Step-by-step explanation:
x+y=5
3x-2y+5=0
3x-2y= -5
x+y=5...... equation 1
3x-2y= -5....... equation 2
there fore make x the subject of the formula in equation 1
x=5-y.. equation 3
substitute equation three in equation 2
3(5-y)-2y=-5
15y-3y-2y=-5
10y=-5
divide both sides by 10
y=-5/10
y=-½
substitute y into equation 1
x+(-½)=5
x=5+½
x=5½
x=5½,y= -½
What 124.2÷9 step-by-step explanation please help !! ( long division ..”
Answer: 13.8
Step-by-step explanation:
What is the value of x in the equation 3(2 - x) = 8(x - 2)?
Answer:
2
Step-by-step explanation:
The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2
PLZ HELP ME WITH THIS THANK U
10(c+5)=125
Step 1: Simplify both sides of the equation.
10(c+5)=125
(10)(c)+(10)(5)=125(Distribute)
10c+50=125
Step 2: Subtract 50 from both sides.
10c+50−50=125−50
10c=75
Step 3: Divide both sides by 10.
10c /10 = 75 /10
c = 15 /2
A group of workers can plant 2/5 acres in days.3/4 What is the unit rate in acres per day?
Answer:
8/15
Step-by-step explanation:
Unit rate is 8 / 15 acres per day.
What is work?
"Work is defined as when force is applied on an object and it gets move in particular direction."
According to the question,
Group of workers plant 2/ 5 acres in 3 /4 days
3 / 4 days = 2/ 5 acres
1 day = \(\frac{2}{5}\) × \(\frac{4}{3}\)
⇒ 1 day = 8 / 15 acres
Hence, Unit rate is 8 / 15 acres per day.
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Find the indicated z score. The graph depicts the standard normal distribution with mean and standard deviation 1.a0.8554Z 0BSB.The indicated z score is(Round to two decimal places as needed.)
we have that
P+0.50=0.8554
so
P=0.3554
using the tables of z-score
For P=0.3554
the value of z is
z=1.06
Where is the angle of depression?
Where is the angle of elevation?
How far apart are the two buildings?
What’s the height of the taller building?
Answer:
angle of elevation is at top and depresseion on bottom.
Step-by-step explanation:
far apart and height is calculated with more information
The measure of angle 1 is 3k - 7 and the measure of angle 8 is 5k + 29 29. What is the value of k
A: k= -18
B: k= 19.75
C: k= 36
D: k= 72
Answer:
Its A k = -18
Step-by-step explanation:
Because since angle 1 and 8 are the same your equation is 3k-7 = 5k+29. and then you solve and get k = -18.
Help meeeeeeeeeeeeeee please
Answer:
\(6^{-5}\)
Step-by-step explanation:
lmk if its right :)
using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
According to the statement
We have to find that the value of the combination.
So, For this purpose, we know that the
A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.
From the given information:
A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:
= 3 yellow pebble + 2 yellow pebbles
= 5 yellow pebbles or 15 red pebbles
And
Two blue pebbles will be:
= 10 yellow pebbles
= 3 red pebbles and 1 yellow pebbles.
So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
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Disclaimer: This question was incomplete. Please find the content below.
Question:
A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles
Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
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b) Expand and simplify. (m-3) (m+2)
Answer:
m^2 - m - 6
Step-by-step explanation:
(m-3)(m+2)
m^2 - 3m + 2m - 6
m^2 - m - 6
Answer:
m^2-m-6
Step-by-step explanation:
m(m+2)-3(m+2)
m^2+2m-3m-6
m^2-m-6
A bag contains 46 U.S. quarters and four Canadian quarters. (The coins are identical in size.) If seven quarters are randomly picked from the bag, what is the probability of getting at least one Canadian quarter
Thus, there is a 62.5% chance of getting at least one Canadian quarter when seven quarters are randomly picked from the bag.
To find the probability of getting at least one Canadian quarter when picking seven quarters from the bag, we can use complementary probability. This means we can find the probability of not getting any Canadian quarters and subtract it from 1.
The total number of quarters in the bag is 50.
The probability of getting at least one Canadian quarter out of seven quarters can be calculated as the complement of the probability of getting all U.S. quarters.
The probability of getting a U.S. quarter on the first draw is 46/50.
Since the coin is not replaced after each draw, the probability of getting a U.S. quarter on the second draw is 45/49, and so on.
Therefore, the probability of getting all U.S. quarters in seven draws can be calculated as follows:
= (46/50) x (45/49) x (44/48) x (43/47) x (42/46) x (41/45) x (40/44)
= 0.375
So, the probability of getting at least one Canadian quarter out of seven draws is:
1 - 0.375 = 0.625 or 62.5%
Therefore, there is a 62.5% chance of getting at least one Canadian quarter when seven quarters are randomly picked from the bag.
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There are blank
legs for every 4 ears.
There are blank
legs for every 1 ear
Answer:
There are 8 legs for every 4 ears.
There are 2 legs for every 1 ear.
Step-by-step explanation:
The pig and the mouse have a total of 4 ears.
We can count to see that there are 8 legs for every 4 ears.
We want to find a ratio of legs to ears that is equivalent to 8:4
Please help find x in this equation
3(9+x)-31=20
Hello There today we will solve your problem
\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)
Solve for \(x\) please :-
\(3(9+x)-31=20\)
_____________________
DefinitionsTo use the distributive property, we need to understand the formula to use it. This formula will ensure that you can easily solve any equation.
The distributive property is A(B + C) = AB + AC, where AB is the product of the values A and B and AC is the product of the values A and C.
First, let's notice that we are distributing a 2 into the parentheses, so we will mark this as our A value.
Then, our two values inside the parentheses are B and C respectfully.
-Definition by Noble Penguin (Mod)_____________________
Apply Distributive property
\(3(9)+3(x)-31=20\\27+3x-31=20\\3x-31=-7\\3x=24\\x=8\)
This is the second time you've asked this question
Find the mean, the variance, the first three autocorrelation functions (ACF) and the first 3 partial autocorrelation functions (PACF) for the following AR (1) process with drift X=α+βX t−1 +ε t
Given an AR(1) process with drift X = α + βX_{t-1} + ε_t, where α = 2, β = 0.7, and ε_t ~ N(0, 1).To find the mean of the process, we note that the AR(1) process has a mean of μ = α / (1 - β).
So, the mean is 6.67, the variance is 5.41, the first three ACF are 0.68, 0.326, and 0.161, and the first three PACF are 0.7, -0.131, and 0.003.
So, substituting α = 2 and β = 0.7,
we have:μ = α / (1 - β)
= 2 / (1 - 0.7)
= 6.67
To find the variance, we note that the AR(1) process has a variance of σ^2 = (1 / (1 - β^2)).
So, substituting β = 0.7,
we have:σ^2 = (1 / (1 - β^2))
= (1 / (1 - 0.7^2))
= 5.41
To find the first three autocorrelation functions (ACF) and the first 3 partial autocorrelation functions (PACF), we can use the formulas:ρ(k) = β^kρ(1)and
ϕ(k) = β^k for k ≥ 1 and
ρ(0) = 1andϕ(0) = 1
To find the first three ACF, we can substitute k = 1, k = 2, and k = 3 into the formula:
ρ(k) = β^kρ(1) and use the fact that
ρ(1) = β / (1 - β^2).
So, we have:ρ(1) = β / (1 - β^2)
= 0.68ρ(2) = β^2ρ(1)
= (0.7)^2(0.68) = 0.326ρ(3)
= β^3ρ(1) = (0.7)^3(0.68)
= 0.161
To find the first three PACF, we can use the Durbin-Levinson algorithm: ϕ(1) = β = 0.7
ϕ(2) = (ρ(2) - ϕ(1)ρ(1)) / (1 - ϕ(1)^2)
= (0.326 - 0.7(0.68)) / (1 - 0.7^2) = -0.131
ϕ(3) = (ρ(3) - ϕ(1)ρ(2) - ϕ(2)ρ(1)) / (1 - ϕ(1)^2 - ϕ(2)^2)
= (0.161 - 0.7(0.326) - (-0.131)(0.68)) / (1 - 0.7^2 - (-0.131)^2) = 0.003
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What is the area of a 16 x 9 foot rectangle?
Answer:
144 square foot
Step-by-step explanation:
Area of rectangle: Length × breadth
Area of rectangle = 16 × 9
= 144 square foot
The base of a glass paperweight is a regular hexagon with a side length of
6 centimeters. the area of the base is 93.6 square centimeters. the slant height is 12 centimeters. what is the surface area of the paperweight?
Answer:
The surface area of a solid object like a paperweight is calculated by adding the areas of all its faces. In this case, the paperweight is like a hexagonal pyramid, with a hexagonal base and six triangular sides. The base area has already been given as 93.6 square centimeters.
The six triangles are isosceles triangles, since the base of each triangle is a side of the hexagon, and the slant height is the same for each triangle.
The area of an isosceles triangle is given by the formula:
Area = 1/2 * base * height
For these triangles, the base is 6 cm (side length of the hexagon), and the height is the slant height, which is 12 cm.
So the area of one triangle is:
Area = 1/2 * 6 cm * 12 cm = 36 square cm
Since there are six such triangles, the total area of the triangular faces is:
6 * 36 square cm = 216 square cm
So, the total surface area of the paperweight is the area of the base plus the area of the six triangular faces, or:
93.6 square cm (base) + 216 square cm (sides) = 309.6 square cm
So the surface area of the paperweight is 309.6 square cm.
Compare these two numbers which one has a greater value
8.5 x 10^23 or
9.99 x 10^21
The school band bought cheese and pepperoni pizzas in the ratio represented in the tape diagram for their end of year party. A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Cheese pizzas. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Pepperoni pizzas. A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Cheese pizzas. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Pepperoni pizzas. Based on the ratio, if they bought 6 cheese pizzas, how many total pizzas did they buy?
According to the graph, it can be inferred that 12 cheese pizzas and 4 pepperoni pizzas were purchased.
How to calculate the number of pizzas of each flavor that the school band bought?To calculate the number of pizzas of each flavor that the school band bought, we must take into account the graph. It specifies that for every 3 cheese pizzas, 1 pepperoni pizza was purchased. Additionally, it is reported that the band bought 12 cheese pizzas.
Based on the above, we need to divide the total number of cheese pizzas the band bought by the number of pizzas each pizza group has (3 cheese, 1 pepperoni). According to the above, the result would be 4.
So, we must multiply the number of pepperoni pizzas by the result of the previous operation. That would not result in 4, meaning 4 pepperoni pizzas were purchased.
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foil method?
1. (x-2)(x+3)
2. (x+4)(x-12)
3. (x+3)(x+4)
4. (x+6)(x+7)
5. (x+8)(x+9)
6. (x-5)(x+5)
7. (x+3)(x-3)
8. (x+10)(x+10)
9. (x-2)(x+12)
10. (x + 4)(x - 3)
11. (x+5)(x+2)
12. (x-3)(x-4)
13. (x+7)(x-7)
14. (x-6)(x+3)
15. (x+10)(x-5)
Answer:
i try my best to find the answer if i can
Step-by-step explanation:
Answer: 1. x^2+x-6
2. x^2-8x-48
3. x^2+7x+12
4. x^2+13x+42
5. x^2+17x+72
6. x^2-25
7. x^2-9
8. x^2+20x+100
9. x^2+10x-24
10. x^2+x-12
Step-by-step explanation:
I got the first 10 for you hope this helps :)
6 times 9+6+9 =?
Pls help
144
If you add 9+6+9 is will give you 24 than you would times that by 6. So 9+6+9= 24 next 24×6=144.
A skier skis along a circular ski trail that has a radius of 1.25 km. The skier starts at the East side of the ski trail and travels in the CCW direction. Let θ represent the radian measure of the angle the skier has swept out.Write an expression (in terms of θ) to represent the skier's distance to the East of the center of the ski trail (in km). Write an expression (in terms of θ) to represent the skier's distance to the North of the center of the ski trail (in km).
Point a. To solve the exercise you can first make a drawing to understand the situation.
Since the skier starts from the East of the center of the ski trail and reaches the East of the center of the ski trail again, then finding the distance that the skier travels is equivalent to finding the perimeter of the ski trail.
The formula to find the perimeter of a circle is
\(\begin{gathered} P=2\pi r \\ \text{ Where r is the radius of the circle and} \\ 2\pi\text{ is the angle} \\ \end{gathered}\)So, in this case, you have
\(undefined\)What pleASE help IM TRYING TO HELP MY BROTHER THIS IS EMBARR
Answer:
9/5 ft.
Step-by-step explanation:
9/10 + 9/10 = 18/10 = 9/5
Sharon has a patio in the shape of a rectangle
The length of the patio is I feet
• The width of the patio is w feet
Sharon plans to expand the patio by increasing the length by 50% and increasing the width by 20%
Which of the following expressions could be used to find the area, in square feet, of the expanded patio
O A. (1.51) (1.2w)
O B. (+0.5) Xfw +0.2)
© C. (2 x w) + (0,5 +0.2)
O D. (0.5l) (0.2w)
Answer:
D
Step-by-step explanation:
The area of the expanded rectangular patio is: D. (0.5l)(0.2w)
What is the Area of a Rectangular Patio?Area = (length)(width)
Given the following:
l = length of patiow = widthNew length = 50% of l = 0.5l
New width = 20% of w = 0.2w
Area of the expanded rectangular patio = (0.5l)(0.2w)
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Can someone help me giving me the answers,
Please
The error occurred in step 1
The error is not finding the absolute value of aThe correct solution which is the absolute value of a is a = 3/2 or a = -7/2The justification for solving the equation -2(t + 3) + 4 = 12 + 6t is below;
original equationDistributive propertyAddition property of equalitySubtraction property of equalityCombine like termsDivision property of equalitySolutionSimplified solutionHow to solve absolute value equation?2 |a + 1| = 5
Step 1:
2 |a + 1| = 5 or 2 |a + 1| = -5
2a + 2 = 5 or 2a + 2 = -5
combine like terms
2a = 5 - 2 or 2a = -5 - 2
2a = 3 or 2a = -7
divide both sides by 2
a = 3/2 or a = -7/2
2.
-2(t + 3) + 4 = 12 + 6t original equation
-2t - 6 + 4 = 12 + 6t Distributive property
-2t - 2 = 12 + 6t Addition property of equality
-2t - 2 - 6t = 12 + 6t - 6t Subtraction property of equality
-8t - 2 + 2 = 12 + 2 combine like terms
-8t / -8 = 14 / -8 Division property of equality
t = 14/-8 solution
t = 7/-4 simplified solution
Therefore, the equation -2(t + 3) + 4 = 12 + 6t has a simplified solution of t = 7/-4
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Provide the answer to question number 5
The function value that us greater is with estimated value of 96
How to find the estimated value?The estimated value is the value read from the graph which gives the accumulated value for each of the line
The first line gives an estimated value of
10+14+18+19+28 = 89
The second graph gives gives an estimated value of
17+18+19+20+22 = 96
Therefore comparing the two graphs, the one with 96 has the greater value
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what is
m(x)=4x+15; m(x)=7
Answer:
x = -2
Step-by-step explanation:
m(x) = 4x+15; m(x) = 7
7= 4x+15
7-4x=15
-4x=15-7
-4x=8 / :(-4)
x= -2
7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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Which equation below has imaginary solutions?
Which equation below has imaginary solutions?
\left(x+2\right)^2-5=0(x+2)
2
−5=0
\left(x-4\right)^2-5=0(x−4)
2
−5=0
\left(x+4\right)^2-5=0(x+4)
2
−5=0
\left(x+4\right)^2+5=0(x+4)
2
+5=0
The equation that has imaginary solutions is the one that involves taking the square root of a negative number. In this case, the equation \(\((x+4)^2+5=0\)\) has imaginary solutions.
To see why, let's solve the equation:
\(\((x+4)^2+5=0\)\)
Expanding the square:
\(\(x^2 + 8x + 16 + 5 = 0\)\)
Combining like terms:
\(\(x^2 + 8x + 21 = 0\)\)
This is a quadratic equation, but the discriminant \((\(b^2 - 4ac\))\)determines the nature of the solutions. In this case, the discriminant is \(\(8^2 - 4(1)(21) = 64 - 84 = -20\).\)
Since the discriminant is negative, the equation has imaginary solutions.
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Which equation can be used to calculate the area of the shaded triangle in the figure below?
A rectangle is shown with a width of 8 ft and a length of 14 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.
(4 points)
a
2(14 + 8) = 44 square feet
b
1 over 2. (14 + 8) = 11 square feet
c
2(14 × 8) = 224 square feet
d
1 over 2. (14 × 8) = 56 square feet
Answer:D
Since the bottom half the triangle is shaded the width becomes 4 and the length stays the same. 4x14= 56, or 1/2(14x8)
write the word sentence as an equation and then solve the equation
-13 is 4 less than a number n.
for brainiest :)
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Answer:
-9=n
Step-by-step explanation:
-13=4-n
+4 to both sides to get n by its self
-13+4=9
-13-4=9
-9=n