John works a fortnightly wage of $750.00. If his basic week is 40 hours. what is his: Weekly wage basic rate and basic fortnight??

Answer:

The smaller number is -9.

Step-by-step explanation:

Let x and y be the two unknown numbers.

Their sum is -5. Hence:

[tex]x+y=-5[/tex]

Their difference is 13. Hence:

[tex]x-y=13[/tex]

This yields a system of equations. We can solve this using elimination. Adding the two equations together:

[tex](x+y)+(x-y)=(-5)+(13)[/tex]

Simplify:

[tex]2x=8[/tex]

Divide both sides by two. Thus:

[tex]x=4[/tex]

Using either equation (I'll use the first):

[tex](4)+y=-5\Rightarrow y=-9[/tex]

So, our two numbers are 4 and -9.

The smaller number is -9.

Answer: the letter a

...........

Answer:

1,700 milliliters

Step-by-step explanation:

Convert the liters that Javier and his brother got into milliliters.

In 1 liter, there are 1000 milliliters.

So, Javier's brother bought 1000 milliliters of soda.

And, in 1/2 liter of soda, there are 500 milliliters. So, Javier bought 500 milliliters of soda.

Add these two amounts to how much Javier's mom bought:

500 + 1000 + 200

= 1700

So, for his party, Javier has 1,700 total milliliters of soda.

Answer and explanation:

The standard error is used to measure the difference between the sample mean and the population mean. It uses standard deviation to measure the level of deviation of the sample mean from the population mean. In other words, the accuracy of the sample mean by way of representing the mean of the population is measured using the standard error. If there is significant difference then standard error is bigger usually non-zero while it is less significant with smaller standard error.

slope intercept y= 10x-82

point slope y + 2 = 10 (x − 8)

Answer:

A. [tex]\frac{2}{8}[/tex]

B. [tex]\frac{6}{6}[/tex]

C. [tex]\frac{8}{4}[/tex]

Step-by-step explanation:

For A pick a fraction that is less than a whole number.

For B pick a fraction that is a whole number.

For C pick a fraction that is greater than a whole number.

What is the price per ounce, rounded to the nearest cent? $0.29.

its $3.41 (d) because if you around 4 it will be 3 (im rlly bad at explaing stuff im sorry >-<)

Answer:

A. f(x) => -0.5x -1 , for x <0

=> 2x -2 , for x ≥ 0

Step-by-step explanation:

f(x) => -0.5x -1 , for x <0

=> 2x -2 , for x ≥ 0

Answer:

Step-by-step explanation:

Given,

No. of days taken to read the whole book = 10

No. of pages in the book = 85

Therefore,

Pages of the book read everyday = 85/10

[tex] = 8 \frac{5}{10} = 8 \frac{1}{2} (ans)[/tex]

Answer:

T he pattern shows that the number of hours of daylight per day is higher in the summer and lower in the winter. This pattern is caused by the tilt of Earth's axis. At some points in Earth's orbit around the Sun, the tilt causes one hemisphere to lean toward the Sun while the other one is tilted away.

Step-by-step explanation:

Answer:

1st answer

Step-by-step explanation:

Answer:

L 1= 18 , W 1= 14 , A 1=252

Step-by-step explanation:

(L 36\2=18)

(W 28\2=14)

(A 1,008\4=252)

Step-by-step explanation:

Y=kx+b

If m=1/k

Y=-5/3x+b

I don't know what your m means

So I can only write like this.

Answer:

1. 60°

2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.

180 ÷ 3 = 60°

Answer:

C. 32 3/8

Step-by-step explanation:

First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.

Answer:

it would be choice 3

3⅜

Step-by-step explanation:

hope it helps you :)

Answer:

c=18

Step-by-step explanation:

The measure of the sides, of the square, is  3√2 units

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Given is a square, with diagonal of 6 units we need to find the measure of the sides, of the square,

By the definition of the Pythagoras theorem,

s² + s² = 6²

2s² = 36

s² = 18

s = 3√2

Therefore, we get s = 3√2

Hence, the measure of the sides, of the square, is  3√2 units

Learn more about Pythagoras theorem, click;

https://brainly.com/question/21926466

#SPJ7

The complete question is attached

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

[tex]x=60\\y=120[/tex]

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

[tex]x+33+87=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

To find y:

(Angles on straight line = 180)

[tex]y=180-x[/tex]

(replace x with 60)

[tex]y=180-60[/tex]

[tex]y=120[/tex]

hope this help :)

Refer to the attachment...

Since the line is parallel to the given equation , slope of required line = slope of the given equation of line

slope = -1/2

Answer:

[tex]x = 56[/tex]

Step-by-step explanation:

Use tangent function.

[tex] \tan(x) = \frac{18}{12} [/tex]

Take the arctan

[tex] \tan {}^{ - 1} ( \frac{18}{12} ) [/tex]

which is about

0.98279372.

Convert from radians to degrees in you will get

56 degrees.

Answer:

Step-by-step explanation:

You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.

With substitution, this gives you tangent  = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.

Hope this helps!

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

R = 17

Step-by-step explanation:

R = 2q - 5

Q = 3p + 2

Find the numerical value of R when p = 3

R = 2q - 5

R = 2(3p + 2) - 5

R = 6p + 4 - 5

R = 6p - 1

When p = 3

R = 6(3) - 1

R = 18 - 1

R = 17

Answer:

area = 2.28

Step-by-step explanation:

area of triangle is 1/2*b*h

area = (1/2)*3.8*1.2

area = 2.28

Answer:

2.28

Step-by-step explanation:

Area of triangle =(base*height)/2

And base=1.2 cm

Height=38 mm ( change it to cm as they need the answer in square cm) which is 3.8 cm

So (1.2*3.8)/2=2.28

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

Answer:

y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the angles in the large outer triangle, then

x + 46 + 78 = 180

x + 124 = 180 ( subtract 124 from both sides )

x = 56

Consider the 3 angles in the smaller inner triangle, then

y + x + 86 = 180 , that is

y + 56 + 86 = 180

y + 142 = 180 ( subtract 142 from both sides )

y = 38

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

Answer: $775.50

explanation: I just looked it up and another website had the same question but also had the answer