Answer:
?
Step-by-step explanation:
Solve the following equation.
66 = 6n
60 is 5 timesas great as k
Answer:
12
Step-by-step explanation:
60=12*5
x is y times as great as k means that x=k*y
2 Points
Congruent angles must satisfy which of the following conditions?
A. The sum of their measures is 90°
B. They have the same angle measure.
C. They share a vertex and a side.
Answer:
B
Step-by-step explanation:
Congruent angles are angles that have the same measure. This is the primary condition that they satisfy. The sum of their measures being 90° or sharing a vertex and a side don’t necessarily define congruent angles.
Explanation:In the field of Mathematics, particularly in geometry, congruent angles are those which satisfy the condition of having the same angle measure. This implies that their measures, when compared, are equal. The other options you mentioned, like the sum of their measures being 90° or sharing a vertex and a side, don’t necessarily apply to all congruent angles. For instance, for two angles to sum to 90°, they would be complementary, not necessarily congruent.
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Expand and simplify (5x+2)(2x-3)
Answer:
10x^2 - 11x - 6
Step-by-step explanation:
(5x+2)(2x-3)
= 10x^2 - 15x + 4x - 6
= 10x^2 - 11x - 6
Answer:
(5x+2)(2x-3)=5x(2x-3)+2(2x-3)=5x*2x-5x*3+2*2x-2*3=10x^2-15x+4x-6=
10x^2-11x-6
Step-by-step explanation:
Perform the indicated operation and write the result in the form a + bi.
4i(-i + 3) - 3(6 - 2i)
Answer:
- 14 + 18i
Step-by-step explanation:
Note that i² = ([tex]\sqrt{-1}[/tex] )² = - 1
Given
4i(- i + 3) - 3(6 - 21) ← distribute both parenthesis
= - 4i² + 12i - 18 + 6i
= - 4(- 1) - 18 + 18i
= 4 - 18 + 18i
= - 14 + 18i
The indicated operation of 4i(-i + 3) - 3(6 - 2i) in the form a + bi is -14 + 18i.
To perform the indicated operation and write the result in the form a + bi, we have to distribute and combine like terms carefully.
Starting with 4i(-i + 3), we distribute 4i:
4i * (-i) = -4i^2 = 4 (since i^2 = -1)
4i * 3 = 12i
This gives us 4 + 12i.
Now addressing the second part, -3(6 - 2i), we also distribute:
-3 * 6 = -18
-3 * (-2i) = 6i
This results in -18 + 6i.
Combining both parts (4 + 12i and -18 + 6i):
(4 + 12i) + (-18 + 6i) = (4 - 18) + (12i + 6i)
= -14 + 18i
The school choir is getting ready for their spring concert. There are 48 members in the choir and each member expects to have 10 people in the audience, how many rows of chairs will need to be set up if each row has 30 in it
Answer: 16 Rows
Step-by-step explanation: 48*10= 480, meaning there is 480 people that will be attending. If each row has 30 chairs you divide 480/30 which equals 16. If you multiply 16 times 30 you will get 480 (to check your answer)
Answer:
16 rows
Step-by-step explanation:
There are 48 members in the choir .
Each member expects to have 10 people in the audience.
That’s
48 x 10 = 480 people
There will be 480 people in the audience.
If each row has 30 chairs in it
Number of rows to accommodate 480 people will be 480 divided by the number of seats in one row
That’s
= 480/30
= 16 rows
16 rows of chair will need to be set up
Can someone answer this
Question 23
Answer:
65
Step-by-step explanation:
peter packed 32 pints of pickles in a minute.Find peters pickle packing rate in ounces per minute
Answer:
2 per minute
Step-by-step explanation:
Peter's pickle packing rate in ounces per minute is found by converting pints to ounces. By multiplying the 32 pints he packs in a minute by 16 ounces per pint, it is determined that Peter packs 512 ounces of pickles per minute.
Peter's pickle packing rate needs to be converted from pints to ounces to find how much he packs in ounces per minute. Since there are 16 ounces in a pint, we can find Peter's rate in ounces by multiplying the number of pints by 16.
Here are the calculation steps:
Identify the number of pints Peter packs in a minute, which is 32 pints.
Multiply the number of pints by the number of ounces in a pint. Since there are 16 ounces in a pint, the calculation is 32 pints * 16 ounces/pint.
Calculate the total to find Peter packs 512 ounces of pickles in a minute.
Therefore, Peter packs 512 ounces of pickles per minute.
What times 2 =121 example 2x2=4
Answer:
60.5
Step-by-step explanation:
All you need to do is divide 121 and 2. When you do so you world get 60.5.
To check, 60.5 times 2 is 121.
Hope this helped!
Answer:
Do you mean 11*11=121
Step-by-step explanation:
11 multiplied by 11
Describe and correct the error.
x + 4 > 13
Answer:
x=10
Step-by-step explanation:
13-4=9
For it to be bigger than 13, it has to be one more than 9 which is 10.
Charles has a rectangular flower garden that is 5yd long and 12yd wide. One bag of fertilizer can comer 6 squares yard. How many bags will he need to buy to cover the entire garden?
10 bags of fertilizer
Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, triangle F G H has points (negative 2, 1), (negative 3, 3), (0, 1). Triangle F prime G prime H prime has points (negative 8, negative 4), (negative 12, negative 12), (0, negative 4). Which identifies the transformation that occurred after the dilation? a dilation by a scale factor of 3 and then a reflection across the x-axis a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin a dilation by a scale factor of 4 and then a reflection across the x-axis a dilation by a scale factor of 4 and then a 180 degrees rotation about the origin
Answer:
A dilation by a scale factor of 4 and then a reflection across the x-axisExplanation:
1. Vertices of triangle FGH:
F: (-2,1)G: (-3,3)H: (0,1)2. Vertices of triangle F'G'H':
F': (-8,-4)G': (-12,-12)H': (0, -4)3. Solution:
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is a dilation by a scale factor of 4 and a reflection across the x-axis. This is the proof:
Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)(0,1) → 4(0,1) = (0,4)
Rule for a reflection across the x-axis:{ (x,y) → (x, -y)(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
Dilation by a scale factor of 4: multiply each coordinate by 44(-2,1) → (-8,4)
4(-3,3) → (-12,12)
Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for a dilation by a scale factor of 4 and then a reflection across the x-axis.
Answer:a dilation by a scale factor of 4 and then a reflection across the x-axis
Step-by-step explanation:
How long does it take to travel 30km at 45km/h?
It will take 0.67 hours
Step-by-step explanation:
Step 1: Given distance = 30 km and speed = 45 km/hr. Find the time using the formula for speed.Time = Distance/Speed
= 30/45 = 0.67 hours
factor the gcf: 6x^4y^3*21x^y^2-9x^2y
Answer:
GCF is [tex]9x^2y[/tex]
Step-by-step explanation:
When the GCF or the greatest common factor of the expression is required to be found, then take the common terms, and write the expression in the factor form first.
Now, here we have to find the factor of the expression:
[tex]6x^4y^3\cdot 21x^2y^2-9x^2y\\[/tex]
which can be re-written as:
[tex]6x^4y^3\cdot 21x^2y^2-9x^2y\\=126x^6y^5-9x^2y[/tex]
Now, this is further written as:
[tex]126x^6y^5-9x^2y\\=14\cdot \:9x^2x^4yy^4-9x^2y\\[/tex]
Here taking the term [tex]9x^2y[/tex] common, we will get:
[tex]14\cdot \:9x^2x^4yy^4-9x^2y\\=9x^2y\left(14x^4y^4-1\right)\\[/tex]
So we have the expression:
[tex]6x^4y^3\cdot 21x^2y^2-9x^2y= 9x^2y\left(14x^4y^4-1\right)\\[/tex]
So the GCF or the greatest common factor is
[tex]9x^2y[/tex]
Nate worked for 28 hours last week. This is 40% of the total hours
he worked this month. How much did he work this month?
Answer:70
Step-by-step explanation:since 28b is 40% of 28,divide 100 by 48 because 100 is the whole and you need to find how to get the whole,100 divide by 48 is 2.083 then you multiply it to 28 to get 70.
Answer:
70
Step-by-step explanation:
hope its helpful....
Four consecutive integers just greater than -9
Answer: -8 -7 -6 -5
Step-by-step explanation:
The four consecutive integers just greater than -9 are -8 -7 -6 -5
Answer:
-8, -7, -6, -5
Step-by-step explanation:
what is product of the complex numbers 3 - 4i and -6 + i, where i =
Option C:
The product of 3 - 4i and -6 + i is -14 + 27i.
Solution:
Given complex numbers are 3 - 4i and -6 + i.
To find the product of these numbers.
Product of 3 - 4i and -6 + i
[tex]=(3 - 4i)(-6 + i)[/tex]
Multiply each term of first number with each term of second number.
[tex]=3 (-6 + i)-4i(-6+i)[/tex]
[tex]=3 (-6) + 3i -4i (-6)-4i^2[/tex]
Since the value of i² = -1
[tex]=-18+ 3i +24i-4(-1)[/tex]
[tex]=-18+27i+4[/tex]
[tex]=-14+27i[/tex]
The product of 3 - 4i and -6 + i is -14 + 27i.
Option C is the correct answer.
Here we just want to find the product of two complex numbers, we will see that the solution is -14 + 27i
Remember that the complex number i has the property:
i^2 = -1
Now we want to perform the multiplication between 3 - 4i and -6 + i
Then we have:
(3 - 4i)*(-6 + i) = -18 + 3i + (4i)*6 - (4i)*i = -18 + 27i + 4 = -14 + 27i
So the correct option is C.
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order the numbers from least to greatest 7/8 1/2 3/8 3/4
Answer:
3/8, 1/2, 3/4, 7/8
Step-by-step explanation:
If you turn them into decimals it makes it clearer if not
To order the fractions (7/8, 1/2, 3/8, and 3/4) from least to greatest, they are first expressed with a common denominator and then arranged accordingly, resulting in the order being 3/8, 1/2, 3/4, and 7/8.
The question involves ordering the fractions 7/8, 1/2, 3/8, and 3/4 from least to greatest. To compare these fractions easily, they should be converted to have a common denominator. The least common denominator for 8, 2, and 4 is 8. Thus, the fractions become 7/8, 4/8 (1/2), 3/8, and 6/8 (3/4).
3/8
4/8 (1/2)
6/8 (3/4)
7/8
Therefore, the numbers ordered from least to greatest are 3/8, 1/2, 3/4, and 7/8.
Please help will give BRAINLIEST.
Triangle RST is similar to
triangle RVW.
What is the value of din millimeters?
A)
27 mm
B)
12 mm
C)
9 mm
D)
13 mm
Answer: B) 12
Step-by-step explanation: In order to solve this you have to know the scale factor between the two triangles. In order to do that you just need to take a similar side between the two triangles and divide them. For example:
10 / 15 = .6666
This is RW divided by RT
Now that you have the scale factor, you just need to multiply it by 18 to get WV.
18 x .666666 = 12
The value of d in millimeters is 12 mm and this can be determined by using the similar triangle property.
Given :
Triangle RST is similar to triangle RVW.The length of the segment RW = 10 mmThe length of the segment WT = 5 mmThe length of the segment TS = 18 mmThe following steps can be used in order to determine the value of d in millimeters:
Step 1 - The similar triangle property can be used in order to determine the value of d in millimeters.
Step 2 - Apply the similar triangle property on the triangle RST and triangle RVW.
[tex]\rm \dfrac{RW}{WV}=\dfrac{RT}{TS}[/tex]
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm \dfrac{10}{d}=\dfrac{15}{18}[/tex]
Step 4 - Simplify the above expression.
[tex]\rm d = \dfrac{10}{15}\times 18[/tex]
d = 12 mm
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Distributive property Use the distributive property to remove the parentheses .{y+10}12=
Answer:
12y + 120
Step-by-step explanation:
First of, what is the distributive property?
The distributive property is the property that helps distribute numbers under the parenthesis.
For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:
4(x) + 1(4)
4x + 4
Now, let's go back to your problem
Solution:
{y+10}12
12(y) +12(10)
= 12y + 120
Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You!
One lap around the lake is 7/10 mile.
Dasha runs 9 laps around the lake.
Answer:
63/10 = 6 3/10 miles
Step-by-step explanation
Multiply 7 times 9 = 63Simplify 63/10 and get 6 3/10So, Dasha runs 6 3/10 milesThere are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
One lap around the lake is 7/10 miles.
Let x be the number of miles in 9 laps
x = 9(7/10)
x = 63/10 miles
Or
x = 6.3 miles
Thus, there are 63/10 or 6 3/10 or 6.3 miles Dasha runs 9 laps around the lake if one lap around the lake is 7/10 miles.
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write a algebric expression that means six divided by two times a number
i need help
Answer:
number= n
6/2n
i think this is how you do it
Answer:
the correct answer is 6/2*x
Stiind ca triunghiurile sunt asemenea si c= 5 calculati lungimea laturilor indicate
a=?
b=?
c=?
Answer:
[tex] a = 8 \\ b = 10 \\ c = 5[/tex]
Step-by-step explanation:
[tex]{c}^{2} = {3}^{2} + {4}^{2} \\ c = 5 \\ \frac{3}{6} = \frac{4}{a} = \frac{5}{b} \\ a = 8 \: \: \: \: \: b = 10[/tex]
Answer:
[tex]a=8\\b=10\\c=5[/tex]
Step-by-step explanation:
In the given image, you can observe we have two right triangles.
Also, we know by given that those triangles are similar, which means their sides are proportional and their angles are congruent.
If the triangles are similar, we can define the following proportion between sides.
[tex]\frac{4}{a} =\frac{3}{6}\\ 24=3a\\a=\frac{24}{3}\\ a=8[/tex]
Now we use the Pythagorean's Theorem to find each hypothenuse.
[tex]c^{2} =4^{2} +3^{2}\\ c=\sqrt{16+9}=\sqrt{25} \\ c=5[/tex]
[tex]b^{2} =8^{2} +6^{2}\\ b=\sqrt{64+36}=\sqrt{100}\\ b=10[/tex]
Therefore, the missing sides are
[tex]a=8\\b=10\\c=5[/tex]
A cookie company uses 1/6 of a foot of cookie dough to make a cookie. How many feet of cookie dough is needed to make 15 cookies?
Answer:
2 3/6 feet of cookie dough
Step-by-step explanation:
Final answer:
To make 15 cookies, 2.5 feet of cookie dough is needed.
Explanation:
To find how many feet of cookie dough is needed to make 15 cookies, we can set up a proportion using the given information. The ratio 1/6 represents the amount of cookie dough needed to make 1 cookie. We can set up the proportion:
1/6 = x/15
To solve for x, we can cross multiply:
15 * 1 = 6 * x
Simplifying the equation gives:
15 = 6x
To isolate x, we can divide both sides of the equation by 6:
x = 15/6 = 2.5 feet of cookie dough
Therefore, 2.5 feet of cookie dough is needed to make 15 cookies.
Is 2/5 grater than or less than or equal to 1/3
Answer: 2/5>1/3
Step-by-step explanation: To make this easier, convert both to fifteenths.
To do this for 2/5, divide 15 by 5 to get 3. Now multiply both 2 and 5 by 3. This should get you 6/15.
To convert 1/3, divide 15 by 3 to get 5. Now multiply both 1 and 3 by 5. This should get you 5/15.
6/15>5/15 so 2/5>1/3.
I NEED HELP ON THIS FAST PLZ
Answer:
d
Step-by-step explanation:
bjkbj
if y=5x-7, determine the value of y when x=-3
Answer:-22
Step-by-step explanation:
5 times -3 equals -15, and the combine it with -7 to get -22
Answer:
y = -22
Step-by-step explanation:
y=5x-7
Let x=-3 and substitute it into the equation
y = 5(-3) -7
Multiply
y = -15-7
y = -22
Justin needs to make 80 illustrations for an art book. He has made 40% of the
illustrations. Make a bar model to show his progress. How many illustrations does
he still need to make? Explain.
Answer: the answer is
5000
Step-by-step explanation:
Answer:40%
Step-by-step explanation:
James drove 6 miles south and then 3 miles west.how far is he from his starting point
Answer:
9 miles
Step-by-step explanation:
A 6+3 is nine
O is the midpoint of segment IU. If I is (-7, 2) and O is (5, -8), what are the coordinates of U?
The coordinates of U, the endpoint of the segment, can be found by using the midpoint formula. The x-coordinate of U is (-7 + 5) / 2 = -1, and the y-coordinate is (2 + (-8)) / 2 = -3. Thus, the coordinates of U are (-1, -3).
Explanation:The coordinates of the midpoint O are given as (5, -8). To find the coordinates of the endpoint U, we can use the midpoint formula. The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the endpoints, and the y-coordinate can be found by taking the average of the y-coordinates. So, the x-coordinate of U is (-7 + 5) / 2 = -1, and the y-coordinate is (2 + (-8)) / 2 = -3. Therefore, the coordinates of U are (-1, -3).
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