Answer:
18 liters of 6% substance B
42 liters of 2% substance A
Step-by-step explanation:
let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%
6x + 2(60 - x) = 3.2(60)
distribute
6x + 120 - 2x = 192
Combine like terms
4x = 72
Divide bothsides by 4
x = 18 liters of 6%
60 - x = 42 liters of 2%
if 3x+4y=11 and xy=2 solve simultaneously
Answer:
(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
3x + 4y = 11 → (1)
xy = 2 ( divide both sides by y , y ≠ 0 )
x = [tex]\frac{2}{y}[/tex] → (2)
Substitute x = [tex]\frac{2}{y}[/tex] into (1)
3([tex]\frac{2}{y}[/tex] ) + 4y = 11
[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )
6 + 4y² = 11y ( subtract 11y from both sides )
4y² - 11y + 6 = 0
Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term
product = 4 × 6 = 24 and sum = - 11
The factors are - 8 and - 3
Use these factors to split the y- term
4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )
4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term
(y - 2)(4y - 3) = 0
Equate each factor to zero and solve for y
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
y - 2 = 0 ⇒ y = 2
Substitute these values into (2)
y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )
y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Below are 2 similar triangles
The area of triangle A is 20cm^2 work out the area of triangle B
Brian drove 638 miles in 11 hours.
At the same rate, how long would it take him to drive 754 miles?
Answer: 638 x= 754*11
638 x= 8294 then divide by both sides by 638
x = 13
she will drive 754 miles in 13 hrs.
Step-by-step explanation:
brainliest me
help please!! I don't get it :(
Answer:
90 degree
Step-by-step explanation:
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)
Answer:
1 + 1 is 2
Step-by-step explanation:
very hard question
Answer:
Step-by-step explanation:
1+1= 2
Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x
One solution.
No solutions.
Infinite solutions.
Impossible to determine.
Answer:
infinity solution
solution:
-x-3y=-6
x+3y=6
PLEASE HELP I WILL MARK BRANLIEST
Prove triangles below congruent by SSS, SAS, AAS, ASA, or HL. If not congruent choose NC. (multiple choice)
ASA
HL
NC
SSS
AAS
SAS
Answer:
SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Could someone help, please don't put any links!
Thanks!
Answer:
1. D (9/12)
2. B (1/4)
3. C (2^4x3x5)
Step-by-step explanation:
Hope this helps
Answer:
1) D 9/12
2) B 1/4
3) C 2^4 * 3 * 5
Step-by-step explanation:
1)
1/2 = 6/12
5/6 = 10/12
6/12 < 9/12 < 10/12, this is true.
2)
Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.
3)
Factor out 240:
240 = 120 x 2
120 = 60 x 2
60 = 30 x 2
30 = 15 x 2
15 = 5 x 3
2 x 2 x 2 x 2 x 3 x 5
Multiple the 2's together to get the following equation:
[tex]2^{4} * 3 * 5[/tex]
June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.
Answer:
44 gallons
Step-by-step explanation:
3960/3=1320
Each person used 1320 in one month
1320/30=44
Amount of person used / 30 days = gallons used each day
what is the verbal expression for 6f^2+5f
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation:
solve for x, find the measure of all angles.
Answer:
x = 14
angles are 96, 42, 42
Step-by-step explanation:
sum of all angles in a triangle is 180
3x + 3x + 96 = 180
6x + 96 = 180
6x = 180 - 96
6x = 84
x = 14
angles are 96, 3x, 3x
96, 3*14, 3*14
96, 42, 42
Answer:
x=14
Step-by-step explanation:
3x + 3x + 96 = 180º
6x +96º = 180º
6x = 180º - 96º
6x= 84
x = 14
Help please quick I don’t understand this stuff
Hello,
(i) Express n as the subject.
[tex]C=\frac{nA}{n+12}[/tex]
[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]
(ii)
Since C = 6 mL and n = 8 we need to solve this equation of unknown A :
[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]
Thus, the equivalent adult dosage A would be 15 mL
(iii) I let you think about this one
Good Luck
Please solve step by step
Answer:
Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]
Step-by-step explanation:
7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]
= 6[tex]x^{2}[/tex] + 3x
= 3x ( 2x + 1 )
Hopefully this helps.
49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
4.5
An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answer: the answer is 1/2
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{27 {x}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \dfrac{27 {x}^{4} }{ {x}^{2} } [/tex][tex] \dfrac{27 \times x \times x \times x \times x}{x \times x} [/tex][tex]{27 \times x \times x}[/tex][tex]27 {x}^{2} [/tex]Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?
Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.
The difference between Lizzy's base salary and Jackie's is:
= 1,800 - 1,500
= $300
Assuming a nail service costs $20, the amount she makes per service is:
= 20% x 20
= $4
The number of nail services she needs to do is therefore:
= Difference in wages / Amount per service
= 300 / 4
= 75 nail services
In conclusion, Jackie needs to do 75 nail services.
Find out more at https://brainly.com/question/17700034.
Everyday Jayden saves a half of his lunch money. By Friday he has $ 600. How much money does he get daily for lunch?
The amount he gets for lunch is an illustration of mean and averages.
He gets for lunch is $240 daily
Represent the amount he gets for lunch each day be x.
So, the amount saved each day is x/2
From Monday to Friday, the total savings would be 5x/2
So, we have:
[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]
Multiply both sides by 2
[tex]\mathbf{5x = \$1200}[/tex]
Divide both sides by 5
[tex]\mathbf{x = \$240}[/tex]
Hence, the amount he gets for lunch is $240 daily
Read more about mean and averages at:
https://brainly.com/question/16217700
what is the slope of (10,8) and (1,9)
Answer:
1/-9 or -0.111(repeating)
Step-by-step explanation:
Answer:
(1,9)
Over to the right one. then up nine of a graph
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
what is the solution of this equation?
2y=24
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]John's father spent 2 hours and 55 minutes working on his truck if it was 4:55 when he stopped what time did he start
Answer:
2
Step-by-step explanation:
4-2=2
55-55=0
so:
2:00
Equation
Graph
y = 2x +
y=-*x+2
y = –20 - 3
y = 3x - 2
Answer:
I had to interpret y=-*x+2 and y = –20 - 3:
y = -x+2 and y=-20x-3
Graph the equations on DESMOS. The result is attached.
Step-by-step explanation:
what is the sum of 5.4 + (-9.7)
Answer:
-4.3
Step-by-step explanation:
NEED HELP NOW thanks
Answer:
13 uvugugugugycycycycycycy
Step-by-step explanation:
cycle yvy
Step-by-step explanation:
it's somehow confusing because there's no coordinates for line k
help me pls...........
Hello,
We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.
But how do we find the slope (or Gradient) from two points ?
For exemple, let's find the gradient of the two points PQ...
Method
1. We need the coordinates of the point P, and the point Q :
P = (6 ; -11)
Q = (k ; -9)
2. The slope is the change in height divided by the change in horizontal distance.
In other words we :
a) subtract the x values
b) subtract the y values
c) divide
Application for PQ
subtract x values : xQ - xP = k - 6
subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2
divide : (k-6) / 2
That is the gradient of PQ.. Now let us find the gradient of PR
Application for PR
subtract x values : xR - xP = 2k - 6
subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8
divide : (2k-6)/8
That is the gradient of PR.
We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :
gradient of PQ = gradient of PR
(k-6) / 2 = (2k - 6) / 8
k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)
8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)
8k - 4k = - 12 + 48
4k = 36
k = 36 / 4 = 9
So the value of k in order for the two gradients to be equals needs to be equal to 9
Good luck
I don’t understand what’s it asking for and I don’t know the answer
Answer:
y_1=9(x_8)
y_1=9x_72
9x_y=71
9x_y_71=0
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in