Answer: 1:10,000
Step-by-step explanation:
given data:
distance of the nearest star system = 100,000,000
distance to size ration of the sun earth system = 10,000
therefore;
100,000,000 / 10,000
= 10,000
The order of magnitude of the distance to size ratio of the Sun- Nearest Star system is about 1:10,000 times that of the Sun-Earth system.
Using a sheet of graph paper, solve the following system of equations graphically. x+y=0 x-y+2=0
Answer:
(-1, 1)
Step-by-step explanation:
I used a graphing tool to graph the two lines. When graphed, the lines intercept at point (-1,1). Therefore, it is the solution to the system of equations.
Hope this helps.
The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.
Answer:
24 and 21
Step-by-step explanation:
the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )
In 6 years
8x + 6 : 7x + 6 = 10 : 9
Express the ratio in fractional form
[tex]\frac{8x+6}{7x+6}[/tex] = [tex]\frac{10}{9}[/tex] ( cross- multiply )
9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides
72x + 54 = 70x + 60 ( subtract 70x from both sides )
2x + 54 = 60 ( subtract 54 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
Tony = 8x = 8 × 3 = 24
Vihaan = 7x = 7 × 3 = 21
Answer:
Tanay's age = 24yrs
Vihaan's age = 21yrs
Step-by-step explanation:
let the ages of tanay and vihaan be8x,7x
After 6yrs tanay's age=8x+6
vihaan's age=7x+6
a/q=8x+6/7x+6=10/9
=9(8x+6)=10(7x+6)
=72x+54x=70x+60
72x-70x=60-54
2x=6
x=3
tanay's age=8×3=24yrs
vihaan's age=7×3=21yrs
hope this helps you friend
A cookie shop offers 6 varieties of cookies and bakes 5 dozen of each kind every day, from Monday through Friday. How many cookies are baked in four weeks?
Answer:
7,200 pieces are baked in four weeks
Step-by-step explanation:
Here in this question, we are interested in knowing the number of cookies baked in four weeks.
Okay, here we know that there are 6 varieties with 5 dozen of each kind baked everyday.
A dozen is 12 , this means that 5 dozens will be 5 * 12 = 60
Now, 60 pieces of each variety is baked per day. The total number of cookies baked per day is thus 60 * 6 = 360 pieces
Now, a week is just 5 days here. Since we are not considering weekends. Now, the number of days in 4 weeks will be 4 * 5 = 20 days
Since 360 pieces are baked in a day and we have the baking for 20 days in four week, the number of cookies baked is simply the product of the number of pieces and the number of days.
That will be 20 * 360 = 7200 pieces
If pqr measures 75 what is the measure Of sqr
Answer:
∠SQR = 53°
Step-by-step explanation:
happy to help
Orville and Wilbur Wright made the first airplane flights in 1903.
Answer:
True
Step-by-step explanation:
On December 17, 1903, Wilbur and Orville Wright made four brief flights at Kitty Hawk with their first powered aircraft. The Wright brothers had invented the first successful airplane. The Wrights used this stopwatch to time the Kitty Hawk flights.
Answer:
yes
Step-by-step explanation:
need help due soon thx
Answer:
Step-by-step explanation:
Let x=0.121212.....
100x=12.121212...
100x-x=12.12121212...-0.121212...
99x=12
x=12/99
so 0.121212... is equal to 12/99
Hope this helps!! :)
Step-by-step explanation:
mark as brainlist
leave a like
-4x+-3=17
what is the answer
Answer:
x = -5
Step-by-step explanation:
-4x + -3 = 17
-4x - 3 = 17
-4x - 3 + 3 = 17 + 3
-4x = 20
-4x/-4 = 20/-4
x = -5
Hope this helps!
Answer:
x=-5
Step-by-step explanation:
-4x+-3=17
First add 3 to both sides.
-4x=20
Then divided by -4
Note: Negatove divided by postive is negative.
20÷(-4) = -5
So.
x=-5
its about geometry i need help its urgent
Answer:
1) 37
2) 23
3) x = 4
4) 58
Step-by-step explanation:
1) 15 + 22 = 37
2) 54 - 31 = 23
3) 6x + 1 + x + 7 = 36
7x + 8 = 36
7x = 28
x = 4
4) 3x + 10 + 47 = 9x - 39
57 = 6x -39
96 = 6x
16 = x
3(16) + 10 = 58
Answer:
see below
Step-by-step explanation:
22 15
1. L -----------------M------------N LN = 22 + 15 LN = 37
31 ??
2. L -----------------M------------N MN = 54 - 31 MN = 23
|<-----------54 ---------------->|
6X+1 X+7
3. R -----------------S------------T find X
(6x + 1) + (x + 7) = 0
7x = -8
x = - 8/7
47 3X+10
4. D -----------E---------------------F find EF
|<--------- 9X - 39 ------------>|
47 + (3x + 10) = (9x - 39)
3x - 9x = -39 - 10 -47
-6x = -96
x = -96 / -6
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 58
1 2 3 4 5 B 10 Which statement about rational numbers is true? All rational numbers are fractions. Rational numbers never have repeating decimals. Some integers are not rational numbers. O All fractions containing integers are rational numbers.
Answer:
all fractions containing integers are rational numbers is true I believe.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
10 fewer than a number t
Answer:
t-10
Step-by-step explanation:
fewer than means it comes after
t-10
Answer:
it's t -10
Step-by-step explanation:
1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to
determine the number of people that would fit in a room that is 216 in x 360in.
Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches = [tex] \frac{216}{12} = 18 ft [/tex]
360 inches = [tex] \frac{360}{12} = 30 ft [/tex]
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: [tex] \frac{540}{2.5} = 216 people [/tex]
PLEASE HELP ILL MARK U THE BRAINLIEST IT IS URGENT AND ITS GEOMETRY DONT WASTE ANSWERS PLEASE
Answer:
∠Q = ∠U = 60°
Step-by-step explanation:
Construct the figure QSUT with your own dimensions as long as QR ≅ RU and SR ≅ RT , where R is the common midpoint.
I choose QR = 4 cm and SR = 5 cm
Then measure ∠Q and ∠U to check if they are equal.
I got that ∠Q = ∠U = 60° proving that;
∠Q ≅ ∠U
Mila spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -1.6°F. Between 9am and noon, the temperature rose 6.6°F. Between noon and 3pm, the temperature increased by 2.8°F. Between 3pm and 6pm, the temperature went down 10.5°F. What was the temperature at 6pm?
We can conclude the following information:
Every 3 hours the temperature changes.
At 9 AM, the temperature was -1.6°F:
9 AM = -1.6°F =>
Between 9 AM and noon, the temperature rose 6.6°F:
12 PM = -1.6 + 6.6 = 5°F =>
Between noon and 3 PM, the temperature increased by 2.8°F:
3 PM = 5 + 2.8 = 7.8°F =>
Between 3 PM and 6 PM, the temperature went down 10.5°F:
6 PM = 7.8 - 10.5 = -2.7°F
What was the temperature at 6 PM?
-2.7°F
Q Search
Performance Task
Navigation
Have you ever wondered how sailors navigated the oceans before the Global Positioning
System (GPS)? One method sailors used is called dead reckoning. How does deal
reckoning use mathematics to track locations? Could you use this method today?
1. In nautical navigation, it is common practice to use angle measures in degrees,
distances in nautical miles, and speed in knots (nautical miles per hour). The
relationship between miles per hour and knots is linear. (1 knot = 1.15078 mi/h)
Use this relationship to complete the chart to the nearest tenth of a mile.
knots
mi/h
5 knots
mi/h
10 knots
mi/h
Answer:
knots mi/h
5 knots 5.7539 mi/h
10 knots 11.5078 mi/h
Step-by-step explanation:
Given
knots mi/h
5 knots _mi/h
10 knots _mi/h
Required
Fill in the gap
From the question, we understand that
[tex]1 knot = 1.15078mi/h[/tex]
Solving (a): 5 knots
Recall:
[tex]1 knot = 1.15078mi/h[/tex]
Multiply both sides by 5
[tex]5 * 1 knot = 1.15078mi/h * 5[/tex]
[tex]5\ knots = 1.15078mi/h * 5[/tex]
[tex]5\ knots = 5.7539\ mi/h[/tex]
Solving (b): 10 knots
Recall:
[tex]1 knot = 1.15078mi/h[/tex]
Multiply both sides by 10
[tex]10 * 1 knot = 1.15078mi/h * 10[/tex]
[tex]10\ knots = 1.15078mi/h * 10[/tex]
[tex]10\ knots = 11.5078mi/h[/tex]
Hence; The complete table is
knots mi/h
5 knots 5.7539 mi/h
10 knots 11.5078 mi/h
One of the fractions is a Repeating decimal the other one is terminated which one is which without dividing how can you tell 1/11 9/100
Answer:
1/11 is a repeating decimal
9/100 is a terminated decimal
Step-by-step explanation:
Properties of the fractional part of 100 can be determined as percentages. Using this, we can see that 9/100 will result in .09 or 9%.
Properties of the fractional part of 11 can be seen to be a non-divisible number resulting in a repeating decimal equivalent. So, 1/11 will result in .090909 ad infinitum.
Note, that odd divisors that are not multiples of 5, typically will result in a repeating decimal.
Cheers.
Find the missing value in the equation below.
12 + 13 = 34-
Answer:
Step-by-step explanation:
Yo it's 9 bro hope this helps mane
when you reverse the digits of a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 5
Answer:
The number is 50.
Step-by-step explanation:
We need to understand the problem and convert it into a mathematical equation, or a series of equations. That way, we can solve them with ease.
The first thing we can do is to assign variables to represent the values that we do not know.
Let us assign the first number to be = x and the second number to be = y.
Important!
At this point, we must put their place values into consideration.
Since we are dealing with a two-digit number, we only have tens and units.
We will account for the place values of the variables assigned (x and y) by multiplying them by 10 and 1
x is the tens place value. To occupy this place value, it will become 10x
y is the unit place value. To occupy this place value, it will become 1 X y = y
This means that the original number is of the format x y
To convert this to an equation, it will become 10 (x) + y
Once the number order is reversed we will have 10 (x) + y = 10(y) + x - 45
grouping like terms
10x-x - 10y +y = - 45
9x -9y = - 45
From the second statement, we also have that x + y = 5
hence we have two equations x + y = 5 ---------- equation 1
9x -9y = - 45 ------------ equation 2
solving simultaneously, we have that the two numbers are 0 and 5
The number therefore, is 50
x = 5 and y = 0
10 times 0.63 repeating
Answer:
6.36363
Step-by-step explanation:
Answer:
6.36 repeating
Step-by-step explanation:
10 x 0.63 repeating
When you multiply ten by any number, you move the decimal to the right one place value.
0.6363...
6.3636...
So the answer is 6.36 repeating.
Which of the following is equivalent to (2a2-6ab2+4b2)-(-a2+2ab-2b2
Answer:
Step-by-step explanation:
2a^2 - 6ab^2 + 4b^2 + a^2 - 2ab + 2b^2
3a^2 - 6ab^2 + 6b^2 - 2ab
solve for x 10+10= -2(4x-10)
Answer:
x = 0
Step-by-step explanation:
10 + 10 = -2(4x - 10)
20 = -8x + 20
0 = -8x
0/-8 = x
0 = x
Answer: x=0
Step-by-step explanation:
Given
10+10=-2(4x-10)
Combine like term
20=-2(4x-10)
Distributive property (REMEMBER you need to change signs when it is negative outside)
20=-8x+20
Subtract 20 on both sides (subtractive property of equality)
-8x=0
Divide -8 on both sides (division property of equality)
x=0
Hope this helps!! :)
Please let me know if you have any question
values of x in simplest form.
9 – 4|3 + 5x| = 5
Answer:
x=4/5
Step-by-step explanation:
9 - |12-20x| = 5
=>-|12-20x|= 5-9
=>-|12-20x|=-4
=>12-20x=-4
=>-20x=-4-12
=>-20x=-16
=>x=16/20
=>x=4/5
What is the value of the expression 3y−zy+5z when y = 6 and z = 2? 1. 1 2. 3 3. 4 4. 16 There is a pic too plz help...fast!!!!
Answer:
The answer is 1Step-by-step explanation:
[tex] \frac{3y - z}{y + 5z} [/tex]
To find the value of the expression when
y = 6 and when z = 2 , substitute the values into the above formula and solve.
That's
[tex] \frac{3(6) - 2}{6 + 5(2)} \\ = \frac{18 - 2}{6 + 10} \\ \frac{16}{16} [/tex]
We have the final answer as
1Hope this helps you
Answer:
[tex]\Huge \boxed{1}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3y-z}{y+5z}[/tex]
Let y = 6 and z = 2.
[tex]\Rightarrow \displaystyle \frac{3(6)-2}{6+5(2)}[/tex]
Evaluate the expression.
[tex]\Rightarrow \displaystyle \frac{18-2}{6+10}[/tex]
[tex]\Rightarrow \displaystyle \frac{16}{16}[/tex]
[tex]\Rightarrow 1[/tex]
The value of the expression when y = 6 and z = 2 is 1.
What is the first step to take in this problem? 7-24-8x4+6*? Subtract 24, divide 8, multiply 4, or, add 6?
Marcus had a rope that was 75 filet long. He cut off part of the rope. After
that, the rope was 56 feet long.
If f = the number of feet Marcus cut off the rope, which mathematical
sentence expresses the information above?
A. 56 - f = 75
B. 75 - f= 56
C. 75+ f = 56
D. f- 75 = 56
Answer:
The answer is B. 75 - f = 56
Step-by-step explanation:
If b=4 and c=5, what is the value of bc+b-c
Answer:19
Step-by-step explanation: you would do 4x5 thats 20 then you would subtract one becasue 4-5=-1
Solve for y. 10(30x - 5y)= -40y +600 a) y=1/3 x +6.67 b) y=3x + 595 c) y=10x +60 d) y=30x-60 I think it's d but im so dumb-
Answer:
d is correct
Step-by-step explanation:
Given
10(30x - 5y) = - 40y + 600 ( divide both sides by 10 )
30x - 5y = - 4y + 60 ( add 5y to both sides )
30x = y + 60 ( subtract 60 from both sides )
30x - 60 = y → d
What are the factors of x2 − 64? Prime (x − 4)(x + 16) (x − 8)(x − 8) (x + 8)(x − 8)
[tex] {x}^{2} - {8}^{2} [/tex]
[tex](x - 8)(x + 8)[/tex]
What is the perimeter of a square with a side length 6x - 5
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{24x - 20}}}}}[/tex]
Step-by-step explanation:
Given,
Length ( L ) = 6x - 5
Perimeter of a square ( P ) = ?
Finding the perimeter of a square having length of 6x- 5
[tex] \boxed{ \bold{ \boxed{ \sf perimeter \: of \: a \: square \: = 4l}}}[/tex] ( where l is the side of the square )
plug the value of length
⇒[tex] \sf{4(6x - 5)}[/tex]
Distribute 4 through the parentheses
⇒[tex] \sf{4 \times 6x - 4 \times 5}[/tex]
⇒[tex] \sf{24x - 20}[/tex]
Hope I helped!
Best regards!!
You work at a coffee shop and are making a drink using espresso and steamed milk. For a 3-ounce drink, the recipe
calls for 1 ounce of espresso. What fraction of the beverage is steamed milk?
Answer:
2/3
Step-by-step explanation:
the question says you are making a drink using espresso and steamed milk, it doesn't give you any other ingredients, and its a 3oz. drink so 1oz, of espresso and 2oz. of steamed milk
65347457467+4609800=?
Answer:
65,352,067,267
i dont know what else to say.
Hello