Answer:
£700
Step-by-step explanation:
First we find the interest on this money.
Interest = Principal * Rate * Time
=[tex]\frac{500 * 8 * 5}{100}[/tex]
=5 * 8 * 5
=£200
Interest = £200
Now you add his actual money to the interest you just found to give you the total amount.
Amount = £500 + £200
= £700
If P = (5,4), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Answer:
Number that fits in the green box is 4.
Step-by-step explanation:
Coordinates of a point P are (5, 4)
Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,
(x, y) → (y, -x)
By this rule, image of the point P(5, 4) will be,
P(5, 4) → P'(4, -5)
Therefore, number that fits in the green box will be 4.
Answer: (-4,5)
Step-by-step explanation:
i got it right ; )
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures
Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
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Which pair of triangles can be proven congruent by AAS theorem?
I think the answer is D.
Work out angle x Triangles are not drawn to scale
Answer:
1) x = 71°, 2) x = 27°, 3) x= 32°
Step-by-step explanation:
1) Rectangle ABCD.
∠D = 90°
From ΔABE.
∠EAB +∠ABE + ∠BEA = 180°
45 + 90 +∠BEA = 180
∠BEA = 45
∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle
45 + x + 64 = 180
x = 71°
2) Δ XYZ is equilateral, all angles = 60°.
∠YZX = 60°.
∠YZW = 180°, because it is a straight angle.
∠YZX + ∠XZW= 180
60 + ∠XZW= 180
∠XZW = 120.
From ΔXZW
∠ZXW + ∠XWZ + WZX = 180
x + 33 + 120 = 180
x = 27°
3) In ΔPQR,
PQ = PR, so ∠PQR = ∠PRQ = 69°
∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.
∠PRQ + ∠PRS = 180
69 + ∠PRS = 180
∠PRS = 111°.
From ΔPRS
∠PRS + ∠RSP + ∠SPR = 180
111 + 37 + ∠SPR = 180
111 + 37 + x= 180
x = 32
Five submarines sink on the same day, and all five go down at the same spot where a sixth had previously sunk. How might they all lie at rest so that each submarine touches the other five? To simplify, arrange six wooden matches so that each match touches every other match. No bending or breaking allowed.
Answer:
picture is attached
Step-by-step explanation:
there are many options but this is one
PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!
Answer: Find a common denominator on the right side of the equation
Step-by-step explanation:
You can see that they found the common denominator of 4 therefore that is the correct answer
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 2 and x = 5. (10 points) Graph of 2 to the power of x plus 1
Solve the inequality
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x < 12
x < 4
Answer: x < 4
Step-by-step explanation:
3x < 9 + 3
you’re going to add the two (9+3= 12) numbers.
3x < 12
Then divide both sides of the inequality by 3.
3x < 12 = x < 4.
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
what number decreased by 6 equals 3 times the number
Answer:
-3
Step-by-step explanation:
x-6=3x
2x=-6
x=-3
The required number is -3 decreased by 6 equals 3 times.
A number to be determine when decreased by 6 equals 3 times the number.
What is arithmetic?it explores the numbers of operations according to the statements.
Let the number be x,
Now,
x-6=3x
x= -3
Thus, the required number is -3 decreased by 6 equals 3 times.
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What is the slope of the line that contains the points (0, -8) and (4, 1)?
4
OA)
9
9
B)
4
C) 4
7
OD)
4
Answer:
9/4
Step-by-step explanation:
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1--8)/( 4-0)
= (1+8)/4
= 9/4
which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answer:
The pair of numbers that has a product of ac and a sum of b = (+2, +8)
The factored form of the trinomial = (x+2) (x+8)
Step-by-step explanation:
ax² + bx + c = 0
This is in the form of a trinomial algebraic expression
Given trinomial: = ax² + 10x + 16
Where a = 1, b= 10, c= 16
To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.
Using factorisation method:
ac = a×c = 1×16 = 16
Let's find the factors of 16 whose sum gives +10 and product gives +16
Factors of 16 = 1, 2, 8, 16
+2 + +8 = +10
+2 × +8 = +16
The factors are +2 and +8
The pair of numbers that has a product of ac and a sum of b = (+2, +8)
x² + 10x + 16 = x + 2x + 8x + 16
x² + 10x + 16 = x(x+2) + 8(x+2)
= (x+2) (x+8)
The factored form of the trinomial = (x+2) (x+8)
Answer:
(x+2) (x+8)
Step-by-step explanation:
find the sum of the series 81-27+9......-1/27.
Answer:
[tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]
Step-by-step explanation:
The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...
[tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]
This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...
[tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]
Combine like terms -5.55-8.55c+4.35c
PLEASE HELP ASAP THANKSSSS
Answer:
The correct answer is C
Step-by-step explanation:
As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.
In a local ice sculpture contest, one group sculpted a block into a rectangular-based pyramid. The dimensions
of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this
sculpture
Answer:
Step-by-step explanation:
To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as
Volume = 1/3 × base area × height
Since the base is rectangular, base area = length × width = 3 × 5 = 15 m
Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is
1/3 × 15 × 3.6 = 18 m³
Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³
Step-by-step explanation:
Simplify √5x/x √ 20 answer choices
a.1/2
b.√x/2x
c.√x/2
Answer:
a
Step-by-step explanation:
Find the difference.
(3x4 - 5x2 - 4)-( 2x3 x2 + 1)
w
3x4 - 2x3 - 4x2-5
a
Answer:
(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15
3x4 - 2x3 - 4x2-5 is equals to -7
Step-by-step explanation:
1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)
3 x 4 = 12 5 x 2 = 10 12 - 10 = 2 2 - 4 = -2
2 x 3 = 6 6 x 2 = 12 12 + 1 = 13
-2 - 13 = -15
2.)3x4 - 2x3 - 4x2-5 is eaquals to -7
3 x 4 = 12 2 x 3 = 6 12 - 6 = 6 4 x 2 = 8
6 - 8 = -2 -2 - -5 = -7
Those were my answers
ONE MORE well maybe 3 more LOLLL ok can u answer this dont look it up pls!!!!!!!!!! :/ thank you sm
Answer:
Hey there!
Your answer would be 1/3 (12) hours.
Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.
Hope this helps :)
Answer:
1/3 * 12
4 hours
Step-by-step explanation:
We can use ratios to solve
1/12 tank 1 tank
---------------- = ----------------
1/3 hour x hours
Using cross products
1/12 x = 1/3 *1
Multiply each side by 12
12 * 1/12 x = 1/3 * 12
x = 4
4 hours
1.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−9,8) Midpoint: (2,−1)
2.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
1. Coordinates of the other endpoint are (13, -10)
2. Coordinates of the other endpoint are: (8, 8)
Step-by-step explanation:
1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11
And the difference in the vertical axis is: | -1 - 8 | = 9
So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)
2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.
The differences now are:
horizontal: 4 - 0 = 4
vertical: 5 - 2 = 3
and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.
So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:
Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)
All of the following expressions simplify to 3, except _____.
-6 + 9
1 - (-2)
-9 ÷ (-3)
-5 - 2
Answer:
-5 - 2
Step-by-step explanation:
Solve each of the following
A is -6 + 9 which equals 3
B is 1 - (-2) which simplifies into 1 + 2 which equals 3
C is -9 / -3. the negatives cancel leaving 9/3 which is 3
D is -5 - 2 which simplifies into -5 + -2 which equals -7
Please help me i will mark,thank you!! Urgent work please answerr
Answer:
5 and 29
Step-by-step explanation:
If k= -2, l = 3, m = 4.
Then to solve
k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.
So for k + l + m :
k + l + m = -2 + 3 + 4 = -2 + 7 = 5
And for K^2 + l^2 + m^2:
K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29
Hope this helps
(38x+61y)-(3x-11y) simplify this expression
━━━━━━━☆☆━━━━━━━
▹ Answer
35x + 72y
▹ Step-by-Step Explanation
(38x + 61y) - (3x - 11y)
38x + 61y - (3x - 11y)
38x + 61 y - 3x + 11y
35x + 61y + 11y
35x + 72y
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
In an orchard the ratio of apple trees to pear trees is 2 : 5, and the ratio of pear trees to peach trees is 3 : 4. Work out the ratio of apple trees to pear trees to peach trees.
Answer:
5/8
Step-by-step explanation:
apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8
Pleas answer in two minutes now
Answer:
I believe the answer is C.
The probability that my bus is late on any day is 0.2. The probability that it rains tomorrow is 0.4. If the weather and the bus are independent, what is the probability that it rains AND my bus is late?
Answer:
0.08
Step-by-step explanation:
The probability that the bus is late on any day is 0.2
The probability that it rains tomorrow is 0.4
The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.
Therefore:
P(late & rains) = 0.2 * 0.4 = 0.08
Answer:
The probability that it rains and the bus is late is 1/7
Step-by-step explanation:
Practically, we can apply the Bayes’ theorem to solve this.
Mathematically, we use the Bayes’ problem as follows;
P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]
Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6
P(on time) = 1-P(late) = 1-0.2 = 0.8
Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2
Substituting these values into the Bayes’ equation above, we have;
P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)
= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7
The points (0, –1) and (4, 5) lie on the straight line L.
Find an equation of the line which is parallel to L and passes through the point (–2, 0).
Answer:
y = 3/2x + 3.
Step-by-step explanation:
With these two points, we can find the equation of line L.
y = mx + b
Slope: (5 --1) / (4 - 0) = 5 + 1 / 4 = 6 // 4 = 3/2
Intercept: [stated by the first pair of coordinates] (0, -1)
y = 3/2x - 1
Since the line is parallel to L, the slope is the same as line L.
y = 3/2x + b
The line passes through (-2, 0), so we can substitute the points into the equation and solve for b.
0 = 3/2 * -2 + b
b - 3 = 0
b = 3
So, the equation of the line which is parallel to L and passes through the point (-2, 0), is y = 3/2x + 3.
Hope this helps!
Write 23 /2 as a mixed number. Give your answer in its simplest form.
Answer:
11 1/2
Step-by-step explanation:
Convert improper fraction to mixed number
23 over 2
= 11 and 1/2
23 ÷ 2 = 11 remainder 1
Answer:
11whole,1 and a half
Step-by-step explanation:
divide 23 by 2
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct? associative property commutative property distributive property identity property
Answer: distributive property
Step-by-step explanation:
[tex]5(18)=2(18)+3(18)[/tex]
[tex]18(2+3) = 2* 18+ 3*18[/tex]
[tex]18*5 = 2* 18+ 3*18[/tex]
Answer: Distributive Property
Step-by-step explanation: