y< 1/4x and y< -6x+6 are graphed on the coordinate plane
Answer:
See attachment
Step-by-step explanation:
To graph
[tex]y \: < \: \frac{1}{4} x[/tex]
You first graph the boundary line
[tex]y = \frac{1}{4} x[/tex]
This is a dashed line going through the origin with slope 1/4.
We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.
To graph
[tex]y \: < \: - 6x + 6[/tex]
We first graph line
[tex]y = - 6x + 6[/tex]
By plotting (0,6), and (1,0)
We draw a dashed boundary line.
We test the origin:
0<6 which is true so we shade the left half-plane .
The intersection of both shaded regions represent the solution set.
The graph us shown in attachment.
The time taken for a journey on a motorway varies inversely as
the average speed for the journey. The journey takes 1.5 h
when the average speed is 54 miles per hour. Identify the time
taken in hours for this journey when the average speed is 45
miles per hour.
Time that will be taken at speed of 45 miles/hr is 1.8 hrs
Step-by-step explanation:
Step 1: Given the speed of the journey = 54 miles/hr and time = 1.5 hours. Find the distance of the journey using the speed formula.Distance = Speed × Time
= 54 × 1.5 = 81 miles
Step 2: Calculate the time taken for this journey given speed = 45 miles/hrTIme = Distance/Speed
= 81/45 = 1.8 hrs
6K2 - 10k + 50
How to factor
Answer:
there are no real solutions
Step-by-step explanation:
The discriminant is (-10)² - 4*6*50 is below zero, hence there are no solutions.
Suppose a city with population 200,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 18 years
Answer:
In 18 years time, the population of the city is approximately 705,084
Step-by-step explanation:
From the given information, the initial population is
[tex]P_0=200000[/tex]
The growth rate is 7% or r=0.07.
For a population with a continuous growth rate, the equation is that models it is:
[tex]P(t)=P_0 {(e)}^{rt} [/tex]
[tex]P(t)=200000 {(e)}^{0.07t} [/tex]
To find the find the population after 18 years, we substitute t=18 into:
[tex]P(18) = 200000{(e)}^{18\times 0.07} [/tex]
[tex]P(18)=705084.3[/tex]
a)The equation of a line β is 2x-3y=6
find the gradient of β
b) find the equation of the line which is parallel to β and passes through the point (6,9)
Answer:
a) 2/3
b)[tex]y = \frac{2}{3} x + 5[/tex]
Step-by-step explanation:
b) From my previous answer...
Since parallel lines have the same gradient,
the gradient of the line is 2/3 too.
Thus, m= 2/3.
y= 2/3x +c
Now substitute a coordinate into the equation to find c, the y-intercept.
When x=6, y=9,
9= (2/3)(6) +c
9= 4 +c
c= 9 -4
c= 5
Thus the equation of the line is y= 2/3x +5.
write the repeating decimal as a mixed number; 4.1111...
Answer:
Step-by-step explanation:
Find the approximate volume of the cylinder shown in the diagram.
Answer: D
Step-by-step explanation:
trust me
The approximate volume of the cylinder shown is [tex]3017 cm^3[/tex] and the correct answer is option A.
Let's find the approximate volume of the cylinder shown in the diagram through the following Step-by-step process.
Identify the formula for the volume of a cylinder:The volume of a cylinder can be calculated using the formula [tex]V=\pi r^2h[/tex], where r is the radius of the base and h is the height of the cylinder.
Measure the radius and height from the diagram:From the diagram, estimate that the radius is [tex]r=\frac{17}{2} cm[/tex] (since the diameter is 17 cm) and the height is [tex]h=19 cm[/tex].
Substitute the values into the formula:[tex]V=\pi\times r^2h\\\\=\pi\frac{17}{2} ^2\times19\\\\\approx \frac{5491}{4} \pi[/tex]
Round the answer to the nearest integer:[tex]V=3017 cm^3[/tex] (rounded to the nearest integer).
Thus the approximate volume of the cylinder is [tex]3017 cm^3[/tex] corresponding to option A
Note: Since we used an approximation for the radius, the final answer is also an approximation.
6. Margit works in a factory. She receives a salary of $15 per hour and piecework pay of 17 cents per
unit produced. Last week she worked 38 hours and produced 755 units.
a) What was her piecework pay?
Answer:
755*17 cents=12835 cents= 128.35$
Step-by-step explanation:
Margit's piecework pay is calculated by multiplying the number of units she produced (755 units) by the pay she receives per unit (17 cents). Therefore, her piecework pay was $128.35 for last week.
Explanation:To find out Margit's piecework pay, we need to multiply the number of units she produced by the pay she receives per unit. In this case, Margit produced 755 units and she earns 17 cents per unit. So, her piecework pay is calculated as follows: 755 units * $0.17/unit.
Therefore, Margit's piecework pay for last week was $128.35.
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how to subtract and add polynomials
Answer:
To subtract, first reverse the sign of each term we are subtracting (in other words turn "+" into "-", and "-" into "+"), then add as usual.
To add here is an example not sure if entirely right but here it is.
Start with:2x2 + 6x + 5 + 3x2 − 2x − 1.
Place like terms together:2x2+3x2 + 6x−2x + 5−1.
Which is:(2+3)x2 + (6−2)x + (5−1)
Add the like terms:5x2 + 4x + 4
Final answer:
To add or subtract polynomials, align like terms, add or subtract their coefficients accordingly, and ensure to distribute the negative sign across a polynomial when subtracting. Treat polynomial addition and subtraction like usual arithmetic, applying rules for positive, negative, and opposite signs.
Explanation:
Adding and subtracting polynomials is a straightforward process that involves combining like terms. Here is a step-by-step guide:
When adding polynomials, align terms with the same variable and exponent (like terms) vertically.
Next, add or subtract the coefficients of these like terms while keeping the variable part the same.
When you encounter subtraction, it's helpful to distribute the negative sign across the polynomial that is being subtracted, effectively changing the sign of each term in that polynomial.
After changing signs where necessary, proceed with addition as described above.
Remember that addition and subtraction of polynomials adhere to the usual arithmetic rules:
Adding two positive numbers gives a result with a positive sign.
Adding two negative numbers yields a result with a negative sign.
When adding numbers with opposite signs, subtract the smaller absolute value from the larger one, and the result takes the sign of the larger number.
For subtraction, change the sign of the subtracted number and then add as outlined.
Similar methods apply to vector addition and subtraction, scalar operations, and polynomial graphing. Keep these principles in mind while working through your math problems.
please helppp meee I am struggling
Answer:
the number of cookies ordered
Step-by-step explanation:
When an equation is written in the form ...
(left variable) = (some expression involving one or more right variables)
we usually describe the "left variable" as the "dependent variable" and the "one or more right variables" as the "independent variable(s)".
Here, the equation is given as ...
C = 3s + 30
__
This tells you C is the dependent variable, and s is the independent variable. The description also says "C is the number of cookies." Since you know that the dependent variable is the number of cookies, you can answer the question ...
the dependent quantity is the number of cookies ordered. (matches the first choice)
Find the value of x. The angle measures of a right triangle are
30°
2x°
3x°
Answer:
30
Step-by-step explanation:
Exterior angle equals sum of opposite interior angles
3x = 2x + 30
3x - 2x = 30
x = 30
Answer:
x=30
Step-by-step explanation:
all interior angles in a triangle must equal 180 degrees
2x+30+90=180
2x+120=180
2x=60
x=30
you can check by substituting 30:
2(30)+30+90
60+30+90=180
another way to do this:
3x is an exterior angle
however it is a supplementary one as well
that means tht
3x+90=180
3x=90
x=30
you get the same answer either way
HOPE THIS HELPS!
Suppose the company surveys only people living in large cities, such as New York and Los Angeles. If the company makes
a generalization from this survey, how will the generalization be biased?
Answer:
The generalization will be biased because people living in cities that are not as big as New York, Los Angeles and rural areas of the country were excluded from the possibility of being included in the sample.
Step-by-step explanation:
The sample is therefore not a true representation of the population.
Final answer:
The generalization would be biased because it only includes opinions from large cities, which aren't representative of the entire population, leading to sampling bias. This results in a biased sample as it overlooks the diversity in lifestyles and circumstances found in different geographic areas.
Explanation:
If a company conducts a survey among people who only live in large cities like New York and Los Angeles, and then makes a generalization from this survey, the generalization will be biased. This is because the perspectives of people living in large cities are not necessarily representative of the entire population, which includes people from smaller towns, rural areas, and different socioeconomic backgrounds. Such a sampling method leads to a sampling bias, since it does not adequately reflect the diversity of the whole population.
For instance, urban populations may have different lifestyles, access to services, and daily challenges compared to those living in suburban or rural areas. Therefore, if a survey's findings from a city population are applied to the general population, it may result in an inaccurate picture of the opinions, behaviors, or characteristics of the entire population. This exemplifies a biased sample, as the sampling method does not capture the full range of variables affecting the population as a whole.
jalen jogged 10 miles due north, then turned due west and jogged 5 more miles. How msny miles is jalen from his starting point?
Answer:
Jalen is 11.18 miles from his starting point.
Step-by-step explanation:
Given:
Jalen jogged 10 miles due north, then turned due west and jogged 5 more miles.
Now, to find miles Jalen jogged from his starting point.
So, below is the figure attached to describe the scene.
Now, to get the distance of Jalen jogged from his starting point we use pythagoras theorem:
[tex]AB^2+BC^2=AC^2\\\\10^2+5^2=AC^2\\\\100+25=AC^2\\\\125=AC^2[/tex]
Using square root on both sides we get:
[tex]11.18=AC\\\\AC=11.18\ miles.[/tex]
Therefore, Jalen is 11.18 miles from his starting point.
Answer:
11.18 miles
Step-by-step explanation:
Joey has 8 pairs of socks in his drawer. Five of them are white. What percent of colored socks does Joey have.
When finding the area of a circle if you are given the diameter how will you solve to find the radius
Zoe visits a departmental store to pick a can of salted mixed nuts. A 15.25 oz can of
mixed nuts is priced at $7.93 and the offer on a 25 oz can is $11.75. Assist Zoe pick up
the better deal.
Answer:15.25oz can
Step-by-step explanation:
what is the value for x
someone please help :)
Yo sup??
in the given figure
9y-3=69
9y=72
y=8
now by angle sum property
9y-3+69+5x+2=180
5x=40
x=8
Hope this helps
Answer: [tex]x=8[/tex]
Step-by-step explanation:
So seeing the equation
[tex](9y -3)[/tex] [tex]y=8[/tex] [tex](9(8)-3) =69[/tex]
therefore, 69 +69 =138
and then that only means the secound equation has to equal 42 because all angles has to equal to 180 degrees, therefore:...
[tex](5x +2)=x=8[/tex] [tex](5(8)+2)=42[/tex]
Hope this helps please give brainliest!
Which best describes the following equation of 3 (5x + 8) =4 (6x + 9)
Answer:
x = -4/3
Step-by-step explanation:
Step 1: Distribute
3(5x + 8) = 4(6x + 9)
15x + 24 = 24x + 36
Step 2: Subtract 15x from both sides
15x + 24 - 15x = 24x + 36 - 15x
24 = 9x + 36
Step 3: Subtract 36 from both sides
24 - 36 = 9x + 36 - 36
-12 = 9x
Step 4: Divide both sides by 9
-12 / 9 = 9x / 9
-4/3 = x
Answer: x = -4/3
Which of the following is 47 to the
nearest tenth?
OA) 6.9
OB) 8
OC) 68.5
OD 9.2
Its C if you are estimating. But there is no other exact answer.
Lee is sending out 32 birthday invites she gives 5 to family and a third of the rest how many invites has already mailed
Answer:
9
Step-by-step explanation:
32
-5
----
27
÷3
----
9
Hope it helped
There are 9 invitations mail that has already been mailed.
What is the fraction?A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
Lee is sending out 32 birthday invites she gives 5 to family and a third of the rest,
The number of invitations Leah has already mailed is given by;
Number of invitations mailed = 1/3 x (total invitation - invitation mom delivered)
Number of invitations mailed =1/3 x (32 - 5)
Number of invitations mailed =1/3 x (27)
Number of invitations mailed = 9
Hence, there are 9 invitations mail that has already been mailed.
Learn more about fractions here;
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Maria brought 17 packs of cola to a party , and each pack had 6 cans . Heather brought 9 cans of juice . How many cans did they bring in all ?
Answer:
Step-by-step explanation:
Maria:
No. of cans in a pack = 6
No.of cans in 17 pack = 6 * 17 = 102 cans
No. of cans bought by Heather = 9 cans
Total cans = 102 + 9 = 111 cans
An ipad is worth R1200, excluding 15% VAT. What is the selling price of the ipad including VAT
Answer:
R1,380
Step-by-step explanation:
The price of the iPad without VAT is R1200
We calculate 15% to get;
[tex] = \frac{15}{100} \times 1200[/tex]
[tex] = 180[/tex]
Now the selling price of the iPad including VAT
[tex]1200 + 180[/tex]
[tex] = 1380[/tex]
Therefore, the selling price of the ipad including VAT is R1380
To find the selling price of the iPad including 15% VAT, calculate 15% of R1200, which is R180, and add it to the base price, leading to a total of R1380.
The selling price of an iPad including VAT can be calculated by first determining what 15% of the base price is, and then adding it to the base price. The base price is R1200.
To calculate 15% VAT:
Convert 15% to a decimal by dividing by 100: 15% / 100 = 0.15.
Multiply the base price by this decimal to get the VAT amount: R1200 imes 0.15 = R180.
Add the VAT to the base price to find the total selling price: R1200 + R180 = R1380.
Therefore, including 15% VAT, the selling price of the iPad is R1380.
Solve the equation
5* = 125
Answer:
x=3
Step-by-step explanation:
[tex]5^{x} = 125\\5^{x} = 5^{3} \\x=3[/tex]
Answer: 5 raised to power of 3
Step-by-step explanation:
5×5×5=125
pookie weighs 12 7/8 pounds. Rascal weighs 13 3/8 pounds. what is totals weight of both cats
Answer:
26.25
Step-by-step explanation:
BRAINLIEST PLUS POINTS
over the complete assessment period, Jenny averaged 35 out of a possible 40 marks for her eight math tests. When she was checking her files, she could find only seven of the test. For these she scored 29, 36, 32, 38, 35, 34 and 39. How many marks did she score for the eighth test?
Show full working out ty
Answer: 37
Step-by-step explanation:
Let X represents the score for the eighth test
Hence ( 29+36+32+38+35+34+39+X ) ÷8 =35
243+X /8 =35
243+X =35×8
243+X=280
X = 280-243
X= 37
Rory has 3 pounds of ground beef to make meatballs. He uses 3/8 pound per meatball to make 7 meatballs. How many 1/8-pound meatballs can rory make with the remaining beef
Rory can make 3 additional 1/8-pound meatballs with the remaining 3/8 pounds of beef after making 7 meatballs that use 3/8 pound each.
Explanation:Rory has initially 3 pounds of ground beef. Since he uses 3/8 pound per meatball to make 7 meatballs, we first need to calculate the total beef used for 7 meatballs by multiplying 7 (the number of meatballs) by 3/8 pound (the amount of beef per meatball).
7 meatballs × 3/8 pound/meatball = 21/8 pounds
Now, to find out the remaining beef, subtract the beef used from the total beef available:
3 pounds - 21/8 pounds = 24/8 pounds - 21/8 pounds = 3/8 pounds remaining.
With the remaining 3/8 pounds of beef, Rory wishes to make 1/8-pound meatballs. To find out how many 1/8-pound meatballs he can make, we divide the remaining beef by 1/8 pound:
3/8 pounds ÷ 1/8 pound/meatball = 3 meatballs.
Rory can make 3 additional meatballs, each weighing 1/8 pound, with the remaining beef.
Please I need help. You need 5 to answer 6. Thank you!
With ❤️
-Cplayz
Answer:
Question 5.
89.10
Question 6.
Yes, Lucy will have enough money.
Step-by-step explanation:
Question 5.
3*4*9=108
108/2=54
54*1.65=89.10
Question 6.
26*5=130
They will make $130 from fundraising. $89.10 are needed to purchase the soil. 130>89.1
The face of a triangular-shaped guitar has an area of 52 square inches and a height of 13 inches. Write an equation to find the length of the base. Then find the length of the base of the guitar’s face.
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 b*h
The area is 52 and the height is 13
52 = 1/2 b*13
52 = 13/2 b
Multiply each side by 2/13 to isolate b
52*2/13 = 2/13*13/2 b
8 = b
The length of the base is 8 inches
A satellite views the earth at an angle of 20°. What is the arc measure, x, that the satellite can see?
Answer:
The measure of the arc is 160 degrees
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The measure of the external angle is the semi-difference of the arches it covers.
so
[tex]20^o=\frac{1}{2}[(360-x)^o-x^o][/tex]
solve for x
[tex]40^o=360^o-2x[/tex]
[tex]2x=360^o-40^o\\2x=320^o\\x=160^o[/tex]
The arc measure that the satellite can see is 20°.
Explanation:An arc measure is the central angle that corresponds to a given arc on a circle. In this case, the satellite views the earth at an angle of 20°. The arc measure that the satellite can see is also 20°.
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Is 7/8x proportional or non proportional
Answer: it is proportional
Step-by-step explanation:
This is my answer because 7/8x can be written in the form y=mx+b. What does this mean?
Well, y=mx+b is slope intercept form, where m is the slope and b is the y intercept , or where the line first crosses the y axis. you can write 7/8x in slope intercept form as:
y= 7/8x+0
Also, you can see that the y intercept is 0, which means the line passes through the origin, or the point 0,0 on the coordinate plane. Therefore it must be proportional because every line that passes through 0,0 (the "origin") is proportional.
I think the other person is wrong..he/she didnt explain their reasoning..