Answer:
(1, 3)
Step-by-step explanation:
x - 3y = -8
3x + y = 6
Isolate a variable in one of the equations:
y = 6 - 3x
Substitute the value of y into the other equation:
x - 3(6 - 3x) = -8
Use distributive property:
x - 18 + 9x = -8
Combine like terms:
10x - 18 = -8
Isolate the variable:
10x = 10
x = 1
Substitute the value of x into any equation:
3(1) + y = 6
3 + y = 6
Isolate the variable:
y = 3
please help in this one
Answer: [tex]49.79\ m[/tex]
Step-by-step explanation:
Given
The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]
It is melted to form a solid cube
Suppose the edge length of the cube is [tex]a[/tex]
The volume of the sphere is [tex]\frac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]
What is the average velocity of the acrobat between 0.25 seconds and 0.5 seconds?
Divide the difference of the heights by the difference of the times.
Bettween 09 00 and 10 30, a man walks a distance of 27 km. What is his average speed in km/h?
Answer:
18
Step-by-step explanation:
9 to 10:30 = 1.5 hour
27/1.5= 18
HELP ASAP PLEASE AND THANK YOU
Answer:
j+278=296
Step-by-step explanation:
that is the equation because the total is the sum of j and 278 is equal to 296
A prism has a length of 14 inches, width of 8 inches, and height of h.
A shipping company says the box can hold a volume of 672 cubic inches. The base of the box measures 14 inches by 8 inches.
What is the height of the box?
inches
Answer:
6 inches.
Step-by-step explanation:
V = L * W * H
L = 14
W = 8
V = 672
h = ?
Solution
672 = 14 * 8 * h
672 = 112 * h
h = 672 / 112
h = 6 inches
Answer:
6 inches, i took the assignment
Step-by-step explanation:
y is inversely proportional to x. when x=3,y=8. work out the value of y when x=8
Answer:
y = 3
Step-by-step explanation:
given y is inversely proportional to x then the equation relating them is
y = k/× ← k is the constant of variation
To find k use the condition y = 8 when x = 3
k = yx = 8 × 3 = 24
y = 24/× ← equation of variation
When x = 8, then
y = 24/8= 3
Please help!! The answer options are 12/35, 12/37, 37/12, 35/37 Which one is it??
Answer:
sin= opposite leg/hypotenuse
Sin(a)=12/37
Step-by-step explanation:
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest hundred.
Answer:
200
Step-by-step explanation:
If it is in front of 150 it then it would be considered 100.
Your business has two branch stores. The recent physical inventory reports that the merchandise value for each store is: Store A $750,000, and Store B $580,000. The merchandise book value for each store is: Store A $757,000, and Store B $600,000. What is the dollar amount of shrinkage for each store?
Answer: Store A: 7,000 Store B: 20,000
Step-by-step explanation:
The amount of shrinkage for store A is $7000 and for store B is $20000.
What is loss?"If the selling price of an item is less than the cost price, then the difference between the cost price and the selling price of an item is called the loss".
For the given situation,
The merchandise book value for store A = $757,000
The merchandise book value for store B = $600,000
Based on physical inventory reports,
The merchandise value for store A = $750,000
The merchandise value for store B = $580,000.
The amount of shrinkage determines the loss and it is calculated by taking the difference between the values.
Store A = [tex]757000-750000[/tex]
⇒ [tex]7000[/tex]
Sore B = [tex]600,000-580000[/tex]
⇒ [tex]20000[/tex]
Hence we can conclude that the amount of shrinkage for store A is $7000 and for store B is $20000.
Learn know more about a loss here
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Solve. You may use a calculator and round your answer to the nearest tenth of a unit if necessary.
A ball is dropped from a height of 900 centimeters. the table shows the height of each bounce. The
heights form a geometric sequence. How high does the ball bounce on the 5th bounce?
bounce 1 is 800 cm
bounce 2 is 560 cm
bounce 3 is 392 cm
192 cm
Step-by-step explanation:
Each bounce is 70% of the previous bounce so the fourth bounce is going to be 274 cm and the fifth is going to be 192 cm.
Determine the slope and y-intercept for the given equation: Y - 3/2x = 3
Please help this is my last math test of the year I really wanna do well!
Answer:
it's one of the 2 in the middle
Step-by-step explanation:
I did it before
K=1/2mv square root of 2
rearrange for m:
Answer: V = The square root of (2K/M)
We are starting with the formula: K = 0.5MV^2
Our first steps to isolate V would be to multiply by 2 and divide by M on both sides of the equation.
2K/M = V^2
Now, we just have to take the square root of both sides of the equation
The equation rearranged for m is [tex]m = (2K) / v^2[/tex].
This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.
To rearrange the equation [tex]K = (1/2)mv^2[/tex] for m, we can follow these steps:
Step 1: Multiply both sides of the equation by 2 to remove the fraction:
[tex]2K = mv^2[/tex]
Step 2: Divide both sides of the equation by[tex]v^2[/tex] to isolate m:
[tex](2K) / v^2 = m[/tex]
Therefore, the equation rearranged for m is [tex]m = (2K) / v^2[/tex].
This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.
Learn more about rearranging equations here:
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in a school the ratio of the number of pupils to the school of teachers is 20 ;1 if the number of pupils is 840 how many teachers are there?
Answer:
42
Step-by-step explanation:
[840/20]*1=42
Answer:
the correct answer is that the will be 42 teachers
Step-by-step explanation:
1/20x840
=42
use the pythagorean theorem or trig to find the length of the missing side, the hypotenuse.
Answer:
You use the Pytha. theorem to find the length of the missing side or the hypotenuse
Step-by-step explanation:
a^2 + b^2 = c^2
c^2 = the hypotenuse
Answer:
17
Step-by-step explanation:
Use the Pythagorean theorem to solve the problem.
The Pythagorean theorem states A^2 + B^2 = C^2
So, 15^2 (225) + 8^2 (64) = 289
Take the square root of 289. which is 17.
Hope this helps!
Evaluate.
7!
——
5!2!
A)1
B)21
C)42
Step-by-step explanation:
this is your answerthank you ☺️Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.
Answer:
(D)
Use the law of sines:
13 / sin x = 12 / sin 67°sin x = 13 sin 67° / 12sin x = 0.997x = arcsin (0.997)x = 85.6°(E)
Find the third angle:
180° - (48° + 61°) = 71°Use the las of sines:
x / sin 61° = 21 / sin 71°x = 21 sin 61° / sin 71°x = 19.4 cmFind the number of possible choices for 4 sandwiches, 3 drinks, and 2 desserts
Answer:
sandwiches n[S]=4
drinksn[D]=3
desserts[d]=2
total n[T]=9
number of possible choices for:
4 sandwiches=n[S]/n[T]=4/9
For
3 drinks=n[D]/n[T]=3/9=1/3
and
For 2 desserts=n[d]/n[T]=2/9
please help
and if you cant see its going from 1-9
Answer:
F
Step-by-step explanation:
for example point A is (3:6)
if we multiply the coordinates by 2/3 we have:
A1 (2; 4) that are the coordinate of the new point
Kai has been saving up money to buy a new backpack that is originally priced at $88.95. The store is having a 40% off end-of-season sale but Kai has only $55 saved up so far. Do you think he can buy the backpack? (Don't worry about sales tax in this problem.)
yes or no?
Answer:
53.47
Step-by-step explanation:
yes, he can buy the backpack
88.95 x 0.40 = $35.48
88.95 minus 35.48 = 53.47
Answer:
Step-by-step explanation:
88.95 X (100%-40% = 60%) = 53.37
Since $55 > 53.37, Kai has enough money to buy a new backpack.
The initial velocity of a rocket shot straight up is 30 feet/second. The height of the rocket after t seconds is represented by the equation d = 30 t − 5 t 2 . Find the maximum height of the rocket and the amount of time in the air.
AnswerIts null
Step-by-step explanation:
bank
the height and base of parallelogeam is 20cm and 15.3cm respectively . find the area of a paralellogram
Answer:
Step-by-step explanation:
A = bh
A = 20 * 15.3 = 306 cm^2
Boris's cat will be having four kittens. Boris performs a
simulation by tossing a coin to model whether these
kittens will be male or female.
• Let heads (H) = female kitten
• Let tails (T) = male kitten
The results of the simulation are:
1. THTT
6. THHT
2. THHT
7. HTHH
3. HHHH 8. TTTT
4. HTTT
9. TTHT
5. TTHH
10. HTHT
What is the estimated probability that at least three of the kittens will be
male?
60%
A.
B.
40%
10
C.
8
10
80%
D. io = 20%
Answer:
40% or 4/10
Step-by-step explanation:
Answer:
its 40%
Step-by-step explanation:
A.P.E.X.
Can I get some help with this please.
The table models how the population of a city has changed over time. What does the y-intercept represent?
Answer:
In the table model, the y-intercept represents the population of the city in 1985, which is 122,000.
Answer:
The y intercept represents the population of the city in the year of 1985.
Step-by-step explanation:
Since it is 0 years after 1985, it means that the population was 122,000 in 1985.
find the degree measure of each angle in the triangle
Answer:
∠R = 56° ∠Q = 90° ∠S = 34°Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
90° (2x + 38)° (5x - 11)°Solving according to angle sum property,
Sum of all angles in a triangle is 180°
[tex]\longrightarrow[/tex] 90° + (2x + 38)° + (5x - 11)° = 180°
[tex]\longrightarrow[/tex] 117° + 7x = 180°
[tex]\longrightarrow[/tex] 7x = 180° - 117°
[tex]\longrightarrow[/tex] 7x = 63°
[tex]\longrightarrow[/tex] x = 9
Angles =
[tex]\longrightarrow[/tex] 2(9) + 38
[tex]\longrightarrow[/tex] 56°
[tex]\longrightarrow[/tex] 5(9) - 11
[tex]\longrightarrow[/tex] 34°
∠R = 56° ∠Q = 90° ∠S = 34°The angles are 56°, 90° and 34°.
What is the correct graph for the following algebraic inequality? x>-2
Graph A
Graph B
Graph C
Graph D
Answer:
Graph D
Step-by-step explanation:
< or > require a circle that is NOT shaded in so we can eliminate Graph B and Graph C
The arrow is >, and it is pointing this way--> so you shade in towards the right. Hope this helps!
A bag contains 36 marbles. 10 marbles are green, 6 marbles are blue, 18 marbles are yellow, and 2 marbles are purple.
What is the probability of selecting a green marble? Round all answers to the nearest hundredth.
Answer:
10/72 or 0.14
Step-by-step explanation:
There are 72 marbles in total and 10 of them are green. So, it is 10/72 or 1.388 rounded to the nearest hundredth is 0.14.
A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?
PLEASE NO LINKS,
Find the measurement in parallelogram.
Need help, please.
I also need explanation.
Answer:
21.) x = 0
23.) x = 0
Step-by-step explanation:
21.)
We know that Sides AD and BC are parallel to each other, so they are congruent as well, thus we can say:
x + 12 = 12
=> Now just subtract 12 on each side of "="
x = 0
23.)
We know that sides SV and TU are parallel which makes them congruent, hence;
12 + 2x = x + 12
=> First subtract x from each side,
12 + x = 12
=> Lastly subtract 12 on each side:
x = 0
Hope this helps!
Calculate the volume of a rectangular prism with the same base area and the same height as the pyramid above.
Explain30 Point
Answer:
Solution given:
length [l]=9
breadth [b]=4
height[h]=3
Now
area of base=l*b=9*4=36
Volume of rectangular
pyramid =⅓area of base*height
=⅓*36*3
=36 cubic unit is a required volume.
In 2006, 67.7 million people subscribed to cable television. In 2013, that number had decreased to 56.7 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Answer:
Because of low subscribers the amount will be decreased if you do not make video . So in 2007 the subscribers will be incresed . 67.8 million people took risk of this think. hopw it helps.
Step-by-step explanation: