Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds (£)to spend in England. Workout how many pounds he receives.

$1 = 0.88 euros
1 pound = 1.15 euros

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

RQ = QT + RT

Therefore;

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

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Answer:

Step-by-step explanation:

List the facts phrase by phrase.

Total = 15 hours

Let Raul's hours = x

Let Jamie's hours = y

Total = x + y = 15

x = 3 + 2y

From total, find x

x+ y = 15                    Subtract y from both sides.

x = 15 - y                   Put the value for x in x = 3+ 2y

3 + 2y = 15 - y           Subtract 3 from both sides

2y = 15 - 3-y            Combine

2y = 12 - y                Add y to both sides.

2y + y = 12                  Combine

3y = 12

y =  12 / 3

y = 4

Jamie worked 4 hours

Raul worked 11

Answer:

its: 360,000,000

Step-by-step explanation:

good luck

Answer:

[tex]3.6 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex]800 \times 900 \times 500 \\ = 8 \times 9 \times 5 \times {10}^{6} \\ = 360 \times {10}^{6} \\ = 3.6 \times {10}^{8} [/tex]

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

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Answer:

heat, water, ice, or other agents

Step-by-step explanation:

Answer:

1. false

2. false

3. false

4. true

Step-by-step explanation:

a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square

a parrellelogram can be any shap as long as its parrelel

a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

Answer:

AAA?

Step-by-step explanation

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

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

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

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

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

Answer:

345

Step-by-step explanation:

On adding 60 to 325 and then subtracting 40 the answer will be 345.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given numbers 60, 325, and 40. The expression will be formed as below:-

E = 60 + 325 - 40
E = 385 - 40

E = 345

Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.

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Answer 1.085

dd

sa

d

sd

a

ds

d

The bus pass cost per day will be $1.05 per day.

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

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Answer:

The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.

Answer:

0.324 m²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)

and we apply the formula

1.2 * 0.54 : 2 =

0.324 m²

Answer:

32.4? or 0.324 m²

Step-by-step explanation:

Answer:

16968

Step-by-step explanation:

Answer:

16,968

Hope this helps :)

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9

3x - 3 + 3 < 9 + 3

3x < 12

[tex]\frac{3x}{3} <\frac{12}{3}[/tex]

x < 4

Answer:

the answer is x is less than 4

Step-by-step explanation:

3x-3<9

3x-3+3<9+3

-3deleted by +3

so we get 3x<12. over 3 over 3 and we got

x<4

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

Answer:

b

Step-by-step explanation:

Answer:

40...................................

Answer:

35 points because you said so O-O

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

Answer:

183in^2

Step-by-step explanation:

Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.

15x26=390in

We now want to figure out the small rectangle on the bottom of the image.

The area of a triangle is A=hb/2

A=6x15/2=45

In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.

45x2=90

Finally, we can solve for the remaining triangle.

A=9x26/2=117

Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.

390-(90+117)=183in^2

Hope this helps :)

Answer:

4

Step-by-step explanation:

I think if not sorry

[tex] \: \: \: \: \: [/tex]

[tex] = \: \: \: x = - \frac{3}{2 } \\ \\ [/tex]

refer to attachment

[tex] \: \: \: \: \: [/tex]

Answer:

Answer A

Step-by-step explanation:

From the image, it looks like the answer is y<1/2x+2 because the shading of the line is below, as well as the points of interception are 4 and 2. I hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope it can help you lovelots

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

[tex] = \frac{2}{3} [/tex]

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!