X< or equal to 8 because x is less than 8 or equal to 8 and x is any number that could be 8 or any number that is less.
Helaine graphed the equation 12x – 4y = 3. What was the slope of Helaine’s line?\
Answer:
[tex]\large\boxed{\text{The slope}\ m=3}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line in the standard form:
[tex]12x-4y=3[/tex]
Convert to the slope-intercept form:
[tex]12x-4y=3[/tex] subtract 12x from both sides
[tex]-4y=-12x+3[/tex] divide both sides by (-4)
[tex]y=\dfrac{-12}{-4}x+\dfrac{3}{-4}\\\\y=3x-\dfrac{3}{4}[/tex]
Answer: The required slope of the given line is 3.
Step-by-step explanation: Given that Helaine graphed the following equation :
[tex]12x-4y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the slope of the line.
We know that
the slope-intercept form of a straight line is given by
[tex]y=mx+c,[/tex] where m is the slope of the line.
From equation (i), we have
[tex]12x-4y=3\\\\\Rightarrow 4y=12x-3\\\\\Rightarrow y=\dfrac{12x-3}{4}\\\\\\\Rightarrow y=3x-\dfrac{3}{4}.[/tex]
Comparing with the slope-intercept form, we get
slope, m = 3.
Thus, the required slope of the given line is 3.
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
step 2 and it was to be 8x-16=8+8+2x
Step 2 it would be 8x-16=8+2x+8
what percent is 18 out of 30?
Answer:
60%
Step-by-step explanation:
p/100 = 18/30
Multiply each side by 100
p/100 *100 = 18/30 *100
p = 60
18 is 60 percent of 30
The number 18 out of the number 30 is 60 percent.
We need to find what percent is 18 out of 30.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 18/30
= 9/15
= 3/5
= 0.6
In percentage 0.6×100
= 60%
Therefore, the number 18 out of the number 30 is 60 percent.
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PLEASE HELP ASAP ILL REALLY APPRECIATE IT
Answer:
see below
Step-by-step explanation:
2.5 = 2 5/10 = 250%
40% = .40 = 40/100 = 4/10 =2/5
220% = 220/100 = 2 20/100 = 2 2/10 = 2 1/5
1/4 = 25/100 = 25%
4% = 4/100 = .04
2.5 =2/5
0.004 =4%
220% = 2 1/5
1/4 =25%
Can someone help me with matching? Will mark brainliest for the correct answer
Answer:
nails are cleavage rocks are luster flash light is color and hammer is hardness
Step-by-step explanation:
the flash light is color because if you refleact it off of some thing it whould make light whitch is basically color. rocks l is luster because rocks can gentle sheen or soft glow, especially that of a partly reflective surfacehammer is hardness because i bang it it is hard and nails are cleavage because a sharp division; a split hope i get brainlist witch will never happen will hope this help and let me know if you got it right..
what is z if 6 = 1/2 z
Answer:
z = 12
Step-by-step explanation:
12 divided by .5 = 6.
Freddy exercised 2.5 hours per 4 days. He burned 330 calories per hour. How many calories did Freddy burn by exercising?
multiply
[tex]330 \times 2 \\ 660 \times 4 \\ then \: the \: answer \: plus \\ \: 330 \div 2 \\ 165 \times 2[/tex]
that will be the answe
2964 calories
Answer: He burned 3.300 calories.
Step-by-step explanation: 330 (calories he burns per hour)× 2.5 (hours he exercised)= 825
825 (calories he burns per day)× 4 (days)= 3.300 (calories he burned by exercising)
I hope this helped you!!
Factor 5n2 - 12n - 9 A) (n + 3)(5n - 3) B) (2n - 5)(n - 8) C) (3n - 1)(n + 2) D) (5n + 3)(n - 3)
Answer:
A. 2n-5
Step-by-step explanation:
What is 1.06x2.29? I really need help with this problem.
2.4274 that is the answer
Answer:
2.4274
Step-by-step explanation: just multiply
(6x^2-x+8)-(x^2+2) NEED HELP FOR GRADUATION ASAP THX***
I recommend this app called photomath it is unlimited and you just take a picture of the questions
Answer:
A
Step-by-step explanation:
given
6x² - x + 8 - (x² + 2) ← distribute parenthesis by - 1 )
= 6x² - x + 8 - x² - 2 ← collect like terms
= 5x² - x + 6 → A
help me quick please look at the pic
It’s 140 degrees. The angles are congruent from their pair.
a is 35 because vertical angles
b is 55 because triangle sum
90(right angle)+35(a)+b=180
180-90=90-90+35+b
90=35+b
-35 -35
55=b
c is 110 because linear pairs
180-70=c
Mia did a study for a health class about the effects of the length of a person's foot and their shoe size. Based on a graph of her data, she found that there was a relationship between the length of a person's foot and their shoe size. Which of the following is a valid conclusion? A. The length of a person's foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person's foot and their shoe size. B. There is no correlation between a person's shoe size and the length of their foot. C. A person's shoe size is a cause of the length of their foot. D. No conclusion can be drawn about the correlation or causation between a person's shoe size and the length of their foot.
Answer: The answer is A.
Step-by-step explanation: The only valid conclusion that is listed in the options is choice A. The correct one is that the length of a person’s foot is a cause of their shoe size, which implies that there is also a correlation between the length of a person’s foot and their shoe size.
Classify each number as rational or irrational. Drag the choices into the boxes to correctly complete the table.
rational irrational
3√
−1/16
0
2√
Answer:
3 = irrational
-1/16 = rational
0 = rational
2 =irrational
Answer: - 1/16 and 0 are rational. 3 and 2 are irrational.
Step-by-step explanation:
Christy rode her bike 60 miles in 5 hours. (A) what was her average speed in miles per hour?
Answer:
12mph
Step-by-step explanation:
Christy rode 60 miles in 5 hours.
60/5 = 12 miles per hour
Answer:
The answer is 12mph.
Step-by-step explanation:
If she rode her bike 60 miles in 5 hours, in order to find 1 hour, you divide 60/5. Every hour, she rode 12 miles per hour.
What is the volume of this right rectangular prism enter your answer in the box 3.5ft 2ft 7ft
Answer:
49 cubic feet
Step-by-step explanation:
suppose the circumference of a crop circle is 150.7968 hectometers (hm) what's the radius of the circle? (usett=3.1416)
Answer:
The radius of the circle is [tex]24\ hm[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
In this problem we have
[tex]C=150.7968\ hm[/tex]
[tex]\pi=3.1416[/tex]
substitute and solve for r
[tex]150.7968=2(3.1416)r[/tex]
[tex]r=150.7968/(2(3.1416))=24\ hm[/tex]
Answer:
24 hm
Step-by-step explanation:
I got the question.
Which of the following expressions is equivalent to -3(-x+12)
Answer:
the correct answer is 3x-36
A petroleum laboratory technician is working at a petroleum storage depot in the oil-analysis laboratory. The lab tech is running tests on a sample from a 45-gallon oil-solvent mixture that contains 18 gallons of oil.
What is the ratio of the number of gallons of oil to the number of gallons of solvent?
The ratio of the number of gallons of oil to the number of gallons of solvent is 2:3.
Explanation:The ratio of the number of gallons of oil to the number of gallons of solvent can be determined by subtracting the number of gallons of oil from the total volume of the mixture and then dividing by the number of gallons of solvent. In this case, the total volume of the mixture is 45 gallons and the number of gallons of oil is 18. So, the number of gallons of solvent is 45 - 18 = 27. Therefore, the ratio of the number of gallons of oil to the number of gallons of solvent is 18:27, which can be simplified to 2:3.
What is the domain of the function y= sqrt3/x ? plese help
Answer:
all reals, except at x=0
Step-by-step explanation:
because x is in the denominator, x cannot equal 0
For this case we have a function of the form [tex]y = f (x),[/tex]where:
[tex]f (x) = \sqrt {\frac {3} {x}}[/tex]
we must find the domain of the function.
The domain is given by all the values for which the function is defined.
Note that "x" is not defined for negative numbers or for zero. Then x can only take strict higher values to zero.
Domain: {x | x> 0}
Answer:
Domain: {x | x> 0}
i need help with this question fast!!!
I agree with the one above.
the price of a climbing trip to mount kilimanjaro includes an initial fee plus a constant fee per meter. the table compares the total distance of a trip (in meters) and the price of the trip (in dollars).
Answer:
[tex]200\ m[/tex]
Step-by-step explanation:
Let
x------> total distance of a trip
y-------> the price of a trip
step 1
Find the slope
Let
[tex]A(70,114.1),B(100,118)[/tex]
[tex]m=\frac{(118-114.1)}{100-70}=0.13\frac{\$}{m}[/tex]
step 2
Find the equation of the line into point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=0.13[/tex]
[tex]A(70,114.1)[/tex]
substitute
[tex]y-114.1=0.13(x-70)[/tex]
[tex]y=0.13x-9.1+114.1[/tex]
[tex]y=0.13x+105[/tex]
step 3
For [tex]y=\$131[/tex]
Find the value of x
substitute in the linear equation and solve for x
[tex]131=0.13x+105[/tex]
[tex]0.13x=131-105[/tex]
[tex]x=26/0.13=200\ m[/tex]
Answer:
$0.13
Step-by-step explanation:
Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
Answer:
The dog needs eat 4.6 meals
Step-by-step explanation:
Due to:
7/8 lb ----> 4 meals
1 lb --------> X meals
X = [(1 lb)*(4 meals)] / [7/8 meals]
X = 4.6 meals
Best regards
The slope of the line passing through the points (-3, 4) and (-5, -6) is -1 5 1/4
Answer:
5Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the points (-3, 4) and (-5, -6) to the formula of a slope:
[tex]m=\dfrac{-6-4}{-5-(-3)}=\dfrac{-10}{-2}=5[/tex]
what is the horizontal asymptote of the function f(x)= -2x/x+1
Answer:
-2
Step-by-step explanation:
We have been given a function f(x)=\frac{-2x}{x+1} and we are asked to find the horizontal asymptote of our given function.
Recalling the rules for a horizontal asymptote:
1. If the numerator and denominator have equal degree, the horizontal asymptote will be the ratio of the leading coefficients.
2. If the polynomial of denominator has larger degree than the numerator, then the horizontal asymptote will be the x-axis or y=0.
3. If the polynomial of numerator has larger degree than denominator, then the function has no horizontal asymptote.
Here, the numerator and denominator are of the same degree. So the horizontal asymptote will be the ratio of the coefficients.
Horizontal asymptote = [tex]-\frac{2}{1}[/tex] = -2
Which description can represent the surface area of this trunk
Answer:
It's B.
Step-by-step explanation:
A trunk has six faces . The total surface area will be the sum of the areas of these faces.
The surface area of a rectangular prism (like a trunk) is the total area of the surface of the object and can be found using the formula A = 2lw + 2lh + 2wh, where 'l' represents length, 'w' represents width and 'h' represents height.
Explanation:The surface area of a trunk, or any three-dimensional object, refers to the total area that the surface of the object occupies. In the case of a trunk, if we consider it as a rectangular prism (a box shape), that surface area can be found by adding the areas of all six faces of the prism. The formula to calculate the surface area (A) of a rectangular prism is A = 2lw + 2lh + 2wh where l denotes length, w width, and h height. Let's say, for example, that your trunk has a length of 3 units, a width of 4 units, and a height of 2 units. The surface area would then be 2*(3*4) + 2*(3*2) + 2*(4*2) = 24 + 12 + 16 = 52 square units.
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Please help! On part B!
Answer:
80.73 each month
Step-by-step explanation:
The original price of the computer is $598. It is offered for 25% off. This means you pay 75% of the original price or 0.75(598) = 448.5. The sales price is $448.50. You will pay 8% tax on this price. This means you'll pay 100% of the price plus 8% more. So this is 1.08(448.5) = 484.38.
In total you pay 484.38 over 6 months. This means each month you pay 484.38/6 = 80.73.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 5 small boxes has a total weight of 57 kilograms. A delivery of 8 large boxes and 3 small boxes has a total weight of 126 kilograms. How much does each type of box weigh?
Final answer:
The large box weighs 13.5 kilograms and the small box weighs 6 kilograms.
Explanation:
To solve this problem, we can assign variables to represent the weight of each type of box. Let's say the weight of a large box is L and the weight of a small box is S.
From the given information, we can set up a system of equations:
2L + 5S = 57 (Equation 1)
8L + 3S = 126 (Equation 2)
We can solve this system of equations using the method of substitution or elimination. Let's use elimination:
Multiply Equation 1 by 8 and Equation 2 by 2 to eliminate the S variable:
16L + 40S = 456 (Equation 3)
16L + 6S = 252 (Equation 4)
Subtract Equation 4 from Equation 3:
34S = 204
Solve for S: S = 6
Substitute the value of S into Equation 1:
2L + 5(6) = 57
2L + 30 = 57
2L = 27
Solve for L: L = 13.5
Therefore, the large box weighs 13.5 kilograms and the small box weighs 6 kilograms.
Evaluate f(3) divided by g(2) using functions f(x)=x^+1 and g(x)=x .
ANSERWS
A.4
B.5
C.8
D.10
Answer:
[tex]\large\boxed{B.\ 5}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2+1\\\\f(3)\to\text{put x = 3 to the equation of the function}\ f(x):\\\\f(3)=3^2+1=9+1=10\\\\g(x)=x\\\\g(2)\to\text{put x = 2 to the equation of the function}\ g(x):\\\\g(2)=2\\\\f(3):g(2)=10:2=5[/tex]
Bill is doing a fundraiser for school. He needs to sell at least $100 dollars worth of items. Candy bars cost $2 each and shirts cost $10 each. He must sell more than 4 candy bars.
Answer:
bill can sell 5 candy bars and 9 shirts
Step-by-step explanation:
5x2=10
9x10=90
90+10=100
area- compound shapes
Answer:
Step-by-step explanation:
Hello, you need to divide that form into two forms: a triangle and a square.
For square:
A1 = 7in X 7in = 49 in2
For triangle:
A2 = [(7in) X (11in-7in)]/2 = 10.5 in2
So, the total area is the sum of A1+A2
Area = 59.5 in2
Best regards