Answer the Both (a) and (b) . And show the method too. I will make Brainelist + 50 points
Answers
#a
4p-6pq+9q-64p-3(2pq+3q-2)#b
That be x and y
So
x+y=15--(1)2x+4y=64--(2)So
from eq(1)
x=15-y--(3)Put in second one
2(15-y)+4y=6430-2y+4y=642y=34y=17Put in third one
x=15-17x=-2Take it positive
x=2Answer:
(a) (i) Factorize [tex]\sf 4p-6pq+9q-6[/tex]
Rewrite by swapping the order of the first two terms:
⇒ -6pq + 4p + 9q - 6
Factorize the first two terms and the last two terms separately:
⇒ -2p(3q - 2) + 3(3q - 2)
Factor out the common term (3q - 2):
⇒ (3q - 2)(-2p + 3)
(ii)
Square of the binomial: [tex](a+b)^2=a^2+2ab+b^2[/tex]
Rewrite [tex]9.9[/tex] as [tex]10 - 0.1[/tex]
Therefore, [tex]a = 10[/tex] and [tex]b = -0.1[/tex]
Also, remember that multiplying a number by 0.1 is the same as dividing it by 10. (when dividing a decimal number by 10, simply move the decimal point 1 place to the left).
[tex]\begin{aligned}\implies 9.9^2 & =(10-0.1)^2\\ & =10^2-2 \cdot 10 \cdot 0.1+0.1^2\\& = 100-\dfrac{2 \cdot 10}{10}+\dfrac{0.1}{10}\\& =100-2+0.01\\ & =98 + 0.01\\ & = 98.01\end{aligned}[/tex]
(b) (i)
Let x = number of motor bicycles
Let y = number of cars
Given:
There are 15 vehicles of two types⇒ x + y = 15
Given:
The number of tires in all vehicles is 64- Motor bicycles have 2 tires each
- Cars have 4 tires each
⇒ 2x + 4y = 64
(ii) Rewrite x + y = 15 to make x the subject:
⇒ x = 15 - y
Substitute into 2x + 4y = 64 and solve for y:
⇒ 2(15 - y) + 4y = 64
⇒ 30 - 2y + 4y = 64
⇒ 30 + 2y = 64
⇒ 2y = 34
⇒ y = 17 cars
Substitute found value of y into x = 15 - y to find x:
⇒ x = 15 - 17 = -2 motorbikes
**There must be an error in the question, as with the given information, the number of motorbikes is -2, which is impossible.**
Here are the possible combinations of number of motorbikes (M) and number of cars (C) whose sum of tires is 64. As you can see, there is no combination that sums to 15 vehicles:
0 M + 16 C = 16 vehicles
2 M + 15 C = 17 vehicles
4 M + 14 C = 18 vehicles
6 M + 13 C = 19 vehicles
8 M + 12 C = 20 vehicles
10 M + 11 C = 21 vehicles
12 M + 10 C = 22 vehicles
14 M + 9 C = 23 vehicles
16 M + 8 C = 24 vehicles
18 M + 7 C = 25 vehicles
20 M + 6 C = 26 vehicles
22 M + 5 C = 27 vehicles
24 M + 4 C = 28 vehicles
26 M + 3 C = 29 vehicles
28 M + 2 C = 30 vehicles
30 M + 1 C = 31 vehicles
32 M + 0 C = 32 vehicles
Related Questions
Solve: |2x+3|=2 CAN SOMEONE PLEASE EXPLAIN THIS TO ME!!!
Answers
Answer:
-1/2 or -5/2
Step-by-step explanation:
| | means the absolute value (distance from 0), so there is going to be a positive case and a negative case (distance from the negatives and distance from the positives).
POSITIVE CASE
[tex]2x+3=2\\2x=-1\\x=-\frac{1}{2}[/tex]
NEGATIVE CASE
[tex]-(2x+3)=2\\-2x-3=2\\-2x=5\\x=-\frac{5}{2}[/tex]
So, your answer would be -1/2 or -5/2.
Step-by-step explanation:
after 4x^2+12x+5
do sum and product but I solved it directly through calculator
hope it helps
Can someone help me with this question?
Answers
Step-by-step explanation:
hope it helps, I have chegg and they seem to have more answers and a lot of topics. you can scan your books bar code and get end of chapter questions
Help help help help help
Answers
Answer:
(-9, -6)
Step-by-step explanation:
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answers
Answer: 25
Step-by-step explanation:
Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.
Answers
Answer:
216
Step-by-step explanation:step 1
first you are going to multiply and add all of the things that need to be multipied and added
4x3=12
12x2=24
172+9= 181
^ 12+24+181= 217
second step: put 217 and x+1 in an equation
you cant divide a number with an x, so you have to put it in an equation and solve for x
x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)
x=216
100 Points and Brainly.
Graph The equation: y=(-x)-6
Gibberish for points WILL NOT be tolerated.
Please, if you can, try to make the mark ON the picture I have provided, in red.
Answers
function : y = (-x) - 6
Find x-intercept :
(-x) - 6 = 0(-x) = 6x = -6Find y-intercept :
y = (-0) - 6 y = -6mark these two points on both the axis and draw a straight linear graph.
passes coordinates : (0, -6), (-6, 0)
[tex]\\ \rm\rightarrowtail y=-x-6[/tex]
Take some point s
(1,-7)(2,-8)(3,-9)Graph it
Jameson wants to construct a ladder that has 8 rungs. Each rung is
3.2 feet wide. The two sides measure 10.6 feet each. The wood is
sold for $2.25 per linear foot. Find how much the wood to construct
this ladder will cost Jameson. 5.NBT.7
Answers
Answer:
$23.85
Step-by-step explanation:
Linear foot- sold by the lenght.
Therefore you dont worry about the 3.2 feet wide
So now we multiply 10.6 * 2.25
which is...
$23.85
Q13
A man has a flight at 19:15 on Thursday. He must arrive at the airport 2 hours before this time to
check in.
He needs to know what time he should leave home.
He will park his car at the airport car park and it will take 15 minutes to get to the check in counter.
The distance from his house to the airport is 90 miles.
He will drive at an average of 60miles per hour.
Answers
Answer: around 6 or 5 o clock
Step-by-step explanation: hope this helps
helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
Answers
Answer:
Its mass or size.
The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.
find the total area of cardboard used in making a matchbox, complete with the sliding portion, 4cm long, 2.5cm wide, and 1.2cm deep (ignore the thickness of the cardboard)
Answers
Answer: 55.2 cm^2
Step-by-step explanation:
2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2
(2x1.2x4 + 4x2.5) = 19.6 cm^2
(35.6 + 19.6) = 55.2 cm^2
I had to only use a pic because no one would be able to understand, worth 100 points IF you get it correct.
Answers
Total left
2-1/4+2/4+1-3/49/4+2/4+7/49+2+7/418/44-2/4Answer:
[tex]4\:\dfrac{2}{4}[/tex]
Step-by-step explanation:
Add the amounts of each pie left :
[tex]2 \frac{1}{4}+\dfrac{2}{4}+1 \frac{3}{4}[/tex]
Separate the whole numbers and the fractions:
[tex]\implies 2+ \dfrac{1}{4}+\dfrac{2}{4}+1+\dfrac{3}{4}[/tex]
Add the whole numbers and fractions separately:
[tex]\implies 2+1+\dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}[/tex]
[tex]\implies 3+\dfrac{6}{4}[/tex]
Convert 6/4 into a mixed number:
[tex]\implies 3+1\frac{2}{4}[/tex]
Add the whole numbers:
[tex]\implies 4\frac{2}{4}[/tex]
the legnth of a rectangle is three times its width. if the length of the perimeter is 64 in, find the length and width
Answers
Answer:
Length and width of rectangle is 24 and 8 inchesStep-by-step explanation:
Given:
Length of rectangle is three times the widthPerimeter of rectangle is 64 InchesTo Find:
Length and WidthSolution:
Let's assume Width of rectangle x inches and length be 3x inches. To calculate the dimensions of The rectangle we will use the formula of Perimeter of rectangle:
Perimeter of rectangle = 2(L + B)
→ 64 = 2(3x + x)
→ 64 = 2(4x)
→ 64/2 = 4x
→ 32 = 4x
→ 32/4 = x
→ 8 = x
Hence,
Length of the rectangle = 3x = 3(8) = 24 inchesWidth of the rectangle = x = 8 inchesAnswer:
Length = 24 inchesWidth = 8 inches⠀
Step-by-step explanation :
⠀
As it is given that, the legnth of a rectangle is three times its width and the perimeter is 64 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as w inches and therefore, the length will be 3w inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 (3 x + x )= 64 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 (4x )= 64 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{8x= 64 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{64}{8} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 8}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 8 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 3x }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 3 \times 8 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed{ \frak{\pmb{Length = 24}}}}}} \: \: \bigstar[/tex]
⠀
Therefore,
The length of the rectangle is 24 inches .⠀
The measure of an angle is 74.4°. What is the measure of its complementary angle?
Answers
Answer:
15.6
Step-by-step explanation:
complementary angles sum up to 90
90-74.4=15.6
therefore the measure of it's complementary angle is 15.6
Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation
Answers
Answer:
f(x) = 5/4x
Step-by-step explanation:
The equation of the line can be found using the 2-point form of the equation of a line:
y -y1 = (y2 -y1)/(x2 -x1)(x -x1)
This can be rearranged to the desired funtional form.
__
Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...
y -10 = (5 -10)/(4 -8)(x -8)
y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify
The equation can be written ...
f(x) = 5/4x
Help ASAP.
i need you to please break it down ive tried and just don't understand
Answers
Answer:
A) -4
Step-by-step explanation:
Question
[tex]\sf evaluate \ \dfrac{-4+(m+2)}{n} \ \sf when \ m=\dfrac23 \ and \ \sf n=\dfrac13[/tex]
Solution
Substitute the given values of m and n into the original expression:
[tex]\sf \implies \dfrac{-4+(\frac23+2)}{\frac13}[/tex]
Carry out the operation in the brackets first [tex]\sf (\frac23+3)=\frac83[/tex]
[tex]\sf \implies \dfrac{-4+\frac83}{\frac13}[/tex]
Now carry out the operation in the numerator [tex]-4+\frac83=-\frac43[/tex]
[tex]\sf \implies \dfrac{-\frac43}{\frac13}[/tex]
Dividing by a fraction is the same as multiplying by the flipped version of the fraction (flipped = swap the numerator and denominator of the fraction we are dividing by):
[tex]\sf \implies -\dfrac43 \div \dfrac13=-\dfrac43 \times \dfrac31[/tex]
To multiply a fraction, simply multiply the numerators and multiply the denominators:
[tex]\sf \implies -\dfrac43 \times \dfrac31=\dfrac{-4 \times 3}{3 \times 1}=-\dfrac{12}{3}[/tex]
Finally simplify:
[tex]\sf \implies -\dfrac{12}{3}=-4[/tex]
Given that V=1,3,4,2 and W= 6,4,7,2 then VW is
Select one:
of
O 4
0 1,3,6,7
O 2
0 2,4
Answers
Answer:
2,4 possibly
Step-by-step explanation:
if its V (intersection) W
then its 2,4
if it has something to do with patterns then i dont know
What is the area?
2 yd
8 yd
5 yd
Answers
Answer:
28
Step-by-step explanation:
I assume the polygon is a trapezoid with parallel bases of 2 yd and 5 yd, and an altitude of 8 yd.
area of trapezoid = (base1 + base2)h/2
area = (2 yd + 5 yd)(8 yd)/2
area = 28 yd²
Alma reads 2 books each week Which number line best represents the number of weeks it
will take her to read at least 28 books?
Answers
Answer:
[C]
Step-by-step explanation:
To Find:
which number line represents the number of weeks it will take Alma to read at least 28 books.
Solve:
Create an inequality from the given information :
( 2x ≥ 28, where x represents the number of weeks)
Then divided both sides of the inequality by 2, resulting in x ≥ 14, or all values greater than or equal to 14.
Now, chosen the number line that shows all numbers greater than or equal to 14 (all the numbers to the right of 14 and including 14, which is indicated by a shaded circle).
Hence, [C} is the correct answer.
~Lenvy
The fuel gauge shows how much fuel is left in a 10 gallon tank. How far can you drive if the car's average fuel consumption is 40 miles per gallon?
Answers
Answer:
ok so we have 10 gallons left and we get 40 miles per gallon so this is just multiplycaiton
10*40=400
so you can get 400 more miles
Hope This Helps!!!
cos(theta)+1 / tan^2(theta) = cos(theta) / sec(theta) - 1
Answers
find the average rate of change of over the interval (0,9 ]
Answers
Answer:
3. 10/9
4. 34
Step-by-step explanation:
The average rate of change of f(x) over the interval a ≤ x ≤ b is:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Problem 3
Given interval: 0 ≤ x ≤ 9
From inspection of the graph:
f(0) = -7f(9) = 3[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]
Problem 4
Given:
function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6⇒ f(1) = (1)³ - 9(1) = -8
⇒ f(6) = (6)³ - 9(6) = 162
[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]
Kim is 15 years old. Her father is 4 times as old as her now. In how many years time their total age be 115 years.
Answers
Answer:
100 later kim will be 115
Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?
Answers
Answer:
your mom
u.w.u
lol
haha
study well
Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Answers
Step-by-step explanation:
1 kilowatt=1000 watt
tv watch time=4*30=120
the watt tv consume=120*150=18000
the kilowatt tv consume=18000/1000=18
electricity cost =10*18
180 cents
Write the linear inequality shown in the graph. The gray area represents the shaded region.
x > –3
y ≥ –3
y > –3
x ≥ –3
Answers
Answer:
y > –3
Step-by-step explanation:
by looking at the graph we notice that the (shaded/gray) area which we are focusing on covers all the values of x ,on the other hand it only covers the values of y which they are Greater than -3
Remark : y > -3 not y ≥ -3 because the line that separates the shaded region and the other one is a broken line.
Answer:
y > –3
Step-by-step explanation:
Solve the inequality 46 > y + 11
Answers
Answer:
Inequality Form:
y<35
Interval Notation:
(−∞,35)
Answer:
y is smaller than 34 or less
Step-by-step explanation:
put the 11 to the other side and make it a negative then you get 46-11=35 than it says 35>y
given determinant of a (a b c,d e f ,g h i) is -2 find determinant of ( g h i ,a b c ,d e f)
Answers
ANSWER:-
-2
Step-by-step explanation:
(abc, def, ghi) is -2
What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?
Answers
Answer:
980
Step-by-step explanation:
[tex]A = \frac{H.B}{2} = \frac{28.70}{2} = 980[/tex]
Hope it helps!!!Brainliest pls!!!Answer:
21
Step-by-step explanation:
100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?
Answers
Answer:
120 min
Step-by-step explanation:
step 1. divide 100% by 2.5 (=40)
step 2. 40 time 3 minutes = 120!
so by the time it gets to 120 minutes it 100% and guaranteed
Answer:
120 mn
Step-by-step explanation:
100 PTS/// If you have a 2.5% chance of getting something every 3 minutes how long will it take until that's guaranteed?
How are genetic engineering and artificial selection different? (in your own words)
Answers
Artificial selection picks previously existing qualities by breeding individuals with favourable traits, whereas genetic engineering affects the genetic composition of plants or animals by adding new genes or silencing genes.