Answer:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Answer:
6 cm by 18 cm
Step-by-step explanation:
use x and x+12
2(x) + 2(x+12)=48
2x +2x+24=48
4x+24=48
4x=24
x=6 and (6+12)=18
:)
Reflections of Shapes
Graph the image of the figure using the transforma
1) reflection across the x-axis
A graph of the image of the figure after a reflection across the x-axis is shown below.
What is a reflection over the x-axis?In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).
This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.
By applying a reflection over or across the x-axis to triangle GLQ, we have;
(x, y) → (x, -y)
G (3, 4) → (3, -(4)) = G' (3, -4)
L (1, 2) → (1, -(2)) = L' (1, -2).
Q (4, -1) → (4, -(-1)) = Q' (4, 1)
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In 2018, there were 238 Republicans, and 201 Democrats in the
House of Representatives. Find the percentage of Democrats in
the House of Representatives in 2018.
The percentage of Democrats in the House of Representatives in 2018 is 45.79%
Finding the percentage of Democrats in the House of Representatives in 2018.From the question, we have the following parameters that can be used in our computation:
238 Republicans, and 201 Democrats in the House of Representatives
This means that
Total = 238 + 201
Evaluate the sum
Total = 439
The percentage of Democrats in the House of Representatives in 2018 is then calculated as
Percentage = 201/439 * 100%
Evaluate
Percentage = 45.79%
Hence, the percentage is 45.79%
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I need help asap please
Answer:
17.5
Step-by-step explanation:
Two points which lie on the line are : (0, 0) and (4, 70)
Constant of proportionality :
y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5a salesman earns 25% commission he sells amount to 2450 shillings after giving a buyers 2% discount . calculate his commission. Suppose all the goods were sold at marked price , what would be is earnings?
Answer:
Step-by-step explanation:
A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings
Commission = 612.50 shillings
B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:
2,450.00 shillings = X - X * 2% = X - 0.02 X --->
------> 0.98 X = 2,450.00 shillings
------>X= 2,450.00 / 0.98
------> X = 2,500.00 shillings
NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings
NEW COMMISSION = 625 shillings
The ratio of fiction to non-fiction books in a school library is 3 to 5. If there are 4200 books in the library, how many of the books are non-fiction?
Number of non-fiction books in the library is 2625.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that, ratio of fiction to non fiction books = 3/5
For a constant k,
number of fiction books = 3k
number of non fiction books = 5k
Total number of books = 8k
Given that total number of books = 8k
8k = 4200
k = 4200 / 8
k = 525
Number of non fiction books = 5k = 5 × 525 = 2625
Hence there are 2625 non fiction books in the library.
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does the ordered pair (-1, -9) satisfy the equation y=7-2x
Answer:
No
Step-by-step explanation:
In order to solve this, we plug in the values for x and y. Remember that x = -1 and y = -9
-9 = 7 - 2(-1)
-9 = 7 + 2
-9 ≠ 9
What is the remainder when 7842 is divided by 176
Answer: 5 or 55
Step-by-step explanation:
The remainder is 98 when 7842 is divided by 176 after using the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have two numbers:
7842 and 176
7842 is divided by 176
Mathematically,
= 7842 ÷ 176
We can write the above number expression in the form of a fraction:
= 7842/176
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.
The remainder will be:
Quotient = 44
Remainder = 98
Thus, the remainder is 98 when 7842 is divided by 176 after using the arithmetic operation.
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The graph of the function f(x) = -(x+3)(x-1) is
shown below.
-6
-4 -2
6
A
2
-2
4
-6
2
4
6 X
What is true about the domain and range of the
function?
O The domain is all real numbers less than or equali
to 4, and the range is all real numbers such that -31
≤x≤ 1.
The domain is all real numbers such that-3≤x≤
1, and the range is all real numbers less than or
equal to 4.
The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
The domain is all real numbers less than or equal
to 4, and the range is all real numbers.
Using the concepts of domain and range of a function, the correct statement regarding the graph of the function f(x) = -(x + 3)(x - 1) is given by:
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.The graph of f(x) = -(x + 3)(x - 1) is given at the end of the answer, hence:
The domain is all real values, as the function keeps going to infinity.The range is all values of y that are less than or equal to 4.Hence the correct statement is:
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
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PLz answer for brainliest and 5 stars PLease really need help
Step-by-step explanation:
3, 2
\(2 \frac{3}{4 } \)
2.5
2.25
The area of circles
Answer:
Formula for the area of a circle;
A = π\(r^{2}\)Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.
Plug in the radius into this formula:-
A = π\(r^{2}\)
Note: I will be using 3.14 as pi(π).A = 3.14(4^2)
A = 3.14(16)
A = 50.24 centimetres is the area for this circle.
Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year’s graduates:Size of donation$0$10$25$50Proportion of calls0.450.300.200.05Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable x = amount of donation for the population of last year’s graduates of this university.a. Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates.b. What is the most common value of x in this population?c. What is P(x ≥ 25)?d. What is P(x > 0)?
Part a: The four layers can be stacked up to 1,000.
Part b: Most common value of x in this population $0 gift .
Part c: P(x ≥ 25) = 0.30.
Part d: P(x > 0) = 0.60
Explain the term probability?The probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging form 0% to 100% can be used to describe probabilities.Part a: It is also anticipated that the students will donate nothing, or around 1000 x 0.40 = 400 of both.
To donors 10, about 1000 x 0.30 = 300.
1000 x 0.25 = 250 donors who gave $25, and 1000 x 0.05 = 50 donors who gave $50.
Its frequencies would approximate the likelihood but not exactly.
The four layers can be stacked up to 1,000.
Part b:
A $0 gift is the population's key value of x in point b, and 40% of students make this choice.
Part c: P(x ≥ 25)
P(x ≥ 25) = 0.25 + 0.05
P(x ≥ 25) = 0.30
Part d: P(x > 0)
P(x > 0) = 1 - P(x = 0)
P(x > 0) = 1 - 0.40
P(x > 0) =0.60
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 which expression is equivalent to 6^3 x 6 1/4?
1. 6 11/4
2. 6 13/4
3. 6 3/4
4. 6
Answer:
number 3 I think I'm not sure
Which number is a factor of 16 but not a multiple of 8???
Answer:
the answer to the question is 4
Step-by-step explanation:
Select the correct answer. Solve the following equation for x. x2 - 36 = 0
Answer:
x=18 or x=6
Step-by-step explanation:
2x=36
x=18
if it was x^2 then
x^2=36
x=6
Do anyone know the answer?
Answer:
1. 13
2. 7
3. 7
4. 21
HELP!! URGENT!!
Find the perimeter of the triangle. Simplify your answer.
The expression that represent the perimeter of the triangle is 3d² - 4d + 1.
What is the perimeter of the given triangle?The perimeter of any two-dimensional figure is simply the distance around the figure.
Hence, the perimeter of the triangle is the sum of all its 3 side lengths.
From the diagram:
Side length 1 = ( d² + 3 )
Side length 2 = ( 4d² + 3d - 2 )
Side length 3 = ( -2d² - 7d )
Hence, the perimeter of the triangle will be:
Perimeter = side length 1 + side length 2 + side length 3
Plug in the expressions
Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )
Collect and add like terms:
Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d
Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2
Perimeter = 3d² - 4d + 1
Therefore, the perimeter is 3d² - 4d + 1.
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Please help me with this I need the help
Mary and Jose bought the same items at a store, but they bought a different number ofitems. Mary bought 8 cherry trees and 4 rose bushes for $120. Jose bought 6 cherry trees and 3rose bushes for $90.
Explanation
We are given the following information:
• Mary bought 8 cherry trees and 4 rose bushes for $120.
,• Jose bought 6 cherry trees and 3 rose bushes for $90.
We are required to determine
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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You need 3 sticks of butter for every 24 cookies you bake. If you use 5 sticks of butter, how many cookies do you bake
Help pls
Stuck on this question
Answer:
x = 35
Step-by-step explanation:
since the figures are similar then the ratios of corresponding parts are in proportion, that is
\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )
2x = 7 × 10 = 70 ( divide both sides by 2 )
x = 35
Does this picture indicate that < JAC =
Answer:
No
Step-by-step explanation:
<JAC = 93
< DBE = 90
The two angles are not equal
write balanced chemical equation for the process of photosynthesis giving the physical state of all the substances involved in the conditions of the reaction
Answer:
The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation:
could u help me
with this
Answer:
P = 7
Step-by-step explanation:
46+8=54
54-5=49
49÷7=P
Nancy works at a health club. She notices that the clients who run on the track for a shorter period of time go a
shorter distance. If this is a causal relationship, identify the explanatory and response variable.
Explanatory Variable:
Response Variable:
The explanatory variable is the clients while the response variable is change in duration.
What is a causal relationship?A causal relationship is said to exist between variables whereby the occurrence of an event is as a result of another event.
In a causal relationship between variables, a value may represent explanatory variable while another value may represent a response variable.
An explanatory variable is the variable where observation of changes are being made such as the clients while the response variable are the outcome of the observation such as the duration of the run by each client.
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Find the measure of angle x.
The value of x in the triangle as shown in the image is 39°.
What is a triangle?
A triangle is a polygon with three sides having three vertices.
The sum of the angles in a triangle is 180°
To calculate the value of x , we use the formula below
Formula:
a+b+c = 180°Where:
a = x°b = 109°c = 32°Substitute these values into equation 1
x+109+32 = 180x+141 = 180x = 180-141x = 39°Hence, the values of x is 39°.
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Answer:
x = 39°
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ 109° + 32° + x = 180°
Then the value of x will be,
→ 109° + 32° + x = 180°
→ 141° + x = 180°
→ x = 180° - 141°
→ [ x = 39° ]
Therefore, x measures 39°.
Corporate bonds from Dagofi Radar are selling at 88.354, bonds from Chambers Translation are selling at 112.894,
and bonds from Essentia Inc. are selling at 96.262. If Roger wants to buy two bonds with a par value of $1,000 each
from Dagofi Radar, five bonds with a par value of $500 each from Chambers Translation, and four bonds with a par
value of $1,000 each from Essentia Inc., how much can he expect to spend?
a. $8,439.91
b. $8,500.00
C. $2,975.10
d. $9,343.97
Answer:
(A) $8,439.91
Step-by-step explanation:
Just took test
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
3
Step-by-step explanation:
because is a hcsbjmcscin C d
Answer:
the right answer is x = 3 and x= -1/2
Step-by-step explanation:
I took the test.
Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. The width of the original room is 4m and the length of the original room is 4m. If the new room adds X to the length, what is the new expression for the new area? How many square meters has Megan's room increased? Explain how you solved the new area.
Answer:
new area = 7m (length) x 4m (width) = 28; an increase of 12 sq meters
Step-by-step explanation:
Original area must have been 16 because both the length and width were 6 meters.
175% of 16 is 12, meaning the length must be increased from 4 to 7 to get 28 when multiplied by a width of 4m
Before starting to play the roulette in a casino you want to look for biases that you can exploit. Youtherefore watch 100 rounds that result in a number between 1 and 36 and you count the number ofrounds for which the result is odd. If the count exceeds 55, you decide that the roulette is not fair.Assuming that the roulette is fair, find an approximation for the probability that you will makethe wrong decision.
Answer:
\(P(n>55)=0.1357\)
Step-by-step explanation:
From the question we are told that:
Sample size n=100
Sample space n'=36
Generally the equation for the mean number of times odds appears is mathematically given by
\(\=x_o=hp\)
\(\=x_o=100*0.5\)
\(\=x_o=50\)
Generally the equation for standard deviation is mathematically given by
\(\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}\)
\(\sigma=5\)
Therefore probability to make wrong decision P(n>55)
\(P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86\)
\(P(n>55)=0.1357\)
An approximation for the probability that you will make the wrong decision is 0.1587.
ProbabilityS=Number of time that the result was odd
n=100
p=0.5
Hence:
E[S]=100×0.5
E[S]=50
Standard deviation=√100×0.5×0.5
Standard deviation√25
Standard deviation=5
Using normal approximation to the binomial
P(S≥55)=P(S-50/5 ≥ 55-50/5)
P(S≥55)=1-P(z ≤ 1)
P(S≥55)=1-0.8413
P(S≥55)= 0.1587
Inconclusion an approximation for the probability that you will make the wrong decision is 0.1587.
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