|x+2), if x >- 1
Plz plz plz help
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
A similar problem is given at https://brainly.com/question/24372153
A circle has a diameter of 8 cm. What is its radius?
A. 8cm
B. 12cm
C. 4cm
D. 16cm
Answer:
C. 4 cm
Step-by-step explanation:
"Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle."
So, divide 8 by 2
⇒8/2
⇒ 4
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
Stay strong!
Love,
-Aadi x
Help me out please?.
Expand and simplify
5 (p+6) - 2 (3p+4)
and
7 (k-2) - 3 (2k-5)
Find the nth term for each sequence
5,9,13,17,21
1,8,15,22,29
10,6,2,-2,-6
Please help
Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
solve 2x + 3y = 4 - 2x - y = -8
Answer:
y = -2 and x = 5
Step-by-step explanation:
2x + 3y = 4
-2x - y = -8
Since this is a system of equations, we can either substitute or subtract. I will be subtracting.
2x + 3y - 2x - y = 4 - 8
2y = -4
y = -2
Now that we have y, we will plug it in for the first equation and solve.
2x + 3(-2) = 4
2x - 6 = 4
+ 6 + 6
2x = 10
x = 5
10. Find the measure of exterior angle TUV below. Record your answer on the grid.
Answer:
41
Step-by-step explanation:
Can you help please.....
Answer:
b, d, and e are the three statements that make the most sense to be true.
Step-by-step explanation:
tell me if this is wrong.
hey i need help finishing this question on my exit ticket asap please i don’t want no links just the answer
Answer:
201.06
Step-by-step explanation:
What is 73/48 simplified
Answer:
The Decimal form is: 1.52083 (and the 3 keeps going and going)
Is mixed number it is: 1 25/48.
De un depósito se gasta primero la mitad del agua, y luego la cuarta parte de lo que quedaba. Al final,
quedan 12 litros. Hallar la capacidad del depósito.
Answer:5/8 fraction of the deposit has been spent, which is 20 liters
Let "a" be the initial amount of water, then first half the water is used: then a / 2 of water is used and the other half is left at / 2 * (1/4), then the fourth part is used: then 1/8 * a is used, so now it remains: a / 2 - a / 8 = 3/8 * a, so 5/8 * a has been used, then what remains are 12 liters:
3/8 * a = 12 L
a = 12 L * 8/3 = 32 L
Wasted: 32 L - 12 L = 20 L
You can visit: brainly.lat/tarea/13597443
Help!!!!!
The net of a prism is shown below.
Answer:
SA = (3 x 12) + (3 x 4) = 36 + 12 = 48 cm²
Step-by-step explanation:
9 + 12 + 2(⁷/2) + 15 = 9 + 12 + 7 + 15 = 43 ===> surface area.
Hope to helpfull
If tan 0=5/12 and sin 0>0, then cos 0=?
A -5/13
B 12/13
C 13/12
D -12/13
Answer:
B. 12/13
Step-by-step explanation:
Hypotenuse= [tex]\sqrt{(5)^{2}+12^{2} } \\[/tex]
hypotenuse=13
opposite= 5
adjacent= 12
Cosine= adjacent/hypotenuse
cosine= 12/13
What are the zeros of f(x) = x(x - 9)?
A. X= 0 and x= -9
B. x = 9 only
C. x = 0 only
D. x= 0 and x = 9
Neeed help ASAP!!!
Answer:
D
Step-by-step explanation:
f(x) =x(x-9)
X(x-9)=0
X2-9x=0
X2-9x+0=0
(X2-9X)
x(x-9)=0
X-9=0
X=9
X+0=0
X=0
A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?
Answer:
Lateral Surface Area = 94.25 cm²
Surface area = 150.8 cm²
Step-by-step explanation:
A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?
Step 1
We have to find the radius of the cylinder
We are told in the question that:
The circumference of one circle is 18.84 cm
Circumference of a circle = 2πr
18.84cm = 2πr
r = 18.84/2π
r = 2.9984791279cm
Approximately the radius = 3cm
Step 2
We find the Lateral Surface Area of the Cylinder
The formula =2πrh
r = 3cm
h = 5cm
=2×π × 3 × 5
= 94.24778 cm²
Approximately = 94.25 cm²
Step 3
We find the Surface Area of the Cylinder
The formula =2πr(r + h)
r = 3cm
h = 5cm
=2×π × 3 × 5(3 + 5)
= 150.79645 cm²
Approximately = 150.80 cm²
Evaluate the following: 21 - 8- (-5)(7)| - 54
Answer:
21−8−(−5)(7)−54
=−6
Step-by-step explanation:
21−8−(−5)(7)−54
=13−(−5)(7)−54
=13−(−35)−54
=48−54
=−6
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
.Find -23+57 and 57+-23
PLZ ANSWER WITH FULL EXPLANATION
Answer:-23+57=34 and 57 + -23 =34
|
Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80
regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .
Write the repeating decimal as a mixed number.
Which is an equation of the line through the origin and (-8, -5)?
O A. y = 8/5 x
O B. y= -5x
O C. y = 5/8x
D. y = -8x
Help
Plz due now
6
Select all the expressions that equal 4×10
Answer:
40
Step-by-step explanation:
5 × 8 = 40
1 × 40 = 40
2 × 20 = 40
Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
A right triangle has side lengths of 20, 21, and 29 centimeters. The angle formed at the intersection of the 21 cm and 29 cm sides is labeled x. Find sin x.
answer choices:
20/29
21/29
20/21
29/21
Urgent please help..
Answer:
Length of the segment of a secant 'x' is 4 cm.
Step-by-step explanation:
If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.
By this property,
[tex]4\times x = 8^2[/tex]
[tex]4x = 64[/tex]
[tex]x=\sqrt{16}[/tex]
[tex]x=4[/tex] cm
Therefore, length of the segment of a secant 'x' is 4 cm.
What is the median for the set of data?
6, 7, 10, 12, 12, 13
Find the surface area of the following cylinder. Round your answers to the nearest tenth.
Answer: 628
Step-by-step explanation:
2πr^2+2πrh
2(3.14)(5)^2+2(3.14)(5)(15)
2(3.14)(25)+2(3.14)(75)
2(78.5)+2(235.5)
157+471
628
use the graph to answer these questions. what is the slope and y-intercept?
slope: -1/4
y-int: -1
y=(-1/4)x-1
PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST
Answer:
Marta spent a total of $34.29
Step-by-step explanation:
Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29
3 times $8.50 = $25.50
5 times $1.25 = $6.25
$25.50 + $6.25 = $31.75
What is the length of EF in the right triangle below?
The side length of a cube is 8 cm, and the side length of a smaller cube is 2 cm.
The volume of the larger cube is how many times the volume of the smaller cube?
Answer:
64 times larger
Step-by-step explanation:
8^3=512
2^3=8
512/8=64