MTH 102 Intermediate Algebra
Two times a number added to another number is 25. Three times the first
number minus the other number is 20. Find the two numbers. (remember to
check your answer).
Let x = the first number and y = the second number
Answers
Answer:
mth 102 intermediate algebra 2 times a number added to another number is 25 3 times the first number minus the other number is 25 the two numbers that two numbers of 88 and 72
Answer:
here is my answersssssssssss...enjoy
Related Questions
Write down all the prime numbers between 20 and 35
Answers
Answer: The prime number are 23,29,31
Step-by-step explanation:
A blogger found that the number of visits to her Web site increases 5.6% annually. The Web site had 80,000
visits this year. Write an exponential model to represent this situation. By what percent does the number of
visits increase daily? Explain how you found the daily rate.
Answers
f(t) = 80,00[tex](1+ 0.056)^{t}[/tex] is the exponential function that represents the model. The number of visits increase by 0.015% daily.
Here, we are given that a blogger found that the number of visits to her Web site increases 5.6% annually.
The exponential function is given as-
Final value = initial value [tex](1 + r)^{t}[/tex]
where r = rate of change
and t = time
here, r = 5.6%
r = 0.056
Further, the Web site had 80,000 visits this year ⇒ initial value = 80,000
Thus, we can get the following function-
f(t) = 80,00[tex](1+ 0.056)^{t}[/tex]
where f(t) represents the views after t years.
Now, since we are given that the views increase by 5.6% in 1 year
and 1 year = 365 days
⇒ daily rate = 5.6/365
= 0.015
Thus, the number of visits increase by 0.015% daily.
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In a survey of employees at a fast food restaurant, it was determined that 13 cooked food, 16 washed dishes, 20 operated the cash register,
7 cooked food and washed dishes, 6 cooked food and operated the cash register, 8 washed dishes and operated the cash register, 3 did all
three jobs, and 5 did none of these jobs. Complete parts a) through f) below.
how many employees took the survey?
Answers
Answer:1
Step-by-step explanation:
Question 1
What is the slope of the line that passes through the points
(-9, 8) and (-3,-1)?
Answers
Greetings from Brasil...
It is possible to answer this question through Determinant
| X Y 1 |
| X₁ Y₁ 1 | = 0
| X₂ Y₂ 1 |
We have:
(X₁; Y₁) = (-9; 8)
(X₂; Y₂) = (-3; -1)
then
| X Y 1 |
| -9 8 1 | = 0
| -3 -1 1 |
9X + 6Y + 33 = 0Find the coordinates of the point 3/10
of the way from A to B.
Answers
The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)
How to determine the coordinates of the point?The given parameters are:
the coordinates of b is (9,7) the coordinates of a is (-4,-6)The position of the point is given as:
Location = 3/10
Express as ratio
m ; n = 3 : 10 - 3
This gives
m ; n = 3 : 7
The coordinates of the point are then calculated as:
Point = Location * (mx2 + nx1, my2 + ny1)
This gives
Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 * -6)
Evaluate
Point = 3/10 * (-1, -21)
This gives
Point = (-0.3, -6.3)
Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)
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Complete question
find the coordinates of the point 3/10 of the way from a to b
the coordinates of b is (9,7)
the coordinates of a is (-4,-6)
Which expression is equivalent to (10−2 • 45)−2?
1. ten raised to the fourth power divided by four raised to the tenth power)
2. negative ten raised to the fourth power divided by four raised to the tenth power)
3. four raised to the third power divided by ten raised to the fourth power)
4. negative four raised to the third power divided by ten raised to the fourth power)
Answers
The expression that is equivalent to the given expression (10^−2 • 4^5)^−2 is 10^(4) • 4^(−10)
How to determine the expression that is equivalent to the given expression?The expression is given as
(10−2 • 45)−2
Rewrite the above expression properly as follows:
(10^−2 • 4^5)^−2
Apply the power rule of indices
So, we have
(10^−2 • 4^5)^−2 = 10^(−2 * −2) • 4^(−2 * 5)
Evaluate the product of powers
So, we have
(10^−2 • 4^5)^−2 = 10^(4) • 4^(−10)
Hence, the expression that is equivalent to the given expression (10^−2 • 4^5)^−2 is 10^(4) • 4^(−10)
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8,615-4,229= I need help
Answers
8,615-4,229=4386 Answer took the quiz!
Answer:
4386
Step-by-step explanation:
8615-4229
= (8000 + 600 + 10 + 5) - (4000 + 200 + 20 + 9)
= (8000-4000) + (600-200) + (10-20) + (5-9)
= 4000 + 400 + (-10) + (-4)
= 4000 + 300 + (100-10) + (-4)
= 4300 + 80 + (10-4) = 4386
How many integers a satisfies |2a+7|+|2a−1] =8?
Answers
Answer:
3
Step-by-step explanation:
Please help identify the slope for the graph thank you
Answers
Answer:
Undefined or y = 3
Step-by-step explanation:
I think it's Undefined. But if it asks for rise/run it is (0,3)
Find the value of x. Round to the nearest tenth if necessary.
Answers
Answer:
1. 11.7
2. 15
3. 20.5
4. 15.3
Step-by-step explanation:
Use the Pythagorean theorem for each of the problems.
Answer:
Step-by-step explanation:
Match the correct function to the graph.
Answers
How many 4/13 pound boxes of cereal can be made from 11,804 pound of cereal?
Answers
Show that the roots of the quadratic equation given by(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0
are real and they can not be equal unless a=b=c
Answers
Expanding out the equation, we get
[tex]x^2 - ax - bx+ab+x^2 -bx-cx+bc+x^2 -ax-cx+ac=0 \\ \\ 3x^2 -x(2a+2b+2c)+(ab+bc+ac)=0[/tex]
Considering the discriminant,
[tex](2a+2b+2c)^2 - 4(3)(ab+bc+ac) \\ \\ =4a^2 + 4b^2 + 4c^2 + 8(ab+bc+ac)-12(ab+bc+ac) \\ \\ =4(a^2 + b^2 + c^2 - ab - bc - ac) \\ \\ =2((a-b)^2 + (b-c)^2 + (c-a)^2)[/tex]
This is always non-negative, meaning the roots are real.
The roots are equal if and only if the discriminant is 0, which is when a=b=c.
Evaluate 4|-2| - |-3|
5
-5
11
Answers
Answer:
5
Step-by-step explanation:
4(|−2|)−|−3|
=(4)(2)−|−3|
=8−|−3|
=8−3
=5
"Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator."
Can someone please explain the answer to me
Answers
Step-by-step explanation:
[tex] \frac{1}{ {x}^{ \frac{ - 1}{3} } } \times \frac{1}{3x} \\ \frac{1}{ {3x}^{ \frac{2}{3} } } \\ \frac{1}{ 3\sqrt[3]{x {}^{2} } } [/tex]
Multiply the fractions. Select the answer that is in simplest form.
5x1 1/9
Answers
The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The numbers are given below.
5 and [tex]1 \frac{1}{9}[/tex]
The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be
[tex]\rightarrow 5 \times 1 \dfrac{1}{9}[/tex]
⇒ 5 x 10 / 9
⇒ 50/9
The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.
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Use the associative property to find an equivalent expression to: a • (b • c)
Answers
The equivalent expression for a*(b*c) is (a*b)*c.
What is Associative Property?when more than two numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.
The given expression is a*(b*c).
The associative property is holds for multiplication.
According to the definition of associative property when more than two numbers are multiplied the result remains the same, irrespective of how they are grouped.
The equivalent expression for a*(b*c) is (a*b)*c.
For example a=2,b=3 and c=1 then
a*(b*c) =2*(3*1)=6
(a*b)*c=(2*3)*1=6
a*(b*c)=(a*b)*c
Therefore (a*b)*c is equivalent expression for a*(b*c).
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Three friends are making homecoming mums before the big game. When all three friends are working, they produce 6 mums per hour. When only Friend B and Friend C are working, they make 5 mums per hour. When only Friend A and Friend B are working, they make 4 mums per hour. How many mums can be created by each friend every hour?
Answers
The number of mums created every hour by each friend are:
Friend A working every hour creates 1 mum, Friend B working every hour creates 3 mums, and Friend C working every hour creates 2 mumsHow to find the number of mum created per hour by each friendGiven data
Friend A, Friend B, and Friend C working = 6 mums per hour
Friend B and Friend C working = 5 mums per hour
Friend A and Friend B are working = 4 mums per hour
A + B + C = 6 equation 1
B + C = 5 equation 2
A + B = 4 equation 3
from equation 2, make C the subject of the formula
B + C = 5
C = 5 - B
from equation 3, make A the subject of the formula
A + B = 4
A = 4 - B
substitute A and C into equation 1 to get
A + B + C = 6
4 - B + B + 5 - B = 6
4 + 5 - B = 6
9 - B = 6
-B = 6 - 9
-B = -3
B = 3
substituting B for A we have
A = 4 - 3
A = 1
substituting B for C we have
C = 5 - 3
C = 2
Therefore , Friend A working every hour creates 1 mum, Friend B working every hour creates 3 mums, and Friend C working every hour creates 2 mums,
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What is an equation of the line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6
Answers
5x-2y = -2 is the equation of line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6.
Given that, (x₁, y₁) = (-2, -4) and parallel to 5x - 2y = 6
Let's calculate the slope of 5x - 2y = 6
Rewrite the equation in y = mx + c form
5x - 2y = 6
⇒ -2y = 6 - 5x
⇒ -y = 3 - 5/2x
⇒ y = -3 + 5/2x
⇒ y = 5/2x - 3
Thus, the slope (m) = 5/2
As the line is parallel to 5x - 2y = 6 it will have a slope of 5/2.
The point-slope formula states (y - y₁) = m(x - x₁)
Now, substituting the value of m = 5/2 and (x₁, y₁) = (-2, -4), we get
(y - y₁) = m(x - x₁)
⇒ (y - (-4)) = 5/2(x - (-2))
⇒ (y+4) = 5/2(x+2)
⇒ 2(y+4) = 5(x+2)
⇒ 2y+8 = 5x+10
⇒ 5x-2y+10-8 = 0
⇒ 5x-2y+2 = 0
⇒ 5x-2y = -2
Hence, the line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6 is 5x-2y = -2.
Therefore, 5x-2y = -2 is the required answer.
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Find the length indicated FIND IK HELP
Answers
Answer:
Here is the answer, let me know if I did it wrong.
Answer:
IK = 13 and x = - 12
Step-by-step explanation:
Let's write down each segment and if available express it in terms of x which has to be determined in order to find length of segment IK
We have IK = x + 25 (to be determined)
JK = 2x + 30 (1)
KL (unknown)
IL = x + 34 (2)
JL = 15 (3)
The entire segment
IL = IJ + JL
Substituting for JL = 15 we get IL = IJ + 15
But we are given IL = x + 34
IJ + 15 = x + 34
IJ = x + 34 -15 = x + 19 (4)
IK = IJ + JK
Substituting for IJ = x + 19 from equation (4) and JK = 2x + 30 from equation (1) we get IJ + IK = x + 19 + 2x + 30 = 3x + 49
But we are given that IK = x + 25
So
3x + 49 = x + 25
Moving x from the RHS to the LHS and 49 from the LHS to the RHS we get
3x-x = 25 - 49
2x = -24
x = -12
IK = -12 + 25 = 13
We can verify this by finding the lengths of each segment and seeing they are consistent
We have
IJ = x + 19 = -12 + 19 = 7
JK = 2x + 30 = 2(-12) + 30 = -24 + 30 = 6
IL = x + 34 = -12 + 34 = -23
We also have the fact that JK + KL = JL = 15
Substituting for JK we get
6 + KL = 15
KL = 15-6=9
Total segment length = 7+6 + 9 = 22
x + 34 = -12 + 34 = 22
So it is consistent
The trumpet player in a jazz band receives $64 in tips and a portion of the band's
earnings for a performance. The band earns $960 and pays the band manager
$144. The 4 band members split the remaining earnings evenly. The equation
below represents the total earnings, T, of the trumpet player.
T = 64+ (960-144) ÷ 4
What are the total earnings of the trumpet player?
Answers
Answer:
T = 320
Step-by-step explanation:
64+ (960-144) ÷ 4 = 64+ (816) ÷ 4 = 64+ 204 = 320
My bill is normally $90 but has gone up to $108 what is the percentage it went up by
Answers
Answer:
it went up 20%
Step-by-step explanation:
QUESTION BELOW SLOVE USING NTH TERM!
I found this
im using T for tails and H for heads
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
MOVE 1# TTTT
MOVE 2#THHH
MOVE 3#HTTH
MOVE4#HHHT
MOVE5#TTTH
end up like =HHHH
HOW DO I WRITE THIS OUT FOR NTH TERM.
THE QESTION IS BELOW! WILL GET 100 POINTS! PLEASE HELP BEEN STUCK ON THIS FOREVER!
Answers
Answer:
thanks bro bro
Step-by-step explanation:
anyways you gotta to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
Please help I can’t solve 14,15,16
Answers
Answer:
chcicken
Step-by-step explanation:
One side of a rectangle is 9 feet shorter than three times another side. Find the length of the shorte
ide if we also know that the perimeter of the rectangle is 126 feet.
F=?
Answers
The shorter side of the rectangle is 18 feet.
How to Find the Perimeter of a Rectangle?Perimeter of a rectangle = 2(l + w), where w is the width of the rectangle and l is its length.
Given the following:
Another side of the rectangle = width = w
One side of the rectangle = length = 3w - 9
Perimeter of the rectangle = 126 feet
Therefore:
2(3w - 9 + w) = 126
2(4w - 9) = 126
8w - 18 = 126
8w = 126 + 18
8w = 144
8w/8 = 144/8
w = 18
One side of the rectangle = 3w - 9 = 3(18) - 9 = 45
Therefore, the shorter side of the rectangle is 18 feet.
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HELP MEE!!
i need help with this!!
Answers
Answer:
2745
jow to get this is you do this then dis
Will mark brainliest please do right answer.
Answers
Answer:
option (1), (4),(5)
Step-by-step explanation:
(1)
-7 + (-8) = - 7 - 8= - 15 < -8
(2)
- 42 ÷ (-6) = 7 > -8
(3)
- 4 + (-4) = - 4 - 4 = - 8 = - 8
(4)
6(-3)= - 18 < - 8
(5)
-5-7= -12 < - 8
(6)
-28 ÷ 7= -4 > - 8
What is the slope of the line that passes through the points (-7, -10) and
(-19, -10)? Write your answer in simplest form.
Answers
To find the slope, we subtract the two y’s then do the same for x. That would look like:
(-10) - (-10) = 0
(-19) - (-7) = -12
Our fraction answer is 0/12. Because the slope has 0 as a numerator, we identify this as a slope of 0. This forms a horizontal line.
Final answer: The slope of the line is 0.
Solve the following proportion for 8/11 = v/6 .
Round your answer to the nearest tenth.
Answers
Answer:
v = 4.4
Step-by-step explanation:
Let's solve your equation step-by-step.
8/11 = v/6
Step 1: Cross-multiply.
8/11 = v/6
(8)*(6)=v*(11)
48=11v
Step 2: Flip the equation.
11v=48
Step 3: Divide both sides by 11.
11v/11 = 48/11
v= 48/11
v = 4.4
Evaluate the following expression.
5×[5+(17–5)=4]
Answers
Add 5 and 17
5 . ( 22 - 5 ) = 4
Subtract 5 from 22
5 . 17 = 4
Multiply 5 by 17
85 = 4