Solve each system by elimination 9x - 6y = -21 and -9x + 9y = 18
Answers
Answer:
X= -3, Y= -1
Step-by-step explanation:
= {x, y}
= {-1.-3}
X = -1
Y = -3
ExplainLook at the picture :)
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Related Questions
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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What is the net force if the forces are balanced? 0N,-5N,100J, 5N
Answers
When forces are balanced the sum of the net force is 0 N
What is net force?The total of all forces exerted on an object is known as the net force.
A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion.
When there are a lot of forces acting on a system, the term "net force" is employed.
When the net force is summed to zero then the forces are said to be balanced
Hence a zero net force is a balanced force and will result to 0 N
N is the short form of Newton which is the unit of force
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how many ft is equal to 1.66m
Answers
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
(9 × 23) × 23 =
please help me
Answers
Answer:
4761
Step-by-step explanation:
PEMDAS
pt 2 1-7, please help
Answers
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------------------
E = 1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\(2e = 2\)
Divide both sides by 2.
\(e = \frac{2}{2}\)
Divide 2 by 2 to get, you guessed it, 1!The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran? (Round to the nearest tenth)
Answers
Mai travels abοut 4.2 feet per secοnd faster than Kiran.
What is circumference?Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.
The circumference οf Kiran's ring is:
C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft
The circumference οf Mai's ring is:
C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft
Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.
The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:
V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s
And the speed οf Mai in feet per secοnd is:
V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s
The difference in their speeds is:
V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s
Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.
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x² – 14x - 49 = 0
solve the quadratic equation by using either a numeric or graphic approach
Answers
Answer:
\({x}^{2} - 14x - 49 = 0\)
\( {x}^{2} - (7 + 7)x - 49 = 0\)
\( {x}^{2} - 7x - 7x - 49 = 0\)
\(x(x - 7) + 7(x - 7) = 0\)
\((x - 7)(x + 7) = 0\)
NOW,
x-7=0
or,x=7
And,
x+7=0
or,x= -7
THEREFORE, x= 7, -7
hope it helps you,
make me brainliest plz
Answer:
the value of x= plus minus 7
hope it helps you
a. Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 53.3 degrees. Low Temperature ( ◦ F) 40 − 44 45 − 49 50 − 54 55 − 59 60 − 64 Frequency 1 4 11 6 2 The mean of the frequency distribution is ------- degrees. (Round to the nearest tenth as needed.) b. Find the standard deviation of the data summarized in the given frequency distribution.
Answers
Answer:
\(\bar x = 50.25\)
\(\sigma = 3.32\)
Step-by-step explanation:
Given
The sumarized data
Solving (a): The mean
First, we calculate the class mid-points (x); This is the mean of the class intervals.
For 40 - 44, x = (40 + 44)/2 = 42. This is applied to all other classes.
So:
x 42 47 52 57 62
f 1 4 11 6 2
The mean is:
\(\bar x = \frac{\sum fx}{\sum f}\)
\(\bar x = \frac{42 * 1 + 47 * 4 + 52 * 11 + 57 * 6 + 62 * 1}{1 + 4 + 11 + 6 + 2}\)
\(\bar x = \frac{1206}{24}\)
\(\bar x = 50.25\)
Compared to the actual mean (53.3), the computed mean is lower
Solving (b): The standard deviation
This is calculated using:
\(\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{\sum f}}\)
So, we have:
\(\sigma = \sqrt{\frac{(42 - 50.25)^2+(47-50.25)^2+(52-50.25)^2+(57-50.25)^2)+(62-50.25)^2}{24}}\)
\(\sigma = \sqrt{\frac{265.3125}{24}}\)
\(\sigma = \sqrt{11.055}\)
\(\sigma = 3.32\)
Give me the answers for a free brainly
Answers
Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !
Answers
Answer:
He saved $121
Step-by-step explanation:
All you have to do is divide $726/6 which gives you $121.
Hope this helps!
PLEASE HELP
5/8 + 3/4 / -2/3- 5/6.
Answers
Answer:
1 3/8 - -2/3 - 5/6. =
1 - 5/6 = 2/8
Step-by-step explanation:
answer = 2/8/ 1/32 = 2 1/16
Find the surface area. Leave your answers in terms of T.9 mi
Answers
Given:
The shape is
Find-:
The surface area of the cylinder
Explanation-:
The surface area of the cylinder
\(A=2\pi rh+2\pi r^2\)Where,
\(\begin{gathered} r=\text{ Radius} \\ \\ h=\text{ Height} \end{gathered}\)The radius and height of the cylinder
\(\begin{gathered} r=\frac{\text{ Diameter}}{2} \\ \\ r=\frac{12}{2} \\ \\ r=6\text{ mi} \\ \\ h=9\text{ mi} \end{gathered}\)The surface area of the shape is:
\(\begin{gathered} A=2\pi rh+2\pi r^2 \\ \\ A=2\pi(6)(9)+2\pi(6)^2 \\ \\ A=108\pi+72\pi \\ \\ A=180\pi\text{ mi}^2 \end{gathered}\)The surface area is 180π mi²
find the point p that partitions the line segment AB given the ratio. A(3,5)B(4,3) with the ratio. 3:1
Answers
The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).
What is section Formula?The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.
P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .
Ratio of line = 3:2
m and n represents the ratios 3:2
let the coordinates of p(x, y).
using Section formula
= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]
= (15/ 4, 14/4)
= (3.75, 3.5)
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Write the following phrase as a variable expression. Use x to represent “a number” The sum of a number and fourteen
Answers
we can write "the sum of a number and fourteen", given that x represents any number, like this:
\(x+14\)Need help ASAP
A gives the area of the rectangle. Find the
11.
12.
A-35 m²
5 m
b
6 ft
Answers
Answer:
Area of a rectangle = l × b
11. 35 = 5 × b
b = 35/5
b = 7 m
12. 48 = 6 × h
h = 48/6
h = 8 ft
13. 24 = b × 3
b = 24/3
b = 8 in
Hope it helps!
What is the gradient?
Answers
Answer:
Gradient = 2
Step-by-step explanation:
Gradient of a line = Slope of the line
Since, slope of a line passing through two points \((x_1, y_1)\) and \((x_2,y_2)\) is given by,
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
Given line in the graph passes through two points (1, 0) and (2, 2)
Therefore, slope or gradient of the line = \(\frac{2-0}{2-1}\)
= 2
Gradient = 2 will be the answer.
For your sports equipment store, you purchase a case containing 24 canisters of tennis balls for $60. You in turn charge $4 for each canister. How much is the price of each case of tennis balls marked up?
Answers
Answer:
60%
Step-by-step explanation:
Given data
we are told that 24 canisters cost $60
hence the cost per canister = 60/24= $2.5
The selling price per canister= $4
%mark up = selling price-cost price/cost price *100
Substitute
%mark up = 4-2.5/2.5 *100
%mark up = 1.5 /2.5 *100
%mark up = 0.6 *100
%mark up = 60%
Hence the percent mark up is 60%
In the monthly payment formula M=Pr(1+r)"/(1+r)^-1'for r if the interest rate is 4.8%? what value would you put for r if the interest rate is 4.8%?A. 0.0048B. 4.8C. 0.004D. 0.48
Answers
Here, given the monthly payment formula as:
\(M=\frac{Pr(1+r)^n}{(1+r)^{-1}}\)Given an interest rate of 4.8%, the value you would put for r is:
r = 4.8%
SImplify 4.8%:
\(\frac{4.8}{100}=0.048\)The value to input as r which is rate is 0.048
Given are the functions f(x) = x ^ 2 and g(x) = (x - 2) ^ 2 + 1 How can the graph of g(x) be obtained from the graph of f(x) ?
Answers
Answer:
c because it's the opposite
SAT scores: The College Board reports that in 2009, the mean score on the math SAT was 582 and the population standard deviation was =σ120. A random sample of 20 students who took the test in 2010 had a mean score of 515. Following is a dotplot of the 20 scores. (a) Are the assumptions for a hypothesis test satisfied? Explain. (b) If appropriate, perform a hypothesis test to investigate whether the mean score in 2010 differs from the mean score in 2009. Assume the population standard deviation is =σ120. What can you conclude? Use the =α0.10 level of significance and the critical value method.
Answers
Answer:
we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
Step-by-step explanation:
H0 : μ = 582
H1 : μ < 582
Test statistic :
T = (xbar - μ) ÷ σ/√n
Xbar = 515 ; n = 20 ; σ = 120
T = (515 - 582) ÷ 120/√20
T = -67 / 26.832815
T = 2.50
Pvalue at t score = 2.50 ; df = 19 is 0.0187
At α = 0.0187
Pvalue > α ; Hence, we fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.
last year my parents had a combined income of $84,000. they paid 20,400 in federal income taxes. what simplified fraction shows how much my parents spent in taxes
Answers
The simplified fraction which shows the amount spent by thee parents in taxes as required in the task content is; 17/70.
What fraction of the parent's income is spent on taxes as described in the task content?It follows from the task content that the combined income of the parent's is; $84,000 and $20,400 of the income is spent on taxes.
It therefore follows that the simplified fraction which represents how much spent on taxes is;
= 20,400/84,000
= 17/70.
Ultimately, the required simplified fraction is; 17/70.
Therefore, the simplified fraction which shows the amount spent by thee parents in taxes as required in the task content is; 17/70.
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Please solve the problems below and follow instructions given.
Answers
What is a Right Angle Triangle?
A Right Angle Triangle is a triangle where one of the angles is equal to 90 degrees.
To calculate the values using SOHCAHTOA
SOHCAHTOA calculate the angles and sides of the right triangle, using trigonometric function sine, cosine, and tangent. There are two triangles in which the adjacent and opposite changes based on which angle is in question, the hypotenuse always stays the same.
Where Sin A = Opposite/ Hypotenuse
Cos A = Adjacent / Hypotenuse
And Tan A = Opposite / Adjacent
For question 1,
If Opposite = PR
Adjacent = PQ
Hypotenuse = QR
Sin A = 14/50
Cos A = 48/50
Tan A = 14/48
For question 2,
If Opposite = PQ
Adjacent = PR
Hypotenuse = QR
Sin A = 48/50
Cos A = 14/50
Tan A = 48/14
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Find the area of the figure. (Sides meet at right angles.)
5 cm
4 cm
A cm
5 cm
5 cm
4 cm
4 cm
Answers
Answer:
80 cm²Step-by-step explanation:
to get the area of the given figure,
we need to split it in to two (see attached)
then area of a rectangle = length x width
A1 = 15 cm x 4 cm = 60 cm²
A2 = 5 cm x 4 cm = 20 cm²
Area = A1 + A2
= 60 + 20
= 80 cm²
Area in this figure will be 80cm².
How to calculate the area of the rectangle?The area of the rectangle can be calculated by the product of length and breadth of the rectangle.
A=l*b
where l is length and b is the breadth.
So according to asked question in the drawn figure,
connect the point B and G.
now this figure will give two rectangle i.e. ABGH and CDEF
Rectangle ABGH has length l=5cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²
Now CF=CB+BG+GF=5+5+5=15
Rectangle CDEF has length l=CF=15cm
breadth b=4cm
area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²
Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF
=20cm²+60cm²
=80cm²
Therefore area in this figure will be 80cm².
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Draw a diagram of and of when x is 3.
Answers
How am I supposed to answer this question? I don't understand.
Answer:
Step-by-step explanation:
Here the graph :)
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Answers
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
a triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square centimeters. find its slant height.
PLEASE ANSWER ASAP
Answers
Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.
Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of each side
of the square pieces of paper must be approximately equal to_____inches. If each side were exactly this length, the area of each
square would be_____
square inches.
Answers
Answer:
the first one is 48 i will have to do more solving for it but when i do i will edit my answer
Step-by-step explanation:
Answer:
second answer would be 11.9716
Step-by-step explanation:
Help me please guys! :(((( or else.!! PLEEEASEE!
Answers
Answer:
Option 4 from the top down: -2.4 ≤ -2.40
Step-by-step explanation:
If looked at without regard for their amount of significant digits, we can state that:
-2.4 = -2.40
Thus, it is true that
-2.4 ≤ -2.40
As this states that -2.4 is smaller or equal to -2.40, of which the latter is indeed true.
A bakery used 35% more butter this month than last month. If the bakery used 240 kilograms of butter last
month, how much did it use this month?
You must show your work for full credit. Remember to include units.
Answers
Answer:
25%
Step-by-step explanation:
the bakery used 25% of butter.
Answer:
240 X 35% = 84
240 + 84 = 324
Step-by-step explanation:
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answers
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
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