Answer:
x = 8 and y = -4
Step-by-step explanation:
3x + 4y = 8 (call this equation '1')
x - y = 12 (call this '2')
multiply '2' by 3:
3x - 3y = 36 (call this '3')
subtract '1' from '3':
(3x - 3y = 36) - (3x + 4y = 8)
0x + -7y = 28
-7y = 28
y = -4.
sub that back into '1':
3x + 4y = 8
3x + 4(-4) = 8
3x - 16 = 8
3x = 8 + 16 = 24
x = 8.
sub both y =-4 and x =8 into '2' to check if everything adds up:
x - y = 12
8 - -4 = 8 + 4 = 12
so x = 8 and y = -4
Find the Value of X.
Answer:
\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)
jeff volunteers his time by working at an animal shelter. each year he works for total of 240 hours. so far this year, he has worked 97 hours . which equation will solve for how many more hours (h) jeff will volunteer for?
Answer:
h=240-97
Step-by-step explanation:
Daudi buys a flat for $70 000 and sells it for $85 000. Aminata buys a house for $192 000 and sells it foz $230 000. Who makes the larger percentage profit and by how much?
Answer:
Daudi buys a flat for 70,000 , this is the cost
sells for 85,000, this is the sales price
profit= Sales-Cost
profit= 85,000-70,000
= 15,000
Percentage profit = 15,000/70,000 × 100
= 21.43%
Aminata buys a house for 192,000
sells for 230,000
profit= Sales-Cost
Profit = 230,000- 192,000
= 38,000
percentage profit= 38,000/ 192,000 × 100
= 19.79%
Daudi makes the larger percentage profit by 1.64%
Given MB = PB and m arc PB = 27°, find the m∠PBM
The measure of the angle m∠PBM is calculated as; 54°
How to find the measure of the interior angle of an arc?An inscribed angle is defined as an angle with its vertex on the circle.
The measure of an inscribed angle is half the measure the intercepted arc.
The formula is:
Measure of inscribed angle = 1/2 × measure of intercepted arc
Now, we are given that;
MB = PB
Arc PB = 27°
Thus;
Arc MBP = 2 * 27°
Arc MBP = 54°
Thus, using the Measure of inscribed angle we have;
∠PBM = 27 * 2 = 54°
Read more about interior arc angle at; https://brainly.com/question/25871159
#SPJ1
Last year, Lebron James made $22, 970,000. This year he made $26,440.000. How much did Lebron James make from both years together?
Answer:
49,410,000
Step-by-step explanation:
because calculator
4. The R and D unit at a major auto-makers sampled 36 of the new Model JZ-5 sport cars. They ran each car for one hour on a test track. For the 36 cars the
mean mpg (miles per gallon) was x = 47.8 with a standard deviation of 4.8 mpg.
a. Construct a 98% confidence interval for the mean mpg for the entire year's production of the Model JZ-5.
b. State the meaning of the interval in the context of the problem.
100 points
Answer:
b
Step-by-step explanation:
if u do the math, everything makes sense.
Please I could really use some help on this (50 points, 5 stars and Brainliest)
Aunt Ga Ga gave you $5,500 to save for college. You deposit the money in a savings account that earns 4% annual interest, compounded quarterly. (Show your work for each question)
a. Write an exponential function to model this situation. Define your variables.
b. What will the value of the account be after 2 years?
c. how long would it take the account to be worth $10,000?
Answer:
(a)\(A(n)=5500(1.01)^{4n}\)
(b)$5955.71
(c)15.02 years
Step-by-step explanation:
For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:
\(A(n)=P(1+\dfrac{r}{k})^{nk}\)
(a)Aunt Ga Ga gave you $5,500 to save for college.
P=$5,500
Annual Interest, r=4%=0.04
Since interest is compounded quarterly, Number of Periods, k=4
Therefore, an exponential function modeling this situation is:
\(A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}\)
(b)After 2 years, i.e. when n=2
\(A(2)=5500(1.01)^{4*2}\\=\$5955.71\)
(c)When A(n)=$10000, we have:
\(10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.\)
What is 5^8 plus 9375?
Answer:
400000
Step-by-step explanation:
5^8 = 390625
390625 + 9375 = 400000
Answer:
400,000
Step-by-step explanation:
We solve for 5^8 first,
this means that 5 is being multiplied by itself 8 times.
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
Now we add this to 9,375:
390,625 + 9,375 = 400,000
An investor invested a total of $3,300 in two mutual funds. One fund earned a 4% profit while the other earned 2% profit. If the investors total profit was $94, how much was invested in each mutual fund
Answer:
.04x + .02($3,300 - x) = $94
.04x + $66 - .02x = $94
.02x = $28
x = $1,400 in 4% fund
$3,300 - $1,400 = $1,900 invested in 2% fund
A right triangle has the following vertices (7,-3), (4,-3), (4,9) find the area of a right triangle
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
36 square units
Is this valid or not? If you eat a blueberry then you turn blue and Violet ate a blueberry, therefore Violet turned blue.
Answer:
no violet turned violet and so you would turn violet because the inside of a bluberry is more violet than it is blue
Step-by-step explanation:love yall please give me brainliest
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
For similar question on cuboid.
https://brainly.com/question/29568631
#SPJ8
choose the general algebraic representation (notation) for transforming pentagon vwxyz into pentagon qrstu.
The transformation function can be represented as vwxyz \($\rightarrow$\)qrstu = (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u).
This algebraic representation of the transformation of pentagon vwxyz into pentagon qrstu is using the notation of a function. A function takes an input (in this case, the coordinates of pentagon vwxyz) and produces an output (in this case, the coordinates of pentagon qrstu). This transformation can be represented by the notation (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u). This notation means that the coordinates (v,w,x,y,z) are being transformed into the coordinates (q,r,s,t,u). This notation is a concise way of expressing the transformation of pentagon vwxyz into pentagon qrstu. It is important to note that the transformation itself is not specified; the notation is simply used as a way of representing the transformation.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions.
Required:
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?
Part A
For Todd's class, we have this given info:
mu = 70.6 = population mean of math scoressigma = 11.9 = population standard deviation of math scoresCompute the z score for x = 74.6
z = (x-mu)/sigma
z = (74.6 - 70.6)/(11.9)
z = 0.34 approximately
Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.
Answer: 0.34======================================================
Part B
For Garret's English class, we have:
mu = 63.7sigma = 8.6Compute the z score for x = 68.8
z = (x-mu)/sigma
z = (68.8 - 63.7)/(8.6)
z = 0.59 approximately
Answer: 0.59======================================================
Part C
Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.
Answer: Garret did relatively better5. How far can a person run in 15 minutes if he or she runs at an
average speed of 16 km/ty? (HINT: Remember to convert minutes to
hours.)
Now
Distance=Speed ×TimeDistance=16(1/4)Distance=4kmAnswer:
4 km
Step-by-step explanation:
QuestionHow far can a person run in 15 minutes if he or she runs at an average speed of 16 km/h?
Solution1 hours = 60 minutes
\(\implies \sf 16 km/h = \dfrac{16\:km/h}{60\:min}=\dfrac{4}{15} km/min\)
If the person runs for 15 minutes, then:
\(\implies \sf total\:distance\:run=\dfrac{4}{15}\:km/min \times 15\:min=4\:km\)
Molly takes the subway to see her best friend a few times a week. The amount left L can be represented by this equation: L=d-4.50t, where d is the amount deposited on the subway card and t is the number of times a subway card was used.
Which equation can be used to find the number of times a subway card was used?
The equation that can be used to find the number of times a subway card is used is
t = (d - L) / 4.50
Where,
L = amount left.
d = amount deposited on the subway card.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
L= d - 4.50t
where,
L = amount left.
d = amount deposited on the subway card.
t = number of times a subway card was used.
Now,
Solve for t.
L = d - 4.50t
Add 4.50d on both sides.
L + 4.50t = d
Subtract L on both sides.
4.50t = d - L
Divide 4.50 on both sides.
t = (d - L) / 4.50
Thus,
The equation that can be used to find the number of times a subway card is used is
t = (d - L) / 4.50
Where,
L = amount left.
d = amount deposited on the subway card.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
Please solve with explanation (high points)
Answer:
∠ACB = 24.35°
Step-by-step explanation:
∠ACB basically means ∠C
tangent = opposite / adjacent
tanx = 5.62 / (3.54 + 3.86 + 5.02)
you are adding all these to get the total of the base length
tanx = 5.62 / 12.42
x = arctan(5.62 / 12.42)
x = 24.34654°
How find the length of a hypotenuse triangle
Answer:
Step-by-step explanation:
A hypotenuse is calculated on a triangle with a right angle. The hypotenuse is the side opposite the sides with the right angle. The equation is a^2 + b^2=c^2 where the hypotenuse is the square root of c.
Which rigid transformation would map TriangleABC to TriangleEDC? a rotation about point B a reflection across the line containing CB a reflection across the line containing AC a rotation about point C
Answer:
d
Step-by-step explanation:
Answer: D: a rotation about point C.
Step-by-step explanation:
i got a 100%
Question 4 of 10
Which situation best illustrates the concept of absolute advantage?
A. A German factory can build more sports cars than foreign factories.
B. Most of the world's largest companies have operations in many different countries.
C. The total value of Japanese imports is greater than the total value of the country's exports.
D. A French restaurant buys food from nearby farms to support the local economy.
Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.
Absolute advantage is the potential of an individual, a company, or a country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.
A factory in German has an absolute advantage because it can produce more sports car than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.
Therefore, the correct answer is option A.
Learn more about absolute advantage here :-
https://brainly.com/question/27956614
#SPJ4
PLEASE HELP ME 100 points !!
the answer to your first quesion is 2.625 pounds and the other one is .6 gallons of water
ASAP NEDDDD HELPPPPPP
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
To learn more on translations: https://brainly.com/question/12463306
#SPJ1
The
graph of a quadratic function
Find the domain and the range.
with vertex (-3, 4) is shown In the figure below.
Step-by-step explanation:
domain: x is any value, ⇒ x∈(-∝;+∝);
range: y is not greater, than 4, ⇒ y∈(-∝;4].
If you roll a die, what is the probability of not
rolling a 4? Write your answer as a fraction.
Step-by-step explanation:
NOT rolling a four means out of six posssible rols you can roll a 1.2.3.5 or 6
or 5 / 6
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answer:
28
\(\frac{7}{2} \\\\\frac{x}{8}\)
\(2 * x = 8\\x = 4\)
\(7 * 4 = x\\x = 28\)
PLZZ GIVE BRAINLIEST
Based on the pattern, what are the next two terms of the sequence?
Answer:
33 , 39
Step-by-step explanation:
given
9 , 15 , 21 , 27
there is a common difference between consecutive terms, that is
15 - 9 = 21 - 15 = 27 - 21 = 6
to obtain terms in the sequence add 6 to the preceding term
27 + 6 = 33
33 + 6 = 39
the next two terms are 33 and 39
Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1
Answer:
B. x = 0
Step-by-step explanation:
we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates
Example :
A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection
\(y_{A}=2=y_{A^{\prime }}\)
\(x_{A}=-2=-x_{A^{\prime }}\)
Then the reflection is across the y-axis
Or The equation of the y-axis is x = 0
What number is 133% of 200
Rewrite 133% as a decimal by dividing by 100:
133% = 1.33
Now multiply:
200 x 1.33 = 266
Answer: 266
133% of 200 = 266
Explanation:133 of 200 can be written as:
133/200
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100
Multiply both numerator & denominator by 100 Therefore, the answer is 66.5%If you are using a calculator, simply enter 133÷200×100 which will give you 66.5 as the answer and as we know 66.5 is also known as 226.
source:
https://answers.everydaycalculation.com/percent-is/133-200
To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30
6 or 10
16 or 30
30 only
6, 10, or 30
Answer:
6,10,or 30 is your answer