Answer:
A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL
Step-by-step explanation:
3(x-4)=2(-2x+1) please help
Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x-4\right)=2\left(-2x+1\right)[/tex]
Expand, Apply Distributive property:
→ [tex]\sf 3x-12=-4x+2[/tex]
Add 12 from both sides:
→ [tex]\sf 3x-12+12=-4x+2+12[/tex]
→ [tex]\sf 3x=-4x+14[/tex]
Add 4x from both sides:
→ [tex]\sf 3x+4x=-4x+14+4x[/tex]
→ [tex]\sf 7x=14[/tex]
Divide both sides by 7:
→ [tex]\sf \cfrac{7x}{7}=\cfrac{14}{7}[/tex]
→ [tex]\sf x=2[/tex]
______________________________________
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
premium: 165 gallonswater: 120 gallonsStep-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
Juan rolls a number cube 40 times, he rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a 3?
Answer: 6/40 = 3/20
Step-by-step explanation:
The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:
P= Time the event occurs/ Total number of trials
In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40
because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6
because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40
PLS HELP ASAP ITS DUE IN A FEW HOURS ILL GIVE BRAINLKEST THANKS
1) 5 hours
75×5 = 375
2) 215
475-260 = 215
Hope this helped you-have a good day bro cya)
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Erika is going to the store to buy a gallon of milk and some apples. The gallon of milk costs $3.50 and apples
cost $1.50 per pound. Use this information to complete the table, create a graph, and write an equation that
represents Erika’s total cost, C, of buying the milk and a pounds of apples.
Answer:
C = $5.00
Step-by-step explanation:
C = $5.00 because IF Erika gets 1 pound of apples they would cost $5.00
$3.50
+ $1.50
______
$5.00
I am so srry for not being specific.
How do I factor . X2 { squared } -9x+28?
A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.
Answer:
Step-by-step explanation:
Givens
m = 1/4
y2 = 4
y1 = 1
x2 = 2
x1 = x
m = (y2 - y1) / (x2 - x1)
Solution
1/4 = (4 - 1) / (2- x) Simplify
1/4 = 3 / (2 - x) Cross multiply
2- x =12 Subtract 1 from both sides
-x = 12 - 2
-x = 10 Multiply by -1
x = -10
Check
1/4 = (4 - 1) / (2 - - 10)
1/4 = 3/(2 + 10)
1/4 = 3 / 12
1/4 = 1/4
Odd as the answer is, it does check.
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
vertical angles theorem#3
Third angle therom#4
Definition of congruence#5
Reflexive#6
Definition of bisect#7
SASStep-by-step explanation:
Missing reasons:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSfind the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°15 crates of egg cost 4500 how many crates will 1500 buy
Answer:
5 crates
Step-by-step explanation:
1500/4500 = 1/3
1500 is 1/3 of 4500, so 1500 buys 1/3 of 4500.
1/3 * 15 crates = 5 crates
Answer: 5 crates
Answer:
3 crates for $1,500
Step-by-step explanation:
15 is to x as 4500 is to 1500, or 15 is to x as 3 is to 1. Then x = 3 (crates)
what year was it, exactly 4 centuries before 1965?
Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.
A century refers to a period of 100 years.
If we are looking for a period of 4 centuries therefore, this would be:
= 4 x 100
= 400 years
4 centuries before 1965 would therefore be:
= 1965 - 400
= 1565
In conclusion, the answer is 1565.
Find out more at https://brainly.com/question/17498856.
A student subtracted 9 from a number and then divided the result by 3. Her answer was 43.
What was the original number?
Answer:
138
Step-by-step explanation:
Please help! Thankss!! :)
Answer:
21
Step-by-step explanation:
If b = -4, then -4(-4) is 16, since 2 negatives is a positive when multiplying or dividing. Then add 16 and 5, since 5 is c. You'll get 21
What are the domain and range of the real-valued function f(x)=2/x?
Answer:
here is your answer for the question
how many boxes should show on grid for 3/8=18 eggs
The number of box is an illustration of proportions
8 boxes must be shown on the grid
The proportion is given as:
[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]
The above proportion means that:
3/8 of the total number of eggs is 18
Let the total number of eggs, be x
So, we have:
[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]
Express 3/8 as a decimal
[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]
Divide both sides by 0.375
[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]
[tex]\mathbf{x= 48\ eggs}[/tex]
This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid
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Help me out with this problem plz
pls help i was to turn this by tomorrow
Answer:
a d
Step-by-step explanation:
From 11 friends to 12 friends find the percent
Answer:
109.090909%
Step-by-step explanation:
Answer:
9.09091%
Step-by-step explanation:
From 11 friends to 12 friends find the percent
from 11 friends to 12 friends. The number of friends is increased by 1.
To get the percentage of increase:
(12 - 11) / 11 = 1 / 11 = * 100% =
The increase of 1 friend is equivalent to 9.09091% increase
11 is the basis. It is the 100%
1 is the increase. It is the 9.09091%
12 is the total number of friends.
which of these tables represents a function? HELP ASAP
Find the indicated probability.
The following table show the results of a clinical trial for an allergy drug.
It takes 39 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.1
Step-by-step explanation:
I WILL GIVE BRIANLISTSActivity Thinking About Circles Around You Do this activity together to investigate circles in the real world. Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Sincetrac Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! ? Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Answer:
Step-by-step explanation:
1) The sun, the moon, windows, drawings, this: . And much more…
2) For example, how far you have to walk around a track, how big the moon is, how much ribbon you need to wrap around a circle present…
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
n > 8/3
Step-by-step explanation:
Divide both sides of the equation by 3 to make n the only variable left, n> 8/3
25) 2x + 3y = 9
find slope and y intercept
Answer: Slope = -2/3 Y-intercept = (0,3)
Step-by-step explanation: Use the slope-intercept form y = mx + b to find the slope m and y-intercept b.
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
someone help please
Answer:
6 is the Value of the Expression.
Step-by-step explanation:
4 a⁴ - 2 b² + 40 :
4 * ( 2⁴) - 2 * ( 7²) + 40 =
4 * 16 - 2 * 49 + 40 =
64 - 98 + 40 =
-34 + 40 =
+ 6
Hopefully this helps.
MATHS MIDDLE SCHOOL ANSWER ASAP PLEASE
Answer:
A. 1
B. -1
C. 5
Step-by-step explanation:
A. Using the Formula, we get u sub 2 = 9-9+1, which is just 1
B. Using the Formula, we get u sub 3 = 1-3+1, which is equal to -1
C. Using the Formula, we get u sub 4 = 1-(-3)+1, which is just 1+3+1 = 5
Evaluate the expression when a=14 and b=6
−8ab= ?
Answer:
[tex] - 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672[/tex]
Answer:
[tex] \\ \tt- 8ab[/tex]
[tex] \\ \tt = - 8 \times 14 \times 6[/tex]
[tex] \\ \tt= - 672[/tex]
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answer:
16 tiles
Step-by-step explanation:
If the tile is a 1/4 foot wide, then 4 will fit in a foot, and if theres 4 feet to fill, 16 tiles will fit.
If you wanted to write an equation to solve it:
[tex]\frac{1}{4}x=4[/tex]
where x is the number of tiles that will fit. This equation reads "1/4 foot times the number of tiles = 4 feet"
[tex]\frac{x}{4} =4\\x=4\times4\\x=16[/tex]
Determine if the statement is true or false.
Justify your response.
If one vertex of a slope triangle is at (0,0), the other vertex on the line will be the point that represents the simplified unit rate or slope
The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).
Explain about the Slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.
The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.
This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.
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