Answer:
C. x=3 and y=−6
Step-by-step explanation:
Step: Solvex−2y=15for x:
x−2y=15
x−2y+2y=15+2y(Add 2y to both sides)
x=2y+15
Step: Substitute2y+15forxin2x+4y=−18:
2x+4y=−18
2(2y+15)+4y=−18
8y+30=−18(Simplify both sides of the equation)
8y+30+−30=−18+−30(Add -30 to both sides)
8y=−48
8y8=−488(Divide both sides by 8)
y=−6
Step: Substitute−6foryinx=2y+15:
x=2y+15
x=(2)(−6)+15
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−6
(8x^4-64x^3+3x-28) / (X-8)
Answer:
[tex]8x^{3}+3-\frac{4}{x-8}[/tex]
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2 pounds. The first and third quartiles are 118.3 pounds and 157.3 pounds. Is it reasonable to believe that the distribution of body weights for women aged 20 to 29 is approximately Normal? Explain your answer.
Answer:
No it is not reasonable to believe that the that the distribution of body weights for women aged 20 to 29 is approximately Normal.
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 141.7 \ pounds[/tex]
The median is [tex]Q_2 = 133.2 \ pound[/tex]
The first quartile is [tex]Q_1 = 118.3 \ pound[/tex]
The third quartile is [tex]Q_3 = 157.3 \ pound[/tex]
Generally the Bowley's coefficient of skewness is mathematically represented as
[tex]B = \frac{ Q_3 +[ Q_1 -[2* Q_2}{Q_3 - Q_1}[/tex]
=> [tex]B = \frac{ 157.3 +[ 118.3 -[2* 133.2 }{157.3 - 118.3}[/tex]
=> [tex]B = 0.2359[/tex]
Give that the Bowley's coefficient is positive it means that the distribution of weight is positively skewed
Divide 4 over 5 ÷ 1 over 10 = ___Divide 4 over 5 ÷ 1 over 10 = ____.
Numerical Answers Expected!_. Numerical Answers Expected!
What is the inverse of the function g(x)=5(x-2)
Answer:
[tex]\frac{x-2}{5}[/tex]
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
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how to know the equation and solve it?
Answer:
i added all the values because the total angle of the interior triangle should give 180 °.
express the following in word form 11.03
Answer:
eleven and three hundredths.
Step-by-step explanation:
A calculator that cost $60 in 1980 now sells for $10. What was the percent of decrease
Answer: 16.6%
Step-by-step explanation:
$60 divided by 6 = $10
so divide 100 by 6 and you get about 16.6
I Hope this Helps!
At the local gas station gasoline costs $2.75 for per gallon and diesel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor.
Answer:
The total amount paid by Gabriel at the local gas station is $70.49.
Step-by-step explanation:
Cost of gasoline per gallon = $2.75
Cost of diesel per gallon = $3.02
Amount of gasoline Gabriel needs = 15.2 gallons
Amount of diesel Gabriel needs = 9.5 gallons
Compute the total amount paid by Gabriel at the local gas station as follows:
Total Cost = Cost of gasoline × Amount of gasoline
+ Cost of diesel × Amount of diesel
[tex]=(2.75\times 15.2)+(3.02\times 9.5)\\\\=41.8+28.69\\\\=70.49[/tex]
Thus, the total amount paid by Gabriel at the local gas station is $70.49.
HELP ME IF RIGHT MARK BRAINLY
Answer:
A. m+7n+14
Step-by-step explanation:
Add parenthesis to help simplify.
(5m-4m)+(22-8)+7n
Simplify the expression.
m+7n+14
The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year. The cost of resurfacing a mile of 2-lane road is estimated at $84,000. The average starting salary of a worker in the department is $36,000 a year. Select all of the equations that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it spends the entire budget. a \large 84,000m=\frac{1,962,800}{36,000w} b \large \frac{1,962,800+36,000w}{84,000}=m c \large 84,000m-36,000w=1,962,800 d \large \frac{1,962,800-84,000m}{36,000}=w e \large 84,000m+36,000w=1,962,800
Answer:
d \large \frac{1,962,800-84,000m}{36,000}=
e \large 84,000m+36,000w=1,962,800
Step-by-step explanation:
Given the following :
Budgeted amount = $1,962,800
Cost of resurfacing a mile of 2- lane road = $84,000
Salary of additional worker = $36,000
Number of miles = m
Number of workers = w
equations that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, w, if it the entire budget is spent ;
(Cost of a mile of 2-lane road * number of miles) = total budget
(84000m + 36000w) = 1,962,800
To make w, the subject of the formula :
36000w = 1962800 - 84000m
w = (1962800 - 84000m) / 36000
To make m, the subject of the formula :
84000m = 1962800 - 36000w
m = (1962800 - 36000w) / 84000
A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36
Answer:
The answer is $6.00.
Step-by-step explanation:
They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.
The initial fee to enter the garage is option (C) $6.00.
What is the linear equation?The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equations is, T = 6 + 2.50 h
where, h is the parking hours and
T is the total charges in dollars.
The initial fee to enter the garage means there will be no fee for parking,
⇒ [tex]h=0[/tex]
Then the equation becomes,
⇒ [tex]T=6[/tex]
Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.
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i’m having trouble with these problems #2 and #3
Answer:
Im not 100% sure but the answer is 25x^6+40x^3+16
Step-by-step explanation:
(5^3+4)^2
(5x^{3}+4)^{2}
(5x3+4)2
(5^3+4)(5^3+4)
5(5x^3+4) *x^3+4(5x^3+4)
5(53+4)⋅3+4(53+4)+4(5x^{3}+4)
5(5x3+4)⋅x3+4(5x3+4)256+203+4(53+4)
Overall the answer is 25x^6+40x^3+16
what does x equal -13 - 3x = -10
Answer:
ty -11
Step-by-step explanation:
Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
if f(x)=4x^2+1 and g(x)=x^2-5 find (f-g)(x)
Answer:
Answer: 5x² - 4
Step-by-step explanation:
f(x) = 4x² + 1
g(x) = x² - 5
Then
(f + g)(x) = 4x² + 1 + x² - 5
= 5x² - 4
Answer: 5x² - 4
5(x+2)=⅗ (5+10x)
how do i solve
Answer:
7x
Step-by-step explanation:
5(x+2)=⅗ (5+10x) - distribute 5*x= 5x 5*2=10 3/5*5= 3 3/5*10x=6x
5x+10= 3+6x
-5 -5
10=3+1x
10=3+x
-3 -3
7=x
hope this helps!
Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500
Answer:
c
Step-by-step explanation:
bc
Subtracting is the same as blank the blank
Answer:
Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
Step-by-step explanation:
The winner of the city marathon completed the race in 176.85 minutes. Assuming he ran at the same speed the whole time, how many minutes did it take him to run one mile? The marathon was approximately 26 miles long. Round your answer to the nearest tenth. A.68.0 minutes O B.6.7 minutes C. 15.9 minutes o D.6.8 minutes
Answer:
D
Step-by-step explanation:
The answer is 6.809 so rounded is 6.8
Consider the sequence 4,3,2,1, ... what is the f (4)
3(-4/7) I don’t know how to get the answer
Answer:
Step-by-step explanation:
if its 3 - 4/7 then it = 2 3/7
if its 3*-4/7 then it = -12/7 = - 1 5/7
Juan And his little brother had a pizza divided into eight slices of equal size juan ate 5 slices and his little brother ate the rest what fractional part did each person eat? juan ate 5 of 8 slices or his brother ate of 8 slices pieces or?
Answer:
Juan ate 5/8 his little brother ate 3/8
Step-by-step explanation:
Answer:
juan = 5/8
brother = 3/8
On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
Which of the following is a solution to the linear function:
2x + 4y = 16
(2, 4)
(4, 2)
(-2, – 4)
(4,0)
Wes is 4 years older than his sister. Let x be his sister's age. Write an expression that tells how old Wes is.
x+4
if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.
please help me quickly the question is on the image
1. 360 miles in 6 hours
Answer:
60mph
Step-by-step explanation:
Point U is on line segment
TV
. Given TV=8 TU=2, determine the length uv
.
Answer:
Step-by-step explanation:
TV = VU + TU
Subsitute.
8 = VU + 2
-2 -2
VU = 6
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,
TV = TU + UV
As given the length of TV is 8 units, the length of TU is 2 units,
8 units = 2 units + UV
8 units - 2 units = UV
UV = 6 units
Hence, the length of the line segment UV is 6 units.
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Beth takes measurements of her door . The diagonal line is 12 ft and the base is 4 ft . what is the height of her door?
A. 10.1 ft
B. 32 ft
C. 9.5 ft
E. 11.3 ft
Answer:
the answer is E, right?
Step-by-step explanation:
Please Help due in 3 min
Answer:
D y=-4x+1
Step-by-step explanation:
Answer:
C) -4x+1
Step-by-step explanation:
