Step-by-step explanation:
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.
Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...
Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
A garden swimming pool with a cuboidal shape is 8m long and 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it. What is the height of the water level in the pool
Answer:
the pool with 40m³ of water in it is 1.25m deep
Step-by-step explanation:
first convert 150 cm to 1.5m
2nd 8m l × 4m w × 1.5m d = 48m³
3rd divide 40m³ by 8m l × 4m w or 32m²
40m³/32m² = 1.25m deep
Quadrilateral JKLM with vertices J(2, 10),
K(8,9), L(7,4), and M(3, 4):
J
k = 2, centered at (4,7)
Given:
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
4.
A recipe for 12 cookies calls for 15 cups of milk, 2 cups of flour, and 1 cups of other
ingredients. How many total cups of milk, flour, and other ingredients are needed to make
24 cookies?
a) 103 cups
b) 116 cups
C) 11 cups
d) 103 cups
Answer:
2 cups of milk, 4 cups of flour, and 2 cups of other ingredients
Step-by-step explanation:
multiply them by 2
Need help i attached images below i will give brainly to who ever answers first
Answer:
1. 23
2. 32
3. 9
4. -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)
= 7*( -2x +3y - 0.7)
-2x + 3(-5x + 1) = -2x - 15x + 3
= -17x + 3
-3x + 5(-8x - 1) = -3x - 40x - 5
= -43x - 5
-4x + 5(-5x - 1) = -4x - 25x - 5
= -29x - 5
John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?
Answer:
500 ml
Step-by-step explanation:
1 liter = 1 000 ml
1 / 2 liters = 1000 ml /2 = 500 ml
1000ml - 500 ml = 500 ml
A satellite’s original velocity is 40000
m/s. After 10 minutes, the velocity of
the satellite is 4000 m/s. What is the
satellite’s acceleration?
Answer:
-60m/s²
Step-by-step explanation:
The first thing to do is know the equation:
(Final velocity - initial (original) velocity) / time (seconds)
Next you check the units:
10 minutes = 600 seconds
Then you use the equation to solve the problem:
(4000 - 40000) = -36000
-36000 / 600 = -60
Units for acceleration = m/s²
Answer = -60m/s²
The value is negative because the satellite's velocity has decreased
Hope this helps.
what is the proportional relationship represented by this table?
what´s the answer to this?
Step-by-step explanation:
it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.
the first table (top left) increases x constantly by 1.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the second table (top right) increases x constantly by 2.
and y increases constantly by 2.
this is constant also in relation to x.
in technical terms : the slope of the function is the same for every point of the function.
in other words : it is a straight line all the way.
so, it is a linear function.
the third table (bottom left) increases x constantly by 1.
but y increases first by 4 and then by 1 and then again by 1.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the fourth table (bottom right) increases x constantly by 2.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
i need help...Which table represents a function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negative 2, 8. The second column is labeled y with entries negative 1, 0, negative 1, 1.
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 0, negative 5, 6. The second column is labeled y with entries negative 5, 0, 5, negative 6.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 2, negative 2, 0. The second column is labeled y with entries 8, 2, 4, 2.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, 3, 1, negative 4. The second column is labeled y with entries 2, 5, 3, 0.
Explanation:
A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.
Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.
Diane has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12. Green grapes cost $3/lb and red grapes cost $2/lb.
Answer:
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Step-by-step explanation:
12 ≥ 3x + 2y
Money available ≥ cost of green grapes + cost of red grapes
To turn this into slope-intercept form,
12 ≥ 3x + 2y
2y ≥ -3x + 12
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Graphed - see attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
a break on the earth crust that is a result of movement or shaking refers to
Answer:
A fault
Step-by-step explanation:
A fault is a crack in the Earth's crust that allows chunks of the crust to move relative to one another along its length.
Solve it ( i'll select u as brainlist )
Answer:
x=5/6 y=8/5
Step-by-step explanation:
times the second one w 2
equals to -12x+10y=-6
then add this to the above one together,you can eliminate the x, then solve an equation w only y.
after you get y, get it into whatever the above one or below one,you will get the x as well
Answer:
x = 5/6
y = 1 and 3/5
Step-by-step explanation:
12x + 15y = 34
-6x + 5y = 3
12x + 15y = 34
3(-6x + 5y = 3)
12x + 15y = 34
-18x + 15y = 9
30x = 25
30x/30 = 25/30
x = 5/6
-6x + 5y = 3
-6(5/6) + 5y = 3
-5 + 5y = 3
+5 +5
5y = 8
5y/5 = 8/5
y = 1 3/5
the bulk juice outlet charges $4 for a quart of any organic juice. using this information, fill in the prices for different volumes of juice.
Answer: 8 for 1/2 gallon, 16 for a gallon
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{27 {x}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \dfrac{27 {x}^{4} }{ {x}^{2} } [/tex][tex] \dfrac{27 \times x \times x \times x \times x}{x \times x} [/tex][tex]{27 \times x \times x}[/tex][tex]27 {x}^{2} [/tex]1) 20/2 × 7 = ?
2) 6/2 + 6/1 = ?
.
.
_____
0.
20/2 × 7 = ?
= 10 × 7
= 70
[tex] \: [/tex]
Number (2)6/2 + 6/1 = ?
= 3 + 6
= 9
[tex]\huge\mathfrak\blue{Answer}[/tex]
3 + 6 = 9Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.
Which expression represents the amount of milk that will be in each milkshake?
Answer: 2/9 gallon per shake
Step-by-step explanation:
(2/3)/3
2/9 gallon per shake
(2/9)*(3) = 6/9 or 2/3
Which of the following functions is graphed below?
Answer:
The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2
Step-by-step explanation:
solve for x
(4/9)^√x=(2/3)^39-√x
Answer:
169
Step-by-step explanation:
(4/9)^√x = (2/3)^39-√x
(2/3)^2√x = (2/3)^39-√x
Comparing the bases ,
2√x = 39-√x
3√x = 39
√x = 13
x = 169
Help Me Within 7 Minutes for brainliest. I already have a sorta guess But I'm not positive, A little help here? I want to confirm my answers and it seems no one else ever posted this question out.
y=3x+5
m=3Parallel lines has equal slope .
So equation of parallel line also have slope 3Take the 2nd option
[tex]\\ \sf\longmapsto 6x+2y=12[/tex]
Cut 3[tex]\\ \sf\longmapsto 3x+y=4[/tex]
[tex]\\ \sf\longmapsto y=-3x+4[/tex]
Note the answerTake 3rd option
[tex]\\ \sf\longmapsto -3x+y=8[/tex]
[tex]\\ \sf\longmapsto y=3x+8[/tex]
Take the 1st option
[tex]\\ \sf\longmapsto 3y=9x[/tex]
[tex]\\ \sf\longmapsto y=3x[/tex]
Option C and A is correct
Answer:
C and A
Step-by-step explanation:
Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.
a. 3y = 9x
y = 3x
---
b. 6x + 2y = 12
2y = -6x + 12
y = -3x + 6
---
c. -3x + y = 8
y = 3x + 8
---
d. y = -1/3 x
The graph of a function is shown:
Answer: a) {-3, -1, 3, 4}
Step-by-step explanation:
f(x) is the output, and x is the input.
Hope it helps :) and let me know if you want me to elaborate.
How to solve this? If u can ols sho step by step
for example, the line is y = ax + b (1)
we have the line go through the point ( 0 ; 3 ) so y = 3 (2)
we also have the line go through the point ( 0 ; 5 ) so x = 5 (3)
And look at the picture we also have b= 3 (4)
Put (2)(3)(4) in (1) we gonna have a= -3/5
so the line gonna be y = -3/5x + 3
P/s: if you don't understand, you can try this:
we have the line go through the point ( 0 ; 3 ) so y = 3
we also have the line go through the point ( 0 ; 5 ) so x = 5
so put it in the answer :
+) -3x -5y = 15
when x = 0 => y = -3 but y = 3 so it's wrong
+) y = -3/5x + 3
when x = 0 => y = 3
when y = 0 => x = 5 it's right :))
+) 3x + 5y = 15
when x = 0
when y = 0 => x = 5 it's right :)) but write improperly :'))
+) y = -3/5 ( x - 5 )
when x = 0 => y = 3
when y = 0 => x = 5 it's right :)) but write improperly :'))
so we choose y = -3/5x + 3
ok done. Thank to me :>
A group of friends is sharing 2 ½ pounds of berries
If each friend received 5/4 of a pound how many friends are sharing the berries
Answer:
2 friends
Step-by-step explanation:
Answer:
3 1/2
Step-by-step explanation:
A computer can download 250 megabyte (MB) of a movie file in 25 seconds thenHow long does the computer take to download the whole file of size 1.8 GB?
1.8 * 1000=1800/250*25=180
thats the answer 180seconds
Please help asap! Thank youu
if it's likely but not certain i would think it's c and if it's wrong i'm very sorry
Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no
Answer:
NO
Step-by-step explanation:
Write an explicit formula for the recursive formula
A(n) = A(n - 1) + 3; A(1) = 6
Answer:
[tex]a_{n}[/tex] = 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3
how to work out 12.5% of a number
Step-by-step explanation:
12.5÷100 × 5
=0.125×5
=0.625
−7a − 12q + 6a + 13q + 4a − 7a
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q