Step-by-step explanation:
4(2.8*4.5)=50.4
50.4/12= 4.2
4.2 means 5 tins of paint
£52.5 =price
Step-by-step explanation:
i have explained in the paper.
Goodluck
Solve 6x + 5 = 3x + 14
Step-by-step explanation:
6x-3x=14-5
3x=9
x=9/3
x=3
Step-by-step explanation:
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 9/3
x = 3
Please help! What is the division problem represented by this model?
Answer:
the answer is 42/100
42 blocks are shaded out of 100
Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit
Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
please help me answer this
Answer:
pie
Step-by-step explanation:
A line with a slope of 3 passes
through the points (2, -1) and (4,5).
Which of the following is not an
equation of the line that passes
through those points?
A. y+1 = 3(x-2)
B. y = 3x-11
C. y = 3x-7
D. y-5 = 3(x-4)
Answer:
B. y = 3x -11
Step-by-step explanation:
the general equation : (y -y1) = s(x - x1)
with a slope = s = 3
the correct equations are :
passes point (2, -1)
=> y+1=3(x-2) => option A is correct
passes point (4, 5)
=> y-5=3(x-4) => option D is correct
<=> y-5= 3x-12
y = 3x-12+5
y= 3x -7 => option C is correct
so, the incorrect equation is option B.
y = 3x -11
Equation of line in point slope form
y+1=3(x-2)A is true
y-5=3(x-4)D is true
Simplify first
y=3x-1And
y=3x-7B is false
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
PLEASE HELP THANK YOU
Answer:
74 deg
Step-by-step explanation:
Ok, so this is a bunch of steps.
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B
can someone pls pls help me?
9514 1404 393
Answer:
31°
Step-by-step explanation:
The measure of inscribed angle A is half the measure of intercepted arc BC.
∠CAB = 62°/2 = 31°
plz help me I will give u branist and follow u and also give u like plz help me
Answer:
2166.53
Step-by-step explanation:
a = 10,000(1.04)⁵
a = 12,166.53
12,166.53 - 10,000 = 2166.53
Make X the subject of the formula
[tex]y = \sqrt{ax + b} [/tex]
Answer:
[tex]x = \frac{y {}^{2} - b }{a} [/tex]
Step-by-step explanation:
[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]
Answer:
x = [tex]\frac{y^2-b}{a}[/tex]
Step-by-step explanation:
Given
y = [tex]\sqrt{ax+b}[/tex] ( square both sides )
y² = ax + b ( subtract b from both sides )
y² - b = ax ( isolate x by dividing both sides by a )
[tex]\frac{y^2-b}{a}[/tex] = x
Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation
Answer:
The number is 35.
35 divided by 7 is 5, and 5 plus 7 is 12.
:)
Let's assume the number Sushil was thinking was 'x'
Now lets understand each part,
First, Sushil divides the number by 7, writing this in numbers will give,
[tex]\frac{x}{7}[/tex]
Sushil then adds 7 to digit, this will give
[tex]\frac{x}{7}+7[/tex]
Sushil tells that the answer for the following equation is 12, so
[tex]\frac{x}{7} + 7 = 12[/tex]
Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]
Happy to help :)
If you need any help, feel free to ask
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
Make 'r' the subject of this formula: 3r - 5 = p
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
What is the inverse of the function f(x) = x +3?
Answer:
The inverse is x-3
Step-by-step explanation:
y = x+3
To find the inverse, exchange x and y
x = y+3
Solve for y
x-3 = y+3-3
x-3 =y
The inverse is x-3
Answer:
x - 3
Step-by-step explanation:
f(x) = x + 3
y = x + 3
x = y - 3
Inverse is h(x) = x - 3
9.03 which number is in the tenths place
Answer:
0
Step-by-step explanation:
think of the decimal as one
Answer:
Step-by-step explanation:
Zero (0) is in the tenths place here.
Busco amigos o amigas :D
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
What value of m makes the equation 8am/4a5=2a6 true?
Answer:
m = 11
Step-by-step explanation:
11 - 5 = 6
Which is the correct expansion of (3x+2)(3x^2+4)
Answer:6x + 3x^2 +4
depending on what your on
Step-by-step explanation:
Answer:
9x^3 + 6x ^2 + 12x + 8
Step-by-step explanation:
Do each individually.
First (3x^2)(3x) = 9x^3
Then (3x^2)(2) = 6x^2
Then (3x)(4) = 12x
Then (4)(2) = 8
Finally add everything together, since everything has a different exponent, then just combine like I have above.
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative inverse of 7, | 11-5|×|1-5|
Answer:
See Explanation
Step-by-step explanation:
a) Additive inverse of −2
the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.So the Additive inverse of -2 is 2. ∴ -2+2=0b) Additive identity of −5
Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number. -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.c) additive inverse of 3
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.d). multiplicative identity of 19
an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multipliedMultiplicative identity if 19 is 1 only, since 19 x 1 = 19.e) multiplicative inverse of 7
Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.d) | 11-5|×|1-5|
| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24What is the product?
(5r − 4)(r2 − 6r + 4)
5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
Read more about product at:
https://brainly.com/question/4344214
Select the correct answer.
You're given three angle measurements of 30° 70°, and 80°. How many triangles can you construct using these measurements?
OA 0
OB.
OC 2
OD. infinitely many
Reset
Next
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Answer:
infinitely many
Step-by-step explanation:
All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.
If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?
Answer:
$4.7 (approx)
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass
Answer:
527 grams
Step-by-step explanation:
Use the density formula, d = m/v
Plug in the density and volume, then solve for m (mass):
d = m/v
0.85 = m/620
527 = m
So, the mass is 527 grams
A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?
Answer:
28 km per hour
Step-by-step explanation:
First determine the amount of time that the trip took
17:55 - 17:40 = :15 or 15 minutes
We need the time in hours
15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours
To determine speed, take distance and divide by time
7 km ÷( 1/4 hours)
Copy dot flip
7 * 4/1
28 km per hour
The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
4
5
7
13
Answer:
4, 5, and 7
Step-by-step explanation:
Length of two sides are 4 and 7 feet.
Thier sum = 4 + 7 = 11 feet.
We know that, sum of two sides is always larger than the third side.
So, 4, 5, and 7, can not be the third side here.
Answer: 13
Step-by-step explanation: a= 4,
B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13
Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2
Answer:
The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6
Step-by-step explanation:
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82