Answer:
2a
Step-by-step explanation:
the triangle is an isosceles triangle and in an isosceles triangle, base angles are equal, so if b = 2a( twice angle a) then c is also 2a because base angles in an isosceles triangle are equal
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Please help
I will mark brainliest
Answer the questions in the picture
Thank you :)
mass=density×volume
mass=4.7(cm³)×19.3(g/cm³)=90.71 g
9) V= width × length × heightFind the equation of the line.
Through (-8,11); perpendicular to y=9
Perpendicular lines have slope negative reciprocal to each other .
-1/0=ooEquation of line in point slope form
\(\\ \rm\Rrightarrow y-y_1=m(x-x_1)\)
\(\\ \rm\Rrightarrow y-11=\infty(x+8)\)
\(\\ \rm\Rrightarrow \dfrac{y-11}{\infty}=x+8\)
\(\\ \rm\Rrightarrow x+8=0\)
\(\\ \rm\Rrightarrow x=-8\)
Some formats of line
\(\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}\)
Please help me, ASAP tyyy
Answer:
\(531\:\text{students}\)
Step-by-step explanation:
This question implies a constant rate or proportion to estimate the number of students who may choose chocolate from a larger sample size. Therefore, we can set up the following proportion and solve:
\(\frac{59}{200}=\frac{x}{1800},\\\\x=\frac{1800\cdot 59}{200},\\\\x=\boxed{531}\)
8 divided by 3/5=
I need HELP!!!!
Answer:
.53333
Step-by-step explanation:
Answer:
13 1/3
Step-by-step explanation:
8 ÷ 3/5
~Turn 8 into a fraction
8/1 ÷ 3/5
~Copy Dot Flip
8/1 * 5/3
~Multiply
40/3
~Simplify
13 1/3
Best of Luck!
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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a town's population was 7500 at the beginning of the year 2000 and has been decreasing by 3.2 % each year thereafter.
Answer:
In 2022, the town's population is 2220.
Step-by-step explanation:
It currently the year 2022. Hence, 22 years have passed since 2000.
2022 − 2000 = 22
To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.
\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)
Then, subtract that percent of the population in 2000 from the population in 2000.
\(7500-(70.4 \,\% \cdot 7500)\)
\(= 7500 - 5280\)
\(=2220\)
What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³
Answer:
1. y = 2x + 7
Step-by-step explanation:
The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).
The average of six positive integers starting with a is equal to b. What is the average of five consecutive integers ending with b?
a)a+1
b)a-1
C)a+2
d)a+3
e)a+4
The average of the five consecutive numbers ending with b in discuss when expressed in terms of a is; Choice D; a+3.
What is the average of five consecutive integers ending with b?First, since it was given in the task content that the average of six positive consecutive odd integers starting with a is equal to b, it therefore follows that;
(a+a+2+a+4+a+6+a+8+a+10)/6 = b
6b=6a+30
b=a+5
Also, let the average of the consecutive intergers ending with b be denoted by; x.
(b+b-1+b-2+b-3+b-4)/5 = x
=(5b-10)/5
=b–2
The average, x=b – 2 (where b = a-5)
Ultimately, the value of the required average is; = a+5-2 = a+3.
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If a business borrows $100,000 and repays $129,750 in four years, what is thesimpleannual interest rate?
The formula for determining simple interest is expressed as
I = PRT/100
where
P = principal or initial amount borrowed
R = interest rate
T = time in years
I = interest
If $100000 was borrowed and $129750 was repaid, it means that the interest is
I = 129750 - 100000 = 29750
T = 4 years
P = 100000
Thus, we have
29750 = (100000 * R * 4)/100
29750 = 4000R
R = 29750/4000
R = 7.44
The interest rate is 7.44%
The main span of Bridge A (2800 feet) is _____ percent shorter than the main span of Bridge B (4500 feet).
The Bridge A' main span is 60% shorter than the span of the Bridge B.
What is defined as the percentage difference?The percentage is the difference between two parameters divided by the average of those values.
It is used to express the distinction between two related data as a percentage. For instance, you can evaluate the price of a computer this year with the cost of a laptop last year.Now, as per the given question;
Bridge A' span = 2800 feet.
Bridge B' span = 4500 feet.
Percentage difference in span length :
[(difference in span) / span of B] × 100%
Difference in span = 4500 - 2800 = 2700
Now, calculate the percentage difference;
Percentage difference = (2700 / 4500) × 100%
Percentage difference = 0.6 × 100% = 60.0 %
Therefore, the main span of the Bridge B is 60% longer than the main span of bridge A.
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find the cost of 47.2 m cloth if the cost of 1 m cloth is $33.90
Answer: 1600.08
Step-by-step explanation:
47.2m*33.90
please help! (its in the pic) thank you! :)
Plot the following points by hand or using an online graphing calculator. What is the function that best fits the points?
(-2,-11), (-1,-8), (0, -5), (1,-2), (2, 1)
Exponential
Linear
Quadratic
Answer:
Linear
Step-by-step explanation:
The trend is a straight line so linear
The trend is not parabola type so not quadratic
The general equation is
y=mx+bThe equation of line is y=3x-5Answer:
Linear
Step-by-step explanation:
As the points lie on a straight line, it can be best described as a linear function.
Table :
\(\left[\begin{array}{ccc}x&y\\-2&-11\\-1&-8\\0&-5\\1&-2\\2&1\end{array}\right]\)
Graph :
A small country had a population of 7.1 x 10° in 1990. Since then, the original population has doubled, and an additional 7.7 x 1010 people have immigrated into the country. What is the population of the country now? The population is A x 10 where
Answer:
\(21.9 * 10^{10}\) Population of the Country Now .
Step-by-step explanation:
According to the Question,
Given, A small country had a population of \(7.1 * 10^{10}\) in 1990. Since then, the original population has doubled Thus The Population as of Now is \(2*7.1 * 10^{10} =\) \(14.2 * 10^{10}\) And \(7.7 * 10^{10}\) people have immigrated into the country Thus, The New Population of the Country is \(14.2 * 10^{10} + 7.7 * 10^{10} =\) \(21.9 * 10^{10}\) .The population of a rural city follows the exponential growth model P(t)=3400^0.0371t where t is the number of years after 1986 . a) Use this model to approximate the population in 2030.
After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.
Using the given exponential growth model, we have:
\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)
Therefore, the population of the rural city in 2030 is approximately 11,014.18.
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What is the value of x in the equation 4(-5 + x) = -4?
Answer:
x=4
Step-by-step explanation:
First, simplify:
-20 +4x =-4
Then, solve
4x=16
x=4
Answer:
The value of x would be 4.
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why
Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5
PLEASE HELP‼️ WILL MARK BRAINLIST‼️‼️
Answer:
A = 28 cm²
Step-by-step explanation:
area of square = 4 × 4 = 16 cm²
area of trapezium = \(\frac{1}{2}\) h (b₁ + b₂ )
where h is the height and b₁ , b₂ the parallel bases
here h = 2 , b₁ = 8 , b₂ = 4
area of trapezium = \(\frac{1}{2}\) × 2 × (8 + 4) = 1 × 12 = 12 cm²
area of the logo (A) = 16 + 12 = 28 cm²
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
help!Tytytytytyyttytttyyy
Answer:
the answer is 42 because your dividing 7 by 9
Step-by-step explanation:
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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Which choice shows 30 + 10 + 20 rewritten correctly using the commutative property and then simplified correctly?
A.30 + 20 + 10 = 50 + 10 = 60.
B.30+10+10+10=40+10+10=50+10=60
C.30+20+10=50+30=80
D.30+10+10+10=40+10=50
Answer:
A. 30+20+10=50+10=60
Step-by-step explanation:
The commutative property is the property of which you can rearrange the numbers around but the answer stays the same. From the original equation, you moved 20 and 10 around and added 30+20=50 then, you add 10 plus that 50 since you haven't done anything to the 10 yet. So, 50+10=60.
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heyo, please don't ignore! i really need help on these questions
Answer:
times
21.12
28
I will pay 11.20 and get back .20 for the half(.5) of a drink box I can't buy
Step-by-step explanation:
simplify ( 3/4)2
A. 3/4
B. 6/8
C. 9/16
D. 2 1/4
Answer:
answer is C
Step-by-step explanation:
(3/4)(3/4)= 9/16
Melanie runs 5miles a day. How many miles will her brother run in one week?
6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
Which table of values can be defined by the function y=6x-2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
i’ll clean the screen later.
Answer:
It’s B don’t have time to explain but it’s b
Step-by-step explanation:
Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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