Answers
Answer:
(47,16)
Step-by-step explanation:
System of Equations Problem.
Solve v(7)+b(6)=394;v(3)+b(12)=612
Solve 6b+7v=394 for b
Add -7v to both sides.
6b+7v+−7v=394+−7v
6b=−7v+394
Divide both sides by 6.
[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]
Substitute [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex] for b in 12b+3v=612
12b+3v=612
[tex]12(\frac{-7}{6} v+\frac{197}{3} )+3v=612[/tex]
Simplify both sides of the equation.
−11v+788=612
Add -788 to both sides.
−11v+788+−788=612+−788
−11v=−176
[tex]\frac{-11v}{-11} =\frac{-176}{-11}[/tex]
v=16
Substitute 16 for v in [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]
[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]
[tex]b=\frac{-7}{6}(16)+\frac{197}{3}[/tex]
Simplify both sides of the equation.
b=47
Answer:
b=47 and v=16
Related Questions
pls answer thank you
Answers
9514 1404 393
Answer:
484 cm³
Step-by-step explanation:
The formula for the volume of a pyramid is ...
V = 1/3Bh
where B is the base area and h is the height.
Here, the base is a square 11 cm on a side, so its area is ...
B = s² = (11 cm)² = 121 cm²
Then the volume of the pyramid is ...
V = 1/3(121 cm²)(12 cm) = 484 cm³
Answer this please, I need help.
Answers
The amount of sales is 7500$
HELP ILL GIVE BRAINLIEST
Answers
Answer:
1
Step-by-step explanation:
So what is slope?
Slope is the change in y over the change in x.
You find the change in y and x when you compare two points on the line.
In this case, lets chose the two points they give us:
(1, -4) and (6, 1)
What is the difference of y? That looks like 5(1+4) or (1--4).
What is the difference of x? That looks like 5(6-1=5)
So we can tell the slope is y/x, or 5/5.
This can simpfly to 1.
So 1 is your slope!
Willl give 100 points!!
Find the exact value of sine, cosine and tangent.
Answers
Answer:
Step-by-step explanation:
c i think
Find each missing measure.
Answers
Answer:
Each angle is 60 degrees
Step-by-step explanation:
The sides of the triangle are equal, which means the angles are equal. Since the sum of the interior angles of a triangle are 180 degrees, each angle is 180/3 = 60 degrees.
which shows the numbers in order from least to greatest?
3.93,3.51,3.72,3.19
Answers
3.19,3.51,3.72,3.93
Step-by-step explanation:
3.19=3.2
3.51=3.5
3.72=3.7
3.93=3.9
you take over the number kn the tenth .... if its 1 234 you round down and if its 5 or more you round up... simple
What are the solutions of the equation (x – 8)2 = 144?
Enter your answer as the correct values, separated by a comma, like this: 42,53
If your answer includes a fraction, use the / symbol.
enter it like this: 3/14
Answers
[tex]x = 80[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]
[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.
Calculate : the angle subtended at the centre by the minor arc.
Answers
Complete question:
A wheel of radius 10 cm is turning at a rate of 5 revolutions per minute.
Calculate the angle subtended at the centre by the minor arc after 1 second.
Answer:
the angle subtended at the centre by the minor arc is 30⁰
Step-by-step explanation:
Given;
radius of the wheel, r = 10 cm = 0.1 m
angular speed of the when, ω = 5 rev/min
duration of the motion, t = 1 second
Determine the angular speed in radian per second,
[tex]\omega = 5\ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \ \times \frac{1 \min}{60 \ s} = \frac{10\pi \ rad}{60 \ s} = \frac{\pi }{6} rad/s[/tex]
After 1 second, the angular distance turned by the wheel is calculated as;
[tex]\theta = \omega t\\\\\theta = \frac{\pi \ rad} {6 \ s} \times 1 \ s\\\\\theta = \frac{\pi } {6 } \ rad\\\\in \ degrees; \theta = \frac{\pi \ rad}{6} \times \frac{180^0}{\pi \ rad} = \frac{180^0}{6} = 30^0[/tex]
Therefore, the angle subtended at the centre by the minor arc is 30⁰
Simplify. Assume t is greater than or equal to zero.
45t2
Answers
t is greater than
Step-by-step explanation:
make me brainlist
5 and 1/7 * 8
HELP ME PLZ
Answers
Answer:
41 1/7
Step-by-step explanation:
5 1/7 x 8
Convert 5 1/7 to improper fraction
5 1/7 = 36/7
Multiply.
36 x 8
---- --
7 x 1
288/7
Simplify.
41 1/7
---
hope it helps
what percentage of discount should be in a watch costing Rs 270 Such that a custumer can by Rs 243 ?
Answers
Answer:
10 percentage is the ans
Step-by-step explanation:
see the pic there is full step
Greatest common factor of 54,72
Answers
hope this helps !!
What is the size of the blue angle, and what do we call an angle with these measurements?
Answers
Answers:
The blue angle is 135 degrees
The angle is obtuse
==========================================
Explanation:
Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.
Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135
Either way, you should get to 135 degrees as the angle value.
-------------
The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.
Determine the scale factor.
A
6
-4
3
B
А
B
1
2.
0
8 9 X
3 4 5 6
с
D
-2
D'
C'
Your answer
Answers
Answer:
3 or 1/3 depending on going from small to large, or from large to small
Step-by-step explanation:
the same scale factor applies to all sides of the transformed shape.
when going from small to large, every unit of side length turns into 3 units.
when going from large to small, every 3 units of side length turn into 1 unit.
Sammy has 21 books on his shelf. Two-thirds of the books are mysteries. How many books are mysteries?
Answers
Answer:
14 books my good sir
Step-by-step explanation:
The image shows a circle with center (4,6) and radius 10 units.
Answers
Help me please I need to ge tthis done so can get an a
Answers
Answer:
n>- 5/14
Step-by-step explanat
If f(y) = 8 + e-9y, find f'(y). Use exact values.
Answers
Answer:
[tex]f'(y) = -9e^{-9y}[/tex]
Step-by-step explanation:
The given function is :
[tex]f(y) = 8 + e^{-9y}[/tex]
We need to find the value of f'(y).
[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]
[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]
So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].
If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
Answers
Match the word with the definition.
Answers
Step-by-step explanation:
practical range = 8
vertical line test = 5
range = 3
domain = 2
relation = 1
function = 4
function Notation =6
practical domain=7
find the value of x that makes m ll n.
Answers
Answer:
11. x = 6
12. x = 7
Step-by-step explanation:
11.
16x - 6 = 90
16x = 96
x = 6
12.
12x - 4 = 10x + 10
2x = 14
x = 7
Please helppppp!!!!! asapppppppppppppp
Answers
Answer:
option C both
Step-by-step explanation:
13x - 42 = 18 -7x
13x + 7x -42 = 18
20x - 42 = 18 ------------joey
13x - 42 = 18 - 7x
13x = 18 +42 -7x
13x = 60 -7x ---------nolan
Find the surface area of the rectangular prism
2km
4km
6km
Answers
Answer:
88km is your answer
Step-by-step explanation:
brainlest pls
Solve the espresso on for a=12, b=6 and c=3
Look at the picture ! Will give Brainly
Answers
Answer:
Step-by-step explanation:
bc²-2a/b=6(3)²-2×12/6=54-4=50
Classify the triangle by its angle measures.
Answers
Answer:
d) Acute
Step-by-step explanation:
if all three angle measures are less than 90 degrees, the triangle is acute
Which set Doesnt describe a function??
Answers
Answer:
set c is the answer
Step-by-step explanation:
for a pair to be a function it can't have 2 different numbers for the same x value
STION 6*
What is the value of x, if x = 32?
Answers
Answer:
32 is the value
Step-by-step explanation:
A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:15
Answers
Answer:
[tex]Ratio = 2 : 15[/tex]
Step-by-step explanation:
Given
[tex]k = 2 : 15[/tex] --- scale factor
Required [missing from the question]:
The ratio of width of the model to the original
From the question, we understand that the scale factor is: 2 : 15
The ratio of the width of the model to the original equals the given scale factor i.e.
[tex]Ratio = 2 : 15[/tex]
The measure of angle 1 is 39 degrees. What is the measure of the angle adjacent to angle
1?
Answers
Answer:
51
Step-by-step explanation:
90-39 = 51
23 more than jenny’s score is 52 use the variable j to represent her score
Answers
finish the question
Step-by-step explanation:
Answer:
j+23=52
Step-by-step explanation: