Answer:
y=6x+20
Step-by-step explanation:
m= y2-y1/x2-x1
m= -4-8/-4-(-2)= 12/-2= 6/1
y= mx+b
y= 6x+b
8= 6(-2)+b
8=-12+b
+12 +12
b= 20
The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
Answer: 8(2m-3)
Step-by-step explanation:
The length of the sides of a square is given by the expression 4.8x + 2.4. Which expression represents the perimeter of the square?
Please help me out!
Answer:
4/3
Step-by-step explanation:
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
(0.8) (24)
(0.2) (120)
(0.8) (120)
(0.2) (24)
Answer:
96
Step-by-step explanation:
80÷100×120
96 ,, , ,; , ,
Answer:
(0.8) (120)
Step-by-step explanation:
[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]
Please help me with circle theorems
Answer:
x = 38°, y = 68°, z = 55°
Step-by-step explanation:
This would be easier to explain if the vertices were labelled , however
Angles at the circumference of the circle subtended on the same arc are congruent.
x and 38 are subtended on the same arc
y and 68 are subtended on the same arc
z and 55 are subtended on the same arc
Thus
x = 38°, y = 68° and z = 55°
Della went to the market to buy 4.5 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 and received $4.67 as change. She paid $1.62 in taxes and for the fruit. What was the cost for one pound of sliced fruit before taxes
Answer:
the cost for one pound before taxes is $4.52
Step-by-step explanation:
The computation of the cost for one pound before taxes is shown below:
= Paid a bill + amount - change amount
= $20 + 5 - $4.67
= $20.33
Now the cost of one pound would be
= Total amount ÷ number of pounds purchased
= $20.33 ÷ 4.5 pounds
= $4.52
Hence, the cost for one pound before taxes is $4.52
Alice has just discovered base 10 cake! She is delighted with how powerful it is. One day, after nibbling on the cake, Alice realizes she is 1 mile tall. Having her head in the sky makes her think about space travel. She decides she wants to visit the moon, which is about 239,000 miles from the earth. How many more ounces of base 10 cake should Alice eat so the top of her head just touches the moon? Give your answer to the nearest hundredth of an ounce.
Answer:
5.38 ounces
Step-by-step explanation:
Given that :
Alice height = 1 mile
Distance of earth to moon = 239000 miles
Number of base 10 cakes required so they Alice's head just touches the moon ;
Using the relation :
Distance = height per ounce * 10^number of ounces
Height per ounce = 1 mile ;
Let number of ounces = n
Hence,
239000 = 1 * 10^n
239000 = 10^n
Take log of both sides
Log(239000) = n
5.3783979 = n
5.3784 = n
Hence, Alice should take 5.38 ounces of base 10 cakes
Reason abstractly, Evaluate each expression: |13 - 6| = ____
Answer:
7
Step-by-step explanation:
13-6=7 the other line doesn't affect the answer because it isn't negative
Answer:
7
Step-by-step explanation:
»Solve inside the absolute value sign | |
|13 - 6| = |7|
The absolute value of 7 is just 7:
|7| = 7
Answer: 7
Choose the figure that models 6 divided by 3 over 4.
Use the figure to compute 6 divided by 3 over 4.
Answer:
The third one.
If the point A is located at (2, 3) and A' is the image of A after being rotated about the origin by 90° (counter clockwise). What are the coordinates of A'?
Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write and solve an equation to determine how many hours over 40 he worked. (Don't forget to define your variable and answer in a complete sentence.) How many total hours did Joe work last week?
Answer:
Joe worked 3 hours overtime.
Step-by-step explanation:
Let t = number of hours overworked
425 + 20 × t = 485
425 + 20t = 485
20t = 485 - 425
= 60
[tex]\frac{20t}{20} = \frac{60}{20}[/tex]
t = 3
[tex]\therefore[/tex] Joe worked 3 hours over time.
Hope this helps :)
In a paint factory, an old conveyer line has filled 40 barrels of paint, and is filling more at a rate of 1 barrel per minute. A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Write a system of equations, graph them, and type the solution.
Answer:
5 minutes
Step-by-step explanation:
let the time after which two lines will have filled an equal number of barrels is 'X' minutes.
so, according to the question after 'X' minutes;
⇒ number of barrels in old conveyer line = number of barrels in new conveyer line
⇒ 40x + 2X = 10X
⇒ X = 5
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
Answer:
880 rotations
Step-by-step explanation:
Answer:
880 rotations
Step-by-step explanation:
hello! I need help on these questions, I’ll give brainlist! :)
Answer:
1] the original perimeter will be multiplied by three.
2} the original area will be multiplied by 9
Step-by-step explanation:
Simplify the expression.
–9 – 6(w + 5)
A. –15w + 5
B. –15w + 30
C. –6w – 39
D. –6w + 21
Answer:
C. -6w-39
Step-by-step explanation:
Answer:
the correct solution is C.-6w-39
B) Use the table of values to determine if this
relationship is linear or non-linear
Answer:
Step-by-step explanation:
2. In the formula y = mx + b, what does "m" stand for?
a) y-intercept
b) slope
O C) x-axis
d) y-axis
Answer:
B.)Slope
In the equation y = mx + b for a straight line, the number m is called the slope of the line.
Samantha Villegas is making pupusas to raise funds for the 9th grade academy. She goes to numero uno market with $12 to buy some ingredients. Samantha gets flour that cost 7.45. She also needs cabbage to make the curtido the cabbage cost 85 cent per pound. How many pounds of cabbage, for curtido could Samantha buy ?
Answer:
Money she has = 12$ = 12*100 = 1200 Cent
cost of flour = 7.45 $ = 745 Cent
Remaining money = 1200-745 = 455 Cent
cost per pound of cabbage = 85 Cent
Total pound of cabbage that can buy = 455/85 = 5.35 pound
Find the measure of the numbered angle.
m∠5 =
Answer:
40°
Step-by-step explanation:
180- (90 + 40) = 50°
Angle 1 = 50°
180 - 50 = 130°
Angle 2 = 130°
180 - 130 = 50°
Angle 3 = 50°
180 - (90 + 50) = 40°
Angle 5 = 40°
OR
the two triangles are similar. Therefore, their angles are congruent. Since the tringle was only flipped and made slightly smaller, angles 9 and 5 are corresponding angles. (Both have the same measure of 40°)
Hope this helps. Have a nice day
Tamara walked 5/8 mile in 2 ½ hours. Which of the following represents the unit rate that Tamara walked?
Cody bought ten candy bars for a total of $32.30. How much did each candy bar cost?
Answer:
$3.23
Step-by-step explanation:
Answer:
3.23
Step-by-step explanation:
32.30/10
which of the following shows the length of the third side, in inches, of the triangle below?
Answer:
20 inches
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 15
Hypotenuse c = 25
Step 2: Solve for x
Substitute [PT]: x² + 15² = 25²Isolate x term: x² = 25² - 15²Exponents: x² = 625 - 225Subtract: x² = 400Isolate x: x = 20Answer:
20 inches
Step-by-step explanation:
Step 1: Understanding Pythagorean Theorem
The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.
Step 2: Using the Theorem
We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.
We can denote -
a - 15
b - unknown
c - 25
(note, c is always the hypotenuse or the longest side of the triangle)
We can plug in the numbers -
[tex]15^{2} +b^{2} =c^{2}[/tex]
[tex]225 +b^{2}=625[/tex]
[tex]b^{2} =625-225[/tex]
[tex]b^{2} =400[/tex]
[tex]b=20[/tex]
Left on together the cold and hot water faucets of a certain bathtub takes 6 minutes to fill the tub. If it takes the hot water faucet 15 minutes to fill the tub by itself , how long will it take the cold water faucet to fill the tub on its own ?
Answer:
10 minutes
Step-by-step explanation:
We have
1/ hot water faucet + 1/ cold water faucet = 1/6
= 1/15 + 1/c = 1/6
1/c = 1/6 - 1/15
Lowest Common Denominator
= 30
Hence:
1/c = 5 - 2/30
1/c = 3/30
1/c = 1/10
Cross Multiply
c = 10 minutes
Hence, it will take the cold water faucet 10 minutes to fill the tub on its own
Liam puts $50 in savings in March and 150% of this amount in savings in April.
How much does Liam put in savings in April?
Answer:
150% of 50 is 75, so the answer would be $75.
Step-by-step explanation:
Write the equation of the line in Slope Intercept Form; it is currently in Standard Form.
Do not leave ANY spaces in your answer. Example: y=8/3x+7
4x - 3y = 12
Line b has a slope of
Line c is parallel to line b. What is the slope of line c?
Answer:
[tex]\frac{-5}{9}[/tex]
Step-by-step explanation:
The slope of two parallel lines is the same. As long as the y-intercept is different then, the lines are parallel. Therefore, if the slope of line b is [tex]\frac{-5}{9}[/tex] then the slope of line c must also be [tex]\frac{-5}{9}[/tex].
The bowl has a diameter of 10 inches. What is its radius?
The bowl has a of 5 inches.
What is the relation between radius and diameter?The diameter is the measurement along the circle's widest point. Thus, that is the circle's diameter. It is pretty simply related to the radius. The radius divided by two gives the diameter.
Given
d = 10 inches
d = 2r
r = d/2 = 10/2 = 5
To know more about relation between radius and diameter refer to :
https://brainly.com/question/23220731
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PLEASE HELP!!! Stacy’s bill at IHOP was $23.15. How much will she spend altogether if she leaves a 20% tip
Answer: $27.78
Brainliest?
Step-by-step explanation:
20% of 23.15
can be found by doing: 0.2 x 23.15 = 4.63
Add 23.15 and 4.63 = 27.78
Guided Practice #3:
A group of adults plus one child attend a movie at the movie theater. Tickets cost $9 for adults and $6
for children. The total cost for the movie is $78. Write an equation using a to find the number of adults
in the group
Use your equation to solve for a (adults).
Click to add speaker notes
Answer:
8 adults
Step-by-step explanation:
78-6 for the child is 72 and tben since each adult is $9 so $72 divide by $9
The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
A | 8(2m+3)
B | 8(2+3m)
C | 8(2-3m)
D | 8(2m-3)
Answer:
The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D
Step-by-step explanation:
Let us find the greatest common factor of 16 and 24
∵ 16 = 1 × 16, 2 × 8, 4 × 4
∴ The factors of 16 are 1, 2, 4, 8, 16
∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6
∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
→ Find the common factors of 16 and 24
∵ The common factor of 16 and 24 are 1, 2, 4, 8
∵ The greatest one is 8
∴ The greatest common factor of 16 and 24 is 8
→ Take 8 as a common factor from 16m and 24
∵ 16m ÷ 8 = 2m
∵ 24 ÷ 8 = 3
∴ 16m - 24 = 8(2m - 3)
∴ The espression 8(2m - 3) shows the length and the width of
the rectangle