how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze
Answers
x+80=gallons go final 70% mixture
..
80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
.1x=32
x=320
gallons of 80% solution to be mixed=320
Related Questions
what valúe of x solves the equation?
5+x-6x=-5
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 + x - 6x = - 5}[/tex]
Collect like terms
⇒[tex] \sf{5 - 5x = - 5}[/tex]
Move 5 to right hand side and change it's sign
⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]
Calculate
⇒[tex] \sf{ - 5x = - 10}[/tex]
Divide both sides of the equation by -5
⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]
Calculate
⇒[tex] \sf{x = 2}[/tex]
Hope I helped!
Best regards!!
Answer:
[tex]\Huge \boxed{x=2}[/tex]
Step-by-step explanation:
[tex]5+x-6x=-5[/tex]
Combining like terms.
[tex]5-5x=-5[/tex]
Subtracting 5 from both sides.
[tex]-5x=-10[/tex]
Dividing both sides by -5.
[tex]x=2[/tex]
Need help asap!! close to running out of time to turn this in!
Answers
please help!!
Given the sets A and B expressed in interval notation, find A∩B A = (−∞,91) ∪ [93,+∞) B = (28,94) B = (28,94)
Answers
======================================================
Explanation:
Check out the diagram below.
I have drawn out two number lines with the key points 28,91,93,94 marked on them. The diagram isn't to scale, but that doesn't matter. All that matters is that the numbers line up (eg: we have the two 28's line up vertically).
The first number line drawing on top shows the shading for set A. Everything in the shaded region is either smaller than 91, or larger than 93, or 93 itself. We exclude 91 due to the curved parenthesis. The square bracket says to include the 93.
For the second graph, you have two endpoints as open holes (to exclude both endpoints) and you shade everything between.
-----------
After you draw the two number line regions, you would then mark off the interval(s) that they share in common.
The notation [tex]A \cap B[/tex] means "A intersect B" which means we want to find the stuff that is in both sets at the same time.
So we'll have two pieces here. The portion from 28 to 91 is the first interval, and then the second portion runs from 93 to 94. For each interval sub-piece, the endpoints are excluded
So that leads to the final answer [tex](28, 91) \cup (93, 94)[/tex]
The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 204 square inches. The width of the poster is greater than 10 inches and is prime. What is the width of the poster?
Answers
Answer:
17 inches.
Step-by-step explanation:
If the area of a rectangle is the product of its length and width, then;
Area of a rectangle = Length × Width
Given that the width of the poster is greater than 10 inches and is prime, this means and W>10
Area of the rectangle = 204in²
On substituting the values in the formula;
A = LW
204 = LW
Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.
Let's test each values of the prime width that will give a length that is a whole number.
If W = 11
204 = 11×L
L = 204/11
L = 18.54
Since the length didn't give us a whole number, this means our width is not 11.
If W = 13
204 = L × 13
L = 204/13
L = 15.69
Also, we can see that the length is not also a whole number for the value of 13 as the prime width.
If W = 17
204 = L × 17
L = 204/17
L = 12
It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.
Answer:17 inches
Step-by-step explanation:
simplify 4/9 to the second power
Answers
Answer:
(2/3)^2
Step-by-step explanation:
A simplification of the expression 4/9 to the second power is [tex](\frac{2}{3} )^2[/tex]
What is an exponent?In Mathematics and Geometry, an exponent is a mathematical operation that is commonly used in conjunction with an expression, so as to raise a given quantity to the power of another.
Mathematically, an exponent can be modeled by this mathematical expression;
[tex]b^n[/tex]
Where:
the variables b and n are numerical values, letters, or an expression.
n is known as a power.
By applying the law of indices for powers (division) to the given equation, we would have the following simplified expression:
[tex]\frac{4}{9} =\frac{2^2}{3^2} \\\\\frac{4}{9} =(\frac{2}{3} )^2[/tex]
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Find the surface area of the following triangular prism. surface area=_________ ft²
Answers
312 ft²
Step-by-step explanation:3 rectangles
2 triangles
4 yd = 12 ft
A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2
= 48ft² + 96ft² + 120ft² + 48ft²
= 312 ft²
Answer:
336
Step-by-step explanation:
Got it right
You are welcome :)
Pleas helppppppppppp
Answers
Answer:
Line AB
Hope this helps!
A collection of points along a straight path that
extends endlessly in both directions is called a
Answers
In geometry, a line is completely straight and stretches in both directions infinitely. In contrast, a line segment is a line that doesn't go on forever but rather has a fixed set length. A line segment has two endpoints. A ray has only one endpoint and the other side extends forever.
Pounds gained by people in your class during the first month of the semester on example of which type of data? 1. Qualitative 2. Quantitative 3. Extreme 4. Statistic
Answers
Answer:
quantitative
Step-by-step explanation:
Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.
Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.
What are the types of statistical data?In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.
They are Numerical data, Ordinal data, and Categorical data.
Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or
Quantitative data.
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There are 5 different pairs of gloves, where left and right are distinguishable. Select 4 of the 10 gloves. (a) How many are there to select 2 pairs of gloves? (b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
Answers
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
For the above questions we apply that combination formula
(a) How many are there to select 2 pairs of gloves?
There are 5 pairs of gloves according to the question above, hence:
5C2 = 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1
= 10 ways.
Therefore, there are 10 ways to select 2 pairs of gloves
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
i) A way to select 4 gloves out of 10 gloves =
10C4 = 10!/4! ×(10 - 4)!
= 10!/ 4! × 6!
= 210 ways
ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:
5 × 2⁴
= 80 ways.
Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways
= 130 ways
Melinda poured herself 20 ounces of orange juice for breakfast. By the end of her meal, she only has 4 ounces left. What scale factor represents the amount of orange juice she has left ?
Answers
Answer:my profile pic is a throwing dart not a ding dong dirty
Step-by-step explanation:
Ben and Sam are diving in a lake at 14 feet below the surface been spot Sam 9 feet directly below him find sams depth
Answers
Answer:
23
Step-by-step explanation:
1
14
+ 9
--------
2 3
hope this helps
The depth of Sam's from the surface is 23 feet.
We are given that Ben and Sam are diving in a lake.
Ben and Sam are 14 feet below the surface.
But after a while, Ben spots Sam 9 feet directly below him.
We have to find sam's depth from the surface.
Let the depth at which both Ben and Sam were diving in the lake be X.
i.e X = 14 feet.
Let the depth of Sam from Ben be Y.
i.e Y = 9 feet.
Now Sam's depth from the surface would be:
= X + Y
= 14 + 9
= 23 feet.
Thus, the depth of Sam's from the surface is 23 feet.
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Answer in simplest form -4/15 + 1/6 =
Answers
Answer:
The answer is -0.1
Step-by-step explanation:
You just need to calculate it in a calculator
Hope it helps :)
Steps :
If the area of the base of a cube is 100m, whats the volume
Answers
Answer:
1000 m³
Step-by-step explanation:
The base of a cube is just a square.
The area of a square is [tex]l^2[/tex], where l is the length.
Since we know the area of the base (the square) we can find l easily.
[tex]l^2 = 100\\\\l = \sqrt{100}\\\\l=10[/tex]
Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.
This means the height of the cube is also 10m.
Since the volume of a cube is represented as [tex]l^3[/tex], where l is the length, we can substitute 10 in as [tex]l[/tex] to find it's total volume.
[tex]10^3 = 1000[/tex]
So the volume of this cube is 1000 m³.
Hope this helped!
What is greater than 1.45? A. 0.009 B. 0.019 C. 0.0032 D. 0.0177
Answers
No option is greater than the value of 1.45.
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.
Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is 1.45. The given options are:-
A. 0.009
B. 0.019
C. 0.0032
D. 0.0177
All the options are less than the value of 1.45. Therefore, No option is greater than the value of 1.45.
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A ray lies on the line MN←→−. It starts at point Q and passes through the points P and R. Which of the following is a correct name for this ray?
Answers
Answer:
please mark my answer brainliest
Step-by-step explanation:
the correct name will be QP...or QR
Mick earns $45,000 a year. This year, he had $2,700 of state taxes returned to him.
What percent of his income did he have returned to him?
Answers
Answer:9
Step-by-step explanation:
George’s parents are going on a cruise and are concerned about paying their bills while they are gone because they will not have the usual means of communication. What is the best payment method for them to use while they are gone?
telephone
online payment
mail
automatic withdrawal
Answers
D. Automatic withdrawal
May I have brainliest please? :)
All of the following should be included in the results section of a t test except:
a. dependent measure.
b. levene confidence intervals.
c. effect size.
d. homogeneity of variance test.
Answers
Answer:
Levene confidence intervals ( b )
Step-by-step explanation:
T- test should include all of the following in the results section except the Levene confidence intervals.The confidence intervals may be constructed for various power values using the binomial distribution.
The dependent measure , the size and the Homogeneity of variance test are all included in the results section of a t-test
10x=15 find value of x
Answers
Answer:
x= 1.5
Step-by-step explanation:
According to the question
10x = 15
x = 15 / 10
x = 1.5
Answer:
x=1.5
Step-by-step explanation:
Isolate x on one side of the equation by dividing both sides by the factor 10:
[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]
How do you solve 6^14/(2^5)(3^7)?
Answers
Answer:
1119744
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
[tex]\frac{6^{14}}{(2^5)(3^7)}[/tex]
Step 2: Evaluate exponents
6¹⁴ = 78365164096
2⁵ = 32
3⁷ = 2187
Step 3: Replace
[tex]\frac{78364164096}{32(2187)}[/tex]
Step 4: Multiply
[tex]\frac{78364164096}{69984}[/tex]
Step 5: Divide
1119744
( -8v + 6v 4 - 8 ) + ( 3v - 7 ) simplified
Answers
Answer:
6v⁴ - 5v - 15
Step-by-step explanation:
Step 1: Write out expression
-8v + 6v⁴ - 8 + 3v - 7
Step 2: Combine like terms (v)
6v⁴ - 5v - 8 - 7
Step 3: Combine like terms (constants)
6v⁴ - 5v - 15
The smallest 4-digit number with different digits is ---------. (Don’t use same digit)
Answers
Answer:
The smallest 4-digit number with different digits is 1023.Pattern y: Starts at 0. Rule: Add 6. The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0,0), (3,6),(6,12), and (9,18). Which ordered pair also belongs to this pattern?
A.(12,24)
B. (15,24)
C.(12,36)
D.(1,6)
Answers
Answer:
A (12, 24)
Step-by-step explanation:
The pattern in the ordered pair is (Add 3, Times itself)
help pls !!!!!!!!!!!!!!
Answers
Answer:
h(1) = 1, h(2) = 3, h(3) = 4
Step-by-step explanation:
Given function h(x)
Need to find :
h(1), h(2), h(4)h(1) falls under the second condition as -2 ≤1<2:
h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:
h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4Suppose that you are a teacher with a total of 100 students 10 among them come from a disadvantaged and their average in year 1 is 80/100. All of the other students are not considered disadvantaged and have an average of 90/100. What is the overall average for your students in year 1?
Answers
Answer:
89/100
Step-by-step explanation:
The average weighted by the number of students is ...
(90(0.90) +10(0.80))/100 = (81 +8)/100 = 89/100
Find all complex solutions of 3x^2+4x+5=0 please guide!
Answers
Answer:
Step-by-step explanation:
Find an equation of the sphere that passes through the point (7, 1, −3) and has center (5, 6, 5).
Answers
Answer:
The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].
Step-by-step explanation:
Any sphere centered at [tex](h,k,s)[/tex] in an Euclidean space with a radius [tex]r[/tex] is represented by the following formula:
[tex](x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}[/tex]
If [tex](x,y,z) = (7,1,-3)[/tex] and [tex](h,k, s) = (5,6,5)[/tex], the radius of the sphere is obtained:
[tex](7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}[/tex]
[tex]r^{2} = 93[/tex]
[tex]r = \sqrt{93}[/tex]
The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is [tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93[/tex].
Volume of a cube is 5832 m². Fince the
cost of painting its total surface area
at the rate of Rs. 3.50 per m².
Answers
a≈18
V Volume
5832=18
Question 3
1 pts
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of
each color does he have?
Answers
Answer:
36 individual white socks
38 individual black socks
Step-by-step explanation:
Pairs of socks = 74
He has 1 more pair of white socks than black socks.
Take the colors of the socks to be white and black
Let
Black pairs of socks = x
White pairs of socks = x + 1
Individual socks of each color
A pair of white socks = 2 Individual white socks
= 2white
A pair of black socks = 2 individual black socks
= 2black
Total pairs of socks = black pairs of socks + white pairs of socks
74 = 2white + 2black
74 = 2(x) + 2(x +1)
74 = 2x + 2x + 2
74 = 4x + 2
Subtract 2 from both sides
74 - 2 = 4x
72 = 4x
Divide both sides by 4
x = 72/4
= 18
x = 18
Pairs of white socks = x = 18
A pair of white socks = 2whites
= 2(18)
= 36 individual white socks
Pairs of black socks = x + 1
= 18 + 1
= 19 pairs
A pair of black socks = 2black
= 2(19)
= 38 individual black socks