A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains pure antifreeze. The company wants to obtain gallons of a mixture that contains pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
x = 160 gal
y = 80 gal
160 gallons of water and 80 gallons of premium antifreeze solution must be mixed.
A motorboat travels 189 kilometers in hours going upstream and 693 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water: km/h
Rate of the current: km/h
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Rate of the boat in still water:81 km/h
Rate of the current: 18km/h
What is speed?Speed tells us how fast something or someone is travelling. You can find the average speed of an object if you know the distance travelled and the time it took. The formula for speed is speed = distance ÷ time.
Given
b= speed of boat in still water c=speed of current
"boat travels 693 kilometers in 7 hours going downstream" Going downstream, the boat travels b+c km per hour. b+c km/hr = 693 km/7hr = 99 km/hr
b+c=99
"boat travels 189 kilometers in 3 hours going upstream" Going upstream, the boat travels b-c km per hour. b-c km/hr = 189 km/3hr = 63 km/hrb-c=63
Add the equations together to eliminate the c terms: b+c=99 b-c=63 2b = 162, therefore, b= 81
b+c= 99, so c = 99 - b= 18
To know more about speed refer to :
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Ben just walked into Best Buy and saw the TV of his
dreams! It's a 60 inch 4K Smart TV that is on sale for
$550. What a bargain! How much will Ben have to pay in
tax (MA sales tax is 6.25%)?
Be sure to LABEL your answer!
(Note: with sales tax problems, you may need to round
your answer to the nearest penny.)
Answer:
$6.30
Step-by-step explanation:
if a doctor makes 30.00 a day, how much money will he make in a week?
Answer:
$210
Step-by-step explanation:
A week is 7 days, if the doctor makes 30 dollars a day it would be 30x7 which = 210
Select the correct answer from each drop-down menu. A restaurant is analyzing its customer satisfaction level. The manager performs an observational study of customers during the lunch hour on a Monday and draws the conclusion that most of the customers are satisfied with the service they receive. because the sample is v. In this instance, an study was The conclusion drawn from the study is conducted.
Answer:
Not valid
Biased
inappropriate
Step-by-step explanation:
No actual study was done, only observation.
Answer:
not valid biased innapropriate
Step-by-step explanation:
plato users
1) Find the L.C.M. of 24, 60 and 96.
Answer:
480
Step-by-step explanation:
24- 2*2*3*2
60-2*2*3*5
96-2*2*2*2*2*3
so lcm is 2 to the 5th times 15
which is 32*15=480
if my anwser helped please mark as brainliest.
Answer:
ok!
for 24
24= 24 ,48 ,72, 96 ,120 ,144 ,168
60=60 ,
PLEASE HELP! I'M BEING TIMED!
Answer:
$0.75
Step-by-step explanation:
A half dollar equals 0.50, and then add 0.25, you get 0.75. I hope this helps :)
Im having trouble understanding what the (-) after the x applies to. does it make everything in the () negative therefore i will distribute by (6*-x) and (6*-2)?
6-(x+2)≥4-9x
Answer:
[tex]x \ge 0[/tex]
Step-by-step explanation:
Given
[tex]6-(x+2) \ge 4-9x[/tex]
Required
Solve
[tex]6-(x+2) \ge 4-9x[/tex]
When you distribute -(x+2), the expression becomes:
[tex]6-x-2 \ge 4-9x[/tex]
Collect Like Terms
[tex]9x-x \ge 4-6+2[/tex]
[tex]8x \ge 0[/tex]
Divide both sides by 8
[tex]x \ge \frac{0}{8}[/tex]
[tex]x \ge 0[/tex]
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
x = 27 because 180−109−44=27
x = 65 because 109−44=65 and 44 + 65 = 109
x = 71 because 180−109=71
x = 153 because 109 + 44 = 153 and 153−44=109
Answer:
65°
Step-by-step explanation:
x = 180 - 44 - (180-109) = 109 - 44 = 65°
Answer:
ea
Step-by-step explanation:
lol its ea
The profit for a new website can be represented by 5", in thousands of dollars, where x is the time, in
months. Find the time when the company's profit is $15,000,
A) Give an exact solution as a logarithm x = log
B) The approximate solution is x
s (round to the nearest thousandths)
Answer:
About 6 months
Step-by-step explanation:
1. Find X (5x=15000)
2. Log15000/log5=x
3. X=5.9
4. Round to 6
Answer:
A) Give an exact solution as a logarithm x = log 5 15
(Box 1: 5, box 2: 15)
B) The approximate solution is x ≈ 1.683 s
Step-by-step explanation:
got it correct on a test
number 5 is the one i need help with
Answer:
b. 2 outliers, few books
Step-by-step explanation:
Answer:
There are two outliers, indicating very few books were checked out on that day.Step-by-step explanation:
If you look at the data set there is a 9 and a 4! Most of the numbers are in the 90s so they're outliers!
I hope this helps!
Good Luck With Your Work!
- NoahChu~ ✨
Of the 80 shirts sold for the fundraiser
44 were size medium.
What percent were not size medium?
Answer: 45 %
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
Identifying Proportional Relationships
Which graph represents a proportional relationship?
Answer:
There aren't any graphs that you attached so i can't see which one is a proportional graph, but the one that is going up by a constant proportional rate of change would be the proportional graph.
Proportional relationship graphs always start at the point 0 for x and y. The line always crosses through to origin. 0
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Answer:
THERE are no graphs
Step-by-step explanation:
Eli has 3 cups of m&m's. He wants to separate them into 1/4 cups bags to share with his friends how many friends can Eli give a 1/4 bag of m&m's to?
Answer:
the answer would be 12 friends
Step-by-step explanation:
you would take the 3 and multiply it by the denominator which is the 4. so 3 × 4 = 12
Evaluate:
Two to the fifth power.
Answer:32
Step-by-step explanation:
Answer: 32
2x2x2x2x2=32
4. The two legs of a right triangle are equal and the square of its hypotenuse is 50. Find the
length of each leg.
Answer:
[tex]Opposite = Adjacent= 5[/tex]
Step-by-step explanation:
Given
[tex]Hypotenuse^2 = 50[/tex]
[tex]Opposite = Adjacent[/tex]
Required
Find the length of each leg
This is calculated using Pythagoras Theorem
[tex]Opposite^2 + Adjacent^2 = Hypotenuse^2[/tex]
[tex]Opposite^2 + Adjacent^2 = 50[/tex]
Represent the opposite and adjacent with x
[tex]x^2 + x^2= 50[/tex]
[tex]2x^2 = 50[/tex]
Divide both sides by 2
[tex]x^2 = 25[/tex]
Take square roots
[tex]x = 5[/tex]
Hence:
[tex]Opposite = Adjacent= 5[/tex]
Solve : -6n + 5 < 11
Which graph shows the solutions?
-6n + 5 < 11
- 5 - 5 subtract 5 on both sides.
_________
[tex]\frac{-6n}{-6}[/tex] < [tex]\frac{6}{-6}[/tex] divide -6 on both sides, -6 will cancel out on the left side.
[tex]n[/tex] > [tex]-1[/tex]
I believe the answer would be the first choice.
Answer:
The first choice
Step-by-step explanation:
ez
simplify 8.9 - 1.4x + (-6.5x) + 3.4
Answer:
12.3 - 7.9x
Step-by-step explanation:
8.9 - 1.4x + (-6.5) +3.4
12.3 - 1.4x - 6.5=
12.3 - 7.9x
Select all the algebrarice expressions that represent the prase below, 9 more than the product of 5 times the number of tires t
Answer:
5t+9
Step-by-step explanation:
hope it helps you please mark me as the brainliest.
There are a total of 33 patients discharged, 16 are male, what is the percentage of discharged that are male? There are 15 females discharged of 33 discharged patients what is the percentage of females?
Answer:
48.48%
Step-by-step explanation:
divide and make a percentage
Of the eggs produced by salmon,80% hatch, and of those, 25% survive to migrate to the ocean. How many eggs are needed to produce 100 salmon that migrate to the ocean?
Answer:
500 eggs are needed
Step-by-step explanation:
so 1/4 or the 80 percent make it to the ocean so 20 percent of total salmon make it to the ocean.
so total number of eggs x
1/5x=100
x=500
if my answer helps please mark as brainliest.
Answer:
Step-by-step explanation:
25% of (80% of eggs) = 0.25 × 0.80 × eggs = 100
Eggs = 100/(0.25 × 0.80) = 500
500 eggs are needed to produce 100 salmon.
One side of triangle is 7 more than 2 times the shortest side. the third side is 14 feet more than the shortest side. the perimeter is 65. Find all 3 sides.
Answer:
2
Step-by-step explanation:
hg
Two important ingredients for baking bread are yeast and flour. To make a loaf of
bread of at most 40 servings, maintain a yeast to flour ratio of 1:200. If you're making
a loaf of more than 40 servings, use a ratio of 1:180.
If you're making 40 servings of bread and using 0.35 oz of yeast, how many ounces of
flour do you need?
If you're making 90 servings of bread and using 360 oz of flour, how many ounces of
yeast do you need?
Using proportions, it is found that:
70 ounces of flour are needed for 40 servings of bread and using 0.35 oz of yeast.180 ounces of yeast are needed for the 90 servings of bread using 360 oz of flour.What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.
For 40 servings:
1 oz of yeast is equivalent to 200 oz of flour. How many oz of flour are needed for 0.35 oz of yeast?The rule of three is:
1 oz yeast - 200 oz flour
0.35 oz yeast - x oz flour.
Applying cross multiplication:
[tex]x = 200(0.35) = 70[/tex]
70 ounces of flour are needed for 40 servings of bread and using 0.35 oz of yeast.
For 90 servings:
1 oz of yeast is equivalent to 180 oz of flour. How many oz of yeast are needed for 360 oz of flour?The rule of three is:
1 oz yeast - 180 oz flour
x oz yeast - 360 oz flour.
Applying cross multiplication:
[tex]2x = 360[/tex]
[tex]x = \frac{360}{2}[/tex]
[tex]x = 180[/tex]
180 ounces of yeast are needed for the 90 servings of bread using 360 oz of flour.
You can learn more about proportions at https://brainly.com/question/24372153
EQ: How do I solve an inequality with
variables on both sides?
Step-by-step explanation:
The steps to solve inequalities with variables on both sides are:
1. By using basic operations like addition and subtraction, bring all "x" terms to the left side.
2. Bring constants to the right side. If we have any fractions in the given inequality, we have to take L.C.M and simplify.
L.C.M= least common multiple
I hope this helps!
25. What is the value of the expression below? 36 ÷ 5 2 8 + 7 × (3 + 11)
Answer:
The answer is
Step-by-step explanation:
2x-3(2x-3)+2=45 pls solve fully
Answer:x=-17/2
Step-by-step explanation:
Answer:
[tex]x=\frac{-4}{33}[/tex]
Step-by-step explanation:
Let's start with simplifying the equation. To do this, let's simplify the parenthesis. We can use the distributive property to simplify the parenthesis. We now have
[tex]2x-6x+9+3=45[/tex]
Next, we can start adding. We can add 2x and 6x, and 9 and 3.
[tex]-4x+12=45[/tex]
Now that we've simplified the equation, we can start solving the equation. First, let's subtract 12 from each side.
[tex]-4x=33[/tex]
The last thing that we need to do is divide -4 from each side.
[tex]x=\frac{-4}{33}[/tex]
The solid glass award that Jillian was given has a total height of 15 inches as shown.
A rectangular pyramid with a base of 6 inches by 4 inches and a height of 15 inches. A rectangular prism with a length of 6 inches, width of 4 inches, and height of 2 inches.
What is the total volume of glass used to make the award?
A) 120 inches cubed
B) 152 inches cubed
C) 168 inches cubed
D) 204 inches cubed
Answer:
the answer is a
Step-by-step explanation:
Can i please have brainliest. I really need it
Thanks
Answer:
120 ich or A
Step-by-step explanation:
For the function y = -2x + 20, what is the output when the input is 50.
Answer:
y = -2(50) + 20
y = -100 + 20 = -80
Given the expression 2(3x + 1), what would be the resulting equivalent expression after the distributive property is applied?
Answer:
6x + 2
Step-by-step explanation:
2(3x + 1)
Multiply 2 with 3x and 1.
6x + 2
Answer:
6x + 2
Step-by-step explanation:
2 x 3= 6
2 x 1= 2
.
What is cot(A)?
0 37
7
3,2
7
O 37
O 32
7
0 31
Answer:
may I see a photo?
Step-by-step explanation:
Answer:
its A -3 (squareroot of 7)/7
Step-by-step explanation: