Answer:
Step-by-step explanation:
Given that,
Slope of line is 8
m=8
And we are given two points where the line pass through
(x1,y1) = (9,v). ; x1=9, y1=v
(x2,y2)= (8,2). ; x2=8, y2=2
The slope of a line is given as
m=∆y/∆x
m=(y2-y1)/(x2-x1)
8=(2-v)/(8-9)
8=(2-v)/(-1)
Cross multiply
8×-1=2-v
-8=2-v
Subtract 2 from both sides
-8-2=2-v-2
-10=-v
Divide both sides by -1
-10/-1=-v/-1
Note, -÷-=+
10=v
Then v=10
We can write this as an expression:
[tex]\frac{2-v}{8-9}=8[/tex] → [tex]\frac{2-v}{-1}=8[/tex]
Now, lets solve for v.
[tex]\frac{2-v}{-1}=8[/tex]
~Multiply -1 to both sides
[tex]\frac{2-v}{-1}[/tex] * -1 = 8 * -1
~Simplify
2 - v = -8
~Subtract 2 to both sides
2 - 2 - v = -8 - 2
~Simplify
-v = -10
~Divide -1 to both sides
-v/-1 = -10/-1
~Simplify
v = 10
Best of Luck!
Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
3x - 7 pounds, Seth's bag weighs 2x -- 10 pounds, and Joanna's bag weighs
2x + 2 pounds. Together, Randall's and Joanna's bags weigh 3 times as much as
Seth's bag. How many pounds of trash does each friend pick up?
Answer:
Randall picks up 68 pounds
Seth picks up 40 pounds
Joanna picks up 52 pounds
Step-by-step explanation:
Let us make an equation in x to find it
∵ Randall's bag weighs 3x - 7 pounds
∵ Joanna's bag weighs 2x + 2 pounds
∵ Seth's bag weighs 2x - 10 pounds
∵ Randall's and Joanna's bags weigh 3 times as much as Seth's bag
- That means add Randall's bag and Joanna's bag and equate
the sum by 3 times Seth's bag
∵ Randall's bag + Joanna's bag = 3(Seth's bag)
∴ (3x - 7) + (2x + 2) = 3(2x - 10)
- Simplify the two sides
∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)
∴ 5x + (-5) = 6x - 30
∴ 5x - 5 = 6x - 30
- Add 5 to both sides
∴ 5x = 6x - 25
- Subtract 6x from both sides
∴ -x = -25
- Divide both sides by -1
∴ x = 25
Substitute x by 25 in the weight of each bag
∵ Randall's bag weighs = 3(25) - 7 = 75 - 7
∴ Randall's bag weighs = 68 pounds
∵ Seth's bag weighs = 2(25) - 10 = 50 - 10
∴ Seth's bag weighs = 40 pounds
∵ Joanna's bag weighs = 2(25) + 2 = 50 + 2
∴ Joanna's bag weighs = 52 pounds
Answer: What is the
Step-by-step explanation:
What is 5/3 as a whole number
Answer:
1 and 2/3
Step-by-step explanation:
The fraction 5/3 can be expressed as the mixed number 1 2/3.
The fraction 5/3 cannot be expressed as a whole number because it is an improper fraction. An improper fraction has a numerator that is greater than or equal to the denominator.
To convert the improper fraction 5/3 into a mixed number (a whole number plus a proper fraction), we divide the numerator (5) by the denominator (3):
5 ÷ 3 = 1 remainder 2
The result tells us that 5 divided by 3 equals 1, with a remainder of 2.
Therefore, the fraction 5/3 can be expressed as the mixed number 1 2/3.
Learn more about Mixed Fraction here:
https://brainly.com/question/29019463
#SPJ6
factor completely (x^2-4)(x^2+6x+9)
Answer:
[tex](x-2)(x+2)\left(x+3\right)^2[/tex] is the required factor form.
Step-by-step explanation:
When the factor of the expression is required to be found, then take the common terms, or find the factor by splitting the terms, or by using the standard formulas.
So here we have to find the factor of the expression:
[tex](x^2-4)(x^2+6x+9)\\[/tex]
so we will first find the factors of:
[tex](x^2-4)=(x-2)(x+2)~~~~~~~~~~~~~~~~~\because x^2-y^2=\left(x+y\right)\left(x-y\right)\\[/tex]
Now the factors of:
[tex](x^2+6x+9)=\left(x+3\right)^2~~~~~~~~~\because \left(a+b\right)^2=a^2+2ab+b^2[/tex]
So the final factor is given as:
[tex](x^2-4)(x^2+6x+9)\\=(x-2)(x+2)\left(x+3\right)^2[/tex]
solve the rato table 16:28=4:_
Answer:
x =7
Step-by-step explanation:
16:28=4:x
16*x=28*4
x=28*4/16
x=112/16
x=7
Answer:
7
Step-by-step explanation:
16/4=4 28/4=7
Peter has 51 fruit chews to share with Josh and Jenny. The number of fruit chews Peter gives to Josh is 9 less than four times the number of fruit chews he gives to Jenny. If Peter has no fruit chews left over, how many fruit chews does Peter give to Jenny?
The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day. Write the cost of renting the car as a function of the number of days rented. Use your function to find how much it would cost to keep the car for a week
Answer:
$339.00 for a week
Step-by-step explanation:
Step 1: Convert words into an expression
The Wertz car rental company charges $45 to rent a Mustang convertible, plus $42 per day.
f(d) = 45 + 42d
Step 2: Find the cost for a week/7 days
f(7) = 45 + 42(7)
f(7) = 45 + 294
f(7) = 339
Answer: $339.00 for a week
PLEASE ANSWER ASAP!!!
Prove the divisibility of the following numbers: 5^5−5^4+5^3 by 7
Answer:
Step-by-step explanation:
[tex]5^5-5^4+5^3 \: \: \:by \:\:\:\:7\\common factor\\\\\frac{5^5-5^4+5^3}{7}\\\\\frac{5^3(5^2-5+1)}{7}\\\\\frac{5^3(5^2-4)}{7}\\\\\frac{5^3(25-4)}{7}\\\\\frac{5^3(21)}{7}\\ \\Simplify\\\\5^3(3)\\[/tex]
12x + 34y = -2
2x + 3y = -8
What is x?
what addition does the model below represent?
Answer:
It's the 5+(-3)
Step-by-step explanation:
Which choice correctly shows the solution(s) of the equation x2 = 225?
A) x =
225
B) x = −
225
C) x = ±
15
D) x = ±
225
Answer:
C)x = +/-15
Step-by-step explanation:
15x15=225
-15x-15=225
Answer:
A
Step-by-step explanation:
The answer would be the square root of 225
I need help please plot it
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2.
Answer:
263.76
3.14x(42+42)
3.14x82=263.76 .
Answer:
75.36
Step-by-step explanation:
Given
3.14(a² + ab) ← substitute a = 4, b = 2 into the expression
= 3.14(4² + 4(2)) = 3.14(16 + 8) = 3.14 × 24 = 75.36
What is the P(H,H,H,T,T) on 5 flips of a coin?
I need help
Answer:
The probability for Heads will be 60% or 3/5.
The probability for Tails will be 40% or 2/5.
Step-by-step explanation:
The coin flipped 5 times and landed on Heads 3 times. This shows that out of 5 situations, 3 situations were Heads. Therefore, the probability is 3/5.
The coin landed on Tails 2/5 times the coin was flipped, which is basically the probability.
The probability of getting 3 heads and 2 tails in 5 flips of a coin, in any order, is 0.3125 or 31.25%. This is calculated by figuring out the number of ways to get 3 heads and 2 tails out of 5 flips (10 ways) and dividing that by the total possible outcomes in 5 flips (32 outcomes).
Explanation:The question is asking about the probability of getting three heads and two tails in 5 flips of a fair coin. The order given in the question (H, H, H, T, T) doesn't matter in this case because the flips are independent events.
We calculate the probability by figuring out the number of ways we could get 3 heads and 2 tails out of 5 flips and divide that by the total number of outcomes in 5 flips of a coin. There are 10 ways to get 3 heads and 2 tails out of 5 flips, and there are 32 total possible outcomes in 5 flips of a coin (because 2^5 = 32, as each flip has 2 possibilities, heads or tails).
So, P(H, H, H, T, T) = 10 / 32 = 0.3125 or 31.25%
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ2
Find the equation of the line specified.
The slope is 7, and it passes through ( 8, 6).
Answer:
The answer is A
Step-by-step explanation:
Given that the equation of line is y = mx + c and the slope is 7 :
y = 7x + c
By substituting the coordinate(8,6) into the equation, in order to find the value of c:
6 = 7(8) + c
6 = 56 + c
c = 6 - 56
= -50
y = 7x - 50
(Hope this can help)
1) A survey of favorite colors showed 198 people chose
green, 212 chose blue, and 187 chose red. If 39% of the
people surveyed are children, ABOUT how many
people surveyed were children? (use a calculator – show
all work!)
Answer:
233
Step-by-step explanation:
so we add up the total number of people surveyed (198+212+187) and get 597. So, then we multiply 597 by 0.39 (597(.39)) and that gives us 232.83. we round up 232.83 to 233 and thats the answer
Ona piece of paper usa protracter to construct right trangle ABC with AB = 4in. , m∠A90°, and m∠B= 45°
What statement is true about the triangle?
AC = 2 in.
BC = 8 in.
AC = 4 in.
BC = 4 in.
Answer:
AC = 4 in.
Step-by-step explanation:
Since m∠A = 90° and m∠B = 45°, you know that m∠C = 45° ( because you can tell it's an isosceles right triangle ).
This means that legs AB and AC both have to be congruent.
If leg AB is 4 in, then leg AC is 4 in.
Greatest common factor of 12 and36
Answer:
12
Step-by-step explanation:
Since 12 itself a factor of 36, there can't be a greater commonly factor
3) A chef randomly chooses subscription information from his blog readers to determine people who are likely to watch his new cooking show. Which statement BEST describes the random sample? A) The random sample represents all people who visit cooking blogs. B) The random sample represents all people who are interested in cooking shows. C) The random sample represents all people who are likely to watch the chef's new cooking show. Eliminate D) The random sample does not represent all people who are likely to watch the chef's cooking show.
Answer:
The answer is D, the random sample does not represent all people who are likely to watch the chef's cooking show.
Step-by-step explanation:
This is because not all people who enjoy cooking know about or visit the chef's blog.
Answer:ok guys so the answer is D
Step-by-step explanation: Not all people who enjoy cooking know about or visit the chefs blog
If T=[23 -38]
[17 -6 ]
then what is –10(T)?
PLEASE HELP
Answer:
B
Step-by-step explanation:
Multiply each term by -10
The matrix in Option B is the value of the given expression.
What is a matrix?'In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.'
According to the given problem,
Given matrix = [tex]\left[\begin{array}{ccc}23&-38\\17&-6\\\end{array}\right] \left[/tex]
On multiplying -10 with this,
Matrix = [tex]\left[\begin{array}{ccc}(23*(-10))&(-38*(-10))\\(17*(-10))&(-6*(-10))\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-230&380\\-170&60\\\end{array}\right][/tex]
Hence, we can conclude the matrix [tex]\left[\begin{array}{ccc}-230&380\\-170&60\\\end{array}\right][/tex] after multiplying -10 to [tex]\left[\begin{array}{ccc}23&-38\\17&-6\\\end{array}\right] \left[/tex].
Learn more about matrices here:
https://brainly.com/question/16850761
#SPJ2
-6x +6x-1 simplified
Answer:
-1
Step-by-step explanation:
I hope this helps!
Ratios that are equivalent to 8 : 20
Answer: 16 and 40. 24 60
Step-by-step explanation:
factor q^2+q+5pq+5p by grouping
Answer:
(q + 1)(q + 5p)
Step-by-step explanation:
q² + q + 5pq + 5p
= (q² + q) + (5pq + 5p)
Consider that : q² + q = q(q + 1) and 5pq + 5p = 5p(q + 1)
then
q² + q + 5pq + 5p
= (q² + q) + (5pq + 5p)
= q(q + 1) + 5p(q + 1)
= (q + 1)(q + 5p)
Good luck :)
Final answer:
The expression q^2 + q + 5pq + 5p is factored by grouping into (q + 5p)(q + 1) by factoring out common factors from the grouped terms.
Explanation:
To factor by grouping the expression q2 + q + 5pq + 5p, we need to group the terms in a way that common factors can be factored out.
Firstly, we divide the expression into two groups:
q2 + q5pq + 5pWe can then factor out the common factor from each group:
q2 + q = q(q + 1)5pq + 5p = 5p(q + 1)Now, we can see that the term (q + 1) is common in both grouped expressions:
q(q + 1) + 5p(q + 1)
The expression can be factored as:
(q + 5p)(q + 1)
This is the factored form of the original expression.
solve for x 2(x+7)-3(2x+4)= -18
Answer:
x = 5
Step-by-step explanation:
Given
2(x + 7) - 3(2x + 4) = - 18 ← distribute both parenthesis
2x + 14 - 6x - 12 = - 18, that is
- 4x + 2 = - 18 ( subtract 2 from both sides )
- 4x = - 20 ( divide both sides by - 4 )
x = 5
The original equation 2(x+7) - 3(2x+4) = -18 simplifies to -4x = -20, which leads to the solution x = 5. This is confirmed by substituting x back into the original equation, resulting in an identity (-18 = -18).
The equation to solve is 2(x+7) - 3(2x+4) = -18. To solve for x, we first expand the equation:
2x + 14 - 6x - 12 = -18
Combining like terms, we get:
-4x + 2 = -18
Subtracting 2 from both sides gives us:
-4x = -20
Dividing both sides by -4, we find that x = 5.
To verify the solution, plug x back into the original equation:
2(5+7) - 3(2*5+4) = -18
Which simplifies to:
24 - 30 = -18
This confirms that the solution x = 5 is correct as it results in an identity after substitution.
Which net represents this solid figure?
Rectangular prism 6.
Net of a cube 5.
Net of a cube 6.
Net of a rectangular prism. Two rectangles have a width of eight units and a height of four units. Two rectangles have a width of eight units and a height of three units. Two rectangles on the left and right have a width of four units and a height of three units.
Net of a rectangular prism 12.
The net represents a rectangular prism with two rectangles of 4x8 units, two rectangles of 8x3 units, and two rectangles of 4x3 units. The net of a cube doesn't match these dimensions, as it has equal sides. The 6 and 12 rectangular prisms do not match, unless they can confirm to these specific dimensions.
Explanation:The question is asking to identify which net corresponds to a specified rectangular prism with given dimensions. A net in mathematics refers to a pattern that you can cut and fold to make a model of a solid shape. A net of a rectangular prism consists of six rectangles of two pairs with equal dimensions - however, within each pair, the two rectangles may not be identical in dimensions to the other pair.
For this case, the rectangular prism described will have two rectangles with a height of 4 units and a width of 8 units, two rectangles with a width of 8 units and a height of 3 units, and two rectangles with a width of 4 units and a height of 3 units.
Thus, the correct net for this rectangular prism is the one with these described dimensions. We can eliminate the net of a cube options as those will have equal sides on all faces, which this prism does not have. The rectangular prism 12, 6, unless they match the above dimensions, also will not be the correct answer.
Learn more about Net of a Rectangular Prism here:https://brainly.com/question/30866040
#SPJ12
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square feet, of the remaining board? ( where
Answer:
13.76ft²
Step-by-step explanation:
Side of square: d=8ft
Area of board: Sb=d×d=64ft²
Area of circle: Sc=pi×r²=pi×(d/2)²=pi×d²/4=pi×64/4= 16×pi=50.24ft²
Remainin area: Sb-Sc=64-50.24=13.76ft²
Answer:
Area of remaining board is 13.728 feet²
Step-by-step explanation:
Given; Square side length = 8 feet
Therefore, the diameter of the cut out circle = 8 feet, then Radius = 4 feet
The approximate area, in square feet, of the remaining board will be the are of the square minus the ares of the cut out circle.
Area of the square = S²
= (8 feet)²
= 64 feet²
Area of the cut circle = π(4 feet)²
= 3.142 x 16 feet²
= 50.272 feet²
Area of remaining board = Area of the square - Area of the cut circle
Area of remaining board = 64 feet² - 50.272 feet²
Area of remaining board = 13.728 feet²
Find x, the missing side length of the right triangle. can anybody help
Answer:
16.64 units
Step-by-step explanation:
Use Pythagorean Theorem:
a^2+b^2=c^2
14^2+9^2=x^2
196+81=x^2
277=x^2
16.64=x
So the length is about 16.64 units
What is the measure of angle PNL
Answer:
Angle M has a measure of 47°.
What is the measure of angle PNL?
43°
47°
86°
94°
Answer:
43
Step-by-step explanation:
trust me
What is at answer for this addition problem 3/2+4/5=
Answer:2 3/10
Step-by-step explanation:
monk crossbred plants, which can have purple or white flowers, and obtained 639 plants with white flowers and 280 plants with purple flowers. Find the empirical probability that a plant had each type of flower.
11.1#18
Answer:
The emperical probability of being a plant with white flower is
[tex]\dfrac{639}{919}\approx 0.695[/tex]
The emperical probability of being a plant with purple flower is
[tex]\dfrac{280}{919}\approx 0.305[/tex]
Step-by-step explanation:
There are
639 plants with white flowers 280 plants with purple flowers919 plants in total.The empirical probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
The emperical probability of being a plant with white flower is
[tex]\dfrac{639}{919}\approx 0.695[/tex]
The emperical probability of being a plant with purple flower is
[tex]\dfrac{280}{919}\approx 0.305[/tex]
I NEED HELP ASAP URGENT PLEASE!
Answer:
A) 4*4x-4*3 and 16x-12
B) 12y+15y and 27y
Step-by-step explanation:
For A when you do the distributive property, you get:
4(4x-3)
4*4x-4*3 (which is one of the choices)
16x-12 (which is one of the choices)
For B when you combine like terms, you get:
12y+5y+10y
12y+15y (which is one of the choices)
27y (which is one of the choices)