answer:
[tex]\sf \dfrac{17}{24}[/tex]
step-by-step explanation:
[tex]\sf \dfrac{3}{8} +\dfrac{1}{3}[/tex]
the largest multiple of 8 and 3 is 24, make the denominator same
[tex]\sf \dfrac{3(3)}{8} +\dfrac{1(8)}{3}[/tex]
expand
[tex]\sf \dfrac{9}{24} +\dfrac{8}{24}[/tex]
simplify, join both fractions
[tex]\sf \dfrac{17}{24}[/tex]
Answer:
[tex]\dfrac{17}{24}[/tex]
Step-by-step explanation:
Convert the fractions so that their denominators are the same, then add:
[tex]\dfrac38+\dfrac13=\dfrac{3 \times 3}{8 \times 3}+\dfrac{1 \times 8}{3\times 8}=\dfrac{9}{24}+\dfrac{8}{24}=\dfrac{17}{24}[/tex]
PLEASE HELP PLEASE!!
A circular garden has a diameter of 4 m. What is the area of the garden? Use 3.14 for TT.
Math homework
Feet=9yards
Answer:
27 feet
Step-by-step explanation:
We know that 3 feet = 1 yard. So, multiply 9 by 3 and you get 27 feet. Hope this helps!
Sam is putting money into a checking account. Let represent the total amount of money in the account (in dollars). Let represent the number of weeks Sam has been adding money. Suppose that and are related by the equation .
Answer:
-2
Step-by-step explanation:
(8) fx=x2-2x-2
8(2)-2(8)-2
16-16-2
-2
what is the square root of √ 3⁶/²⁵
Answer:
5
Step-by-step explanation:
The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.
The square root of a number is a value that, when multiplied by itself, gives the original number.
To find the square root of √ 3⁶/²⁵, we can break it down into simpler steps.
Step 1: Simplify the expression inside the square root. √ 3⁶/²⁵ can be simplified as follows: √(3⁶ / 5²)
Step 2: Simplify the numerator and the denominator separately.
The numerator is 3 raised to the power of 6, which means multiplying 3 by itself six times:
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
The denominator is 5 raised to the power of 2, which means multiplying 5 by itself two times: [tex]5^2[/tex] = 5 × 5 = 25
So, the expression becomes: √(729 / 25)
Step 3: Simplify the expression inside the square root.
√(729 / 25) = √(29.16)
Step 4: Find the square root.
The square root of 29.16 is approximately 5.4. Therefore, the square root of √ 3⁶/²⁵ is approximately 5.4.
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Austin worked for 13 hours each day for 5 days. Then the next day he worked 9 hours. How many hours did Austin work in all?
Answer:
74
Step-by-step explanation:
13x5+9=74
Two more than three times a number is 65. Find the number.
The number is
Find the value of xxx, yyy, and zzz in the parallelogram below.
Answer:
x = 67; y = 121; z = 65
Step-by-step explanation:
x + 1 + 112 = 180
x + 113 = 180
x = 67
y - 9 = 112
y = 121
z + 3 + 112 = 180
z + 115 = 180
z = 65
I need help with this pls
Answer:
Step-by-step explanation:
1) Parallelogram ABCD, E is the midpoint of [tex]\overline{DC}[/tex], F is the midpoint of [tex]\overline{AB}[/tex] (given)
2) [tex]DE=\frac{1}{2}DC, BF=\frac{1}{2}AB[/tex] (When a segment is bisected, each part is half the length of the whole segment)
3) [tex]\overline{DC} \cong \overline{AB}[/tex] (opposite sides of a parallelogram are congruent)
4) [tex]DC=AB[/tex] (congruent segments have equal measure)
5) [tex]DE=BF[/tex] (substitution)
6) [tex]\overline{DE} \cong \overline{BF}[/tex] (segments with equal measure are congruent)
7) [tex]\angle D \cong \angle B[/tex] (opposite angles of a parallelogram are congruent)
8) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)
9) [tex]\triangle ADE \cong \triangle CBF[/tex] (SAS)
10) [tex]\overline{AE} \cong \overline{CF}[/tex] (CPCTC)
graph the linear function w(x) =3/5x+2
Answer:
Use Desmos.com. It is a site that can graph basically anything you want.
Step-by-step explanation:
A snail moved 8mm in one minute. How many centimeters did it move?
m dm cm mm
0 8
8 mm = 0,8 cm
Step-by-step explanation:
48 cm
Solve this equation
(3m⁴)²
Answer:
9m⁸
Step-by-step explanation:
3^2=9
(m⁴)² = m⁸
9*m⁸
PLEASE HELP ASAP :)))))))) Rachelle is watching a bug crawl toward her on a sidewalk. As the bug gets closer to her, she stomps her foot to startle the bug, which becomes stationary for some time and then crawls away from her quickly. The graph shows the bug's distance from Rachelle.
What is the range of the graph?
a. 1 ≤ y ≤ 8
b. 100 ≤ x ≤ 400
c. 100 ≤ y ≤ 400
d. 1 ≤ x ≤ 8
Answer:
C
Step-by-step explanation:
The term range is used when looking for y.
This automatically eliminates the possibility of B and D.
Since y applies only to the vertical aspect of the graph, we can ignore all of the horizontal information (time minutes)
Looking at distance, the bug's lowest point was at 100cm and at its highest point at 400cm
This means the minimum is 100 and maximum is 400
In other words:
100 <= y <= 400
Answer:
C) 100 ≤ y ≤ 400
When we are talking about range, we are talking about y values, so B is disqualified.
When determining range you want the lowest & highest y values.
On this graph the lowest value of y is 100 (seen between 5 and 6 seconds).
The highest value of y is 400 (seen at 8 seconds).
Therefore, 100 ≤ y ≤ 400.
Janice has 15 pets. Each of her pets is either a dog or a bird. If her pets have a total of 38 legs, how
many dogs and how many birds does Janice own?
Hi!
These can be set up as systems of equations.
Let b = the number of birds, and let d = the number of dogs.
b + d = 21
2b + 4d = 76 (this is because birds have 2 legs and dogs have 4 legs.)
You can solve this using either elimination or substitution.
Consider marking brainliest.
0.45 divided by 18 please help it is due today
Answer:
answer is 0.025
Step-by-step explanation:
answer is 0.025
select all of the terms that apply to the shape.
Answer:
pentagon + irregular polygon
Step-by-step explanation:
has 5 sides + a regular pentagon has all angles equal, this doesn't.
what is the sum of 4 and 2 raised to the third power
Answer:
216
Step-by-step explanation:
4+2=6
6^3=216
Choose the amount of money that is equal to 3 quarters.
7 dimes 2 nickels
6 dimes 2 nickels
5 dimes 3 nickels
6 dimes 3 nickels
Answer:
The answer is D.
Step-by-step explanation:
Key:
1 dime = $0.10
1 nickel = $0.05
Solve:
A. 70+10=80
B. 60+10=70
C. 50+15=65
D. 60+15=75, so D is correct.
what is the answer to this system of equations pls also include explanation
-2x+5y = 75
x+5y = 45
Answer:
x=-10
Step-by-step explanation:
I explained the answer to your question in the photo
Solve. . m - 15 - 20 m =
Bryan drives 70 mph down the interstate write an equation to represent the distance y if he drives x hours
70
(
mi
hr
)
=
70
(
mi
hr
)
y
=
70
(
mi
hr
)
x
hr
=
70
(
mi
hr
)
Can anyone help I would really appreciate it I’m failing everything and need a boost
Answer:
2,870 and 30
Step-by-step explanation:
Find the distance between the following pairs of points. Round the answer to two decimal places (-5,0) and (-5,3)
Answer:
3
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
What number is one-fourth of three hundred and sixty?
A.180
B.45
C.60
D.90
E.360
Hey there!
To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.
There's also another way - multiplying fractions.
[tex]\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}[/tex]
In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.
Look what happens when I multiply:
[tex]\bold{\displaystyle\frac{360}{4}}[/tex]
We can use mental maths to solve it.
Hence, the answer's 90.
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
:-)
[tex]\bold{Somebody~Who~Loves~Helping~Others:-)}[/tex]
Pls help: √5 multiplied by √245
I believe it is 35!
I hope this helps you, and don't forget to give this answer brainliest if it really helped!
Answer the following question below
Answer:
11/6
Step-by-step explanation:
2x/3 = 1/2
Cross multiply, get 4x = 3, x = 3/4
3y/4 = 3/2
Cross multiply, get 6y = 12, y = 2
x + y = 3/4 + 2 = 11/4
xy = 3/4 * 2 = 3/2
(x + y)/(xy) = (11/4)/(3/2) = 11/4 * 2/3 = 22/12 = 11/6
Mark is building two separate pig-pens. The width of pig-pen A is w. The length of pig-pen A is 4 feet longer than its width. The width of pig-pen B is 5 feet less than the width of pig-pen A. The length of pig-pen B is 2 times its own width. If the both pig-pens have the same perimeter, then find the dimensions of each pig-pen.
Answer:
The width of pen A is 7 feet,
The Length of Pen A is 11 feet,
The width of Pen B is 6 feet,
The Length of Pen B is 12 feet
Step-by-step explanation:
The width of pen A is 7 feet,
The Length of Pen A is 7 + 4 = 11 feet,
The width of Pen B is 7+4-5 = 6 feet,
The Length of Pen B is 2*(7+4-5) = 12 feet
[tex]w+w+w+w+4+4=(w+4-5)+(w+4-5) +2*(w+4-5)+2*(w+4-5)\\4w+8=6w-6\\14=2w\\w=7\\[/tex]
It is known that 5% of flashlight bulbs manufactured by a certain company are defective. a. Use the normal approximation to estimate the probability that, out of a random sample of 600 lightbulbs, at least 25 are defective. (5 points) b. Use the normal approximation to estimate the probability that, out of a random sample of 600 lightbulbs, fewer than 20 are defective. (5 points)
Using the normal approximation to the binomial, the probabilities are given by:
a) 0.8485 = 84.85%.
b) 0.0244 = 2.44%.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
There are 600 bulbs, hence n = 600.5% are defective, hence p = 0.05.The mean and the standard deviation of the approximation are given, respectively, by:
[tex]\mu = np = 600(0.05) = 30[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{600(0.05)(0.95)} = 5.3385[/tex]
Item a:
Using continuity correction, the probability is P(X > 24.5), which is one subtracted by the p-value of Z when X = 24.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.5 - 30}{5.3385}[/tex]
[tex]Z = -1.03[/tex]
[tex]Z = -1.03[/tex] has a p-value of 0.1515.
1 - 0.1515 = 0.8485.
0.8485 = 84.85% probability.
Item b:
This probability is P(X < 19.5), which is the p-value of Z when X = 19.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19.5 - 30}{5.3385}[/tex]
[tex]Z = -1.97[/tex]
[tex]Z = -1.97[/tex] has a p-value of 0.0244.
The probability is of 0.0244 = 2.44%.
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one shirt and one pair of pants costs $50.00. three shirts and 2 pairs of pants cost $120. how much is a shirt?
one shirt is for $25 so multiple that by 3 and get $75
Solve the system.
y = -6x - 14
2)
5x - 3y = 19
Answer:
x=-1
Step-by-step explanation:
ERROR ANALYSIS
Christopher was asked to solve the question below. Review Christopher’s work. Do you agree or disagree with Christopher’s answer? Explain why you agree or disagree. If you disagree, correct Christopher’s work.
Triangle RTS has a vertices R (10,0) S (3,4) And T(4,2). what is the resulting image of S' after a vertical transition two units down and a horizontal transition four units to the right?
Christopher's work
(x-2,y+4)
S' (3,4)
S' (3-2,4+4)
S' (1,8)
Answer:
I agree with cristafers work
Step-by-step explanation:
The new coordinates of S' will be located at (1, 8) after translating 4 units right and 2 units down.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Given that Δ RTS has a vertices R (10,0) S (3,4) And T(4,2)
The original coordinate of S is (3,4).
To determine the image of S' after a vertical transition two units down and a horizontal transition of four units to the right
The y-coordinate will increase by 4 if we move it to the right.
This will then become 4+4 =8.
If we shift it downward, it will become negative and read as -2.
This will then become 3-2 = 1.
So, the coordinate of S' will be located at (1, 8)
Hence, the new coordinates of S' will be located at (1, 8) after translating 4 units right and 2 units down.
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