Answer:
40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.
Step-by-step explanation:
Since a chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture, and the premium antifreeze solution contains 70% pure antifreeze, and the company wants to obtain 140 gallons of a mixture that contains 20% pure antifreeze, to To determine how many gallons of water and how many gallons of the premium antifreeze solution must be mixed, the following calculation must be performed:
50 x 0.7 + 50 x 0 = 35
40 x 0.7 + 60 x 0 = 28
30 x 0.7 + 70 x 0 = 21
29 x 0.7 + 71 x 0 = 20.3
28.57 x 0.7 + 71.43 x 0 = 20
140 x 0.2857 = 40
Therefore, 40 gallons of premium antifreeze and 100 gallons of water should be used to obtain 140 gallons of a mixture that contains 20% pure antifreeze.
Which point would NOT be a solution to the system of linear inequalities shown below?
Answer:
(-1,1) would not be a solution to the system of linear inequalities presented in the problem. Simply substitute the x and y values in the coordinates provided to see if they would work as solutions.
Hope I helped, have a nice day :)
Answer:
(-1,1)
Step-by-step explanation:
If we try to substitute this values in the second inequality we have
1 > 4 (false)
If the following data were transformed, and points with the coordinates
(x, log())) were plotted, what points would be plotted? Round log() to three
decimal places.
х
у
4.
81
5 243
6 729
O A. (81, 1.908), (243, 2.386), (729, 2.863)
O B. (4,1.908), (5,2.386)(6,2.863)
O c. (1.908, 4), (2.386,5), (2.863, 6)
O D. (1.908, 81), (2.386, 243), (2.863, 729)
Answer: B
Step-by-step explanation:
Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
a cylindrical jar of jam has a diameter of 6cm and a height of 8 cm. if the jar is 70% full of jam how many cubic centimeters of jam are in the jar? Please answer correctly
Answer: 158.26cm³
Step-by-step explanation:
First, we.need to calculate the volume of the cylinder and this will be:
Volume = πr²h
Volume = 3.14 × 3² × 8
Volume = 3.14 × 9 × 8
Volume = 226.08cm³
Since the jar is 70% full, the volume will be:
= 70% × 226.08cm³
= 0.7 × 226.08cm³
= 158.26cm³
Note:
Radius = Diameter/2 = 6cm/2 = 3cm
A tepee with a dirt floor in the shape of a right cone has a slant height of 26 feet and a radius of 12.5 feet. Approximately how much canvas would be needed to cover the tepee?
Answer:
help me with this please
PLEASE HELP ME!!!!!!!! ASAP
Fill in the missing data labels on the histogram.
Answer:
0 - 9 = 1
10 - 19 = 2
20 - 29 = 2
30 - 39 = 4
40 - 49 = 6
Have a great day! :)
Evaluate. Write your answer as a fraction in simplest form.
Answer:
6/21
Step-by-step explanation:
2/3 x 2/3 x 2/3
6/21
Which value of x is the solution to the equation 4(-3x+8)= -16?
answer choices:
1. -4
2. -2
3. 2
4. 4
explain
Answer:
x = 4
Step-by-step explanation:
4(-3x + 8) = -16
Divide both sides by 4
-3x + 8 = -4
Subtract 8 from both sides
-3x = -12
Divide both sides by -3
x = 4
How many cubes with side lengths of
1
2
cm
2
1
cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
question:
How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
Step-by-step explanation:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answer:
4%
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where
x is the raw score = 100 feet
μ is the population mean = 86 feet
σ is the population standard deviation = 8 feet
Hence,
x > 100 feet
z = (100 - 86)/8
z = 1.75
Probability value from Z-Table:
P(x<100) = 0.95994
P(x>100) = 1 - P(x<100) = 0.040059
Converting to Percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%
Which number sentence is always true? Select all that apply.
negative + negative = negative
positive - negative = negative
negative + positive = positive
.positive - positive = positive
positive + positive = positive
.negative - positive = negative
Three statements that always hold true are,
negative + negative = negative.
positive + positive = positive.
negative - positive = negative.
What are some concepts related to arithmetic operations of odd and even numbers?Odd + Odd = Even.
Odd + Even = Even + Odd = )dd.
Even + Even = Even.
Odd × Odd = Even.
Even × Even = Even.
Odd × Even = Even × Odd = Odd.
Odd ÷ Odd = Even.
Even ÷ Odd = Even Or Odd.
Odd ÷ Even = Fraction/Decimal.
The true statement about positive and negative numbers are,
negative + negative = negative.
positive + positive = positive.
negative - positive = negative.
learn more about negative and positive numbers here :
https://brainly.com/question/17865861
#SPJ2
Which equation does the graph below represent
Answer:
4) y=-4x
Step-by-step explanation:
The lines goes down 4 units as it moves 1 unit right.
hi! please help i’ll give brainliest
Answers:
deposition of eroded materials
Step-by-step explanation:
A PlayStation 5 originally sells for $499.99. If you can only find them on eBay for $899.99, what is the percent of increase from the original price?
Answer:
There would be an 80% increase from 499.99 to 899.99.
please help,
i accidentally skipped the lesson and i'm not sure what to do.
Answer:
75
Step-by-step explanation:
Find the difference between the measures of the two intercepted arcs and divide by 2:
(180-30)/2 =150/2 = 75
The measure of angle ACE is 44 degrees.
Estimate 12.32+7.636 by first rounding each number to the nearest tenth.
pls help need the right answer thank u
===========================================================
Explanation:
12.32 rounds to 12.3 when rounding to the nearest tenth (aka one decimal place). The digit in the tenths place stays the same because the next digit over is not 5 or larger.
7.636 rounds to 7.6 when following the same rule
Adding those two rounded values gets us 12.3+7.6 = 19.9
A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new map?
(nvm)
Answer:
The answer is "0.975"
Step-by-step explanation:
Please find the complete question in the attched file.
Find the remaining distance inside the original map
[tex]\to \frac{9}{6}=1.5 \ in[/tex]
Dividing the value by 6 because there are 7 rest stop:
[tex]\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles[/tex]
Finding the diatance of the rest stop in the new map
Using proportion:
[tex]\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in[/tex]
Help asap plz and thank you
Answer:
A
Step-by-step explanation:
z, duehdhdhd 2747 36veuend
What is the area of the sector?
Answer:
d
Step-by-step explanation:
100pi
Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot. Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of lettuce starts and ends?
Answer:
(-4,-1) and (-4,7)
Step-by-step explanation:
If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.
taylor's little sister is 3 feet and 4 inches tall. there are 2.54 centimetres in one inch. what is the height of taylor's sister in centimetres
Answer:
101.6 cm
Step-by-step explanation:
3 ft = 36 in
36 in + 4 in = 40 in
40 * 2.56 = 101.6 cm
Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn?
A) 252 strips
B) 216 strips
C) 180 strips
D) 144 strips
Answer:
c
Step-by-step explanation:
Which equations have 8 as a solution?
15-n=7 n + 3 = 12 4n = 32
64 : n = 8
Select all the equations that have 8 as a solution.
A. 15-n=7
B. n + 3 = 12
C. 4n = 32
D. 64:n = 8
Answer:
The equations 15 - n = 7, 4n = 32, and 64 : n = 8 have 8 as a solution.
Step-by-step explanation:
Each equation will have work shown below :
15 - n = 7
For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to subtract and the inverse operation of that is addition. Since the original operation is subtraction, we need to add it by a negative sign to each side. In order to isolate the variables, we have to add -7 to both sides.
15 - n = 7
+ -7 + -7
8 = n
The right side has a sum of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.
4n = 32
For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to multiply and the inverse operation of that is division. In order to isolate the variables, we have to divide 8 to both sides.
4n = 32
/4 /4
n = 8
The left side has a quotient of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.
This is a ratio which is basically just the operation of division. For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to divide and the inverse operation of that is multiplication. Since the original operation is division, we need to multiply it by the reciprocal to each side. In order to isolate the variables, we have to multiply 1/8 to both sides.
64 : n = 8
* 1/8 * 1/8
8 = n
The right side has a product of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.
Ayudenme no le entiendo :(
Help I don't understand :(
Answer:
65 degrees
Step-by-step explanation:
90 - 25 = 65
Answer and Step-by-step explanation:
To find x, we need to subtract all of the other angles from 180.
180 - 25 = 155
155 - 90 (that's the right angle) = The answer is 65.
The other way to find x is be subtracting 25 from 90, since 25 and x, when added together, forms a right angle, which is 90.
#teamtrees #PAW (Plant And Water)
A new car is purchased for $17300. The value of the car depreciates at 9.25%
per year.
IS THIS EXPONENTIAL OR DECAY????? Help
Answer:
Exponential
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!
Find the area of the figure.
Answer:
28.5 units²
Step-by-step explanation:
Shape 1 - ( length * width ) 3*5 = 15
Shape 2 - ( length * width ) 3*3 = 9
Shape 3 - ( height * base / 2 ) 3*1.5 = 4.5
Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?
Answer:
4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense
5)
You are told that the median score on
these four cards is 9.5
Work out what the number is on the
bottom card.
7
15
8
Answer:
11
Step-by-step explanation:
7 8 11 15
median (8+11)/2=19/2=9.5
- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?
Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20