Answer:
x= -4, y= -7
Step-by-step explanation:
First, label the 2 equations.
6x -5y= 11 -----(1)
y= 7x +21 -----(2)
Substitute (2) into (1) so that the first equation is only written in terms of x.
6x -5(7x +21)= 11
6x -5(7x) -5(21)= 11 (Expand)
6x -35x -105= 11
-29x= 11 +105 (Simplify, +105 on both sides)
-29x= 116
x= 116 ÷(-29)
x= -4
Substitute x= -4 into (2):
y= 7(-4) +21
y= -28 +21
y= -7
triangle ABC has A(1,2), B(3,1), and C(2,4). it is reflected across the x-axis and then across the y-axis. which point is in the resulting image
Any five people on a committee of nine can decide for the committee. How many groups of five people are there?
15,120
45
126
1,860
Answer:
B. 45
Step-by-step explanation:
Just a pure guess. I got roasted a lot of times :( so I just guessed
126 groups can be made.
What is Combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by
n^C_r = n!/ r!( n-r)!
Suppose we have a set of 6 letters { A,B,C,D,E,F}. In how many ways can we select a group of 3 letters from this set? Suppose we find the number of arrangements of 3 letters possible from those 6 letters. That number would be 6P3
. Consider the permutations that contain the letters A, B, and C. These are 3! = 6 ways, namely ABC, ACB, BAC, BCA, CAB, and CBA.
We calculate combinations using the combinations formula, and by using factorials and in terms of permutations. In general, suppose we have n things available to us, and we want to find the number of ways in which we can select r things out of these n things. We first find the number of all the permutations of these n things taken r at a time. That number would be
nPr.
Given:
n= 9, r=5
n^C_r= 9!/ 5! * 4!
= 9*8*7*6/ 4*3*2
=126
Hence, there are 126 ways.
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Find x if the average of 20, 15, 13, 17, and x is 18.
Answer:
5
Step-by-step explanation:
solve the equation for x
Answer:
1/4x=8 which also equals 32
Step-by-step explanation:
12-4=8
5/8-3/8=2/8=1/4
1/4x=8 then you would multiple each side by 4 to cancel out and 4*8=32
Find the area of the figure to the nearest hundredth.
Step by step please!
Answer:
[tex] \approx 31.63 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the figure = 2 times the area of one semicircle with radius (5/2 = 2.5) 2.5 ft + Area of triangle with base 6 ft and height 4 ft.
[tex] = 2 \times \frac{1}{2} \pi {r}^{2} + \frac{1}{2} bh \\ \\ = 3.14 \times {(2.5)}^{2} + \frac{1}{2} \times 6 \times 4 \\ \\ = 3.14 \times 6.25 + 3 \times 4 \\ \\ = 19.625 + 12 \\ \\ = 31.625 \\ \\ \approx 31.63 \: {ft}^{2} [/tex]
I need to ask u two question for my Statistics Project. This is more of a survey.
At the school carnival, Luke bought a hot dog for $2. He also bought game tickets for $0.25
each. Luke spent a total of $10. Which of the following equations can be used to find the
number of game tickets Luke bought?
Answer:
2+.25x=10
Step-by-step explanation:
The angle of elevation from a point on the ground to the top of a tower is 36° 30'. The angle of elevation from a point 140 feet farther back from the tower is 25° 51'. Find the height of the tower. Round your answer to the hundredths place.
Answer:
67.83 feet
Step-by-step explanation:
Let h be the height of the tower and d be the distance from the point on the ground to the tower at an angle of elevation of 25° 51' from the tower. The line of sight of this point from the top of the tower, h and d form a right-angled triangle with the line of sight at an angle of elevation of 25° 51' being the hypotenuse side.
Using trigonometric ratios,
tan25° 51' = h/d
h = dtan25° 51'
We convert to degrees 25° 51'
25° 51' = 25° + 51' × 1°/60' = 25° + 0.85° = 25.85°
So, h = dtan25.85°
d = 140 feet
h = 140tan25.85°
h = 140 × 0.4845
h = 67.83 feet
A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?
A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5
thank you !!:) <3
Answer: i think it’s D
Step-by-step explanation:
What is the circumference of this circle? Use 3.14 for pie
Answer:
37.68
Step-by-step explanation:
C=3.14 x 12
I need help, please and Thank you!!
Answer:
87.55 cm²
step-by-step:
Base = 17 cm
Height = 10.3 cm
The area of triangle = 1/2 × Base × Height
→1/2× 17× 10.3
→175.1/2
→ 87.55cm^2
[tex]------------[/tex]
hope it helps...
have a great day!!!
The minute hand on a clock is 9 centimeters long and travels through an arc of 252 degrees every 42 minutes. To the nearest tenth of a centimeter, how far does the hand travel during a 42-minute period? (Use *insert pi symbol here* to approximate your answer) (Hint:Find the arc length)
Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.
Answer: = 16
Step-by-step explanation: Hope this help :D
What is the value of S4 for infinity sigma n=1 10(0.2)^n-1
A. 2.48
B. 12.48
C. 16
D. 24
Answer:
The answer is B. 12.48. I hope you have an amazing day <3
Step-by-step explanation:
Answer:
The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48
Step-by-step explanation:
Summationsummation is the addition of a sequence of any kind of numbers
Here we need to find the summation of first four terms.
so ,
S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex] = 0.08
S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4
S₂ = 10 × [tex]( 0.2 )^{2-1}[/tex] = 2
S₁ = 10 × [tex]( 0.2 )^{1-1}[/tex] = 10
Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48
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what is 5/11 as a decimal
3rd retry of this question! Please stop using bots to put in links as your answers!!! Please help me with this question! Thanks in advance!
Darius makes a shirt for $8. He sells the shirt for $18. By what percentage did Darius increase the cost of the shirt?
Answer:
He increased it by 225%
Step-by-step explanation:
18/8=2.25 and that into a percent is 225%
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer: I believe the answer is D
Step-by-step explanation:
Answer:
B. Number of days she trains
what operation do we use 2/5 of 100? what operation is involved when you use the word of here?
Answer:
multiply
Step-by-step explanation:
2/5of 100 === 2/5 × 100
Answer =40
Answer:
multiplication
Step-by-step explanation:
the word of means to multiply, so it would be multiplication
the equation written out would look like:
[tex]\frac{2}{5}*100[/tex]
ILL MARK BRAINIEST IF YOU GET THIS RIGHT!!!
Answer:
the answer is B!
hope this helps!
Find the surface area of the following shape
Answer:
148cm will be the answer
Step-by-step explanation:
It's a cuboid
L=6cmB=4cmH=5cm[tex] \boxed{ \sf \: tsa = 2(lb + bh + lh)} \\ \rm \mapsto \: 2(6 \times 4 + 4 \times 5 + 6 \times 5) \\ \rm \mapsto \: 2(24 + 20 + 30) \\ \rm \mapsto \: 2(74) \\ \rm \mapsto \: 148[/tex]
what percent of 20 is 3
Answer:
15
Step-by-step explanation:
Answer:
Esto es igual a igual a 0,6% m
Step-by-step explanation:
3÷100•20
The side length of a square is √27
inches. What is the area of the square?
...............
Answer:
27
Step-by-step explanation:
To find the are of a square, raise the side length to the power of two (or square it). [tex]\sqrt{27} *\sqrt{27}[/tex] is simply equal to 27.
I hope this helped!
The area of the square is 27 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
We have side of square is √27 inches.
So, the Area of Square
= side x side
= √27 x √27
= 27 inches²
Thus, the Required Area is 27 inch².
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HELP ASAP ASAP ASAPPPPPPPP
Answer:
20
Step-by-step explanation:
If they were whole itd be ten but there halves so 20
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
not necessarily congruent
Step-by-step explanation:
asa is angle side angle , in this case, none of the sides are marked congruent
sas is side angle side, again, no sides marked congruent
sss, side side side, again, no sides are marked congruent
which only leaves the triangles not being congruent.
The deli sells a bag of chips with a soda for $3.50. They charge a 6% tax. On top of that they charge a .25 cent fee for using a credit card. What would the total be for this snack?
Answer:
3.96
Step-by-step explanation:
3.50 x .06 =.21. Tax
3.50+.21+.25=3.96. Total + tax + credit card fee
What is the answer to this question?
Answer:
Step-by-step explanation:
Hello!
2*2* 5+ 2*2*4 =
20 + 16 = 36 cm³
Is the following sequence arithmetic?
23, -7, -37, -67, …..
Answer:
No it's not an Arithmetic Sequence since it doesn't have a constant common ratio
Hope this helps!
X - 13 = x + 1 is it true
Answer:
No it is wrong
Step-by-step explanation:
let's say the number is 15 is a substract 13 I get 2 but let's take 15 again of I add one I have 16 so it's incorrect
Answer:
Not true
Step-by-step explanation:
If we subtract x from both sides we geet -13 = 1, which of course is FALSE.
Which property is being used here?
-7 + 7 = 0
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]
Step-by-step explanation:
We are given this data and asked to find the data.
8, 7, 8, 5, 4, 6
The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.
[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]
First, we calculate the sum of the terms. Add up all the numbers.
sum= 8+7+8+5+4+6 sum= 38[tex]mean=\frac{38}{number \ of \ terms}[/tex]
Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).
[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]
Let's round to the nearest tenth.
6.33333333333The 3 in the hundredth place tells us to leave the 3 in the tenth place.
[tex]mean \approx 6.3[/tex]
The mean number of movies the students saw is approximately 6.3
Step-by-step explanation:
Terms are
8,6,8,5,4,6[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]
[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]
[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]