Answer:
it between a and c
Step-by-step explanation:
hope it helps
How to model using base 10 blocks to multiply 4x16
Answer:
Step-by-step explanation:
64
We are looking at rectangles where one side is of length 5.0 cm. Amongst those are some that can be cut into a square and a rectangle one of which has an area of 4,0 cm². How many such rectangles are there?
A: 1
B: 2
C: 3
D: 4
E: 5
Spoiler: According to the answer key it is D but I could only find 3 variations.
the answer is D : 4
How to calculate how many of these rectangles are there?According to the problem statement, one side of the rectangle is of length 5 cm. The other side can have any length greater than 4 cm (since the area of the rectangle should be greater than 4 cm^2).
Let's call this other side "x".
We know that the area of a rectangle is given by the formula A = l*w, where l is the length and w is the width.
Therefore, we can write the equation: 5*x = A, where A is the area of the rectangle.
We can also say that the area of the square and the rectangle is equal to 4 cm^2.
If we call the side of the square "y", then we can write the equation: y^2 = 4 cm^2.
Solving for y, we get: y = 2 cm.
Therefore, the length of the rectangle that can be cut into a square and a rectangle of area 4 cm^2 is 5 cm - y = 5 cm - 2 cm = 3 cm.
So, there are 4 possible rectangles that can be cut into a square and a rectangle of area 4 cm^2: (5,3), (3,5), (6,4), and (4,6).
So the answer is D : 4
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what is the reciprocal for 4/9
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
Math homework help exponents
Answer + Step-by-step explanation:
\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)
\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)
_______________________
\((4^8)^3 = a^{8 \times 3}=a^{24}\)
\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)
_______________________
\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)
_______________________
15⁶ × 15³ = 15⁶⁺³ = 15⁹
_______________________
Recall : If a ≠0 ⇒ a⁰ = 1
Then
Since 6⁸ ≠ 0 ⇒ (6⁸)⁰ = 1
A box contains 1 3/4 Pasta how many ounces of pasta are in the box
Answer:
Step-by-step explanation:
is there more information to the question??
Mrs. Brown has 8 more boys than girls in her class and has a total of 26 students. Determine how many girls and boys are in the class. Show your work please.
If an investment company pays 6% compounded semiannually, how much will you have 5 years from now if you deposit $900?
How much would you earn if it were simple interest instead of compound interest?
With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.
To calculate the future value of an investment with compound interest, we can use the following formula:
FV =\(PV * (1 + r/n)^{(n*t)}\)
where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.
In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment is 5 years.
Using these values, we can calculate the future value (FV) as follows:
FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)
= \(\$900 * (1.03)^{10\)
= $1,191.02
Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.
If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:
I = P x r x t
where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.
In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:
I = $900 x 0.06 x 5
= $270
Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:
Total = $900 + $270
= $1,170
Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.
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Drag the prisms to the table in order from least volume to greatest volume.
Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of first prism with sides 2, 1.5 and 3.2
Volume=2×1.5×3.2
=9.6 in³
The volume of second prism with sides 1.5, 1.5 and 6
Volume=1.5×1.5×6
=13.5 in³
The volume of third prism with sides 2, 5/2 and 7/2
Volume=2×2.5×3.5
=17.5 in³
The volume of fourth prism with sides 1/2, 1/2 and 1/2
Volume=0.5×0.5×0.5
=0.125 in³
Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.
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Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
1.25% of what number
Is 24
Answer:
1,920
Step-by-step explanation:
125% × x = 24
x = 19.2
125% divided by 100 = 1.25
19.2 x 100 = 1920
0.3y+ z y 0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5z, equals, 5.
Answer:
5
Step-by-step explanation:
Substitute the given values and do the arithmetic.
\(0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=\boxed{5}\)
If two chords of a circle are congruent then they are equidistance from the
A. secant.
B. center.
c. tangent.
D. edge of the circle.
Answer:
I think
The choose B. center.
I hope I helped you^_^
If Margo walks 1/4 mile in 1/12 of an hour, what is her unit rate
To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.
Distance = 1/4 mile
Time = 1/12 hour
Unit rate = Distance ÷ Time
Unit rate = (1/4 mile) ÷ (1/12 hour)
We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.
Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)
Unit rate = (3/4 mile) ÷ 1 hour
Unit rate = 3/4 mile per hour
Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.
Answer:
3mph
Step-by-step explanation:
1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.
60/12 = 5
12 x 1/4 = 12/4 = 3
Patricia and Greg are both planting rectangular flower gardens. Patricia’s garden measures 7 ft × 12 ft .Greg’s garden measures 8 ft. × 15 ft. Each garden will have a fence put around it. Including tax, the fencing materials cost $1.25 per foot.
Answer:
Patricia = $47.5 ;
Greg = $57.5 ;
$10
Step-by-step explanation:
Perimeter of a rectangle : 2(l + b)
Patricia :
7ft * 12 ft
2(7 + 12) = 2(19) = 38 ft
Total fencing cost :
1.25 * 38 = $47.5 ft
Greg:
8ft by 15ft
2(8 + 15) = 2(23) = 46ft
Total fencing cost :
1.25 * 46 = $57.5
Difference in cost :
57.5 - 47.5 = $10
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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Calvin has been trusted to manage the school candy store, but he is taking advantage of the situation. For every seven pieces of candy that a student buys, Calvin helps himself to three pieces of candy. If Marty buys 42 pieces of candy, how many will Calvin take for himself? Show your work or explain your reasoning.
Answer:
18 piecesStep-by-step explanation:
Calvin takes 3 pieces of candy for each 7 pieces sold.
If 42 pieces sold, Calvin takes x pieces.
Use ratios to find the value of x:
3/7 = x/42x = 3*42/7x = 18What are the domain and range of the function represented by the set of
ordered pairs?
{(-11, 11),(-8, 8), (0, 0), (13, -13)}
Answer
Domain in the correct order: -11, -8, 0, 13
Range in the correct order: -13, 0, 8, 11
Step-by-step explanation:
Convert this following fraction to a decimal.
21/40
Answer:
\(0.525\)
....................
Describe your understanding of finding percents of a whole.
Step-by-step explanation: Write down the whole number amount, for example: 500. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right.
A home-improvement store sold blinds for $35. A customer signed up for a free membership card and received a 7% discount off the price. Sales tax of 7% was applied after the discount. What was the final price of the blinds?
Answer:35
Step-by-step explanation:
35x93/100=32.55
32.55x107/100=35
mathmatically indication example with solution
A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.
How to solve the equation ?Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.
The equation would be 3 x + 2 = 14.
So we can solve for the equation to be :
3x + 2 - 2 = 14 - 2
3x = 12
3 x / 3 = 12 / 3
x = 4
In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.
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Two-fifths of the stage crew are girls. if there are 30 members of the stage crew, how many are girls?
Answer:
12 girls
Step-by-step explanation:
30*(2/5)=12
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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Help me please in need of it
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, \(m=\frac{2-0}{0-1}=-2\).
If a die is rolled one time, find the probability of getting a six.
P(6) = ?
Answer: \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)
Step-by-step explanation:
A regular dice has 6 sides, and only one of those sides side has a six.
We write probability as;
\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)
Hi, there!
_______
\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)
Here,
» Favourable Outcome(s) -> getting a 6 on a die (1 outcome), because only one side of a die has a six on it
» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)
So,
\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)
Hope the answer - and explanation - made sense to you,
happy studying!!
\(\tiny\textit{frozen \ melody}\)
Question 23 options:
The sum of the measures of the exterior angles of a 105-gon is ___ degrees.
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any n-gon is 360°
Shirley Garcia is a restaurant supplies salesperson and receives 8% of her total sales as commission. Her sales totalled $15,000 during a given week. Find her commission.
Answer:
8% of $15,000 = .08 × $15,000 = $1,200
Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag’s mean breaking strength can be shown to be at least 50 pounds. The mean of the sample of 40 trash bag breaking strengths in Table 1.9 is x⎯⎯x¯ = 50.560. If we let µ denote the mean of the breaking strengths of all possible trash bags of the new type and assume that σ equals 1.68:
(a) Calculate 95 percent and 99 percent confidence intervals for µ. (Round your answers to 3 decimal places.)
95 percent confidence intervals for µ is [, ].
99 percent confidence intervals for µ is
The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).
What is confidence interval?
A confidence interval is defined as the estimate's mean plus and minus the estimate's range.
We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.
Using the formula, we get
95% confidence interval
⇒Mean(x) (+/-) 1.96 (1.68/v40)
⇒(50.560 - 0.511 , 50.560 + 0.511)
⇒(50.049, 51.071)
99% confidence interval
⇒Mean(x) (+/-) 2.576 (1.65/v40)
⇒(50.560 - 0.672, 50.560 + 0.672)
⇒(49.888, 51.232)
Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).
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The perimeter of a rectangle is 16 feet. Find its width if its length is 5 feet.
Answer:
3 ft
Step-by-step explanation:
l = 5 ft
p = 16 ft
Using the formula
P=2(l+w)
solving for w
w = p/2 - l = 16/2-5=3ft
20 Points! Please help with math! Question is in screenshot.
Answer:
(a) 1/(3²-3)=1/(9-3)=1/6
(b) 1/(h²+4h+1)
Step-by-step explanation:
(a) 1/(3²-3)=1/(9-3)=1/6
(b) 1/((2+h)²-3)
1/(4+4h+h2-3
1/(h²+4h+1)