what's 10x+4 greater than equal to -6
Answer:
x>=-1
Step-by-step explanation:
10x+4>=-6
10x>=-6-4
10x>=-10
x>=-10/10
x>=-1
Find three consecutive odd integers such that the sum of the first is two less than the second,and three more than the third is 70
Answer:
the three consecutive odd integers are 9, 11, and 13.
Step-by-step explanation:
Let's say that the first odd integer is x. The second consecutive odd integer would have to be x+2. (It would not be x+1 because that would result in an even integer. The sum of any two odd numbers is even.) The third consecutive odd integer would be (x+2) +2 or x+4.
The sum of the first, twice the second, and three times the third can be written as:
x+2(x+2)+3(x+4)
This equals 70. We can now distribute and solve for x:
x+2(x+2)+3(x+4)=70
x+2x+4+3x+12=70(distribute)
6x+16=70(combine like terms)
6x=54(subtract 16 from both sides)
x=9(divide by 9)
Thus, the three consecutive odd integers are 9, 11, and 13
hope this helps :)
Answer:
9,11 and 13
Step-by-step explanation:
X+(x+2)+(x+4)= ?
3x+6= ?
70/2=35 35-2=33
3x+6=33
3x=27
x=9
9+22+39=70
What coordinate do lines 2/3x+1/6y=2/3 and 4x+y=4 meet?
Answer:
The coordinates of the lines when both lines meets at point is ( 0, 0 )
Step-by-step explanation:
Given as :
The two lines are
[tex]\frac{2}{3}[/tex]x + [tex]\frac{1}{6}[/tex]y = [tex]\frac{2}{3}[/tex]
And 4 x + y = 4
The coordinate of the lines are obtained when the two lines intersect
Let the coordinate of intersection points are ( x , y )
Now , The first lines as
[tex]\frac{2}{3}[/tex]x + [tex]\frac{1}{6}[/tex]y = [tex]\frac{2}{3}[/tex]
Or, Taking LCM we get ,
[tex]\frac{4x + y}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Cross multiplication both sides
Or, 3 × ( 4 x + y ) = 2 × 6
Or, 3 × 4 x + 3 × y = 12
Or, 12 x + 3 y = 12 ...........A
Other line is 4 x + y = 4
i.e 3 × ( 4 x + y ) = 3 × 4
or, 12 x + 3 y = 12 .........B
Solving both the line equations
(12 x + 3 y ) - ( 12 x + 3 y ) = 12 - 12
I.e x = 0 and y = 0
So coordinates are ( x , y ) = ( 0 , 0 )
Hence The coordinates of the lines when both lines meets at point is ( 0, 0 ) Answer
Find the ratio a:b, if 2a−b/6 = b/3
If 2a−b/6 = b/3, then ratio a:b = 3 : 2
Solution:Given that 2a−b/6 = b/3
We have to find the ratio of a:b
In mathematics, a ratio indicates how many times one number contains another
A ratio between two or more quantities is a way of measuring their sizes compared to each other
let us first solve the given expression
[tex]\frac{2a -b}{6} = \frac{b}{3}[/tex]
On cross multiplication we get,
6a - 3b = 6b
6a = 6b + 3b
6a = 9b
[tex]a = \frac{9b}{6}\\\\\frac{a}{b} = \frac{3}{2}[/tex]
To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number
Therefore ratio a:b = 3 : 2
The least squares line of best fit for a data set with a positive correlation coefficient always has a:
A. positive slope.
B. positive x-intercept.
C. positive y-intercept.
D. Both A and C are correct.
Answer:
A. positive slope.
Step-by-step explanation:
In the least square linear regression of Y on X, the straight line of best fit is given by,
[tex]Y_{s} = \mu_{Y} + \rho \times \frac {\sigma_{Y}}{\sigma_{X}} \times (X - \mu_{X})[/tex] ------------------(1)
[where [tex]Y_{s}[/tex] is the estimated value of Y]
Clearly, here,
Slope pf the line = [tex]\rho \times \frac {\sigma_{Y}}{\sigma_{X}}[/tex]---------------------------------(2)
Y- intercept = [tex]\mu_{Y} - \rho \times \mu_{X} \times \frac {\sigma_{Y}}{\sigma_{X}}[/tex]-----------------(3)
and,
X - intercept = [tex]\mu_{X} - \mu_{Y} \times \frac {\sigma_{X}}{\rho \times \sigma_{Y}}[/tex]----------------(4) [putting [tex]Y_{s} = 0[/tex] in (1) and taking the value of X]
So,
since [tex]\sigma_{Y}, \sigma_{X} > 0[/tex]
[since [tex]\sigma_{Y} = 0[/tex] or [tex]\sigma_{X} = 0[/tex] will result in a degenerate distribution, hence these cases are discarded]
so, correlation coefficient = [tex]\rho[/tex] > 0 implies
A. positive slope. [as evident from (1)]
clearly from (3) and (4) all the other options are false.
Final answer:
A least squares line of best fit with a positive correlation coefficient always has a positive slope, reflecting the positive relationship between the independent and dependent variables. The y-intercept can be positive or negative and is not determined by the correlation.
Explanation:
The question is asking about the characteristics of a least squares line of best fit when there is a positive correlation coefficient. A positive correlation coefficient means that as the value of the independent variable (x) increases, the value of the dependent variable (y) also increases. From this, it follows that the slope of the line ( he m term in the equation) is positive - reflecting the concept that the slope represents the relationship between two variables, with a positive slope indicating a positive relationship.
The y-intercept (the b term in the equation) could be positive or negative, as it represents where the line crosses the y-axis when x is 0, and this point doesn't affect the direction of the relationship between the variables, just the starting level of the dependent variable. Therefore, the correct answer to the question is simply A. positive slope, as this is the only feature guaranteed by a positive correlation coefficient.
A pair of shoes at Nordstrom‘s costs $120. The shoes are on sale for 15% off. You have a coupon that allows you to take an additional 10% off. How much will the shoes cost?
solve the system of equations. (1 point)
x + 3y = −1
2x + 2y = 6
a
(−4, 1)
b
(2, −1)
c
(4, −1)
d
(5, −2)
Answer:
Answer (d): (5, -2)
Step-by-step explanation:
Let's use the substitution method. Eliminate "x" in the second equation. Solving the first equation for x, we get x = -3y - 1. Subbing this for x in the second equation, we get:
2(-3y - 1) + 2y = 6, or, after multiplying as indicated,
-6y - 2 + 2y = 6.
Combining like terms,
-4y = 8, so that y = -2. If y = -2, then x is found from x = -3y - 1 (see above):
x = -3(-2) -1 = 5
Then the solution is (5, -2) (Answer d)
Write the equation of the line perpendicular to + = that passes through (−,−). Write your answer in slope-intercept form.
Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex] = 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ y = 0.25x - 5
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)
Which of the following is the reason for statement #7 in the table above? The choices are,
A) Converse of the alternate interior angles theorem
B) Converse of the corresponding angles theorem
C) Converse of the same side consecutive angles theorem
D) transitive property
Answer:
The reason for statement #7.
C) Converse of the same side consecutive angles theorem.
Step-by-step explanation:
For Parallel Lines:
Same side consecutive angles theorem
When the lines are parallel, the interior angles on the same side of the transversal are supplementary.
Here,
It is Converse Of above Statement
∠ 6 and ∠ 13 are supplementary
i.e
∠ 6 + ∠ 13 = 180°
Therefore the Reason is
C) Converse of the same side consecutive angles theorem.
That is If ∠ 6 and ∠ 13 are supplementary then the Lines are Parallel
i.e t₁ || t₂
Answer:
C) Converse of the same side consecutive angles theorem.
Step-by-step explanation:
If 15 people eats a quarter pound of turkey how much turkey is needed to feed everyone
Four 1/4's = 1 pound
So 4 people would eat 1 pound.
15 people / 4 = 3.75 pounds of turkey is needed.
3.75 is written as 3 3/4 using fractions
Check: 3.75 / 15 = 0.25 = 1/4
the dolphin dives 20 feet below the suface of the ocean. what is the elevation
Answer:
-20 feet
Reasoning:
When your going down when your talking about water the answer is negative.But when your going up the answer will be positive
Answer:
- 20 feet
Step-by-step explanation:
Its also negative because the dolphin is going not up if the dolphin did go up then it positive.
(1+tanx)/(sinx+cosx)=secx
[tex]\frac{1+\tan x}{\sin x+\cos x}=\sec x[/tex] is proved
Solution:Given that,
[tex]\frac{1+\tan x}{\sin x+\cos x}=\sec x[/tex] ------- (1)
First we will simplify the LHS and then compare it with RHS
[tex]\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}[/tex] ------ (2)
[tex]\text {We know that } \tan x=\frac{\sin x}{\cos x}[/tex]
Substitute this in eqn (2)
[tex]=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}[/tex]
On simplification we get,
[tex]=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}[/tex]
[tex]=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}[/tex]
Cancelling the common terms (sinx + cosx)
[tex]=\frac{1}{c o s x}[/tex]
We know secant is inverse of cosine
[tex]=\sec x=R . H . S[/tex]
Thus L.H.S = R.H.S
[tex]\frac{1+\tan x}{\sin x+\cos x}=\sec x[/tex]
Hence proved
I’ll put you as brainliest
Architects often create scale models before the actual building is constructed.
If a scale model has a length of 24 inches and a width of 36 inches, which dimensions are geometrically similar to the model building ?
Building A: 223 feet by 360 feet
Building C: 288 feet by 432 feet
Building D: 364 feet by 576 feet
Building B: 120 feet by 190 feet
Answer:
C
Step-by-step explanation:
432×24= 10368
288×36= 10368
Answer:
BUILDING C
Step-by-step explanation:
To find the answer, we need to find the scale factor. First, divide the given numbers (measurements). So 36/24. This gives us 1.5, our scale factor. Now, to find the correct measurements of the real building, divide the values. So for example, BUILDING C = 288 feet by 432 feet. Divide the two values. You get 432/288= 1.5 Therefore, this building matches our scale factor.
Based on Rudy’s baseball statistics,the probability that he will pitch a curveball is 1/4.if rudy throws 20 pitches,how many pitxhes most likely will be curveballs?
Answer:
5
Step-by-step explanation:
Expected value = probability × number of trials
X = 1/4 × 20
X = 5
what is a linear equation that is parallel to the equation y=5x-4 and passes through the point (16,-12)
Answer:
[tex]\displaystyle -5x + y = -92\:or\:y = 5x - 92[/tex]
Step-by-step explanation:
−12 = 5[16] + b
80
[tex]\displaystyle -92 = b \\ \\ y = 5x - 92[/tex]
If you want it in Standard Form:
y = 5x - 92
- 5x - 5x
__________
[tex]\displaystyle -5x + y = -92[/tex]
I am joyous to assist you anytime.
The circumference of a circle is 35 pi. What is the diameter?
Answer:
Diameter=35
Step-by-step explanation:
If your circumstance is 35pi then the formula would be C=35pi and to find that it would have been C=2 pi r. To find the diameter it would be d=c/pi. So it would be d=35pi/pi. The pi's would cancel out and you have 35 as the diameter and 17.5 as the radius
Check:
C=2 pi r
C= 2 pi 17.5
C=35pi ✅
D=2r
D=2(17.5)
D=35✅
I hoped this helped, I am not sure but this is what I think
© MP.1 Make Sense and Persevere
Meghan's vegetable garden is pictured
below. What is its area?
Answer: Need help with this too
Step-by-step explanation:
determine whether the ordered pair is a solution of the linear inequality
so basically I’ve been graphing linear equations and stuff, but like I don’t get what this means/how to do it
I don’t really need answers, but like an explanation cause I’m really lost
your help would be greatly appreciated and thank you soo muchhh
Step-by-step explanation:
So you solve the equation for x and then solve it for y. If the x and y match the given ordered pair then the answer is yes
Graph the line with the y intercept 8 and slope -6
Answer:
This is answer
rise/run -6/1
y intercept : 8
Step-by-step explanation:
A speed of 220 feet per minute is equal to how many miles per hour
Answer: 2.5 miles per hour
Step-by-step explanation:
this problem is all about conversions
220 ft per minute
first get it to hours, since there is 60 minute in an hour multiply by a factor of 60
220 ft per minute becomes 13200 ft per hour
then you need to covert from ft to mi, there are 5280 ft in 1 mi so divide by 5280
13200 ft per hour becomes 2.5 miles per hour
A road crew can repave 1/30 miles of road each hour. They must repave a road that is 2/5 miles long. How long will it take the crew to repave the road?
Write your answer in simplest form.
2/5= 12/30
The road is 12/30 miles long, they pave 1/30 each hour.
60x12= 720 minutes= 12 hours
To repave the road that is 2/5 miles long, it will take the road crew 12 hours.
Explanation:To find out how long it will take the road crew to repave the road, we need to divide the length of the road by the rate at which they can repave. The road is 2/5 miles long and the crew can repave 1/30 miles per hour. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (2/5) ÷ (1/30) = (2/5) x (30/1) = 60/5 = 12. Therefore, it will take the crew 12 hours to repave the road.
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Company S Per Shirt Shipping
Cool Shirts $8.00 $13.00
Total Tees $7.50 $16.00
How many shirts
must be
purchased so that
the cost is the
same at both
companies?
Answer:
The number of shirts to be purchased for price to be same is 6 .
Step-by-step explanation:
Given as :
The price for cool shirt = $ 8
The shipping charge for cool shirt = $ 13
The price for Tees = $ 7.50
The shipping charge for Tees = $ 16
Now, Let The number of shirts = S
So , According to question
∵ price to be same for both companies
∴ $ 8 × S + $ 13 = $ 7.50 × S + $ 16
Or, $ 8 × S - $ 7.50 × S = $ 16 - $ 13
Or, 0.5 S = 3
∴ S = [tex]\frac{3}{0.5}[/tex]
I.e S = 6
Hence The number of shirts to be purchased for price to be same is 6 . Answer
If Kristen got a 72% on her test that had 25 questions, how many questions did she answer correctly?
Answer: 18 question correct
Step-by-step explanation:
if she got 100% on the test:
100% x 25 question = 25 questions correct
so,
72% x 25 questions = 18 question correct
What is the sum of 2/ 10 +6/100
Answer:
Step-by-step explanation:
2/10+6/100 is the same as 2/10*10/10+6/100
2/10*10/10=20/100
20/100+6/100
26/100
Answer: 26/100
Step-by-step explanation: Find the common denominator, which is 100 multiply both numerator and denominator by 10 which is 20/100 and then add on 6/100 which equals 26/100
Joe bought g gallons of gasoline for $2.85 per gallon and c cans of oil for $3.15 per can.
PART A
What expression can be used to determine the total amount Joe spent on gasoline and oil?
PART B
If he bought 8.4 gallons of gasoline and 6 cans of oil, how much will he have spent in all?
Step-by-step explanation:
PART A
a=total amount
c=cans of oil
g=gasoline
a=2.85g+3.15c
PART B
a=2.85(8.4)+3.15(6)
a=23.94+18.90
a=42.84
Solve x in the equation x12=17.
the solution for ( x ) in the equation [tex]\( x^{12} = 17 \)[/tex] is approximately [tex]\( x \approx 1.170092 \).[/tex]
To solve ( x ) in the equation [tex]\( x^{12} = 17 \),[/tex] follow these steps:
1. Take the 12th root of both sides.
2. Simplify the expression.
Step 1: Take the 12th root of both sides:
[tex]\[ x^{12} = 17 \][/tex]
[tex]\[ x = \sqrt[12]{17} \][/tex]
Step 2: Simplify the expression:
To find the 12th root of 17, you can use a calculator or approximation methods.
[tex]\[ x \approx \sqrt[12]{17} \][/tex]
Using a calculator or approximation methods, we find:
[tex]\[ x \approx 1.170092 \][/tex]
So, the solution for ( x ) in the equation [tex]\( x^{12} = 17 \)[/tex] is approximately [tex]\( x \approx 1.170092 \).[/tex]
Charlie’s pizza charges $12 for a medium cheese pizza plus $2 for each additional topping. The cost of a medium pizza, y, with x toppings is represented by this equation:
y = 12 + 2x
Which graph represents this equation?
Answer:
Graph A is the correct answer.
explanation of the answer:
the line starts between 10 and 15 and continues to increase to the top of the graph.
The equation y = 12 + 2x represents the cost of a pizza given the number of additional toppings. The corresponding graph would be a straight line which starts at $12 on the y-axis (no toppings) and goes up by $2 on the y-axis for each increment of 1 on the x-axis (each additional topping).
Explanation:The equation given in the problem, y = 12 + 2x, is a linear equation that represents the cost of a pizza with an increasing number of toppings.
In this equation, 'x' represents the number of additional toppings and 'y' represents the total cost of the pizza. The graph representing this equation would be a straight line that starts at $12 on the y-axis (representing the cost of a medium
pizza without any additional toppings).
Then, for each increment of 1 on the x-axis (representing adding one topping), the line goes up by $2 on the y-axis (representing the additional cost).
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if fh is an angle bisector of triangle efg with
Answer:
Step-by-step explanation:
How many significant figures does 120 have
Answer:
two significant figures
Step-by-step explanation:
A pet store sold 74 puppies in a week if each puppy is $ 65 how much money would they have made
Answer:
I believe they made $4,550 each week.
Step-by-step explanation:
If they sold 74 puppies in a week, and there are 7 days in a week, You would divide 74 by 7 to get an estimate of 10. So that means that 10 puppies were sold each day. Then, because the puppies cost $65, you would multiple 65 by 10 to get $650. $650 is the amount of money they make in a day. Than multiple 650 by 7 to get $4,550. $4,550 is the amount of money they would have made.
74÷7 = about 10
65×10 = 650
650×7 = 4550