Sarah has started reading a new book. On Saturday she reads 2 15 15 2 ​ of the book. On Sunday she reads a further 1 3 3 1 ​ of the total number of pages in the book. On Monday she reads another 1 5 5 1 ​ of the total number of pages in the book. On Tuesday she finishes the book. What fraction of the book did she read on Tuesday? Write your answer in its simplest form.

The length of the rectangle is 12 cm and the width of the rectangle is 4cm.

The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet. Whether it be a two-dimensional shape or a one-dimensional length, a perimeter is a closed path that contains, surrounds, or delineates it.

Let x is the width

Length=2x+4

Perimeter=sum of all the sides

32=x+x+(2x+4)+(2x+4)

32=6x+8

24=6x

x=4

So, x=4cm is the width.

Now, we have to solve for the length,

Length=2x+4

=2(4)+4

=12cm

So,12cm is the length.

Therefore, the length of the rectangle is 12 cm and the width of the rectangle is 4cm.

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Answer:

 3.98

Step-by-step explanation:

Answer:

the second method may be through graph

Answer:

second answer should be corr3ect tell em if wrong

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

a²+b²=c²

a=10, b=y, c=19

100+y²=361

y²=361-100

y²=261

√y²=√261

y=√261

y=16.2

Cara's first error was not 7 - 13, leading to an incorrect result of -32.

Cara's first error was that she did not evaluate (Negative 4) squared.

The expression in question is not provided, so let's assume it is "6 - 2 × (-4)² + 7 - 13".

According to the order of operations (PEMDAS/BODMAS), we evaluate operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

To evaluate the expression correctly, we follow the order of operations:

Evaluate the exponent (-4)².

Since (-4) squared is positive, (-4)² = 16.

Multiply 2 and 16.

2 × 16 = 32.

Evaluate the addition and subtraction from left to right.

6 - 32 + 7 - 13.

At this point, we see that Cara did not evaluate 7 - 13.

Therefore, her first error was not evaluating the subtraction correctly.

Continuing the evaluation:

6 - 32 + 7 - 13 = -32.

So, Cara's first error was not evaluating 7 - 13, leading to an incorrect result of -32.

It's important to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.

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Given:

The right angled triangle is given.

One side of a triangle (height) = a =

Other side of a triangle (base) = b= 19.

One of the angles of a triangle =

One angle is right angled.

Required:

Measure of x.

Answer:

Let us find the measure of side of a triangle using the formula,

Therefore, the value rounded nearest to the 10th is,

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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Answer:

\(Total = \frac{1}{2}\)

Step-by-step explanation:

Given

\(Carol = \frac{1}{8}\)

\(Luke = \frac{3}{8}\)

Required

How far did they row together

To do this, we simply add the distance they both covered.

\(Total = Carol + Luke\)

This gives;

\(Total = \frac{1}{8} + \frac{3}{8}\)

Take LCM

\(Total = \frac{1+3}{8}\)

\(Total = \frac{4}{8}\)

Simplify

\(Total = \frac{1}{2}\)

Hence, they both rowed 1/2 mile

Answer:

It is not possible to determine the average movie ticket price in each of these countries with the given information. The statement "Average movie prices in the United States are in general lower than in other countries" is not relevant to determine the average movie ticket price in Japan and Switzerland. The information provided is the cost of 3 tickets in Japan and 2 tickets in Switzerland, and also the cost of 3 tickets in Switzerland and 2 tickets in Japan. This information cannot be used to determine the average movie ticket price in each country as it is not clear how many people are going to the movies and the different prices of the movies. More information is needed.

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.

Answer:

21, 8

Step-by-step explanation:

The second endpoint is of the form (X, 8) since it's parallel to the x axis.

Given the congruence of the two segments, we can tell that its length is 16 units (since \(|4-20| = |-16|= 16\))

At this point the two possible endpoints for the segment are \((5-16; 8)\) or \((5+16, 8)\). The fact that the segment has to sit in the first quadrant rules out the first option (it's endpoint will be at (-11, 8) which will set most of it in the second quadrant) and we're left with (21, 8)

Answer:

Thanks

Step-by-step explanation:

Thanks

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Step-by-step explanation:

=4(x)+4(-7)-2(x)-2(1) = -10

= 4x-28-2x-2= -10

therefore the third equation is equivalent to the given equation..all you need is to simplify.

Hope this Helps!!!

Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

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The inequality that represents the line in the figure will be y > - (2/3) x + 3.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,

(y - 3) > [(3 - 1) / (0 - 3)](x - 0)

Simplify the equation, then we have

(y - 3) > [(3 - 1) / (0 - 3)](x - 0)

(y - 3) > - (2/3)x

y > - (2/3) x + 3

The disparity that addresses the line in the figure will be y > - (2/3) x + 3.

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Answer:

x=16°

Step-by-step explanation:

tanθ=opposite/adjacent

tan(<CAB)=BC/AB

<CAB=tan⁻¹(21/29)=35.9097308°

tanθ=opposite/adjacent

tan(<DAB)=BD/AB

<DAB=tan⁻¹((21/2)/29)=19.90374954°

<CAB=<DAB+x

x=<CAB-<DAB

=35.9097308-19.90374954

x=16.00598126°

Answer:

180....................

Answer: 90 degrees (?)

Step-by-step explanation: The dot on angle A is pointing on the line of the 90 degree angle. Correct me if I am wrong. (Earning points I guess)

Your welcome.

Answer:

$1584

Step-by-step explanation:

My first answer got deleted because it was incomplete or something.

Just multiply 6x24x11 and you'll get the answer.

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

Answer:

C.$1,242,600

Step-by-step explanation:

Hope it helps

Answer:

Look at the image.

Step-by-step explanation:

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:

There are 2 possible solutions

Step-by-step explanation:

Given

x² = 100 ( take the square root of both sides )

x = ± \(\sqrt{100}\) = ± 10

Since 10 × 10 = 100 and - 10 × - 10 = 100

solutions are x = 10 , x = - 10

2-60-14

Answer-72 that's the answer

Answer:

2,700

Step-by-step explanation:

thx for da points tee hee

Answer:

2700

Step-by-step explanation:

Answer:

The measure of the angle labeled d

Step-by-step explanation:

I took the quick check for "angle angle side postulate"

Answer:

XZ = 28

Explanation:

The trapezoid is isosceles because it has two equal sides WZ and XY.

The diagonals of isosceles trapezoids have the same length. So, WY is equal to XZ and we can write the following equation:

WY = XZ

15x - 2 = 9x + 10

Then, solving for x, we get:

15x - 2 = 9x + 10

15x - 2 + 2 = 9x + 10 + 2

15x = 9x + 12

15x - 9x = 9x + 12 - 9x

6x = 12

6x/6 = 12/6

x = 2

Therefore, the value of XZ is equal to:

XZ = 9x + 10

XZ = 9(2) + 10

XZ = 18 + 10

XZ = 28

So, the answer is XZ = 28

Answer:

YU = 4.82.  angle STR = 23°

Step-by-step explanation:

7) Angle between U and V = 72°, since angles on a straight line add up to 180°. so angle UV = 180 - 108 = 72°.

similarly, angle YU = 180 - 85 - 72 = 23°.

length of circumference of full circle = π X diameter = π (2r)

= 2πr (radius = half of diameter).

circumference = 2π(12) = 24π.

there are 360° in full circle.

remember that angle YU = 23°.

length YU = (23/360) X 24π

= (23π)/15

= 4.817

= 4.82 to nearest one hundredth.

8) triangle RST sits inside of half the circle, ie in the semicircle.

angle RST = 90° because the angle in a semicircle =  90°.

there are 180° in a full triangle.

since angle RST = 90°, angle STR must be less than 180 - 90.

angle STR < 90°. so STR must be 23°.