Step 1: Simplify both sides of the equation.
0.4(12−3x)=0.3(12x−16)
(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)
4.8+−1.2x=3.6x+−4.8
−1.2x+4.8=3.6x−4.8
Step 2: Subtract 3.6x from both sides.
−1.2x+4.8−3.6x=3.6x−4.8−3.6x
−4.8x+4.8=−4.8
Step 3: Subtract 4.8 from both sides.
−4.8x+4.8−4.8=−4.8−4.8
−4.8x=−9.6
Step 4: Divide both sides by -4.8.
−4.8x /−4.8 = −9.6 /−4.8
x = 2
A floral design on a floor is made up of 16 tiles which are triangular,
the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of
polishing the tiles at the rate of 50p per m^2?
Answer:
Answer
Area of tiles = 16 x area of 1 Δ
S=
2
a+b+c
=
2
9+28+35
=
2
72
=36
Area=
36(36−9)(36−28)(36−35)
36×27×8×1
36
6
cm
2
Area of tiles = 16 ×36
6
=1410.20.
Cost of polishing per cm
2
= 50.
Cost of polishing = 1410.90 cm
2
1410.90 x
2
1
705.45
Step-by-step explanation:
PLS HELPPLS PLS PLS ILL GIVE BRAINLY
What is the absolute value of -7?
1/7
-1/7
-7
7
Answer:
7 :)
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
21. Jim loves nuts. He plans to spend at most $24 to buy cashews and peanuts for after work
snacks. The Nut Shoppe sells peanuts for $3 a pound and cashews for $5 a pound. If Jim needs
to have at least 5 pounds of nuts for the week, how many of each type can he buy?
He can buy 5 of the $3 nut and 1 of the $5 nuts.
5x3=15
5x1=5
15+5=20 and that’s less than 24.
So Jim can use $20 to buy the $3 one 5 times and the $5 one 1 time.
Tim's pay increased by 5% to £880
a fortnight.
What was his pay before the
increase?
Answer:
£838.10Step-by-step explanation:
Let the previous salary be x
Increase = 5%
New salary = £880
x + 5% = 880x*1.05 = 880x = 880/1.05x = £838.10 (rounded)Answer:
£838.10Step-by-step explanation:
let x be past payaccording to the question
[tex]x \times \frac{105}{100} = 880[/tex]
[tex]x = 880 \times \frac{100}{105} [/tex]
[tex]x = 838.10[/tex]
81, 6, 7, 1, 42
Mode ??
Median ??
Answer:
No mode
Median 7
Step-by-step explanation:
Mode: The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.
Median: Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Answer:
Mode: no mode
No mode because there are no repeating numbers.
Median=7
Put in order from least to greatest- 1,6,7,42,81
Find the one in the middle- 7
Help needed ASAP please
Answer:
19. 0•7431
20. 1•2800
21. 0•4850
Can you help me please and thank you have a great day
slope of -6,8 and -6,-8
Answer:
use math.way.com
Step-by-step explanation:
Which pair of variables would most likely have approximately zero correlation
Answer:
I’m not sure but it’s b
Step-by-step explanation:
Write the equation of the directrix of the parabola shown below.
y2 + 16y+ 4x + 4 = 0
Answer:
x = 16 is the answer
Step-by-step explanation:
A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
(18 cm
B.
10 cm
A
5 cm
Work out the volume of cylinder B.
Answer:
Volume is 718 cm^3
Step-by-step explanation:
We need to get the radius of cylinder A
From the base area,
we have that;
A = pi * r^2
18 = 3.142 * r^2
r^2 = 18/3.142
r^2 = 5.73
r= √5.73
r = 2.39
If two shapes are similar, we have the ratio of their corresponding sides equal;
Thus;
2.39/5 = x/10
x = (10 * 2.39)/5
x = 4.78 cm
To get the volume, we use the formula
V = pi * r^2 * h
V = 3.142 * 4.78^2 * 10
V = 717.8 cm^3
This is approximately 718 cm^3
PLS HELP Anna buys bananas and apples. She buys 2 more apples than twice the number
of bananas. Altogether, Anna bought 14 fruits. How many apples did she buy?
(Hint use a bar model)
Your answer
Answer:
You have to put this in a bar model yourself so convert it later
She bought 10 apples
Step-by-step explanation:
3x + 2 = 14
why i did this
because she bought 2 times the amount of bananas, it should be x + 2x = 3x
then i added two because she bought two extra apples
so 3x+2 = 14
subtract 2
3x = 12
x = 4
So now we substitute x in apples
2x +2 = # of apples
8 +2 = 10
check
10 - 2 = 8
8/2 = 4
4 = # of bananas
Answer:
Anna bought 4 bananas and 10 apples.
Step-by-step explanation:
System of Equations
Let's call the following variables:
x = number of bananas Anna buys
y = number of apples Anna buys
She buys 2 more apples than twice the number of bananas, thus:
y = 2x + 2 [1]
Anna bought 14 fruits in total, thus:
x + y = 14 [2]
Substituting [1] in [2]:
x + 2x + 2 = 14
Simplifying:
3x = 12
Dividing by 3:
x = 4
Substituting in [1]:
y = 2*4+2 = 10
Anna bought 4 bananas and 10 apples.
what is the equation of the blue line
The equation of the blue line will be
y = 4x -3
The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.
We have,
To find the equation of the line that passes through the coordinates (1, 1) and (2, 5), we can use the point-slope form of the equation of a line.
The point-slope form of the equation is:
y - y1 = m(x - x1)
Where (x1, y1) represents one of the given points on the line, and m represents the slope of the line.
First, let's calculate the slope (m) using the given coordinates:
m = (y2 - y1) / (x2 - x1) = (5 - 1) / (2 - 1) = 4 / 1 = 4
Now, we can choose either of the given points and substitute its coordinates into the point-slope form. Let's use (1, 1):
y - 1 = 4(x - 1)
Simplifying the equation:
y - 1 = 4x - 4
y = 4x - 3
Therefore,
The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.
Learn more about the equation of a line here:
https://brainly.com/question/23087740
#SPJ2
Square root 5 x square root 5 x square root 2 x square root 2
Answer left in surds
Answer:
10 or [tex]\sqrt{100}[/tex] (in surds)
Step-by-step explanation:
[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 5×2 = 10 or [tex]\sqrt{100}[/tex]
When the same square root multiply each other, they equal to the number in the square root. E.g. [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5 because [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] also equals to [tex]\sqrt{25}[/tex], which is 5.
Hope this is helpful :)
3 tickets to the museum cost $12.75. At this rate, what is the cost of:
A: 1 ticket?
B: 5 tickets?
Answer:
Each ticket is $4.25 and five tickets would cost $21.25
Step-by-step explanation:
consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?
Because the answer to X is a negative number, and negative numbers are needed for negative answers
Answer: because it won’t make sense if it was 74y it has to have an equation or expression.
Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.
what the square root of 2000
Answer:
44.7213595
Step-by-step explanation:
I need to write something here apparently
Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15seconds or walk down it in
30seconds. One day, when the escalator was broken (and stationary), it took Thomas
20seconds to run down it.
How long, in seconds, would it take Thomas to walk down the broken escalator?
HELP ME ASAP
Answer:
amswer is 7mph
Step-by-step explanation:
i said so
What is the sale price of a $25 shirt first marked down 25% and then marked down another 15%
to the nearest cent? *
Answer:
$15
Step-by-step explanation:
multiply 25 by 0.40 and get 10. subtract from 25
*starts to calm* .....
Answer:
14
its math dude
answer
-8
explanation
3-(-8) = 11
add me as brainliest please
SOMEONE HELP GEOMETRY
ALSO THE LAST ANSWER CHOICE WAS
E. AD is congruent it equal to CD
Answer:
b? Ac should be Perpendicular to BD Or it might be A, but I'm pretty sure that it's B
Step-by-step explanation:
what is 68,302 divided by 1,000
Can someone help I've tried many times and keep getting confused by math.
Answer:
C) y = 2/3x + 2
Step-by-step explanation:
first find the slope:
(0,2)
(3,4)
(4-2)/(3-0)
2/3
y = 2/3x + b
2 = 2/3(0) + b
b = 2
y = 2/3x + 2
PLZZZ HELP ME OUT........................ PLZZ
Answer:
a) constant of proportionality is 3/5
b) 3.5cm per 1 minute
c) 21 cm water in trough after 6 min
d) 70 cm
Step-by-step explanation:
d) 21 / 6 = x / 20
7 / 3 = x / 20
2x = 140
x = 70
Which represents if x=4 then y=-2
Answer:
what are the answers?
Step-by-step explanation:
Otherwise it isn't answerable
Find the missing length indicated
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
The length of the missing side is: x = 15
Thus, option A) is the correct option.
Step-by-step explanation:
Let 'x' be the missing sides.
From the given triangle, it is clear that the segment cuts the sides into proportional ratios such 9 : 12 and x : 20 respectively.
Therefore,
9 : 12 = x : 20
9/12 = x/20
cross multiplication
12 × x = 20 × 9
12x = 180
divide both sides by 12
12x/12 = 180/12
x = 15
Therefore, the length of the missing side is: x = 15
Thus, option A) is the correct option.
Write a situation to represent the equation
Y = 5x
There are 42 students in a school lunch , 25 eat rice, 15 eat spaghetti and 11 eat neither rice nor spaghetti. (a) Draw a venn diagram to illustrate this information. (b) How many students eat both rice and spaghetti? (c) How many students eat at most one of the two types of food?
Solve
x2 + 2x – 15 = 0
Answer:
x = - 5, x = 3
Step-by-step explanation:
Given
x² + 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
5 × - 3 = - 15 and 5 - 3 = + 2, so
x² + 2x - 15 = 0
(x + 5)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3