Answer:
V=3,140in3
Step-by-step explanation:
Identify the slope and y-intercept of the line y=5x/3+1.
Answer:
slope: 5x/3 and y-intercept: 1
Answer:
5/3 is slope
(0, 1) or 1 is y-int
Step-by-step explanation:
y = mx + b
m is slope
b is y-int
y = 5 x/3 + 1
y = 5/3x + 1
5/3 is slope
(0, 1) or 1 is y-int
If 3 hamburgers cost $4.20, then how much does 1 hamburger cost?
Answer:
$1.40
Step-by-step explanation:
Divide 4.20 by 3.
Answer:
$1.4
Step-by-step explanation:
The price of one hamburger will be equal to the total price of the hamburgers divided by the number of hamburgers .
Therefore $4.20/3
$1.4
So each hamburger cost $1.4
Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased
his mile time by 25%. What is his mile time now?
Step-by-step explanation:
in two months
Decrease of 25%
so you need to do
25%*12 is 3 minutes
Find the difference from 12 minutes
12-3 is 9 minutes.
therefore, his mile time is 9 minutes in two months
After improving his running speed by 25%, Guy would now run a mile time 9 minutes.
It would take for Guy to run a mile after improving his running speed by 25%. Guy's original mile time was 12 minutes. To find his new mile time, we calculate 25% of 12 minutes, which is 3 minutes.
Then, we subtract that from the original 12 minutes: 12 minutes - 3 minutes = 9 minutes. Therefore, Guy's new mile time, after reducing it by 25%, is 9 minutes.
What’s the answer to this?
Answer:
P'(-3, 5)
Step-by-step explanation:
The transformation for a 90° rotation CCW is ...
(x, y) ⇒ (-y, x)
(5, 3) ⇒ (-3, 5)
The coordinates of the rotated point are (-3, 5).
which shape does NOT have perpendicular
perpendicular lines? Mark your answer.
Answer:
Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines that never touch, perpendicular lines must intersect.
Therefore, the shape with 2 lines that don't intersect/touch each other, is the shape that does not have perpendicular lines.
8 bags of potato chips ,5 bags of popcorn, 2bags of pretzels and 1 bag of cheese puffs if a student selects 1 bag at random find the probability that it it is a bag of potato chips or a bag of pretzels
Answer:
10/16
Step-by-step explanation:
Simplified: 5/8
A student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels is 0.625.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
There are 8 bags of potato chips, 5 bags of popcorn, 2 bags of pretzels and 1 bag of cheese puffs.
The number of bag of potato chips and bag of pretzels,
= 8 + 2
= 10
If a student selects 1 bag at random, then the probability that it is a bag of potato chips or a bag of pretzels:
The probability = number of favorable outcomes / total outcomes
The probability = 10 / 16
The probability = 5/8
The probability = 0.625
Therefore, the probability is 0.625.
To learn more about the probability;
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Multiply across +combine like terms
[tex](5x+2)(7x-2)[/tex]
Applying distributive property:
[tex]5x\cdot \:7x+5x\left(-2\right)+2\cdot \:7x+2\left(-2\right) \\ \\ 35x^2-10x+14x-4[/tex]
Combining like terms:
[tex]\boxed{35x^2+4x-4}[/tex]
Case 3.[tex](5p-5)(7p+6)[/tex]
Applying distributive property:
[tex]5p\cdot \:7p+5p\cdot \:6+\left(-5\right)\cdot \:7p+\left(-5\right)\cdot \:6 \\ \\ 35p^2+30p-35p-30[/tex]
Combining like terms:
[tex]\boxed{35p^2-5p-30}[/tex]
Case 4.[tex](n-7)(3n+1)[/tex]
Applying distributive property:
[tex]n\cdot \:3n+n\cdot \:1+\left(-7\right)\cdot \:3n+\left(-7\right)\cdot \:1 \\ \\ 3n^2+n-21n-7[/tex]
Combining like terms:
[tex]\boxed{3n^2-20n-7}[/tex]
The figure below shows the result of each case.
Johnny thinks that the slope of the line through (5,10) and (4,4) is -1/6. Is he correct? If he is explain why. If he’s not, provide the correct answer and explain what he did wrong.
Answer:
Johnny is incorrect because the slope is actually 6.
Step-by-step explanation:
To find the slope: m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Step 1: Plug in the points
m = [tex]\frac{4 - 10}{4 - 5}[/tex]
m = [tex]\frac{-6}{-1}[/tex]
m = 6
Answer: Johnny is incorrect because the slope is actually 6.
Find the value of x.
log x 8 = 0.5
O A. 4
OB. 16
C. 32
Answer:
c. 4 4÷2 =8 hope it helps
What is the distance between -45 and -98 on a number line?
A) -67
B) 53
Eliminate
C) 67
D) 133
The distance between -45 and -98 on a number line is 53 units.
Explanation:The distance between -45 and -98 on a number line can be determined by subtracting the smaller number from the larger number:
-98 - (-45) = -98 + 45 = -53
The distance between -45 and -98 is 53 units.
Learn more about Distance on a number line here:https://brainly.com/question/16901376
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Which number is IRRATIONAL?
A)
64
B)
81
C)
96
D)
144
Answer:B) 81
Because it cannot be divided into two equal figures.
A point that is between 50 and 60 units away from (7,-2) and state the distance between the points
Answer:
the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.
Step-by-step explanation:
Joesfina works between 10 and 30 hours per week at a pizzeria. She earns $8.50 an hour, but can earn tips when she delivers pizzas. Write a system of inequalities to represent the dollars d she could earn for working h hours in a week. {please help me}
Answer:
85 + z <= x <= 255 + z
Step-by-step explanation:
An inequality system will be given by a lower limit and an upper limit, therefore it is only necessary to raise an equation for each case, h being the hours worked and z the extra money you can earn by delivering the pizzas:
For the lower limit:
8.5 * h + z, knowing that in this case it is 10 hours.
85 + z would be the lower limit value
For the upper limit:
8.5 * h + z, knowing that in this case it is 30 hours.
225 + z would be the upper limit value
Therefore the inequality system would be as follows, let x be the money earned:
85 + z <= x <= 255 + z
Which means that the money earned will be determined by the previous inequality.
Vanessa's cell phone company charges $45 for a monthly fee and $0.03 for each text sent If Vanessa's bill is $76.23, how many texts did Vanessa send?
A.)94
B.)141
C.)1,041
D.)3,974
Answer:
C
Step-by-step explanation:
I chose C and got it right.
Sides KM and FH in the triangles below will be placed together to form a quadrilateral.
Which best describes the quadrilateral that will be formed?
parallelogram
rectangle
rhombus
trapezoid
Any polygon that has exactly 3 sides is called a triangle. Here you haven't provided any figure, so I'll assume that we have two triangles as indicated in the figure below. As you can see, we have two sides:
[tex]KM \ and \ FH[/tex]
When placing together we realize that those sides measures the same, so:
[tex]KM=FH[/tex]
So [tex]KM/FH[/tex] is the diagonal of the shape. From the figure we also know that opposite sides are equal and parallel, therefore, this shape represents a parallelogram. Remember that a parallelogram is a quadrilateral where both pairs of opposite sides are parallel.
So correct option is:
Parallelogram
Answer:
The correct answer is A. parallelogram
Step-by-step explanation:
Right on ED2021, goodluck!
a hammer that normally sells for $24 is on sell for $12. what percentage is the discount?
Answer:
50%
Step-by-step explanation:
You can figure out the percentage that it is off by diving the price it is not at (12) by the full amount (24) and then multiplying it by 100 because it is a percent.
(12/24)= 0.5
(0.5)*(100)= 50%
Find the quotient
-54у^2 + 24/ 9y + 6
Answer:
56
Step-by-step explanation:
A circular path 2 feet wide has an inner diameter of 950 feet. How much farther is it around the outer
edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for it.
The outer edge of the path is
feet farther around than the inner edge.
Answer: 12.56 feet
Step-by-step explanation:
Given: The width of the circular path= 2 feet
The inner diameter of circular path= 150 feet
Therefore, the inner radius of circular path=
Now, the outer radius= 75+2=77 feet
We know that the circumference=
Inner circumference=
Outer circumference=
The difference=
Hence, the outer edge of the path is 12.56 feet farther than the inner edge
can someone show me how to solve this? the lesson didnt show me how to do it.[tex]\frac{x^{2} }{2} -32 = 0[/tex]
Answer:
x=-8,8
Step-by-step explanation:
[tex]\frac{x^2}{2} -32=0\\multiply ~by~2\\x^2-64=0\\x^2-8^2=0\\(x+8)(x-8)=0\\ether~ x=-8\\or~x-8=0\\x=8\\x=-8,8x=-8[/tex]
missing either x+8=0
x=-8
one less than 3 times a number is 7
Answer:
x = 8/3
Step-by-step explanation:
3x - 1 = 7
3x = 8
x = 8/3
Answer:
the number is 8/3 (= 2 2/3)
Step-by-step explanation:
let the number be x
"3 times a number" --> 3x
"one less than 3 times a number" --> (3x - 1)
"one less than 3 times a number is 7" --> (3x - 1) = 7 (solve for x)
3x - 1 = 7 (add 1 to both sides)
3x = 7 + 1
3x = 8 (divide both sides by 3)
x = 8/3
What is 5x-2.5+6x-3 equivalent to
Answer:
It is equal to
11x-2.5-3e
Answer:
11x-5.5
Step-by-step explanation:
If you combine like terms it will be equivalent still.
5x and 6x can be added together which is 11x
you can also combine -2.5 and -3 which is -5.5
So the product will be 11x-5.5
Hope this helped :)
Helpppppppppppppppppp
Option A:
[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]
Solution:
Given expression [tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)[/tex].
To find the product of the above expression:
[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)[/tex]
First multiply first two factors with each term.
[tex]=(x^{4} \times 3 x^{3}- x^{4} \times 2 ) \left(4 x^{2}+5 x\right)[/tex]
Using exponent rule: [tex]a^m \cdot a^n=a^{m+n}[/tex]
[tex]=(3 x^{7}- 2x^{4} ) \left(4 x^{2}+5 x\right)[/tex]
Now multiply these two factors with each term.
[tex]=3 x^{7} (4 x^{2}+5 x)- 2x^{4} \left(4 x^{2}+5 x\right)[/tex]
[tex]=(4 x^{2} \times 3 x^{7} +5 x \times 3 x^{7} )- \left(4 x^{2} \times 2x^{4}+5 x \times 2x^{4}\right)[/tex]
Using exponent rule: [tex]a^m \cdot a^n=a^{m+n}[/tex]
[tex]=(12 x^{9} +15 x^{8} )- (8 x^{6}+10 x^{5})[/tex]
[tex]=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]
[tex]\left(x^{4}\right)\left(3 x^{3}-2\right)\left(4 x^{2}+5 x\right)=12 x^{9} +15 x^{8} - 8 x^{6}-10 x^{5}[/tex]
Hence option A is the correct answer.
How do you factor the common factor out of 30x^2-12x
Your graphing the speed your car goes on the interstate from the time you enter the ramp until you arrive at the next exit ramp 6 miles away. The speed of the highway is 70 mph. The X axis represents time and Y represents speed. The graph has five tick marks on the X axis and 10 tick marks on the Y axis. What would be a good scale for each axis?
Answer:
1 minute on the x-axis; 10 mph on the y-axis
Step-by-step explanation:
The distance between exit ramps is less than 6 miles and since you are traveling at 70 mph on the highway you should get there in less than 5 mins, so the scale on the x-axis should be 1 minute. Since you have 10 tick marks on the y-axis and will be going at a speed of 70 mph at some point, the scale on the y-axis should be 10 mph (100 mph total). A good scale would be 1 minute on the x-axis; 10 mph on the y-axis.
Answer:
1 minute on the x-axis; 10 mph on the y-axis
Step-by-step explanation:
Two cylinders are similar. The volume of the larger cylinder is 343ft3 and the volume of the smaller cylinder is 125ft3. The height of the smaller cylinder is 5ft. What is the height of the larger cylinder? Enter your answer in the box.
Answer:
The answer would be 7ft.
Step-by-step explanation:
Let the radius of the cylinder be rft. and its height be hft. Again the radius of the larger cylinder is R ft and its height is H ft. Given h = 5 ft.
As the cylinders are similar we can say [tex]R/r[/tex] = [tex]H/h[/tex]
Now the volume of the smaller cylinder is πr²h = 125
and that of larger one is πR²H = 343
SO πR²H/πr²h = 343/125
⇒ H²/h² × H/h = 343/125
⇒ H³/h³ = 7³/5³
⇒ H/h = 7/5
⇒ H = 7/5 × h = 7/5 × 5 = 7ft
Hope this Helped:)
What is the slope intercept form of 11x+3y=-32
Answer:
y=−113x−323
Step-by-step explanation:
there u go
Ella is checking roof frames to make sure that they are right triangles. Which of the following measures form right triangles? Select all that apply. 10, 24, 26 8, StartRoot 20 EndRoot, 25 8, StartRoot 161 EndRoot, 15 20, 21, 29 39, 80, 89
Answer:
A; C; D; E
Step-by-step explanation:
The answer is A, C, D, and E
A: 10, 24, 26
C: 8, StartRoot 161 EndRoot, 15
D: 20, 21, 29
E: 39, 80, 89
Answer:
A, C, D, E
Step-by-step explanation:
It's correct
What’s the next number in the sequence 72,81,90,99
they are increasing by 9 so next is 108
The linear equation y=2x represents the cost y for x pounds of apples.Which ordered pair lies on the graph of the equation?
Answer:(1,2), (2,4), (3,6), and alot more here is the graph so you can see!
Step-by-step explanation: hope this helps have a great day!
the root of quadratic equation are (3-√3) and (3+√3). find its equation
Answer: [tex]x^{2} - 6x +6 = 0[/tex]
Step-by-step explanation:
The formula for finding quadratic equation is given as :
[tex]x^{2}[/tex] - sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots implies :
(3-√3)+(3+√3) =6
product of roots implies :
(3-√3) x (3+√3) = 9 +[tex]3\sqrt{3}[/tex] - [tex]3\sqrt{3}[/tex] - 3
(3-√3) x (3+√3) = 6
substituting into the equation we have:
[tex]x^{2} - 6x +6 = 0[/tex]