Answer:
[tex]\huge\boxed{\bf\: 4 (x + 3) \: and \: 4x + 12 }[/tex]
Step-by-step explanation:
Let the variable be 'x'.
Sum of 3 and x = x + 34 times the sum of 3 and x = 4 (x + 3)Expression : 4 (x + 3)
On expanding ,
4 (x + 3)
= (4*x) + (4*3)
= 4x + 12 ⟶ equivalent expression to the statement .
[tex]\rule{150pt}{2pt}[/tex]
Segment bc is parallel to De. Use the proportion from a B to BD to find the missing length of CE
Answer:
CE = 6
Step-by-step explanation:
we use the proportion relationship:
[tex]\frac{AB}{BD} = \frac{AC}{CE\\}\\then[/tex]
[tex]\frac{2}{3} = \frac{4}{CE}\\\\then[/tex]
2×CE = 3 ×4 (cross multiply)
then
2×CE = 12
then
CE = 12/2 = 6
double d, then subtract 9 from the result
Answer:
2d - 9.
Step-by-step explanation:
That would be
double d = 2d
subtract 9 = -9 to give:
2d - 9.
Jane has two savings accounts, Account S and Account C. Both accounts are opened with an initial
deposit of $400 and an annual interest rate of 4.5%. No additional deposits are made, and no withdrawals
are made. Account S earns simple interest, and Account c earns interest compound annually. Which account will earn more interest after 10 years? How much more?
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The account which is earning compount interest will earn $41.19 more on interest.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]\text{Simple Interest}= \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The interest on account S which earns simple interest at rate of 4.5% can be written as,
[tex]\text{Interest in Account S}= \dfrac{P \times R \times T}{100} = \dfrac{\$400 \times 4.5 \times 10}{100} = $180[/tex]
The interest on accout C which earns compound interest at a rate of 4.5% can be written as,
[tex]\text{Interest in Account C}=P(1+r\%)^n - P\\[/tex]
[tex]\text{Interest in Account C}=\$400(1+4.5\%)^{10} - $400 = $221.19[/tex]
The difference in the amount earned by the two account will be,
[tex]\rm Difference = (Interest\ in\ Account\ C) -(Interest\ in\ Account\ S)[/tex]
[tex]=\$221.19 - \$180\\\\=\$ 41.19[/tex]
Hence, the account which is earning compount interest will earn $41.19 more on interest.
Learn more about Simple Interest:
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6a-4(2a+3)
what is the answer
HELP Thank you
Answer:
[tex]\huge\boxed{\bf\:2 (-a - 6)}[/tex]
Step-by-step explanation:
[tex]6a - 4(2a + 3)\\6a - (4*2a + 4*3)\\6a - (8a + 12)\\6a - 8a - 12\\- 2a - 12\\\boxed{\bf\:2 (-a - 6)}[/tex]
Steps:
Factorise the second term as the first is already in its simplified form.Solve the first term and the second term by doing the required arithmetic operations.Take the common factor out.The result will be : 2 (- a - 6).[tex]\rule{150pt}{2pt}[/tex]
Answer:
[tex]\Longrightarrow: \boxed{\sf{-2a-12}}[/tex]
Step-by-step explanation:
Use the distributive property.
[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}\\\\\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
6a-4(2a+3)First, multiply by expand.
⇒ -4(2a+3)
⇒ -4*2a=-8a
⇒ -4*3=-12
⇒ -8a-12
→ 6a-8a-12
Solve.
Add or subtract the numbers from left to right.
⇒ 6a-8a=-2a
= -2a-12
[tex]\Longrightarrow: \boxed{\sf{-2a-12}}[/tex]
Therefore, the correct answer is -2a-12.I hope this helps! Let me know if you have any questions.
The solid below is dilated by a scale factor of 5. Find the surface area of the solid
created upon
dilation.
W = 3
L = 6
H= 3
Considering the dilation, the surface area of the rectangular prism is of 0.432 units².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of dimensions l, w and h is given by:
Sa = lwh.
In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:
w = h = 0.6, l = 1.2.
Hence the surface area of the prism will be of:
Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².
More can be learned about the surface area of a rectangular prism https://brainly.com/question/21208177
The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The solid below is dilated by a scale factor of 5. Hence:
New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15
Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²
The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²
Find out more on equation at: https://brainly.com/question/2972832
Graph: f(x) = 1/2 (2)x
Answer:
11
Step-by-step explanation:
Cancel out 22 and 22.
\frac{\mathrm{d}}{\mathrm{d}x}(x)
dx
d
(x)
The derivative of ax^{n}ax
n
is nax^{n-1}nax
n−1
.
x^{1-1}x
1−1Subtract 11 from 11For any term tt except 00, t^{0}=1t
0
=1.
PLease help me i will give brainliest
The quotient of (x5 – 3x3 – 3x2 – 10x 15) and (x2 – 5) is a polynomial. what is the quotient? x5 – 3x3 – 2x2 – 10x 10 x7 – 8x5 – 3x4 5x3 30x2 50x – 75 x3 2x – 3 x5 – 3x3 – 4x2 – 10x 20
The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a (x^5-3x -3 - 24x/(x²-5)) polynomial.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.
(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5
p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)
= x^5 -3x - 3 - 24x/(x² - 5)
x^5 3x³ + 15x
x^5 - 3x² - 24x + 15
x^5 - 3x² + 15
0 - 24x + 0
Learn more about quotient ;
https://brainly.com/question/1498111
Answer: C
Step-by-step explanation:
Which agency is responsible for promoting the welfare and opportunities of wage earners? a. fda b. hud c. dol d. cpsc please select the best answer from the choices provided a b c d
Answer:
the answer is (C) DOL
Step-by-step explanation:
What graph represents -14x -7y <4
Answer:
-14x-7y < 4
There is no equals sign so we know that is must be a dotted line
Add 14x to each side
-7y < 14x+4
Divide by -7, remembering to flip the inequality
-7y/-7 > 14/-7 x+4/-7
y > -2x -4/7
Y is greater so we shade above.
please solve the Magic Square I will mark you as brainliast please
[tex]\begin{bmatrix}\frac{1}{6} & \frac{1}{2} & \frac{1}{3} \\ \\ \frac{3}{6}& \frac{2}{6} & \frac{1}{6} \\ \\ \frac{1}{3} & \frac{4}{24} & \frac{1}{2} \\ \end{bmatrix} [/tex]
Explanation:
The magic square is a n×n square which contains different number and sum of all the number of any row or column gives same value.
in any magic square the sum values of all row or column is three time of the number in centre of the square.
in above magic square the middle number is 2/6
so we can calculate the final value by multiplying with 3,
[tex] \frac{2}{6} \times 3 = \frac{2}{ \cancel6}_2 \times \cancel3 = \cancel{\frac{2}{2}} = 1[/tex]
The magic number or sum of any row or column is 1,
using this we can find the missing,
in column first,
1/6 and 1/3 are given and middle term is missing
let the middle term be x now,
[tex]x + \frac{1}{6} + \frac{1}{3} = 1 \\ x = 1 - \frac{1}{6} - \frac{1}{3} \\ x = 1 - ( \frac{3 + 6}{18}) \\ x = 1 - \frac{9}{18} \\ x = \frac{18 - 9}{18} \\ x = \cancel \frac{9}{18} = \frac{1}{2} [/tex]
similarly we can solve for the 3rd fraction of second column,
let the third number be y,
[tex] \frac{3}{ 6} + \frac{2}{6} + y = 1 \\ y = 1 - \frac{3}{ 6} - \frac{2}{6} \\ y = 1 - \frac{5}{6} = \frac{1}{6} [/tex]
Now in first and third row, the third number is missing which can be calculated in same way.
The rough work and final calculation is attached!
Thanks for joining brainly community!
The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the
variable t to represent the temperature. Which expression should Yuri write?A: t > -3 B: t > 3 C: t < -3 D: t < 3
Answer:
answer a
Step-by-step explanation:
thats rlly the only one that makes sense to me, i really hope this will help <3
The expression that Yuri should write will be t < -3. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The temperature on a winter day was less than –3 degrees Fahrenheit.
Yuri wants to write an inequality for the temperature on the winter day.
Yuri uses the variable t to represent the temperature.
The sign used for less than is " < ".
t < -3
The expression that Yuri should write will be t < -3.
Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Which statement best describes the value of 18 ?
A. The value of 18 is between 2 and 2.5.
B. The value of 18 is between 2.5 and 3.
C. The value of 18 is between 3 and 3.5.
D. The value of 8 is between 3.5 and 4.
Answer:
B. The value of [tex]\sqrt{8}[/tex] is between 2.5 and 3.
Step-by-step explanation:
The square root of 8 is 2.83
The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.
What is the P(cheese | wheat) ? Show all work to receive full credit.
Answer:
The number of times people got cheese and wheat is 1200
Step-by-step explanation:
Hope this helps! Have a good day! :)
Answer:
[tex]\sf \dfrac{12}{19}[/tex]
Step-by-step explanation:
To begin, add the column and row totals to the table (see attachment).
Let W = Wheat
Let C = With cheese
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(W)=\dfrac{1900}{3125}=\dfrac{76}{125}[/tex]
[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]
[tex]\implies \sf P(W \cap C)=\dfrac{1200}{3125}=\dfrac{48}{125}[/tex]
As the events W and C are not independent, we can use the formula:
[tex]\sf P(C\: | \:W)=\dfrac{P(W \cap C)}{P(W)}[/tex]
Substituting the values into the formula:
[tex]\sf P(C\: | \:W)=\dfrac{\frac{48}{125}}{\frac{76}{125}}=\dfrac{48}{76}=\dfrac{12}{19}[/tex]
the perimeter of a room is pm and height hm write the formula to calculate the area of four walls
Answer:
Volume of Cube = length cube
Total surface area=2(lb+lh+bh)
Volume of Cuboid=l×b×h
I think it will help you.
The first number in a pattern is 84. The pattern follows the rule divide by 2 then add 10. Find the next three terms and then describe the pattern.
Answer: 52 , 36 , 28
I goygot these numbers by following the rule . Each time you divide by 2 so u get the half and then add 10 . I see the numbers are even and they are decreasing so they are getting smaller . Hope it helps
What is the volume of a moving crate with a length of 3 feet, a width of 2 feet, and a height of 5 feet?
Answer:
30ft³
Step-by-step explanation:
asuming it has the shape of a rectangular prism
formula would be
V=whl
step 1 swap the numbers
V= (2)(5)(3)
step 2 multiply
V= 30
step 3 add the labels
V=30ft³
What is
5d- 1 = -11
Can I get a breakdown on the answer please
Answer: d=-2
Step-by-step explanation:
As we know the order of operations are
1) Parenthesis/Brackets
2) Exponents
3) Multiplication/Division
4) Addition/Subtraction
However, when you solve equations you must do the order of operations backwards
So start by adding 1 to both sides because whatever you do to one side of the equation you must do to the other side
[tex]5d-1=-11\\5d-1+1=-11+1\\5d=-10[/tex]
Now divide both sides by 5 to isolate d
[tex]5d=-10\\\frac{5d}{5} =\frac{-10}{5} \\d=-2[/tex]
What is the lateral area of the cone?
Answer:
54.96
Step-by-step explanation:
Using the formulas
AL=πrl
l=r2+h2
Solving for AL
AL=πrh2+r2=π·3·52+32≈54.95543
What is the value of x in (7x + 2)
Answer:
x = 9
Step-by-step explanation:
(7x + 2)
7x can't be added with 2 because 2 has no x
therefor ,
we take x out
X ( 7 + 2 )
so
X = 9
warning :
sory if the answer is wrong
100 POINTS BRSAINLIEST ASAP 2 MINUTES LEFT
Answer: 12
Step-by-step explanation:
[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]
[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]
[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]
[tex]\begin{pmatrix}11&13&14&12\\ 1&2&2&3\end{pmatrix}[/tex]
[tex]\mathrm{The\:most\:common\:element\:in\:the\:list\:is\:12}[/tex]
Answer:
I'm sure It's 12
Step-by-step explanation:
To find the mode, order the numbers lowest to highest and see which number appears the most often.
11, 12, 12, 12, 13, 13, 14, 14
11=1
12=3 is the most common element
13=2
14=2
Rebecca bought 6 boys' bicycles and 8 girls' bicycles. If it takes her 22 minutes to unpack and assemble each one, how long will it be before they are all assembled?
Answer:
308 minutes or 5 hours and 8 minutes
Step-by-step explanation:
First, let's add the bicycles of both boys and girls together:
6 + 8 = 14
Now, let's multiply that number by 22 since she will have to assemble all of those bicycles and it will take 22 minutes for each:
22 x 14 = 308
It will take a total of 308 minutes or 5 hours and 8 minutes to assemble all of those bicycles.
Propane is stored in a cylindrical tank with a diameter of 15 inches and a height of 48 inches. Which equation could be used to determine the radius of a spherical tank with the same volume?
Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
[tex]r = \sqrt[3]{2025} [/tex]
which would be 12.65148998... in.
I NEED HELP FAST PLEASE HELP ME
Select the correct answer.
Which stem and leaf plot represents the given data set?
57,28,15,20,21,13,36
42,14,52,15,29,29,13,57
Consider the quadratic function.
f(p) = p2 – 8p – 5
What are the values of the coefficients and the constant in the functio
The values of the coefficients and constant are 1, -8 and -5
Standard quadratic equation
The standard quadratic expression is given as:
y = ax^2 + bx + c
where a, b and c are the constant
Given the quadratic function f(p) = p2 – 8p – 5, on comparing:
a = 1
b = -8
c = -5
Hence the values of the coefficients and constant are 1, -8 and -5
Learn more on quadratic functions here: brainly.com/question/1214333
A triangle has one side that measures 9 units, another side that measures x, and a third side that measures 2 units more than x. The perimeter is 29 units.
Which equation would we use to find the value of x?
Answer:
9 + x + x + 2 = 29
Step-by-step explanation:
all of the sides added together is 29
so
9 + x + x + 2 = 29
that is your equation
The graph below shows a linear function and an exponential function.
What is the minimum y-value after which the exponential function will always be greater than the linear function?
y = 1
y = 3
y = 4
y = 5
Answer:
4
Step-by-step explanation:
To sew a pair of jeans, 630 feet of thread is needed. Unfortunately the fabric store only sells thread in yards. How many yards of fabric would you need to buy from the store to make a pair of jeans?
Answer:
210
Step-by-step explanation
One yard is equal to 3 feet so the simplest way is to divide the number of feet by 3 and that will give you your answer.
Answer:
210
Step-by-step explanation:
The wavelength of a sound wave in this room is 4. 13 m and the frequency is 75 Hz. What is the speed of the wave in the room?
if you double the frequency of the sound wave but keep the wavelength the same, determine the new speed of the wave.
Answer:
[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]
How much did David earn if he earns $5.60 per hour and works 36 hours?
Answer:
$201.6
Step-by-step explanation:
5.60 multiplied by 36 is 201.6
Answer:
$201.60
Step-by-step explanation:
5.6 times 36 = 201.6