Answer:
130
Step-by-step explanation:
65/50*100= 130
How many pounds of water must be evaporated from 50 pounds of a 3% salt solution so that the the remaining solution will be 5 % salt
Answer:
Step-by-step explanation:
This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!
We will make a table for this:
#lbs solution * % salt = lbs. salt
3% solution
- Water
New solution
And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:
#lbs solution * %salt = lbs salt
3% solution 50 * .03 = 1.5
- Water
New solution
The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:
#lbs solution * %salt = lbs. salt
3% solution 50 * .03 = 1.5
- Water x * 0 = 0
New solution
Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!
The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:
#lbs. solution * %salt = lbs. salt
3% solution 50 * .03 = 1.5
- Water x * 0 = 0
New solution 50 - x * .05 = 2.5 - .05x
Now we're ready for our equation. I got the 2.5 - .05x from multiplying
.05(50 - x), just so you know.
if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:
1.5 - 0 = 2.5 - .05x and solve for x:
-1 = -.05x so
x = 20 pounds of water
Which of the following statements is false?(N=natural numbers)
Answer:
yes N = natural number it's correct what I need to ask
Answer the question based on the data in the two-way table.
Gender Grades
Below
Average Above
Average Total
Boy 14 23 37
Girl 16 22 38
Total 30 45 75
Which statement is true?
A.
P(boy|above average grades) = P(boy)
B.
P(above average grades|boy) = P(above average grades)
C.
P(boy|above average grades) P(above average grades)
D.
P(above average grades|boy) = P(boy)
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
the axis of symmetry is x=2
Please help! Use Pythagorean theorem to find perimeter
Answer:
18 units.
Step-by-step explanation:
A classic right triangle is the 3, 4, 5 triangle. Essentially, 3^2 + 4^2 = 5^2 . Otherwise known as, 9 +16 = 25. With that said, there are two of those that we can make by drawing horizontal lines along the grid. We also know from counting the two vertical sides are each 4 units. To summarize, two sides are 5 units and two are 4 units. We add them together, 5 + 5 + 4 + 4 = 18
what is 8/9 divided 2/3
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Copy dot flip
8/9 * 3/2
Rewriting
8/2 * 3/9
4 * 1/3
4/3
Prove that the circumcenter of a triangle is equidistant from its vertices.
Answer:
Step-by-step explanation:
The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)
A tanker company has
transported 3.788 x 107 tons
of pineapples during its first
ten years of operation and
expects that total amount to
increase by 25% during the
next ten years.
Which measure
represents the total number of
tons of pineapples that the
company expects to transport
during the next ten years?
A 28.788 X 107 tons
B 9.47 x 106 tons
C 4.735 X 107 tons
D 4.038 X 107 tons
Answer:
c
Step-by-step explanation:
107 x 3.778 x 125/100 = 4.735 x 1-7
Can someone help me solve this please!
I am willing to give brainliest too the person who helps the most
Part A
The function y = -16x^2 + c represents the height of the ball at time x
We're told the building is 64 ft tall (roughly 6 stories), so c = 64
That means the function updates to y = -16x^2 + 64
The graph is shown below. Some points of interest on the graph are
(0, 64) ... y intercept(0.5, 60) (1, 48)(1.5, 28)(2, 0) ... x interceptPlot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.
For example, if you plugged in say x = 1, then,
y = -16x^2 + 64
y = -16*1^2 + 64
y = -16 + 64
y = 48
Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.
=========================================================
Part B
From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.
The ball hits the ground at 2 seconds (ie the ball is in the air for 2 seconds).
There's not much in terms of steps or explanation here because much of that was already done.
Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.
The population of a town is 24,000 and is
increasing at a rate of 6% per year for 3 years
the function y=-2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x is the price of a hot dog (in dollars). Find and interpret the 0's of this function.
FOR EASY BRAINLIEST!!! ANSWER ONLY:
7.
8.
9.
10
Answer:
7) 12,000
8) 0.0004253
9) -11/6 < x < -2/3
10) all possible numbers
Which digit is in the thousandths place?
98.327
A. 7
B. 2
C. 3
D. 9
Answer:
A.
Step-by-step explanation:
it is A.
Answer: A. 7
Step-by-step explanation:
Given the number 98.327, then we are going to title each digit with a name
9 = tens
8 = ones
3 = tenths
2 = hundredths
7 = thousandths
Therefore, 7 is in the thousandths place
Hope this helps!! :)
Please let me know if you have any questions
Find the solutions to the equation below.
Check all that apply.
2x^2 + 1-1x + 5 = 0
Answer:
Step-by-step explanation:
The trick here is that the equation factors.
y= 2x^2 + 11x + 5
y = (2x + 1)(x + 5)
So either
2x + 1 = 0 subtract 1 from both sides
2x = - 1 divide by 2
2x = -1/2
or
x + 5 = 0 Subtract 5 from both sides
x = - 5
Answer: B and D
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answer:
B
Step-by-step explanation:
We know that cosθ= adjacent/hypotenuse, sinθ=opposite/hypotenuse, and tanθ=opposite/adjacent.
Using this, we can first try between cos and sin for A-C. We know that two different angles will not have the same side adjacent to both of them. However, one angle might have an adjacent side that is opposite to another angle. Using this knowledge, we can say that A is incorrect, as two different angles in the same triangle cannot have the same cos value (unless the triangle is isosceles).
For B, we can say that cos A = adjacent/hypotenuse = 12/13, and sin C= opposite/hypotenuse = 12/13. These are equal, but we can double check by making sure the other answers are wrong.
For C, we can tell that B is a right angle, signified by the small square representing the angle. sin(90°) = 1, and cosA = 12/13. These are not equal.
Finally, for D, sin A = opposite/hypotenuse = 5/13, while tan C = opposite/adjacent = 12/5. These are not equal
Find the value of 3 √ 512
Answer:
48√2
Step-by-step explanation:
3√(512)
= 3√(256×2)
= 3√(256)×√(2)
→ we know that 16² = 256 then √(256) = 16
Then
3√(512)
= 3 × 16 ×√(2)
= 48√(2)
Trucker's Heaven Diner uses hundreds of plates, glasses, and cups each day. The dishwashers start a new load of dishes every 1 1/4 hours. If the dishwashers work for 10 hours . How many loads off dishes do they wash in that time?
A: 1/2
B: 8
C: 8 3/4
D: 12 1/3
Answer:
B: 8
Step-by-step explanation:
we are given two numbers which we can use to help solve this problem
A: the number of hours the dishwasher is being used
B: how long it takes the dishwasher to do each load
using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.
10 / 1.25 = 8
Quadruple of a number is decreased by twenty gives four.
answer it pls pls
Answer:
[tex]4x - 20 = 4[/tex]
Step-by-step explanation:
Let the missing number be x
Quadruple means 4 times
So According to the question,
4x - 20 = 4 is your answer
Hope this helps
Are shape I and shape II similar? If so, give the dilation that proves they are similar. If not, explain why the shapes are not similar.
Answer:
The answer is "They are similar".
Step-by-step explanation:
They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.
Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.
This is a graph of the function g(x) =-3x+2. Determine the domain value when th
range value is -4.
Range = -4= g(x)
Therefore, g(x) = -3x+2
or, -4=3x +2
or, 3x= -4-2
or, 3x= -6
or, x= -6/3 = -2
OPTION A is the correct answer.
When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.
To find the domain value when the range value is -4 for the function
g(x) = -3x + 2, we need to solve for x when g(x) = -4.
Given: g(x) = -3x + 2
When the range value is -4, we have:
-3x + 2 = -4
Now, isolate x:
-3x = -4 - 2
-3x = -6
Now, divide by -3 to solve for x:
x = -6 / -3
x = 2
So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.
To know more about range:
https://brainly.com/question/29204101
#SPJ2
HELPPP ME OUTTTT!!!!!
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.
[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]=\frac{13}{36}[/tex]
[tex]=0.36111[/tex]
[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]
[tex]\theta \approx 21.17[/tex]
[tex]\theta \approx 21^{\circ}[/tex]
Therefore, measure of the unknown angle is 21°.
Brainly to fastest and correct answer,
Answer:
0.02625
2.1 tenths
2.1
Step-by-step explanation:
Find question attached.
a.x=50°
b.x=22°
Answer:
Solution given:
a:
3x=2*75°[inscribed angle is half of central angle]
3x=150°
x=150°/3=50°
x=50°
b.
<BDC=34°+x[exterior angle is equal to the sum of two opposite interior angle of triangle]
again
<DCB=34°+x[base angle of isosceles triangle]
again
<ABC=90°[inscribed angle on a semi circle is 90°]
Now.
In triangle
ABC
<A+ <B+<C=180°[sum of interior angle of a triangle is 180°]
34°+90°+34°+x=180°
x=180°-90°-68°
x=90°-68°
x=22°
a) Solution
By using the inscribed angle is half of central angle,
→ 3x = 2 × 75
→ 3x = 150
→ x = 150/3
→ x = 50°
Thus, 50° is the value of x.
b) Solution
By using the exterior angle is equal to sum of two opposite interior angle of triangle,
→ <BDC = 34+x
→ <DCB = 34+x
(base angle of isosceles triangle)
→ <ABC = 90°
(inscribed angle on a semi circle is 90°)
Then in ∆ ABC,
By sum of interior angle of a triangle is 180°,
→ <A+<B+<C = 180°
→ 34+90+34+x=180°
→ x = 180°-90°-68°
→ x = 90°-68°
→ x = 22°
Thus, 22° is the value of x.
A model of the Pythagorean Theorem is shown below.
If a = 6 and c = 10 , which of the following could NOT be used to find the value of b?
A. 102 = 62 + b2
B. 102 + 62 = b2,
C. 100 = 36 + b2,
D. 100−36=b2
Answer:
D can others can't..............
Plzzzz help its urgent i will mark u as brainiest i cant find it help
here
Answer:
28.24
Step-by-step explanation:
25 + 32/10 + 4/100
25 + 3.2+ .04
28.24
[tex] \sf25 + \frac{32}{10} + \frac{4}{100} \\ \sf = 25 + 3.2 + 0.04 \\ \sf \: = 28.24[/tex]
Answer:
C. 28.24
Hope you could get an idea from here.
Doubt clarification - use comment section.
What type of function is represented by the following graph:
(a) Linear
(b) Quadratic
(c) Absolute Value
(d) Exponential
Answer:
b) quadratic
Step-by-step explanation:
Answer:
b. quadratic
Step-by-step explanation:
it makes the shape of a parabola
hope this helps
Write an equation of a line containing a point (5, 5) and is perpendicular to
the line passing through (5, 3) and (10, 6).
A) X/4 + 3y = 10
B) -5 X + 3 Y = 40
C) 5x + 3 Y= 40
D) X + y = 0
The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches what’s the triangles width?
Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ
Step-by-step explanation:
Please hurry I will mark you brainliest
The length of a rectangle is 5 less than 4 times the width. The perimeter is 136 m. Determine the dimensions of the rectangle. Write an equation and the “let statements”
Answer:
l = 14.6 m
b = 53.4 m
Step-by-step explanation:
Let breadth be x
Let lenght be 4x-5
so,
perimeter = 2(l+b)
136 = 2(4x-5+x)
or, 136 = 2(5x-5)
or, 136 = 10x - 10
or, 136 + 10 = 10x
or, 146 = 10x
or, x = 146/10
so, x = 14.6 m
so, breadth(x) = 14.6
so, lenght = 4x - 5
= (4×14.6)-5r
= 53.4m