Answer:
x=4
y=3
Step-by-step explanation:
12X + 16y = 96--(1)
12X + 48y = 192---(2)
(2)-(1),
12x + 48y - (12x+ 16y)= 192- 96
12x + 48y - 12x - 16y = 96
32y = 96
y= 96÷32
y =3
substituting y=3 in (1),
12x +(16×3) = 96
12x + 48 = 96
12x = 96-48
12x = 48
x= 48÷12
x= 4
Hope this helps!
GIVING BRAINLEST TO WHOEVER ANSWERS FIRST!!!!!!!!!!!!
Which two methods can be used to solve the equation 5/7 n = 8 3/5 ?
Group of answer choices
Multiply both sides by 5/7 or divide both sides by 7/5.
Divide both sides by 5/7 or multiply both sides by 7/5.
Add 5/7 to both sides or subtract 7/5 from both sides.
Subtract 5/7 to both sides or add 7/5 to both sides.
Answer:
b. divide both sides by 5/7 or multiply both sides by 7/5
(3x+3)what is the measure
Answer:
I don't think you provided the whole question...
Step-by-step explanation:
What are the zeros of the graph shown? (SELECT ALL THAT APPLY.)
Answer:
(-2,0) and (2,0)
Step-by-step explanation:
These are the zeroes because they are the x-intercepts of the graph / they are the points where the line crosses the x-axis
Find the circumference r=14m
Answer:
There!!
Step-by-step explanation:
mark me brainliest!!
Answer:
88 m
Step-by-step explanation:
Given,
Radius ( r ) = 14
Formula : -
Circumference of circle = 2π4
Circumference of circle
= 2 x 22 / 7 x 14
= ( 2 x 22 x 14 ) / 7
[ 14 = 2 x 7 ]
= ( 2 x 22 x 2 x 7 ] / 7
= 2 x 22 x 2
= 88 m
Note : -
The value of π = 22 / 7.
point b is between A and C. if AB =2x, BC =3x+1, and AC=21, find the length of BC
Step-by-step explanation:
We are here given that a point B is between A and C . Also ,
Value of AB = 2x Value of BC = 3x + 1 Value of AC = 21 .And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,
[tex]\rm:\implies AC = AB + BC [/tex]
Substitute the respective values,
[tex]\rm:\implies 21 = 2x + 3x + 1[/tex]
Add like terms ,
[tex]\rm:\implies 21 = 5x +1 [/tex]
Subtract 1 on both sides,
[tex]\rm:\implies 21-1 = 5x [/tex]
Simplify,
[tex]\rm:\implies 20=5x [/tex]
Divide both sides by 5,
[tex]\rm:\implies \blue{ x = 4}[/tex]
Now consider ,
[tex]\rm:\implies BC = 3x+1 [/tex]
Plug in the value of x found above ,
[tex]\rm:\implies BC= 3(4)+1[/tex]
Simplify,
[tex]\rm:\implies BC = 12+1[/tex]
Add,
[tex]\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}[/tex]
And we are done !
Answer:
+ BC = AC
x + 2x+1 = 22
3x +1 = 22
3x = 21
x = 7
AB = 7
BC = 2*7+1 = 14 + 1 = 15
15 - 2
13
If the area of a triangle is 100 in^2, and the height is 10in, find the length of the base in inches.
Round to the nearest inch if applicable.
Answer:
Area of a triangle is 100 in²
Height of triangle is 10 in .
we have been asked to find the length of its base .
Formula Used to Find length of its base
☯[tex] \bf\: Area \: of \: triangle \: = \dfrac{1}{2} \times base \: \times height \: [/tex]
Put the given value we obtain
[tex] \rm \implies \: 100 = \dfrac{1}{2} \times base \: \times 10 \\ \\ \rm \implies \: 100 = \dfrac{1}{ \cancel2} \times base \: \times \cancel{10} \\ \\ \rm \implies \: 100 = base \: \times 5 \\ \\ \rm \implies \: base \: = \dfrac{100}{5} \\ \\ \rm \implies \: base \: = \cancel\dfrac{100}{5} \\ \\ \rm \implies \: base \: = 20 \: inch[/tex]
So, the length of its base is 20 inch .
The base length of the triangle with the given values of area and length of height to the nearest inch 20in.
What is a triangle?
A triangle is a two-dimensional shape with three edges and three vertices.
The area of a triangle is expressed as;
A = (1/2) × base × height
Given the data in the question;
Area of the triangle A = 100in²Length of Height = 10inLength of Base = ?We substitute our given values into the expression above.
A = (1/2) × base × height
100in² = (1/2) × Base × 10in
100in² = 0.5 × 10in × Base
100in² = 5in × Base
Base = 100in² / 5in
Base = 20in
Therefore, the base length of the triangle with the given values of area and length of height to the nearest inch 20in.
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Establish a relationship to determine the equivalent resistance R of a combination of three resistors having resistances R1, R2 and R3 connected in series. Calculate the equivalent resistance of the combination of three resistors of 2 Ω, 3 Ω and 6 Ω joined in parallel.
Answer:
Step-by-step explanation:
the resistors which connected in series
equivalent resistance = R1 +R2 + R
is the relationship between the resistors connected in series.
For parallel connection
R1 = 2ohm
R2 = 3ohm
R3 = 6ohm
for equivalent resistance (Rt)
1/Rt = 1/R1 + 1/R2 + 1/R3
1/Rt = 1/2 + 1/3 + 1/6
1/Rt = (3 + 2 + 1)/6 = 6/6 =1/1
Rt = 1 ohm
equivalent resistance = 1 ohm
2 less than or equal to x less than or equal to 6 1 less than or equal to y less than or equal to 5 x plus y less than or equal to 8 maximum for P = 3x + 2y
Answer: A) -10 ≤ x ≤ 10 , -10 ≤ y ≤ 10
Step-by-step explanation:
Three friends compare the balances in their checking accounts.
The balance in Al's account is $32.60.
The balance in Dee's account is 34 the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.What is the balance in Zac's account?
Answer:
34%
Step-by-step explanation
34% (I believe)
what is the sign of 46.2 + 112.3.
is it a positive or negative?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]
[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]
[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
An advertising executive wants to determine if a new billboard placed in a city caused sales of her product to increase. To do this, she selects random stores that sell the product on the billboard and compares the amount sold in one business cycle before the billboard was placed to the sales of one business cycle after. Suppose that data were collected for a random sample of 10 stores, where each difference is calculated by subtracting the number of units sold in thousands before the billboard was placed from the number of units sold in thousands after the billboard was placed. Assume that the numbers are normally distributed. The executive uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈6.537, which has 9 degrees of freedom, determine the range that contains the p-value.
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The correct option is the first and the last option
Step-by-step explanation:
From the question we are told that
The sample size is n = 10
The null hypothesis is [tex]H_o : \mu_d = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_d > 0[/tex]
The test statistics is [tex]t \approx 6.537[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(t > 6.537 )[/tex]
From z-table [tex]P(t > 6.537 ) = 0[/tex]
So
[tex]p-value = 0[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is equal to zero
Thus we conclude that
Based on the results of the hypothesis test, there is not enough evidence at the level of significance(0.05) to suggest that the true mean difference between the number of units sold after the billboard was placed and the number of units sold before the billboard was placed is greater than zero
Samantha has saved $40 towards buying a $125 electronic book reader. Starting this week, she plans to save an additional $15 each week.
Write and solve an inequality that can be used to find the minimum number of weeks, w, it will take Samantha to save for the book reader
125 = 40 + 15w
W = number of weeks
6 weeks is 125 = 40 + 15(16)
15(16) is 90 so 90 + 40 = 130
So the inequality would be w >= 6
To be more precise because 6 weeks is $130 and not $125, divide 85 (money still needed) by 15 to get the decimal 5.66…, so it would be w >= 5.66…
Which transformation of AB will produce a line segment A'B' that is parallel to AB?
Options:
Rotation of 180° about point B
Rotation of 90° about point b
Reflection over the x-axis
Translation down 2 units
Answer:
Rotation of 180° about point B
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e. [tex]B = (x,y)[/tex]
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex] --- origin
[tex](x_2,y_2) = (x,y)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{y - 0}{x - 0}[/tex]
[tex]m = \frac{y}{x}[/tex]
Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be
[tex]B' = (-x,-y)[/tex]
Taking the slope of B'
The slope of B is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex] --- origin
[tex](x_2,y_2) = (-x,-y)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-y - 0}{-x - 0}[/tex]
[tex]m = \frac{-y}{-x}[/tex]
[tex]m = \frac{y}{x}[/tex]
Notice that the slope of B and B' is the same;
[tex]m = \frac{y}{x}[/tex]
Hence:
Rotation of 180° about point B answers the question
There's no need to check for other options
Tony has a narrow piece of wood that is 40 inches long. He wants to make a frame for a picture. He wants to top and bottom to be 12 inches in length. How wide will be?
please help??? i’m not sure the answers or how to do this. greatly appreciated
1)
I think you should start off by solving the function equal to the given growth.
[tex]f(m) = 5.98[/tex]
[tex]3(1.09) {}^{m} = 5.98[/tex]
[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]
[tex]1.09 {}^{m} = 1.9933[/tex]
[tex]m \times ln(1.09) = ln(1.9933) [/tex]
[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]
It is sufficient to plot the exponential growth over the domain m [0,8]
2)
The y-intercept in this case represents the growth achieved at the beginning when m=0.
Before the experiment started::
3)
I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,
[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]
Note that c is the average rate of change.
Find f(2) first by substituting 2 in f(m)
f(2)=3(1.09)²=3.5643
[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]
[tex]c = \frac{2.4157}{6} = 0.4026[/tex]
average growth=0.4026 cm/month
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?
a Dan
b Joe
c Lee
d Roy
Answer:
c Lee
Step-by-step explanation:
The coordinates of the community center are both negative. They place it 2 units left and 3 units up from Lee's house in the 3rd quadrant.
If the function f(x) = 4* is translated up 6 and left 2, write the new function
Answer:
f(x+2)+6 = 4^(x+2)+6
Step-by-step explanation:
(The power is to the x+2) Hope this helps!:)
What is 2/3 - (-2/3)?
OA) -4/3
OB) 4/3
C) 0
OD) 2/3
Answer:
OB
-2 multiply by a -2 is a - 4 which is a numerator then
3 doesn't change cause it is a denomenator
thus your final answer is a -4/3
Enter the coordinates of the point
on the unit circle at the given angle.
240°
EXPLANATION:
To convert degrees to radians, multiply by π / 180 °
since a full circle is 360° or 2π radians.
240°⋅π / 180° radians
Cancel the common factor of 60
4 × π / 3 radians
Combine 4 and π / 3.
4π / 3 radians
HOPE ITS HELPS !!!!!
The coordinates of the points on unit circle at the given angle 240 degrees is[tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
The formula for calculating Radians is:
[tex]radians= (degrees)[/tex]×[tex]\frac{\pi }{180}[/tex]
Formula for calculating coordinates of point (x, y) on circle:x=rcosθ
y=rsinθ (where r is the radius of circle for unit circle r=1)
According to the question
we have
θ = 240 degrees and, r =1
so, 240 degrees = 240×[tex]\frac{\pi }{180}[/tex]
⇒240 degrees = [tex]\frac{4\pi }{3}[/tex] (in radians)
Therefore, the coordinates of the points on unit circle at angle [tex]\frac{4\pi }{3}[/tex] is calculated as
[tex]x=(1)cos\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]x=\frac{-1}{2}[/tex]
And,
[tex]y=(1)sin\frac{4\pi }{3}[/tex] (for unit circle r=1)
[tex]y=\frac{-\sqrt{3} }{2}[/tex]
Hence, the coordinates of the point on unit circle at angle 240 degrees is [tex](\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )[/tex]
Learn more about coordinates of the point on circle here:
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the ratio of prizes to contestants if there are 3 prizes for every 10 contestants
Answer: (3,10)??? this question isn't specific sorry
Step-by-step explanation:
Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9
Answer:
[tex]\frac{x+6}{x-1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator
= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator
= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
prove that (Cosx-Cos³x)/Sinx=SinxCosx
Answer:
(Cosx-Cos³x)/Sinx=SinxCosx
Step-by-step explanation:
sin3x−cos3x
=sinxsin2x−cosxcos2x
=sinx(1−cos2x)−cosx(1−sin2x)
=sinx−sinxcos2x−cosx+cosxsin2x
=sinx−cosx+(sinx−cosx)sinxcosx
=(sinx−cosx)(1+sinxcosx
2 1/8 x 2 3/5 simplified
Answer:
5 21/40
Step-by-step explanation:
easy maths
what is the probability and odd for 7/16
Answer:
What is the probability and odd for 7/16
There is a 30.43 percent of a particular outcome and 69.57 percent of another outcome.
The perimeter of rectangle is 36 the length is 3 more than two times the width
Answer:
The width of the rectangle is equal to 5 and the length is equal to 13
Step-by-step explanation:
Perimeter of rectangle = (Length + Width) ×2
Perimeter of rectangle = (13 + 5) ×2
Perimeter of rectangle = 36
The length of the rectangle is 13, which is 3 more than two times the width, if the width is 5
5 (Width) ×2 = 10
10 +3 = 13 (Length)
please answer this question
please help will mark BRAINLIEST
Answer:
A.)
-2, -1, 0, 1, 2, 3, 4, 5, 6
Step-by-step explanation:
mark me brainliest!!
How do I solve this? , (Find measurement of angles)
Answer:
105°
Step-by-step explanation:
FEG+EFG=FGN (Exterior angle of a triangle= 2 interior opposite angles)
FEG+35°=140°
FEG=140-35
FEG= 105
Find the values of x and y that make the quadrilateral a parallelogram.
Answer:
Parallelogram means opposite sides equal and parallel to each other
So
x=16y=9Done!
Simplify the expression.
(5+6i)+(-2+4i)
Answer: 3 + 10i
Step-by-step explanation:
Complex numbers follow the same rules that real numbers do when it comes to addition and subtraction. Removing the parenthesis we have:
[tex]5+6i-2+4i[/tex]
Combine the real parts, then combine the complex parts:
[tex]3+10i[/tex]