Answer:
2, 18/b
Step-by-step explanation:
if you divide by the number of bags you will get the number of cookies in each bag.
Answer:2,18/b
Step-by-step explanation:If you multiply the cookies in a bag by b, you will get 18
2. Solve Equation Below Please Help!!
Answer:
n = 19
Step-by-step explanation:
get the -37 to the other side and solve it
Answer:
3rd answer
Step-by-step explanation:
-37+n=56
n=56+37
n=93
9x) = 27^y and X-Y = -3/2
find the value of y
Answer:
− y ln (27) + ln (9x) = 0
Select the correct answer.
Brett is planning to build two new acrylic fish tanks. He wants the rectangular prism-shaped fish tanks to have the same width and
volume.
• For one of the fish tanks, he plans to make the height of the fish tank 2 cm less than twice the width and the length 4 times the
width.
• For the other fish tank, he plans to make the length 1 cm less than twice the width and the height 6 times the width.
If y represents the volume of the fish tanks, and x is the width of the fish tanks, which system of equations could represent this
situation?
Answer:8-8 and 12 and 6
Step-by-step explanation:
The system of equations based on the given information is represented by y = 8x³ - 8x² , y = 12x³ - 6x² .
Let's set up the equations based on the information:
x be the width of the fish tanks (in cm),
y be the volume of the fish tanks (in cubic cm).
For the first fish tank:
Height = 2x - 2 (2 cm less than twice the width)
Length = 4x (4 times the width)
Volume (V) of a rectangular prism = Length × Width × Height
V = (4x) × x × (2x - 2)
V = 4x² × (2x - 2)
V = 8x³ - 8x² (equation 1)
For the second fish tank:
Length = 2x - 1 (1 cm less than twice the width)
Height = 6x (6 times the width)
Volume (V) of the rectangular prism = Length × Width × Height
V = (2x - 1) × x × (6x)
V = (2x² - x) × 6x
V = 12x³ - 6x² (equation 2)
So, the system of equations representing the situation is:
V = 8x³ - 8x²
V = 12x³ - 6x²
Therefore, the correct answer is a system of equations are
y = 8x³ - 8x²
y = 12x³ - 6x²
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The volume of this cube is 12,167 cubic millimeters. What is the value of r?
Work Shown:
length*width*height = volume
r*r*r = 12167
r^3 = 12167
r = (12167)^(1/3)
r = 23
As a check,
r*r*r = 23*23*23 = 12167
So the answer is confirmed.
reduce to lowest term. 2x^2- 18/x^2+4x-21
Answer:
[tex]\frac{2(x+3)}{x+7}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x^2-18}{x^2+4x-21}[/tex] ← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
= [tex]\frac{2(x-3)(x+3)}{(x+7)(x-3)}[/tex] ← cancel common factor (x - 3) on numerator/ denominator
= [tex]\frac{2(x+3)}{x+7}[/tex]
Jasmine is having friends over to watch a football game. She has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. How much time does Jasmine spend preparing snacks?
Answer:
1 Hour and 30 Minutes
OR
1 1/2 Hours
Step-by-step explanation:
Convert 2 1/2 hours to minutes.
That is 150
Multiply 2/5 with 150.
Subtract that from 150.
It gives 120 minutes.
Convert that back to Hours.
You get 1 Hour and 30 Minutes or 1 1/2 Hours.
A fraction is a way to describe a part of a whole. The time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that Jasmine has 2 1/2 hours until her guests arrive. She spends 2/5 of that time cleaning and the rest of the time preparing snacks. Therefore, the time spent on preparing snacks is,
Time spent on preparing for snacks = 2 1/2 - 2/5
= 5/2 - 2/5
= 2.5 - 0.4
= 2.1 hours
= 2 1/10
Hence, the time that is spent by Jasmine to prepare for snacks is 2.1 hours or 2 1/10 hours.
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type in symbols to make 3,7,12,2 equal 45
Answer:
The answer is (3×7) + (12×2) .
[tex](3 \times 7) + (12 \times 2)[/tex]
[tex] = 21 + 24[/tex]
[tex] = 45[/tex]
Simplify 3 x times the fraction 1 over x to the power of negative 4 times x to the power of negative 3.
Answer:
3x^2
Step-by-step explanation:
Given:
(3x) * {(1/x)^-4 }* (x^-3)
=(3x) * {1 ÷ (1/x)^4} * {1/x^3}
=(3x) * {1(x/1)^4} * (1/x^3)
=(3x) * (x^4) * (1/x^3)
=(3x) (x^4) (1) / x^3
Multiply the denominators
=3x^5 / x^3
Can also be written as
=3*x*x*x*x*x / x*x*x
Divide the x
= 3*x*x / 1
=3x^2
If n equals 5 and b equals 4 what is n + b * 5
Answer:
25Step-by-step explanation:
Given,
n = 5
and, b = 4
Equation:
n + b × 5
= 5 + 4 × 5
= 5 + 20
= 25 (Ans)
ind the missing length. The triangles are similar. similar 16 A. 27 B. 24 C. 16 D. 21
please help me
Expand ( p + 6 )( p - 3 )
Answer:
(p^2) + 3p - 18
Step-by-step explanation:
Have a nice day!
Answer:
2p+3
Step-by-step explanation:
(p+6)(p-3)
you have to open the brackets i.e
p+p+6-3
add p+p and you get 2p then you subtract positive 6 from 3 and you get 3
so your answer will be 2p+3
what is the answer to 4x^2+2x-10
Answer:
2 (2x^2 + x - 5)
Step-by-step explanation:
Factor 2 out of 4 x^ 2
Factor 2 out of 2 x
Factor 2 out of − 10
Factor 2 out of 2 (2x^2) + 2x
Factor 2 out of 2 ( 2 x^ 2 + x ) + 2 ⋅ − 5
Hope this can help you
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0,2).
y =
Answer:
y =( -1/2 )x + 2
Step-by-step explanation:
first step is to determine the slope of the line ( which is the rise over the run) or symbolically slope is defined as m= ∆x / ∆y, so plugging those values we get...
m= ∆x / ∆y = (-1 - 0) / (4 - 2) = -1 / 2
so next is to find the zero( y-intercept) of the function by ....
y = mx + b
y = ( -1/2)x + b (since m is equal to -1/2)
2 = ( -1/2)0 + b
2= b
Find AC (Round to the nearest tenth) PLS HURRY
Answer:
Does the answer help you?
Quiana took out a loan to pay for a new car. Initially she owned the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net changed to the loan from Quiana's perspective over the past 5 months?
Answer:
[tex]Net\ Change = \$13997.53[/tex]
Step-by-step explanation:
Given
[tex]Debt = \$15,234.68[/tex]
[tex]Monthly\ Payment= \$247.43[/tex]
[tex]Duration = 5\ months[/tex]
Required
Determine the net change
First, we need to determine the total repaid amount;
[tex]Amount = Monthly\ Payment * Duration[/tex]
Substitute values for Monthly Payment and Duration
[tex]Amount = \$247.43 * 5[/tex]
[tex]Amount = \$1237.15[/tex]
The net change is the difference between the loan amount and the repaid amount
[tex]Net\ Change = Loan\ Amount - Repaid\ Amount[/tex]
[tex]Net\ Change = \$15,234.68 - \$1237.15[/tex]
[tex]Net\ Change = \$13997.53[/tex]
Hence, the net change over the period of 5 months is $13997.53
Answer: Quiana's initial loan amount is -15, 234.68. This is the total amount of money she must pay back to the lender.
Suppose you are facing west. First you turn 180 degrees to the left. Then turn 45 degrees to the right. Then turn 90 degrees to the left. Then swap left with right. Then turn 180 degrees to the right. What direction are you facing now, if we are marking the directions with letters (North - N, South - S, East - E, West - W).
Answer:
we would be facing the North West
If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?
If [tex]5^k^-^1+5^k^-^1=m[/tex], what is [tex]2*5^k[/tex] in terms of m?
A) 5m
B) 5m÷2
C) 5m÷13
D) 5m÷26
Answer:
5m
Step-by-step explanation:
5^(k-1)+5^(k-1)=m
Going to combine like terms on left:
2×5^(k-1)=m
Law of exponents applied:
2×5^k×5^(-1)=m
Reciprocal:
2×5^k×1/5=m
Multiply 5 on both sides to obtain the requested:
2×5^k=5m
40) what is the area of a rectangular porch measuring 8 ft x 12/f
45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,
please make sure to answer both questions
help help help help help
MATHEMATICS
SECTION A (VERY SHORT ANSWERS)
1. Which of the following is irrational?
a V25
V12
b. Vs
c.
V3
2. V768 in its simplest form is:
dve
16
a.
16 V3
b. 64 V3 c.4 V3
d. 8 V3
3. The simplest rationalisation factor of 27 is:
a. b. 73
c. 27
d. 3
4. If x=2 and y = 3, then the value of xy + yt is:
a. 15
b. 17
c. 19
d. 21
a
2
5. The value of [ 8-43 + 22/12 is:
b. 2 ch d. 4
6. If p(x) = x2 – 3x + 2, then what is the value of p(0) + p(2).
7. Find the value of k, if (2x - 1) is a factor of the polynomial 6x2 + kx - 2.
8. Expand (x - y)
9. If x11 + 101 is divided by (x + 1), then what remainder do we get?
10. Find the value of x2 + 3, if(x - 5) = 13
SECTION B (SHORT ANSWERS
11. Express 0.123 in the form where p and q are integers and qf0
9
√7-√6
12. Rationalise the denominator of
√ + √6
13. Find the value of x if
&2x
14. If x2 + = 7 then find x3 +
15. If x + y + z = 10 and x2 + y2 + z = 40 find xy + y2 + zx and x3 + y + z3 - 3xyz
16. Factorize 8x3 - (2x - y)3
81
16
What is the argument of -1 + √3 i?
30°
60°
120°
150°
Answer:30
Step-by-step explanation:
X
( = [?]
DK
x Х
А AK
140°
B
HC
Angles are not drawn to scale
Answer:
40 degrees
Step-by-step explanation:
Supplementary angles are a pair of angles that add up to 180 degrees
Since ABD and DBC are supplementary, you can make the equation:
180=140+x
Simplify and you get x=40
[tex]\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]
[tex]\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree[/tex]
[tex]\bf \large \implies \: \: x \: = \: 40 \degree[/tex]
What do you notice about the absolute value of the
difference between the two numbers of -5 and -1
Which of these is NOT an integer
A) 3 raised to the power of -5
B) -3 raised to the power of 5
C) (1/3) raised to the power of -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option A
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]
⸻⸻⸻⸻
[tex]\text{Option \textbf{A} does not simplify into an integer.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Given that v = u + 10t, find y when
u= 6 and t = 9.
Answer:
hey here is the answer
Step-by-step explanation:
Subject of the formula:
It is a variable which is expressed in terms of other variables involved in the formula.
Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.
For example:
In the formula v = u + at, v is the subject.
To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.
Changing the subject of the formula:
To change the subject of a formula, begin with the variable to become the new subject, and apply inverse operation as for solving equations in the opposite order to the order conventions.
1. To make ‘u’ the subject of the formula in v = u + at,
[subtract at from both sides]
v - at = u
or, u = v - at
2. To make ‘t’ the subject of the formula, v = u + at,
[subtract u from both sides]
v - u = at
or, (v - u )/a = t
or, t = (v - u)/a
Change the Subject of a Formula
The value of the equation is v = 96 when u = 6 and t = 9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
v = u + 10t be equation (1)
when u = 6 and t = 9
Substitute the value of u and t in the equation , we get
v = 6 + 10 ( 9 )
On simplifying the equation , we get
v = 6 + 90
v = 96
Therefore , the value of v is 96
Hence , the equation is v = 96
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1. Three products from renewable resources are
Answer:
biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.
How many solutions does the system have?
Answer:
B. no solutionsStep-by-step explanation:
Left sides of both equations are the same sum (8x+2y), so the right sides also has to be the same. They are not so there is no solutions.
{If they are the same then system has infinitely many solutions.}
What is the tangent ratio of KJL? (Question and answers provided in picture.)
Answer:
Option (1)
Step-by-step explanation:
The given triangle JKL is an equilateral triangle.
Therefore, all three sides of this triangle will be equal in measure.
Side JK = JL = KL = 48 units
Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.
By applying tangent rule in ΔJML,
tan(∠KJL) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{LM}}{\text{JM}}[/tex]
= [tex]\frac{\text{LM}}{24}[/tex]
Since, Sin(K) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Sin(60)° = [tex]\frac{\text{LM}}{48}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}[/tex]
LM = 24√3
Now, tan(∠KJL) = [tex]\frac{\text{LM}}{24}[/tex]
= [tex]\frac{24\sqrt{3} }{24}[/tex]
Therefore, Option (1) will be the answer.
udin memiliki 3 ember berisi ikan hias setiap ember berisi 320 ekor berapa banyak ikan hias udin semuanya
Answer:
960
Step-by-step explanation:
3 * 320 = 960
Udin memiliki, secara total, 960 ikan hias
(Udin has, in total, 960 ornamental fish)
how many are 6 raised to 3 ???
Answer:
216
Step-by-step explanation:
When you say "6 raised to 3", it means you multiply 6, 3 times. Meaning:
6✖️6✖️6=216
Hope this helped!
Have a nice day:)