Answer:
1 13/50
Step-by-step explanation:
4 1/5 * 3/10
Change the mixed number to an improper fraction
4 1/5 = (5*4+1)/5 = 21/5
21/5 *3/10
63/50
Changing back to a mixed number
1 13/50
Answer:
1 13/50
Step-by-step explanation:
4⅕ × 3/10
21/5 × 3/10
63/50
1 13/50
Correct answers only!
To the nearest cent, how much will she have in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $6.62
Step-by-step explanation:
This problem is very similar to the one I answered previously. We are given our p, r, and t.
p=6 ($6)
r=0.05 (5%)
t=2 (years)
With the given information, we can plug this into the equation:
B=p(1+r)^t
B=6(1+0.05)^2
B=6.615
Our final amount is $6.62.
Let me know if there are any problems.
Find the center and radius when x^2+y^2+4x-4y=17
Answer:
the center is (-2,2) and the radius is 5
Answer:
Center: (-2,2)
Radius:5
Step-by-step explanation:
The first step in this problem is to complete the square and to find the equation of this circle in standard form.
[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:
[tex]x^2+4x+y^2-4y=17[/tex]
Now, you can begin to complete the square with both the x and the y:
[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]
Adding 8 to both sides and finishing the squares:
[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]
The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!
PLZ HELP ASAP IM TIMED THX
Find surface area
The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 less than the mean. What is the third number?
Answer:
The third number (c) is 54.
The other ones are 70 and 56.
Step-by-step explanation:
We have 3 numbers, let's call them a, b and c.
We know that the sum of the three numbers is 180, thus:
[tex]a+b+c=180[/tex]
We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:
[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]
Finally the second number is 4 less than the mean:
[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]
Now we have our set of equations and we can proceed to solve them:
[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]
Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:
[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]
Now taking this last result into our first equation we have:
[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]
Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]
[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]
But we know that a =70, so we can substitute it in our last line:
[tex]124=a+c\\124=70+c\\54=c[/tex]
Now we just need to find b and we can use our first original equation to do this:
[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]
An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the number of cotton balls there teacher buys
Answer:
612
Step-by-step explanation:
9 x 68 = 612
True or False: "What is the height of the tallest person in my class" is a statistical question
Answer:
it is true
Step-by-step explanation:
because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.
hope this help :-)
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
Answer:
Can’t really understand your question!!
Four families are travelling. Order their speeds from least to greatest.
Sapons
80 km in 2 h
Silvers
180 km in 3 h
Johns
50 km in 1 h
Cunninghams
35 km in 30 min
(please help)
Step-by-step explanation:
We're going to convert all of these to km/h.
Sapons: 80km/2h => 40kmh
Silvers: 180km/3h => 60kmh
Johns: 50kmh
Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh
Now that they're all in the same form we can put them from least to greatest.
Answer:
(Least) - Sapons
- Johns
-Silvers
(Greatest) - Cunninghams
A cookie fatory puts 1/4 of a barrel of flour into each batch of cookies.how much flour will the factory use for 5/6 batches
Answer:
3 1/3 batches
Step-by-step explanation:
you can divide 1/4 and 5/6 to find how many in each batch.
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Step-by-step explanation:
A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore
Opposite side = 2/2 = 1 yrd
Slant height, L = hypotenuse
Adjacent side = 2 yrd
Hypotenuse² = opposite side² + adjacent side²
L² = 1² + 2² = 5
L = √5 = 2.24 yrds
Slant height = 2.24 yrds
B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24
Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²
Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²
surface area of composite figure = 20 + 8.96 = 28.96 yrds²
C) volume = 1/3 × base area × height
Volume = 1/3 × 2² × 2 = 2.67 yrds³
Need help ASAP. WILL MARK BRAINLIEST
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.
Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?
Answer:
- 4
Step-by-step explanation:
The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to
= -6 - 6 + 10 + 2 -4
= -4
Anthony earned a total of - 4 from the 5 throws.
solve for c. 4(3+c)+c=c+14
Answer:
c = 1/2
Step-by-step explanation:
Solve for c:
c + 4 (c + 3) = c + 14
4 (c + 3) = 4 c + 12:
4 c + 12 + c = c + 14
Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:
(c + 4 c) + 12 = c + 14
c + 4 c = 5 c:
5 c + 12 = c + 14
Subtract c from both sides:
(5 c - c) + 12 = (c - c) + 14
5 c - c = 4 c:
4 c + 12 = (c - c) + 14
c - c = 0:
4 c + 12 = 14
Subtract 12 from both sides:
4 c + (12 - 12) = 14 - 12
12 - 12 = 0:
4 c = 14 - 12
14 - 12 = 2:
4 c = 2
Divide both sides of 4 c = 2 by 4:
(4 c)/4 = 2/4
4/4 = 1:
c = 2/4
The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:
Answer: c = 1/2
Write a quadratic equation to represent a function with a vertex of (-3, 2) that passes
through the point (-1,22). Put your equation in vertex form.
Answer:
use phototmath
Step-by-step explanation:
there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/
Answer:
There are 3 roses in the garden.
Step-by-step explanation:
If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.
How much money was raised with the 100 tickets solved?
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
Sorry if it's too late, I hope it helps. :)
Please help. I’ve been here for hours and no one wants to help. I’ll give brainliest answer :(
1. D
2. J
3. L
4. A
5. B
6. K
7. C
8. I
9. F
10. G
Radius = Center to Perimeter of Circle
Minor Arc = Arc that goes around less than 1/2 of circle
Major Arc = Arc that goes around more than 1/2 of circle
Chord = The straight line segment between 2 points on a circle
Secant = A line that passes through 2 points on a circle
Semicircle = 1/2 Circle
Tangent = Line that touches 1 point on a circle's perimeter
Central Angle = Angle with a vertex at the center of a circle
Inscribed Angle = Angle whose 3 points (vertex & 2 other points) are on the outside of the circle
Right Angle = Angle with 90 degree measure
Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?
Answer:
[tex]y = 40\cdot k[/tex]
Step-by-step explanation:
Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:
[tex]y \propto x[/tex]
[tex]y = k \cdot x[/tex]
Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:
[tex]y = 40\cdot k[/tex]
Answer:
The first answer is ''y=45 x''
1800 people for the second one
30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
As described, the classification of random variables should be:
Number of math courses, discrete; weight of backpack, continuous.
Hope this helps!
:)
Answer:
Number of math courses, discrete; weight of backpack, continuous
Step-by-step explanation:
Hope this helped! stay safe! ;D
Does anyone know what 6.04 x 10^-3
Answer:
.00604
Step-by-step explanation:
when multiplying by a negative exponent move the decimal to the left
10^-3 move the decimal 3 spaces to left
.00604
help please!! 10 points <3
Answer:
x = 5
Step-by-step explanation:
15 / 3 =5
PLEASE HELP!!!!!The table below shows the data for a random sample of fish that were collected from and later released into a lake:
Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87
How many bluegills are estimated to be present if a sample of 800 fish is collected from the lake? (5 points)
148
174
244
348
Answer:B
Step-by-step explanation:
All you have to do is multiply
Solve for the value of p.
2 x p = 34
Answer:
p = 34/2
p= 17
thank you.
Question 5- Please help. Using a piece of pizza explain what arc length and area of the sector mean in two to three sentences.
Answer:
You'd have to look at the size of the pizza and then measure the size of the arc for each slice. The slice of pizza is how many topping is on it. The sector is how much pizza you are consuming from the center to the crust. The arc is the crust around the pizza.
In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.
Answer:
HAT AM
HAM
MAT
AT
Step-by-step explanation:
(if you can repeat the letters)
THAT
hopefully this helps and i didnt miss any words
Freemont Run Club surveyed a random sample of 30 members about their running habit. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.
What is the most reasonable estimate for the number of Freemont Members who run more than 5 days a week
Answer:
i think its 420
Step-by-step explanation:
Select all the expressions which are equivalent to
-4/3p - 2/5
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are B and D.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that are equivalent to -4/3p - 2/5 are:
-2/5 -4/3p-4/3p + (-2/5)Hence, the correct options are B and D.
Learn more about Expression:
https://brainly.com/question/13947055
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The following equation is true for all real values of n for which the expression on the left is defined, and B is a polynomial expression.
Answer:
6n^3
Step-by-step explanation:
3/3 *9^10/453*7+sqrt175
The polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
What is Polynomial expression?Given:
[tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]
To find:
the value of B is a polynomial expression.
Step 1
Let, [tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]
[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$[/tex]
Simplifying the above equation as
[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$[/tex]
then, we get
[tex]$\frac{B}{6 n^{3}}=1$$[/tex]
Step 2
Multiply both sides by [tex]$6 n^{3}$[/tex], then we get
[tex]$\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$[/tex] where, [tex]\quad n \neq 0[/tex]
Simplifying the equation as
[tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex]
The value of [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
Therefore, the polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
To learn more about polynomial expression
https://brainly.com/question/12978781
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I have Atlanta... please and thank you :)
Answer:
?
Step-by-step explanation:
Answer:
Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.
Hope this Helps :)
cards in a pack are black or red in the ratio black : red=2 : 5
What fraction of the cards are red?
Answer:
5/7
Step-by-step explanation:
There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.
Feel free to correct me if I'm wrong