Answer:
Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.
You need to end up a mixture that is 60% antifreeze.
You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).
.
You will add 'x' gallons of 70% antifreeze to make the 60% mixture.
So, at the conclusion, you will have (90+x) gallons 60% 'pure' antifreeze. That can be shown with the equation:
.
.25*90 + .7*x = .6*(90+x)
.
Multiply by 100 to eliminate fractions.
.
25*90 + 70x = 60(90 +x)
.
2250 + 70x = 5400 + 60x
.
10x = 5400 -2250
.
10x = 3150
.
x = 315 gallons of 70% antifreeze.
.
How much will you end up having on hand?
90 + 315 = 405 gallons
.
If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?
.6*405 = 243
.
In the original 90 gallons, you have 22.5 gallons of pure antifreeze.
In the additional 315 gallons, you have .7*315 = 220.5 gallons.
22.5+220.5 = 243 gallons
Step-by-step explanation:
Need to find the area of ABCE
Answer:
Find areas of square and triangle separately
ABDC= l x l
= 9 x 9
=81
AED= l x h x 1/2
= 9 x 9 x 1/2
=40.5
Area = 81+40.5
= 121.5 cm2
Please help me with this. I’m having trouble.
Answer: I think it’s 55 i am sorry if it’s wrong
Step-by-step explanation:
I don’t know C help please please please
please
9514 1404 393
Answer:
c) points: (0, 600), (1, 400); equation: y = 100 +500·(0.6^x)
Step-by-step explanation:
c) It is convenient to choose points that are on the grid intersections. Two such points are ...
(0, 600) and (1, 400)
From part (a), you know that the horizontal asymptote is 100, so this is the value that is added to the exponential function. That is, the exponential term of the function decays from 600-100 = 500 at x=0 to 400 -100 = 300 at x=1. The "growth factor" is then 300/500 = 3/5 = 0.6.
The exponential equation is then ....
y = (horizontal asymptote) + (initial exponential term)(growth factor)^x
Using the numbers we just developed, this is ...
y = 100 + 500(0.6^x)
What part does interest play in deficit spending?
Government must pay interest on money they borrowed when they take on debt
Citizens must pay interest when their government borrow money
Government to be charge foreign countries inches when they borrow money
Interest is not a factor when a governments budget is in deficit
Answer:
Government must pay interest on money they borrowed when they take on debt
slope=8, y-intercept=2 Write each equation that describes each line in slope-intercept form
thats messed up are you 5 years old or something
Use the distributive property to remove the parentheses.
6c5(2c2-9)
Simplify your answer as much as possible.
Answer:
[tex]12c^{7} -54c^{5}[/tex]
Step-by-step explanation:
Answer:
is that a among us code ok let me join
a person who wants to get in shape goes to a local gym that advertises 45 training sessions for $712. find the cost of 145 training sessions
Answer:
2294.2222
Step-by-step explanation:
HELPP ME PLEASE I’ve been here 3 hours trying to figure this thing out
Answer: 32 sq.cm
Step-by-step explanation:
If you think of it as there being 2 squares instead of 1, you can think well since the whole one side of the rectangle is 8cm and the half side is 4 then that must mean that the other square that you just divided up must be 3 by 4 so then you can multiply those and get 12 and you do the same for the other one which would be 4 by 5 and when you multiply those you will get 20 and when added you get 32. Hope this helps :)
Answer:
32 sq
Step-by-step explanation:
A
A=LXW
A=3X8
A=24
B
A=LXW
A=4X2
A=8
24+8=
Quick answers please!!!
Answer:
Step-by-step explanation:
The higher the frequency, the higher the pitch.
so it 10000 Hz
Answer:
10,000 Hz
Explanation:
Pitch is directly proportional to frequency . Hence, 10,000 Hz has a highest pitch.
Please help me?!!!!!!
Answer:
It is easy
Step-by-step explanation:
1)100%=120kg
so 50%=120/50
=60kg
2)100%=120
so 25%
=120/25
=30kg
Mark as brainliest if it reallly helped you
On a coordinate plane, the x-axis is labeled bags of trail mix and the y-axis is labeled ounces of almonds. Line a is labeled y = 4x, line B is labeled y = 2 x, and line C is labeled y = x + 2.
Trevor uses 2 ounces of almonds in each bag of trail mix he makes.
A 2-column table with 3 rows. Column 1 is labeled bags of trail mix with entries 2, 4, 6. Column 2 is labeled almonds (ounces) with entries 4, 8, 12.
Line
on the graph represents the same relationship between quantities.
Answer:
Line B
Step-by-step explanation:
Only one line on the graph shows 2 ounces of almonds for 1 bag of trail mix: line B.
Answer:
line b
Step-by-step explanation:
Find all possible values of x for which these two triangles are similar.
Answer:
I see no solution.
Step-by-step explanation:
The sum of the angles of a triangle is 180°
Given
x+ x + 10 +y = 180. and
2x -50 + 50 + y = 180
y represents the angles with no value indicated.
Simplifying:
2x +y +10 = 180
2x + y = 180
This looks like a no solution system.
If I'm missing something, I hope someone else can explain it.
The two triangles are similar when two angles of the triangle are equal.
The possible value of x which the two triangles are similar is x = 60°
Reasons:
Required;
To find the values of x for which the two triangles are similar
Method:
Given that two angles of the triangle are specified, the triangles can be
similar for only one value of x.
Solution:
The two triangles are similar when we have;
x + 10° = 2·x - 50°
Which gives;
2·x - x = 50° + 10° = 60°
x = 60°
Checking gives;
x + 10° = 2·x - 50° = 70°
Two angles of the first triangle are;
70° and 60°
The third angle of the first triangle is (180° - (70° + 50°)) = 60°
The three angles of the first triangle are therefore; 70°, 60° and 50°.
Two angles of the second triangle are;
70° and 50°
The third angle of the second triangle is (180° - (70° + 50°)) = 60°
The three angles of the second triangle are therefore; 70°, 60° and 50°
Therefore, the two triangles are similar by AAA similarity.
The two triangles are similar when, x = 60°When x = 50°, we have;
x + 10° gives;
50° + 10° = 60°
∴ ∠(x + 10°) = 60°
The two angles of the first triangle are; 60° and 50°
The third angle on the second triangle is 180° - (60° + 50°) = 70°
On the second triangle, we have;
2·x - 50° gives;
2 × 50° - 50° = 50°
∴∠(2·x - 50°) = 50°
Therefore, the two angles of the second triangle are; 50° and 50°
The third angle on the second triangle is 180° - (50° + 50°) = 80°
Therefore, the two triangles are not similar when x = 50°
Similarly, the two triangles are not similar when x + 10° = 50°
Therefore;
The possible value of x which the two triangles are similar is x = 60°
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5th grade math. Correct answer will be marked brainliest.
Answer:
0.065
Step-by-step explanation:
64.9 / 1000 = 0.0649 --> 0.065
Answer:
15.406 kg of sugar per muffin. Just have to divide 1,000 by 64.9
Step-by-step explanation:
What is the solution to 4
***25-79
ΧΣ- 12
ΧΣ 12
Ο χK12
Ο χ4 - 12
Answer:
[tex]\displaystyle x \leq 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle -\frac{3}{4}x + 2 \leq -7[/tex]
Step 2: Solve for x
[Subtraction Property of Equality] Isolate x term: [tex]\displaystyle -\frac{3}{4}x \leq -9[/tex][Division Property of Equality] Isolate x: [tex]\displaystyle x \leq 12[/tex]Here we see that any value x smaller than or equal to 12 would work as a solution to the inequality.
Josh has a $250 gift card to Under Armour.
He plans to buy as many pairs of shorts as he
can. The cost of each pair is $22.50. There is also
a single shipping charge of $6.50. How many
pairs of shorts can he afford without spending
more than his gift card amount? Write the
inequality, then solve, and state your answer.
Answer:
8 pairs
Step-by-step explanation:
250/29 = 8.6
so 8 is the answer cause you probably can't cut them in half
Answer:
10 pairs
22.50x+6.50<_250
Step-by-step explanation:
If you do 22.50 times 10 you get 225 then you add 6.50 which would give you 231.50. You cant add any more pairs of shoes because you would go over the $250 limit. For example if you added 22.50 one more time you would be at 254. Therefore it would be 10 pairs of shoes.
Unit price $12 for 150lb bag
Answer:
For $1 its 12.5lbs
Step-by-step explanation:
Compare the following numbers, use a <, > to fill in the blank: 6 __ 2
Answer:
6 _>_ 2
Hope it helps
Have a good day
Ms. Parker earns $5 per hour babysitting. She already had $2 before she started. How
many hours does she have to babysit to have $22?
Answer:
4 hours
Step-by-step explanation:
simply multiply
At a company meeting, there were 45 people in attendance. 80% of them were managers. How many managers were in the meeting?
I will Give Out the Brainlest
Answer:
36 managers
Step-by-step explanation:
Consider this quadratic equation.
x + 2x + 7 = 21
The number of positive solutions to this equation is ____
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is _____
Answer:
1 solution
2.88
Step-by-step explanation:
Consider this quadratic equation.
x ^2+ 2x + 7 = 21
Subtract 7 from both sides
x ^2+ 2x + 7 -7= 21-7
x^2+2x = 14
x^2+2x -14 = 0
Factorize
x = -2±√2²-4(-14)/2
x= -2±√4+56/2
x = -2±√60/2
x = -2±7.75/2
x = -2-7.75/2 and -2+7.75/2
x = -9.75/2 and 5.75/2
x = -4.88 and 2.88
Hence there are 1 number of positive solution
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is 2.88
Answer:
The number of positive solutions to this equation is
1
The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
2.87
Step-by-step explanation:
f(x) = 2x2
Find f(-6)
Scientists measured the size of Dungeness crab shells
over a 10 year period from 1982 to 1992, both in
nature and in the laboratory
x = premoult (before shedding) shell size (mm)
y = postmoult (after shedding) shell size (mm)
This bivariate data set was modelled using a linear
least
squares regression line 9=0.9056x+26.729
with a correlation coefficient of r = 0.990.
Predict the value of a postmoult shell in mm, given
that premoult shell size was 90 mm.
Answer:
sorry wish I could've helped you
what kind of coin is this? i found it on the sidewalk:
Answer:
is that a nickel? i cant see it well
Answer:
its Eisenhower one dollor coin. its a pretty pog coin ngl
Step-by-step explanation:
Please help!
F(x)=1-3x;x=4,x=4+h
Determine net change and average change between the given values of the variables
f(x) = 1-3x, x = 4 , x = 4+h
(a) find the net change of f(x):
f1= f(x=4) = 1-3(4) = 1 - 12 = -11
f2= f(x=4+h) = 1-3(4+h) = 1-12 + 3h = -11 - 3h
Net change = f2 - f1 = -11 -3h - -11 = -3h
(b) average rate of change = slope = (f2 - f1)/(x2-x1) = -3h/((4+h)-4 =-3
Help help help plzzzz
Answer:
2.5824 × 10⁶
204/5.3 = 38.49056. Round to 38.49
Step-by-step explanation:
scientific notation
1.20 × 2.152 = 2.5824.
Answer:
1. 2.58
2. 39
Step-by-step explanation:
I’ll give you brainliest Find the slope of the line graphed below.
Answer:
0.5 is the answer . look at the picture
Answer:
Step-by-step explanation:
0.5
90 divided by 3 + ( 3 - 2 ) - 20.
Answer:
11
Step-by-step explanation:
first 3-2=1 the divide 90 by 3 then add the 1 the subtract that by 20 and you will get 11
The result of the expression 90 divided by 3 plus the quantity (3 minus 2) minus 20 is 11.
To evaluate the expression 90 divided by 3 + (3 - 2) - 20, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Order/Exponents, Division/Multiplication, and Addition/Subtraction:
First, let's simplify the expression within the parentheses:
3 - 2 = 1
Now we can substitute the simplified expression back into the main expression:
90 ÷ 3 + 1 - 20
Next, perform the division:
90 ÷ 3 = 30
Now we have:
30 + 1 - 20
Next, perform the addition:
30 + 1 = 31
Finally, perform the subtraction:
31 - 20 = 11
Therefore, the value of the expression 90 divided by 3 + (3 - 2) - 20 is 11.
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I need help on this I'll give brainiest
Answer:
Identify and combine the x^2 terms: The terms are x^2,4x^2,x^2. The combination is 6x^2
Indentify and combine the x terms:The terms are 2x, x, 3x. The combination is 6x
Indentify and combine the constants: The constants are 3,9, 11. The combination is 23.
The simplified expression becomes: 6x^2+6x+23
find X that make the triangle similar you need to write and solve a proportionality. need asap!
Answer:
choice 5) x = 9
Step-by-step explanation:
(x-4)/(x+3.5) = 8/20
20x-80 = 8x+28
12x = 108
x = 9
Given that M is the midpoint of line segment AC, AM = x + 20, and MC = 5x - 4. Find the lenght of AM.
Answer:
6 units
Step-by-step explanation:
AM = MC
AM = x + 20
MC = 5x - 4
x + 20 = 5x - 4
20 = 4x - 4
24 = 4x
x = 6
The required length of the AM is 27.
Given that,
M is the midpoint of line segment AC,
AM = x + 20, and MC = 5x - 4.
To find the length of AM.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
M is the midpoint of line segment AC, i.e.
AM = AC - - - - - - - - - - -- - - (1)
AM = x + 20, and MC = 5x - 4
Put AM and MC in equation 1
x + 20 = 5x - 4
5x - x = 20 + 4
4x = 24
x = 24 / 4
x = 7
Now,
Length AM = x + 20
Length AM = 7 + 20
Length AM = 27
Thus, the required length of the AM is 27.
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