Answer:
8 flowers in each bunch
Step-by-step explanation:
From this information, we can make the equation:
[tex]23b-46=138[/tex]
Where [tex]b[/tex] is the number of flower in each bunch.
[tex]23b-46=138[/tex]
Add 46 to both sides
[tex]23b=184[/tex]
Divide both sides by 23
[tex]b=8[/tex]
There are 8 flowers in each bunch.
Answer:8
Step-by-step explanation:
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points)
Answer:
4 (20) + 6(6) = 120
4(20) + 4 (6) = 100
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations with the information given:
Build time (hours) = 4c + 6a = 120
Test time (hours) = 4c + 4 a = 100
Where c represents the number of child bikes and a represents adult bikes.
So, for 20 child bikes and 6 adult bikes:
4 (20) + 6(6) = 120
4(20) + 4 (6) = 100
Feel free to ask for more if needed or if you did not understand something.
simplify radical sign 16a^8b^-2
Answer:
[tex] \frac{ {4a}^{4} }{b} [/tex]solution,
[tex] \sqrt{16 {a}^{8} {b}^{ - 2} } \\ [/tex]
Use negative power rule:
[tex] {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]
[tex] \sqrt{ {16}^{8} \times \frac{1}{ {b}^{2} } } \\ [/tex]
Simplify:
[tex] \sqrt{ \frac{ {16a}^{8} }{ {b}^{2} } } \\ = \frac{ \sqrt{ {16a}^{8} } }{ \sqrt{ {b}^{2} } } \\ [/tex]
Use this rule:
[tex] \sqrt{ab} = \sqrt{a} . \sqrt{b} [/tex]
[tex] \frac{ \sqrt{16. \sqrt{ {a}^{8} } } }{ \sqrt{ {b}^{2} } } [/tex]
Since, 4*4=16 ,the square root of 16 is 4
[tex] \frac{ \sqrt{ {4}^{2} } \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } [/tex]
Simplify:
[tex] \frac{4 \: \sqrt{ {(a}^{4) ^{2} } } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 {a}^{4} }{b} [/tex]
Hope this helps...
Good luck on your assignment...
Write as an expression: Twice the product of the squares of x and y Thanks! -Jamie
Answer: [tex]2(xy )^{2}[/tex] the same thing as 2([tex]x^{2} y^{2}[/tex])
Step-by-step explanation:
You multiply 2 by x times y squared.
What is the smallest positive integer n for which [tex]n^{2}[/tex] is divisible by 18 and [tex]n^{3}[/tex] is divisible by 640?
Answer:
120
Step-by-step explanation:
n^2 has a factor of 18, so factors of 3^2·2. Since n^2 is a perfect square, we know n must have a factor of 3·2 = 6.
n^3 has a factor of 640, so factors of 2^7·5. Since n^3 is a perfect cube, we know n must have a factor of 2^3·5 = 40.
The least common multiple of 6 and 40 is 120.
The smallest positive integer n is 120.
_____
Check
120^2/18 = 800
120^3/640 = 2700
John is filling a bathtub that is 12 inches deep. He notices that it takes two minutes to fill the tub with three inches of water. He estimates it will take 10 more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct?
Answer:
No
Step-by-step explanation:
2 = 3 inches
2x5=10
10 = 3x5 of 15 inches
so no and it would take 8 minutes to fill up the tub
Given: In ΔBLU, LE ⟂ BU , and BL ≅ UL Prove: ΔBEL ≅ ΔUEL STATEMENT REASON 1. LE⟂ BU and BL ≅ UL 1. Given 2. LE ≅ LE 2. Reflexive Property 3. ΔBEL ≅ ΔUEL 3. _______________ Which of the following choices will complete the reasoning for statement #3? A SSA B AAA C HL D None of these choices are correct.
Answer:
I think it is C
Step-by-step explanation:
If four of the exterior angles of a convex pentagon measure
60°, find the measure of the fifth exterior angle.
Answer:
120°
Step-by-step explanation:
all exterior angles of any polygon add up to 360 therefore 4 x 60 = 240
360 - 240 = 120
The measure of the fifth exterior angle is 120 degrees if the four of the exterior angles of a convex pentagon measure 60°.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have:
If four of the exterior angles of a convex pentagon measure 60°
The sum of the total interior angles = 360
The sum of the four of exterior angles = 4(60) = 240 degrees
The measure of the fifth exterior angle = 360 - 240 = 120 degrees
Thus, the measure of the fifth exterior angle is 120 degrees if the four of the exterior angles of a convex pentagon measure 60°.
Learn more about the regular polygon here:
brainly.com/question/11810316
#SPJ2
You own a comic book store. When you order comic books for your store to sell, you get 18 comic books per bundle. How many comic books would you have to sell if you ordered 7 bundles?
Answer:
the answer is 126
Step-by-step explanation:
beacuse if you sell 7 bundles for every one you get 18 so 18+18+18+18+18+18+18=126
Answer:
126 books
Step-by-step explanation:
There are 18 books per bundle and 7 bundles
So you would multiply 7 with 18 and get your answer of 126 books to sell
what is the solution to this equation x/5=30
Answer:
x= 150
Step-by-step explanation:
X/5 = 30
x = 5×30
x= 150
Answer:
150
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] = 30
→ Multiply both sides by 5 to isolate x
x = 150
2 Points
What is the measure of ZE, in degrees?
Answer:
B. 84 deg
Step-by-step explanation:
Sides DE and FE are congruent since they both have the same length.
That makes angles D and F congruent.
m<D = m<F = 48
The sum of the measures of the angles of a triangle equals 180 deg.
m<E + m<D + m<F = 180
m<E + 48 + 48 = 180
m<E = 84
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Answer:
d
Step-by-step explanation:
What is the result of substituting for y in the bottom equation?
y = x + 3
y= x2 + 2x-4
A. x+ 3 = x2 + 2x - 4
B. X+ 3 = x2
C. y= (x+3)2 + 2(x + 3) - 4
D. y= x2 + 2x - 4 - (x+3)
Answer:
(A)[tex]x + 3= x^2 + 2x-4[/tex]
Step-by-step explanation:
Given the equations:
[tex]y = x + 3\\y= x^2 + 2x-4[/tex]
Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.
Substitution of y into [tex]y=x^2 + 2x-4[/tex] gives us:
[tex]x + 3= x^2 + 2x-4[/tex]
The correct option is A.
Solve each system by the addition method.
x + 2y = -1
5x - 4y = 16
Put your answer in ordered pair (x, y) DECIMAL form.
Answer:
(x, y) = (2, -1.5)
Step-by-step explanation:
x + 2y = -1
5x - 4y = 16
<=>
(2)x + (2)2y = (2)(-1)
5x - 4y = 16
<=>
2x + 4y = -2
5x - 4y = 16
<=>
7x = 14
<=>
x = 2
(*)x + 2y = -1
=> 2 + 2y = -1
=> 2y = -3
=> y = -1.5
=> (x, y) = (2, -1.5)
According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year? (Round your answer to 4 decimal places.)
Answer:
0.471
Step-by-step explanation:
Calculation for the probability that they spend less than $2,000 per year on insurance per year
First step is to find the base
Base =$2,000-$400
=$1,600
Second step is to find the probability using this formula
P=1/b+a×base
Where,
b represents $3,800
a represents $400
base represents $1,600
Let plug in the formula
P=1/$3,800-$400×$1,600
Hence,
P=1×$1,600/$3,800-$400
P=$1,600/$3,400
P=0.471
Therefore the probability that they spend less than $2,000 per year on insurance per year will be 0.471
Find the volume of the cylinder
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the radius is 9 and the height is 20
V = pi ( 9)^2 ( 20)
V = 1620 pi
If we approximate pi by 3.14
V =5086.80 cm^3
If we approximate pi by pi button
V =5089.3800099 cm^3
Answer:
V=5089.380099cm^3
Step-by-step explanation:
V=πr^2h
V=π(9)^2(20)
V=π(9)^2(20)
V=5089.380099cm^3
Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
Terri rode her bike very slowly to the top of a big hill. Then she coasted back down the hill at a much faster speed. The distance from the bottom to the top of the hill is 3 kilometers. It took Terri ¼ hour to make the round trip. What was her average speed for the entire trip?
Answer:
Terri’s speed can be calculated like this:
her speed- [tex]\frac{6km}{0.25h}[/tex]=24km/h
Step-by-step explanation:
Hi can any one please help me I really need help please help me I need help
Answer:
1(a)1,030,000+0.13x
(b)$1,030,026
2. (a)Base and Index
(b)See Explanation
Ste-by-Step Explanation
(a)Total Amount to be paid to the four actors
=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)
Collect like terms
=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x
[tex]\text{Total Amount Paid= }1,030,000+0.13x[/tex]
(b)When x=200
[tex]\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026[/tex]
Question 2
(a)The two parts of a power are the base and index.
Take, for example, the expression: [tex]a^b\\[/tex]
[tex]a$ is the base\\b is the index[/tex]
Another example using numbers is: [tex]10^3[/tex]
In this case:
[tex]10$ is the base\\3 is the index[/tex]
(b)Like terms are terms that have the same letter/variable attached to them.
For example, the following pairs are like terms
8x and 3x4y and -9y6pq and pq3 and 3These, however, are not like terms
3 and 3y4x and 4yThe equation of a circle is given below. ( x + 8 3 ) 2 + y 2 = 1 (x+ 3 8 ) 2 +y 2 =1left parenthesis, x, plus, start fraction, 8, divided by, 3, end fraction, right parenthesis, squared, plus, y, squared, equals, 1 What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The center is (-8/3,0) and the radius is 1
Step-by-step explanation:
(x+8/3)^2 + y^2 = 1
We know the equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
(x- -8/3)^2 + (y-0)^2 = 1^2
The center is (-8/3,0) and the radius is 1
what is the method and answer for brainliest
Equal steps mean each number is the same distance from the previous one
From -2 to 28 is 28 units
There are 4 spaces between the numbers
28/4 = 7
Each number is in increase of 7
-2 + 7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
The third number would be 12
dalanay enlarges a photograph tahst is 3 inches long and 2 inches wide. the length of the enlarged photograph is 15 inches. what is the width of the enlarged photograph, in inches?
Answer:
10 inches
Step-by-step explanation:
Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?
Hence, L1/L2 = W1/W2
∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches
Pls help me with trig!!!
for 32 but if you understand 33 pls i need the help
I’m guessing number 32 is true, since it asks you to round to the nearest integer.
To solve this problem, use the Pythagorean Theorem, which is a^2 + b^2 = c^2, where c is the hypotenuse. The hypotenuse of the triangle is always the longest side, meaning the hypotenuse would be 15.23.
To ensure these measurements can be used in order to make a right triangle, substitute the numbers into the Pythagorean Theorem.
6^2 + 14^2 = 15.23^2.
36 + 196 = 231.9529
232 = 231.9529
Because we were asked to round, that makes the equation 232 = 232, meaning the answer is true.
The numbers -1/5 and -5 are 'negative reciprocals.' True or False?
Answer:
False
Step-by-step explanation:
The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.
-1/5 + -5= -5 1/5
Hope this helps and you understand negative reciprocals more for future problems ahead.
Find the point-slope equation for the line that passes through the points (-8,-32) and (3,1). Use the first point in your equation.
Hey there! :)
Answer:
y + 32 = 3(x + 8)
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates of the points into the equation:
[tex]m = \frac{1 - (-32)}{3 - (-8)}[/tex]
Simplify:
[tex]m = \frac{33}{11}[/tex]
m = 3.
Point-slope form is:
y-y₁=m(x-x₁)
Plug in the coordinates of the first point, as well as the slope:
y - (-32) = 3(x - (-8)
y + 32 = 3(x + 8)
Answer: y+32=3(x+8)
Step-by-step explanation:
First you need to find the slope.The slope is the change in y divided by the change in x values.
-32 - 1 = -33
-8 - 3 = -11
-33/-11 = 3 the slope is 3
and in point-slope form is like y-b= m(x-a) where b is a y coordinate and a is the x coordinate.
it could be like y-1=3(x-3) or y+32= 3(x+8)
Can any one please help me in this the teacher did not explain this it have to be in the lowest term also no decimal answer thank you please help me
Answer:
a. -5 + 3x = -41
3x = -36
x = -12
b. 7x - 4 = -2x + 11
9x = 15
x = 15/9 = 1 and 2/3
c. (-4x) / 5 = 8
-4x = 40
x = -10
d. x / 3 - 1/2 = 1/4
4x - 6 = 3 (multiply by lcm of 3, 2 and 4 which is 12)
4x = 9
x = 9/4 = 2 and 1 / 4
e. -4(6x + 1) + 3 = 11 + 2(x + 2)
-24x - 4 + 3 = 11 + 2x + 4
-24x - 1 = 2x + 15
-26x = 16
x = -8/13
Select the correct answer from each drop-down menu. Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE. m∠ABC = ° m∠BCD = ° m∠DEA = ° m∠CDE = °
Answer and Step-by-step explanation:
As it is mentoned in the question
Polygon ABCDE rotates around point F in clockwise direction to create polygon FGHIJ
And as we can see in the figure that
So we conclude that
A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°
Therefore this is the answer and the same is to be considered
Answer:
m∠ABC = 90117127°m∠BCD = 90117127°m∠DEA = 90117127°m∠CDE = 90117127°
Step-by-step explanation:
The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.
Answer:
Ok, the first step to see the behavior of this data is doing a graph of it,
So we can see that it looks like an reversed V. (at the bottom of the answer you can see the graph)
Then, we can model this with a piecewise function like:
For the first part we can take the two pairs:
if 11 am is our t = 0h
(0, 85) and (6, 93)
then the linear equation
y = a*t + b
a = (93 - 85)/(6 -0) = 8/6.
and b = 85.
then the linear equation is:
y = (8/6)*t + 85. for 0h ≤ t ≤ 6h
The second part of this equation can be modeled with the points
(6, 93) and (11, 84)
then we have:
y = s*t + c
s = (84 - 93)/(11 - 6) = -7/5
and we can find the value of c as:
93 = (-7/5)*6 + c
93 + (7/5)*6 = 101.4
then this second part is:
y = (-7/5)*t + 101.4 for 6 ≤ t ≤ 11h
then, in conclusion we have:
y = (8/6)*t + 85. for 0h ≤ t ≤ 6h
f(x) =
y = (-7/5)*t + 101.4 for 6 ≤ t ≤ 11h
Answer:
y=7.496sin(0.3243x+0.315)+73.489
Step-by-step explanation:
simply put the data into a graph and graph each equation to see if its matched
What is true about the domain and range of the function?
The graph of the function f(x) = (x +2)(x + 6) is shown
below.
у
6
The domain is all real numbers, and the range is all
real numbers greater than or equal to 4.
O The domain is all real numbers greater than or equal to
4, and the range is all real numbers.
O The domain is all real numbers such that -65x3-2,
and the range is all real numbers greater than or equal
to-4.
The domain is all real numbers greater than or equal to
4, and the range is all real numbers such that -63x3
-2.
4
N
-6 -4 +2
4
6
х
N
-2-
-4
6t
Answer:
The correct option is;
The domain is all real numbers and the range is all real numbers greater than or equal to -4
Step-by-step explanation:
A function defines an output given an input and the set of all the possible inputs to a function is the domain of a function such that there is an output, such that the domain is the set of x values which are points on the curve of the function
The set of outputs that are produced from a given input is the range of a function
The given function is f(x) = (x + 2)(x + 6)
From the curve we see that the minimum y-coordinate, f(x), value is at -4, which is the lower bound of the range, while the x-coordinate values, the domain can be seen extending past the graph sheet which from the expression for the function also (f(x) = (x + 2)(x + 6)) indicates that the x values is the set of all real numbers (on the number line)
Therefore, the correct option is;
The domain is all real numbers and the range is all real numbers greater than or equal to -4.
Answer:
The domain is all real numbers and the range is all real numbers greater than or equal to -4
Step-by-step explanation:
The U.S. Census reports Native Americans by Group of answer choices one tribe only or in combination with another tribe plus in combination with any other race. one tribe only, one tribe only or in combination with another tribe, and one tribe only or in combination with another tribe plus in combination with any other race. one tribe only. one tribe only or in combination with another tribe. one tribe only and one tribe only or in combination with another tribe
Answer:
one tribe only or in combination with another tribe plus in combination with any other race.
Step-by-step explanation:
United States Census Bureau (USCB) is the governmental agency saddled with the responsibility of providing data about the citizens of America and her economy. The Census Bureau was founded on the 1st of July, 1902 and has its headquarter in Suitland, Maryland, United States of America.
The U.S. Census reports Native Americans by one tribe only or in combination with another tribe plus in combination with any other race.
Native Americans are the indigenous people (citizens) of the United States of America and they are also known as the American Indians. The Census Bureau reports them by one tribe only such as Cherokee, Apache, Hopi, Chinook etc or in combination with another tribe such as Aleuts, Tlingit, Chenega, etc plus in combination with any other race such as Black Americans, Asian Americans, White Americans, Native Hawaiian etc.
if a 10-pound turkey costs $20.42.how much does a 21-pound turkey cost
Answer:
$42.88
Step-by-step explanation:
Let's create a proportion using the following setup:
cost/pounds=cost/pounds
We know that it costs $20.42 for a 10 pound turkey.
$20.42/10 pounds= cost/pounds
We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.
$20.42/ 10 pounds= $x/ 21 pounds
20.42/10=x/21
We want to find x, by getting x by itself.
x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.
21*(20.42/10)=(x/21)*21
21* 20.42/10=x
21*2.042=x
42.882=x
Round to the nearest cent, or hundredth.
42.88=x
x= $42.88
A 21 pound turkey costs $42.88