Answer:
x-value is 4
Step-by-step explanation:
2x-3y=-1
3x+4y=24
We can solve the equation by eliminating y
We multiply the first equation by 4 and the second by 3
4(2x-3y=-1 )
3(3x+4y=24)
8x -12y = -4
9x +12y = 72
Then we add the two equations;
8x -12y = -4
9x +12y = 72
17x = 68
x = 4
Thus the x-value is 4
You are re-tiling the entry to your home and want to create a fancy circular medallion in the center. You want to create a large circle with a smaller circle centered inside. You want to tile the large circle with blue tile and the smaller circle with yellow tile. The circumference of the large circle is 113.097 inches and the radius of the smaller circle is 7 inches. How much blue tile do you need (in square inches)?
Answer:
Are needed [tex]863.5\ in^{2}[/tex] of blue tile
Step-by-step explanation:
we know that
To find how much blue tile do you need, subtract the area of the smaller circle from the area of the large circle
step 1
Find the radius of the large circle
The circumference of the circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=113.097\ in[/tex]
substitute and solve for r
[tex]113.097=2\pi r[/tex]
[tex]r=113.097/(2\pi)[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]r=113.097/(2(3.14))=18\ in[/tex]
step 2
Find the area of the large circle
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=18\ in[/tex]
substitute
[tex]A=\pi (18)^{2}=324\pi\ in^{2}[/tex]
step 3
Find the area of the smaller circle
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7\ in[/tex]
substitute
[tex]A=\pi (7)^{2}=49\pi\ in^{2}[/tex]
step 4
Find the difference of the areas
[tex]324\pi\ in^{2}-49\pi\ in^{2}=275\pi\ in^{2}[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]275(3.14)=863.5\ in^{2}[/tex]
What expression represents five times the quotient of some number and ten
Answer:
since we dont know the variable it isnt very easy to anser..
Step-by-step explanation:
Lets assume the variable is V okay?
5 time we know times means multiplication so
5 x
The quotients is division so
5 x V divided 10
11, 7, 3, -1,...
If 11 is defined as the first term in the sequence given above which of the following functions describes this sequence?
(Answer choices in photo)
The mathematical formula to solve this is :
f(n)= f1 + (n-1)d
We have:f(n)= 11 + (n-1)-4
f(n)= 11 -4n +4
f(n)=15 -4n
The right answer is D.
Nadia makes the sign for her bedroom door she wants to put a ribbon border around the edges of the side she has 12 inches of ribbon is that enough
Answer - No because a door is around 5 feet
If h = 24 units and r = 8 units, what is the volume of the cone shown above?
Use 3.14 for .
Answer: 1607.68units^3
Step-by-step explanation:
Answer:
1607.68
Step-by-step explanation:
What is the slant height x of this square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 4 meters. The lateral edge makes a 60 degree angle with the base edge.
Answer:
= 2√3 m or 3.464
Step-by-step explanation:
Using the sine,
sin(60”) = x / 4 multiply both sides by 4
4 sin (60°) = x
4 * √3 / 2 = x
x = 2√3 m
slant height =2√3 m
Answer: The slant height is 2√3 meters.
Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.
In how many ways committee of 8 people can be chosen out of 10 men and 6 women if there needs to be at least 5 women?
Answer:
765
Step-by-step explanation:
Given in the question,
number of people to be choose with at least 5 women in it = 8
There are 2 ways to choose 8 members
1)
5 women
(6C5)(10C3)
6x120
720
2)
6 women
(6C6)(10C2)
1x45
45
Our final answer is 720 + 45 = 765 ways
Formula to calculate
nCr = n! / r!(n-r)!
The selection of members of the committee is an illustration of combination.
The number of ways of selection is 765
The given parameters are:
[tex]\mathbf{Men = 10}[/tex]
[tex]\mathbf{Women = 6}[/tex]
At least 5 women means that:
There are 5 women and 1 man in the committee orThere are 6 women and no man in the committeeSo, the possible selection is:
[tex]\mathbf{Selection = ^6C_5 \times ^{10}C_3 + ^6C_6 \times ^{10}C_2}[/tex]
Apply combination formula
[tex]\mathbf{Selection = \frac{6!}{5!1!} \times \frac{10!}{7!3!} + \frac{6!}{6!0!} \times \frac{10!}{8!2!}}[/tex]
[tex]\mathbf{Selection = 6 \times 120 + 1 \times 45}[/tex]
[tex]\mathbf{Selection = 720 + 45}[/tex]
[tex]\mathbf{Selection = 765}[/tex]
Hence, the number of ways of selection is 765
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You want to put a 2 inch thick layer of topsoil for a new 27 ft by 34 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
3.78 cubic yards or just 4 to make things simple.
20 x 30 = 600 sqft x .17 or (2/12) = 102 cubic feet / 27 (cubic feet in a yard) = 3.78 cubic yards
Step-by-step explanation:
To cover a 27 ft by 34 ft garden with a 2 inch thick layer of topsoil, we would need approximately 5.75 cubic yards of topsoil from the store.
Explanation:This question involves understanding dimensions and volume. In this case, the dimensions of the garden are given in feet (27 ft by 34 ft), and the desired thickness of the topsoil is 2 inches, which is approximately 0.167 feet. To calculate the volume in cubic feet, we multiply the length, width, and height.
The formula to calculate volume is: Volume = Length * Width * Height.
So, Volume = 27 ft * 34 ft * 0.167 ft = 153.234 cubic feet
Now, to convert this volume into cubic yards (since the store sells soil in cubic yards), we use the fact that 1 cubic yard = 27 cubic feet.
So, Volume = 153.234 cubic feet / 27 = approximately 5.676 cubic yards.
Given that the store only sells in increments of 1/4 cubic yards, we will need to round 5.676 up to the nearest quarter yard. This gives us 5.75 cubic yards.
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The length of an average cat's body is 45 centimeters. How many millimeters are equivalent to 45 centimeters?
Answer:
450
Step-by-step explanation:
1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;
45*10 = 450 millimeters
Answer:
450 mm
Step-by-step explanation:
Given in the question,
the length of an average cat's body = 45 cm
To find,
number of mm which are equivalent to 45 cm
We know that
1 cm = 10 mm
45 cm = 45 x 10 mm
= 450 mm
Hence, there are 450 mm in 45 cm.
Please help 10 points <3
What is the equation for (-3,-2)
Answer:
Y = mX + b
Step-by-step explanation:
Equation for a line:
Y = mX + b
Best regards
Help please!!!!!!!!!!!!!
Answer:
A. Nothing, Paul is correct
Step-by-step explanation:
Tangent to a circle is a line that touches the circle at one point. At the point of contact, tangent to a circle is always perpendicular to the radius. If two tangents are drawn from a common external point to a circle, then the two tangents have equal tangent segments.Tangent segment means line joining to the external point and the point of contact to the circle.X+3
——=8 what’s the value for
2. X
Pythagorean theorem
Answer:
use pythagorean theroem lol a²+b²=c²
Answer:
I think the answer would be 4.5 miles
Step-by-step explanation:
What is the area of this figure
Answer:
58.6
Step-by-step explanation:
To find the area of the figure by splitting it into two shapes - a trapezoid and a rectangle.
The area of a rectangle is A = b*h where b = 8 and h = 4.
So the area is A = 8*4 = 32
The area of a trapezoid is A = 1/2 (a+b)h where a = 8 and b = 5.3 and h = 4.
So the area is A = 1/2(8+5.3)*4 = 1/2(13.3)(4) = 26.6.
The area of the whole figure is these two areas added together.
32 + 26.6 = 58.6
The table below shows the price for different numbers of notebook:
Number of Notebooks Price (in $)
2 12
3 18
4
5 30
What price should 4 notebooks cost if the relationship represented is proportional?
Please HELPPP!! I WILL GIVE BRANLIEST!!!!
The cost of 4 notebooks should be 24.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
Price of 2 notebooks = $12
Price of 3 notebooks = $18
And the price of 5 notebooks = $30
To determine the price of 4 notebooks,
First find the price of 1 notebook = 12 / 2 = 6
The price of 4 notebooks = 6 x 4 = 24
The required price of 4 notebooks is $24.
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which expression is equivalent to 8x - 12y +32
The expression equivalent to 8x - 12y + 32 is 4(2x - 3y + 8) after factorization by the greatest common factor.
Explanation:To find an expression equivalent to 8x - 12y + 32, we can primarily factor by finding common factors in this expression. One of the significant aspects in factorizing expressions is searching for the greatest common factor which is 4 in this case. We divide each term in the expression by the greatest common factor to obtain the equivalent expression.
So, "4(2x - 3y + 8) is an equivalent expression to 8x - 12y + 32".
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What is the area of the polygon shown below?
Answer:
The answer is D
Step-by-step explanation:
Select the correct answer. If a six-sided die is rolled 30 times, how many times can you expect to get a 6? A. 3 B. 5 C. 6 D. 10
There are 6 numbers on a die.
The probability of rolling a 6 would be 1/6 for each time you roll the die.
Multiply the number of rolls by 1/6.
30 rolls x 1/6 probability = 5 times.
The answer is B. 5
what is the distance from point N to LM in the figure below? APEX!
Answer:
Step-by-step explanation:
7.8 is the distance from n to lm
Answer:
E. 7.8
Step-by-step explanation:
We have been given an image of a triangle and we are asked to find the distance from point N to line LM.
We can see that NO is the altitude for our given triangle, so the distance from point N to line LM will be equal to length of segment NO.
We can see from our given attachment that length of segment NO is 7.8 units, therefore, option E is the correct choice.
A triangular prism has bases that are equilateral triangles. Which statements are true about the surface area of the triangular prism? Choose all that apply. A all three rectangular faces have the same surface area
B the surface area of each rectangular face is 66cm2
C the combined surface area of both bases is greater than the surface area of one rectangular face
D the surface area of one base is 15.6cm2
Answer:
A. all three rectangular faces have the same surface area
B. the surface area of each rectangular face is [tex]66\ cm^{2}[/tex]
D. the surface area of one base is [tex]15.6\ cm^{2}[/tex]
Step-by-step explanation:
Verify each statement
case A) all three rectangular faces have the same surface area
The statement is true
Because, the equilateral triangle has the three equal sides and the three equal internal angles.
case B) the surface area of each rectangular face is [tex]66\ cm^{2}[/tex]
The statement is true
Because, the area of each rectangular face is equal to
[tex]6(11)=66\ cm^{2}[/tex]
case C) the combined surface area of both bases is greater than the surface area of one rectangular face
The statement is False
Because
The combined surface area of both bases is [tex]2[\frac{1}{2}(6)(5.2)]=31.2\ cm^{2}[/tex]
The surface area of one rectangular face is [tex]66\ cm^{2}[/tex]
therefore
[tex]31.2\ cm^{2}< 66\ cm^{2}[/tex]
case D) the surface area of one base is [tex]15.6\ cm^{2}[/tex]
The statement is True
Because
The surface area of one base is [tex]\frac{1}{2}(6)(5.2)=15.6\ cm^{2}[/tex]
C.
D.
B.
C.
A.
D.
C.
C.
B.
A. B. and D.
This is the whole practice! 100% percent!
Have an amazing day! :):)
Write the expression in complete factored form. 4u(y+6)+a(y+6)
Answer:
(y + 6)(4u + a)
Step-by-step explanation:
Given
4u(y + 6) + a(y + 6) ← factor out (y + 6) from each term
= (y + 6)(4u + a) ← in factored form
Find the perimeter of the larger Octagon.
The scale factor is obviously 7, because the 28 divided by 4 equals 7.
This means that the larger octagon's perimeter will be 7 times the smaller octagon's perimeter.
So 34 * 7 = 238.
To find the perimeter of a larger octagon, add up the lengths of all its sides. The formula for finding the perimeter of any regular polygon is P = ns, where P is the perimeter, n is the number of sides, and s is the length of one side.
Explanation:An octagon is a polygon with 8 sides. To find the perimeter of an octagon, you need to add up the lengths of all its sides. If you know the length of one side of the octagon, you can multiply it by 8 to get the perimeter. For example, if the length of one side is 5 cm, the perimeter of the octagon would be 5 cm x 8 = 40 cm.
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find the area of the parallelagram
Answer:
The area of the parallelogram is 117.
Step-by-step explanation:
You do 9x13= area
9x13= 117
Solve: 92x + 1 = 93x – 2
x =
Answer:
x=3
Step-by-step explanation:
93x-92x=2+1
x=3
Answer:
x=3
Step-by-step explanation:
i did in edge right now
A cylinder has a radius of 10 M and a height of 8 AM what is the exact volume of the cylinder
[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill[/tex]
Plz help me with this!!!!!!!!
Answer: √y
Step-by-step explanation:
[tex]\sqrt[6]{y^3}=y^{\frac{3}{6}}=y^{\frac{1}{2}}=\boxed{\sqrt y}[/tex]
Find the mean of the set of numbers {-9,-8,4,-1}
Answer:
-3.5
Step-by-step explanation:
Remember that mean is the average.
Add all 4 numbers together and divide them by 4.
-9 + -8 + 4 + -1 = -14
-14/4 = -3.5
veta is buying a new video game for $45. she has $150 in her checking account and $5 in her wallet. which is the most reasonable way for veta to pay for the game?
Answer:
Debit card
Step-by-step explanation:
Got it right on TTM
Answer:
Debit card
Step-by-step explanation:
Hope this helps :)
several ordered pairs from a continuous exponential function are shown in the table. what are the domain and range of function?
A. the domain is the set of integers, and the range is y = 4.
B. the domain is the set of integers, and the range is y = 0.
C. the domain is the set of real numbers, and the range is y = 0.
D. the domain is the set of real numbers, and the range is y = 4.
Answer:the answer is b
Step-by-step explanation: