Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants to save. What is 0.4% written as a decimal?

Answer:

[tex]\huge\boxed{(2,\ 3);\ (-1,\ 6)}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right[/tex]

substitute (1) to (2):

[tex]x^2-2x+3=-x+5[/tex]     add x to both sides

[tex]x^2-2x+x+3=-x+x+5[/tex]

[tex]x^2-x+3=5[/tex]        subtract 5 from both sides

[tex]x^2-x+3-5=5-5[/tex]

[tex]x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}[/tex]

substitute the values of x to (2):

[tex]x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}[/tex]

Answer:

11.6km/hr

Step-by-step explanation:

You need to double 30 minutes to get an hour, so do the same with the distance.

5.8*2=11.6 km

11.6km/hr

Answer:

The table d.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is so basic haha but happy to help

The little lines through the two sides of the triangle mean that those two sides are the same length.

When a triangle has two sides that are the same length the bottom two inside angles are also the same.

The bottom left angle is given as 68 degrees, so angle a would also be 68 degrees.

The answer is a = 68

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When a transversal line crosses parallel lines, it creates 8 angles. If the transversal crosses at right angles, every one of those angles is a right angle.

If the transversal does not cross at right angles, it creates 4 acute angles and 4 obtuse angles. The acute and obtuse angles are supplementary to each other, since they form linear pairs.

All of the acute angles are congruent, as are all of the obtuse angles. [this is the simplicity of it — only true if the lines are parallel]

__

Different pairs of angles have names. Angles on opposite sides of a point of intersection are "vertical" angles. Angles between the parallel lines are "interior" angles, and those outside are "exterior" angles. Angles on the same side of the transversal are called "same-side" or "consecutive" angles. Angles on opposite sides of the transversal are called "alternate" angles.

Angles in the same direction from the points of intersection (upper-left, for example) are called "corresponding" angles.

__

Angle relationships are often described in the terms described above. For example, every pair of "corresponding angles" is congruent, as are "alternate interior" or "alternate exterior" angles. In any geometry (not just one like this), "vertical angles" are congruent.

_____

You are given the measure of angle 4 (122°). This tells you every obtuse angle in the figure is 122°, and every acute angle in the figure is 180°-122° = 58°. All you need to do to find the angle measures is identify the angle as acute or obtuse.

For justification, you may be expected to determine the relationship of the requested angle to angle 4.

7. ∠8 — part of linear pair; supplementary to ∠4

8. ∠5 — alternate exterior; congruent to ∠4

9. ∠2 — corresponding; congruent to ∠4

10. ∠1 — consecutive exterior; supplementary to ∠4

11. ∠6 — vertical to ∠1*, so the same measure as ∠1

12. ∠7 — vertical to ∠4; congruent to ∠4

__

* angles 1 and 4 have no named relationship. angle 2 is corresponding to angle 4, and angle 5 is alternate exterior with respect to angle 4. Each of those is supplementary to angle 6, so angle 6 is supplementary to angle 4.

Answer:

there are 5 shirts a day

Step-by-step explanation:

you divide the number of hours the camp is open by the time a guard is on duty. 7.5 ÷ 1.5 =5

Answer:

5^n-1

Step-by-step explanation:

5^n-1*30

Answer:

450.25 sq in

Step-by-step explanation:

Subtract area of triangle from area of circle

Area of Triangle:  

need to get the radius (which we will use as the height) and double the radius to get the base

Pythagorean Theorem:

21² + 20² = c²

441 + 400 = c²

c = [tex]\sqrt{841}[/tex] which is 29

A(Δ) = 1/2(29)×14.5

= 210.25

Area of Circle:

A = π(14.5²)

= 660.52

Difference = 660.5 - 210.25 = 450.25

Answer:

A-75 and B-25

Step-by-step explanation:

Firstly, divide the 200 students by the amount of sections (8) and that gives you 25 a section.  Since year 7 has 3 sections and year 9 has 1, 3(25)=75 and 25(1)=25.

Answer:

28 pupils in year 7

22 pupils in year 9

Answer:

Slope=2/10 or 0.2

Step-by-step explanation:

First, pick the numbers you want to use for slope. I will be using -10 as x1, 0 as x2, -1 and y1, and 1 for y2. The formula for slope is y2-y1/x2-x1.

Plug in these numbers: 1+1 (two negatives make a positive)/0+10(again, two negatives combine to make a positive)

This makes 2/10, which divided eaquals 0.2.

You can use either 2/10 or 0.2 as your answer, depending on what your teacher requires. Have a nice day and let me know if you have any questions!! :)

Answer:

x= 3/2

Step-by-step explanation:

Answer: 459 cheeseburgers

Step-by-step explanation:

To find out the number of cheeseburgers that can be made, divide the amount of meat set aside by the amount of meat it takes to make one cheeseburger.

The amount of meat they have is:

= 114²/₃

= 344/3

Number of cheeseburgers is:

= 344/3 ÷ 1/4

= 344/3 * 4/1

= 1,376 / 3

= 458.67

= 459 cheeseburgers

Answer:

$34.78

Step-by-step explanation:

37.80 × 8 ÷ 100 = 3.02

37.80 - 3.02 = 34.78

Answer:

4cm

Step-by-step explanation:

Given area= 22cm²

Height =4cm

Parallel sides = xcm and 7cm

Area of trapezium = ½( sum of parallel sides) x height

22cm² = ½(xcm+7cm)×4cm

22cm²= ½ ( x+7)cm x 4cm

opening the bracket

22cm²= 4x+28/ 2

cross multiply

44cm²=4x+28

4x=44-28

4x=16

x=4cm

Answer:

5 is the answer!!!

Step-by-step explanation:

if its not im sorry lol

Answer:

1) x = 19.6, cos, cos(40) = x/15

2) x = 9.6, tan, tan(21) = x/25

3) x = 9.2, sin, sin(16) = x/33.5

4) x = 29.8, sin, sin(50) = 22.8/x

5) x = 32.3, tan, tan(30) = x/56

Hopefully this helps :)

Answer:

650 ft^2

Step-by-step explanation:

Without the gap, the area of the rectangle is 20ft x 35ft = 750 ft^2. The gap is a square having 10ft on the side so its area is 10ft x 10ft = 100 ft^2. Subtracting the area of the square gap from the rectangle gives you 650 ft^2.

Answer:

B.

Step-by-step explanation:

So to make it look simpler, rewrite it as this:

[tex]\frac{4^{5} 7^{3} }{4^27^4}[/tex]

Now, you can cross out the 4^2 and 7^3

You're left with:

[tex]\frac{4^3}{7}[/tex]

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

The scientific notation of 78,400,000 will be 7.84 × 10⁷.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

Scientific notation of any number is given in form of a.bcde...× 10^something

Given the number,

78,400,000

Multiply and divide by 10⁷

⇒ 78,400,000 × 10⁷/10⁷

⇒ 7.84 × 10⁷.

Hence "The scientific notation of 78,400,000 will be 7.84 × 10⁷".

To learn more about indices,

https://brainly.com/question/170984

#SPJ1

Answer:

the answer to this will be 15

Answer:

x=15

Step-by-step explanation:

The angles in a triangle always add up to 180°

3x+7x+2x=180

12x=180  (combine like terms)

[tex]\frac{12x}{12}[/tex]=[tex]\frac{180}{12}[/tex]   (Divide both sides by 12)

x=15

Answer:

x=8

Step-by-step explanation:

6²+x²=10²

36+x²=100

x²=100-36

x²=64

square root of 64 is 8

x=8

Answer:

what are you asking?

Step-by-step explanation:

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153