Answer:
The GCF for the variable part is ab².
GCFVariable=ab²
Multiply the GCF of the numerical part 5 and the GCF of the variable part ab².
5ab²
Step-by-step explanation:
The doctor has written an order for 350 mg of a particular drug. It is only available in a
liquid form. If each mL of the liquid contains 25 mg of the drug, how much of the liquid
will need to be given? Use dimensional analysis to set up the problem.
Answer:
14 mL
Step-by-step explanation:
because 1 ml = 25 mg we just need to divide 350 mg by 25 mg to know how many mL are equivalent to 350 mg.
350/25 = 14
therefore 14mL is equivalent to the 350 mg of the drug.
Hence, the liquid will need to be given is [tex]14ml[/tex] which is equivalent to the [tex]350[/tex] mg of the drug.
What is an equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here,
[tex]1ml=25mg[/tex], here we need to divide [tex]350mg[/tex] by [tex]25 mg[/tex] to know how many [tex]ml[/tex]are equivalent to [tex]350 mg.[/tex]
i.e., [tex]\frac{350}{25}=14[/tex]
Therefore, 14mL is equivalent to the [tex]350[/tex] mg of the drug.
Hence, the liquid will need to be given is [tex]14ml[/tex] which is equivalent to the [tex]350[/tex] mg of the drug.
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GIVING BRAINIEST IF CORRECT!!!!!
Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards
Help please need answer ASAP
Answer:
60
Step-by-step explanation:
45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.
Hope this helps :D
1. last question. please help me out thank you. ill mark you brainlist
Answer:
-7
Step-by-step explanation:
Answer:
x = -7
Step-by-step explanation:
3x + 6 = x - 8
-x -x
(subtract x from both sides)
2x + 6= −8
-6 -6
(subtract 6 from both sides)
2x = -14
/2 /2
(divide 2 by both sides)
x = -7
hope this helped!
Rocco has 48.7 cups of flour in his storage unit. He needs 2/18 that amount to use for his homemade volcano. What is the total number of cups needed for his experiment?
Step-by-step explanation:
There are 48.7 cups in total
2/18 of 48.7 cups is needed for volcano
Total amount needed for experiments are :
2/18 of 48.7 = 97.4/18 = 5.411 cups
If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411
What is fraction ?fraction is a mathematical expression representing the division of one whole number by another
Here given that Rocco has 48.7 cups of flour in his storage unit. He needs 2/18 that amount to use for his homemade volcano.
Hence total number of cups needed for his experiment can be written as :
[tex]\frac{2}{18}\times \text{Total cups}[/tex]
[tex]\frac{2}{18}\times 48.7\\\\\\\frac{2}{180}\times 487\\\\\\\\\frac{974}{180}\\\\ = 5.411[/tex]
If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411
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PLEASE HELP I DONT UNDERSTAND AND NOBODY WILL HELP ME
The following cone has a height of 4 inches and a volume of 12π. What is the radius of the cone? Enter your answer as the correct value, rounded to the nearest tenth, if necessary, like this: 42.5
show work
Answer:
radius=3
Step-by-step explanation:
volumes of a cone = 1/3πr²h
12π = 1/3× π × r² × 4
37.7 = 12.6r²/3
cross multiply
37.7×3=12.6r²
113.1=12.6r²
make r² subject of the formula
r²=113.1÷12.6
r²=8.976
r=√8.976
r=2.996
r=3.0 (to the nearest tenth)
Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.
Answer:
coupon A
Step-by-step explanation:
coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15
Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)
The correct range is (80, 112).
The correct option is (D).
What is mean?Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.
As per the given data:
We are given the mean of the sample.
The mean of the sample = 96
In each option, a range is given.
We have to find out which is the correct range for the given mean.
For a range (a, b) the mean is given by:
mean = (a + b)/2
By using the above definition and checking all the options:
For (76, 108)
mean = (76 + 108)/2 = 92, Not the correct range
For (82, 114)
mean = (82 + 114)/2 = 98, Not the correct range
For (78, 110)
mean = (78 + 110)/2 = 94, Not the correct range
For (80, 112)
mean = (80 + 112)/2 = 96, The correct range
The correct range is (80, 112).
Hence, the correct range is (80, 112).
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Use the least common denominator to enter an equivalent fraction for each fraction
8/9, 1/21
the least common denominator of the fraction is ___
8/9=
1/21=
Answer:
63
Step-by-step explanation:
LCD = 63
Equivalent Fractions with the LCD
8/9 = 56/63
1/21 = 3/63
Helppp u will get point ASAP
Answer: 10 degrees
Step-by-step explanation:
Since it is a right triangle the angle is 90 degrees.
So, 90 degrees -50 degrees is equal to 40 degrees.
40 divided by 4 is 10.
So your answer is 10 degrees.
solve for x. Leave your answer in the simplest radical form.
Answer:
x = 2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2
use Pythagorean Theorem to find 'x':
2² + 4² = x²
4 + 16 = x²
x² = 20
x = [tex]\sqrt{20}[/tex]
x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex]
The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?
Answer: The answer is 0.495
Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
Alex skipped a jump rope 50 times every minute as shown by this table. x equals the number of minutes, and y equals the
number of times she skipped the rope.
What is the algebraic expression to express the function of the total number of times Alex skipped rope?
The algebraic expression to express the function of the total number of times Alex skipped rope will be y = 50x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Alex skipped a jump rope 50 times every minute as shown by this table. x equals the number of minutes, and y equals the number of times she skipped the rope.
Then the algebraic expression to express the function of the total number of times Alex skipped rope will be
y = 50x
where y be the number of skipped rope and x be the number of minutes.
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Answer:
y=50x
Step-by-step explanation:
find the volume of the prism in cumbic centimeters
Answer:
351cm³
step by step explanation:
Volume of the prism:
=[1/2×(a+b)×h]×l
=[1/2×(5+8)×6]×9
=(1/2×13×6)×9
=(6.5×6)×9
=39×9
=351cm³
A bathtub is in the shape of a rectangular prism. The volume of the bathtub is 72 cubic feet.
The area of the base of the bathtub is 24 square feet.
What is the height of the bathtub in feed?
6 ft
9 ft
4 ft
3 ft
Answer:
3 ft
Step-by-step explanation:
volume of prism = area of base × height
or, 72 = 24 × height
or, 72 ÷ 24 = height
height = 3ft
Answer:
3ft
Step-by-step explanation:
Which of the following best describes the relationship between the amount of time spent snoozing and the amount of time slept?
A.
negative association
B.
positive and negative association
C.
positive association
D.
no association
Answer:
negative association
Step-by-step explanation:
it declines in general
Solve the triangle: α = 65°, β = 100°, γ = 15°
Answer:
a scalene triangle?
Step-by-step explanation:
what is the correct solution? from the graph ( x , y )
find the area plz
WILL GIVE BRAINLIEST
Answer:
80
Step-by-step explanation:
Subject is Trigonometry. Solve for X.
Answer:
16.3°
Step-by-step explanation:
Cos x = adjacent side/hypotenuse
= 24/25
x = arccos (24/25) = 16.3°
You must memorize the definitions of the trig functions and then this type of problem is easy. OK?
Does the line passing through the points (-1, - 5) and (2, 1) intersect the line
passing through the points (- 1,-6) and (1, 2)?
A. No, because the slopes of the lines are the same, but the y-intercepts
are different.
B. Yes, because the slopes of the lines are the same, but the y-intercepts
are different.
C.
No, because the slopes of the lines are different.
D. Yes, because the slopes of the lines are different.
Answer: D
Step-by-step explanation: one is negative and the other one is positive
In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
Show steps pls
Answer:
n = 24
p(a) = 10/24
p(b) = 15/24
[ p(a) + p(b) - [p(a) ×p(b)] ] -1 = answer
[ 35/24 - 6/24 ] -1 = 39/24 - 24/24 = 5/24
=================================================
Explanation:
There are 24 people total and 18 of them study at least one subject. So that must mean 24 - 18 = 6 people do not study any of the subjects mentioned.
The values of 10 and 15 aren't used at all.
HELP!!!
Which of the following represents the asymptote of the graph
MEAN #NIGHTMAREEEEEEEEEEEEEEEEEEE 50 POINTS FOR REAL
The following steps will show you how to calculate the sample mean of a data set:
Add up the sample items.
Divide sum by the number of samples.
The result is the mean.
Use the mean to find the variance.
Use the variance to find the standard deviation.
Answer:
The following steps will show you how to calculate the sample mean of a data set:
Add up the sample items.
Divide sum by the number of samples.
The result is the mean.
Use the mean to find the variance.
Use the variance to find the standard deviation.
Step-by-step explanation:
The guy up there did good. I used 100pts to ask a question not 50
An equation is shown.
x^3 = 125
What are all the possible values of x?
A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25
Answer:
the answer is C
Step-by-step explanation:
the answer is C
HELP PLEASE!! I DONT KNOW IF I GOT IT RIGHT
Sin E= 0. 198.
E= 11.42°
Step-by-step explanation:
using Pythagoras theorem.
Hyp²= base² + height ².
101²= 99²+x²
x²= 101²-99²
x²=10201-9801.
x²=400
x=√400
x=20
sin E = opposite
________
adjacent.
sin E= 20
__
101.
sin E=0.198.
E= sin^-1(0.198)
E= 11.42°
Write the decimal -0.43-- as a fraction in simplest form
Answer:
Step-by-step explanation:.12=12/100...3/25
1.4=14/10...7/5
0.57=57/100...
In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.
Answer:
The original price was $7.21
Step-by-step explanation:
8.46-1.25= 7.21
5. When using substitution in the system of equations, what is the resulting equation?
y=-3x + 5
5x – 4y=-3
a. 5x – 4(-3x+5)=3
b. 5(-3x+5) – 4y =-3
c. y=-3(5x – 4y) + 5
d. – 3x + 5 = 5x – 4y =- 3
Answer:
The answer is "a" 5x-4(-3x+5)=-3