLY!!!!

nikitadnepr [17]

It’s kinda blurry, can u retake it

7 0

3 years ago

LT1 10th grade level

Anton [14]

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = $\overline{EF}$ / $\overline{BC}$

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides $\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = 50 ft. /(100 ft.) = $\overline{EF}$ / $\overline{BC}$ = $\overline{EF}$ /120 ft.

$\overline{EF}$ = 120 ft. × 50 ft./(100 ft.) = 60 ft.

$\overline{EF}$ = 60 ft.

The distance between the pirate and the treasure, $\overline{EF}$ = 60 ft.

4 0

3 years ago