Answer:
B: x = -12
Step-by-step explanation:
12 - (3 × 2)^2 + 4 × 3
Use PEMDAS, meaning solve what's in the parentheses first (P stands for parentheses)
12 - (6)^2 + 4 × 3
We get 6 because 3 × 2 = 6
Next step is solve any exponents (E for exponents)
12 - 36 + 4 × 3
We get 36 because 6 × 6 = 36 (the exponent was 2 meaning multiply the same number, 6, twice: 6 × 6)
Now we move on to multiplication and division (M for multiplication and D for division)
These are interchangable in that either can go first depending on its location in the equation
However, since there is no division in this problem we automatically skip to multiplication
12 - 36 + 12
We answered 12 because 4 × 3 = 12
Our last steps in PEMDAS are addition and subtraction (A for addition and S for subtraction)
These are also interchangable, but both are apparent in this problem
Now it depends on location
Whichever sign (addition or subtraction) is first in accordance from left to right is where we start first)
Subtraction is first
-24 + 12
Now we add -24 + 12
-12
Solve the following system of equations graphically. y=2x-3 x+y=3 What is the solution set?
A. [(2.1))
B. {(-2, -1)]
C. {(-1,-2)]
D. {(1,2)
Manufacturing a company is designing a new rectangular shipping box that must have a
volume of 24 cubic inches. The company has created a box with a width that is 2 inches less
than its length. The height is 5 inches greater than the length. What are the dimensions?
Answer:
3in by 1in by 8in
Step-by-step explanation:
Volume of the box = Length × Width × Height
Given
Volume = 24in³
If the width is 2inhes less than the length
W = L-2... 2
Also if the height is 5 inches greater than the length, then;
H = L+5 ... 3
Substitite 2 and 3 into the formula.
V= LBH
24 = L(L+5)(L-2)
24 = L(L²+3L-10)
24 = L³+3L²-10L
L³+3L²-10L-24 =0
Factorize
The factored form is
(L+2)(L²+L−12) = 0
L²+L-12 = 0
L²+4L-3L-12 = 0
L(L+4)-3(L+4) = 0
(L+4) = 0 and L-3 = 0
L = 3in
W = L-2
W = 3-2
L = 1in
H = L+5
H=3+5
H = 8in
Hence the dimension is 3in by 1in by 8in
7). What is the area of a
rectangle with a base of
17in and height of 23in?
Answer:
80inches
Step-by-step explanation:
17+17=34
23+23=46
34+46=80
PLEASE SOMEONE HELP WITH THIS
Answer:
the 3rd one
Step-by-step explanation:
no problemo
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? Use d= r x t *
Answer:
distance= 16×32
d= 512
got it?
Solve using substitution. y = 1
3x − 7y = 8
Answer:
(5, 1)
Step-by-step explanation:
Substitute:
[tex]3x - 7*1 = 8\\3x - 7 = 8\\3x = 15\\x = 5[/tex]
so the solution is (5, 1)
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
alicia weighs 60 lbs less than her father. Their combined weights total 300 lbs at most. What is the most alicia could weigh
Write 2.15 repeating as mixed number in simplest form
Answer:
2 3/20
Step-by-step explanation:
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.)
A. 31 in squared
B. 69 in squared
C. 106 in squared
D. 125 in squared
Answer:
A
Step-by-step explanation:
What single decimal multiplier would you use to decrease by 14% followed by a 9% decrease?
Answer:
the single decimal multiplier is 0.7826
Step-by-step explanation:
The computation of the single decimal multiplier is given below:
Given that
It is reduced by 14% that followed by 9% decrease
So according to this, the following calculation is required
= (1 - 0.14) × (1 - 0.09)
= 0.86 × 0.91
= 0.7826
Hence, the single decimal multiplier is 0.7826
What is x?
(4/5)^x=64/125
Answer:
x = 3
Step-by-step explanation:
(4/5)^x = 64/125 means that 4^x / 5^x = 64/125
x can only be 3 because 4^3 = 64 and 5^3 = 125
Please mark Brainliest :)
Find the missing values in the ratio table.
Solve the following equation by completing the square: x2 +6x + 29 = 0
Answer:
no real solutions
Step-by-step explanation:
what is 2d +24 +3d =84
Answer:
12
Step-by-step explanation:
2d+24+3d=84
2d+3d=60
5d=60
d=12
Answer:
d=12
Step-by-step explanation:
2*12=24
3+12=36
24+24+36=84
Find the missing length indicated
I WILL GIVE BRAINLIEST TI CORRECT ANT
Answer:
B aka 12
plz give me brainliest
Help plz I need answe
your Answers are:
1. 0
2. 128
The cost of a gallon of milk is $.50 more than five times the cost of a gallon of water. If a
gallon of milk costs $3.75, what is the cost of a gallon of water?
Answer:
.50
Step-by-step explanation:
a) A shopkeeper marks the price of his/her goods 40 % above the cost price and
allows 20% discount. If his/her purchase price of an item is Rs 6,000, how much
should a customer pay for it levying 13 % VAT?
who will solve this question i will mark you as a brilliant
Answer:
mp=cp+40%of cp=140cp/100=1.4cp
discount=20%
cp=6000
mp=1.4cp=1.4×6000=8400
sp=mp-d%of mp=8400-20/100×8400=8400-1680=6720
sp with vat=sp+vat %of sp=6720+13/100×6720=6720+873.6=7593.6
If Sine (x) = two-fifths and tan(x) > 0, what is sin(2x)?
StartFraction 2 StartRoot 21 EndRoot Over 25 EndFraction
StartFraction 4 StartRoot 21 EndRoot Over 25 EndFraction
StartFraction 2 StartRoot 21 EndRoot Over 5 EndFraction
StartFraction 4 StartRoot 21 EndRoot Over 5 EndFraction
The value of Sin 2x if, Sin x = 2 / 5 and tan(x) > 0, is 4 √21 / 25 so, option B is correct.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine, cosine, and tangents are their names and acronyms (tan).
Given:
Sinx = 2 / 5 and tan(x) > 0,
Calculate the value of tan x as shown below,
B² = 5² - 2² (Using Pythagoras theorem)
B² = 25 - 4
B = √21
Hence, Tan x = 2 / √21
Calculate the value of Sin 2x as shown below,
Sin2x = 2 Tan x / (1 + tan² x)
Sin2x = 2 × 2 / √21 / (1 + (2 / √21)²)
Sin2x = 4 / √21 / (1 + 4 / 21)
Sin2x = 4 / √ 21 / (25 / 21)
Sin2x = 4 √21 / 25
Thus, the value of Sin2x is 4 √21 / 25.
To know more about Trigonometry:
https://brainly.com/question/17081568
#SPJ5
Answer:
B
Step-by-step explanation:
just took it
y = - 2x + 2
2x + y = 2
What is the solution to this ??
Pls helpppp
Answer:
Infintely many solutions
Step-by-step explanation:
I'm going to assume that the capital y is equal to the lowerase y
if you subtract y and two from both sides in the second equation you get
-y=2x-2
you then divide by -1 to get it into a normal form
y= -2x+2
this is the same as the first equation, these lines are the same
Which of the following expressions are equivalent to 20x2−116x+80 ? Select all that apply.
A. (x−5)(5x−4)
B. 4(x−5)(5x−4)
C. 4(x+5)(5x+4)
D. 4x(5x−29)+20
E. 4x(5x−29+80)
F. 2(10x2−58x+40)
Answer:
a f e
Step-by-step explanation:
If 5 people are going to share
11.8 ounces of cheese, how
much will each person get?
Answer:
2.36 ounces
Step-by-step explanation:
11.8 ounces / 5 people = 11.8/5 = 2.36 ounces each.
Answer:
2.36 oz
Step-by-step explanation:
To answer this, we need to divide 11.8 oz by 5.
11.8/5 = 2.36
So each person gets 2.36 ounces of cheese
Identify the zeros of each function. y=(x-7)^2
9514 1404 393
Answer:
x = 7 (multiplicity 2)
Step-by-step explanation:
When the function is written in factored form, the zeros are the values of the variable that make the factors zero.
y = (x -7)(x -7)
The values x = 7 and x = 7 will make the factors zero. The zero is said to be x=7 with multiplicity 2.
__
On the graph, the zeros are the x-intercepts (where y=0). The graph only touches the x-axis, but does not cross. With some experience, you can recognize that this is a zero with even multiplicity (2).
100 POINTS! I WILL MARK BRAINLIEST. ONLY ANSWER IF YOU KNOW HOW TO DO IT. RANDOM ANSWERS WILL BE REPORTED! :)
Answer:
the cords are 4 -2
Step-by-step explanation:
Answer:
First pic (4, -2) second pic (-3, 2)
can someone please help me with number one asap!!
Answer:
a = 60
b = 60
c = 120
Step-by-step explanation:
For a;
a + 120 = 180
This is because angles on a straight line are supplementary
a = 180-120
a = 60
a = b = 60
This is because they are corresponding angles and corresponding angles are equal
c = 120
This is because they are alternate exterior angles and alternate exterior angles are equal
A baseball card that originally cost $24 has been decreasing in value
at an annual rate of 6% for the last 5 years. What is the present value?
Answer:
I believe it is four dollars
Help? I need it quick!ty<3
Answer:
Step-by-step explanation:
(1,3)
12x -20=n (3x-5)
I need help I don’t get it please help me.
Answer:
The value of n = 4 and
The value of x = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Method I:
As given, 12x -20=n (3x-5) .........(1)
Firstly , take 12x - 20
As 12x - 20 can be written as 4(3x - 5)
∴ equation (1) becomes
4(3x - 5) = n (3x-5)
Divide the equation by (3x-5) , we get
4 = n
Method II:
As given, 12x -20=n (3x-5)
⇒12x - 20 = 3nx - 5n
⇒12x - 3nx = 20 - 5n
⇒3x(4 - n) = 5( 4 - n)
Divide the equation by (4-n) , we get
3x = 5
⇒ x = [tex]\frac{5}{3}[/tex]
∴ we get
n = 4 and x = [tex]\frac{5}{3}[/tex]
Now, check that value of n and x satisfies the equation or not
12([tex]\frac{5}{3}[/tex]) - 20 = 4( 3([tex]\frac{5}{3}[/tex]) - 5)
⇒4(5) - 20 = 4(5 - 5)
⇒20 - 20 = 4(0)
⇒ 0 = 0
Hence , we get
The values of x and n satisfies the equation
so, we get
n = 4 and x = [tex]\frac{5}{3}[/tex]
Back Next
Question 6
Determine whether each pair of triangles is similar. Justify your answer.
10
18 25
(85°
45
85
Ω
Answer:
The triangles are similar as the ratio of their corresponding sides are equal
Step-by-step explanation:
When two triangles are similar, the ratio of their corresponding sides are equal
As we can see, 85 is between 10 and 18
The ratio of the numbers will be ;
10/18 and 25/45
To the simplest terms;
5/9 and 5/9
Since the ratio is equal, then the triangles are similar