A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio
Answer:
7⅓ cups of water
Step-by-step explanation:
Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)
To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:
¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water
¾ : 5½ = 1 : x
[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]
[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]
[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]
[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]
[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]
[tex] \frac{3}{22} = \frac{1}{x} [/tex]
Cross multiply
[tex] 3x = 22 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{22}{3} [/tex]
[tex] x = 7\frac{1}{3} [/tex]
Number of cups of water to add to 1 cup if salt is 7⅓ cups.
Lauren can wash a
car in 20 minutes.
How long will it take,
in hours, for her to
wash 60 cars?
Answer:
The answer is 20 hours
Step-by-step explanation:
20x60=1200
1200÷60=20
=========================================
One way to solve
1 car = 20 minutes
3*(1 car) = 3*(20 minutes) multiply both sides by 3
3 cars = 60 minutes
3 cars = 1 hour
20*(3 cars) = 20*(1 hour) ... multiply both sides by 20
60 cars = 20 hours
-------------------
Another way to solve
(1 car)/(20 minutes) = (60 cars)/(x minutes)
1/20 = 60/x
1*x = 20*60 ... cross multiply
x = 1200 minutes
x = (1200 min)*( (1 hr)/(60 min) )
x = (1200/60) hr
x = 20 hours
Please help this answer!!!!!!!!!!!!
An electrician has a 16-foot spool of wire and he needs to cut an 11-foot, 4 inch piece from the spool to make a repair. How many inches of wire will he have left on the spool after he makes the repair ?
Answer:
I might be stupid but 5 feet and 8 inches...im not positive tho. good luck
Answer && Step-by-step explanation:
just do 16-11, we also know there are 12 inches in a foot so do 12-4
5 feet, 8 inches is the answer
what is 1,557 divided by 34
Answer:
45.7941176471
Step-by-step explanation:
Carson's pool is leaking at a rate of 18 gallon of water every 14 hour. If the leak continues at the same rate, how much water will have leaked from Carson's pool after 1 hour?
Answer:
1 gallon water has leaked
Step-by-step explanation:
Solve by substitution: y = 3x + 4 and y = -2x – 1.
Answer:
x = -1
y = 1
Step-by-step explanation:
y = 3x+4
y = -2x-1
-2x-1 = 3x+4
-5x - 1 = 4
-5x = 5
x = -1
Substitute this x value into 1 of the equations given in the problem:
y = 3(-1)+4
y = -3+4
y = 1
Answer: the answer to x= -1 and y= 1
1.Find the product of 419 and 321.
Answer:
134499
Step-by-step explanation:
When someone asks for the product of something they are saying multiply the two values.
So,
419 x 321 = 134,499
Answer:
$134,499
Step-by-step explanation:
The product is the result of two numbers that are multiplied. In this case 419 and 321.
419 x 321 = 134,499
5.7% interest on $375 18 month loan
evaluate −2xy−1 when y=−1
Answer:
2x-1
Step-by-step explanation:
Researchers investigated whether the proportion of American teenagers with some level of hearing loss was diff erent in 2005–2006 than in 1988–1994. They collected data on random samples of American teenagers in those two time periods. Let the symbol π05-06 denote the population proportion of American teenagers with some level of hearing loss in 2005–2006 and similarly for π88-94. A 95% confidence interval for the parameter π05-06 − π88-94 turns out to be (0.0015, 0.0467).
Required:
What is an appropriate conclusion to draw?
Complete Question
Researchers investigated whether the proportion of American teenagers with some level of hearing loss was different in 2005–2006 than in 1988–1994. They collected data on random samples of American teenagers in those two time periods. Let the symbol [tex]\pi __{05-06}}[/tex] denote the population proportion of American teenagers with some level of hearing loss in 2005–2006 and similarly for [tex]\pi__{{88-94}}[/tex]. A 95% confidence interval for the parameter [tex]\pi__{{05-06}} }- \pi__{{88-94}}[/tex] turns out to be (0.0015, 0.0467).
Required:
What is an appropriate conclusion to draw?
Answer:
The appropriate conclusion is
The sample data provide little evidence to doubt that the proportion of American teenagers with hearing loss was the same in 1988-1994 as in 2005-2006
Step-by-step explanation:
Generally the appropriate conclusion is
The sample data provide little evidence to doubt that the proportion of American teenagers with hearing loss was the same in 1988-1994 as in 2005-2006.
This because the confidence intervals are very close to zero , i.e both the upper limit and the lower limit are close to zero and if we are take 0.05 as our level of significance we see that the both values of the confidence level are small to be significant
Which figure shows the net of a rectangular pyramid?
Answer:
d
Step-by-step explanation:
. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Answer:
D
Step-by-step explanation:
The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Plz help nothing to big but hard for me
Answer: Which question?
Step-by-step explanation:
Find 8% of $40 answers with the nearest penny
Answer:
3.20
Step-by-step explanation:
Sorry i had the same question and i asked the teacher if he could help and he did but he sorta juts gave me the answer so cant really give an explanation so sorry.
The length of a table is 110 cm to the nearest cm
Write down the error interval using inequalities.
10 points for right answer
Answer: they didn’t give the exact answer.
Step-by-step explanation: they rounded to the nearest.
430tens times 30tens equals. Hundreds
Answer:
Hundreds & 100
Step-by-step explanation:
Could someone give me an answer to this please ! :)
Answer:
8units
Step-by-step explanation:
Given parameters:
Area of triangle = 32units²
Base = 8units
Unknown:
height x of the triangle = ?
Solution:
The area of a triangle is given as;
Area = [tex]\frac{1}{2}[/tex] x base x height
Input the parameters and solve for the height;
32 = [tex]\frac{1}{2}[/tex] x 8 x h
32 = 4h
h = 8
height of the triangle is 8units
Please someone explain how to solve for x.
Answer:
x =30
Step-by-step explanation:
We can use ratios to solve
18 20
--------- = ----------
18+27 20+x
Simplify
18 20
--------- = ----------
45 20+x
Using cross products
18 *(20+x) = 20*45
18 ( 20+x) = 900
Divide each side by 18
18 /18*(20+x) = 900/18
20+x =50
Subtract 20 from each side
20+x-20 = 50-20
x=30
Answer:
30
Step-by-step explanation:
to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30
Jada wants to know how fast the water comes out of her faucet. what information would she need to know to be able to determine that
Answer:
Time, and Amount
Step-by-step explanation:
Well she would need to determine a time frame from within the water falling out of the tap, and how much water comes out. then she would need to observe how much water came out in that time frame, and how much time it took.
The information that Jada needs to know how fast the water comes out of her faucet include time and the amount of water.
Since Jada needs to know how fast the water comes out of her faucet include time and the amount of water. For example, let's say the amount of water coming out is 20 liters in 4 hours.
Therefore, this means the amount of water coming out per hour will be:
= 20 liters / 4 hours
= 5 liters per hour.
The main information needed is the time and the amount of water.
Read related link on:
https://brainly.com/question/17908987
What is the slope of the line shown below? (-4, 3) and (3, 1)
Answer:
did u attach a pic of the graph or smth?
Answer:
Step-by-step explanation:
slope of line passing through (-4,3) (3,1)
= (3-1)/(-4-3)
= -2/7
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
find a function r(t) that describess the curve where the following surfaces intersect. answere are not unique x^2 y^2
Complete Question
find a vector function that represents the curve of intersection of the two surfaces. The cylinder [tex]x^2+y^2= 36[/tex] an the surface [tex]z=xy[/tex]
Answer:
The function is [tex]r(t) = 6cos(t) \ i + 6sin (t) \ j + 36costsint \ k[/tex]
Step-by-step explanation:
From the question we are told that
The equation of the cylinder is [tex]x^2+y^2= 36[/tex]
The equation of the surface is z = xy
Generally the general form of this function is
[tex]r(t) = x(t)i + y(t)j + z(t) k[/tex]
Generally to confirm the RHS and the LHS of the equation for the cylinder
Let take x (t) = 6cos(t)
and y(t) = 6sin (t)
So
[tex]x^2 + y^2 = [ 6cos(t)]^2 + [6 sin (t)]^2[/tex]
=> [tex]x^2 + y^2 = 6^2 cos^2t + 6^2 sin ^2t[/tex]
=> [tex]x^2 + y^2 = 6^2 [cos^2t + sin ^2t] [/tex]
Generally [tex]cos^2t + sin ^2t = 1[/tex]
So
[tex]x^2 + y^2 = 36[/tex]
So at x (t) = 6cos(t) and y(t) = 6sin (t) the RHS is equal to LHS
So
[tex]z(t) = x(t) * y(t)[/tex]
[tex]z(t) = (6 cos(t)) * (6 sin(t))[/tex]
=> [tex]z(t) =36costsint[/tex]
So the function is
[tex]r(t) = 6cos(t) i + 6sin (t) j + 36costsint k[/tex]
if $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years ?
Answer:
154.44
Step-by-step explanation:
What is 13% of 396?
Y is 13% of 396
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 13% * 396
Converting percent to decimal:
p = 13%/100 = 0.13
Y = 0.13 * 396
Y = 51.48
Now multiply by 3 (amount of continuous years)
51.48 * 3
=154.44
Hope it helps!
Choose all the lines that are parallel to the line pictured in the graph bellow.
Answer:
a. y = -½x
b. y = -½x + 3
c. 2y = -x - 4
e. x + 2y = 8
Step-by-step explanation:
Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.
First, find the slope of the line on the graph:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)
[tex] m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} [/tex]
Slope of the line on the graph is -½.
Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.
Slope-intercept form is given as y = mx + b, where, m = slope.
Option 1: y = -½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 2: y = -½x + 3
The slope of this line is also -½, therefore it is parallel to the line on the graph.
Option 3: 2y = -x - 4
Rewrite in slope-intercept form.
y = -x/2 - 4/2
y = -½x - 2
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 4: y = 2x - 5.
The slope of this line is 2, therefore it is NOT parallel to the line on the graph.
Option 5: x + 2y = 8
Rewrite in slope-intercept form.
2y = 8 - x
y = 8/2 - x/2
y = 4 - ½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
how do i find the values for mean and standard deviation
Answer:
1/ Mean: find the average of the numbers by add up all the numbers then divide by how many numbers there are.
2/ Standard Deviation: First, for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. Take the square root of that and we are done!
Find f(5). f(x) = x2 +2x
Answer:
f(5) = 35
Step-by-step explanation:
In any function f(x), x is the input and f(x) is the output
Example:
f(x) = 2x + 3, find f(a)
That means we need to find value of f(x) at x = a, so substitute x by a
f(a) = 2(a) + 3 = 2a + 3
f(a) = 2a + 3
Let us use the same way to solve our question
∵ f(x) = x² + 2x
→ We need to find f(5), so substitute x by 5
∴ f(5) = (5)² + 2(5)
∴ f(5) = 25 + 10
→ Do addition
∴ f(5) = 35
Write an equation in slope-intercept form for the line that has a slope of -1 that passes through (-4,3).
Answer:
[tex]\huge\boxed{y=-x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1;\ y_1)[/tex] - point on a line
========================================
We have
[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]
substitute
[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]
Im dumb help its for a math asighnme t i keep gettinh wrong ignore my spelling this
Laggy
Answer:
B
Step-by-step explanation:
40-30= 10
10/40 = 1/4 or 25%.
Which expression is equivalent to (65) (62)?
о
610
615
Answer: 615
Step-by-step explanation:
Face no more through a garden and travels 1 1/8 meters in 1 1/2 minutes what is the snail’s rate in minutes per meter? HELP ME I NEED IT ASAP
Answer:
4/3 per minute
Step-by-step explanation:
10
-25 please answer
Answer:
(-15)
Step-by-step explanation:
10-25 = (-15)
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