Step-by-step explanation:
Adam's bonus
30/100= 0.3
0.3 *80=24
therefore Adam's bonus is £24
since Katy bonus is £28
The difference between the bonus Adam gets and the bonus Katy gets
£28 -£24 =£4
Halla la ecuación de la circunferencia con r=10 y cuyo centro es el punto medio que une los puntos del segmanto A=(-7,-6) B(3,14). Escribe la ecuación en la forma ordinaria.
Responder:
(x + 2) ² + (y-4) ² = 100
Explicación paso a paso:
La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²
r es el radio
(x0, y0) es el centro
Dado que el centro representa el punto medio de (-7, -6) y (3,14)
x0 = -7 + 3/2
x0 = -4/2
x0 = -2
y0 = -6 + 14/2
y0 = 8/2
y0 = 4
Sustituir en la expresión
(x - (- 2)) ² + (y-4) ² = 10²
(x + 2) ² + (y-4) ² = 100
Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100
Consecutive numbers follow one right after the other. An example of three consecutive numbers is 17, 18, and 19. Another example is -100, -99, -98. How many sets of two or more consecutive positive integers can be added to obtain a sum of 100? What are they?
help pls
The solution is 32 1/3 , 33 1/3 and 34 1/3
The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be = n
Let the second number be = n + 1
Let the third number be = n + 2
So , the sum of all the three consecutive numbers is 100
Substituting the values in the equation , we get
n + ( n + 1 ) + ( n + 2 ) = 100 be equation (1)
On simplifying the equation , we get
3n + 3 = 100
Subtracting 3 on both sides of the equation , we get
3n = 97
Divide by 3 on both sides of the equation , we get
n = 32 1/3
So , the first number n = 32 1/3
Second number = n + 1 = 33 1/3
Third number = n + 2 = 34 1/3
Therefore , A = 32 1/3 + 33 1/3 + 34 1/3 = 100
Hence , The three consecutive numbers which have a sum of 100 is given by the equation A = 32 1/3 + 33 1/3 + 34 1/3
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can someone please tell me the slope
Answer:
1/3 or 0.333 repeat
Step-by-step explanation:
slope or rise over run
5x - 7 < 3(x - 3) whats the answer to this?
Answer:
X< - 1
Step-by-step explanation:
Which of the this is a mathematical translation of "A number increased by 7".
A. a + 7
B. 7 + a
C. 7a
D. 7/a
for almost every choice you make in the game you'll need to choose between using your debit card and credit card. to continue enter the day of month when your credit card statement will be issued! enter amount:
floridasms game
Answer: 19
Step-by-step explanation:
Write an expression that is equivalent to -2/5(15 - 20d +50)
Explain please!:)
Answer:
-26 + 4/5d
Step-by-step explanation:
-2/5 ( 15 - 2d + 50)
= -2/5 ( 65 - 2d)
= -2/5 * 65 - (-2/5) * 2d
= -26 - (-4/5d)
= -26 + 4/5d
PLS HELP WILL GIVE BRAINLIEST!! Identify this set of lines as parallel, perpendicular, or neither.
Answer:
neither
Step-by-step explanation:
Answer:
neither
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have the opposite of the reciprocal of the slope of the other line
The slope of the first line is 3 and the slope of the second line is -3.
If the lines were parallel, the slopes would be the same, so 3 = -3 which is not true, so they aren't parallel.
If the lines were perpendicular, the slope of the second line would be the opposite reciprocal of 3, or -1/3. -1/3 does not equal 3, so these lines are not perpendicular
Rafael was asked to construct a square inscribed in a circle. He drew a circle and
a diameter of the circle. Describe how to complete his construction. Then, complete
the construction.
Answer:
here you go
Step-by-step explanation:
in a triangle xyz the measure angle yxz is 14.5 and the measure of angle xyz is 75 what is the measure of angle xyz in degrees
the answer is 29363
Step-by-step explanation:
hope this dont help
Answer:
10392
Step-by-step explanation:
;$6%6%-%-:-$-&-'-$-
Find the unknown length x in the right triangle, to the nearest tenth .
Answer:
x = 11.7
Step-by-step explanation:
sin of an angle is opposite/hypotenuse
sin 38 = x/19
x = 19 sin 38
x = 11.7
You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.
Choose the inequality that represents the following graph.
Answer:
D: x ≥ -2
Step-by-step explanation:
The arrow points to the right on the number line, meaning the inequality uses the greater than sign.
The solid point at -2 means that -2 is included in the solution for x.
So, the final inequality is x ≥ -2.
A triangle has side lengths of 23 in, 32 in, and 54 in. Classify it as acute, obtuse, or right.
Answer:
Acute
Step-by-step explanation:
Solve for x!!! Please show all work!!!!!!!
Solve the following equation for x.
10x – 18 = 32
Write 360 as a product of prime factors.
Give your answer in index form.
Answer:
2³ × 3² × 5
Step-by-step explanation:
360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5
jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the loan. A)$693 B)$3,465 C)$34,650
Answer:
B
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.2%/100 = 0.042 per year,
then, solving our equation
I = 16500 × 0.042 × 5 = 3465
I = $ 3,465.00
The simple interest accumulated
on a principal of $ 16,500.00
at a rate of 4.2% per year
for 5 years is $ 3,465.00.
use the distance formula to find the distance between these two points (-8,-2) and (6,-1)
Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
if h=3, then r=
if r=2, then h=
Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
3 pencils cost $0.45. What is the cost per pencil?
Answer:
$0.15
Step-by-step explanation:
You have
3 pencils: $0.45
divide both numbers by 3
3 pencils / 3: $0.45 / 3
1 pencil: $0.15
Answer:
0.15
Step-by-step explanation:
3÷.45=.15
helppppp! :) i have no clue what to do thank you
Ashleigh wants to double her money. She put $5,000 in a bank account that pays 4% compounded continuously. How long will it take her to double her money? (Round to
Answer:
approximately 17.3 years
Step-by-step explanation:
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
The formula used to find continuously compounded is:
t = log (A/P) / r
The time it will take to double her money is 17.329 years.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $5,000
r = 4%
Amount = 2 x 5000 = $10,000
n = infinite number of times.
Now,
Solve the equation for t
The formula used to find for continuously compounded is:
t = log (A/P) / r
t = log (10,000.00/5,000.00) / 0.04
t = 17.329 years
Thus,
The time it will take to double her money is 17.329 years.
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y= -3x + 1 and y= x - 3
Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
Sajid wants to bake cupcakes and muffins. He wants to bake a total of at least 16 cupcakes and muffins
(condition A), and he has 9000 grams of sugar (condition B).
ni
The graph represents the constraints on the number of cupcakes C and muffins M Sajid bakes.
M
20
18
16-
А
14-
12
10
8-
6+
B
41
2+
С
2
4 6
8
10 12 14
18 20
Sajid bakes 3 cupcakes. How many muffins can he bake to meet both his constraints?
Answer:
At least 13 muffins and at most 16 muffins
David earned a raise of an additional $2.00 per hour. Initially, he started at $14.00 an hour. What is the percent increase in David’s hourly pay? Round percentage to the tenths place.
2.1%
Step-by-step explanation:
I don't really know how to explain what I did on paper But I got it right on the assignment : D
The percent increase in David’s hourly is;
14.3%
Percent increaseDavid's initial pay per hour = $14 per hourIncrease per hour = $2Thus;
New amount paid per hour = $14 + $2 = $16
Thus;
Percent increase in David's hourly pay = (2/14) × 100% = 14.3%
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SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
Rachel went out for lunch. Her total for lunch came to $28.55. Rachel wants to leave the waitress a 22% tip. What will be Rachel's total including the tip?
Answer:
the answer is 6.28 her total is 34.83
Answer:
the answer is 6.28 hope it helps
Josh and Raheem both invest some money.
Josh invests £1200 at Banks’R’us, who pay 4% simple interest per year.
Raheem invests £1250 at Bank World who pay 3% compound interest per year.
They invest the money for 5 years.
Who has the most money in their account after 5 years?
;v;
Answer:
Raheem
Step-by-step explanation:
Josh :
using simple interest formula :
Final amount = P(1 + rt)
Final amount = 1200(1 + 0.04*5)
Final amount = 1200(1.2)
Final amount = £1440
Raheem :
Using compound interest formula :
Final amount = P(1 + r/n)^nt
Final amount = 1250(1 + 0.03)^5
Final amount = 1250(1.03)^5
Final amount = £1449.09
Raheem has more money
Three numbers A, B and C are in the ratio 7: 2: 4. The sum of the three numbers is 104. What is the number C?
Answer:
C = 32
Step-by-step explanation:
The numbers are in the ratio 7 : 2 : 4 = 7x : 2x : 4x ( x is a multiplier ) , then
7x + 2x + 4x = 104
13x = 104 ( divide both sides by 13 )
x = 8
Thus C = 4x = 4 × 8 = 32
can u pls help me i need help
im on that to, maybe i can try and help you !!
