Answer:
x is either 2 or 3
Step-by-step explanation:
[tex] {x}^{2} - 5x + 6 = 0 [/tex]
(x-3)×(x-2) = 0
x- 3 = 0 ➡x = 3
x -2 = 0➡ x = 2
(Score for Question 3: __of 12 points)
3. The area of a rectangle is 45x^8y^9square yards. If the length of the rectangle is 5x^3y^4 yards,
which expression represents the width of the rectangle in yards?
Answer:
Answer:
The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].
Step-by-step explanation:
The formula to compute the area of a rectangle is,
[tex]Area=length\times width[/tex]
Given:
Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]
Length = [tex]5x^{3}y^{4}\ yards[/tex]
Determine the expression for the width of the rectangle as follows:
[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]
Thus, the width is [tex]9x^{5}y^{5}[/tex].
express each fraction as the sum of two or three equal fractional parts. rewite each as a multiplication equation. show part a on a number line.
See the explanation
Explanation:Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any fraction so I'll give you a fraction in order to illustrate this problem such that the fraction can be rewritten as the sum of two equal fractional parts and that that fraction can also be rewritten as a multiplication equation:
CHOSEN FRACTION:
[tex]\frac{16}{15}[/tex]
1. Written as the sum of two equal fractional parts:
[tex]Let's \ divide \ this \ fraction \ by \ 2: \\ \\ \frac{16}{15}\div 2=\frac{8}{15} \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{8}{15}+\frac{8}{15}[/tex]
2. Written as a multiplication equation:
[tex]We \ can \ write: \\ \\ 16=4\times 4 \\ \\ 15=3\times 5 \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{4}{3}\times \frac{4}{5}[/tex]
The addition problem is shown below in the number line.
Learn more:Distributive property: https://brainly.com/question/769410
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show work. step by step instructions.
solve for p
4(p+2)=28
We can use the distributive property for this:
4 (p+2) = 28
4p + 8 = 28.
4p = 28 - 8.
4p = 24.
Divide by 4 on both sides:
p = 6
Which decimal is equivalent to 8%
Answer:
[tex]0.08[/tex]
Step-by-step explanation:
Given : 8%
To find the decimal value of the percentage number
Remove the percentage symbol with 100 in the denominator
gives
[tex]\frac{8}{100}\\[/tex]
Now taking the numerator to the decimal place equal to the number of zeros in the denominator or simply divide denominator with numerator.
Gives = [tex]0.08[/tex]
So, the decimal equivalent of the given value is [tex]0.08[/tex]
0.08
Step-by-step explanation:
8% can be written as 8/100 in the fractional form.
now when we will divide anything by 100, we will count the 0s in 100. here 2 zeros are there.
so we will put the decimal point before two digit. in numerator we already have 8.
we need another digit, so we put 0 then the decimal point.
that means 0.08
Staci has 90 to buy clothes . She spends 78 at a department store and wants to buy socks that cost 4 per pair. how many pairs of socks can Staci buy?
Answer:
3 pairs
Step-by-step explanation:
After spending 78 out of 90, Staci has 12 left.
12/4 = 3
Answer:
3
Step-by-step explanation:
90-78=12
4x3= 12
12-12= 0
What plus what equals to -23?
Answer:
-78 + 55 = -23
Step-by-step explanation:
Answer:
Step-by-step explanation:
-78+55 = -23
if EF=FG, then F is the midpoint of EG
what property if equality is that
In geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.
Given that, if EF=FG, then F is the midpoint of EG.
What is the midpoint of a line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
Congruent line segments are 1-dimensional geometrical figures having equal measures. The word "congruent" with respect to congruent lines in geometry is defined as the equality between the two line segments. Two lines are said to be congruent when they have the same length.
Here, F is the midpoint of EG it bisects the line EG, which is EF=FG
Therefore, in geometry is defined as the equality between the two line segments are said to be congruent when they have the same length.
To learn more about the formula of midpoint visit:
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need the anwser please
Answer:
A=60
Step-by-step explanation:
Fleet charges $8 plus $.90 per pound to ship each package. If the change for shipping a package to Colorado was $19.70 how much did the package weigh
What are the coordinates of the x-intercepts of the graph of y = (x - 3)(x + 2) ?
(0, 3) and 0, -2)
(0, -3) and (0, 2)
(-3, 0) and (2, 0)
(3, 0) and( -2, 0)
The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0) ⇒ 4th answer
Step-by-step explanation:
The x-intercepts of a quadratic function is the values of x when y equal to zero
If y = (x - a)(x + b), then to find x-intercepts do that:
Put y = 0Equate each bracket by zeroFind the two values of x ( x = a , x = -b)The x-intercepts are (a , 0) and (-6 , 0)∵ The equation of the graph is y = (x - 3)(x + 2)
- To find the x-intercepts equate y by 0
∴ (x - 3)(x + 2) = 0
- Equate each bracket by 0
∵ x - 3 = 0
- Add x to both sides
∴ x = 3
∵ x + 2 = 0
- Subtract 2 from both sides
∴ x = -2
∴ The graph intersects the x-axis at points (3 , 0) and (-2 , 0)
The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0)
Learn more:
You can learn more about the quadratic function in brainly.com/question/1332667
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what do i multiply 5/6 by to get 10/12
Answer:
2
Step-by-step explanation:
you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12
Step-by-step explanation:
[tex]\frac{5}{6} = \frac{5\times 2}{6\times 2} = \frac{10}{12} \\ \\
[/tex]
Therefore, answer is 2.
10
Driving. In an emergency, the distance,
d m, it takes for a car moving at a
speed of v m/s to stop completely is
given by d = 0.15v2 + v.
(i) When the car has only 80 m to stop,
show that 3v2 + 20v – 1600 < 0.
(ii) Solve the inequality in part (i) to
find the maximum speed of the car.
Answer:
i) The proof is belowii) The maximum speed is 20m/s
Explanation:
(i) When the car has only 80 m to stop, show that [tex]3v^2+20v-1600<0.[/tex]
The distance, [tex]d[/tex] [tex]m[/tex], it takes for a car moving at a speed of [tex]v[/tex] [tex]m/s[/tex] to stop completely is given by [tex]d=0.15v^2+v[/tex]
The car must stop before the 80 m, so the distance to stop is less than 80 m:
[tex]d<80[/tex]
Substitute:[tex]0.15v^2+v<80[/tex]
Multiply both sides by 20:[tex]20\times 0.15v^2+20\times v<20\times 80\\\\3v^2+20v<1600[/tex]
Subtract 1600 from both sides:[tex]3v^2+20v-1600<0[/tex]
Which is the expression you wanted to prove.
(ii) Solve the inequality in part (i) to find the maximum speed of the car.
To solve the inequality you need to factor the left side:
Put 20v as 80v - 60v[tex]3v^2+80v-60v-1600<0[/tex]
Use commutative property of addition[tex]3v^2-60v+80v-1600<0[/tex]
Use associative property[tex](3v^2-60v)+(80v-1600)<0[/tex]
Factor each binomial:[tex]3v(v-20)+80(v-20)<0[/tex]
Common factor [tex](v-20)[/tex][tex](v-20)(3v+80)<0[/tex]
There are two possible solutions: 1) the first factor is positive and the second negative, and 2) the first factor is negative and the second positive.
1. First tentative solution
[tex]v-20>0\\\\v>20\\\\3v+80<0\\\\3v<-80\\\\ v<-80/3\\\\v<-26.26[/tex]
The speed cannot be greater than 20m/s and less than - 26.26 m/s at the same tine, thus, there are not solutions for this assumption.
2. Second tentative solution
[tex]v-20<0\\\\v<20\\\\3v+80>0\\\\3v>-80\\\\ v>-80/3\\\\v>-26.26[/tex]
You are looking for an upper bound, thus the solution is that the speed is less than 20m/s.
Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1?
Answer:
1
Step-by-step explanation:
use PEMDAS=
2+6=12
12x2=24
48/24=2
2-1= 1
Answer:
2
Step-by-step explanation:
first you do things that are in perrinthes so that would be 2+6 is 8 times 2 because there is another perrinthes so thats 16 then divide 48 by 16 so then you get 3 minus 1 is 2( yeah im bad at spelling)
A number k minus 8.4 is greater than 21.
Answer:
30.4
Step-by-step explanation:
30.4-8.4=22
Urgent!!!
What kind of triangle is this?
Obtuse
Acute
Supplementary
Right
Please help!!!?!!
Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
Obtuse angled triangle:
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
Acute angled triangle:
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
Right angled triangle:
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
Supplementary:
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
point d is the foot of the
perpendicular from the point o(2, -3)
to the line y = 3x + 1.
(i) Find the length of DO.
(ii) Find the coordinates of the
reflection of A in the line y = 3x + 1
Answer:
(I) using the equation y=3x+1 at x=2 the length of Line DO is y=3(2)+1
Therefore y=7
(II) the coordinates At x=-3
Y=3(-3)+1=-8
Hence from (I) above also the coordinates are (7,-8)
Step-by-step explanation:
Step 1 :you declare variables
Step 2: you solve the equation at both points on the graph
Helena said that 12 ÷ 1/3 is 4. Draw a model and use words to explain why halina statement is not reasonable.
On its first visit to the vet, Emma's kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit,the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten's weight since its first visit?
Answer: 14.6 % increase
Step-by-step explanation: 44 divided by 30 = 1.46
To decimal = 14.6 percent
Answer:
14.6
Step-by-step explanation:
On a map of Arizona, the scale is 1 inch = 5 inches. The distance between Brady's house and Flagstaff is 23 inches on the map. What is the actual distance between Brady's house and Flagstaff.
So we know that 1 inch on the map = 5 inches.
So if Brady's house is 23 inches away from Flagstaff on the map:
23 * 5 = 115.
So 115 inches is the actual distance...
Wait. His house is 9 feet away from Flagstaff? That's cool.
-5 (-17/2 + 7/2y)-8y=17
Answer:
17
Step-by-step explanation:
11. Ben is saving money to buy a TV that costs $495,
including tax. Ben opens a savings account with a
deposit of $75 and deposits $65 at the end of each
month. What is the minimum number of months Ben
will need to make deposits until he has enough money
in his account to buy the TV ? .
Answer:
7 months
Step-by-step explanation:
equation:
75+65x
75+65(6)=465 <495
75+65(7)=530>495
Ben will need to make deposits for at least 7 months to have enough money to buy the TV.
Explanation:To determine the minimum number of months Ben will need to make deposits until he has enough money to buy the TV, we can set up an equation.
First, subtract the initial deposit of $75 from the total cost of the TV ($495) to find out how much more money Ben needs: $495 - $75 = $420.Next, divide the remaining amount needed by the monthly deposit of $65: $420 ÷ $65 = 6.46.Since Ben cannot make a fraction of a month, we round up the decimal value to the nearest whole number. Therefore, Ben will need to make deposits for at least 7 months to have enough money to buy the TV.Learn more about determining the number of months needed to save for a purchase here:https://brainly.com/question/34732053
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Find the distance from G to S. 13 9 √89 √42
Answer:
square root of 89
Step-by-step explanation:
squ^re r00t 0f 89 !s 9
Which expression is equivalent to 5(8z)
Answer:40z
Step-by-step explanation: i got this answer by using the distributive property. So when I distribute 5 to 8 you just basically multiply the two and add the variable on the end
Tyler plans to snowboard for 7 days. A daily ticket costs $50, but there is a
discount of $40 off the total if you ski for 7 or more days. If Tyler goes to the
ticket counter with $340, how much change does he get back?
Which of the following sets of equations correctly represents this situation?
Answer:
Step-by-step explanation:
$8.75
Tyler gets $30 in change after buying a 7-day snowboarding ticket with a discount, having gone to the ticket counter with $340.
To calculate the change Tyler gets back, we must first determine the total cost of his 7-day snowboarding trip with the discount.
Tyler plans to snowboard for 7 days. A daily ticket costs $50. Since he is going to snowboard for 7 or more days, he gets a discount of $40 off the total.
Without the discount, the cost for 7 days would be 7 days * $50/day = $350.Applying the discount, the total cost becomes $350 - $40 = $310.Tyler goes to the ticket counter with $340. To find out how much change he gets back, we subtract the total cost from the amount he has:
$340 - $310 = $30
Therefore, Tyler will receive $30 in change.
A rectangle has a perimeter of 48 feet the length and width are scale by a factor of 1.5 what is the perimeter of the resulting rectangle
Answer: I believe it is 6
Step-by-step explanation:
The formula of perimeter is
P=2(l+w)
so plug in 1.5 for length and width
P=2(1.5+1.5)
your answer should be 6.
A group of cyclists is planning a 50-
mile ride. The cyclists will stop every
10 miles to rehydrate. If each cyclist
will drink x pints of water at each rest
stop, how many pints of water will
each cyclist drink over the course of
the ride?.. ::
Laurie buys four bags of candy with ten pieces of candy in each bag then her father gives her five more pieces of candy Laurie wants to give as much of her candy as she can to each of her six friends and she wants to make sure they get a equal number of pieces how many pieces will be left over if any after Laurie gives her friends the candy
Answer:
The answer is 7 candies for each friend with a remainder of 3. If you are taking or have taken decimals i suggest you write 7.5 because candy can be split in half.
Step-by-step explanation:
First, multiply 4 by 10. The product is 40. Then, add 5. The sum is 45. Divide 45 by 6. The quotient is 7 with a remainder of 3.
I need help, this question is confusing because I dont remember learning it! Thanks♡
Answer:
you want to divide 2¾ by ¼to find how many pieces leah cut.
hope this helps.
Step-by-step explanation:
I will give brainliest if right!!!!!!!!
Answer:
Its 6 dollars, because the unit price is $4 per popover while the unit price for a bannock burger is $10 per burger. You see... If you did your math correctly, you should have a result of $6 from subtracting 4 from 10.
Have a good day!~
The sum of two numbers is 90. The larger number 14 more than 3 times the smaller number. Find the numbers.
The numbers are 71 and 19
Solution:
Let "x" be the larger number
Let "y" be the smaller number
Given that,
Sum of two numbers is 90
Therefore,
x + y = 90 ------ eqn 1
The larger number 14 more than 3 times the smaller number
Larger number = 14 + 3(smaller number)
x = 14 + 3y ------ eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
14 + 3y + y = 90
14 + 4y = 90
4y = 90 - 14
4y = 76
Divide both sides by 4
y = 19
Substitute y = 19 in eqn 2
x = 14 + 3(19)
x = 14 + 57
x = 71
Thus the numbers are 71 and 19