Answer:
[tex]\huge\boxed{x=-26}[/tex]
Step-by-step explanation:
[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]
Answer:
-26
Step-by-step explanation:
Express as a trinomial.
(x−5)(x−2)
Answer:
x^2 - 7 x + 10
Step-by-step explanation:
use the foil method to multiply the terms.
Also - you can just plug these types of equations into WolframAlpha...
in this case you are looking for "expanded form"
Ann is having a birthday party at a pizza place. The restaurant charges $100
plus $12 per guest. The total cost of the party (y) can be represented by the
equation
y = 12x + 100. What does the slope represent?
Please help??????
Answer:
The slope represents how much it will cost per customer
Step-by-step explanation:
btw im not fully sure so correct me if im wrong plz
Solve the following equation
5(3x+5)=3(5x+1)
Answer:
No solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
5(3x+5)=3(5x+1)
Step 1: Simplify both sides of the equation.
5(3x+5)=3(5x+1)
(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)
15x+25=15x+3
Step 2: Subtract 15x from both sides.
15x+25−15x=15x+3−15x
25=3
Step 3: Subtract 25 from both sides.
25−25=3−25
0=−22
Answer:
There are no solutions.
Variable will the value of the function be equal to −6; −3; 0? Answer: If the value of the function is equal to −6, the value of the independent variable is equal to . If the value of the function is equal to −3, the value of the independent variable is equal to . If the value of the function is equal to 0, the value of the independent variable is equal to .
Complete Question:
A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?
Answer:
If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.
Step-by-step explanation:
Given:
[tex] y = 0.3x - 6 [/tex]
Required:
Find x, if y = -6; -3; and 0.
SOLUTION:
x = the independent variable
y = dependent variable
To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -6 = 0.3x - 6 [/tex]
[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 0 = 0.3x [/tex]
[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 0 = x [/tex]
[tex] x = 0 [/tex]
To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] -3 = 0.3x - 6 [/tex]
[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 3 = 0.3x [/tex]
[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:
[tex] y = 0.3x - 6 [/tex]
[tex] 0 = 0.3x - 6 [/tex]
[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)
[tex] 6 = 0.3x [/tex]
[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]
[tex] 20 = x [/tex]
[tex] x = 20 [/tex]
Dedra’s boat used 5 gallons of gasoline in 4 hours. At this rate, how many gallons of gasoline will the boat use in 10 hours?
Answer:
Step-by-step explanation:
4 times 2 1/2 equals 10
5 gallons times 2 1/2 equals 12.5
The boat will use 12.5 gallons in 10 hrs
Hope this helped!
The number of gallons of gasoline the boat uses in 10 hours will be 12.5 gallons.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Dedra’s boat used 5 gallons of gasoline in 4 hours.
Then the rate will be
Rate = 5 / 4
Rate = 1.25 gallons per hour
At this rate, then the number of gallons of gasoline the boat uses in 10 hours will be
⇒ 1.25 x 10
⇒ 12.5 gallons
The number of gallons of gasoline the boat uses in 10 hours will be 12.5 gallons.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?
Answer:
Victor runs 0.6 of a lap in 1 minute
Step-by-step explanation:
From the question;
3 laps = 5 minutes
x laps = 1 minute
3 * 1 = 5 * x
3 = 5x
x = 3/5
x = 0.6
Victor runs 0.6 of a lap in a minute
Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?
Answer:
The statement is;
A number is a prime number if and only if it has 1 and itself as factors
The truth value of this statement is true T
Step-by-step explanation:
The biconditional statement will use the statements if and only if.
Thus, we have;
A number is a prime number if and only if it has only 1 and itself as factors
The truth value of the biconditional statement is T ( true)
Melanie connected a brown garden hose, a green garden hose, and a black garden hose to make one long hose. The brown hose is 10.75 feet long, the green hose is 16.4 feet long, and the black hose is 8.5 feet long. What is the farthest distance the one long hose can reach? 18.65 ft 24.65 ft 34.84 ft 35.65 ft
Answer:
35.65 feet
Step-by-step explanation:
Melanie connected a brown garden hose , a green garden hose and a black garden hose to make one long hose
The brown hose is 10.75 feet
The green hose is 16.4 feet
The black hose is 8.5 feet
Therefore the farthest distance that the one hose can reach can be calculated as follows
= 10.75 + 16.4 + 8.5
= 35.65 feet
Hence the farthest distance that one hose can reach is 35.65 feet
4.3602x10^4 estimate
Answer:34
4
Step-by-step explanation:
Answer:
43602
Step-by-step explanation:
hope this helps :)
In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Answer:
1-x-2+2x = 10x-25-x
Step-by-step explanation:
The given equation is as follows :
1-(x+2)+2x=5(2x-5)-x
We need to solve the above equation.
Firstly opening bracket off LHS and applying distributive property at RHS.
1-x-2+2x=5(2x)-5(5)-x (Distributive property :a(b+c) = ab+ac)
1-x-2+2x = 10x-25-x
So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.
Answer:
It's b
Step-by-step explanation:
I got it right on edge
If x + 2y = 8, and x - y = 5, what is the value of x?
Answer:
x = 6
Step-by-step explanation:
Let's solve y for x + 2y = 8.
x + 2y = 8
2y = -x + 8
y = [tex]-\frac{1}{2}[/tex]x + 4.
Let's solve y for x - y = 5.
x - y = 5
y = x - 5
Since both equations have been solved for y, we can combine them together into one!
x - 5 = [tex]-\frac{1}{2}[/tex]x + 4
x [tex]+ \frac{1}{2}[/tex]x = 4 + 5
1.5x = 9
x = 6
Hope this helped! If not, please let me know!
PLS ANSWE PLS NEED HELP ASAP
Answer:
D. 75
Step-by-step explanation:
Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)
A parent has washed some nappies in a strong bleach solution and wishes to rinse them so that they contain as weak a bleach solution as possible. By wringing out, the nappies can be made to contain just half a litre of solution. Show that two thorough rinses, such that the solution strength is uniform, the first using 12 litres of water and the second using 8 litres of water, reduces the strength of the
1 425
If 20 litres of clean water is all that is available and the parent is prepared to do only two rinses, how best should the water be divided between the two rinses?
Answer:
a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
Step-by-step explanation:
The given parameters are;
The initial volume of strong bleach solution in the nappies = 1/2 Liters
The volume of water first used to rinse = 12 liters
The volume of water used in the second rinse = 8 liters
Therefore, we have;
The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters
The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L
The volume of the first rinse introduced in the second rinse = 1/2 Liters
The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L
The volume of water added in the second rinse = 8 liters
The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters
The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)
The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The the quantity of water in the first rinse = x
The amount of water in the second rinse = 20 - x
The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)
The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)
The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x
The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)
The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;
[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]
2·(x - 10) = 0
x = 0/2 + 10 = 10
x = 10
The the quantity of water in the first rinse = x = 10 liters
The the quantity of water in the first rinse = 10 liters
The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters
The amount of water in the second rinse = 10 liters
The water should be divided into two quantities of 10 liters each
Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.
Answer: a) Two thorough rinses gives;
1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L
b) The water should be divided into two quantities of 10 liters each
what is binomil (2a–1)(a–3)
Answer:
[tex]2a^2-5a+3[/tex]
Step-by-step explanation:
2a(a-3)-1(a-3)=
2a^2-6a-a+3=
2a^2-5a+3
Answer:
Step-by-step explanation:
if medain of 10, 20, x+5,x+10,50,60 is 35 then find x
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
Is the statement true or false
Answer:
it is false
Step-by-step explanation:
If angle P measures 60 degrees, what is the measure of angle C?
A)120
B)30
C)60
Answer:
Answer is 120
Step-by-step explanation:
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
HELP ASAP!! pleaseeeee
Hello, I need help on this :)
Enter a number/answer
What is the measurement of b?
Answer:
21
Step-by-step explanation:
The rule for a right triangle is (x^2)x(y^2)=(z^2)
so 20 squared is 400 and 29 squared is 841.
And since the side with the length 29 is the hypotenuse.
It is 400 + [tex]\sqrt{x}[/tex] = 841
841-400=441
the square root of 441 is 21
What’s the volume of this shape?
Answer:
V=72x³y³
Step-by-step explanation:
The formula to apply is;
V= l * w * h where
V= volume in units cubed.
l= length = 3xy
w=width = 4xy
h= height = 6xy
Substitute values in the formula as;
V= l*w*h
V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}
V= 72*x³*y³
V= 72x³y³ --------where xy are the units used.
*EXTRA PTS PLS ANSWER* Find the equation of a line that has a slope of 1/2 and a y-intercept = 1. (Don't leave any spaces in between characters) *
Answer:
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] and c = 1 , thus
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of line
Which of the binomials below is a factor of this trinomial?
6x2- 5x-25
A. 2x-5
B. 6x-5
O C. 6x + 5
D. 2x + 5
Answer:
A. 2x-5
Step-by-step explanation:
(2x-5)(3x+5)
Hope this helps!
Answer:
A. 2x-5
Step-by-step explanation:
A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.
Answer: The initial value of the function is 625. This means that the first child costs $625 to send to camp.
Step-by-step explanation: I took the quiz
m² - 9m +8
(Factoring)
show steps
Answer:
I really dont know sorry love <3
Step-by-step explanation:
Lin and Elena have discovered they have so much in common. 1. They each walk 500 units to school. Who walks 500 feet, and who walks 500 yards? A grid of three buildings labeled "School", "Lin's house", and "Elena's house". Select the correct choice. A Lin walks 500 feet and Elena walks 500 yards.Lin walks 500 feet and Elena walks 500 yards. B Lin walks 500 yards and Elena walks 500 feet.Lin walks 500 yards and Elena walks 500 feet.
Answer:
Lin walks 500 feet and Elena walks 500 yards
Step-by-step explanation:
First of all, 1 yard is greater than 1 feet, there relation is given by:
1 yard = 1 feet
From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.
Answer: lin walks 500 feet and elena walks 500 yards
Step-by-step explanation:
1 foot is smaller then one yard
Dylan is planting flower boxes to decorate the school entrance. He has 64 marigolds and 72 periwinkles. Each flower box must contain both flowers. He puts the same number of marigolds in each flower box, and the same number of periwinkles in each flower box. What is the maximum number of flower boxes Dylan can plant and how many marigolds and periwinkles will each flower box have?
Answer:
Dylan can plant maximum 8 plants.
Number of marigolds in each flower box [tex]=8[/tex]
Number of periwinkles in each flower box [tex]=9[/tex]
Step-by-step explanation:
Number of marigolds = 64
Number of periwinkles = 72
To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.
[tex]64=2^6\\72=2^3\,\,3^2[/tex]
So,
H.C.F(64, 72) = [tex]2^3=8[/tex]
That is Dylan can plant maximum 8 plants.
Number of marigolds in each flower box = [tex]\frac{64}{8}=8[/tex]
Number of periwinkles in each flower box = [tex]\frac{72}{8}=9[/tex]
Jeremy is saving up to buy a new video game system. Two weeks ago, Jeremy only had $14.75. He has worked for 26 hours at the local grocery store, where he earns $10.15 per hour. If the video game system costs $400.00, how many more hours must Jeremy work before he can purchase the system?
Answer:
12 more hours
Step-by-step explanation:
$400 is the cost (LESS) $14.75 that he has already
Total needed is now $385.25
He worked 26 hours at 10.15 = $263.90 that he already has
$385.25-$263.90 = $121.35
$121.35 Divided by his hourly wage of $10.15 = 11.95 (or 12 hours)
Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1
Answer: The points C(1,2) and E(2,2) make both inequalities true
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line
------> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution
Plot the points and verify if lie on the shaded area
Let
see the attached figure
The points C(1,2) and E(2,2) lie on the shaded area
The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A
The point D(2,-1) satisfy inequality A but don't satisfy inequality B
therefore
The points C(1,2) and E(2,2) make both inequalities true