Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
[tex]1.03p=650[/tex]
To solve for p, we can simply divide both sides of our equation by 1.03 to get
[tex]p=650/1.03\approx631.07[/tex]
So our orignal amount, to the nearest penny, was £631.07
Answer:
£631.07
Step-by-step explanation:
What is 1 + 3 (x - 5)
Answer:
1 + 3 (x - 5) = 3x - 14
Step-by-step explanation:
Given:
1 + 3 (x - 5)
Open parenthesis
= 1 + {(3 * x) - (3 * 5)}
= 1 + (3x - 15)
= 1 + 3x - 15
= 3x - 14
1 + 3 (x - 5) = 3x - 14
This sign shows when a lift is safe to use.
Total mass of people must be 480 kg or less
Fred and some other people are in the lift and their total mass
is 565 kg to the nearest 5 kg.
Fred, who has a mass of 88 kg to the nearest kg, gets out of the lift.
Is the lift now safe to use?
You must show your working and clearly state 'Yes it is safe' or 'No it is not safe'
Answer:
Yes it is safe
Step-by-step explanation:
lower bound of fred's weight (88kg) = 87.5kg
upper bound of total mass (480kg) = 567.5 kg
567.5kg - 87.5kg = 480 kg
The total mass in the lift after Fred gets out is [tex]477[/tex] kg which is less than the safe limit of [tex]480[/tex] kg. So, the lift is safe to use.
Maximum mass in the lift [tex]= 480[/tex] kg.
Total mass of Fred and other people in the lift [tex]= 565[/tex] kg.
Mass of Fred, in nearest kg, [tex]= 88[/tex] kg.
Fred gets out of the lift. So, subtract the mass of Fred from the total mass in the lift.
Total mass of people in the lift [tex]= 565-88 = 477[/tex] kg, which is less than safe limit of mass in the lift.
So, the lift is safe to use now.
Learn more here:
https://brainly.com/question/11921841?referrer=searchResults
3x - y = 5
2x + 3y = 7
I need solving systems of equations!!!! HURRY
3x + 7 = y-5
trying to find y
Answer: Simplifying
3x + 7 = y + -5
Reorder the terms:
7 + 3x = y + -5
Reorder the terms:
7 + 3x = -5 + y
Solving
7 + 3x = -5 + y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3x = -5 + -7 + y
Combine like terms: 7 + -7 = 0
0 + 3x = -5 + -7 + y
3x = -5 + -7 + y
Combine like terms: -5 + -7 = -12
3x = -12 + y
Divide each side by '3'.
x = -4 + 0.3333333333y
Simplifying
x = -4 + 0.3333333333y
Step-by-step explanation: Hope it helps please mark brainliest.
Luke plotted the number of hits he got in his baseball games this season versus the number of games played on a scatter plot. He then determined two lines of best fit and looked at the two residual plots shown below to determine which line is a better fit for the data that he collected. Luke wants to use the line of best fit that best fits the data to help him determine how many hits he will get as he plays more games. Determine which statements are true and which are false regarding the line of best fit for the data collected. Select True or False for each statement.
Answer:
Step-by-step explanation:
True
False
False
Write the equation of the line, in slope-intercept form, with the following information: slope -1/2 y-intercept: (0, 3)
Answer:
Y=-1/2+3
Step-by-step explanation:
What is the volume of the triangular prism
Hight 10in
Base 14 in
Length 6
Answer:
[tex]V=336\ in^3[/tex]
Step-by-step explanation:
Triangular Prism
Given a triangular prism of base area A and height H, its volume is obtained with the formula:
V = AH
The area of the base is calculated as follows:
[tex]A = \frac{WL}{2}[/tex]
Where W is the width and L is the length. Both dimensions must be perpendicular.
The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:
[tex]L=\sqrt{10^2-6^2}[/tex]
[tex]L=\sqrt{100-36}=\sqrt{64}[/tex]
L = 8 in
The area is:
[tex]A = \frac{6*8}{2}[/tex]
[tex]A = 24\ in^2[/tex]
Finally, the volume is:
[tex]V = 24\ in^2*14\ in[/tex]
[tex]\boxed{V=336\ in^3}[/tex]
pls help with geometry
Answer:
Step-by-step explanation:
4) Corresponding part of congruent figures are congruent.
ΔABC ≅ ΔDEF
∠B = ∠E
∠B = 93°
∠F = ∠C = 73°
AC = DF = 7.6 cm
DE = AB = 5.4 cm
5)∠M = ∠A = 112
∠C =∠O = 81
OP = CD
AD = MP
The graph shows the relationship between the number of classes that some university students missed in the scores that those students received on a test based on the graph approximately what test score would you expect for student who misses three classes
Answer:
70
Step-by-step explanation:
I don’t understand this
Answer:
x=32
Step-by-step explanation:
Arrange the equation in a manner that all variables are on the same side and all numbers with no variables are on the other side=
41+23=-6x+8x
64=2x
x=64/2
x=32
PLEASE HELP ASAP WILL GIVE BRAINLEAST
Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain.
A.Yes; it is a reflection over the x-axis.
B.Yes; it is a reflection over the y-axis.
C.Yes; it is a reflection over line f.
DNo; it is not a reflection.
Answer:
D no its not
Step-by-step explanation:
Answer:
The answer is D.It is NOT a reflection
Step-by-step explanation:
A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolate.
If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square?
A 1/18
B 1/6
C 5/18
D 1/3
Answer:
d
Step-by-step explanation:
18/36 is equivalent to 1/3
Simplify -n x 8 x n please help
Answer:
−8[tex]n^{2}[/tex]
Step-by-step explanation:
Hey there
Steps :
-n x 8n
Apply the exponent rule : [tex]a^{b} * a^{c} = a^{b + c}[/tex]
[tex]-n = -n^{1}[/tex]
[tex]n = n^{1}[/tex]
[tex]-8n^{1+1}[/tex]
add the numbers: 1+1
[tex]-8n^{1+1} = -8n^{2}[/tex]
Pls help meeeeeeeeeeee
A dozen burritos cost $3.69. How much is one burrito?
0 A $0.31
O B. $0.37
O C. $0.40
O D. $3.90
Answer:
A, .31
Step-by-step explanation:
If 12 burritos costs 3.69 then you just divide it by 12 and get .3075 which rounds to A
Answer:
A
Step-by-step explanation:
$3.69/12=0.3075 round your answer .
0.31
Two suitcases together weigh 84 pounds. One weighs 28 pounds. What is the weight of the other suitcase?
Answer:
56 lb
Step-by-step explanation:
84-28=56
For proof look at the calculator. Calculator never lies. UwU
Answer:
The weight of the other suitcase is 56 pounds
Step-by-step explanation:
The equatiom would be 84 pounds(the total of both the suitcases) minus 28
84-28 is 56 pounds
A force of 450 N is exerted with a pressure of 15 N/m2.
Calculate the area to which the force has been applied.
134356377489486467347
Step-by-step explanation:
Force (F) = 450 N
Pressure (P) = 15 N/m² or 15 pa
Area (A) = ?
We know the force acting normally per unit area is pressure so,
P = F / A
15 = 450 / A
A = 450 / 15
A = 30 m²
The area to which the force has been applied is 30 m².
Hope it will help :)❤
what is the factored form of 18x2 + 3x - 6?
3(3x + 2)(2x -1)
3(2x + 1)(3x - 2)
6(3x - 1) (x + 1)
6(3x + 1) (x -1)
Answer:
3(2x+1)(3x-2)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Calculate the indicated function values in the following problems. Simplify your answers.
Answer:
14) [tex]f(10) = 10[/tex], 15) [tex]f(-2) = -2[/tex], 16) [tex]f(a) = a[/tex], 17) [tex]f(a+b) = a+b[/tex], 18) [tex]g(10) = 38[/tex], 19) [tex]g(-2) = -22[/tex], 20) [tex]g(a) = 5\cdot a - 12[/tex], 21) [tex]g(a+b) = 5\cdot a +5\cdot b -12[/tex]
Step-by-step explanation:
Let [tex]f(x) = x[/tex] and [tex]g(x) = 5\cdot x - 12[/tex], we proceed to resolve on each case:
14) [tex]f(10)[/tex]
[tex]f(x) = x[/tex]
[tex]f(10) = 10[/tex]
15) [tex]f(-2)[/tex]
[tex]f(x) = x[/tex]
[tex]f(-2) = -2[/tex]
16) [tex]f(a)[/tex]
[tex]f(x) = x[/tex]
[tex]f(a) = a[/tex]
17) [tex]f(a+b)[/tex]
[tex]f(x) = x[/tex]
[tex]f(a+b) = a+b[/tex]
18) [tex]g(10)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(10) = 5\cdot (10) -12[/tex]
[tex]g(10) = 38[/tex]
19) [tex]g(-2)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(-2) = 5\cdot (-2) -12[/tex]
[tex]g(-2) = -22[/tex]
20) [tex]g(a)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(a) = 5\cdot a - 12[/tex]
21) [tex]g(a+b)[/tex]
[tex]g(x) = 5\cdot x - 12[/tex]
[tex]g(a+b) = 5\cdot (a+b) -12[/tex]
[tex]g(a+b) = 5\cdot a +5\cdot b -12[/tex]
How much space does Riya have left in the room. Give your answer in metres.
Answer:
1.84 (precisely)
Step-by-step explanation:
width of the cupboard = 1m
1m to cm
1 × 100= 100cm
100cm + 84cm = 184cm
1m = 100cm
184/100 = 1.84m
Find the median of each set of data. 12, 8, 6, 4, 10, 1 7 6, 3, 5, 11, 2, 9, 5, 0 5 30, 16, 49, 25
Answer:
first 7 then 5 and 27.5
Step-by-step explanation:
if the point (2,-5) is reflected in the line y=x, then the image is what? { this is about reflections btw}
a. ( 5,-2) b. (-2,5) c. (-5.2) d. (-5,-2)
Answer:(-5,2)
Step-by-step explanation:
Definition: In an isosceles triangle, the
angles are the two congruent ones.
Answer:
opposite
Step-by-step explanation:
in an isosceles the opposite angles are the same
Answer:
base
Step-by-step explanation:
i had this question before
Riddle
Imagine your in a round house. With no way to get out. The only thing in the round house is a table and a mirror. How do you get out?
Answer:
That's tough......!!!!
Answer:
1st u eat the mirror then u smash the table thru the wall and then climb out.
Step-by-step explanation:
you read this far so gimmi 5 stars and a thanks -.-
How do you simplify square roots.
Answer:
Simplifying a square root just means factoring out any perfect squares from the radicand, moving them to the left of the radical symbol, and leaving the other factor inside the radical symbol. If the number is a perfect square, then the radical sign will disappear once you write down its root.
I thought of a number, subtracted it from 6 1/4 , multiplied the difference by 1 2/3 and then by 2 4/5 . The result was the same as the result of division of 146 by 5 3/14 . What was my number?
Answer:
The number was 1/4
Step-by-step explanation:
Let the
number be x
from the question, we have
6 1/4 - x
multiplied difference;
(6 1/4 - x) 1 2/3
The
next multiplication will give;
1 2/3 * 2 4/5
= 5/3 * 14/5 = 14/3
So we have;
(6 1/4 - x) 14/3
Result is same as:
146 divided by 5 3/14
= 146 * 14/73 = 28
Thus;
(61/4 - x) * 14/3 = 28
(25/4 - x) * 1/3 = 28/14
(25/4 - x) * 1/3 = 2
(25-4x)/4 = 6
25-4x = 6(4)
25-4x = 24
25-24 = 4x
4x = 1
x = 1/4
Work out the missing numbers:
a) 1.5 x__=10.5
b)__X 1.3 = 1.56
Answer:
a) 7
b)1.2
Step-by-step explanation:
10.5÷1.5=7
1.56÷1.3=1.2
half a number plus sixteen is 22
Answer: 3
Step-by-step explanation:
22-16 = 6 divided by 2 is 3
What is the volume of this container
Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spade card.
Answer:
1/2 ; 1/4
Step-by-step explanation:
Number of cards in a deck = 52
Number of red cards = 26
Number of spades = 13
Probability of event A :
P(A) = required outcome / Total possible outcomes
P( red card) = number of red cards / total cards in deck
P(red card) = 26 / 52 = 1/2
P(spade) = number of spades / total cards in deck
P(red card) = 13 / 52 = 1 / 4
