find the coordinates of D' after a Glide reflection of the triangle: translation 1 unit up and 5 units left and reflection across y= 3. Write your answer in (a,b). Part 2a​

Answer:

Step-by-step explanation:

Let the total amount of the money = x

Therefore:

[tex]\dfrac16x=1.50\\x=1.50 \times 6\\x=\£$ 9[/tex]

Daoud gets 1/2 of the money.

Therefore: Daoud's share of the money

[tex]=\dfrac12 \times \£$ 9 =\£$ 4.50[/tex]

Elsa's Share of the money = 9-(4.50+1.50)=£3

Therefore:

Amount of money Toby gets: Amount of money Elsa gets

= 1.50: 3

Divide both sides by 1.50

Toby's Money : Elsa's Money=1:2

Answer:

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

The rectangle has a length (l) of 7 cm and a width (w) of 3 cm. Therefore, the perimeter of the rectangle is:

Perimeter of rectangle = 2(l + w) = 2(7 + 3) = 2(10) = 20 cm

Since the rectangle and the square has the same perimeter, Therefore, the perimeter of the square is:

Perimeter of square = 2(l + w). But the length and width of a square are the same (i.e l = w). Therefore:

Perimeter of square = 4l

20 = 4l

l = 20 / 4 = 5 cm

Each side of the square has a length of 5 cm

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Total red haired students = 15+5 = 20

Boys = 15

Fraction:

=> [tex]\frac{15}{20}[/tex]

In simplest form:

=> [tex]\frac{3}{4}[/tex]

Answer:

Hi!!

Step-by-step explanation:

7 = chewing gum

6 = mints

2 = chocolate

Answer:

number of packs of chewing gum is 7

number of mints  is 6

number of chocolate bars is 2

Step-by-step explanation:

number of packs of chewing gum → x,  cost 6¢

number of mints → y = x-1 =3z,  cost  3¢

number of chocolate bars → z = y/3 = (x-1)/3, cost 10¢

put in equation 6x + 3y +10z = 80 plug in term of x

6x +3(x-1) +10((x-1)/3) =80 multiply each side by 3

18x +9(x-1) +10(x-1) =240 distribute

18x+9x-9+10x-10 =240 combine like terms

37x-19 = 240 add 19 in each side

37x =259

x = 7

plug into y = x-1 = 7-1 = 6 so y=6

and  z = y/3 =6/3 =2 so z = 2

Answer:

Percentage of people with IQ greater than 120 is 84.134%

Step-by-step explanation:

First thing we do here is to calculate the

z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 120, mean = 100 while SD = standard deviation = 20

z-score = (120-100)/20 = 20/20 = 1

The probability we want to calculate is;

P(x > 120) or P(z >1)

we proceed to use the standard score table to get this;

From the standard score table ;

P(z >1) = 0.84134

which is in percentage = 84.134%

Answer:

19 x 5

Step-by-step explanation:

[tex]19 \times 5 = 95[/tex]

Answer:

The lengths are 5, 12, and 13.

Step-by-step explanation:

Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.

The Pythagorean Theorem may be used to find the lengths.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  a, b are the short and long lengths and c is the hypotenuse

→ [tex]x^{2} + (x+7)^{2} = (2x+3)^{2}[/tex]

→ [tex]x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9[/tex]

→ [tex]2x^{2} + 14x + 49 = 4x^{2} + 12x + 9[/tex]

→ [tex]2x^{2} - 2x - 40 = 0[/tex]

→ [tex]x^{2} - x - 20 = 0[/tex]

→ [tex](x-5)(x+4) = 0[/tex]

→ [tex]x = 5[/tex] (The length cannot be negative)

The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.

Answer: The answer is 8 days

Step-by-step explanation:

this is the last step you do

16/2    2/2

and 16/2

is 8

so the answer is 8

Hope this helps :)

Answer:

1.93

Step-by-step explanation:

5.71 - 3.8 = 1.93

Answer:

1.93

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The greatest common factor of 8m, 36m³, and 12 is 4.

4(2m), 4(9m³), and 4(3).

The HCF is the largest value that divides all three of them.

The greatest common factor of 8m, 36m³, and 12 is; 4.

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We could factorize the quantities in smallest relative factors possible (the level of factors over which all quantities can form themselves), and collect as many common factors as we could.

Factorize the given numbers and identify all common factors. To get the GCF(Greatest common factor) multiply all common factors;

The Common factors are: 2 and 2, their product is 2 x 2=4, then

4(2m) =  2 x 2 x2 x m

4(9m³) =  2 x 2 x3 x3 x m x m x m

4(3) = 2 x 2 x3

Hence, the greatest common factor is 4.

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Answer:

Step-by-step explanation:

The only angle we are given directly inside that triangle is angle R, 87 degrees. We can use the fact that the exterior angle at T is 92, so the interior angle is 180 - 92 = 88.  Now we can find angle S: 180 - 87 - 88 = 5. So angle S = 5 degrees. The Law of Sines can be used now to find the length of SR:

[tex]\frac{sin5}{950} =\frac{sin88}{x}[/tex]

Cross multiply to get

x sin5 = 950 sin88 and

[tex]x=\frac{950sin88}{sin5}[/tex] so

x = 10,893 km

Answer:

18.61

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

a = 3

b = 4

[tex]b(a + 4)-3(3 + 2)+3 - 2\\a = 3,b=4\\4(3+4)-3(5)+3 - 2\\4(7)-15+3 - 2\\28-14\\\\14[/tex]

Answer:

Step-by-step explanation:

let use x as 'a number'

6 [tex]*[/tex] (9+x)

or

6 * (x+9)

Six times the sum of nine and the number x is 54+6x.

Suppose the number is x.

So, the sum of nine and x =9+x

A number is a mathematical object used to count, measure, and label.

Six times the sum of nine and a number means multiplication of 6 and the number 9+x.

Six times the sum of nine and the number x=6(9+x)

Six times the sum of nine and  the number x =54+6x

Hence, Six times the sum of nine and the number x is 54+6x.

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Answer:

y= 2/3x - 2

Step-by-step explanation:

b is were the line crosses the y intercept so its -2

and the slope is 2/3x

hope this helps:)

Answer:

Alex can only draw a rectangle with an area of 11 cm²

The reason for the answer is that 11 is a prime number

Step-by-step explanation:

We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²

We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.

That is to say:

12 = 1 x 12

12 = 2 x 6

12 = 3 x 4

These are the 3 different rectangles with an area of 12 cm²

Now we have to find how many rectangles Alex could draw with an area of 11 cm²

11 = 1 x 11

Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²

The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.

Answer:

135°

Step-by-step explanation:

total = 360°

360° = 90° + 135° + x°

x° = 360° - (90° + 135°) = 360° - 225°

x° = 135°

Answer:

904

Step-by-step explanation:

According to PEMDAS, we must multiply 100 and 9 first, which gets us 900. Then divide 12 by 2, which gets us six. 900 - 2 + 6 = 898 + 6 = 904.

Answer:

904

Step-by-step explanation:

100 * 9 = 900 -2 =898 +12/2 →898+6= 904

12/2 = 6

Have a good day and stay safe!

Answer:

840

Step-by-step explanation:

Lets split the shape in 2 shapes which gives us 2 rectangular prisms

1st shape is the one stcking upward: 12*5*6=360

2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480

480+360=

840

Answer:

$39 is the correct answer .

Step-by-step explanation:

Let the amount he earned on the afternoon  be x then

Amount earned in morning + Amount earned in afternoon=total amount

[tex]\$ 21 +\ x\ =\ \$ 60 \\\ x=\$60 -\$ 21\\x=\$ 39[/tex]

Therefore $39 is the amount he earned on afternoon .

Answer:

[tex]\Huge \boxed{\mathrm{9}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

9.45

To round up to nearest whole number, we have to see the tenth place.

If the value of the tenth place is greater or equal to 5, then we round up the number to 10. If the value of the tenth place is less than 5, the we round up the number to 9.

The value of the tenth place is 4, which is less than 5, we will round up the number to 9.

[tex]\rule[225]{225}{2}[/tex]

9.45 rounded to the nearest whole number is 9.

Given that a decimal number 9.45 we need to round it to the nearest whole number,

To round a decimal number to the nearest whole number, you need to look at the digit immediately to the right of the decimal point.

In the case of 9.45, the digit to the right of the decimal point is 4. If this digit is less than 5, you simply remove all the digits after the decimal point and keep the whole number as it is.

However, if the digit to the right of the decimal point is 5 or greater, you increase the whole number by 1.

To round 9.45 to the nearest whole number, we examine the decimal part of the number, which is 0.45.

If the decimal part is less than 0.5, we round down to the nearest whole number. In this case, since 0.45 is less than 0.5, we round down.

Therefore, 9.45 rounded to the nearest whole number is 9.

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The positive number but a negative result would be :

C. Irene is scuba diving at –30 feet. She swims 10 feet toward the surface to watch a school of fish.

The positive value is she swam 10 feet up to the surface, but she is still below the surface, which would be a negative result.

The situation that would involve a change that is from a positive number but ended in a negative number is option C.

This option tells us that at the negative number she was 30 feet below the surface of the water, while at positive number she was 10 feet up the water surface.

This is a number that is greater than 0.

This is a number that is less than 0.

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Answer:

A and B

Step-by-step explanation:

As  per above definition, A and B polynomials have coefficients 1 or 3, so are prime polynomials.

C and D polynomials have coefficient of 6 which can be further factored

A. x^4 + 3x^2 – x^2 – 3

B. x^4 – 3x^2 – x^2 + 3

C. 3x^2 + x – 6x – 2

D. 3x^2 + x – 6x + 3

Answer:

7 students in each van and 52 students in each bus.

Step-by-step explanation:

v = no of students in van, b = no of student in bus

High school A ⇒ 3v + 6b = 333 ---------- Equation (1)

High school B ⇒ 11v + 6b = 389 ------------ Equation (2)

Solve equation (1) & (2) simultaneously :

11v + 6b = 389

3v + 6b = 333

----------------------- MINUS

8v + 0 = 56

v = 56 / 8

v = 7

Put v = 7 into Equation (1) to get b:

3v + 6b = 333

3 (7) + 6b = 333

21 + 6b = 333

6b = 312

b = 312 / 6

b = 52

So there are 7 students in each van and 52 students in each bus.

Answer:

30⁰ , 60⁰ , 90⁰

Step-by-step explanation:

Let the angles x , 2x , 3x

By angle sum property:

x + 2x + 3x = 180⁰

6x = 180⁰

x = 30⁰

Angles are : 30⁰ , 60⁰ , 90⁰

Let one angle be x, the second 2x and the third 3x.

x + 2x + 3x = 180 degrees (angle sum property of a triangle)

6x = 180 degrees

x = 180/6

x = 30 degrees

So one angle is 30°, the second is 60°, and the third is 90°.

Answer:

1/2

Step-by-step explanation:

in point slope form (y-h) = slope(x-k)

The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y - 4 = 1/2 (x - 1)

Convert the equation into a slope-intercept form. Then we have

y - 4 = 1/2 (x - 1)

y - 4 = x/2 - 1/2

y = x/2 - 1/2 + 4

y = x/2 + 7/2

The equation in the slope-intercept form will be y = x/2 + 7/2. Then the slope of the equation is 1/2.

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Answer:

u = -32

Step-by-step expla

Simplify

Answer:

(x | x< -12 or x> -6)

Step-by-step explanation:

-2/3x>8 ⇒ -2/3x*3/2>8*3/2 ⇒ -x> 12 ⇒ x< -12

-2/3x<4 ⇒ -2/3x*3/2<4*3/2 ⇒ -x< 6 ⇒ x> -6

(x | x< -12 or x> -6)