Solution:
Let "h" be the number of home games
Let "a" be the number of away games
The total number of games is 49
Therefore,
h + a = 49 ---------- eqn 1
They won 2/3 of the home games and 2/5 of the away games
There were 26 games won
Thus we get,
[tex]\frac{2}{3}h + \frac{2}{5}a = 26\\\\10h + 6a = 26 \times 15\\\\10h + 6a = 390\\\\[/tex]
10h + 6a = 390 --------- eqn 2
Multiply eqn 1 by 6
6h + 6a = 294 ----------- eqn 3
Subtract eqn 3 from eqn 2
10h + 6a = 390
6h + 6a = 294
( - ) ------------------
4h = 96
h = 24
Thus 24 home games were played
13-(-6) helpppp meee
Answer:
19
Step-by-step explanation:
Step 1: Solve
13 - (-6)
13 + 6
19
Answer: 19
Wes wants to buy 3 pepper plants from the garden center. The regular price of a pepper plant
is $5. If Wes buys 3 plants, he can use a 20%-off coupon. If he buys 4 plants, he can use a
30%-off coupon Wes wants to know if buying 4 plants is less expensive than buying 3 plants.
What is the sale price of 3 pepper plants after a 20% discount?
Answer: 12
Step-by-step explanation: cuz i said so
The sale price of 3 pepper plants after a 20% discount is $12.
Explanation:To figure out the sale price of 3 pepper plants after a 20% discount, we first calculate 20% of the regular price. The regular price of one pepper plant is $5, so 20% of $5 is $1. Therefore, the sale price of one pepper plant is $5 - $1 = $4. As Wes wants to buy 3 plants, we multiply this sale price by 3, so the total price after discount for 3 plants is $4 * 3 = $12.
So, the sale price of 3 pepper plants after a 20% discount is $12.
Learn more about Discount Calculation here:https://brainly.com/question/32761587
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Integer Operation:
Adding Integers
1) 85 + (-96) =
Anytime your adding a negative number, its the same as subtract a positive number.
85 + (-96) → 85 - 96
85 - 96 = -11
Best of Luck!
is -3 1/2 a rational number
Answer:
yes
Step-by-step explanation:
Yes, -3 1/2 is a rational number.
We have,
A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers.
-3 1/2 can be expressed as the fraction -7/2, where -7 is the numerator and 2 is the denominator.
Both -7 and 2 are integers, so -3 1/2 is a rational number.
Thus,
Yes, -3 1/2 is a rational number.
Learn more about rational numbers here:
https://brainly.com/question/24398433
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2/sqrt(10) simplified
Answer:
20qrt/s / as in over
Step-by-step explanation:
To simplify 2/√(10), multiply the numerator and denominator by √(10) to get √(10)/5. This process removes the square root from the denominator.
To simplify the expression 2/√(10), we rationalize the denominator. This involves removing the square root from the denominator by multiplying the numerator and the denominator by the square root of 10.
Multiply the numerator and denominator by √(10):So, the simplified form of 2/√(10) is √(10)/5.
A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
[tex]\frac{17}{3} = (angle)\frac{3}{\pi }[/tex]
Multiply by pi to get:
[tex]\frac{17\pi }{3} = 3(angle)[/tex]
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
Which ordered pair is a solution of the equation?
7x-2y=-57x
Answer:
D Neither
Step-by-step explanation:
D neither
Hope it helps you in your learning process.
What is 23 x 3/5?? I don’t get it at all please help!!
Answer:69/5
Step-by-step explanation:
what’s the slope of (2,-7) and (-1,6)
Answer:
m = -13/3
Step-by-step explanation:
The difference of your y's divided by the difference of your x's.
Can someone help me please
Answer:
q<5
Step-by-step explanation:
Since the line goes to the left of 5, q must be less than 5.
The open circle on 5 means that it cannot include 5.
Therefore, q is less than (<) five
Solve the equation
−3(x + 8) − x = 2(2x − 7)
Answer:
-4x-24=4x-14 x is 1
Step-by-step explanation:
solved in my head. please give me brainliest!!!!!
If you are looking for x it would be 1
Hiroki and Mapiya were asked to find an explicit formula for the sequence 125, 25, 5, 1,
Answer:
You always have to divide the total for 1/5
for instance:
125/5 = 25
25/5 = 5
5/5 = 1
brainliest please ;)
Answer:
Only Hiroki
Step-by-step explanation:
His formula makes the most sense to the sequence.
Solve for a
- 8a = 24
Answer:
a = -3
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.
Divide -8 from both sides:
(-8a)/-8 = (24)/-8
a = 24/-8
a = -3
a = -3 is your answer.
Answer:
a = -3 to find this answer divide both sides by -8
Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).
A) y = 3.14
B) y = 3.14x
C) y =
1
5
x
D) y = −5x
Answer:
A
Step-by-step explanation:
Perpendicular to x = -5 is going to be a horizontal line.
Since it passes through (1,3.14),
Equation is y = 3.14
please help me asap!!!!
Answer:
125
Step-by-step explanation:
5 × 5 × 5 = 125
Hope that helped.
Answer:
125
Step-by-step explanation:
5^3 is equivilent to 5*5*5
5*5=25
25*5=125
7)
A radio costs $20. Harold buys it for $16. What percent off did he receive?
Answer:20%
Step-by-step explanation:
20-16=4
4/20=0.2
Move the decimal to the right twice and you get 20
Need this done ASP, What is trhe volume of the cone?
Answer:
490pi/3
Step-by-step explanation:
The volume of the cone is V=1/3*b*h, as shown in the image. The height is 10, the base is pi*radius^2, and the radius is 7 making V=1/3*10*pi*7^2 or 490pi/3 after the calculations
A model of a barn is composed of a cube and a triangular prism. The dimensions of the model of the barn are shown. What is the surface area, in square centimeters, of the model?
a 3,000
b 3,048
c 3,504
d 3,624
Answer: c
Step-by-step explanation:
you must have not known the questions for the connections acadamy benchmark i may be your classmate
6
Create two sets of data with the following characteristics.
• Each data set has 5 values.
The mean of set 1 is greater than the mean of set 2.
The MAD of set 1 is less than the MAD of set 2.
121111111111111111111
Evaluate each function at each of the four points.
Functions:
f(x) = x2 – 5x – 6
f(x) = 23 – 22 – 12
f(x) = 5.24
Points:
f(0)
f(2)
f(-1)
f(6)
1) f(0)= -6 , f(2)= -12, f(-1)= 0, f(6)= 0
2) f(0)= -12 , f(2)= -8 , f(-1)= -14 , f(6)= 168
3) f(0)= 5 , f(2)= 20, f(-1)= 2.5 , f(6)= 320
Step-by-step explanation:
1) The given function is f(x) = x² – 5x – 6.
To find the values of f(0) , f(2), f(-1), f(6) :
Substitute x=0 in f(x) = x² – 5x – 6
f(0) = -6
Therefore, f(0) = -6
Substitute x=2 in f(x) = x² – 5x – 6
f(2) = (2)² -5(2)-6
⇒ 4-10-6
⇒ 4-16
⇒ -12
Therefore, f(2) = -12
Substitute x= -1 in f(x) = x² – 5x – 6
f(-1) = (-1)² - 5(-1) -6
⇒ 1+5-6
⇒ 6-6
⇒ 0
Therefore, f(-1) = 0
Substitute x= 6 in f(x) = x² – 5x – 6
f(6) = (6)² - 5(6) -6
⇒ 36 -30 -6
⇒ 36-36
⇒ 0
Therefore, f(6) = 0
2) The given function is f(x) = x³– x²–12.
To find the values of f(0) , f(2), f(-1), f(6) :
Substitute x=0 in f(x) = x³– x²–12
f(0) = -`12
Therefore, f(0) = -12
Substitute x= 2 in f(x) = x³– x²–12
f(2) = (2)³ - (2)² -12
⇒ 8-4-12
⇒ 8-16
⇒ -8
Therefore, f(2) = -8
Substitute x= -1 in f(x) = x³– x²–12
f(-1) = (-1)³ - (-1)² -12
⇒ -1-1-12
⇒ -14
Therefore, f(-1) = -14
Substitute x= 6 in f(x) = x³– x²–12
f(6) = (6)³ - (6)² -12
⇒ 216 -36 -12
⇒ 216-48
⇒ 168
Therefore, f(6) = 168
3) The given function is f(x) = [tex]5.24^{x}[/tex]
To find the values of f(0) , f(2), f(-1), f(6) :
Substitute x=0 in f(x) = [tex]5.2^{x}[/tex]
f(0) = 5 × [tex]2^{0}[/tex]
Any number with power zero is 1.
f(0) = 5
Therefore, f(0) = 5
Substitute x=2 in f(x) = [tex]5.2^{x}[/tex]
f(2) = 5 × 2²
⇒ 5×4
⇒ 20
Therefore, f(2) = 20
Substitute x= -1 in f(x) = [tex]5.2{x}[/tex]
f(-1) = [tex]5\times2^{-1}[/tex]
⇒ 5 × 1/2
⇒ 5 × 0.5
⇒ 2.5
Therefore, f(-1) = 2.5
Substitute x= 6 in f(x) = [tex]5.2^{x}[/tex]
f(6) = [tex]5\times 2^{6}[/tex]
⇒ 5 × 64
⇒ 320
Therefore, f(6) = 320
Which property was applied to create this equivalent expression?
7 x + (5 + 6 x) right-arrow (7 x + 5) + 6 x
A.the commutative property only
B.the associative property only
C.the distributive property only
D.both the commutative property and the associative property
Answer:
wrong it is B.the associative property only
Step-by-step explanation:
The product of 5 and an odd number will end in what value?
A) 0
B) 1
C)3
D)5
Answer:
D) 5
Step-by-step explanation:
If we multiply 5 and an odd number, the end value will not be 0, 1, and 3. For example,
5 × 1 = 5
5 × 9 = 45
Therefore, in both the product, the end value is 5 and not 0, 1, and 3.
Therefore, option D is correct.
If we multiply 5 by any of the odd number, we can get the end value of 5. The following examples are the valid reasons why we will get 5.
5 × 3 = 15
5 × 5 = 25
So, option A, B, and C are wrong.
Answer:
A) 0
B) 1
C)3
D.5 ←
Find the value of x in the triangle shown below
Find the slope of the line that passes through -2,5 and -1,1
Answer:
m= -4
Step-by-step explanation:
use the slope formula m=rise/run y2-y1/x2-x1
john is 3 times as old as susan. Mark is 5 years younger than john the sum of their ages is 30. how old is susan
Answer:
Susan is 5 years old
Step-by-step explanation:
Make a system of equations based on the info:
J=3S
M=J-5
J+M+S=30
Since we have the value of J, plug it in to either equation:
M=3S-5
Same deal with M:
3S+3S-5+S=30
7S-5=30
7S=35
S=5
So Susan is 5 years old
The recursive formula to describe a sequence is shown below
a1=4
an=an-1+2n
State the first four terms of this sequence.
Given that the recursive formula for a sequence is [tex]a_n=a_{n-1}+2n[/tex]
The first term of the sequence is [tex]a_1=4[/tex]
We need to determine the first four terms of the sequence.
Second term:
The second term of the sequence can be determined by substituting n = 2 in the recursive formula.
Thus, we have;
[tex]a_2=a_{2-1}+2(2)[/tex]
[tex]a_2=a_{1}+2(2)[/tex]
[tex]a_2=4+4[/tex]
[tex]a_2=8[/tex]
Thus, the second term of the sequence is 8.
Third term:
The third term of the sequence can be determined by substituting n = 3 in the recursive formula.
Thus, we have;
[tex]a_3=a_{3-1}+2(3)[/tex]
[tex]a_3=a_{2}+2(3)[/tex]
[tex]a_3=8+6[/tex]
[tex]a_3=14[/tex]
Thus, the third term of the sequence is 14.
Fourth term:
The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.
Thus, we have;
[tex]a_4=a_{4-1}+2(4)[/tex]
[tex]a_4=a_{3}+2(4)[/tex]
[tex]a_4=14+8[/tex]
[tex]a_4=22[/tex]
Thus, the fourth term of the sequence is 22.
Hence, the first four terms of the sequence is 4, 8, 14, 22.
Solve t. Soving proportion 7-3=4-t t=
Answer:
t = 0
Step-by-step explanation:
Step 1: Solve for t
7 - 3 = 4 - t
4 - 4 = 4 - t - 4
0*-1 = -t*-1
0 = t
Answer: t = 0
What’s a linear function
Answer:
What is Linear Function? - Equation, Graph, Definition
A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
Step-by-step explanation:
She earns $20 per hour as a carpenter and $25 per hour as a blacksmith. Last week Giselle worked both jobs for a total of 30 hours and earn a total of $690 how long did she work as a carpenter last week and how long did she work as a blacksmith
Answer:
There is a few combinations but as carpenter it is (9.5hrs x $20=$190 ) and as a blacksmith 20 x $25= 500
Step-by-step explanation:
The volume of a rectangular prism is 1,000^3 mm. Use the formula V = lwh to determine which of the statements are true. Choose all that apply
The prism could be a cube with a side length of 10 mm.
It is possible for the length to be 1,000 mm.
The length, width, and height must end in zero.
It is possible that the length is 2.5 mm.
(A) The prism could be a cube with a side length of 10 mm.
(B) It is possible for the length to be 1,000 mm.
(D) It is possible that the length is 2.5 mm.
Explanation:
Volume = l×w×h
where l is the length, w is the width and h is the height
It is possible that the length is 2.5 mm
Then volume = 2.5 × 10 ×40 = 1000 mm³
It is possible for length to be 1000 mm
Then volume = 1000 × 0.1 × 10 = 1000 mm³
The prism could be a cube of length 10 mm
Then volume = 10 × 10 × 10 = 1000 mm³