Carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. Which equation can he use to find x, the number of gallons that should be evaporated?
Original
(Gallons)
Removed
(Gallons)
New
(Gallons)
Amount of Salt
13.5
0
Amount of Solution
90
x
StartFraction 13.5 Over 90 minus x EndFraction = StartFraction 25 Over 100 EndFraction
StartFraction 13.5 Over x EndFraction = StartFraction 25 Over 100 EndFraction
13.5 (90 minus x) = 0.25
13.5 (90 minus x) = 25
Answer:
actually the right answer is A
Step-by-step explanation:
if you solve it you get x=36 but remember that x is the amount of water that you need to evaporate so if you want to check it just subtract it from 90 and the salt will be 25%
Which expression is equivalent to 5(8z)
Answer:40z
Step-by-step explanation: i got this answer by using the distributive property. So when I distribute 5 to 8 you just basically multiply the two and add the variable on the end
point d is the foot of the
perpendicular from the point o(2, -3)
to the line y = 3x + 1.
(i) Find the length of DO.
(ii) Find the coordinates of the
reflection of A in the line y = 3x + 1
Answer:
(I) using the equation y=3x+1 at x=2 the length of Line DO is y=3(2)+1
Therefore y=7
(II) the coordinates At x=-3
Y=3(-3)+1=-8
Hence from (I) above also the coordinates are (7,-8)
Step-by-step explanation:
Step 1 :you declare variables
Step 2: you solve the equation at both points on the graph
A number k minus 8.4 is greater than 21.
Answer:
30.4
Step-by-step explanation:
30.4-8.4=22
Mr. Tram was planning his trip from Dallas, TX to Detroit, MI. He knows that the total distance he needs to cover is 1620 km. He usually drives at a speed of 60 km per hour.
Answer:
27 hours
Step-by-step explanation:
1620 divided by 60 = 27
Answer:
27 Hours
Step-by-step explanation:
Divide 1620 by 60 and get.. 27 hours.
richie has a rug in his bedroom with a perimeter of 42 feet. the length of the rug is 12 feet what is the width of the rug
The width of the rug is 9 feet.
Step-by-step explanation:
Perimeter of rug = 42 feet
Lengths are same in square and rectangle shapes; therefore;
Length of rug = 12 feet
Width of rug = w
Perimeter = Length + Length + Width + Width
Perimeter = [tex]12+12+w+w[/tex]
[tex]42=24+2w\\42-24=2w\\18=2w\\2w=18[/tex]
Dividing both sides by 2
[tex]\frac{2w}{2}=\frac{18}{2}\\w=9[/tex]
The width of the rug is 9 feet.
Keywords: perimeter, division
Learn more about division at:
brainly.com/question/10879401brainly.com/question/10940255#LearnwithBrainly
3014 divided by 63___R___
Step-by-step explanation:
We have,
3014 divided by 63
To find, the remainder of 3014 divided by 63 = ?
3014 divided by 63
∴ [tex]\dfrac{3014}{63}[/tex]
= 63 × 47 + 53
We know that,
Dividend = Quotient × Divisor + Remainder
∴ Remainder = 53
Thus, when 3014 divided by 63, the remainder is 53.
What are the coordinates of the x-intercepts of the graph of y = (x - 3)(x + 2) ?
(0, 3) and 0, -2)
(0, -3) and (0, 2)
(-3, 0) and (2, 0)
(3, 0) and( -2, 0)
The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0) ⇒ 4th answer
Step-by-step explanation:
The x-intercepts of a quadratic function is the values of x when y equal to zero
If y = (x - a)(x + b), then to find x-intercepts do that:
Put y = 0Equate each bracket by zeroFind the two values of x ( x = a , x = -b)The x-intercepts are (a , 0) and (-6 , 0)∵ The equation of the graph is y = (x - 3)(x + 2)
- To find the x-intercepts equate y by 0
∴ (x - 3)(x + 2) = 0
- Equate each bracket by 0
∵ x - 3 = 0
- Add x to both sides
∴ x = 3
∵ x + 2 = 0
- Subtract 2 from both sides
∴ x = -2
∴ The graph intersects the x-axis at points (3 , 0) and (-2 , 0)
The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0)
Learn more:
You can learn more about the quadratic function in brainly.com/question/1332667
#LearnwithBrainly
In a recent election in Hartsdale, the leading candidate captured 78% of total votes for state senator.
If there were a total of 24,082 votes, how many votes did this candidate captured?
Answer:
[tex]Leading\ candidates\ votes\approx 18784\ votes[/tex]
Step-by-step explanation:
Percentage:[tex]x\%\ of\ y=\frac{x}{100}\times y[/tex]
[tex]Total\ votes=24082\\\\Leading\ candidates\ votes=78\%\ of\ total\ votes\\\\Leading\ candidates\ votes=\frac{78}{100}\times 24082\\\\Leading\ candidates\ votes=0.78\times 24082\\\\Leading\ candidates\ votes=18783.96\\\\Leading\ candidates\ votes\approx 18784\ votes[/tex]
HELP ! PLEASE
examine the system of equations.
The solution is [tex](x=\frac{-7}{2},\ y=\frac{-13}{2} )[/tex].
Solution:
Given system of equations are
[tex]-3 x+y=4[/tex] ---------- (1)
[tex]-9 x+5 y=-1[/tex] ---------- (2)
To solve the given system of equations by substitution method.
Let us take the equation (1) and find the value of y.
(1) ⇒ [tex]-3 x+y=4[/tex]
Add 3x on both sides of the equation, we get
⇒ [tex]y=4+3x[/tex]
Substitute y = 4 + 3x in equation (2), we get
[tex]-9 x+5 (4+3x)=-1[/tex]
[tex]-9 x+20+15x=-1[/tex]
Combine like terms together.
[tex]-9 x+15x=-1-20[/tex]
[tex]6x=-21[/tex]
Divide by 6 on both sides of the equation.
[tex]$x=-\frac{21}{6}[/tex]
Divide the numerator and denominator by the common factor 3.
[tex]$x=-\frac{21\div3}{6\div3}[/tex]
[tex]$x=-\frac{7}{2}[/tex]
Now, substitute x value in y = 4 + 3x, we get
[tex]$y=4+3\left(\frac{-7}{2} \right)[/tex]
[tex]$y=4+\left(\frac{-21}{2} \right)[/tex]
Take LCM of the denominators and make the same.
[tex]$y=\frac{8}{2} +\frac{-21}{2}[/tex]
[tex]$y=\frac{-13}{2}[/tex]
Hence the solution is [tex](x=\frac{-7}{2},\ y=\frac{-13}{2} )[/tex].
A group of cyclists is planning a 50-
mile ride. The cyclists will stop every
10 miles to rehydrate. If each cyclist
will drink x pints of water at each rest
stop, how many pints of water will
each cyclist drink over the course of
the ride?.. ::
Find the distance from G to S. 13 9 √89 √42
Answer:
square root of 89
Step-by-step explanation:
squ^re r00t 0f 89 !s 9
-5 (-17/2 + 7/2y)-8y=17
Answer:
17
Step-by-step explanation:
What is the mean of the data below?
43,38,37,57,57,58,45
Answer:
You may need to plot them.
Step-by-step explanation:
Looks like your confused, if there is a line plot plot it there. Hope this helps! If it doesn't, phone a friend!
Answer: it would be 47.9 if you rounded to nearest tenth
Step-by-step explanation: Add all numbers together then divide by how many numbers are there
Which decimal is equivalent to 8%
Answer:
[tex]0.08[/tex]
Step-by-step explanation:
Given : 8%
To find the decimal value of the percentage number
Remove the percentage symbol with 100 in the denominator
gives
[tex]\frac{8}{100}\\[/tex]
Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.
Gives = [tex]0.08[/tex]
So, the decimal equivalent of the given value is [tex]0.08[/tex]
0.08
Step-by-step explanation:
8% can be written as 8/100 in the fractional form.
now when we will divide anything by 100, we will count the 0s in 100. here 2 zeros are there.
so we will put the decimal point before two digit. in numerator we already have 8.
we need another digit, so we put 0 then the decimal point.
that means 0.08
The vertex of a parabola can be:
a. Always a minimum
c. Either a minimum or a maximum
b. Always a maximum
d. Both a minimum and a maximus
Answer:
c. Either a minimum or a maximum
Step-by-step explanation:
considering that a parabola can grow or decrease from its vertex we can note that in the case of a parabola with the branches down the vertex will always be a maximum, and in the case of a parabola with the branches up it will always be a minimum.
I need help, this question is confusing because I dont remember learning it! Thanks♡
Answer:
you want to divide 2¾ by ¼to find how many pieces leah cut.
hope this helps.
Step-by-step explanation:
You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 25 feet wide by 20 feet long. You need to stake and rope off where the concrete will be poured. If the new garage is going to have a width of 30 feet, how much rope are you going to need?
To find the amount of rope needed for the new garage, calculate the perimeter of the planned structure. If the new garage is similar to the current one, maintaining the same width to length ratio (5:4), and the width is increasing to 30 feet, the length will be 24 feet. The total rope required is the perimeter, which is 108 feet.
Explanation:To calculate the amount of rope needed for the new garage with a width of 30 feet, we must find the length of the rectangle that represents the area to be roped off for the concrete pour. If the garage maintains the same shape, which is similar to the current one, we can assume that the length will increase in the same ratio as the width.
The current dimensions are 25 feet wide by 20 feet long, which gives a width to length ratio of 25:20 or 5:4. If we increase the width to 30 feet, maintaining the same ratio, the length should be 24 feet (as 30:24 or 5:4). So the perimeter of the new rectangular area will be twice the width plus twice the length (2 x width + 2 x length = 2 x 30 ft + 2 x 24 ft = 60 ft + 48 ft = 108 ft). Therefore, you will need 108 feet of rope to stake out the perimeter of the new garage.
Final answer:
To find the amount of rope needed for the new garage, calculate the perimeter of the new garage by summing all the sides of the rectangle. The perimeter of the current garage can be used as a reference point. The result is 100 feet of rope needed.
Explanation:
To find the amount of rope you will need, you need to calculate the perimeter of the new garage. The perimeter is the sum of all the sides of a rectangle.
The current garage has a width of 25 feet and a length of 20 feet, so its perimeter is 2(25) + 2(20) = 90 feet.
The new garage will have a width of 30 feet, so its perimeter will be 2(30) + 2(20) = 100 feet.
Therefore, you will need 100 feet of rope to stake and rope off where the concrete will be poured for the new garage.
11. Ben is saving money to buy a TV that costs $495,
including tax. Ben opens a savings account with a
deposit of $75 and deposits $65 at the end of each
month. What is the minimum number of months Ben
will need to make deposits until he has enough money
in his account to buy the TV ? .
Answer:
7 months
Step-by-step explanation:
equation:
75+65x
75+65(6)=465 <495
75+65(7)=530>495
Ben will need to make deposits for at least 7 months to have enough money to buy the TV.
Explanation:To determine the minimum number of months Ben will need to make deposits until he has enough money to buy the TV, we can set up an equation.
First, subtract the initial deposit of $75 from the total cost of the TV ($495) to find out how much more money Ben needs: $495 - $75 = $420.Next, divide the remaining amount needed by the monthly deposit of $65: $420 ÷ $65 = 6.46.Since Ben cannot make a fraction of a month, we round up the decimal value to the nearest whole number. Therefore, Ben will need to make deposits for at least 7 months to have enough money to buy the TV.Learn more about determining the number of months needed to save for a purchase here:https://brainly.com/question/34732053
#SPJ11
What plus what equals to -23?
Answer:
-78 + 55 = -23
Step-by-step explanation:
Answer:
Step-by-step explanation:
-78+55 = -23
Fleet charges $8 plus $.90 per pound to ship each package. If the change for shipping a package to Colorado was $19.70 how much did the package weigh
if x:y=5:6 then find the value of 5x-2y:6x+2y
Step-by-step explanation:
x : y = 5 : 6
[tex] \therefore[/tex]let x = 5k & y = 6k
We need to find: 5x-2y:6x+2y
[tex] \therefore \: \frac{5x - 2y}{6x + 2y} \\ \\ = \frac{5 \times 5k - 2 \times 6k}{6 \times 5k + 2 \times 6k} \\ \\ = \frac{25k - 12 k}{30k + 12k} \\ \\ = \frac{13 k}{42k} \\ \\ =\frac{13 }{42} \\ \\ = 13 : 42 \\ \\ \purple{ \boxed{\therefore \: (5x - 2y) :({6x + 2y}) = 13 : 42}}[/tex]
Steps to solve 15.1776 / 2.48
Answer:
see below for one possibility
Step-by-step explanation:
Many methods are taught for doing long division. You may find it most convenient to use the one taught in your class. One method is shown in the attachment below.
Generally, the first step is to adjust the decimal points so the divisor is an integer. Here, that means multiplying both numbers by 100, so the problem becomes 1517.76/248. This makes it easy to keep the decimal point of the quotient in the right place.
If you're using the method illustrated below, you find the smallest portion of the dividend that is a multiple of the divisor between 1 and 9. Multiply the divisor by that quotient digit and subtract the result from the dividend. Repeat as often as necessary to get the desired result. When the remainder is zero, as here, there is no point to continuing, as the remaining quotient digits are zero.
The quotient digit described in the previous paragraph is aligned with the least significant digit of the dividend that you're working with. If that is not adjacent to the previous quotient digit, use zero as a place-holder. The second attachment shows an example.
When the dividend is the same as one you have seen before, it means the digits of the quotient will repeat. The third attachment shows an example of this.
_____
For the problem shown here, you know that 15/2.5 is a number between 1 and 10, so you can ignore the decimal points and place the decimal point in the quotient so its value is between 1 and 10. This is the way it is done when the tool used for division is a slide rule, not a modern scientific calculator. (When using a slide rule, the powers of ten need to be managed manually.)
On a map of Arizona, the scale is 1 inch = 5 inches. The distance between Brady's house and Flagstaff is 23 inches on the map. What is the actual distance between Brady's house and Flagstaff.
So we know that 1 inch on the map = 5 inches.
So if Brady's house is 23 inches away from Flagstaff on the map:
23 * 5 = 115.
So 115 inches is the actual distance...
Wait. His house is 9 feet away from Flagstaff? That's cool.
Roxy is multiplying 18
1
8
by 43
4
3
.
Use the drop-down menu to complete the statement.
CLEAR
The given question has some missing information. By googling the information we can find the complete question here:
https://simplyans.com/mathematics/roxy-is-multiplying-18-by-43-use-t-11879138
The product 1/8 times 4/3 is greater than 1/8.
Step-by-step explanation:
The given information is Roxy multiplying two numbers [tex]\frac{1}{8}[/tex] and [tex]\frac{4}{3}[/tex].
We have to find that their product is less then or greater than [tex]\frac{1}{8}[/tex].
Let us find the product first.
=[tex]\frac{1}{8}[/tex]×[tex]\frac{4}{3}[/tex].
=[tex]\frac{1}{6}[/tex].
Let us now compare [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{8}[/tex].
We can compare a fraction when the denominators of the fractions are same. Else we can use LCM to make the denominator same.
Or else we can turn the fraction into decimal to compare.
LCM method:
1) Find the least common denominator(LCM) for the denominators.
⇒ LCM of 6 and 8 is 24.
2) Next let us change the fractions for equal denominators.
For the 1st fraction,
[tex]\frac{1}{6}=\frac{1 \times 4}{6 \times 4}=\frac{4}{24}[/tex].
For the 2nd fraction,
[tex]\frac{1}{8}=\frac{1 \times 3}{8 \times 3}=\frac{3}{24}[/tex].
Now compare the two new numbers.
[tex]\frac{4}{24}>\frac{3}{24}[/tex].
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction.
Thus [tex]\frac{4}{24}[/tex] is the greater number which means [tex]\frac{1}{6}[/tex] .
i.e. [tex]\frac{1}{6}[/tex] is greater than [tex]\frac{1}{8}[/tex].
Decimal Method:
[tex]\frac{1}{6}[/tex] = 0.167.
[tex]\frac{1}{8}[/tex]= 0.125.
By comparing 0.167 and 0.125,
0.167 > 0.125.
0.167 is greater than 0.125.
Thus [tex]\frac{1}{6}[/tex] is greater than [tex]\frac{1}{8}[/tex].
A slice is made perpendicular to the base of a right rectangular prism, as shown. What is the area of the resulting two-dimensional cross-section? Drag and drop the answer into the box.
Answer: [tex]A=280\ in^2[/tex]
Step-by-step explanation:
The missing figure is attached.As you can observe in the figure attached, when the slice is made perpendicular to the base of the right rectangular prism, the resulting two-dimensional cross-section is a Rectangle.
By definition, the area of a rectangle can be calculated with this formula:
[tex]A=lw[/tex]
Where "l" is the length of the rectangle and "w" is the width.
In this case, looking at the figure attached, you can identify that the length and the width of the rectangle are:
[tex]l=20\ in\\w=14\ in[/tex]
Now, knowing these values, you can substitute them into the formula:
[tex]A=(20\ in)(14\ in)[/tex]
Finally, you must evaluate in order to find area of this rectangle. You get that its area is the following:
[tex]A=280\ in^2[/tex]
Answer:
A which is 280mm
Step-by-step explanation:
What is 5 x 4/5 = and how did you get that answer
Answer:4
Step-by-step explanation:
You only multiple the top or in this case 4 so 4x5= 20/5 simplified would be 20 divided by 5=4
Answer:
4
Step-by-step explanation:
Because all you need to do is multiply-5 times 4 equals 20/5 and 20 divided by 5 equals 4.
A dozen eggs cost $3.84. At this rate, how much would 50 eggs cost?
Help por favor I am having problems
Answer:
∴ΔGHJ ≅ΔLMK
∴ΔABC≅ΔPQR
Step-by-step explanation:
5.
GH= 3.6 , HJ=2.84 and GJ=2.24
LK= 9 ,KM= 5.6 and LM = 7.1
[tex]\frac{LK}{GH} =\frac{KM}{GJ} =\frac{LM}{HJ}[/tex]
[tex]\frac{9}{3.6} =\frac{5.6}{2.24} =\frac{7.1}{2.84} =2.5[/tex]
Therefore ΔGHJ and ΔLMK satisfy SSS rule(side-side-side)
∴ΔGHJ ≅ΔLMK
6.
ΔABC
Since AB=AC this equivalent to the two angels of the triangle are equal
Then
∠CAB+∠CBA=180°-34°
⇔∠CAB=73° [∵∠CAB=∠CBA]
Similarly for ΔPQR ∴ ∠RPQ=∠RQP=73°
Therefore ΔABC and ΔPQR satisfy AAA rule(angle-angle-angle)
∴ΔABC≅ΔPQR
If possible, factor 100 − 121y2.
Answer:
(10 + 11y)(10 - 11y)
Step-by-step explanation:
100 - 121y²
This is a special factoring called difference of squares. Since both of the numbers in the subtraction expression are perfect squares, we can use this rule:
a² - b² = (√a² - √b²)(√a² + √b²)
Take the square root of each number. Add them in one bracket, subtract them in the other bracket.
(10 + 11y)(10 - 11y)
100 is a perfect square because its square root is a whole number.
√100 = 10
121y² is a perfect square because its square root is a whole number, and its variable is squared.
√121 = 11
√y² = y
Answer:
(10 + 11y)(10 - 11y)
Step-by-step explanation:
difference of squares :)