Answer:
6 runners finished the race
Step-by-step explanation:
Total number of runners = 54
In the first half of the race, 1/3 of them dropped out
= 1/3 of 54
= 1/3 * 54
= 54/3
= 18 runners
Runners remaining after first half = total runners - dropped out runners at first half
= 54 - 18
= 36 runners
In the second half of the race, 5/6 of the remaining runners dropped out
= 5/6 * 36
= (5*36)/6
= 180/6
= 30 runners
Runners remaining after second half = runners remaining after first half - dropped out runners at second half
=36 - 30
= 6 runners
Therefore, 6 runners finished the race
two angles of a triangle measure 29 degrees and 12 degrees what is the measure of the third angle?
Answer:
The measurement of the third angle would be 139 degrees.
Step-by-step explanation:
Using the triangle sum theorem, you already know that all interior angles of a triangle add up to 180 degrees. So since you already have two angle measurements, all you have to do is add them together and subtract them from 180 degrees. In this case it is 29+12, which equals 41. Now you subtract that from 180 and get 139.
I hope this helps!
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 years, without depositing money to it or withdrawing money from it. At the end of the 4 years, how much interest in dollars and cents did the account earn? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
$1105
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year,
then, solving our equation
I = 6500 × 0.0425 × 4 = 1105
I = $ 1,105.00
The simple interest accumulated
on a principal of $ 6,500.00
at a rate of 4.25% per year
for 4 years is $ 1,105.00.
The interest in dollars and cents did the account earn should be considered as the $1,105.
Calculation of the interest in dollars:Since deposited amount is $6,500
The interest rate should be 4.25%
The time period is 4 years
So here the interest should be like
= ($6,500) (4.25%) (4)
= $1,105
hence, The interest in dollars and cents did the account earn should be considered as the $1,105.
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1 Jesy invests £8000 for n years in a savings account.
To find the value, V, of her investment after n years she uses the formula:
V = 8000 × (1.025)n
(a) Write down the annual rate of interest Jesy earns.
(b) Find the total amount of interest Jesy earns in three years.
(Total for question 1 is 3 marks)
Answer:
2.5% , $8608
Step-by-step explanation:
Given data
From the given the expression V = 8000×(1.025)^n
The rate is given as
2.5%
For n= 3
The total amount is
V = 8000 × (1.025)^3
V= 8000*1.076
V= $8608
Hence the final amount is $8608
additive inverse of 3x - 6.
Answer:-3
Step-by-step explanation:
If x= -3 is one solution of x2 + 9x + 18, what is the other solution?
Hola me podrían ayudar por favor. Convertir las fracciones a decimales y ubicar a los decimales en la recta numérica. a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 d. -7/4
Answer:
Step-by-step explanation:
a decimal
2/3 = 0.7
8/5 = 1.6
-5/2 = -2.5
7/4 = 1.8
9/2 = 4.5
-11/3 = -3.7
13/5 = 2.6
-7/4 = -1.8
Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.
- ________________________________________________________ +
| | | | | | | | | | | | | | | | | | |
-5 -4 -3.7 -3 -2.5 -2 -1.8 -1 0 0.7 1 1.6 1.8 2 2.6 3 4 4.5 5
A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$
Joe is straight into running a half marathon in too much this week he ran 1,200,000 km on Monday 2400 m on Wednesday and 4.6 km on Friday what is the total distance in kilometer that he ran this week
Answer:
1202404.6
Step-by-step explanation:
1,200,000 + 2400 =1202400
1202400 + 4.6 = 1202404.6
3 1/3 x 3 =??
Not quite understanding
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
PLEASE I NEED HELP!
which is the simplified rational expression for r^2-4r+5/r-4 - r^2+2r-8/r-4
C is incorrect!
Answer:Complete the statements.
When r = 2, the first expression is . 6
When r = 2, the second expression is 6.
When r = 5, the first expression is 21.
When r = 5, the second expression is .
The expressions are not equivalent. 12
Step-by-step explanation:
i got it right on e d g e n u i t y
Step-by-step explanation:
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!
Answer:
there is the answer let me now if i was right
Step-by-step explanation:
In the accompanying diagram of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 25 and CB = 10, what is the length of DB? (if you don’t know dont answer)
Answer:
The answer is 15
Step-by-step
if that didnt work sorry
plzzzz helppp I need answer
Answer:
[tex] \huge \: 250 \: mL[/tex]
Step-by-step explanation:
tips and formulas:1 L=1000mLgiven:amount:1 L 500mLdistributed in 6 glasseslet's solve:1 L =1000 mL
1L 500 mL =1000+500 mL
=1500 mL
juice in 6 glasses 1500 mL
juice in 1 glass 1500÷6 mL
=250 mL
Factorise x + 5x + 6
Answer:
6x+6
Step-by-step explanation:
Combine like terms:
x + 5x +6
6x+6
6x+9=-12
Can someone help me with this question
Answer:
-7/2
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
Hope it helps
Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C
Answer:
The answer is option A. Since you would be paying 0.10 for each bag.
The solution is Option A.
The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10
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 cost of each bag be represented as A
Now , the equation will be
a)
$0.90 for 9 bags of chips
The cost of 9 bags = $ 0.90
The cost of 1 bag A = The cost of 9 bags / 9
Substituting the values in the equation , we get
The cost of 1 bag A = 0.90 / 9
On simplifying the equation , we get
The cost of 1 bag A = $ 0.10
b)
$0.84 for 7 bags of chips
The cost of 7 bags = $ 0.84
The cost of 1 bag A = The cost of 7 bags / 7
Substituting the values in the equation , we get
The cost of 1 bag A = 0.84 / 7
On simplifying the equation , we get
The cost of 1 bag A = $ 0.12
c)
$1.50 for 5 bags of chips
The cost of 5 bags = $ 1.50
The cost of 1 bag A = The cost of 5 bags / 5
Substituting the values in the equation , we get
The cost of 1 bag A = 1.50 / 5
On simplifying the equation , we get
The cost of 1 bag A = $ 0.30
Therefore , the 0.10 < 0.12 < 0.30
Hence , the cost of $0.90 for 9 bags of chips is the best deal
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Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
Andy is buying a car
he negotiated a 7% decrease on a £6 500 car
he will pay the full balance in 12 equal month payments
calculate the amount paid each month
Answer:
£503.75 per month
Step-by-step explanation:
7% decrease on a £6,500 car
= 7% of 6,500
= 7/100 * 6,500
= 0.07 * 6500
= £455
Amount of the car = £6,500 - £455
= £6,045
he will pay the full balance in 12 equal month payments
Amount paid each month = £6,045/12 months
= £503.75 per month
Answer:
7% decrease on a £6,500 car
= 7% of 6,500
= 7/100 * 6,500
= 0.07 * 6500
= £455
Amount of the car = £6,500 - £455
= £6,045
he will pay the full balance in 12 equal month payments
Amount paid each month = £6,045/12 months
= £503.75 per month
Step-by-step explanation:
2 x + 6 = 10
solve for x
Answer:
x=2
Step-by-step explanation:
2x2=4
4+6=10
Answer:
x=2
Step-by-step explanation:
with questions like this do the inverse
10-6=4
4÷2=2
2=x
i hope this helped xx
Please help me???????
Answer:
i can't see it
Step-by-step explanation:
if you know what’s going on pls help thanksss
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to
Eve took one of her friends out to lunch. The lunches cost $100 and she paid 3% sales tax. If
Eve left a 15% tip on the $100, how much in total did she pay?
Someone please help with these and explain your answer for both!!! I will give brainliest if correct!!!
Answer:
C
Step-by-step explanation:
We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.
C. is the answer
2 givens and then we have CB = CB which is the reflexive property. I haven't heard of (definition of midpoint) but as long as there aren't any more answers except the 3 shown above it should be correct.
7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}
B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}
C) {(1,5), 7,2), (9,1), (9,7), (2,7)}
D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}
Answer:
a
Step-by-step explanation:
to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's
The dimensions of an actual swing set are shown. You want to create a scale model of the swing set for a dollhouse using similar triangles. Sketch a drawing of your swing set and label each side length. Then write a similarity statement for each pair of similar triangles and state the scale factor you used to create the scale model.
The dimensions of the scaled drawing are half the lengths of the dimensions of the original drawing
What are scaled drawings?Scaled drawings are diagrams that shows the image of an object drawn in a reduced or enlarged proportional size.
How to determine a scale ratioIf the diagram is to be enlarged, then the scale ratio will be greater than 1.
However, smaller diagrams will have a scale ratio less than 1
In this case, we make use of a scale ratio of 0.5 or 1/2
This means that, the scaled drawing will have its lengths to be half of the original drawing
See attachment for the original drawing and the sketch of the scaled drawings
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Point (1,3) Slope: 2
Answer:
y=2x+1
Step-by-step explanation:
(1,3). y=mx+b or 3=2 × 1+b, or solving for b: b=3-(2)(1). b=1
You want to purchase multiple books on sale for $6.30. The sales tax is 5% and you have $20. At most, how many books can you buy?
Answer:
3 books
Step-by-step explanation:
Assume x is the number of books you could buy.
(1+0.05)(6.3x) ≤ 20
1.05(6.3x) ≤ 20
6.615x ≤ 20
x ≤ 3.02
Answer:
the awnser is 3 books yiu can buy
After a 60% reduction, you purchase a new sofa drink machine on sale for $312.
What was the original price of the sofa drink machne?
Evaluate 52. Check all that apply.
The base is 5.
The exponent is 2.
The expanded form is 2 × 2 × 2 × 2 × 2.
The expanded form is 5 × 5.
52 = 25
52 = 32
Answer: a, b, d, e
Step-by-step explanation: just got it right on edge 2021
Answer:
a,b,d,e
Step-by-step explanation:
Ed buys a box of eggs costing £2.80, two packs of bacon for £2.40 each and two tins of baked beans. He pays with a £10 note and gets 80p change. How much does a tin of beans cost in pounds, £?
Answer:
£0.8
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
Hence,
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.6 / 2
x = 0.8
Hence, a tin of baked beans cost £0.8
Answer:
£0.80
Step-by-step explanation:
egg = 2.80
Bacon = 2 * 2.40 = 4.80
Baked beans = 2 tins
Amount issued = 10
Change obtained = 80p = 0.8
Let cost per baked beans = x
lol
2.80 + 4.80 + 2x = 10 - 0.8
7.60 + 2x = 9.20
2x = 9.20 - 7.60
2x = 1.6
x = 1.60 / 2
x = 0.80
YES WE GOT IT, a tin of baked beans cost £0.80