(Help!)
#8 The tables represent some points on the graphs of lines m and n. Which system of equations is represented by lines m and n?
(A) −6x − y = 8 −3x + 2y = 9
(B)6x + y = −8 3x − 2y = 9
(C) 6x − y = −8 −3x − 2y = 9
(D) 6x − y = 8 3x + 2y = 9
#9 A produce company sells crates filled with a mixture of apples and oranges during the holiday season to grocery stores. Each crate contains a total of 72 pieces of fruit. Suppose that a crate has 8 more apples than oranges.
Which system of linear equations can be used to determine the number of pieces of each kind of fruit in the crate?
(A) a + o = 72 o = a + 8
(B) 8a + o = 72 a + o = 8
(C) a + o = 72 a = o + 8
(D) a + 8o = 72 a + o = 8
#10 The tables represent some points on the graphs of lines r and s. Which system of equations is represented by lines r and s?
(A) −4x + 3y = 12 2x − 5y = −10
(B) −4x − 3y = −12 −2x + 5y = 10
(C) 4x + 3y = −12 2x − 5y = 10
(D) 4x − 3y = −12 −2x − 5y = 10
Answers
The linear functions representing the systems of equations in each case are given as follows:
8. (D) 6x − y = 8 3x + 2y = 9
9. (C) a + o = 72 a = o + 8.
10. (C) 4x + 3y = −12 2x − 5y = 10.
What is a linear function?The slope-intercept representation of a linear function is presented by the rule as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.b is the y-intercept of the function, being the numeric value of the function when the input variable x assumes a value of 0.For the line m, we have that when x increases by 6, y increases by 36, hence the slope is:
m = 36/6 = 6.
Considering the positive slope of 6, at x = 0, the numeric value is 12 less than the numeric value at x = 2, hence the intercept is:
b = 4 - 2 x 6 = -8.
Hence the equation is:
y = 6x - 8.
6x - y - 8.
Thus option d is correct.
For item 9, we use the variables a and o. The total is of 72, hence:
a + o = 72.
Suppose that a crate has 8 more apples than oranges, hence:
a = o + 8.
Thus option c is correct.
For line r in item 10, when x increases by 3, y decays by 4, hence the slope is:
m = -4/3.
When x = 0, y = -4, hence the intercept is:
b = -4.
Thus the equation is:
y = -4x/3 - 4
3y = -4x - 4.
4x + 3y = -12.
Meaning that option c is correct.
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Related Questions
what 29,000 divided by 50,000
Answers
Answer:
.58
Step-by-step explanation:
Part A Write a paragraph proof to prove ABC ≌ ABD. Explain in complete sentences each statement and reason. Be sure to give the reason the two triangles are congruent.
Part B Now that you have proven the two triangles are congruent, can you show that ∠CBA ≌ ∠DBA? Explain your reasoning in a complete sentence.
Answers
A. Both triangles have two pairs of corresponding sides and a pair of included angles, therefore, ΔABC ≌ ΔABD by SAS.
B. ∠CBA ≌ ∠DBA by CPCTC.
What is the SAS Congruence Theorem?The SAS congruence theorem state that if we have two triangles that we can show that they posses two pairs of corresponding sides that are equal and a pair of included angles that are also equal, then we can state that the two triangles are congruent to each other
When two triangles are proven to be congruent to each other, every corresponding parts of both triangles will be equal to each other based on CPCTC.
Part A:
We are given that AC ≌ AD, and ∠CAB ≌ ∠DAB.
Also, AB ≌ AB based on the reflexive property.
Therefore, both triangles are congruent to each other based on SAS.
ΔABC ≌ ΔABD
Part B:
Since both triangles are congruent, therefore ∠CBA ≌ ∠DBA by CPCTC.
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What is the inverse of this function? f(x)=1/3x-2
Answers
The inverse of the function f(x) = 1/3x-2 is f^-1(x) = (1 + 2x)/3x.
Inverse of a functionA function f is has an inverse if it is both one-to-one and onto.
Given the function f(x) = 1/3x-2
we replace f(x) with y and make x the subject of the formula to derive the inverse function f^-1(x) as follows ;
y = 1/3x - 2
by cross multiplication
3x - 2 = 1/y
add 2 to both sides of the equation
3x = 1/y + 2
3x = (1 + 2y)/y
divide both sides of the equation by 3
x = (1 + 2y)/y ÷ 3
x = (1 + 2y)/3y
So, f^-1(x) = (1 + 2x)/3x
Therefore, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = (1 + 2x)/3x.
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At the craft store, Tara bought 12 yards of fabric to make tote bags. Each bag requires 1.25 yards of fabric.
Write an equation that shows how the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x.
Answers
The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is y = 12 - 1.25x.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.
The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is
y = 12 - 1.25x.
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Ahmad decided to increase his homework time of 8 hours per week by 15%,
Calculate his new homework time.
Give your answer in hours and minutes.
Answers
Answer:
it's a answer done bro
125 in the ratio 2:3
Answers
Answer:
50:75
Step-by-step explanation:
let the ratio of 2:3 be x
now,
125=2+3x
or,5x=125
therefore,x=125/5
x=25
now,
2x=25*2
=50
3x=25*3
=75
Arun runs a farm stand that sells raspberries and grapes. Each pound of raspberries
sells for $1.50 and each pound of grapes sells for $2.75. Arun made $130.25 from
selling a total of 66 pounds of raspberries and grapes, Determine the number of
pounds of raspberries sold and the number of pounds of grapes sold.
Answers
Answer:
41 pounds of raspberries and 25 pounds of grapes
Step-by-step explanation:
x = pounds of raspberries
y = pounds of grapes
1.50x + 2.75y = 130.25
x + y = 66 --> y = -x + 66
Substitute and solve for x:
1.50x +2.75(-x +66) = 130.25
1.50x - 2.75x + 181.5 = 130.25
150x - 275x + 18150 = 13025
-125x +18150 = 13025
-125x = -5125
x = 41
Substitute x to find y:
41 + y = 66
y = 25
Answer:
There were 41 pounds of raspberries sold and 25 pounds of grapes sold.
Step-by-step explanation:
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours during the week and 14 hours on the weekend, she earns $250.90. If she works 15 hours during the week and 8 hours on the weekend, she earns $204.70. How much more does Charlotte earn per hour on the weekends than she earns during the week? Round to the nearest cent.
$0.40
$1.90
$2.30
$8.10
Answers
The amount that Charlotte earn per hour on the weekends than she earns during the week is: C. $2.30.
How to find the earning per hour?Number of dollars earn per hour during the week = x
Number of dollars earn per hour on the weekend =y
Formulate an equation
13x + 14y = 250.90 Equation 1
15x + 8y = 204.70 Equation 2
Solving for x and y by multiply equation 1 by -8 and equation 2 by 14 -104x - 112y = -2007.20
210x +112y = 2865.80
106x = 858.60
Divide both sides by 106x
x = 858.60/106
x = $8.10
Substitute x into eq 1 so as to solve for y
13(8.10) + 14y = 250.90
105.30 + 14y = 250.90
Subtract 105.30 from both sides
14y = 145.60
Divide both side by 14y
y = 145.60 /14
y = 10.40
Hence,
Additional earning per hour = y-x
Additional earning per hour = $10.40 - $8.10
Additional earning per hour=$2.30 per hours
Therefore the correct option is C.
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What is an equation of the line that passes through the points (-4, -3) and (8, 6)?
Answers
Answer:
Y = 3/4x + 0
Step-by-step explanation:
Find the slope of the line = Rise/Run.
[tex]\frac{-3-6}{-4-8}[/tex] = [tex]\frac{-9}{-12}[/tex]
= 0.75 or 3/4.
Therefore, insert into point slope form using one of the corresponding points; (8, 6) for example;
Y-6 = 3/4(x-8)
= Y-6 = 3/4x-6
and simplify the equation;
Y = 3/4x + 0 also just Y = 3/4x.
Sofia is 38 years old. Write an equation that relates Sofia's age to Tony's age, t. How old is Tony?
(Sofia’s age is 2 times the combined ages of Carlos and Lily - Carlos’s age is 4 more years than Tony’s age - and Lily’s age is one more than 6 times Tony’s age)
Answers
Answer:
Let s, c, y and t represent the ages of Sofia, Carlos, Lily and Tony respectively.
c + y = 2s ------ equation (1)
t + 4 = c ------ equation (2)
6t + 1 = y ------ equation (3)
Since Sofia is 38 years old, substitute s = 38 into equation (1):
c + y = 2(38)
= 76 ------ equation (4)
Substitute equations (2) and (3) into equation (4):
t + 4 + 6t + 1 = 76
7t + 5 = 76
7t = 71
∴ t = 10 (to the nearest whole number)
∴Tony is 10 years old (to the nearest whole number).
A famous piece of artwork was up for bid at a museum auction. The minimum bid was $25,000.
Determine which inequality represents the bid for the artwork.
b ≥ 25,000
b ≤ 25,000
b < 25,000
b > 25,000
Answers
The inequality that represents the bid for the artwork is A. b ≥ 25,000.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, the famous piece of artwork was up for bid at a museum auction and the minimum bid was $25,000.
Let the minimum bid be b. This will be b ≥ 25,000.
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A landscaper has 105 small shrubs to plant on the grounds of a park. he wants to plant the shrubs in equal groups. what different sized groups could he make
Answers
The different-sized groups are three groups of each size (35), five groups of each size (21), and seven groups of each size (15).
Given that;
A landscaper must plant 105 little bushes on a park's grounds. He intends to divide the bushes into equal groups.
We are asked to find what different-sized groups could a landscaper can make.
Here, we use Prime factorization;
Let,
∴ 105 = 3 * 5 * 7
From the above factors, we can find different groups as;
3 groups of each sized 35.
5 groups of each sized 21.
7 groups of each sized 15.
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a client who weighs 70 kg is receiving a solution of 0.9% sodium chloride (normal saline) 500 ml with dopamine 800 mg at 5 ml/hour. how many mcg/kg/minute is the client receiving? (enter the numeric value only. if rounding is required, round to the nearest tenth.)
Answers
1.904 mcg/kg/min is what the client receives.
The number of mcg/kg/minute = flow rate × concentration ÷ mass of client
Flow rate = 12 ml/ hour = 12 /60 = 1/5 = 0.2 ml/min
Formula:
Concentration = mass of dopamine/volume
mass of dopamine = 800mg
volume = 500ml
Concentration = 800/ 500
= 1.6 mg/ml
= 1.6 × 1000 mcg/mg
= 1600 mcg/mg
Here the mass of the client = 70kg
Now calculating mcg/kg/minute = flow rate× concentration÷ mass of client
= 0.08 ml/min × 1600mcg/ml ÷70 kg
= 320/70
= 1.904 mcg/kg/min
Therefore mcg/kg/min is 1.904.
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Express 60 as the product of its prime factors.
60 = (Answer here)
Answers
Answer:
2x2x3x5= 60
I hope you like it
Answer:
2 X 2 X 3 X 5
Step-by-step explanation:
We divide 60 by 2 as many times as possible to get 60 = 15 x 2 x 2. 2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.
A steel ball is melted down to make eight smaller identical balls. If the radius of the
original steel ball was 20 cm, calculate to the nearest millimetre the radius of each of the smaller balls.
Answers
The radius of each of the smaller balls is R = 2r.
Define volume of circle.You can use a tape measure, for instance, to directly measure the distance around the sphere's widest point. The radius of this circle, which serves as the sphere's circumference, is one. A circle's circumference is computed as 2 x x radius. Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We can use the following formula to get the volume of a sphere whose radius is "r": A sphere's volume is equal to 4/3r³.
Given,
A steel ball is melted down to make eight smaller identical balls. If the radius of the original steel ball was 20 cm:
Let the spherical ball's radius be R.
And with r being the radius of 8 similar balls,
According to the inquiry,
Volume of 8 similar balls = the volume of a larger sphere
3/4πR³ = 8 × 3/4πr³
R³ = 8r³
R = 2r
The radius of each of the smaller balls is R = 2r.
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7.69 to the nearest whole number.
Answers
Answer: 8
Step-by-step explanation:
7.69 to the nearest whole number is 8
Translate "eight more than the sum of y and x" into a variable expression.
Answers
Answer:
(y+x)+8
it is expressed like that i think
Answer:
(Y+x)+8
Step-by-step explanation:
when using percentiles with normally distributed scores, differences between raw scores may be .
Answers
The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.
What is meant by normally distributed?The mean and standard deviation of a normal distribution are 0 and 1, correspondingly. It has a kurtosis of 3 and zero skew.Not every symmetrical distributions are normal, but all normal distributions are symmetrical.68.2% of observations would fall within +/- 1 standard deviation of a mean including all normal distributions, 95.4% will fall in +/- two standard deviations, and 99.7% will fall within +/- 3 different deviations.For the given question.
The difference in the percentiles and raw scores is-
When presented in ascending order in statistics, a percentile rank / score signifies the percentage of the population that drops below it. By translating the raw score into an analogous z-score through using empirical z-distribution table, the percentile for such a raw score may be established.To know more about the normally distributed, here
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this shows that the percentage in a normal distribution that is at most 1.65 sds above average is about 95%. explain why 1.65 is the right number of sds to use when constructing a 90% confidence interval. (6 points)
Answers
The correct number of Standard deviation to generate a confidence interval is therefore 1.65.
Given that;
This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.
Percentage above 1.65 SD equals 100 - 95 = 5.
Now, because of the symmetric distribution,
Percentage above 1.65 SD = % below 1.65 SD is what we can see:
Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%
=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%
=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%
The correct number of SDs to generate a confidence interval is therefore 1.65.
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Can anyone answer question 8?
Answers
a car travels 75 miles in the same amount of time that it takes another car, moving 10 mph faster that has traveled 100 miles. what is the number of miles per hour in the speed of the faster car?
Answers
The speed of the faster car is 40 miles/hr.
both cars travel for same time , so let that time be 't'
car 1 :
distance travelled = 75 miles
let the speed of the car be = x miles/hr
∴ time (t) = distance / speed
t = 75 / x .............(1)
car 2 :
distance travelled = 100 miles
speed of the car is = x + 10 miles/hr ( already provided )
∴ time ( t) = distance / speed
t = 100/ (x+10) ..............(2)
now as the time for both the cases is same , so we equate eqn (1) and eqn (2) .
∴ 75/x = 100/ (x+10)
3x + 30 = 4x
x = 30
so the speed of the 1st car will be 30 miles / hr
and the speed of the 2nd car ( faster car ) will be x + 10 = 40 miles/hr
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Determine the total number of Fish food cubes that will fill the shipping box
Answers
I hate to leave you without an answer, but there isn't enough information to be able to answer your problem.
a telemarketing company is conducting a study of new calling scripts. seventy-five employees will be randomly assigned to three new scripts using a table of random digits. the study leader will assign the subjects to the groups using a table of random digits. how many unique two-digit numbers within the range of 01 to 75 will the study designer need to select from the table? 3 25 50 75
Answers
Answer:
50
Step-by-step explanation:
Equation 1: y = 2²
Equation 2: y=2x-5
Equation
3: y = x² +6
Equation 4: y=
Witch one is non linear
Answers
From the given three options the equation y = x^2 + 6 is non - linear.
What is linear equation?
A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.
Consider, the first equation
y = 2^2
⇒ y = 4
Since, the constant equations are linear.
So, first equation is linear.
Consider, second equation
y = 2x - 5
Here, the variable x and y both having degree 1.
So, second equation is also linear.
Consider, third equation
y = x^2 + 6
Here, the variable y having degree 1, but the variable x having degree 2.
Therefore, equation (3) is non - linear.
Hence, the equation y = x^2 - 5 is non - linear.
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What are the domain and range of the function?
f(x) = -4√x
Answers
The domain is x [tex]\geq[/tex] 0. interval notation: [0,[tex]\infty[/tex])
the range is f(x)≤0, interval notation: (-[tex]\infty[/tex],0 ]
What are the domain and range of a function?
The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.
A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)
Find domain:
Set the term under the square root [tex]\geq[/tex]0
So, the domain is x [tex]\geq[/tex] 0. interval notation: [0,[tex]\infty[/tex])
Find range:
The range of a radical function of the form -c√(ax+b) +k is f(x)≤k
So, the range is f(x)≤0
interval notation: (-[tex]\infty[/tex],0 ]
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386666666667/100000000000 simplest fraction
Answers
Answer: ___________________________________________
58/15
Kelly grows potatoes.
She has 2500 kg of potatoes, correct to the nearest 10kg.
Kelly is going to put the potatoes into sacks.
Each sack will contain 12. 5 kg of potatoes.
Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.
(a) Does Kelly definitely have enough potatoes to fill 200 sacks?
You must show how you get your answer
Answers
Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.
What is weight?The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.
Here,
weight of potatoes she has=2500 kg
weight of each sack that contain the potatoes=12.5 kg
with this, she can fill,
=2500/12.5
=200 sacks
Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.
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What do you need to multiply the subtotal by in order to get the total?
Given: Subtotal: 42.00
Total: 45.99
Tax rate: 9.5%
Sales tax: $3.99
Answers
a fruit stand has to decide what to charge for their produce. they need \$10$10dollar sign, 10 for 444 apples and 444 oranges. they also need \$12$12dollar sign, 12 for 666 apples and 666 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?
Answers
No, we cannot find a unique price for an apple and an orange
Let the price of an apple be $x and that of orange be $y.
Condition 1.
They need $10 for 4 apples and 4 oranges.
Then, 4x + 4y = 10
or, 2x + 2y = 5 .....(1)
Condition 2.
They need $12 for 6 apples and 6 oranges.
Then, 6x + 6y = 12
or, 2x + 2y = 5 .....(2)
Two identical linear equations have been discovered.
They do, however, create a system of dependent linear equations that reduces to:
2x + 2y = 5
There are infinite possible solutions to this linear equation.
Thus, we get the conclusion that an apple and an orange cannot have different prices.
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Find the slope of the line passing through the points (4, -2) and (9, -2).
slope:
Find the slope of the line passing through the points (2, 9) and (2, - 7).
slope:
Answers
Answer:
x1 y1 x2 y2
1. 0 - explanation - (4, -2) (9, -2) -2 - -2
4 - 9 (put a fraction bar when you put the y2 and y1 together and put the x2 and y2 in the denominator spot) basically -2 subtract -2 equals 0
2. it would be defined or 0