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3 years ago

Which problem can be represented by the equation 100x+50=710?

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer: The first answer

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

Step-by-step explanation:

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Which sequence of transformations produces R’S’T’ from RST?

inn [45]

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1) reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

6 0

3 years ago

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0

3 years ago

A case of Mountain Dew (24cans) costs $7.68. What is the unit price?

Ronch [10]

Here are the unit rates involved:

$7.68 / 1 case = $7.68 per case

$7.68 / 24 cans = $0.32 per can

1 case / $7.68 = 0.13 case per $

24 cans / $7.68 = 3.125 cans per $

And of course ...

24 cans / 1 case = 24 cans per case

1 case / 24 cans = 0.041666... case per can

5 0

4 years ago

To solve 5/7 - 2/n = 1/21

Usimov [2.4K]

Answer:

the answer is n=3

Step-by-step explanation:

3 0

3 years ago

Construct a parallelogram ABCD such that AB=9 Cm, BC=6cm and ABC=115 degress.

kkurt [141]

1.BD=AC
AC^2=(9^2)+(6^2)-2(9)(6)COS115
AC^2=117-108COS115
AC=√71.358
AC=8.447//