Step-1 : Multiply the coefficient of the first term by the constant 3 • -20 = -60
Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -11 .
-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 4
3x2 - 15x + 4x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-5)
Add up the last 2 terms, pulling out common factors :
4 • (x-5)
Step-5 : Add up the four terms of step 4 :
(3x+4) • (x-5)
Which is the desired factorization
three fifths of the children in a school are boys seven eighths of the girls in the school are right handed. What fractions of the children in the school are left handed girls?
Answer:
Step-by-step explanation:
Firstly, we need to get the fraction that are girls
What we have to do is to subtract the three-fifths from the total fraction of 1
Mathematically,that would be :
1- 3/5=2/5
We have it that seven-eigths of the girls are left-handed. This mean one-eight of the girls are left handed
To get the fraction of the school that are left handed, we multiply the fraction of girls by the fraction of left-handed girls
We have this as:
1/8 x 2/5=1/20
We have it that 1/20 of the children are left-handed girls
answer this question!.
Answer:
∠A = 44°
Step-by-step explanation:
Let b represent the measure of the exterior angle at B. Let c represent the measure of the exterior angle at C. The sum of angles in the lower triangle is ...
b/2 +c/2 +68° = 180°
b +c = 360° -136° . . . . . multiply by 2, subtract 136°
b +c = 224°
__
The exterior angle b is the supplement of the interior angle there, so the interior angle B is ...
B = 180° -b
The exterior angle c is the sum of the remote interior angles, so we have ...
c = B +A
c = (180° -b) +A
A = (b +c) -180° . . . . . . . . add b-180° to both sides
A = 224° -180° = 44° . . . . substitute for (b+c)
The measure of angle A is 44°.
_____
Additional comment
The angle naming is perhaps a little unconventional, but we wanted to use names that made the answer less cumbersome to write. We consider the angle A, B, C to be the interior angles of ΔABC, and we have named the exterior angles at B and C as 'b' and 'c'.
Conventionally, 'b' and 'c' would name the sides opposite angles B and C, respectively. We're not concerned with side lengths here, so we used those letters for an unconventional purpose.
Compared to last year, the population has increased 25%. The population is now 6,600. What was the population last year?
What number of population do I put for each for percentage?
Answer:
4,950
Step-by-step explanation:
:)
1,650-25% 3,300-50% 4,950-75% 5,280-100%
Step-by-step explanation:
convert the percentage to a decimal then multiply by 6,600. To get the number of people of 100%, divide 1.25 (the percent of 6,600) by 6,600. That should be right,
(simplify)
i will give brainliest if correct
3 √2x8
3√2 × 8
= (3 × 8) √2
= 24√2
= 33.941
= 34 (approx.)
______
Hope it helps!
RainbowSalt2222 ☔
the answers of 3 √2x8 is 12
help with this please! :)
Answer:
w x 7 + 6 x 7
Step-by-step explanation:
Advice: Please make sure you cut out your tabs and your personal information while asking questions. I can easily see on the screenshot that your name is Isabella Fletcher.
If ∠ABC and ∠DBF are vertical angles we can conclude...
Answer:
We can conclude they are congruent
Step-by-step explanation:
Because of the vertical angles theorem
need help im math plz
I got it wrong never mind
Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn?
Answer: 0.48
Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.
What substitution should be used to rewrite x10−13x5+12=0 as a quadratic equation?
u=x10
u=x2
u=x5
u=x20
Answer:
C
Step-by-step explanation:
put x^5=u
Answer:
[tex]u=x^{5}[/tex]
Step-by-step explanation:
[tex]x^{10} - 13x^{5} + 12 = 0\\\\(x^{5})^{2} - 13x^{5} + 12 = 0\\\\u^{2}-13u+12=0[/tex]
write any four means by which chemical action may be induced
Answer:
See below
Step-by-step explanation:
1. Addition of the second reagent when the reaction is spontaneous (It will proceed on its own with no additional stimulus).
2. Addition or subtraction of energy (heat, light, electricity, etc) for endothermic and exothermic reactions
3. Addition of a reaction site (catalyst)
4. I can't think of a fourth, but would suggest that #2 be broken into individual categories:
a. Addition of heat,
b. Exposure to light,
c. Addition of electrons (batteries or electrical power), and
d. Removal of energy for exothermic reactions
What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.
Answer:
Well to calculate slope you just do
y2-y1/ X2-x1
In this case
9-8/3-2
Which is 1/1
THe slope is 1
Answer:
1
Step-by-step explanation:
The slope is going to be the ratio between the difference of y coordinates, and the difference in x coordinates.
[tex]m= \frac{\Delta y}{\Delta x} = \frac{3-2}{9-8} = \frac11 = 1[/tex]
Suppose that the function g is defined, for all real numbers, as follows.
find g(-3) ,g(-1), g(1)
Answer:
5/2
Step-by-step explanation:
g(-3) falls under x<=-1 so substitute -3 on x
-1/2(-3)+1
3/2+1
5/2
how many years in two scores?brainliest best answer.
Answer:
40 years
Step-by-step explanation:
I think 1 score is 20 years
so 2 scores = 2 x 20 = 40 years
I may be wrong so someone check
-Chetan K
9. Gregory's nine chickens laid an average of six eggs each per week. Gregory sold those eggs for $300 per dozen. How much money did he collect in two weeks if he sold all his eggs??
Step-by-step explanation:
Average in one week 6eggs
2 weeks 12 eggs
1 dozen =12 eggs
1 dozen =300 dollars
2*300=600 ans
Answer:
$2,700
Step-by-step explanation:
The first thing we should do is to find the number of eggs in two weeks.
6 eggs each for 9 chickens which means:
6 * 9 = 54
54 eggs per week.
In two weeks,
54 * 2 = 108
108 eggs for two weeks
Now a dozen is equivalent to 12 eggs. So if you divide 108 to 12:
108 ÷ 12 = 9
So it is 9 dozens. Then he's selling those eggs for $300 per dozen.
300 * 9 = $2,700
That's it.
Terry buys an orange for 39p.
He pays with a £1 coin.
How much change does he get?
Give your answer in pence.
Answer:
61p
Step-by-step explanation:
There are 100 pence in 1 pound, so subtract 39 from 100 to get the change.
can i have help with geometry??????
Answer:
Yeah sure, but I cant guarantee i will answer all the questions. What grade level?
find the measure of angle 1 and angle 2. justify your answer
Answer:
∠ 1 = 95° , ∠ 2 = 130°
Step-by-step explanation:
∠ 1 = 95° ( alternate angles )
∠ 2 and 50° are same- side interior angles and sum to 180°
∠ 2 + 50° = 180° ( subtract 50° from both sides )
∠ 2 = 130° ( same- side interior angle )
To join the speech and debate club, there is a $28.90 initial fee and a $2.20 yearly fee. Write an equation in slope-intercept form where x represents the number of years enrolled in the club, and y represents the total amount of fees paid.
The equation that represents the total cost of the club will be y = 2.20x + 28.90.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
To join the discourse and discussion club, there is a $28.90 beginning charge and a $2.20 yearly expense.
Let 'x' be the number of years and 'y' be the total cost. Then the equation is given as,
y = 2.20x + 28.90
Where the number 2.20 represents the slope and the number 28.90 represents the y-intercept of the line.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
A plane traveling to new york has 100 seats on board. if there are p passengers on the plane, which expression represents the number of empty seats there are on the plane
Hi math freindAnswer:
Step-by-step explanation:
What is the slope of the line?
3x-4y=73x−4y=7
Answer:
67x-7y2x-f8
Step-by-step explanation:
what is the unit price of a 24 oz box of cereal price to $3.84
Answer:
$6.25
Step-by-step explanation:
divide the weight by price
Salut comment ça va? This is french.
The cost to rent a moving van is $19.95 per day plus $0.52 per mile. The cost of renting a
car trailer to pull behind the van is $24.95 per day plus $0.24 per mile. Roberto is moving
from Los Angeles to Denver, Colorado. Which equation can he use to find his daily
rental costs c? (Use m for miles.)
Answer: 19.95 + 24.95 + (m times 0.52) + (m times 0.24)
Step-by-step explanation:
19.95 + 24.95 + (m times 0.52) + (m times 0.24)
The first 2 numbers are the one time costs then the numbers in brackets are for the cost per miles.
Describe in words the following expressions.
2x + 15
5y - 12
Answer:
2x+15 = Two times some value of fifteen
In the figure, lines j and k intersect to form the
angles shown. What is the measurements of angle 1
The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?
Answer:
1152 diapers are needed
Step-by-step explanation:
2 dozen babies is equall to 24 babies
-(1 dozen is 12 babies)
If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers
Answer:1152
Step-by-step explanation:1 DOZEN MEANS 12 SO 2 DOZEN IS 12*2WHICH IS 24
NUMBER OF DIPER A BABY WOULD NEED IS 48
NUMBER OF BABIES IS 12*2 =24
THEREFORE IF 24 BABIES EACH WOULD REQUIRE A CONTAINER WITH 48 DIPERS TOTAL NUMBER OF DIPERS NEEDED IS 24*48 WHICH IS 1152
x/-4 - 4 = -13 How do you solve for x? I am really struggling on this someone please help
Answer:
x/-4=-13+4
x/-4=9
x=(9)(-4)
x=-36
Side AB of a parallelogram ABCD is produced upto point E. If m<CBE = 35°, find m<ADC.
Answer:
The measure of ∠ADC = 145°
Step-by-step explanation:
ABCD is a Parallelogram.
AB is produced to E .
∠CBE = 35°
We know that
∠ABC + <CBE = 180[tex]\degree[/tex]
Since , they are linear pair
➜ ∠ABC + 35° = 180°
➜ ∠ABC = 180°-35°
➜ ∠ABC = 145°
We know that
In a Parallelogram, Opposite angles are equal.
➜ The opposite angle of ∠ABC = ∠ADC
➜ ∠ADC = 145°
Therefore, The measure of ∠ADC = 145°
Read more:Similar Questions
In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?
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Question in Image Rearranging Algebra expressions Will give brainliest.
Keiko measures the circumference of three fruits.
Complete the table to show Keiko's measurements, the actual measurements, the
difference between the measurement and the actual, and the percent error.
CLEAR
CHECK
6 cm
81 cm
10%
50%
20%
10 cm
Apple
Grapefruit
Watermelon
15 cm
24 cm
Keiko's measurement
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
30 cm
Actual measurement
90 cm
5 cm
Absolute difference
DRAG AND DROP
AN ITEM HERE
9 cm
Percent error
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
no
The absolute measurement specifies the magnitude of the difference
which may be positive or negative.
The completed table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Reasons:
The formulas for the inputs in the table are;
Absolute difference = Keiko's measurement - Actual measurement
The difference between Keiko's measurement and the actual measurement can be positive or negative while the absolute difference is always positive
[tex]\displaystyle Percent \ error = \mathbf{\frac{Keiko's \ measurement - Actual \ measurement}{Actual \ measurement} \times 100}[/tex]
Therefore;
[tex]\displaystyle Percent \ error = \frac{ \mathbf{Absolute \ difference}}{Actual \ measurement} \times 100[/tex]
Which gives for Apple;
The actual measurement for Apple = 15 cm - 5 cm = 10 cm
[tex]\displaystyle Percent \ error \ for \ Apple = \frac{5 \, cm}{10 \, cm} \times 100 = \mathbf{50\%}[/tex]
Grapefruit column of the table;
Absolute difference for Grapefruit = |24 cm - 30 cm| = |-6 cm| = 6 cm
The absolute difference for Grapefruit = 6 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit = \mathbf{\frac{6 \, cm}{30 \, cm} \times 100} = 20\%[/tex]
Percent error for Grapefruit = 20%
Watermelon column of the table;
Keiko's measurement = Absolute difference + Actual measurement
Using the given options, we have, 90 - 9 = 81
Therefore, the difference = -9, while the absolute difference = 9
Keiko's measurement for Watermelon = 90 cm - 9 cm = 81 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit= \frac{9 \, cm}{90 \, cm} \times 100 = 10\%[/tex]
The completed table is as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Learn more about percentage error here:
https://brainly.com/question/5145821