Answer:
66 gallons
Step-by-step explanation:
Given that initially 160 gallons of a solution containing 12% salt.
So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.
Let x gallons of water get evaporated so that the remaining solution contains 20% salt.
The remaining amount of solution = 160-x gallons.
As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so
19.2 = 20% of (160-x)
[tex]\Rightarrow 19.2 = \frac {20}{100}\times (160-x) \\\\\Rightarrow 19.2 = \frac {1}{5}\times (160-x) \\\\\Rightarrow 19.2 \times 5= 160-x \\\\\Rightarrow 96= 160-x \\\\\Rightarrow x= 160-96 \\\\[/tex]
[tex]\Rightarrow x= 66[/tex] gallons
Hence, 66 gallons of water must be evaporated to get a 20% salt solution.
Answer:
its A, "gallons of pure water"
Step-by-step explanation: just did it on edg and got it right
There are 3 girls taking swimming lessons and 6 boys. Write the ratio that compares the girls to the total number of students
Answer:
3:9
Step-by-step explanation:
Answer:
3:9
Step-by-step explanation:
hope this helps. if im wrong sorry.
(giving brainliest :)) help please!) Which expression uses the commutative property to make it easier to evaluate 2/3 x 2/4 x 27
Answer:
2/3 x 27 x 1/4
Step-by-step explanation:
a lines slope is 1/3 and its y intercept is -6, what is this equation in slope intercept form?
Answer:
y=1/3x-6
Step-by-step explanation:
Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio representing the car's value every year?
0.84
1.16
1.84
0.16
Answer:
y+mx+6=5
Step-by-step explanation:
What is the equation of the line that passes through the points (-2, 4) and (0,10)?
Answer:
y = 3x + 10
Step-by-step explanation:
first use slope formula:
[tex]\frac{4-10}{-2-0}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
then plug that and the y-intercept into y = mx + b
Answer:
y = 3x+10
Step-by-step explanation:
hope this helps
Write 750% as a decimal and as a fraction in simplest form
Write 4/14 in simplest form
Answer:
2/7
Step-by-step explanation:
14/2=7. 4/2=2 .2/7 is the answer
Answer:
2/7
Step-by-step explanation:
Divide by 2
4 divided by 2 is 2
14 divided by 2 is 7
So 2/7 is the simplest form
Hope this helps :)
w/3 =9
what is w ? W=____
Answer:
27
Step-by-step explanation:
27÷3 = 9
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l
Answer:
the answer is 27 i told u this but need points
Step-by-step explanation:
Matt swam 225 yards in 5 minutes. If Matt swam at a constant rate, how fast did he swim in yards per minute?
-1,125 yd./min
-220 yd./min
-45 yd./min
-5 yd./min
Please answer fast!
Kayla walks at a constant speed from her house to school 3.2 miles away. It takes her 45 minuets to get to school. How many miles did Kayla walk in 25 minuets.
A) 2.4 miles
B) 3.2 miles
C) 1.8 miles
D) 0.5 miles
9514 1404 393
Answer:
c) 1.8 miles
Step-by-step explanation:
Assuming Kayla walks at a constant speed, we have ...
miles/minutes = 3.2/45 = x/25
x = 25(3.2/45) = 1.777... ≈ 1.8 . . . . miles
Kayla walks about 1.8 miles in 25 minutes.
Answer:
C) 1.8 miles
Step-by-step explanation:
Let's use the elimination process for this one. 2.4 and 3.2 are way too large. 0.5 is too small, so the answer is c
Which graph represents the solution set for the quadratic inequality x^2 + 2x + 1 > 0?
Answer:
The answer you selected is correct.
Step-by-step explanation:
The answer has to be greater than 0 so the bottom graph is correct.
The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.
For the given situation,
The quadratic inequality is x^2 + 2x + 1 > 0
[tex]x^2 + 2x + 1 > 0[/tex]
⇒ [tex](x+1)(x+1) > 0[/tex]
Plot this function on the graph as shown below.
From the graph, the function extends in both positive and negative direction at x = -1.
On number line, we can denote it as x = -1 and extends up to infinity on both sides.
Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.
Learn more about inequalities here
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yvonne began making beaded jewelry at home. After 2 months of advertising, costumes began to buy her jewelry. The graph shows the number of sales she made in the first 6 months.
Based on the graph, which stament is true
Answer:
i need the graph
Step-by-step explanation:
graph?
A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%. Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal the discount.
What is the probability that none of the coupons reveal a discount of 50%?
Upper P (Upper X = k) = (StartBinomial n choose k EndBinomial) (p) Superscript k Baseline (1 minus p) Superscript n minus k
Round to 3 decimal places.
The probability that none of the coupons reveal a discount of 50% is 0.28.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Binomial distribution states that,
P = [tex]^nC_kp^k q^{n - k}[/tex]
Now,
30% of the coupons will reveal a discount of 50%.
This means,
p = 30% = 0.3
q = 70% = 0.7
Now,
Select 10 coupons:
n = 10
Now,
The probability that none of the coupons reveal a discount of 50%.
[ None means k = 0 ]
So,
P(k) = [tex]^nC_kp^k q^{n - k}[/tex]
P(0) = [tex]^{10}C_0(0.3)^0 (0.7)^{10 - 0}[/tex]
P(0) = 10 x 1 x 0.028
P(0) = 0.28
Thus,
The probability that none of the coupons reveal a discount of 50% is 0.28.
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Answer:
.028
Step-by-step explanation:
Edge 2023
ok I got it but I think im not sure plsss help!!!
Answer:
7 and 8: these are both proportional relationships because they grow at a constant rate of change
9: for every 40 miles that the car travels, it uses 2 gallons of gas.
10: y= 20x
11: the graph would be steeper and have a greater rate of change. This car would be able to go farther on less fuel.
AOE Find the angle of elevation if you are standing 400 ft. away and the building is 850 ft. tall?
Answer:
64.8°
Step-by-step explanation:
A
Please see attached a rough sketch for your reference
Step one:
Given data
the distance you are standing from the building represent the adjacent =400ft
and the height of the building represents the opposite= 850ft
Step two:
Required is the angle of elevation
applying SOH CAH TOA
Tan ∅= opp/adj
Tan ∅= 850/400
Tan ∅=2.125
∅=Tan-1(2.125)
∅=64.8°
The angle of elevation 64.8°
You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.
The measurement of angle of elevation is [tex]64.798^\circ[/tex]
What is angle of elevation?
What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.
Similarly, there is angle of depression when the observer looks down.
See the figure attached below to understand the symbols used in calculations.
Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).
Let you're standing on point O
Let the building's base is point A.
Let the top of the building is tagged as point E.
Then we have:
Length of OA = 400 ft.
Length of AE = 850 ft.
To find: angle AOE.
By using the trigonometric ratio tangent, we get:[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]
Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]
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Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5)
Answer:
y = 3x - 11
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = 3x + b Input Slope
Step 3:
- 5 = 3 ( 2 ) + b Input x and y values
Step 4:
- 5 = 6 + b Multiply
Step 5:
- 11 = b Subtract 6 on both sides
Answer:
y = 3x - 11
Hope This Helps :)
£310 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as June. How much does Nick get?
ill mark first person brainliest
nick gets 1800 pounds. Hope it helps
Answer:
Nick gets 93 pounds
Step-by-step explanation:
June gets X
Nick gets 3X
Angad gets twice as much as Nick, so 2*(3X) = 6X
X+3X+6X=310
X= 31
We check
June gets 31 pounds
Nick gets 93 pounds
Angad gets 93x2 = 186 pounds
31+93+186 = 310. It's correct!
Help question below please and thank you i will give brainliest
Answer: angle V = 41 degrees (choice B)
======================================================
Explanation:
We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.
Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.
Let z be the measure of angle UTV. Note how
(angleSTR)+(angleUTV) = 180
60+z = 180
z = 180-60
z = 120
Making angle UTV to be 120 degrees
------------------------------------
Now we can focus on triangle UTV since we have expressions for each interior angle
U = 4x-9T = 120V = 5x+6Add up those angles, set the sum equal to 180, solve for x
U+T+V = 180
(4x-9)+(120)+(5x+6) = 180
9x+117 = 180
9x = 180-117
9x = 63
x = 63/9
x = 7
Use that x value to find the missing angle measures
angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees
angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees
Note how
U+T+V = 19+120+41 = 180
which helps confirm our answer.
Answer: angle V = 41 degrees (choice B)
Step-by-step explanation: plz give brainliest
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Answer:
y = 21/17
Step-by-step explanation:
Can I have brainliest pls?
(92)4 in scientific notation BIG POINTS I HAVE UNTIL MIDNIGHT PLS HELP
A.) 9^8
B.) 9^7
C.) 9^6
Answer:
A. 9^8
Step-by-step explanation:
multiply the exponents
Which is the largest 96.145, 96.2 or 96.19
Answer:
96.2
Step-by-step explanation:
set them as 96.145 96.200 96.190 then you will know 96.2 is the largest
Answer:
96.2
round all the numbers.. 96.145 --> 96.15, 96.2--> 96.2, 96.19-->96.2
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP
What equation represents the function?
Answer:
I think its B the line is so going decreasing
Step-by-step explanation:
State the slope of the line.
-2
1
0
undefined
The answer for the slope of the line is 0 zero
(A U B) U (A n B)
A= {1,3,7,9,10}
B={2,5,7,8,9,10}
Answer:
(A U B) = {1,2,3,5,7,8,9,10}
(A n B)= {7,9,10}
(A U B) U (A n B) = {1,2,3,5,7,8,9,10}
Step-by-step explanation:
Solve for x. 2.5x=50
Answer:
x=20
Step-by-step explanation:
2.5x=50
[tex]\frac{2.5}{2.5} =\frac{50}{2.5}[/tex]
x = 20
Have a great day!!!!
PumpkinSpice1
the solution to the equation 2.5x = 50 is x = 20.
To solve the equation 2.5x = 50 and find the value of x, we can divide both sides of the equation by 2.5. By doing so, we eliminate the coefficient of x and isolate the variable.
Dividing both sides by 2.5, we have:
(2.5x) / 2.5 = 50 / 2.5
Simplifying, we get:
x = 20
Therefore, the solution to the equation 2.5x = 50 is x = 20. When we substitute x with 20 in the equation, we have 2.5 * 20, which indeed equals 50. Thus, x = 20 satisfies the equation, and it represents the value that makes the equation true.
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89 divide 8 in decimal
122 students choose to attend one of three after school activities: football, tennis or running. There are 66 boys. 46 students choose football, of which 23 are girls. 18 students choose tennis. 28 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer:
29/61
Step-by-step explanation:
okay, first imma simplify the question a little bit.
122 students; 46 chose football; 18 chose tennis; 28girls + xboys chose running.
okay now let's find the number of students who chose running
122 - 46 - 18 = 58
now, I'll find the probability
P(Running) = 58/122 = 29/61
Topic: Probability
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
what is 0.16(line over six) in reduced form
Answer:
1/6
Step-by-step explanation:
hope this helps.
identifying slopes pls help
Answer:
That is a negative slope
Step-by-step explanation:
Hope this helps