Answer:
x = 1; y = 2
Step-by-step explanation:
To find x:
Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.
Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get x=1.
To find y:
You can substitute 1 for x in either equation. I will use (5x+y=7).
Substitute the 1 for x: 5(1)+y=7
Simplify: 5+y=7
Put like terms on the same side by subtracting 5 from both sides: y=2
Check:
6(1) + 3(2) = 12
6 + 6 = 12
12 = 12 - this is right
5(1) + (2) = 7
5 + 2 = 7
7 = 7 - this is right
Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have?
Answer:
14 dimes and 4 quarters
Step-by-step explanation:
x= number of dimes
y=number of quarters
x-10=y
0.10x+0.25y=2.40
substitute for y
0.10x+0.25(x-10)=2.40
0.35x-2.50=2.40
0.35x=4.90
x=14
y=4
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. (10 points)
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, the intersection point.
We can see it is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early.
A coin is tossed and six sided die numbered 1 through 6 is rolled. Find the probability of tossing a tail and then rolling a number greater than 1.
Answer:
5/12
Step-by-step explanation:
A coin has two faces (H, T)
n(S) = 2 (sample space)
If it is tossed and a rail is gotten,
n(E) = 1 (event)
Probability of tossing a tail = n(E)/n(S)) = 1/2
If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}
n(S) = 6
Number greater than 1 are the evens E = {2, 3, 4, 5, 6}
n(E) = 5
pr(rolling a number greater than 1) = 5/6
Hence the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6
= 5/12
please help i’m so confused, it’s geometry!
Answer:
The correct answer is (-1,-3)
Step-by-step explanation:
its right i think lol
Find the missing side. Round to the nearest HUNDRETH.
*
10 points
X
240
12
5.34
6.98
O
12.42
5.25
Answer:
A. 5.34
Step-by-step explanation:
Reference angle = 24°
Opposite = x
Adjacent = 12
Thus, applying trigonometric ratio, we have:
tan (24) = x/12
Multiply both besides by 12
12*tan (24) = x
x = 5.34 (nearest hundredth)
Help I don’t know the answer
Answer:
the last one
Step-by-step explanation:
the input cannot be negative
What is the area of the arrow shown
Answer:
Step-by-step explanation:
a b c d
How tall would the lighthouse be?...
Answer:
122.6 m
Step-by-step explanation:
Shadow cast by the man = 3.1 m
Height of the man = 1.9 m
Shadow cast by the lighthouse = 200 m
Height of the lighthouse = x
If two shapes are similar, the ratio of their corresponding sides would be equal.
Therefore,
x/1.9 = 200/3.1
Multiply both sides by 1.9
x = (200*1.9)/3.1
x = 122.6 m (nearest tenth)
The lighthouse is 122.6 m tall
60° 2x + 149 degrees
Answer:
x = 23
Step-by-step explanation:
60°=x+14
60+14=84=X
You have a problem. You are running out of M&Ms (the candy). Originally, you had 200 small pieces. Last week, you got a little excited and ate 151 pieces of your original amount in one week (7 days). You are determined to last the remaining M&Ms for exactly one more week. If you eat the same amount every day, how many pieces will you be able to eat each day?
Create an equation to show how you would find the number of M&M pieces you could now have each day.
What is the answer to your equation in part 1? What steps did you take to solve your equation?
Please explain how you know your equation is correct.
Answer:
49 = 7m
m = 7
Step-by-step explanation:
200 - 151 = 49
There are 49 M&M's left
m = M&M's per day
7(7) = 49
Answer:
49 ÷ 7 = 7
Step-by-step explanation:
200 - 151 is 49 so 7 beacuase 49 divided by 7 is 7
Solve for x in the triangle,round your answer to the nearest tenth
please help I have attached a picture
Answer:
option 3
Step-by-step explanation:
u can eliminate option 1 and 4 because the circles are empty and this problem has an equal to sign. the greatest number x can be is -2 because that would make the left side of the equation equal to three. Therefore x must be less than or equal to -2 to make the equation true(as graphed)
PLEASE HELP! Which of the following expressions are equivalent to (x+y) - (-z)?
A) (x+y)-z
B)x+(y+z)
C) none of the above
Answer:
c
Step-by-step explanation:
none of them equal (x+y)-(-z)
Can someone help me please
1, 2, 3 have the same solution
May Nilbin Be With You
What is 22.5% written as a fraction in simplest form?
Answer:
9/40
Step-by-step explanation:
Write down the percent divided by 100 like this:22.5/100
Multiply both top and bottom by 10 for every number after the decimal point:As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,(22.5*10)(100*10)= 225/1000
Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25.225 ÷ 25/ 1000÷25 = 9/40
$6,000 at 6%
for 8 years
What is the amount of interest earned
Answer:
13,243
Step-by-step explanation:
hope this helps
i am bad at math
11.3
Example 3: A person randomly selects one of the four envelopes
shown below. Each envelope contains a check that the person gets
to keep. However, before the person can select the envelope, he or
she must pay $7 to play. Determine the person's expectation for the
following:
Answer:
Mathematical expectation is to get %280%2B3%2B7%2B22%29%2F4 = 32%2F4 = 8 dollars from the envelopes.
Statistically, it is loosing game.Step-by-step explanation:
When a teacher counted her students in groups of 4, there were two students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls and she had more girls than boys, how many students did she have?
Recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length. The length of a rectangle is 2 times the width. If the area is 392 square feet, then what is the length of the rectangle, in feet?
Answer:
7.7
Step-by-step explanation:
I did it on edu!
You can use the fact that area of a rectangle is its length times its width.
The length of the given rectangle is 28 feet.
What is the area of a rectangle?Area of a rectangle is its length times its width.
If a rectangle has length x units and width y units, then we have:
[tex]Area = x \times y \: \rm unit^2[/tex]
How to calculate the values of items which are not known?Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.
Using above method for getting the length of the rectangleLet the length of the given rectangle be x units, and let its width be y
Then as it is given that
Length of the rectangle = 2 times width of the rectangle
or
[tex]x = 2 \times y[/tex]
We have area= 392 square feet
Since area = length times width, thus, we have
[tex]Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14[/tex]
Thus, the width of the rectangle is 14 feet
And thus, the length of the rectangle = double of width = 28 feet.
Thus,
The length of the given rectangle is 28 feet.
Learn more about area of rectangle here:
https://brainly.com/question/349091
What is OB'?
1.5 units
3 units
4.5 units
6 units
Answer: it's b on edge
Step-by-step explanation:
Which students reads the faster rate in your final answer include all necessary calculations
Answer:
Connie
Step-by-step explanation:
Determine the reading rate of the three students each. The student with the highest number of pages per minute is the fastest student (i.e. reads more words per minute).
✔️Stew's Reading Rate:
2650 ÷ 10 = 265 words per minute
✔️Connie's Reading Rate:
From the graph, it shows that 200 words are read in 1 minute.
So we have, 200 words per minute.
✔️Felicia = 260 words per minute
Therefore, we can conclude that Connie is the fastest because Connie reads more words per minute, which is 265 words per minute. Connie reads at a faster rate.
Determine the value of a.
A) 6
B) 70
C) 7
D) 10
Answer:
C
Step-by-step explanation:
SU/UR = ST/QT
10/7=10/x
70=10x
7=x
A=7
Have a nice day :)
Zara want to purches a new shirt for $19.98 and a pair of sneakers for $64.95.She only has $73.17 saved.How much more money dose she need to purchase the new shirt and the sneakers.
A. 158.10
B. 11.76
C. 84.93
D. 11.84
B) is Your answer
11.76
Step-by-step explanation:
[tex]19.98 + 64.93 = 84.93[/tex]
[tex]84.93 - 73.17 = 11.76[/tex]
is Your perfect answer
The sum of two numbers is 23. The sum of the smaller and 2 times the larger is 36. Find the numbers.
Answer
How to enter your answer
larger number:
smaller number:
Can You please help me
9514 1404 393
Answer:
S > 2
Step-by-step explanation:
In this context, "over" means "greater than." The problem statement tells you the weight (S) is greater than 2 kilograms:
S > 2
How many ways are there to add three positive even numbers to get a sum of 20? Solve this
problem by making a systematic list, then state your solution.
Help!!!!! can you show your work too thanks
Answer:
no entender veri mucho......aaaa
Verify that f and g are inverses functions using composition , show your steps
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
Review the work showing the first few steps in writing a partial fraction decomposition.
StartFraction 2 x squared + 15 x + 19 Over (x + 4) cubed EndFraction = StartFraction A Over x + 4 EndFraction + StartFraction B Over (x + 4) squared + StartFraction C Over (x + 4) cubed EndFraction
2x2 + 15x + 19 = A(x + 4)2 + B(x + 4) + C
2x2 + 15x + 19 = Ax2 + 8Ax + 16A + Bx + 4B + C
Which system of equations can be used to determine the values of A, B, and C?
Answer:
[tex]A = 2[/tex]
[tex]B = -1[/tex]
[tex]C = -9[/tex]
Step-by-step explanation:
Given
[tex]2x\² + 15x + 19 = Ax\² + 8Ax + 16A + Bx + 4B + C[/tex]
Required
Find A, B and C
Rearrange the expression
[tex]2x\² + 15x + 19 = Ax\² + 8Ax + 16A + Bx + 4B + C[/tex]
[tex]2x\² + 15x + 19 = Ax\² + 8Ax + Bx + 16A + 4B + C[/tex]
To do this, we simply compare the expressions on both sides of the equation.
So, we have:
[tex]Ax\² = 2x\²[/tex] --- (1)
[tex]8Ax + Bx = 15x[/tex] --- (2)
[tex]16A + 4B + C = 19[/tex] --- (3)
Divide both sides by x² in (1)
[tex]Ax\² = 2x\²[/tex]
[tex]A = 2[/tex]
Divide both sides by x in (2)
[tex]8Ax + Bx = 15x[/tex]
[tex]8A + B = 15[/tex]
Substitute 2 for A.
[tex]8*2 + B = 15[/tex]
[tex]16+ B = 15[/tex]
Make B the subject
[tex]B = 15 - 16[/tex]
[tex]B = -1[/tex]
Substitute 2 for A and -1 for B in (3)
[tex]16A + 4B + C = 19[/tex]
[tex]16*2 + 4*-1 + C = 19[/tex]
[tex]32 - 4 + C = 19[/tex]
[tex]28 + C = 19[/tex]
Make C the subject
[tex]C = 19 - 28[/tex]
[tex]C = -9[/tex]
Answer:
it D
Step-by-step explanation:
I just used elimination like a small brain
like so
when a = 1, b = 0, c = 3, d = -3
x^3 + 8x – 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D
Best Buy bought a television for $175. Then,
Best Buy sold it for $360. What percentage
was the markup?
Answer:
105.7143%
Step-by-step explanation:
pls make me brainliest
Find the slope of the line that passes through the two points.
Answer:
slope is 5
Step-by-step explanation:
use formula (y2-y1)/(x2-x1) to find the slope
(2-(-3))/(6-5)
= 5/1
=5
if you want the equation to the graph here:
y=mx+b
2=5(2)+b
2=10+b
b=-8
equation: y=5x-8