Answer:
x=7
Step-by-step explanation:
Add 16 to both sides
-17x-16+16=-135+16
Simplify
-17x=-119
Divide both sides by -17
-17x/-17=-119/-17
Simplify
x=7
Hope this helped! :)
Estimate 511 x 637 by first rounding each number so that it only has 1 nonzero digit.
Answer:
Step-by-step explanation:
511 * 637 = 500 * 600
= 300000
511. Here ten's place is 1 and its <= 5. So, it is 500
637. Here ten's place is 3 and its <= 5. So, it is 600
Answer:
300,000
Step-by-step explanation:
Rounding so that a number only has 1 nonzero digit means that you should round to the nearest hundred. Remember when rounding look to the digit to the right of where you are rounding to, if that is 4 or less round down and if it is 5 or greater round up. So to round 511 look at the tens place, since it is less than 4 it rounds to 500. To round 637 look at the tens place, since it is also less than 4 round down to 600. Then to multiply 500 x 600 just multiply the first digits, 5 x 6=30, then add the zeros. In total there were 4 zeros in the estimated equation so the final answer would be 300 plus four zeros.
So 500 x 600=300,000
Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.
a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.
b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.
Answer:
a) Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) After 19 hours, Snow dome will have more snow.
Step-by-step explanation:
Given that:
Initial snow at Snow Dome Ski Resort = 65 inches
Snowing rate at Snow Dome Ski Resort = 1 inch per hour
Initial snow at Mt. Winterpark Ski Resort = 74 inches
Initial snow at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}[/tex] inch per hour
a) To write equations that show amount of snow at each resort.
Let the time in hours be represented by [tex]t[/tex].
Snow increased in [tex]t[/tex] hours by snowing at Snow Dome Ski Resort = [tex]1\times t = t[/tex] inches per hour
Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour
Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) Time at which Snow Dome has more snow.
Using the above equations, we can write the following inequality:
[tex]65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours[/tex]
After 18 hours have passed, they will have equal amount of snow.
After 19 hours, Snow dome will have more snow.
Solve this system for m and b 342=23m+b 147=10m+b
Answer:
b = − 3
m = 5 ( 39 + 2 m ) /23
EXITTICKET:If a car travels 50 m/h , for 5 hours, then how far did the car travel ? (Distance: time. .speed)
Answer:
50×5=250m
Step-by-step explanation:
he traveled 250 m
Answer:
250 miles
Step-by-step explanation:
If a car travels 50 miles per hour then we are given 5 hours as a time, we can multiply the two numbers together to get 250 miles. Let's see what the distance is after every hour:
1 hour: 50 miles
2 hour: 100 miles
3 hours: 150 miles
4 hours: 200 miles
5 hours: 250 miles
It is seen that after 5 hours a car driving 50mph would travel 250 miles!
Hope this helps!!
- Kay
4. What information do you need to classify quadrilateral EFGH as
a square?
Answer:
i think area of quad=area of square(equal sides)
C(5,-5),D(5,3) what is the distance between the points
Find the measure of ULE in the triangle below.
Answer:
U = 71 L=60
Step-by-step explanation:
You subtract 180 from 109 to get the measure of U and then you add measure U and E to get 120. Then, you subtract 180 from 120 to get measure L.
Which of the following could represent the unit side lengths of a right triangle
A 5,8,10
B 3,5,7
C 6,11,13
D 12,16,20
Answer:
Choice D
Step-by-step explanation:
If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².
Answer:
Answer: D 12,16,20
Step-by-step explanation:
The Pythagora's Theorem
On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:
[tex]a^2+b^2=c^2[/tex]
The set {a,b,c} is often called a Pythagorean Triple.
Testing every option:
A
[tex]5^2+8^2=10^2[/tex]
[tex]25+64 = 100[/tex]
89 = 100
Since equality is false, 5,8,10 are not the side lengths of a right triangle.
B
[tex]3^2+5^2=7^2[/tex]
[tex]9+25 = 49[/tex]
34 = 49
Since equality is false, 3,5,7 are not the side lengths of a right triangle.
C
[tex]6^2+11^2=13^2[/tex]
[tex]36+121 = 169[/tex]
157 = 169
Since equality is false, 6,11,13 are not the side lengths of a right triangle.
D
[tex]12^2+16^2=20^2[/tex]
[tex]144+256 = 400[/tex]
400 = 400
Since equality is true, 12,16,20 could be the side lengths of a right triangle.
Answer: D 12,16,20
When a circular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. at what rate is the plates areas increasing when the radius is 54 cm?
Answer:
3.3912cm³/minStep-by-step explanation:
Area of the circular plate = πr² where r is the radius of the plate.
dA/dt is the rate at which the plate is increasing
since dA/dr = 2πr and dr/dt = 0.01cm/min
dA/dt = dA/dr * dr/dt
dA/dt = 2πr dr/dt
dA/dt = 2π(54)(0.01)
dA/dt = 2π(0.54)
dA/dt = 3.3912cm³/min
Hence the rate at which the plates area is increasing when the radius is 54cm is 3.3912cm³/min
At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?
Answer: 117 tickets left
Step-by-step explanation:
what are the possible values for the ones digits when a number is a multiple of 5
Answer:
0, 5
Step-by-step explanation:
5 * 0 = 0
5 * 1 = 5
5 * 2 = 10
5 * 3 = 15
5 * 4 = 20
5 * 5 = 25
etc.
Answer: 0, 5
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time
Answer:
thanks
Step-by-step explanation:
Justify Solution Paths of Linear Equations
3(x−2)+5x=26 (What property is this?)
3x−6+5x=26 (What property is this?)
8x−6=26 (What property is this?)
8x=32 (What property is this?)
x=4 (What property is this?)
Here are a list of the properties-
Subtraction Property of Equality
Addition Property of Equality
Multiplication Property of Equality
Division Property of Equality
Combine Like Terms
Distributive Property
Given Equation
Answer:
[tex]3(x-2)+5x=26[/tex] (Given Equation)
[tex]3x-6+5x=26[/tex] (Distributive Property)
[tex]8x-6=26[/tex] (Combine Like Terms)
[tex]8x=32[/tex] (Addition Property of Equality)
[tex]x=4[/tex] (Division Property of Equality)
Step-by-step explanation:
To justify the solution paths of linear equations.
[tex]3(x-2)+5x=26[/tex] (It is the Given Equation)
Here, 3 has to be multiplied with the term [tex](x-2)[/tex], so the distributive property applies.
Therefore, [tex]3x-6+5x=26[/tex]
Here, the like terms with [tex]x[/tex] in it will have to solved by combining them into one.
Therefore, [tex]8x-6=26[/tex]
Here, we add 6 to both sides.
[tex]8x=32[/tex]
Now, divide the both sides with 8.
[tex]x=4[/tex]
Therefore, the answer is:
[tex]3(x-2)+5x=26[/tex] (Given Equation)
[tex]3x-6+5x=26[/tex] (Distributive Property)
[tex]8x-6=26[/tex] (Combine Like Terms)
[tex]8x=32[/tex] (Addition Property of Equality)
[tex]x=4[/tex] (Division Property of Equality)
please solve this i will give you brainliest
Answer:
1
Step-by-step explanation:
gvgbkhbgvbhjbjhbjhbhjnnj
Need help please please it due today at 4:50pm really need help please
Answer:
70
Step-by-step explanation:
4x + 5y = -30
slope intercept form
Slope intercept form of the equation 4x + 5y = - 30 is written as,
⇒ y = - 4/5x - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ 4x + 5y = - 30
Now, We know that;
Slope intercept form of the equation is,
⇒ y = mx + c
Here, The equation is,
⇒ 4x + 5y = - 30
Subtract 4x both side,
⇒ 4x + 5y - 4x = - 30 - 4x
⇒ 5y = - 4x - 30
Divide by 5 both side, we get;
⇒ y = - 4/5x - 6
Hence, The Slope intercept form of the equation is,
⇒ y = - 4/5x - 6
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probability of each of the following events.
a. All four are type O.
b. None of them is type O.
c. Two out of the four are type O .
Answer:
We know that:
1/5 = 0.2 of all adults in US have type O blood.
Then: 4/5 = 0.8 of all adults in US do not have type O blood.
a) All four are type O.
Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8
Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:
P =0.2^4 = 0.0016
b) None of them is type O.
Similar to the above case, but this time we work with four times the probability 0.8
P = 0.8^4 = 04096
c) Two of the four are type O.
Here we will have two times the probability 0.2, and two times the probability 0.8.
p = 0.2^2*0.8^2
But, if the people is ordered, the two persons with type O blood can be:
first and second
first and third
first and fourth.
second and third
second and fourth
third and fourth.
6 different combinations, then the actual probability for this case will be:
P = 6*p = 6*(0.2^2*0.8^2) = 0.1536
The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
About 1/5 of all adults in the United States have type O blood.
p = 0.2
q = 1 - p = 1 - 0.2 = 0.8
a. All four are type O. The probability will be
P = p⁴
P = 0.2⁴
P = 0.0016
b. None of them is type O. The probability will be
P = q⁴
P = 0.8⁴
P = 0.4096
c. Two out of the four are type O. The probability will be
P = p² × q²
P = 0.2² × 0.8²
P = 0.04 × 0.64
P = 0.0256
More about the probability link is given below.
https://brainly.com/question/795909
Please help it would mean alot!
Points and brinliast!
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
find the missing side lengths. leave ur answers as radicals
Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9
U A cube is a rectangular prism whose edge lengths are all the same.
What is the volume of a cube with an edge length of 2 feet? Circle
the letter of the correct answer.
A 4 cubic feet
B 6 cubic feet
C 8 cubic feet
D 12 cubic feet
Danny chose B as the correct answer. How did he get that answer?
PLEASE HELP FAST AND CORRECT! 50 points!
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
Solve for g.
g + (-5) = 27
answer: g=32 u should simplify
Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of buttons he can sew onto the shirt with the rest of the string he has?
Answer:
it's 12
Step-by-step explanation:
2 and 2/5 divide by 1/5 is 12
Answer:
12
Step-by-step explanation:
I had this question on my test and the correct answer was 12
2
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CHAPTER 22
Statistics and Central Tendencies
results are shown in the table below.
Number of visits
Number of people
1
6
2 3
119
5
7.
8
6
S
7.
4
(a) Find the median number of visits per person.
(b) Calculate the mean number of visits per person.
[ Jan., paper 1, No. 21
ling between two cities, 3/8 of the passengers ar
Fifty people visiting a museum were asked how many times they had visited the museum
Answer:
p
Step-by-step explanation:
The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
Larger is -30
Smaller is -20
Step-by-step explanation:
-50/2 = -25
difference is -10
add 5 to one number minus 5 from the other
so
-25 - 5 = -30
-25 + 5 = -20
Hope this helps :)
Answer:
be careful how you answer this
the larger number (y) = - 20
the smaller number (x) = - 30
Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.
Step-by-step explanation:
x + y = -50
x - y = -10 Add
2x = - 60 Divide both sides by 2
2x/2 = -60/2 Do the division
x = - 30
=============
-30 - y = - 10 Substitute - 30 for x in the second equation
-30+30- y = -10 + 30 Add 30 to both sides
-y = +20 Divide by -1 on both sides
y = - 20
what fraction is equal to 4.5
Answer:
9/2
Step-by-step explanation:
in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...
we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...
now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2
since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4
now we need to find the remaining 1/2
this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)
Since 9/2 cannot be simplified any further... it is our final answer
Can someone help me answer A-E please
Answer:
srry i cant help but i can talk all ima say is this is some advance math what grade u in im only in 7 and im struggling
Step-by-step explanation:
()-()
(っ◔◡◔)っ ♥ so yea srry i cant help tho ♥
Can someone help me with this
Answer:
1. isosceles 2. Scalene 3. Equilateral 4. Equilateral
Step-by-step explanation:
On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles