Answer:
$7
Step-by-step explanation:
x + y = 16
5x - 4y = 12
Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
Identify the a, b and c terms from the equation 3x^2+5x-2.
Answer:
a - 3
b - 5
c - -2
Step-by-step explanation:
The quadradic formula is:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
When:
[tex]ax^2+bx+c[/tex]
This is the standard form of a quadradic equation.
We have the equation:
[tex]3x^2+5x-2\\\\[/tex]
Recall the standard form.
'3' is in a's place, '5' is in b's place, and '-2' is in c's place.
Hope this helps you.
1 point
Picking a marble from a bag with 5 green marbles and 3 blue marbles, not
replacing it, and then picking another marble from the same bag are:
Independent events
Dependent events
Answer:
dependant
Step-by-step explanation:
What is the greatest common factor of 45x^3, 24x^2, and 16x?
Answer:
[tex]\huge\boxed{\sf GCF = x}[/tex]
Step-by-step explanation:
Firstly we'll factorize the terms:
45x³ = 3 * 3 * 5 * x * x * x
24x² = 2 * 2 * 2 * 3 * x * x
16x = 2 * 2 * 2 * 2 * x
The factor which is common in all three terms is:
= x
Hence GCF = x
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Please hurry this is 7th grade hon
Answer:
1. place the circle on -1
2. open circle
3. Left
Step-by-step explanation:
PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.
Answer:
25 and 13
Step-by-step explanation:
25 - 13 = 12
25 + 2 = 27
13 -10 =3
27 is 9 times larger than 3
Find the equation of the line through point (4,−1) and perpendicular to y=x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Can someone help me please
Answer:
the answer is yes.
Step-by-step explanation:
Answer:
It is a which is (-2,2).............
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
draw the graph of y=3-1/2x
A cube has a surface area of 126 feet. What is the area of one face?
Answer:
21 square feet
Step-by-step explanation:
A cube has 6 faces, therefore 126/6 = 21 sq/ft the area of 1 face
The area of one face of a cube is 21 feet.
What is the surface area of cube?Surface area of cube is the sum of areas of all the faces of cube, that covers it.
The formula for surface area is equal to six times of square of length of the sides of cube.
A cube has a surface area of 126 feet.
The area of one face is given by;
[tex]\rm Area \ of \ one \ face=\dfrac{Surface \ area}{Total \ number \ of \ faces}\\\\ Area \ of \ one \ face=\dfrac{126}{6}\\\\ Area \ of \ one \ face=21[/tex]
Hence, the area of one face of a cube is 21 feet.
Learn more about cube here;
https://brainly.com/question/22241530
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A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?
Answer:
j = $15
t = $5
Step-by-step explanation:
This question can be solved using simultaneous equation
let the price of t-shirt be represented with t
let the price of jeans be represented with j
From the question, these two equations can be derived
2j + 6t = 60 eqn 1
4j + 3t = 75 eqn 2
multiply eqn 1 by 2
4j + 12t = 120 eqn 3
Subtract eqn 2 from 3
9t = 45
divide both sides by 5
t = 5
Substitute for t in eqn 1
2j + 6(5) = 60
2j = 30
j = 15
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.
Answer:
jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj
first come first served brainiest
Answer:
5 yard
Step-by-step explanation:
$834 at 7.25% for 1 1/2years
Which values are solutions to the inequality below?
Check all that apply.
Answer:
A. B. D.E.
Step-by-step explanation:
I just put it in a calculator and see if the answer was smaller or equal to 6.
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS
Answer:
4/2
Step-by-step explanation:
Find the value of x. Show your work.
Answer:
54=x
Step-by-step explanation:
90=43+(x-7)
47=x-7
54=x
symbolab is great for math equations btw
A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop when it has matured. He decides to take a simple random sample of the crop. Which of the following correctly labels the population?
00–99
01–99
0–99
1–100
Answer:
00–99
Step-by-step explanation:
I got it Correct
The correct label for the population would be: 1-100 as per the given scenario.
What is population?In statistics, a population refers to the entire group of individuals, objects, or measurements that the researcher is interested in studying.
In this scenario, the population refers to the entire group of items or people that the farmer is interested in studying.
In this case, the population is the total number of ears of corn produced by all 100 seeds sown by the farmer.
As a result, the population's correct label would be: 1-100. Because the farmer is interested in the yield of all 100 seeds, the population includes all possible outcomes of the experiment, ranging from one to one hundred ears of corn.
Option A, B, and C do not include all possible outcomes, whereas option D includes the number 0, which is not an option in this scenario.
Thus, the answer is 1-100.
For more details regarding population, visit:
https://brainly.com/question/27991860
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simplify by pulling out the GCF from the numerator and the dominator? 6/8
Answer:
3/4
Step-by-step explanation:
The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2
What are the coordinates of the vertex
The value of
(4-1)+a? --- 2 2(0,0)
when a = 2 and b= -1 is
Answer:
it's probably really hard to read and out of order but the answer is 1/3
one third
identify the graph of 2x^2 + 4xy + 4y^2 = 0 then find theta to the nearest degree.
Answer: 2x2 + 4xy + 4y2 = 0
2 xx + 4xy + 4yy = 0
...xx + 2xy + y*y + yy = 0
(x + y)^2 + yy = 0
if x is a constant
... 2yy + 4xy - 2xy + xx = 0
(2yy + 4xy + 2xx -2xx) - 2xy + xx = 0
2(y + x)^2 - 2xx - 2xy + xx = 0
2(y + x)^2 - xx - 2xy = 0
2(y + x)^2 - xx - 2xy +yy - yy = 0
(x + y)^2 + yy = 0
x = i*y - y
if x = r cos a
y = r sin a
cos a )^2 + cos a sina + sin a)^2 + sin a)^2 = 0
cos a sin a + sin a)^2 = -1
Step-by-step explanation:
Answer:
Ellipse; -32deg
Step-by-step explanation:
Got it right on Edge
Can someone solve for x and y
Answer
Calculator.net
i hope you use this it will help a lot
Question 1: To enter their home, the Cepeda family types in a 4 digit
code. How many codes are possible? *
40
10
1,000
10,000
So the first digit could be 0-9.
second is the same 0-9
And the 3rd 0-9 and lastly the 4th 0-9
There is a [tex]\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}[/tex] chance that they will get it right by guessing.
So that means a [tex]\frac{1}{10000}[/tex] chance that they will get it right.
So their are 10000 possible codes.
8 folders cost $25.20. Write an equation to determine the cost of 3 folders.
Answer:
9 dollars and 45 cents
Step-by-step explanation:
First find the price of one folder.
$25.20 divided by 8 = $3.15
Then, multiply by 3.
$3.15 x 3 = $9.45
(I accidentally used 3.18 instead of 3.15. Someone corrected me.)
Answer:
25.20 divided by 8 = $3.15 x 3 = 9.45
Step-by-step explanation:
used a calculator, Hope this helps!
Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5