Answer:
x=2, y=3. (2, 3).
Step-by-step explanation:
2x+4y=16
-2x-3y=-13
-----------------
y=3
2x+4(3)=16
2x+12=16
2x=16-12
2x=4
x=4/2
x=2
What is the sum of 6x+7 and 8x^2+5x-1
Answer:
8x² + 11x + 6
Step-by-step explanation:
6x + 7 + 8x² + 5x - 1 ← collect like terms
= 8x² + (6x + 5x) + (7 - 1)
= 8x² + 11x + 6
A tree that is 30 tall casts a 40 shadow. What is the distance from the top of the tree to the end of the shadow?
The distance from the top of the tree of height 30 tall to the end of the shadow is 50.
What is distance?Distance is the length between two point.
To calculate the distance from the top of the tree to the end of the shadow, we use the formula below.
Note: The tree and the shadow form a right angle.
Formula:
a = √(b²+c²)................. Equation 1Where:
a = Distance of from the top of the tree to the end of the shadowb = Height of the treec = Length of the shadowFrom the question,
Given:
b = 30 c = 40Susbtitute these values into equation 1
a = √(30²+40²)a = √(900+1600)a = √2500a = 50Hence, the distance from the top of the tree to the end of the shadow is 50.
Learn more about distance here: https://brainly.com/question/26550516
#SPJ1
Two tourists start walking across the Golden Gate Bridge at the same time but from opposite
ends. One of the tourists is walking at a leisurely rate of 0.9 meters per second, and the other
is walking at a rate of 1.1 meters per second. Given that the bridge is 2,738 meters in length,
how long will it take for the tourists to meet?
minutes and
seconds
Answer:
The tourists will meet at the midpoint of the bridge, which is 2738/2 = 1369 meters from each end.
At their respective walking speeds, it will take the first tourist 1369/0.9 = 1521.67 seconds to reach the midpoint, and it will take the second tourist 1369/1.1 = 1242.73 seconds.
Therefore, it will take them a total of 1521.67 + 1242.73 = 2764.4 seconds to meet.
Since there are 60 seconds in a minute, the time in minutes is 2764.4 / 60 = 46.07 minutes.
Therefore, it will take the tourists 46 minutes and 0.4 seconds to meet.
Uday Tahlan
12a-3b squared, when a=9, b=4
Answer:
60
Step-by-step explanation:
12a - 3b²
12(9) - 3(4)²
108 - 3(16)
108 - 48
60
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{12a - 3b^2}\\\mathsf{= 12(9) - 3(4)^2}\\\mathsf{= 12(9) - 3(4\times4)}\\\mathsf{= 12(9) - 3(16)}\\\mathsf{108 - 3(16)}\\\mathsf{= 108 - 48}\\\mathsf{= 60}\\\\\huge\text{Therefore, your answer should be: }\\\huge\boxed{\mathsf{60}}\huge\chdckmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
The six departments of a company consisting of 22, 32, 18, 16, 10, and 12 employees have an equal monthly salary of P7200, P7600, P6900, P8200, P7800 and P7400 respectively. What is the mean monthly salary of all the employees of the company?
The average monthly wage for the entire workforce of the business is $7489.09.
What is Mean?
The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.
Given, The six departments of a company consisting of 22, 32, 18, 16, 10, and 12 employees have equal monthly salaries of $7200, $7600, $6900, $8200, $7800, and $7400 respectively.
First, calculate the total monthly salary
22*7200 + 32*7600 + 18*6900 + 16*8200 + 10*7800 + 12*7200 dollars.
Total monthly salary = $823,800
Then divide this sum by the total number of employees
22 + 32 + 18 + 16 + 10 + 12
Total number of employees = 110
the mean monthly salary of all the employees = [tex]\frac{Total salary}{total number of employee}[/tex]
the mean monthly salary of all the employees = 823800/ 110
the mean monthly salary of all the employees = 7489.0909
Therefore, the mean monthly salary of all the employees of the company is $7489.09.
Learn more about mean here:
https://brainly.com/question/10853033
#SPJ1
Think of two different prime numbers, and write them on your paper. Then write the greatest common factor (GCF) of the two prime numbers.
Answer:
3, 11
The only common factor of Prime Numbers is 1
Find the areas of the triangles.
Answer:
here,base=16*3+7/16
=55/16
=3.43
height =5*1+3/5
=8/5
=1.6
now use formula h*b/2
=3.43*1.6/2
=5.48/2
=2.74
Step-by-step explanation:
therefore area of triangle is 2.74
Identify the ratios that correspond to the figure below, where TU = 30, UV = 16, and TV = 34.
the graph of linear f passes through the point 1 -9 and has a slope of -3 what is the zero of f
(A) 2
(B) 4
(C) -6
(D) -2
Answer:
(C) -6
Step-by-step explanation:
Given the following data;
Points on the graph (x1, y1) = (1, -9).
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the zero of the linear function f, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - (-9) = -3(x - 1)
y + 9 = -3x + 3
y = -3x + 3 - 9
y = -3x -6 = mx + c
Intercept (c) or zero of a function = -6
Me+You=?
wanna test our equation? ;3
Answer:
Okay, that was smooth-
Step-by-step explanation:
Use that when you ask someone out.
find the L.C.M of 10,12,15 by division method
Answer:
Step-by-step explanation:
The LCM of 10,12,15 is 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .
Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day . How many grapes did he eat ?
Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.
Therefore, The total number of grapes Mr.West ate is,
= 11×(2 1/11) grapes.
= 11×(23/11) grapes.
= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for I want the answer and a detailed reason as to why u got that answer. first one to get it correct is brainly.
Answer:
5.5 (five and a half weeks)
Step-by-step explanation:
If she was withdrawing 20$ twice a week that means that she withdrew 40$ (20$x2) a week, and 220$ divided by 40$ is 5.5.
Aubree and Bo own competing taxicab companies. Both cab companies
charge a one-time pickup fee for every ride, as well as a charge for each mile
traveled. The equation y = 2.6x + 2.5 represents what Bo's company
charges. The table below represents what Aubree's company charges.
Aubree's Taxicab Company
Miles (x) Total Cost (y)
2
$7.50
4
$13.50
$19.50
$25.50
6
8
Use the dropdown menu and answer-blank below to
form a true statement.
Aubree's company charges $| less per mile than Bo's.
On solving the provided question we cans ay that - here in linear equation, y = 3 and x = -1/2
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y = 2x + 1 - linear equation.
value of y;
[tex]x = 0\\y = 2(0) + 1\\y = 2 + 1\\y = 3[/tex]
value of x;
[tex]y = 0\\0 = 2x + 1\\2x = -1\\x = -1/2[/tex]
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
: 1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125
To simplify this expression, you can first simplify the logarithms by using the properties of logarithms and the simplified expression is -0.00195
What is logarithm?A logarithm is a mathematical function that is used to determine the power to which a number must be raised in order to produce a certain value. The logarithm of a number "b" to base "a" is represented as loga(b) or logb. The logarithm of b to base a is equal to the exponent to which we must raise a to get b.
[tex]1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]
To simplify this expression, you can first simplify the logarithms by using the properties of logarithms.
[tex]1/2 log10 25/4 - 2 log10 4/5 + log10 320/125[/tex]
=[tex]1/2( log10 25 - log10 4) - 2 (log10 4 - log10 5) + (log10 320 - log10 125)[/tex]
= 1/2(1.397940008672037 - 0.6020599913279624) - 2*(-0.6020599913279624 - 0.6989700043360187) + (2.505149978319906 - 2.0969100130080566)
= 0.397940008672037 - 1.204120018655925 - 1.397940008672037 + 0.40825006983185
= -0.2 - 0.2062 + 0.40825
= -0.00195
So the simplified expression is -0.00195
To know more about logarithms visit:
https://brainly.com/question/28346542
#SPJ1
Complete question is: simplify the given equation: 1/2 Log10 25/4 - 2 log10 4/5 + log10 320/125
what is the value of
sin^-1(0.4182) =
Answer:
degree 24.7
Radian 0.43
Step-by-step explanation:
Jesse had a total of 20 coins, all quarters and nickels. He counted his coins an had a
total of $3.20. How many of each coins does he have?
Answer: 11 quarters and 9 nickels
Step-by-step explanation:
11 quarters = $2.75 or 275 cents
9 nickels = 45 cents
275 + 45 = $3.20
Gemma's mean speed on her drive home from Chicago is 59mph. If the total trip is 295 miles, how long should she expect the drive to take? Round your answer to two decimal places, if necessary.
Answer:
5 hours
Step-by-step explanation:
If shes going 59mph and the total trip is 295mph
then you would divid 295 by 59 and get 5
(36)^-2 x (9)^-2 i need help
Answer: 1/104976
Step-by-step explanation:
You can get rid of negative exponents by flipping the number. So in this case, the expression would change to: 1/(36)^2 x (9)^2.
From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.
1/104976 is your answer!
Write an equation that represents a discount of 18% on a retail price of $55. Let p represent the new price. f
what is the missing value , 2/3 and n/12
Constant of Variation
Does the function y = 10/x² shown in the graph below have a maximum y=value or a minimum y-value?
Answer:
No
Step Explanation:
I calculated it logically
If your initial principal is $278 and your principal in 2 years is $1,308.77,
how much interest did you earn?
Answer:1030.77
Step-by-step explanation:
Please help ASAP
The painting shown at the right has an area of 280 in2. What is the value of x?
(4x+5) in.
(Simplify your answer. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed. Use a comma to
separate answers as needed.)
In the diagram below,
ZCAB≈ ZCDE. Solve for x. Round
your answer to the nearest tenth if
necessary.
14
A
D
X
с
18.7
E
9.3
B
Answer:14 a
Step-by-step explanation:
The explanation is that it is E
What is the value of 4.25÷17×122
Answer:
30.5
Step-by-step explanation:
4.25÷17×122
0.25×122
30.5
Answer:
30.5
Step-by-step explanation:
A study of tutoring services at a community college shows a strong positive association between time spent in the math lab (in hours) and math exam average (as a percent). Is the following statement valid or invalid?
a. Students who spend more time in the math lab tend to have higher exam averages.
b. The tutoring services in the math lab are improving student performance on math exams.
c. To improve student performance in math classes, the college should require students to attend the math lab.
Answer:
A. Invalid
B. Valid
C. Valid.
Step-by-step explanation: A valid statement or argument is one in which the premise correlates with the conclusion.
It means that if all the premises are true then the conclusions from such premises must also be true. In the above statement, the first conclusion is invalid as it's conclusion does not correlates with its premise when considering the argument. Both conclusions B and C are valid as they correlates with their respective premises when considering the argument or statement made.
A one story home has a total square footage of 1,200. If 900sq ft of the home has a basement, and 300 sq ft has a slab foundation, what percent of the home has a basement foundation?
Answer:
7
Step-by-step explanation:
can y'all help me for math
Answer:
139 cm
Step-by-step explanation:
If he was 152 cm, and he grew 13 cm over the past year, he was 13 cm less than what ge is now. So, 152-13=139 cm. So, Jim was 139 cm a year ago
Is (7, 9) a solution of y > 2x − 5?
HELP
Answer:
no
Step-by-step explanation:
y > 2x - 5
9 > 2(7) - 5
9 > 14 - 5
9 > 9. not a solution
9=9