Answers
5a+6c=106
9a+12c=201
10a+12c=212
-a=-11
a=11
33+4c=67
4c=34
c=8.5
A=11; C=8.5
Related Questions
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answers
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answers
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable
Answers
Answer:
See belowStep-by-step explanation:
Solution
2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8Order of operations
= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variableHELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
Answers
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3Please use system of linear equations by elimination OR substitution. I need the work as well please.
Answers
1) P= 64 cm, width = x, length = 14 + x
64 = x + x + 14 + x + 14 + x
64 = 4x + 28
4x = 64 - 28
4x = 36
x = 36/ 4
x = 9
AREA = 9 x (9+14)
Area = 9 x 23
Area = 207 cm
2) smaller no. = y, bigger no. = x
x - y = 3
2x+1/2y=36
Next, multiply 2 to first equation and find y:
2x-2y=6
5/2y=30
y = 12
Substitue y to x-y=3 to find x,
x = 15
3) x = pencil, y = pen
5x + 4y = $6.15
8x + 3y = 9.85$
8x + 7y = ?
5x + 4y = 6.15$ multiply both sides by -3
8x + 3y = 9.85$ multiply both sides by 4
-15x + 32x = (-3)*6.15 + 4*9.85
7x = 19.87 multiply both sides by 8/7
8x = (8/7) x 19.87
Add both equations:
32y - 15y = 8x6.15 - 5*9.58
17y = 1.3
y = 91/17) x 1.3
7y = (7/17)x 1.3
8x + 7y = (8/7) x 19.87 + (7/17) x 1.3
8x + 7y = $23.244
4) 2l + 2w = 0
2 x 2l + 2 x 1/2w = 40 + 16
l+w = 20
4l+w = 56
I’ve got l = 12 and w = 8
5) answer: 28.56 feet (approx)
step-by-step explanation:
since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.
we have to find out the measurement of segment ab.
therefore, tan 55° = \frac{ab}{bc}
but bc = 20 feet.
⇒ tan 55 ° = \frac{ab}{20}
⇒ ab = 20 × tan 55 °
⇒ ab = 20 × 1.42814800674
⇒ ab = 28.5629601348 ≈ 28.56 feet
6) The answer is teh attachment !
7) 3x-x+2=4
HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!
What is the length of the missing leg?
Answers
Answer:
Hello! answer: 6
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10 so therefore a = 6 Hope that helps!
Write the function tan([tex]\frac{3\pi }{4} -x[/tex]) as an expression involving functions of x only
Answers
Step-by-step explanation:
[tex] \tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)} [/tex]
Since tan(3pi/4) = -1
[tex] \tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)} [/tex]
[tex] = \frac{ \tan(x) + 1}{ \tan(x) - 1} [/tex]
The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.
Answers
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch
The length of the hypotenuse in a right triangle is 12 inches.
What is the Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.
Let the length of the hypotenuse be x.
Here, x²=8²+9²
x²=64+81
x²=145
x=√145
x=12.04
x≈12 inches
Therefore, the length of the hypotenuse is 12 inches.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ6
Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property
Answers
This is the transitive property :)
need help in this question
Answers
Answer:
B) 9
Step-by-step explanation:
110 + 75 + 11x - 9 + 8x + 13 = 360
19x + 189 = 360
19x (+ 189 - 189) = 360 - 189
19x = 171
19x/19 = 171/19
x = 9
What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer: 394.6 m^3
Step-by-step explanation:
-
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answers
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay
Answers
Answer:
His overtime pay is of $84.00.
Step-by-step explanation:
He is paid double time for overtime.
Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.
Worked 6 hours overtime:
So his overtime pay is:
$14.00*6 = $84.00
His overtime pay is of $84.00.
Help!!! Whats x ive been struggling
Answers
Answer:
x = 2
Step-by-step explanation:
GIVEN :-
KJ = 3 unitsQR = 12 unitsJL = x unitsQS = x + 6 unitsTO FIND :-
The value of xSOLUTION :-
To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-
[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]
[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]
Cross multiply the denominators.[tex]=> 3(x + 6) = 12 \times x[/tex]
[tex]=> 3x + 18 = 12x[/tex]
Substract both the sides from 3.[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]
[tex]=> 9x = 18[/tex]
Divide both the sides by 9[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]
[tex]=> x = 2[/tex]
what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall
Answers
Answer by Fombitz(32379) (Show Source): You can put this solution on YOUR website!
From one corner to the furthest corner,
L%5E2=14%5E2%2B13%5E2%2B12%5E2
L%5E2=196%2B169%2B144
L%5E2=509
L=sqrt%28509%29
A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answers
Answer: 6.8 inches
Step-by-step explanation:
Linda performed a computation using her calculator. The display on her calculator showed the answer as 6.1 E -4. Which numbers are equivalent to the number displayed in Linda’s calculator? Select all that apply.
Answers
Answer:c and f
Step-by-step explanation:
6.1E-4= 6.1 x 10^⁴ =0.00061
find the value of sin30/cos^(2)45 , tan^(2)60+3cos90+sin0
Answers
Answer:
according to me the ans is 3.
Please please help please
Answers
What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviation from the mean
Answers
Answer:
0.9821
Step-by-step explanation:
Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1
Hence, using :
P(Z < 2.1) = 0.9821 (standard normal table
= 0.9821
Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3
Answers
Answer:
x = 11 or x = -1
Step-by-step explanation:
(x-5)^2 = 36
(x-5) = 6 or (x-5)= -6
then x = 11 or x = -1
Answer:
Step 2
Step-by-step explanation:
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answers
Answer:
and the question is? I'm confused
1. what is the exact demical value of 225/16?
2. what is the exact decimal value of 77/12?
Answers
Answer:
14.0625 = [tex]\frac{225}{16}[/tex]
6.41666666666... = [tex]\frac{77}{12}[/tex]
Hope that this helps!
nadia made a model of the garage each edge of the real garbage is 4 times the length of the edge of the model which statement about volumes is true?
Answers
question in picture,
find all angles that satisfy the equation below.
Answers
What is the surface area of the composite solid?
A rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. A rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters.
Answers
Answer:
162 m^2
Step-by-step explanation:
Tops:
The area of the high top is 3*2 = 6
The area of the lower top is 5*2 = 10
--------
16
Bottom:
The area of the bottom is 8*2 =16
Back:
The area of the back is 2*11 = 22
Front:
The top front is 9*2 =18
The bottom front is 2*2 =4
-------------------------------------------
22
Sides
The area of the left side is
vertical piece 11*3 =33
horizontal piece 5*2 = 10
-------------
43
The right side is the same = 33+10 = 43
Add them together
top+bottom+ back+front+left+right
16+16+22+22+43+43 =162 m^2
Which equation is equivalent to -4(y-2)=12?
1. -4(y-2)=3
2. -4(y-2)=-3
3. y-2=12
4. y-2=3
5. y-2=-3
Please I’ll mark you brainliest if you answer
Answers
Answer:
–4(y–2)=12
y–2=12/–4
y–2=–3
The choose (5)
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answers
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
can someone please help with this and kinda explain this to me again please
Answers
Answer:
3rd Option;
x = 4
y = 116
Step-by-step explanation:
Let's start by solving for "x" first:
=> We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:
Side 1 = It's opposite side
=> 16 = 3x + 4
=> 16 - 4 = 3x
=> 12 = 3x
=> 12/3 = x
=> 4 = x
Now that we know x, let's find the y-value;
=> We know that opposite angles in a parallelogram are congruent, therefore we can say;
Angle 1 = It's opposite angle
=> 56 = y - 60
=> 56 + 60 = y
=> 116 = y
Hope this helps!
What is the area, in square units, of the shaded region? (nearest tenths place)
Answers
Answer:
169.6
Step-by-step explanation: