Answer:
56 points
Step-by-step explanation:
Given that:
Worth of sliver chip = 4 points
Worth of gold chip = 7 points
If Athena has 4 gold and 7 silver chips ;
Number of points will be ;
(Number of gold * worth of gold Chip) + (number of silver * worth of silver chip)
(4 * 7) + (7 * 4)
28 + 28 = 56 points
Hence, Athena will have 56 points.
The salary scale for an officer starts at $1,700,000 .A rise of $4000 is given at the end of each share . Find the total amount of money the officer will earn in 14 years
9514 1404 393
Answer:
$24,164,000
Step-by-step explanation:
The yearly salaries form an arithmetic sequence with a first term of 1700000 and a common difference of 4000.
The sum of n terms of an arithmetic sequence with first term a1 and common difference d is ...
Sn = (2a1 +d(n -1))(n/2)
For the given numbers, the sum of 14 years' salaries will be ...
S14 = (2·1,700,000 +4,000(14 -1))(14/2) = 24,164,000
The officer will earn $24,164,000 in a 14-year period.
Clearly, we can see that salary of the officer is in form of Arithmetic progession, where :
First term, a = $ 1,700,000Common difference = $ 4000Number of terms, n = 14And we have to find total salary i.e. [tex] \tt s_{n} = ?[/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{S_n = \dfrac{n}{2} \Bigg(2a + (n-1) d\Bigg)}}}[/tex]
By substituting values :
[tex] \tt : \implies S_n = \dfrac{14}{2} \Bigg(2(1700000) + (14-1) (4000)\Bigg)[/tex]
[tex] \tt : \implies S_n = \cancel{\dfrac{14}{2}} \Bigg(2\times 1700000 + 13 \times 4000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \Bigg(3400000 + 52000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \Bigg(3452000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \times 3452000[/tex]
[tex] \tt : \implies S_n = 24164000[/tex]
[tex] \large \underline{\boxed{\bf{S_n = \$ 24,164,000}}}[/tex]
Hence, the total amount of money the officer will earn in 14 years is $ 24,164,000.
i need help with finding the domain of R
Answer:
The domain of R = [-2, ∞)
Step-by-step explanation:
We know that the domain of a function is the entire set of input values for which the function remains real and defined.
Given the attached graph, we can observe that at point x=-2 the graph heads towards positive infinity.
i.e. [-2, ∞) is the interval.
It means from x=-2 onwards to the positive infinity i.e. the interval [-2, ∞), the graph is representing the domain.
Therefore, the domain of R = [-2, ∞)
24
23
22
21十
20-
4
8
12
16
Answer:
counted down
Step-by-step explanation:
it was counting up and went down by couting down in 2
I need help with this ASAP, I’ll give brainliest if correct
Answer:
5 dollars
Step-by-step explanation:
Answer:
The price of an adult ticket is $5
Step-by-step explanation:
5*5=25
31-25=6
4*5=20
62-20=42
42÷7=6
There are 160 cups of water in 10 gallons of water. What is the total number of cups of water
in one and one-half (1.5) gallon of water? *
As an estimation we are told £3 is €4.
Convert £6 to euros.
The length of a rectangle 2 less than 2 times the width. The perimeter is 116ft. Find
the length and width.
Answer: w = 20 l = 38
Step-by-step explanation:
l = 2w - 2 (based on given info)
p = 2l + 2w (formula for perimeter)
p = 116 (given)
116 = 2l + 2w
116 = 2(2w-2) + 2w (substitute in l)
116 =‘ 4w-4 + 2w
116 = 6w-4
w=20
l=2(20) - 2 = 38
While Justin is in training, he is to drink 500 milliliters of water 4 times per day. How many liters of water will that be for one week?
Answer:
14
Step-by-step explanation:
!!!!!!!HELP PLEASE!!!!!!
Answer: length 48 width 38
Step-by-step explanation: 48+48+38+38=173
Plz help (wil give brainliest to best answer)
Answer:
A: Corresponding
B: Alternate interior
C: Corresponding
D: Alternate exterior
E: Same side interior
Step-by-step explanation:
A: One angle is on the interior and one is on the exterior and they are both on the same side of the transversal which makes them corresponding angles
B: Both are in the interior just on opposite sides of the transversal
C: See answer to A
D: Both are on the exterior and they are on opposite sides of the transversal which makes them alternate exterior
E: Both are on the interior on the same side of the transversal which makes them same side interior.
PLEASE help im struggling
Solve the equation 7x-4(-4x-16)= -166
Answer: x = -10
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x= -10
Step-by-step explanation:
7x-4(-4x-16)=-166 foil the ()
7x+16x+64= -166 combine terms
23x+64= -166 subtract 64 to both sides
23x= -230 divide by 23
x= -10
A girl scout troop makes $1100 in two weekends of selling cookies. If they continued at this rate, how much money would they make in their seven weekend selling season?
Answer:
$3850
Step-by-step explanation:
It is given that,
A girl scout troop makes $1100 in two weekends of selling cookies.
2 weekend = $1100
1 weekend = $550
For 7 weekend, we will multiply $550 by 7 as follows :
7 weekend = $550 × 7
= $3850
So, for 7 weekend she will need $3850.
Which of the following is a root of the polynomial shown below?
f(x) = x2 + 2x2 - x-2
O A. 1
OB. 3
O c. O
O D. 2
Answer:
We conclude that option A is true as x = 1 is the root of the polynomial.
Step-by-step explanation:
Given the polynomial
[tex]f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2[/tex]
Let us determine the root of the polynomial shown below.
[tex]\:0=\:x^2\:+\:2x^2\:-\:x-2[/tex]
[tex]0=3x^2-x-2[/tex]
switch sides
[tex]3x^2-x-2=0[/tex]
as
[tex]3x^2-x-2=\left(3x+2\right)\left(x-1\right)[/tex]
so the equation becomes
[tex]\left(3x+2\right)\left(x-1\right)=0[/tex]
Using the zero factor principle
[tex]3x+2=0\quad \mathrm{or}\quad \:x-1=0[/tex]
solving
[tex]3x+2=0[/tex]
[tex]3x=-2[/tex]
[tex]\frac{3x}{3}=\frac{-2}{3}[/tex]
[tex]x=-\frac{2}{3}[/tex]
and
[tex]x-1=0[/tex]
[tex]x=1[/tex]
The possible roots of the polynomial will be:
[tex]x=-\frac{2}{3},\:x=1[/tex]
Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.
Lashawn used 44 stamps to mail a package. He used a
combination of $0.50 stamps, $0.35 stamps, $0.02 stamps,
totaling $15.01. If the number of $0.35 stamps is nine less
than twice the number of $0.50 stamps, find the number of
each type of stamp.
Answer:
Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package
Step-by-step explanation:
The given parameters are;
The number of stamps Lashawn used to mail the small package = 44
The price of the combination of 44 stamp = $15.01
The price categories of the stamps are $0.50, $0.35, and $0.02
The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9
Let, x represent the number of $0.50 stamps Lashawn used to mail the package
We have;
The number of $0.50 stamps Lashawn used to mail the package = x
The number of $0.35 stamps = 2 × x - 9 = 2·x - 9
The number of $0.35 stamps = 2·x - 9
The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x
The number of $0.02 stamps = 53 - 3·x
Which gives;
0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01
0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01
1.14·x - 2.09 = 15.01
1.14·x = 15.01 + 2.09 = 17.1
x = 17.1/1.14 = 15
x = 15
The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps
The number of $0.50 stamps Lashawn used = 15 stamps
The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps
The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.
find the value of x
Answer:
9x= 360 -180
x= 180/9
x= 20°
Answer:
x = 30
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, thus
sum = 180° × 3 = 540°
Sum the given angles and equate to 540, that is
x + 106 + 90 + 74 + 8x = 540, simplify
9x + 270 = 540 ( subtract 270 from both sides )
9x = 270 ( divide both sides by 9 )
x = 30
I’m on a timer I need help with this ASAP!!!!!!!!!!
Who cursed Narcissus with forcing him to fall in love with his reflection?
1 point
Hera
Aphrodite
Hestia
Persephone
Answer:
Aphrodite
Step-by-step explanation:
Aphrodite is the goddess of love. I have done this question!
Which model can be used to represent the number below? 0.111
Answer:
The top right one
Step-by-step explanation:
It’s 111 so first find the one with the 10x10 grid then get the one of ten finally get the one with one
Answer: It is the top right.
Step-by-step explanation:
Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
Part A: Figure 1 →Figure 4
Part B: Figure 2 → Figure 5
Answer:
Part A: Figure 1 → Figure 4
Rigid Transformation
Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation
Part B: Figure 2 → Figure 5
Similarity transformation
Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation
Step-by-step explanation:
Part A: Figure 1 → Figure 4
The coordinates of the vertices of the preimage are;
(5, 10), (2, 4), (9, 2)
The coordinates of the vertices of the image are;
(-9, -2), (-2, -4), (-5, -10)
Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin
Part B: Figure 2 → Figure 5
The coordinate points of figure 2 are;
(-9, 2), (-5, 10), and (-2, 4)
The coordinate points of figure 5 are;
(1, 2), (2.5, -1), and (4.5, 3)
The lengths of the sides of figure 2 are;
√((10 - 2)² + ((-5) - (-9))²) = 4·√5
√((10 - 4)² + ((-5) - (-2))²) = 3·√5
√((2 - 4)² + ((-9) - (-2))²) = √53
The lengths of the sides of figure 5 are;
√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2
√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5
√((4.5 - 1)² + (3 - 2)²) = (√53)/2
Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2
Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°
We have;
Figure 5 is obtained as follows;
1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;
(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)
2) The image is translated left by 1 blocks and up by 6 blocks as follows;
(9, -2), (5, -10), and (2, -4) → (8, 4), (4, -4), and (1, 2)
3) The image is then dilated by a scale factor of 1/2 with a center of dilation of (1, 2) to get;
Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?
Answer:
The width of the garden is 25 feet
The length of the garden is 60 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle
= P = 2L + 2W
Where L = Length, W = Width
The length of the garden is 10 feet more than twice its width.
P = 170
L = 2W + 10
Hence,
170 = 2(2W + 10) + 2W
170 = 4W + 20 + 2W
Collect like terms
170 - 20 = 6W
150 = 6W
W = 150/6
W = 25 feet
The width of the garden is 25 feet
Remember
L = 2W + 10
L = 2(25) + 10
L = 50 + 10
L = 60 feet
The length of the garden is 60 feet
What Student starts Farther away
Plz help. Which problem is a linear equation?
Answer:
I think the answer should be A
Why do I have to watch an ad just to be told that I have to pay for brainly...
Answer:
Money
Step-by-step explanation:
Ads help provide money for the company.
HOPE THIS HELPED
hi, can someone pls double-check my answers and let me know if I got any wrong?? :)
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
Answers: 1. 6 + t
2. 11y
3. 4 - 12
4. 6 / t
5. 25 - 19
6. s + 2s
7. 11 - r
8. 6x + 2s
9. (17 - 12) - 2
10. 3x - 10
11. (7 x 2) / 2
Answer:
They are all right
Step-by-step explanation:
An Olympic runner completes the 200-meter sprint in 23 seconds. What is the runner’s average speed? (Round your answer to the nearest tenth of a meter per second.)
0.9 m/s
1.2 m/s
8.7 m/s
10.1 m/s
Answer:
C. 8.7 m/s
Step-by-step explanation:
Answer:
8.7 m/s
Step-by-step explanation:
correct on edge 2021
Which table made this graph?
Answer:
IV
Step-by-step explanation:
The Y column is the same, and so is the graph.
6
1
1 point
If f(x) = 4x – 11, what is the value of f(5)?
O 20. – 55
0 4
O 9
O 34
2
3
Answer:
9
Step-by-step explanation:
f(x) = 4x- 11
f(5) = 4(5) - 11
f(5) = 20- 11
f(5) = 9
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11=0
Solve: -4.2 divided by 12
Answer: -0.35
Step-by-step explanation:
Answer:
- 0.35
Step-by-step explanation:
4.2 / 12 = 0.35
But you would put a negative sign at the end because the 4.2 was a negative but not the 12. (When only one number is negative in an equation the answer also has to be negativ.)