Sophia exchanged 1000 U.S. dollars for the South African currency which is called the rand. The exchange rate was 8.05 rand to 1 dollar please explain how you know

Answer:

x=3

Step-by-step explanation:

Assuming X3 means 3x, then you would have:

5x+3 = 18, 5x = 15, x=3

Answer:

Tony spent $101.

Step-by-step explanation:

11*6 = 66

7*5 = 35

66+35 = 101

Answer:

0.81-3=0.27

Step-by-step explanation:

0.81-3=0.27 it

It is similar to 3.21÷3=1.07 this is division

Answer:we have that

k² x³-6kx+9

we know that

The Remainder Theorem says: If the polynomial f(x) is divisible by a bynomial (x-a) then the number "a" is a root of the polynomial f(x)

so

x=1  is a root of the polynomial

therefore

for x=1

k² x³-6kx+9=0--------> k² (1)³-6k(1)+9=0-----> k²-6k+9=0

using a graph tool------> to resolve the second order equation

the solution is

k=3

k=3

k²-6k+9=0---------> (k-3)²=0

the answer is

k=3

Answer:

Ok so if I did this right the answer will be  2ky^kx-8 / x   -2

Answer:

The original price of the shoes was of 2200 pesos

Step-by-step explanation:

She bought the shoes for 1866 pesos.

She receibed a discount of 70 pesos, so the cost, with the discount, is 1866 + 70 = 1936 pesos.

The pair was bought at 12% off, that is, 1936 pesos is 100 - 12 = 88% of the original price. Then

[tex]0.88x = 1936[/tex]

[tex]x = \frac{1936}{0.88}[/tex]

[tex]x = 2200[/tex]

The original price of the shoes was of 2200 pesos

Answer:

mean 74.714285714286

median 72

mode 72

range 34

Step-by-step explanation:

Answer:

Mean: 74.71

Median: 72

Mode: 72

Range: 34

Step-by-step explanation:

First, let's define what each of these terms mean:

Mean: the average of the data

Median: the number in the middle after being put in ascending order

Mode: the number listed the most

Range: the highest number minus the smallest number

To find the mean, just add up all the numbers and divide by how many there are. First, add up all the numbers in the set. This should give you 1,046. Next, divide by how many terms there are. Since there are 14 terms in this set, we'll be dividing 1,046 by 14. This will give us a mean of 74.71 or 75 if you're rounding up.

To find the median, you'll first need to put the terms in ascending order, meaning from lowest to highest. Luckily, the set is already in ascending order, so that step is not necessary here. Next, you're going to find the number in the middle of the set. However, since there are an even number of terms, we have two numbers in the middle: 72 and 72. To find the median with two numbers in the middle, just add both terms up and divide by 2. However, since both terms are 72, this step is also not necessary. Our median is simply 72.

To find the mode, you're just looking for the number that appears the most. In this case, it would be 72 since it appears more than any other number in the set (5 times.)

Last, to find the range, just subtract the lowest number from the highest number in the set. With the highest number being 93 and the lowest being 59, just do 93 - 59 for a range of 34. Please let me know if you have any further questions!

Answer:

it is 6(y-2)

Step-by-step explanation:

Answer:

The answer for this question is 1.23

Step-by-step explanation:

Surface area of rectangular prism

= 2lw + 2lh + 2wh

= 2(10)(4) + 2(10)(5) + 2(4)(5)

= 80 + 100 + 40 = 220 square inches.

Volume of rectangular prism

= lwh

= (10)(4)(5)

= 200 cubic inches.

Answer:

(A ruler) = X  (a pen) = Y

y = x+10

Step-by-step explanation:

Answer:

A ruler cost x pence.

Pen costs 10 pence more than the ruler

Step-by-step explanation:

Total cost

= Cost of tools + Cost of materials

= $130 + 100 * $10

= $1,130.

Answer:

5√10

Step-by-step explanation:

The distance between two points A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) on the coordinate plane is given by:

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }[/tex]

From the image attached the coordinates of the points are E(-1, -1), F(8, -4), C(-7, -4) and D(-1, 2).

Hence the lengths of the line segment EF and CD are:

[tex]|EF|=\sqrt{(8-(-1))^2+(-4-(-1))^2} =\sqrt{90}=3\sqrt{10} \\\\CD=\sqrt{(-1-(-7))^2+(-2-(-4))^2}=\sqrt{40} =2\sqrt{10} \\\\Therefore:\\\\|EF|+|CD|=3\sqrt{10} +2\sqrt{10} =5\sqrt{10}[/tex]

Answer:

2 green apples

Step-by-step explanation:

you need to find 3 times ___ = 6 so you do 6 divided by 3 and get 2!

Answer:

When rotating a point 180 degrees counterclockwise about the origin

(1,0)→(-1,0)

Step-by-step explanation:

Explanation:-

When rotating a point 180 degrees counterclockwise about the origin

(x,y) →(-x,-y)

Given point ( x,y) = (1,0)

When rotating a point 180 degrees counterclockwise about the origin

(1,0)→ (-1,-0)

(1,0)→(-1,0)

Answer:

Step-by-step explanation:

Even number smaller than 48 but not greater than 30 i am multiple of 6:

Factor of 72:

So the number is 36

The percentage of students who scored above 520 is 0.13%.

Given data:

To determine the approximate percentage of students who scored above 520, use the concept of standard deviations.

Given that the mean score is 400 and the standard deviation is 40, calculate the z-score for the value of 520 using the formula:

z = (x - mean) / standard deviation

where x is the value of interest.

So, x = 520, mean = 400, and standard deviation = 40. Plugging in these values:

z = (520 - 400) / 40

z = 120 / 40

z = 3

The z-score of 3 represents a value that is 3 standard deviations above the mean.

To find the approximate percentage of students above 520, we can refer to the standard normal distribution table (also known as the Z-table). Looking up the z-score of 3 in the table, the area to the left of this z-score is approximately 0.9987.

To find the percentage above 520, subtract this value from 1 to find the area to the right of the z-score:

1 - 0.9987 = 0.0013

Hence, approximately 0.13% of students scored above 520 in the test.

To learn more about z-score, refer:

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9514 1404 393

Answer:

  4

Step-by-step explanation:

Assuming the given numbers are supposed to be (x, y) ordered pairs, the slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -3)/(-4 -(-3)) = -4/-1 = 4

The slope of the line through the points (-3, 3) and (-4, -1) is 4.

Answer:

it is e hope it helps :)

Step-by-step explanation:

Answer:

1 liters

Step-by-step explanation:

Answer:

35° , 55°

Step-by-step explanation:

Let one angle be x.

It's complementary angle is = (90 - x)°

According to the question ,

[tex]x - (90 - x) = 20[/tex]

[tex]=> x - 90 + x = 20[/tex]

[tex]=> 2x = 90 - 20 = 70[/tex]

[tex]=> x = \frac{70}{2} = 35[/tex]

Answer: =−14a3−2a2+12

Step-by-step explanation:

−5a3−7a2+3−9a3+5a2+9

=−5a3+−7a2+3+−9a3+5a2+9

Combine Like Terms:

=−5a3+−7a2+3+−9a3+5a2+9

=(−5a3+−9a3)+(−7a2+5a2)+(3+9)

=−14a3+−2a2+12

Answer:

=−14a3−2a2+12

Answer

A: c (c-2)/ 2 (c +2)

Step-by-step explanation:

Which is equal to c^2-4c+4/ 12c^3+ 30c^2 divided by c^2-4/ 6c^4 +15c^3?

A: c (c-2)/ 2 (c +2)

B: 2 (c-2)/ c(c+2)

C: 2 (c+2)/ c(c-2)

D: c(c+2)/ 2(c-2)

[c^2 - 4c + 4] / [12×(c^3) + 30×(c^2)] ÷ [c^2 - 4] / [6×(c^4) +15×(c^3)]

Expand the expression

= [c^2 - 2×2×c + 2^2] / [6×(c^2)×(2c + 5)] ÷ [c^2 - 2^2] / [3×(c^3)×(2c +5)]

Factorize the expression

= [(c-2)^2] / [6×(c^2)×(2c + 5)] ÷ [(c-2)(c+2)] / [3×(c^3)×(2c +5)]

Multiply by interchanging the numerator and denominator of the divisor

= [(c-2)^2] / [6×(c^2)(2c + 5)] × [3(c^3)(2c +5)] / [(c-2)(c+2)]

= [(c-2)×3(c^3)] / [6×(c^2)×(c+2)]

= [c×(c-2)] / [2×(c+2)]

= c(c - 2) / 2(c + 2)

[c^2 - 4c + 4] / [12×(c^3) + 30×(c^2)] ÷ [c^2 - 4] / [6×(c^4) +15×(c^3)] = c(c - 2) / 2(c + 2)

Answer:

A: [tex]\frac{c(c-2)}{2(c+2)}[/tex]

Step-by-step explanation:

[tex]\frac{c^{2} -4c+4}{12c^{3} + 30c^{2}}[/tex] ÷  [tex]\frac{c^{2} -4}{6c^{4} + 15c^{3}}[/tex]

expand.  

= [c^2 - 2×2×c + 2^2] / [6×(c^2)×(2c + 5)] ÷ [c^2 - 2^2] / [3×(c^3)×(2c +5)]

factorize.

= [(c-2)^2] / [6×(c^2)×(2c + 5)] ÷ [(c-2)(c+2)] / [3×(c^3)×(2c +5)]

multiply by the reciprocal.

= [(c-2)^2] / [6×(c^2)(2c + 5)] × [3(c^3)(2c +5)] / [(c-2)(c+2)]

= [(c-2)×3(c^3)] / [6×(c^2)×(c+2)]

= [c×(c-2)] / [2×(c+2)]

= A: [tex]\frac{c(c-2)}{2(c+2)}[/tex]

Answer:

117°

Step-by-step explanation:

Angle of straight line is 180°

Angles in a triangle add up to 180°

starting at right

180 - 101 = 79° at right side angle in triangle

now solving left side angle

180 - 38 - 79 = 63°

now solving x using left side angle, must add to 180°

x + 63 = 180°

x = 117°

x is an exterior angle of the triangle and its measure is 117 degrees.

Given,

Triangle with interior and exterior angles.

Linear pair : ∠x + ∠y = 180 degrees.

Angle of straight line is 180°(Linear pair).

180 - 101 = 79°

Angle sum property: Sum of all the angles in a triangle add up to 180° .

So,

180 - 38 - 79 = 63°

Now solving x,

Angles must add to 180° in a straight line.

x + 63 = 180°

x = 117°

Therefore measure of angle x in the triangle is 117 degrees.

Know more about triangle,

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Answer:

20025

Step-by-step explanation:

the answer is

20.025 m

= 20.025×1000 cm

= 20025 cm

Answer:1 sticker

Step-by-step explanation:because 56 is not a multiple of 6

Answer:

Option 2 Andrew and Jason rode bikes to the park after Andrew finished his morning chores

Answer:

1/3

Step-by-step explanation:

if you're excluding 1 you can only role 3 and 5, which are divisors of 15.  so that is 2 of 6 sides 2/6=1/3