Answer:
A= 30 years old
B= 20 years old
Step-by-step explanation:
Let the present age of A be x years old.
Since the sum of the present ages of A and B is 60 years,
present age of B= (60-x) years old
In 5 years
A= x +5
B= 60 -x +5= 65-x
Since the ratio of A:B= 4:3,
A would represent 4 units and B would represent 3 units.
Thus [tex]\frac{3}{4}[/tex]A=B
[tex]\frac{3}{4}[/tex](x+5)= 65 -x
[tex] \frac{3}{4} x + \frac{15}{4} = 65 - x \\ \frac{3}{4} x + x = 65 - \frac{15}{4} \\ \frac{7}{4} x = 61.25 \\ 7x = 61.25 \times 4 \\ 7x = 245 \\ x = 245 \div 7 \\ x = 35[/tex]
Thus, present age of A
= x
= 35 years old
present age of B
= 60 -x
= 60 -35
= 25 years old
5 years ago
A= 35 -5= 30 years old
B= 25 -5= 20 years old
* under the section in 5 years, [tex]\frac{3}{4} A=B[/tex] because both would be equal to 3 units each. Since B is 3 units and A is 4 units, in order to make both value the same, we divide the 4 units of A by 4 then multiply by 3 to get 3 units. Thus, [tex]\frac{3}{4}[/tex] of A is equal to B.
Kate has a $75 gift card to a coffee shop. Each Friday, she purchases a latte for $5. She created a graph to represent the amount of money on her gift card each week. Does Kate's graph represent the situation? Why or why not? A. No, because the amount of money on her gift card should increase each week. B. Yes, because she starts with $5 on her gift card. C. No, because the graph should start at the origin D. Yes, because the amount of money on her gift card should decrease each week.
Answer:
D. Yes, because the amount of money on her gift card should decrease each week.
Step-by-step explanation:
The amount of money on the gift card decreases every Friday as it states in the problem.
Yes Kate's graph represent the situation, because the amount of money on her gift card should decrease each week. so option D is correct.
What is Graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
We can see that the graph shows that the slope is decreasing, if you got $75 and spend $5.00 each Friday, wouldn't that be decrease and Lastly, of course, they should not start at the origin as they started at $75.00.
The amount of money on the gift card decreases every Friday as it states in the given situation.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ2
Which is equivalent to 3 square root of 8 1/4 x
Answer:
3
√
33
x
2
Step-by-step explanation:
Simplify
(Something is wrong with my keyboard hopefully you can put this together I'm sorry)
This is the graph of f(x). Wha is the value of f(2)
Answer: 2
Step-by-step explanation:
They are saying that x equals 2, and the question is what the function is defined at when x = 2
Going to x = 2, the y value is just 2
The answer is 4.
f(2)=4
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
on average 6 km/h faster than Evan, calculate her average speed and the time taken
for the journey.
Answer:
Her average speed is 94 km/h
Time taken is 3.5 hours
Step-by-step explanation:
Let Evan’s average speed be x km/h.
now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h
Mathematically, time = distance/speed
so; since time is the same; we have
308/x = 329/(x + 6)
cross multiply
329(x) = 308(x + 6)
329x = 308x + 1848
329x-308x = 1848
21x = 1848
x = 1848/21
x = 88 km/h
Meghan average speed = x + 6 = 88 + 6 = 94 km/h
Time taken would be 329/94 = 3.5 hours
Justin Lowery is buying a condominium that sells for $ 120 comma 000. The bank is requiring a minimum down payment of 10%. To obtain a 20-year mortgage at 8.5% interest, Justin must pay 1 point(s) at the time of closing. What is the cost of the 1 point(s) on the mortgage?
Answer:
$10.25
Step-by-step explanation:
95/.1=9.5
9.5*9=85.5
85.5/8
=10.25
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
3/10
Step-by-step explanation:
There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10
P( green) = number of green / total
= 3/10
Consider the reduction of the complex figure with a scale factor of what is the area of the reduced figure?
42 mm
6 mm
28 mm Area = 1225 mm2
4 mm
mm
49
175
196
Intro
Done
For anyone here who comes from edge.
Consider the reduction of the complex figure with a scale factor of 1 /7 . What is the area of the reduced figure?
The answer is A ; 25 mm2. I got it right on edge
What are the odd numbers
Answer:
1,3,5,7,9....up to soon are odd numbers
Step-by-step explanation:
they are not divided by 2
Answer:
1,3,5,7,9
Step-by-step explanation:
Find the slope of the line that passes through (3, 7) and (6, 8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
Slope = 1/3
Step-by-step explanation:
Step 1: Define general form of equation of line
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
Step 2: Set up the system to solve for slope M of equation of line
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
Step 3: Solve the system of equations in step 2 for M
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
Answer:
[tex]slope = \frac{1}{3} [/tex]
Step-by-step explanation:
[tex](3 \: \: \: ,\: \: \: 7) = > (x1 \: \: \: ,\: \: \: x2) \\ (6 \: \: \: ,\: \: \: 8) = > (y1 \: \: \: \: , \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{7 - 8}{3 - 6} \\ = \frac{ - 1}{ - 3} \\ = \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which equation can be used to find 40 percent of 25? StartFraction 25 divided by 1 Over 40 divided by 1 EndFraction = StartFraction 25 Over 40 EndFraction StartFraction 100 times 4 Over 40 times 4 EndFraction = StartFraction 400 Over 16 EndFraction StartFraction 40 times 4 Over 25 times 4 EndFraction = StartFraction 160 Over 100 EndFraction StartFraction 40 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 10 Over 25 EndFraction
Answer:
d
Step-by-step explanation:
Answer:
I think it's D
Step-by-step explanation:
Sorry if im wrong.
also need help for this but dont need to much of a explanation
Answer:
Slope: 1/2
Step-by-step explanation:
Use rise over run.
Please mark BRAINLIEST! Thanks!
1 Point
Which of the following is a disadvantage of speaking your ideas rather than
writing them?
O
A. You are not able to express your emotions as easily.
B. You will not be able to correct spelling errors.
C. You cannot be casual and spontaneous when speaking,
D. You cannot plan ahead and organize your thoughts.
SUBMIT
Answer:
D.
Step-by-step explanation:
You cannot plan your thoughts if you are just thinking out loud.
if b=6, what is 12b
Answer:
72
Step-by-step explanation:
12b
Let b = 6
12*6
72
Answer:
72
Step-by-step explanation:
You have to take 12 times 6 because b=6.
so 12b=12 times 6
12 times 6= 72
Please answer correctly !!!!!!! Will mark brianliest !!!!!!!!!!
Answer:
22
Step-by-step explanation:
[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]
Hope this helps!
Can someone help me with this please
Which function has an inverse function?
A- F(x) = l x-4 l + 1
B- F(x) = 25x^2+70x+49
C- F(x) = x^4
D- F(x) = x+3/7
Answer:
D
Step-by-step explanation:
Of these four functions, D is the only one that has an inverse. The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.
Which expression is equivalent to 100 n^2 -1?
a) (10n)^2 -(1)^2
b) (10n^2)^2 -(1)^2
c) (50n)^2 -(1)^2
d) (50n^2)^2 -(1)^2
Answer:
a
Step-by-step explanation:
100n^2 = (10n^2)
-1 = -(1^2)
Answer:
So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.
Answer : AWhat are the two main methods for solving a system of equations?
Answer:
substitution, and 2) elimination
Step-by-step explanation:
Step-by-step explanation:
elimination
substitution
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
Linear or non linear
Answer:
linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
It has mathematical proportion
John goes to a restaurant and has a bill of $ 32. 57. He uses a 10% off coupon on the cost of his meal. The tax is 8%. He leaves a tip of 18% on the amount before the coupon or tax is applied. How much does he spend?
Answer: $36.97
Step-by-step explanation:
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because [tex]\frac{10}{100}=0.1[/tex]. Now do [tex]0.1 *32.57=$3.26[/tex]. This is the discount, so you want to subtract this from the original to get the actual price of the meal, [tex]32.57-3.26=29.31dollars[/tex].
The tax was 8% so this means he is adding it to his total cost instead of subtracting it. Do 0.08 of $29.31 to get $2.34. Add $2.34 to the now $29.31 to get $31.69.
The tip is also adding to the total cost, so do 0.18 of $29.31 to get $5.28. Add $5.28 to $31.69 to get $36.97
Answer:
$37.51
Step-by-step explanation:
Original cost of meal is $32.57.
Since he has a coupon for 10% off, he pays for 90% of the cost of the meal.
90% of $32.57 = 0.9 * $32.57 = $29.31
Now he pays tax on the new discounted total. Let the new total be called 100%. Since he pays 8% tax, he needs to pay 108% of the new total.
108% of $29.31 = 1.08 * $29.31 = $31.65
He adds a tip of 18% of $32.57.
The tip amount is
18% of $32.57 = 0.18 * $32.57 = $5.86
The total is: $31.65 + $5.86 = $37.51
3. Un cubo de madera se pinta y luego se divide en 27 cubitos iguales, de estos nuevos cubos ¿Cuántos tienen pintadas 3 caras? a. 1 cubito b. 12 cubitos c. 8 cubitos d. 10 cubitos
Answer:
c. 8 cubes
Step-by-step explanation:
In this case if the original cube was divided into 27 equal smaller cubes, the way to do this is each top side divide it into 9 parts and then make 3 cuts down, so they would have 27 equal cubes.
The case that 3 faces are painted would be 8, because with this condition it would only be the corner cubes, the cube would have 4 lower corners and 4 upper corners, therefore 8 cubes would have 3 painted faces
PLEASE HELP!
Solve by completing the square
x^2+8x = -20
Answer: x= -4+/- 2i
Step-by-step explanation: Used the formula (b/2)^2 to create a new term. I solved for x.
FYI
+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!
what is -14x-7 idk I have tried everything
______________________________
Hey!!
Solution,
-14x-7
take the common
Answer: -7(2x+1)
Hope it helps
Good luck on your assignment
__'________________________
Answer:
i think its -2
Step-by-step explanation:
distribute and find the x
Las personas que venden computadoras en una tienda local ganan $100 en comisión por computadora por las primeras 5 computadoras que venden cada mes. Por cada computadora adicional que venden durante ese mes, la comisión por computadora es 1.5 veces la tarifa por las primeras cinco. ¿Cuál de las siguientes es la comisión total que gana una persona que venda 8 computadoras en un mes?
A. $190
B. $800
C. $950
D. $1,050 E. $1,200
Find the number missing from the following equivalent fractions: 12/16= 3/?
Answer:
4
Step-by-step explanation:
Whatever you multiply or divide to the numerator, you do to he denominator.
Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
In this question we are presented with [tex]\frac{12}{16}[/tex] and we want to simplify to have a numerator of 3. When simplifying fractions it's important to do the operation on both the numerator and the denominator so,
[tex]\frac{12}{16}[/tex] → Half the numerator and the denominator → [tex]\frac{6}{8}[/tex] → Half the numerator and the denominator again → [tex]\frac{3}{4}[/tex]
What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot
[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
The product of the given expression is;
B: 10x^(5) • y√(6xy)
Laws of ExponentsWe are given the expression;
√(5x^(8) • y²) × √(10x³) × √(12y)
Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)
Thus, our given expression will be;
√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]
Collecting like terms, we will have;√[(5x^(8) × 10x³) × (y² × 12y)]
This now gives;√(50x¹¹ × 12y³)
>> √(600x¹¹y³)
Now, further break down of this gives;
10x^(5) • y√(6xy)
Read more about Laws of exponents at; https://brainly.com/question/11761858
what is (13X + 9k)+(17x +6k), simplified?
Answer:
(45x)
Step-by-step explanation:
(13x+9x) + (17x+6x)
(22x) + (23x)
(45x)
// have a great day //
CAn someone please help
no. of squares=90
no. of toothpicks=(89*3)+4
=271
rule of patern = 4+3+3...
no. of toothpicks=1000
no. of squares= (996÷3)+1
= 333
George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George have in his account in five years
Answer:
$1475.40
Step-by-step explanation:
Since the interest is two times per year for 5 years, do this 10 times:
1) 750*0.07=52.5
750+52.5=802.5
2) 802.5*0.07=56.18
802.5+56.18=858.69
3) 858.69*0.07=60.11
858.69+60.11=918.79
4) 918.79*0.07=64.32
918.79+64.32=983.11
5) 983.11*0.07=68.82
983.11+68.82=1051.93
6) 1051.93*0.07=73.64
1051.93+73.64=1125.57
7) 1125.57*0.07=78.79
1125.57+78.79=1204.36
8) 1204.36*0.07=84.31
1204.36+84.31=1288.67
9) 1288.67*0.07=90.21
1288.67+90.21=1378.88
10) 1378.88*0.07=96.52
1378.88+96.52=1475.40
