Split 84 into two parts so that one part is five times the other part.

Answer:

2nd option= 0.5608

3rd option=0.5608

6th option=0.5608

7th option=0.5608

Answer:

The answer is 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

first make into improper fraction then mulityply and then simplify

Answer:

Step-by-step explanation:

1.) angle 1 and angle to form a linear pair (given)

2.) angle 1 and 2 are supplementary (supplement theorem)

3.) measure of angle 1 + measure of angle 2 = 180 degrees (def. of supplementary angles)

4.) angle 1 and 3 are supplementary (given)

5.)measure of angle 1 + measure of angle 3 = 180 degrees (def. of supplementary angles)

6.) measure of angle 1+ measure of angle 2 = measure of angle one + measure of angle 3 (congruent supplements theorem)

7.) measure of angle 2 = measure of angle 3 (subtraction property of equality)

8.) angle 2 is congruent to angle 3 (definition of congruence)

Step-by-step explanation:

Hey, there!!

[tex] = \frac{43}{7} [/tex]

Divide 43 by 7.

you will get quotient as 6 and remainder is 1.

so,

The proper fraction is:

[tex] = 6 \frac{1}{7} [/tex]

Hope it helps...

First must do the division:

43 : 7 = 6 with 1 of rest

so 43 = 6 * 7 + 1

with the denominator:

[tex]\frac{43}{7} = \frac{6*7+1 }{7}[/tex]

[tex]\frac{43}{7} = \frac{6*7 }{7}+\frac{1}{7}[/tex]

semplify:

[tex]\frac{43}{7} = 6+\frac{1 }{7}[/tex]

Answer:

[tex]f(x) = 1588.4x + 39000[/tex]

[tex]f(15) = 62826[/tex]

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

[tex]a = \frac{70768 - 39000}{20 - 0}[/tex]

[tex]a = \frac{31768}{20}[/tex]

[tex]a = 1588.4[/tex]

Next, is to determine the formula using:

[tex]y - y_1 = a(x - x_1)[/tex]

Considering :When x = 0; y = 39000, we have

[tex]y - 39000 = 1588.4(x - 0)[/tex]

[tex]y - 39000 = 1588.4x[/tex]

Make y the subject of formula

[tex]y = 1588.4x + 39000[/tex]

Express y as a function of x

[tex]f(x) = 1588.4x + 39000[/tex]

Solving (b): Income in 2005

In 2005, x = 15

So:

[tex]f(x) = 1588.4x + 39000[/tex] becomes

[tex]f(15) = 1588.4 * 15 + 39000[/tex]

[tex]f(15) = 62826[/tex]

Answer:

DY

Step-by-step explanation:

TO ENCRYPT TO USING CAESAR ALPHABETIC SHIFT CIPHER OF 10. THIS MEANS WE'RE EXPECTED TO LOOP EVERY ALPHABET BY 10, SKIPPING EVERYONE TILL WE GET TO THE TENTH.

TO ENCRYPT T, WE HAVE

T = U - V - W - X - Y - Z - A - B - C - D

THEREFORE, T WILL BE ENCRYPTED AS D

TO ENCRYPT O, WE HAVE

O = P - Q - R - S - T - U - V - W - X - Y

HENCE, O WILL BE ENCRYPTED AS Y.

THIS MEANS THAT OUR QUESTION, TO, WILL BE ENCRYPTED AS DY

Answer:

length= 24cm

Step-by-step explanation:

interpreting the question

L=3w

perimeter=2(l+w)

64=2(3w+w)

64=2(4w)

64=8w, Divide both sides by 8

w= 8cm

since w= 8

L=3w

L=3×8

L=24cm

Answer:

Step-by-step explanation:

assume the coin is circular.

i think radius=2.0 cm

∵ 20 cm is too big for a coin.

i have calculated the area of both the surfaces.

area =2×πr²=2×π×2.0²=8 π=8×3.14=25.12 cm²

if only one surface then area=π×2²=4π≈12.57 cm²

There are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have a number:

= 600

We can write it as:

600 =       600     +      00    + 0

Number    hundreds   tens    ones

There are 0 ones in the number 600.

Thus, there are 0 ones in the number 600 after writing the number in the form of 600 + 00 + 0

Learn more about the number here:

brainly.com/question/17429689

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Answer:

1st Slot: f(-3)

2nd Slot: -3

3rd Slot: is not

Step-by-step explanation:

Using the Remainder Theorem, we plug in the root of x + 3 (which is x = -3) and see the remainder.

If the remainder = 0, it is a factor

If the remainder ≠ 0, it is NOT a factor

f(-3) = -2(-3)⁴ - 8(-3)³ - 2(-3) - 63

f(-3) = -3

So, x + 3 is NOT a factor.

We then have our 3 answers.

Complete question:

Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.

a)How many total possibilities are there?

For the rest of the questions, we will assume that the dice are fair and that all the possibilities in (a) are equally likely.

b)What is the probability that the sum on the two dice comes out to be 11?

c)What is the probability that the sum on the two dice comes out to be 7?

d)What is the probability that the numbers on the two dice are equal?

Answer:

Kindly check explanation

Step-by-step explanation:

Total probabilities :

Total possible outcomes on each dice = 6

Total probabilities = 6² = 36

b)What is the probability that the sum on the two dice comes out to be 11?

Total required outcome = 2

Total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum on both dice = 11) = 2 / 36 = 1/18

c)What is the probability that the sum on the two dice comes out to be 7?

Required outcome = 6

Possible outcomes = 36

P(obtaining a sum of 7) = 6/36 = 1/6

d)What is the probability that the numbers on the two dice are equal

= required outcome / possible outcomes

Required outcome = 1,1 ; 2,2; 3,3; 4,4 ; 5,5 ; 6,6

= 6/36 = 1/6

Answer:

refraction

Step-by-step explanation:

from the pf quiz

Answer:

refraction

Step-by-step explanation:

Answer:

The opposite of the number 1/4 is equal to -1/4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number is 1/4 and the opposite of the number will be calculated as,

The opposite will be the negative value of 1/4.

Positive value = 1/4

Negative value = -1/4

Therefore, the opposite of the number 1/4 is equal to -1/4.

To know more about an expression follow

https://brainly.com/question/1859113

#SPJ2

Answer:

a+3

Step-by-step explanation:

You cannot go any further in answering this question.  These two terms are not like terms so they cannot be combined.  Therefore, the answer is just a+3 itself.

Answer:

9 4/33.

Step-by-step explanation:

0.12 repeating = 12/99

= 4/33.

Answer:

1/3 is 33.33%

1299.99 x 33.33 =433.286

1299.99 - 433.286= 866.704

Step-by-step explanation:

$866.704 is what she paid

Discount was $433.286

Answer:

  a) (3, -4), (2, 4), (-5, -6)

  b) (4, 3), (-4, 2), (6, -5)

Step-by-step explanation:

a) Reflection in the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y)

  (3, 4) ⇒ (3, -4)

  (2, -4) ⇒ (2, 4)

  (-5, 6) ⇒ (-5, -6)

__

b) Reflection in the line y=x swaps the x- and y-coordinates:

  (x, y) ⇒ (y, x)

  (3, 4) ⇒ (4, 3)

  (2, -4) ⇒ (-4, 2)

  (-5, 6) ⇒ (6, -5)

Answer:

line AC

Step-by-step explanation:

because those are two points along line r

it can't be line AB because that would make it a line segment

Answer:

Line ac

Step-by-step explanation:

Answer:

chemical formula for silver sulfate Ag2SO4

Answer:

Ag2SO4

Step-by-step explanation:

..............

Answer:

0.5(100-30) = 35

That's why M∠1 = 35°

Hoped this helped

Answer:

The unit vector in component form is [tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex] or [tex]\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j[/tex].

Step-by-step explanation:

Let be [tex]\vec u = (2,-3)[/tex], its unit vector is determined by following expression:

[tex]\hat {u} = \frac{\vec u}{\|\vec u \|}[/tex]

Where [tex]\|\vec u \|[/tex] is the norm of [tex]\vec u[/tex], which is found by Pythagorean Theorem:

[tex]\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}[/tex]

[tex]\|\vec u\| = \sqrt{13}[/tex]

Then, the unit vector is:

[tex]\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)[/tex]

[tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex]

The unit vector in component form is [tex]\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)[/tex] or [tex]\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j[/tex].

Answer:

7.5%

Step-by-step explanation:

Approximate distance = 180 miles

Actual distance = 167.5 miles

Percent error = { (approximate value - actual value) / actual value } × 100

= { (180 - 167.5) / 167.5 } × 100

= (12.5 / 167.5) × 100

= 0.075 × 100

= 7.5%

Answer:

4w + 6

Step-by-step explanation:

Group like terms

7w - 3w + 6 = 4w + 6

Hope this Helps :)

Answer:

5.13*1.8=9.234

4.124/0.4=10.31

Step-by-step explanation:

Answer:

5.00 +12.00=17.00

Step-by-step explanation:

specify whether the money is in pounds like $12 for a pound of cashews I can't tell what you need

Answer:

<c=152°

Step-by-step explanation:

We know that A and B are equal because it's an isosceles triangle.

x-14=x/2

2(x-14)=x

2x-28=x

x=28

<A=x-14=28-14=14

<B=x/2=28/2=14

<C=180-14-14=152°