Answer:
2.03 liters of 30% antifreeze should be drained and replaced with 100% antifreeze to get the desired strength.
Step-by-step explanation:
Since a car radiator needs a 40% antifreeze solution, and the radiator now holds 14 liters of a 30% solution, to determine how many liters of this should be drained and replaced with 100% antifreeze to get the desired strength the following calculation must be performed:
100 x 0.3 + 0 x 1 = 30
90 x 0.3 + 10 x 1 = 37
85 x 0.3 + 15 x 1 = 40.5
86 x 0.3 + 14 x 1 = 39.8
85.8 x 0.3 + 14.2 x 1 = 39.94
85.7 x 0.3 + 14.3 x 1 = 40.01
85.71 x 0.3 + 14.29 x 1 = 40
100 = 14
14.29 = X
14.29 x 14/100 = X
200.06 / 100 = X
2.03 = X
Therefore, 2.03 liters of 30% antifreeze should be drained and replaced with 100% antifreeze to get the desired strength.
Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. what is the group that is not given any medicine?
A. the control group in an experiment
B. the experimental group in a survey study
C. the experimental group in an experiment
D. the control group in an observational study
Answer:
A. the control group in an experiment
Step-by-step explanation:
Researchers give one group a new cold medicine and compare them with to a group that takes no medicine. The group that is not given any medicine is the control group in an experiment.
Who are researchers?Researchers are those who do research on something i.e. systematics and deep investigation into something.
What is control group?Control Group is that group in research which does not take any medication or untreated group.
During the research while a new type of medicine is to be tested, the group that receives the medication or being tested is called the experimented group and the group that does not receive the treatment is called the control group.
Hence, we can say that the group that is not given any medicine is the control group in an experiment.
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Nigel owed his friend $20. He paid his friend half of the debt, but later he had to borrow an additional $3. Which of these expressions represents Nigel's debt to his friend?
Answer:
Where are the answers
Step-by-step explanation:
solve this quadratic by factoring
5x^2+7x=x^2+2
pls show work and how to do it! thank you!!!!!
Step-by-step explanation:
pls click on the pic for full answers
Let's solve this step-by-step. Here it is.
5x²+7x=x²+2
Step 1: subtract 2 from both the left and right side.
5x²+7x-2=x²+2-2
Simplify.
5x²+7x-2=x²
Step 2: subtract x² from each side.
5x²-x²+7x-2=x²-x²
Simplify.
4x²+7x-2=0
Step 3: solve using the quadratic formula.
[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:4\left(-2\right)}}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-7+9}{2\cdot \:4},\:x_2=\frac{-7-9}{2\cdot \:4}[/tex]
[tex]x=\frac{1}{4},\:x=-2[/tex]
Hope this helps!
Step 2: Factor the left side of the equation.
Please solve this system of equations using the Substitution Method:
y= 2x + 10 and 2x+y= -6
The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8of the items barbecued are veggie burgers, and 1/3
of the items barbecued are corn cobs, what fraction of barbecued items are mushroom caps
Answer:
7/24
Step-by-step explanation:
PLZZZ HURRY!!
What is the series in summation notation?
Answer:
A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .
Step-by-step explanation:
I hope it's help u
Answer:
the answer is B
Step-by-step explanation:
i got your back
WILL GIVE BRAINLIEST PLEASE HELP ASAP
The sum of three consecutive numbers is 72. What is the smallest of these numbers? Set up an equation to solve.
Answer:
Let the three consecutive numbers be x,x+1,x+2 . The numbers are: 23,24,and25 and the smallest one is 23
Step-by-step explanation:
Answer: (x-1) + (x) + (x+1) = 72; smallest number is 23.
Step-by-step explanation:
The numbers are consecutive, meaning they sit next to each other on a number line. For example 4, 5, 6.
Because they are three consecutive numbers, their average will be the value of the middle one. For example the average of 4, 5, 6 is 5.
Knowing this, we can divide 72 by three to get the value of the middle number.
72/3 = 24, so the middle number is 24.
The numbers that fall either side of 24 on the number line are 23 and 25, so the three consecutive numbers are 23, 24, 25.
You can also set up and solve the equation: (x-1) + (x) + (x+1) = 72 because the numbers are consecutive.
To solve, combine like terms. The (-1) and (+1) cancel out and the equation becomes 3x = 72.
72/3 = 24, so x = 24, and the smallest term, (x-1) = 23.
Some help doing a final
Answer:
65 degrees
Step-by-step explanation:
90 + 90 + 115 + x = 360
x= 65
Change.4 to a fraction.
[?]
Answer:
2/5
Step-by-step explanation:
.4 is 40% out of a 100 so it is 2/5
Answer:
4 over 10
Step-by-step explanation:
the .4 is in the 10 place in the destimal sot here forever when u make it a fraction it would be ⁴/10
On the first day of a social media ad campaign, a website had 15 unique visitors. Over the following several days, the website received three times the number of unique visitors as the previous day. The number of visitors, v, can be modeled by v=15⋅3^(d−1), where d is the number of days in the campaign.
On which day of the ad campaign did the website have 10,000 visitors?
A) 4
B) 7
C) 9
D) 6
Answer: 7
Step-by-step explanation:
Find the volume (and show work)
PLEASE PLEASE HELP ME
Answer:
c
Step-by-step explanation:
dfghfghj
Round your answer to the nearest hundredth.
Answer:
take 20 degree as reference angle
let hypotenuse be x
using cos rule
cos 20=adjacent/hypotenuse
0.93=7/x
0.93*x=7
x=7/0.93
x=7.5
Step-by-step explanation:
Need help with school work
A restaurant can hold 300 people is divided into 20 equal parts, How many people can be put in each section
Answer:
15 people
Step-by-step explanation:
ez maths:
300 (total) divided by 20 (parts available) = how many people can sit at said part (15)
Answer:
Each section can hold 15 people.
Step-by-step explanation:
[tex]\frac{1}{y}=\frac{20}{300}[/tex]
y × 20 = 300 × 1
20y = 300
20y ÷ 20 = 300 ÷ 20
y = 15
PLEASE I NEED HELP WITH THIS
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
[tex]m(arc(AD))=105^\circ[/tex]
The central angle of arc BC is 35 degrees. So,
[tex]m(arc(BC))=35^\circ[/tex]
The central angle of arc CD is 50 degrees. So,
[tex]m(arc(CD))=50^\circ[/tex]
The central angle of a complete circle is 360 degrees. So,
[tex]m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ[/tex]
[tex]105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ[/tex]
[tex]190^\circ+m(arc(AB))=360^\circ[/tex]
[tex]m(arc(AB))=360^\circ-190^\circ[/tex]
[tex]m(arc(AB))=170^\circ[/tex]
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
According to a soccer coach, 75% of soccer players have had at least one sprained ankle. An athletic trainer would like to investigate this claim. To do so, the trainer selects a random sample of 125 college soccer players from across the country and finds that 99 of them have had at least one sprained ankle. The trainer would like to know if the data provide convincing evidence that the true proportion of college soccer players who have had at least one sprained ankle is greater than 75%. What are the appropriate hypotheses for this test
The appropriate hypotheses for this test are
p = 0.75 for Null Hypothesis.
p > 0.75 for Alternative Hypothesis.
Given that,
According to a soccer coach, 75% of soccer players have had at least one sprained ankle.
Null Hypothesis (H₀):
The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,
p = 0.75
Alternative Hypothesis (Ha):
The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.
p > 0.75
Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.
The null hypothesis assumes the proportion is equal to 75%.
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The Image below show kite ABCD that lie on E
Answer:
[tex]m(DAB)=228^o[/tex]
[tex]m[/tex]∠[tex]BCD=48^o[/tex]
[tex]m[/tex]∠[tex]ABC=123^o[/tex]
Step-by-step explanation:
[tex]Given:[/tex]
m∠BAD=66°
m BD =2(m∠BAD)
= 2(66)
m BD=132°
m DAB= 360° - 132°
m(DAB) = 228°
-------------------
m∠BCD= 1/2(m DAB -m BD)
= 1/2(228- 132)
m∠BCD= 48°
-------------------
m∠ABC= 360-(66+48)/2
= 360 -114/2 = 246/2
m∠ABC=123°
----------------------------------
hope it helps...
have a great day!!
help pleaseee due tomorrow!?!!
DO NOT PUT A LINK!!!
Answer: D
Step-by-step explanation:
Plug in 0 for each variables in the equation and see which one holds true
Hope this helps
A parallelogram has area of 65 square units and a height of 5. Find its base. II
Answer: 13
Step-by-step explanation:
suma de polinomios de 5׳+3 + 2׳-ײ+1 porfavor ayuda
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3
Let's simplify step-by-step.
5x^3 + 3 + 2x^3 − x^2 + 1
= 5x^3 + 3 + 2x^3 + −x^2 + 1
Combine Like Terms:
= 5x^3 + 3 + 2x^3 + −x^2 + 1
= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )
= 7x^3 + −x^2 + 4
Answer:
= 7x^3 − x^2 + 4
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3<3
A line passes through the point (2, -6) and has an initial value of 6. What is the rate of change for this line?
A punch recipe requires 4 cups of lemonade to make 7 gallons of punch. Using the same recipe, what is the amount of lemonade needed for 1 gallon of punch? Answer please!
Answer:1.75
for each gallon we need to find the rate of each.So 7 gallons takes 4 cups.We will divide the 7 gallons over the 4 cups.
7/4=1.75
1.75 cups of lemonade for each gallon
Find the value of 7w-2 given that - 2w-4=6 .
Simplify your answer as much as possible.
(help me out :|)
Answer:
w= -5
Step-by-step explanation:
-2w - 4 = 6-2w - 4 + 4 = 6 + 4-2w = 10Isolate "w":
[tex]\frac{-2w}{-2} = \frac{10}{-2}[/tex] w = -5If 66% of a number is 72, find 11% of that number
Answer:
12
Step-by-step explanation:
For 66% of a number is 72, The value of 11% of number is,
⇒ 12.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
There are 66% of a number is 72.
Now, We can assume that;
Let a number = x
Then, We can formulate;
⇒ 66% of x = 72
⇒ 66/100 × x = 72
⇒ 66x = 72 x 100
⇒ 66x = 7200
⇒ x = 7200 / 66
⇒ x = 109.1
Thus, We can formulate;
⇒ 11% of 109.1
⇒ 11/100 × 109.1
⇒ 12
Therefore, For 66% of a number is 72, The value of 11% of number is,
⇒ 12.
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i need help pls! i’m kinda
s t u p i d! lol
please help answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! ASAP !!!!!!!
Answer:
16.9°
Step-by-step explanation:
tan x = 1.7/5.6
tan^-1 x = 16.9°
CAN SOMEONE HELP ME PLEASE
Answer:
m1= 82
m2=98
m3=82
Step-by-step explanation:
Angle m4 is supplementary with angle m1 so their values add up to 180
180-98=82
Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.
Angle m3 is opposite of m4 so it is the same value. It is supplementary to m1 and m3, so it must be 98 through that logic as well.
Find the arc length of the semicircle. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal. For the semicircle it says 10
Answer:
L = πr
Step-by-step explanation:
Formula for calculating the length of an arc is expressed as:
L = theta/360 × 2pir
The angle substended by the semi circle is 180°
Substitute the given values
L = 180/360×2πr
L = 1/2 × 2πr
L = πr
Hence the length of the arc of a semi circle in terms of pi is L = πr where:
r is the radius of the semi circle