HELP MARK AS BRAINLIST
Answer:
12 square units
Step-by-step explanation:
formula= a+b/2×h
a=2
b=6
h=3
the answer will be = 2+6/2×3
=8/2×3
=4×3
=12
Answer:
17 square units i think
Which inequality is true
The first one on the left.
The vertical bars mean we take the absolute value of that number.
Absolute value means distance from zero on a number line.
So the absolute value of any number
is the positive version of that number.
So for the one on the left we have |-100| > |50|.
Since absolute value represents the positive version
of a number, the absolute value of -100 will be 100.
Since |50| is already positive, it stays the same.
So we have 100 > 50 which is indeed a true statement.
If you solve the other ones, you will see that they are false.
Answer:
the first one on the left side
Step-by-step explanation:
If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2%
Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
two groups of students order cheeseburgers and chicken nuggets at mcdonald’s. one order of 9 cheeseburgers and 4 chicken nuggets cost $22.37. the other order of 3 cheeseburgers and 4 chicken nuggets cost $15.23. find the cost of a cheeseburger
Answer:
$1.19
Step-by-step explanation:
Let the cost of a cheeseburger be $b and that of a chicken nugget be $n.
From the given information, we can form 2 equations.
9b +4n= 22.37 -----(1)
3b +4n= 15.23 -----(2)
Notice that the 2 equations have '4n' in them. I'll be using elimination method to solve the equation by getting rid of the 4n.
(1) -(2):
9b +4n -(3b +4n)= 22.37 -15.23
9b +4n -3b -4n= 7.14
6b= 7.14 (simplify)
b= 7.14 ÷6 (÷6 on both sides)
b= 1.19
Thus, a cheeseburger cost $1.19.
Answer:
Step-by-step explanation
1.19
In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four winners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners
( if your doing this can you please do it step by step )
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
A classroom will be assembled so that the desks fit within an area that is 8 m by 12 m. The desks will be surrounded by a border that will be the same width on all sides of the rectangular room, to
allow for walking space. The area of the border will equal 20% of the area of the space that the desks
occupy. What is the width of the border, to the nearest hundredth of a meter?
Answer:
0.46 m
Step-by-step explanation:
area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2
20% of this area is 20% * 96 m^2 = 19.2 m^2
The area of the border is 19.2 m^2.
Let the path around the desks have width x.
The area of desks plus path is a rectangle 2x + 8 by 2x + 12.
area of desks plus path = (2x + 8)(2x + 12)
= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96
The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.
area of border = (4x^2 + 40x + 96) - (96) =
= 4x^2 + 40x
Above, we have the area of border = 19.2, so we get this equation:
4x^2 + 40x = 19.2
4x^2 + 40x - 19.2 = 0
x^2 + 10x - 4.8 = 0
We now use the quadratic formula to solve the equation for x.
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{119.2 )}{2} [/tex]
[tex] x = 0.46 [/tex] or [tex] x = -10.46 [/tex]
We discard the negative solution.
Answer: the border is 0.46 m wide.
6(5 – 3x) – 5(3x + 2)
Given
[tex]6(5-3x)-5(3x+2)[/tex]
Distribute
[tex](30 - 18x)+(-15x-10)[/tex]
Rearrange and solve
[tex](-18x+30)+(-15x-10)[/tex]
Subtract (30) to both sides
[tex](-18x+30)-30+(-15x-10)-30\\(-18x)+(-15x-40)[/tex]
Add (15x) to both sides
[tex]+15x(-18x)+(-15x-40)+15x\\-3x+40[/tex]
Your answer is
[tex]-3x+40[/tex]
Could someone help me out
Answer:
−10d^4+17d^2s−6s^2
PLEASE determine the product or quotient:
a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a
Answer:
a ) - 8x^7,
b ) - 4m^2 / nx,
c ) - 11a^2b^18 / 5
Step-by-step explanation:
[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]
To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7
[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]
Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx
[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]
I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.
I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.
ii) The size of angle p+q+r =
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
1/3 of 13/2 * 3/4(56/7)
= 1/3 of 13/2 * 3/4*8
= 13/6 * 3/4*8
= 13/6 *6
= 13
Hope this helps.
If you were given the area of a figure and told that all the dimensions of the figure would be cut in half, how could you find the area of the new similar figure?
Multiply the area of the original figure by 4.
Divide the area of the original figure by 1/2 .
Multiply the area of the original figure by 1/2 .
Divide the area of the original figure by 4.
Answer:
multiply the area of the original by 1/2
Step-by-step explanation:
when cutting a shape in half, its area is also halved, but not all dimensions change
Answer:
Divide the area of the original figure by 4.
Step-by-step explanation:
Area of current figure:
A= abArea of new figure:
A'= 1/2a*1/2b= 1/4ab= 1/4ASo the area of the original figure to be divided by 4
Last answer option is correctWork out the surface area of the solid cuboid. The diagram is not drawn to scale.2cm,4cm and 5cm
The surface area of the solid cuboid is 76 cm²
Calculating the surface area of a cuboidFrom the question, we are to determine the surface area of the cuboid
The surface area of a cuboid is given by the formula,
Surface area = 2(lb + lh + bh)
Where l is the length
b is the breadth
and h is the height
Let
l = 5 cm
b = 4 cm
h = 2cm
Then,
Surface area = 2(5×4 + 5×2 + 4×2)
Surface area = 2(20 + 10 + 8)
Surface area = 2(38)
Surface area = 76 cm²
Hence, the surface area of the solid cuboid is 76 cm²
Learn more on Calculating the surface area here: https://brainly.com/question/26403859
#SPJ1
Rewrite 6/4 as a percent. Make sure to label your answer with %.
Answer:
to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator
I need help with this question. What makes 9/4, when you have to divide a number by 4?
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex]x \div 4=9/4[/tex]
[tex]x=9/4 \times 4[/tex]
[tex]x=36/4[/tex]
[tex]x=9[/tex]
Answer:
9
Step-by-step explanation:
x/4=9/4
x=9 (multiply both sides by 9)
8.
Describe how the graph of y = |x|- 4 is like the graph of y = |x| and how it is different.
Pls help me. I need this done ASAP thank you :)
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
So she has 14 shirts in all. There are 10 colored shirts.
[tex]\frac{10}{14} =\frac{5}{7}[/tex]
answer 5 /7
hi there are fourteen shirts and the more shirts the less of a possiblility
Step-by-step explanation:
if you want a percentage its 7.14 %
i hope i helped if you need help with any thing else please tell me :)
please mark as brainliest
Please help me with this
Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= 401.92
V of rectangular prism = 14 * 8 * 12
= 1344
Add = 401.92 + 1344
= 1,745.92
1,745.92 is the answer.Rounded the answer is Ctrue or false ? why and why not ?
8a - (8a - 8) is equivalent to 8
Answer:
True
Step-by-step explanation:
Apply the distributive property
8a-(8a)- -8
Multiply 8 by -1
8a-8a- -8
Multiply -1 by -8
8a-8a+8
Simplify by adding terms
Subtract 8a from 8a
0+8
Add 0 and 8
8
Hope this helps :)
if 11x+5y = 9
11x +3y=1
.
[tex]the \: value \: of \: x \: is \: - 1. \\ the \: value \: of \: y \: is \: 4 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
AYÚDENME!!!! T.T PORFA
Answer:
Por el teorema de 30 grados en un triangulo rectangulo la linea roja es [tex]\sqrt{3}[/tex] veces la longitud del cateto opuesto al angulo de de 30. Por tanto la linea roja será:
[tex]l=\sqrt{3}\times3\sqrt{3}=9[/tex]
Luego
[tex]x=9-3=6[/tex]
if 60% of a number is 90, what is 4/5 of the number
Answer:
120
Step-by-step explanation:
To solve this, we can first find the value of the number.
Let's name the number x.
We can set up a proportion to solve.
90/60=x/100
Simplify.
9/6=x/100
Cross multiply.
6x=900
Divide both sides by 6.
x=150
The original number is 150.
Let's find 4/5 of that.
4/5*150
Multiply.
600/5
Divide.
120
________________________________
Hey!!!
Solution,
Let the number be X
60% of X=90
or,60/100*X=90
or,3/5*X=90
or,X=90/3/5
or,X=90*5/3
or,X=450/3
X=150
Again,
4/5 of X
=4/5*150
=120
The answer is 120
hope it helps
Good luck on your assignment
_____________________________
PLZ HELP 15 PTS
If [tex]A=\left[\begin{array}{ccc}2&4&-2\\4&-5&7\\2&7&5\end{array}\right][/tex]and [tex]AB=\left[\begin{array}{ccc}24\\-46\\-2\end{array}\right][/tex], what is the value of matrix B?
Answer:
C ) B = [tex]\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]
Step-by-step explanation:
URGENT!!! JUST NEED THESE 3!!! WILL GIVE BRANLIEST!!!
1. What is the measure of angle x? IMAGE 1 TO THE RIGHT SIDE IT IS 23 DEGREE AND TO THE LEFT IT IS 10 DEGREE
A) 100°
B) 147°
C) 60°
D) 33°
2. What is the measure of angle EGH? IMAGE 2
A) 102°
B) 38°
C) 78°
D) 26°
3. Find the value of x. IMAGE 3
A) 9.14
B) 15.2
C) 5.58
D) 10
Answer:
B.
A.
D.
Step-by-step explanation:
1.) Do 10 + 23 + x = 180. x = 147 Triangles add to 180, remember this or fail
2.) Do 64 + 38 + x = 180 to find the missing ∠G. G = 78
Now, a line is equal to 180 degrees. Remember this or you will fail. Do 180 - 78 to get your missing angle. 102 degrees
3.) Adjacent angles add up to equal 180, this is a very simple geometry concept. Remember it. 5x + 3 + 12x + 12 = 180
17x + 15 = 180
Subtract 15 from both sides to get 17x = 165
Divide both sides by 17 to get your x value of about 10
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
35/70*100 = 50 miles
Step-by-step explanation:
What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)
Answer:
x= 4 y = -1
(5,-1)
Step-by-step explanation:
x + y = 4 x − y = 6
Add the two equations together to eliminate y
x + y = 4
x − y = 6
---------------
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
Now find y
x+y = 4
5+y = 4
Subtract 5 from each side
5+y-4 = 4-5
y = -1
Answer
5,-1
Step-by-step explanation:
edg 2020
Can someone help me with this question ? 10points.
Given PB tangent. PV,PU Secants. If m VU=70 degrees and m ST=30 degrees, then m angle 2=? 20,50,35
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
odysseywar said i got it right
The train holds 66 passengers.
It starts out empty.
It picks up 1 passenger at the first station, 2 passengers at the second station, 3
passengers at the third station, and so on.
No one gets off.
After how many stations will the train be full?
Answer:
1,2,3,4,5,6,7,8,9,10,11
3 + 7 + 11 + 15 + 19 + 11
10 + 26 + 19 + 11
55 + 11 = 66
11 stations
Hope this helps
Step-by-step explanation:
Answer:
11 stations.
Step-by-step explanation:
1st stop = 1
2nd stop 1+2=3
3rd stop 3+3=6
4th stop 6+4=10
5th stop 10+5=15
6th stop 15+6=21
7th stop 21+7=28
8th stop 28+8=36
9th stop 36+9=45
10th stop 45+10=55
11th stop 55+11=66
I WILL MARK YOU BRAINLIEST!!!!! HELP PLZZ!!!!
Answer:
The zeros of the function are the numbers when put in the function will make it equal to zero
let y = 0
2x² +5x +2 = 0
(x + 2)(2x + 1) = 0
x = 2 , x = -1/2
The answer is option c.
Step-by-step explanation:
x = 2,x = -1/2
=)))))))))
