Answers
Answer:
Step-by-step explanation:
y = 0.25x + 8
(0, 8) are coordinates of y=intercept
y = 0.25 × 2 + 8 = 8.50
(2, 8.50)
The last table represnts the given equation.
The fourth table among all the options contains values that satisfy the equation y = 0.25x + 8.
An equation is a combination of two or more expressions, all equal to each other.
Let's check every table if every point in them satisfies the equation y = 0.25x + 8,
Table 1:
To check if (0, 8) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 8 = RHS
This point satisfies the equation.
To check if (2, 8.25) satisfies the given equation,
RHS: 0.25 × 2 + 8 = 0.50 + 8 = 8.50
LHS: 8.25 ≠ RHS
This point does not satisfy the equation.
Table 2:
To check if (0, 0) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 0 ≠ RHS
This point does not satisfy the equation.
Table 3:
To check if (0, 8.25) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 8.25 ≠ RHS
This point does not satisfy the equation.
Table 4:
To check if (0, 8) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 8 = RHS
This point satisfies the equation.
Similarly, all the points can be verified that they satisfy the equation.
Thus, all values in Table 4 satisfy the given equation.
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Related Questions
hcf and lcm of 120 and 180, shown your work
Answers
The HCM and LCM of 120 and 180 are 360.
What is HCF and LCM?The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Given are two numbers as -
120 and 180
We can write 120 and 180 as -
120 = 2 x 2 x 2 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60
Now, we can find LCM using the formula -
LCM(a, b) = (a x b)/HCF(a, b)
LCM(a, b) = (120 x 180)/60
LCM(a, b) = 2 x 180 = 360
Therefore, the HCM and LCM of 120 and 180 are 360.
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An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr
True
False
Answers
Answer:
Step-by-step explanation:
152.2 miles /2.5 hours= 60.88 mph so false.
check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.
What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answers
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answers
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
What will the first step look like in a substitution problem?
y=2x
x+y=9
Answers
Answer:
x + 2x = 9
General Formulas and Concepts:
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.
We are given:
y = 2x
x + y = 9
Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.
x + 2x = 9
And we would solve from there.
where is plymoth rock
Answers
Answer:
If u mean plymouth rock then the answer is
Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.
Step-by-step explanation:
evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2
Answers
73^2 = 5329
There's no identity that can be used.
PLS GIVE BRAINLIEST
a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven
Answers
Answer:
0.32x + 60= y
Step-by-step explanation:
how many times bigger is 2 times 10 to the 10th power than 150 million
Answers
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?
Answers
Answer:
18 / 6 = 3
The scale is 1:3
3 * 4.5 = 13.5
13.5 * 18 = 243 square feet
The answer is 243 square feet.
Step-by-step explanation:
Hope this helped!
0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?
Answers
Answer:
x = -1.5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.2x + 1 = 1.6x + 3.1
Step 2: Solve for x
Subtract 0.2x on both sides: 1 = 1.4x + 3.1Subtract 3.1 on both sides: -2.1 = 1.4xDivide both sides by 1.4: -1.5 = xRewrite: x = -1.5Step 3: Check
Plug in x to verify it's a solution.
Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply: -0.3 + 1 = -2.4 + 3.1Add: 0.7 = 0.7VERY URGENT WILL GIVE YOU 100 POINTS
Answers
Answer:
11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13Answer:
1. 11x
2.5x + 7
3. 5x +8
4. 8x + 9y
5. X + 8y +12
6. 12x + 3y
7. 10a + 7b + 4
8. 19a + 11
9. a + 16b + 10
10. 13a + 9b * 11
11. 12a + 2b + 24
12. 4a + 3b + 1
13. 8x + 6
14. 4x + 27
15. 11x + 20
16. 11x + 8y
17. 5x + 3y + 18
18. 7x + 15y + 30
19. 7x + 7y
20. 5x + 10y + 33
21. 2x + 7y + 37
22. 9x + 7y + 9
23. 6x + 8
24. 8x + 13
what is halfway between 5.3 and 5.4
Answers
Answer:
5.35
Step-by-step explanation:
5.31 5.32 5.33 5.34 5.35
ab (3a-5b) equals to?
Answers
Answer:
3a^2b-5ab^2
Step-by-step explanation:
Answer:
3a²b-5ab²
Step-by-step explanation:
Distribution method:
ab (3a-5b) = 3a²b-5ab²
HELP PLEASE ILL GIVE U 50 POINTS
Answers
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
How do I solve 4x+23>-21
Answers
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3
Answers
Answer:
a - neither b - perpendicular
Step-by-step explanation:
put them in desmos and look at the lines
I need helppppppppp!!!!
Answers
Help me please. I’m trying very hard.
Answers
Answer:
27/3
Step-by-step explanation:
50-(18+5)= 27
27/3
Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are
Answers
14 + x < 28
x < 14
The value of x is anything less than 14
The possible values of x are positive integers that are less than 14
The perimeter of a figure is the sum of all its sides.
A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,
perimeter = 7 + 7 + x
perimeter < 28 feet
Therefore,
7 + 7 + x < 28
14 + x < 28
subtract 14 from both sides
14 - 14 + x < 28 - 14
x < 14
Therefore, the possible value of x are positive integers that are less than 14.
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How do I solve this and check all the solutions?
Answers
Answer:
x = 2
Step-by-step explanation:
(Square both sides)
20 - 8x = x^2
(Solve 20 - 8x = x^2)
x = 2 , x = 10
x = 10 is false, so the answer is x = 2.
Answer:
x=2
Step-by-step explanation:
√20-8x=x
2√5-2x=x (by simplfing redical expression)
4(5-2x)=x^2 (square both side)
20-8x=x^2
20-8x-x^2=0
-x^2-8x+20=0
x^2+8x-20=0
x=2
Note:There is a another answer x=-10 But it's wouldn't fit out with this equation
(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880
Answers
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
Answers
Use the equation to answer the question 12 equals 3x + 6 what is the value of x makes the equation true
Answers
X=2
You are tasked with buying pizza for a party that has 100 guests. 40 guests are children, and 60 guests are adults. Half of the children want pizza, and two thirds of the adults want pizza. Children will eat one slice of pizza, and adults will eat two slices of pizza. A pizza pie can be cut into 8 slices and costs $9 dollars per pie.
Answers
Total slices required for children,
[tex]C = \dfrac{40}{2}\times 1\\\\C = 20\ slices[/tex] .
Total slices required for adults,
[tex]A=\dfrac{2}{3}\times 60\times 2\\\\A = 80\ slices[/tex]
So, total slices required are, 20 + 80 = 100 .
Number of pizza, n = 100/8 = 12.5
So, he has to order 13 pizza cause pizza cannot be purchased in fraction.
Total price, P = 13 × 9 = $117 .
Hence, this is the required solution.
Help will give a crown!!
Answers
Answer:
okay
Step-by-step explanation:
1) Each side length is 12
2) Each side length is 2
If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?
Answers
The amount of the discount would be 20 Dollars
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answers
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.
Answers
Answer:
5280
Step-by-step explanation:
I'm American and our system sucks but 1 mile is equal to 5280 feet
May I have brainliest please? :)
Answer:
I'm American and our system sucks but 1 mile is equal to 5280 feet
Identify the hypotenuse.
A. MN
B. LN
Answers
Answer:
The hypotenuse is line segment MN.
Step-by-step explanation:
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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.
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