Answer:
333,333$
Step-by-step explanation:
15% goes into 100% 6-2/3 times
50,000 x 6-2/3 = 333,333
To find the cost of the house, we can start by setting up an equation. Let \( D \) be the deposit and \( C \) be the cost of the house. We know that the deposit represents 15% of the total cost of the house. Therefore, we can write this relationship as:
\[ D = \frac{15}{100} \times C \]
Given that the deposit \( D \) is $50,000, the equation becomes:
\[ 50,000 = \frac{15}{100} \times C \]
To solve for \( C \), the cost of the house, we will isolate \( C \) on one side of the equation. We can do this by dividing both sides of the equation by 0.15 (which is the decimal representation of 15%):
\[ C = \frac{50,000}{0.15} \]
Now let's calculate this:
\[ C = \frac{50,000}{0.15} = 333,333.\overline{3} \]
The result is approximately $333,333.33. Since we are asked to round to the nearest dollar, we look at the hundredth's place, which is a 3, and since it is less than 5, we round down the dollar amount.
So, the cost of the house rounded to the nearest dollar is $333,333.
Find volume of cylinder
Show work
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r ^ 2 * h[/tex]
Where:
A: It is the radius of the cylinder
h: It's the height
We have according to the data that:
[tex]r = \frac {34} {2} = 17 \ m\\h = 27 \ m[/tex]
Substituting in the equation we have:
[tex]V = \pi * (17) ^ 2 * 27\\V = \pi * 289 * 27\\V = 24501.42\ m^3[/tex]
ANswer:
[tex]V = 24501.42\ m^3[/tex]
29. Find the circumference.
a. 3.14
b. 69.08
c. 121
36
Answer:
b. 69.08Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 11. Substitute:
[tex]C=2\pi(11)=22\pi[/tex]
[tex]\pi\approx3.14\to C\approx(22)(3.14)=69.08[/tex]
The answer is B.
Hope this helps :)
The following examples illustrate the associative property of multiplication.
(5 · 3) · 6 = 5 · (3 · 6)
2 · (1.1 · 0.1) = (2 · 1.1) · 0.1
Study the examples, then choose the statement that best describes the property.
a · (b · c) = (a · b) · c
a · b · c = c · a · b
b · c · a = (b · c · a)
(a · b) · c = a · b
Answer:
The first example: a · (b · c) = (a · b) · c
Step-by-step explanation:
The associative property regroups values by changing the location of parentheses. If you notice, the order of the values is not changed. Both sides have a x b x c, only the parentheses have been moved. Moving the parentheses changes the progression of what is multiplied (whatever is in the parentheses is multiplied together first) but doesn't change the final answer.
The statement a. (b . c) = ( a . b ) . c describes the correct property.
What is associative property ?Associative property for multiplication states that rearranging the terms and brackets places in a multiplication of two or more than two terms does not change the result of the multiplication.
There are more properties multiplication is commutative also for example a×b = b×a
a . ( b . c ) = ( a . b) . c is the right answer here brackets have been changed according to the statement.
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PLEASE HELP!!! ASAP
An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situation using money as the context. Then, evaluate the expression and interpret the result in terms of the situation. Here's an example.
The following situation is modeled by the expression -24.50 + 100.00: Jonathan overdrew his checking account by $24.50. He then transferred $100.00 from his savings account to his checking account. His new checking account total is $75.50.
Make sure to use complete sentences in your answers.
1. $8.15 + $11.99
2. $20 - $18.04
3. 7($1.45)
4. $42.08/4
a small refrigerator is a cube with a side length of 16in use the formula s equals 6s to the second power to find the surface area of the cube
Answer:
1536 in²
Step-by-step explanation:
S = 6s²
We are told that s = 16 inches, so plugging in:
S = 6 (16)²
S = 1536 in²
Solve for X
A: 12.5
B: 5
C: 6[tex]\sqrt{3}[/tex]
D:12
Answer:
D. 12Step-by-step explanation:
(LOOK AT THE PICTURE)
ΔADC and ΔCDB are similar (AAA). Therefore the corresponding sides are in proportion:
[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]
We have
[tex]AD=16,\ CD=x,\ DB=9[/tex]
Substitute:
[tex]\dfrac{16}{x}=\dfrac{x}{9}[/tex] cross multiply
[tex]x^2=(9)(16)\to x=\sqrt{(9)(16)}\\\\x=(\sqrt9)(\sqrt{16})\\\\x=(3)(4)\\\\x=12[/tex]
bear in mind that, a perpendicular line stemming from the right-angle like so, creates three similar triangles, a large one, containing the other two smaller ones, a medium and a small.
so.. .we can just use the medium and small proportions.
Check the picture below.
The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. Find the two numbers.
PLZZZZZ I NEED LE HELP FROM LE FELLOW STUDENTS!!!
Answer:
44 and 46
Step-by-step explanation:
Let
x,x+2-----> the two consecutive positive even integers
we know that
[tex](x+x+2)^{2}=x^{2}+(x+2)^{2} +4,048[/tex]
Solve for x
[tex](x+x+2)^{2}=x^{2}+(x+2)^{2} +4,048\\ \\4x^{2} +8x+4=x^{2}+x^{2} +4x+4+4,048\\ \\2x^{2} +4x-4,048=0[/tex]
Solve the quadratic equation by graphing
The solution is x=44
see the attached figure
therefore
the numbers are
x=44
x+2=46
Find the measure of the third angle of a triangle given the measure of two angles: x and 50
Answer:
is it a right triangle or no ?
Step-by-step explanation:
Find the area of the circle with the given radius or diameter. Use pi = 3.14.
r = 4
A =
50.24 sq. units
100.48 sq. units
25.12 sq. units
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=4 \end{cases}\implies A=\pi 4^2\implies A=16\pi \implies \stackrel{\pi =3.14}{A=50.24}[/tex]
Answer:
50.24 sq units
Step-by-step explanation:
Probability question. Please answer with work attached.
Step-by-step Answer:
There is a total of 10 coins, 5 dimes, 2 quarters and three pennies.
By picking a coin, it could be any that shows up out of the 10, so the probability of picking any coin in particular is 1 / 10.
If there are 5 dimes, the probability of picking ANY one particular dime is 1/10, so with 5, the probability of picking ANY of the five dimes is 5/10 = 1/2.
Going along the same line of thought, the probability of picking any of quarters and pennies would be 2/10+3/10 = 5/10 = 1/2 as well.
What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?
For this case, to find the roots of the function, we equate to zero.
[tex]x ^ 3 + 2x ^ 2-x-2 = 0[/tex]
We rewrite how:
[tex]x ^ 3 + 2x ^ 2- (x + 2) = 0[/tex]
We factor the maximum common denominator of each group:
[tex]x ^ 2 (x + 2) -1 (x + 2) = 0[/tex]
We factor the polynomial, factoring the maximum common denominator[tex](x + 2):[/tex]
[tex](x + 2) (x ^ 2-1) = 0[/tex]
By definition of perfect squares we have to:
[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]
ON the expression[tex](x ^ 2-1):[/tex]
[tex]a = x\\b = 1[/tex]
So:
[tex](x ^ 2-1) = (x + 1) (x-1)[/tex]
Thus, the factorization of the polynomial is:
[tex](x + 2) (x + 1) (x-1) = 0[/tex]
[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
ANswer:[tex]x_ {1} = - 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
I need help on this question
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Compare the ratio of the measure of corresponding sides, that is
AB = 6 and A'B' = 2
BC = 3 and B'C' = 1
Calculate the ratio of A'B'C' to ABC, then
scale factor = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Kamal solved an equation as shown below. 3(x-8)=x+2x+7 3x-24=3x+7 -24=7 What is the solution to Kamal’s equation?
Answer:
No solution
Step-by-step explanation:
The given equation is [tex]3(x-8)=x+2x+7[/tex].
Kamal expanded first and simplified the RHS to get: [tex]3x-24=3x+7[/tex]
He then subtracted 3x from both sides of the equation to get: -24=7
Since the last statement is false, it means the given equation is inconsistent.
Hence the equation has no solution.
Answer:Its No Solution i just took the Unit Test.
Step-by-step explanation:
A person drove 36 miles per hour on a trip. If he had driven 48 miles per hour he would have arrived 4 hours earlier. What was the distance the person drove?
Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
===========
d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
Eduardo's average speed on his commute to work was 55 miles per hour. On the way home, he hit traffic and only averaged
40 miles per hour. If the round trip took him 1.25 hours, which expression represents the distance, in miles, for his trip home
that is missing from the table?
Rate
(mi/h)
55
Time
(h)
Distance
(miles)
55t
Commute to
Work
Commute to
Home
40
Answer:
The answer is 40(1.25 – t) C.
Step-by-step explanation:
That's the answer for e2020 students!!
Answer:
c
Step-by-step explanation:
big brain
The graph shows the population of a school from year to year what is the rate of change in terms of number of students per year?
Answer:
The number of students per year increasing
Please someone help i really need it :( The original 25 colored pencils have all been placed back in the box and another 11 colored pencils have been added to the box. The new pencils are either red, blue, or green. The likelyhood of drawing a green pencil is now greater than the likelyhood of drawing a red pencil, but less than the likelyhood of drawing a blue pencil.
What is the question?
I would say there would be 5 blue pencils, 4 green pencils, and 2 red pencils. I say this because the chance of grabbing a green pencil is smaller than the blue, and the chance of grabbing a red one is smaller than the green one, as a result, we are left wit 5 blue pencils, 4 green pencils, and 2 red pencils.
What is the value of x?
A. 13
B. 17
C. 119
D. 169
Answer:
13
Step-by-step explanation:
x² = 5²+12²
x² = 25+144
x² = 169
x² = 13²
x = 13
Curtis wants to save money for a trip overseas. Curtis invests 800 in an account that pays an interest rate of 6.25%. How many years will it take for the account to reach $10800? round your answer to the nearest hundredth
Answer:
the answer is 42.93
Step-by-step explanation:
just did it
PLZ HURRY IT'S URGENT!
What is the distance between the points (4, 7) and (4, –5)? A. 2 units B. 0 units C. 4 units D. 12 units
Answer:
D. 12 units
Step-by-step explanation:
The distance between two points is found by
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
sqrt( (4 -4)^2 + (-5-7)^2)
sqrt((0^2 + (-12)^2)
sqrt(0+144)
sqrt(144)
12
Solve each equation. 6.97a = 27.88
Answer:
a=4
Step-by-step explanation:
6.97a = 27.88
Divide 6.97a on both sides
6.97a/6.97a = 27.88/6.97a
a=4
6.97a = 27.88
Divide both sides by 6.97.
6.97a/6.97 = 27.88/6.97
a = 4
Simplify the following.
7^1=
4^0=
6^-1=
Answer:
7
1
0.1666666667
The following exponents can be simplified as follows:
[tex]7^1=7[/tex][tex]4^0=1[/tex][tex]6^-1=1/6[/tex]What are exponents?The exponent of a number says how many times to use the number in a multiplication.
For example: 8 to the Power 2( or 8^2)
In 8^2 the "2" says to use 8 twice in a multiplication,
so 8^2 = 8 × 8 = 64
In words: 8^2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared".
So coming to the question:
a) 7^1 = 7 times 1 from definition that 7*1=7
b)To prove this one, I will go with the property of exponents:
[tex]a^{(b-c)}=\dfrac{a^b}{a^c}[/tex]
implies:
[tex]4^0=4^{(2-2)}=\dfrac{4^2}{4^2} =1[/tex]
c)Applying the previous property:
[tex]6^{-1}=6^{0-1}=\dfrac{6^0}{6^1}=\dfrac{1}{6}[/tex]
Therefore, with the help of definitions and property of exponent, we can simplify it.
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Select the correct answer. Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ? A. -4 B. -1 C. -2 D. 0
Answer:
i think its -2
because the object increased in size but nothing else changed the slope stays the same the slope is the same as the original shape
if i am wrong i apologize
Step-by-step explanation:
The slope of the rectangle will be the same as ABCD option (B) -2 is correct, which is the slope of the ABCD.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′.
As we know, if dilate the rectangle by factor 2 the slope of the sides will not change.
Thus, the slope of the rectangle will be the same as ABCD option (C) -2 is correct, which is the slope of the ABCD.
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The graph of y = 1/x is vertically stretched by a factor of 3, reflected across the y-axis and shifted to the left by 2 units. What it the function of the resulting graph?
y = 3/(x-2)
y = (-3)/(x+2)
y = 1/(3x-6)
y = (-1)/(3x+6)
y = (-1)/(3x-6)
ANSWER
[tex]y = - \frac{3}{x + 2} [/tex]
EXPLANATION
The given parent function is:
[tex]y = \frac{1}{x} [/tex]
When this function is vertically stretched by a factor of 3, then we have
[tex]y = \frac{3}{x} [/tex]
A reflection across the y-axis transforms the function to;
[tex]y = - \frac{3}{x} [/tex]
When the resulting function is shifted to the left, the transformed function becomes;
[tex]y = - \frac{3}{x + 2} [/tex]
Find the area of a regular hexagon with the given measurement.
4-inch side
A = sq. in.
bruh what is the answer
Answer: [tex]24\sqrt{3}in^2[/tex] or [tex]41.56in^2[/tex]
Step-by-step explanation:
You can find the area of a regular hexagon with the following formula:
[tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex]
Where "s" is any side of the regular hexagon.
For this hexagon you know that the length of each side is 4 inches. Then, you must substitute [tex]s=4in[/tex] into the formula [tex]A_{(hexagon)}=\frac{3\sqrt{3}s^2}{2}[/tex].
Therefore, the area of this regular hexagon is:
[tex]A_{(hexagon)}=\frac{3\sqrt{3}(4in)^2}{2}[/tex]
[tex]A_{(hexagon)}=24\sqrt{3}in^2[/tex] or [tex]A_{(hexagon)}=41.56in^2[/tex]
Answer:
the answer is 24 square root 3
Step-by-step explanation:
How many 2/3 cup servings of rice are in a 6 cup bag
Answer:
9
Step-by-step explanation:
namely, how many times does 2/3 go in 6?
[tex]\bf 6\div\cfrac{2}{3}\implies \cfrac{6}{1}\div\cfrac{2}{3}\implies \cfrac{6}{1}\cdot \cfrac{3}{2}\implies \cfrac{3}{1}\cdot \cfrac{6}{2}\implies 3\cdot 3\implies 9[/tex]
The radius of a small ornament in the shape of a sphere is 2 inches. What is the approximate volume of the ornament? Use 3.14 for pi. Round to the nearest tenth of a cubic inch.
Answer:
34
Step-by-step explanation:
The volume is calculated as approximately 33.5 cubic inches when rounded to the nearest tenth.
The question asks us to calculate the volume of a sphere with a known radius using the value of 3.14 for pi. The formula for the volume of a sphere is V = (4/3)πr³. Given that the radius (r) is 2 inches, we substitute the given values into the formula to find the volume:
V = (4/3)πr³
V = (4/3) × 3.14 × (2 inches)³
V = (4/3) × 3.14 × 8
V ≈ 33.51 cubic inches
We then round the result to the nearest tenth to get the final answer:
The approximate volume of the ornament is 33.5 cubic inches.
Determine the coordinates of the y-intercept of 5x − 5y = 4
Final answer:
The coordinates of the y-intercept of 5x − 5y = 4 are (0, -4/5).
Explanation:
The y-intercept of a linear equation represents the point where the line intersects the y-axis. To determine the coordinates of the y-intercept, we set the x-coordinate to 0 and solve for y. In the equation 5x - 5y = 4, To determine the coordinates of the y-intercept of the equation 5x − 5y = 4, we set the x-value to 0 since, by definition, the y-intercept occurs where the line crosses the y-axis (x=0). The equation simplifies to -5y = 4. we substitute x=0 and solve for y:
5(0) - 5y = 4
-5y = 4
y = -4/5
Therefore, the coordinate of the y-intercept is (0, -4/5).
Which quotient is the same as the quotient 4.85÷0.7? 1. 48.5÷7 2. 48.5÷70 3. 485÷0.07 4. 485÷7
Answer:
1. 48.5÷7
Step-by-step explanation:
4.85÷0.7
We can multiply both terms by 10 without changing the division problem
4.85 * 10 = 48.5
.7 * 10 = 7
48.5 ÷ 7 is the same as 4.85 ÷ .7
38. Express these rates in the lowest terms.
a. $56: 16 kg
b. There are six teachers for every 108 students
39. Change to unit rates.
a. $20 for five T-shirts
b. 45 miles in half an hour
Answer:
38: is A
39: is A
Step-by-step explanation:
To express rates in the lowest terms, divide both the numerator and denominator by their greatest common divisor. For unit rates, calculate the rate per single unit of item or time. Example: $7 for 2 kg simplifies to a rate of $3.50 per kg, six teachers for 108 students simplifies to one teacher for 18 students, $20 for 5 T-shirts becomes $4 per T-shirt, and 45 miles in half an hour translates to 90 miles per hour.
Explanation:Question 38: Our goal is to express the rates in the lowest terms.
$56 for 16 kg: To find the simplest form, we divide both the numerator (dollars) and the denominator (kilograms) by the greatest common divisor. $56 and 16 kg both are divisible by 8, so dividing by 8 gives us $7 for 2 kg.Six teachers for every 108 students: The simplest form is found by dividing both numbers by their greatest common divisor, which is 6 in this case. So, 1 teacher for every 18 students is the rate in the lowest terms.Question 39: Here, we will convert the given rates to unit rates.
$20 for five T-shirts: A unit rate is the rate for one unit of the item. To find the unit rate for one T-shirt, divide $20 by 5. This gives $4 per T-shirt.45 miles in half an hour: To find the distance traveled in one hour (unit time), multiply the distance by 2. So, the unit rate is 90 miles per hour.