Looks like the inequality is
-3n < 7n - 20 < 3n
Add 3n to each side:
0 < 10n - 20 < 6n
Solve the right inequality.
10n - 20 < 6n
Add -10n to both sides:
-20 < -4n
Divides both sides by -4:
5 > n
Now solve the left inequality, and take the intersection of the two solution intervals.
0 < 10n - 20
Add 20 to both sides:
20 < 10n
Divide both sides by 10:
2 < n
So 2 < n < 5. There are only 2 integers in this range (3 and 4), whose sum is 7.
Answer:
7
Step-by-step explanation:
We solve each of the two inequalities separately. To solve the first inequality, -3n<7n-20, we add 3n to both sides:
0<10n-20, then we add 20 to both sides to get
20<10n. Finally, dividing both sides by 10 gives 2<n, so n must be greater than 2.
For the second inequality, 7n-20<3n, we subtract 3n from both sides:
4n-20<0, then add 20 to both sides to get
4n<20. Finally, dividing both sides by 4 gives n<5, so n must be less than 5.
The only integers that are greater than 2 and less than 5 are 3 and 4. So, the sum of all possible integer values of n is 3+4=7.
Find the difference.
60°
30°
40"
50"
40
In Landon's math class, there are 12 boys and 15 girls. Which of the following is the ratio of boys to girls in Landon's math class?
Answer: 9/4
Step-by-step explanation:
12/(12+15) = 12/27 = 9/4
ABCD ~ EFGH
B
G
3
140°
F
4.5
2
у
50°
110°
Z
A
х
D
E
24 H
z = [?]°
Answer:
[tex]z = 110°[/tex]
Final answer
a= 1/2bh
b= 12in
a= 54^2in
Answer:
h=9
Step-by-step explanation:
54=1/2(12)h
54=6h
9=h
Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?
Answer:
332,193 years
Step-by-step explanation:
From the question above, we are to calculate the time in an half life question, hence, the formula is given as
t = In(Nt/No) ÷ -(In2/t½)
Where
t = time is takes for an substance to decay or reduce
Nt = Amount of sample after time = 2g
No = Initial amount of sample = 20g
t½ = Half life = 100,000 years
Hence,
t = In(2/20) ÷ (In 2/ 100,000)
t = 332192.80948874 years
Approximately = 332,193 years
Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?
Scale drawings are used to represent a large drawing using smaller measurements
The equivalent of 5" in the drawing is 30' i.e. 30 feet
The scale is given as:
[tex]\mathbf{\frac 12" = 3'}[/tex]
A single quote means feet, while a double quote means inches
So, the scale can be rewritten as:
[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]
Multiply both sides by 10
[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]
Simplify
[tex]\mathbf{5\ inches = 30\ feet }[/tex]
Rewrite as:
[tex]\mathbf{5" = 30'}[/tex]
Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet
Read more about scale drawings at:
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Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices
$40.00
$62.50
$70.00
$60.00
Answer:
the answer is 60 dollars.
====================================================
Work Shown:
x = original price
20% = 20/100 = 0.20
20% of x = 0.20x = discount
x - 0.20x = 0.80x = final price
0.80x = 50
x = 50/0.80
x = 62.50
The original price of the jeans was $62.50
---------------
Note how,
20% of x = 0.20*x = 0.20*62.50 = 12.50
Tara saves $12.50 (this is the discount).
The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.
Which of the statements below is true for the following set of numbers?
42, 20, 36, 51, 60, 28
The range is 14 and the midrange is 35.
The
range is 60 and the midrange is 39.
The range is 40 and the midrange is 20.
The range and the midrange are equal.
Answer:
The range is 40 and the midrange is 20.
For the given number, the range is 40 and the midrange is 20. Option C is correct.
Given that,
42, 20, 36, 51, 60, 28,
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40
Midrange = 40 / 2 = 20
Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.
learn more about the range here:
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The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': BY C' 7 B 6 2 A 3= + 2 -7-6-5-4-3-2-1 Which of the following completes the rule for this translation, (x, y) = (x - 8, points) ? (4 O y-6 Oy-3 O y + 6 O'y+3
need help asap please
Answer: y+3
Step-by-step explanation: I'm taking the test rn
Answer:
y + 3
Step-by-step explanation:
I took the test and got it right.
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
which one of the following things is NOT an example of velocity?
1. 3 miles per hour towards home
2. driving south at 80 miles per hour
3. riding a bicycle at 10 miles per hour
4. diving downward into a pool at 5 meters per second
Answer:
4
Step-by-step explanation:
dang. Yall need to stop harrassing a girl for what she asks for. If she asks for perfume, she gets perfume. Nothing wrong with that. Comment if you agrreee/
Answer:
._.
Step-by-step explanation:
If she has money, she gets stuff. If she broke, doesn't work/help, and expects another person to buy it for her, she ain't gonna get anything. Either way, she better work for that perfume.
Answer:
h*ll yes theyre still human i dont know why people care about that stuff
Step-by-step explanation:
if they deserve it then who cares
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
Edward deposited $6,500 into a savings account 4 years ago. The simple interest rate is 5%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$• • years
Edward earned $ in interest.
Answer:
Edward earned $1300 interest in 4 years.
Step-by-step explanation:
Principal Amount = Initial Investment = $6500
Time t = 4 years
Interest rate r = 5% = 0.05 (it is taken in decimal i.e 5/100 = 0.05)
We need to find interest.
The formula used is: [tex]Interest= Principal\times r \times t[/tex]
Putting values and finding Interest
[tex]Interest= Principal\times r \times t\\Interest=6500\times 0.05 \times 4\\Interest= 1300[/tex]
So, the interest = $1300 in 4 years.
Edward earned $1300 interest in 4 years.
1. Typing Which of these statements best interprets this
equation?
A) Typists increase their speed by 10.5 wpm for every
5.4 hours of training.
B) Typists increase their speed by 5.4 wpm for
every
10.6 hours of training.
C) A typist who trains for an additional hour will benefit
with a speed increase of 5.4 wpm.
D) On average, typists tend to increase their speed by
roughly 5.4 wpm for every hour of training.
Answer:
c
Step-by-step explanation:
also can i pls get brainlist pls pls
Simplify the following square root:
240
O 1615
O The square root cannot be simplified.
0 4/15
please help i’ll give brainliest
Answer: it's a (1,2)
Step-by-step explanation:
The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )
Answer:
The slope is 7/5
Step-by-step explanation:
Here, we want to find the slope of the line
We use the slope equation
m = (y2-y1)/(x2-x1)
m = (35-70)/(25-50) = -35/-25 = 7/5
what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5
Or simply put
To form a purple color, add 7 part red to 5 parts blue drops
Write the ratio as a fraction in simplest form.
14 feet to 8 yards
Answer:
1 inch-8 lot of math make me brainliest
Step-by-step explanation:
3ft-8yd
or 36 in- 288in
18-144
9-72
3-24
whats -33 + -20 , show how you can describe it.”
Step-by-step explanation:
-33 + -20 is -53. and I don't how
You have $50 in your wallet at the mall and buy a new pair of jeans and now you only have $16 in your wallet how much did the jeans cost
In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.
Answer:
D= 3N-5
0.10D+0.05N=5.80
Step-by-step explanation:
So, Let D represents the number of dimes
N represents the number of nickels.
For the given statement "The number of dimes is 5 less than 3 times the N"
So, we could set up equation as
D=3N-5
Now, for the statement "The value of collection is $5.80"
So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)
0.10D+0.05N=5.80
Assuming no denominator equals zero, which expression is equivalent to the given expression?
r-5/9r/5-r/3r^2
A.
-3/r
B.
r/3
C.
-r/3
D.
r-5/5-3r
Answer: C. -r/3
Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.
Solve (v +3) - 44 = 0, where v is a real number.
Answer: V = 41
Explanation in the photo below
Use inductive reasoning to find the next two terms in the sequence:
400, 200, 100, 50, ______, ______
5x-7=3 whats the answer
Answer:
x=2
Step-by-step explanation:
5x-7=3
Add 7 to each side
5x - 7+7 = 3+7
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-7=3
Move the 7 from the left side. So you'll add it to both sides
5x-7(+7)=3(+7)
Making your formula
5x=10
Then divide 5x on both sides
Since 5x divided by itself is one it's just x
10 divided by 5 is 2
So the answer is x = 2
HURRY WILL MARK YOU BRAINLIEST RIGHT ANSWER ONLY
Answer:
Answer is 10
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
you have to use a^2 + b^2 = c^2
so 12^2 + 16^2 = 144 + 256 = 400
square root of 400 is 20
PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).
What is the output of the function when the input is −3?
Writing Linear Equations from Key Information slope = 3, y-intercept = −1
Answer:
y = 3x - 1
Step-by-step explanation: