Answer:
A.
Step-by-step explanation:
In a direct proporton, the ratio of one quantity to teh other is a constant.
Let's divide each number of crystals by each number of pounds:
7/14 = 1/2
14/28 = 1/2
21/42 = 1/2
28/56 = 1/2
The ratio of crystals to pounds is always 1:2.
This is a proportional relation.
Answer: A.
Mr. Alexander was traveling home from a business
trip. A taxi driver took him from his hotel room to a
bus station that was 18 miles away. The taxi traveled at an average rate of 60 miles an hour.
Mr. Alexander waited 15 minutes at the bus station
before leaving on a 178-mile bus ride.
Mr. Alexander's trip took a total of 5 hours from the time he left the hotel to the time the bus arrived at its destination. At
what average rate did the bus travel? Explain or show calculations to support the answer.
Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:
[tex]t = 4 + \frac{27}{60} = 4.45[/tex]
Hence, the velocity is given by:
[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]
The bus traveled at a rate of 40 miles per hour.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%
Answer:
a=27%
Step-by-step explanation:
-lukelaws
tell me if it helped
Answer:
A
Step-by-step explanation:
Equals 27 percent
I took the test and go it right
Isaiah is jogging near his college. he runs south along capitol street for about 0.75 miles and east along h street for about 1.2 miles. he then turns left and runs along florida avenue until he reaches his starting point. how long is his total run to the nearest hundredth of a mile? a triangle. the sides are capitol street, h street, and they hypotenuse is florida avenue. 2.89 miles 3.37 miles 3.67 miles 3.92 miles
The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 miles
How to work with Pythagoras Theorem?Let F represents his starting point.
Let C represent his position from where he went to east direction.
Let H represent his position from where he went to left towards Florida Avenue.
We are given that;
FC = 0.75 miles
CH = 1.2 miles
∠FCH = 90°(This can be deduced from the question)
By Pythagoras theorem, we have;
FH = √(0.75² + 1.2²)
FH = 1.42
Thus;
Total distance he covered = FC + CH + FH
Total distance covered = 0.75 + 1.2 + 1.42
Total distance covered = 3.37 miles
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Brian has reduced his cholesterol level by 10% after his last check up. If his original level was 220, what is his cholesterol level now?
9/25 of 5kg is equal to ?
Answer:
1.8 kg
...............
Answer:
1.8 kg
Step-by-step explanation:
please note the " / " symbol means "divided by"
9 / 25 of 5
to work this out, we first do 5 / 25 and then the answer x 9
so 5 / 25 = 0.2
0.2 x 9 = 1.8
1.8kg or 1,800g
Hope this makes sense. If you need further explanation, let me know!
- profparis
If I helped you, a brainliest would be appreciated :D
how do i solve this question
How do I know if a score is good or not on a math map test
Answer:
on the math and reading test, 240 (reading) and 250 (math) are typical top scores.
Step-by-step explanation:
2 inches 5 inches and 1/4 inches
Answer:
7 1/4 inches
Step-by-step explanation:
Combining 2 and 5 inches, we get 7 inches.
Combining 7 inches and 1/4 inches, we get 7 1/4 inches.
Answer: 7.25 inches
2+5= 7 inches
1/4=0.25
7+0.25 = 7.25 inches :)
Verify the following statements and name the property.
A- -6+(+2)
B- 19+(-2)=(-2)+19
C- -7+(-2)
[tex] - 6 - 2[/tex]
[tex] = - 4[/tex]
commutative property.
B- 19+(-2)=(-2)+19[tex] 19 - 2[/tex]
[tex] = 17[/tex]
commutative property.
C- -7+(-2)[tex] - 7 - 2[/tex]
[tex] = - 9[/tex]
closure property.
Find the unknown angle measurement
Answer:
65
Step-by-step explanation:
115 + x = 180
x = 180 - 115
x = 65
Answer:
65°
Step-by-step explanation:
A right-angle equals 90°. Two right angles would be a line like shown in the picture.
So, 90 + 90 = 180.
Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.
180 - 115 = 65
Therefore, 65° equals x.
-kiniwih426
Identify the percent of change as an increase or decrease 15 ounces to 5 ounces
Answer:
it us 67%
Step-by-step explanation:
:))))))) good luck
You roll a number cube once. What is the theoretical probability that you roll a 3 or 1? Enter your answer as a simplified fraction.
Answer:
2/6 or 1/3
Step-by-step explanation:
If it was a average 6 sided cube then 1/3 of the numbers are 3 and one.
A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is the
ship from its point of departure?
The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
The distance from the point of departure?
The given parameters are:
Distance east = 40 miliesDistance southwards = 70 milesAngle = 12 degreesSee attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
Read more about distance and bearing at:
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The formula for the volume of a cylinder is V=pi * r^2 * h.
Solve the formula for r
Answer:
Step-by-step explanation:
Remark
What you want to do is get r on one side of the equal sign and everything else on the other.
Givens
V = pi r^2 h
Solution
Divide by pi
V/pi = pi r^2 h/pi
V/p = r^2 * h
Divide by h
V / h pi = r^2 h / h Cancel h on the right side. Turn equation around
r^2 = V / h pi
Take the square root of both sides
√r^2 = √(V / h pi )
r = √ (V / h pi)
Answer r =√ (V / h pi)
Help me please
The polygons are similar. Find the value of x.
Answer:
12
Step-by-step explanation:
15/10=1.5
8 times 1.5=12
can y’all help me? it’s gradpoint! will give brainliest answer!!
Answer:
f(0) = 1
Step-by-step explanation:
when x = 0 then 0 ≤ x < 2 at x = 0 then f(0) = 1
What is a solution to 3x-26/7=-5/x if x/= 0
Answer:
Step-by-step explanation:
How do u solve this equation? I’m struggling with it.
2a+3c=61
3a+5c=96
Answer:
a=17
c=9
Step-by-step explanation:
balls
Answer:
c=9 and a=17
Step-by-step explanation:
1. 2a+3c=61
2. 3a+5c=96
the LCM between 2 and 3 is 6 so
equation 1 *3
3.6a+9c+183
equation 2*2
4. 6a+10c=192
equation 3 - equation 4
5. -c=-9
c=9
substitute c into equation 1 or 2 to find a
3a+5(9)=96
3a+45=96
3a=51
a=17
Factor out the greatest common factor from the following polynomial.
Answer:
i pretty sure its 6
8x
Step-by-step explanation:
i did the research
Here
Common part is 8 and x⁶
Now
Factor out
8x⁶(x²-3x+8)GCF=8x⁶
Please help,how to do this
Please help me.
2 ^ (2x - 3) * .5 ^ (x - 1) = 200
Answer:
x = 3
Step-by-step explanation:
[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]
Comparing like terms on both sides, we find:
[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]
[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]
Rewrite x^2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
A right circular cylinder has a height of 2214 ft and a diameter 225 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
v = 3,463,118,874
Step-by-step explanation:
2214 * 225 = 498,510
diameter = 498,510
v = pi(d) * h
v = 3.14(498,510) * 2214
v = 1,564,191 * 2214
v = 3,463,118,874
If f(x)= 3x^3+17x^2+22x+8 and x+4 is a factor of f(x), then find ALL the zeros of f(x) algebraically.
Answer:
The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)
Step-by-step explanation:
Sophia invests money in an account paying simple interest. She invests $70 and no money is added or removed from the investment. After one year, she has $72.80. What is the simple percent interest per year?
Answer:
72.80= 70(x)^1
x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself
x= 1.04
4% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
What is the simple percent interest?
Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.
Here given that,
Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].
So,
[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]
which is [tex]4[/tex]% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
To know more about the simple percent interest
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Explain how you know 3⁴=9² without calculating the values.
Answer:
See below
Step-by-step explanation:
[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]
Answer:
think of it like this
Step-by-step explanation:
whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's
Now we got 3^4 how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same
basically you are multtiplying the left side to get the same number on the right because it tells you they are even
The cost of pool service includes labor and supplies. labor is 80% of the total cost. the cost of labor for a certain pool service is $220.
what is the total cost of the pool service?
enter your answer in the box
Answer:
I know im late but the answer is 275 I just took the test on k-12
Step-by-step explanation:
Find the area of the window.
Answer:
2512
Step-by-step explanation:
Formula=πr^2/2
(3.14×40×40)/2
=2512
Which inequality statement describes the two numbers: -22 and a number 47 units to the right of -22?
Answer:
D) -22 < 25
Step-by-step explanation:
If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.
47 units right from -22 is the same as: -22 + 47, which equals 25.
So, we can conclude that -22 < 25 is the inequality.
hope this helps!
Given the function f(x)=3-2x^2, find k such that f(k)=-3
Answer:
k = ±√3
Step-by-step explanation:
Given :
f(x) = 3 - 2x²f(k) = -3To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.
⇒ 3 - 2x² = -3⇒-2x² = -6⇒ x² = 3⇒ x = ±√3We already set a relation before, which is :
x = kTherefore, k = ±√3