Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
PLS I NEED HELP ASAP
Answer:
Answer C
.....,.................
Can anyone help me I’m struggling with this I would appreciate
Can someone please help me with this ? Dew in 5 mins .. I clicked the first answer on accident btw ..
Answer:
B The equation is 4x = -48. Ben's point total is -12.
Step-by-step explanation:
Ben's total + Olive's total = -48
x + 3x = -48
4x = -48
x = -48 ÷ 4
Ben's total (x) = -12
Answer:
D
Step-by-step explanation:
If the Olive's is 3 times x, this can be written as 3x. Ben's score is just x. Combine those to get the equation 4x=-48. Divide to get x=-12
Hope that makes sense!
Mr. Lin writes the expressions
-20 - 8 and 8 - (-20) on the board.
He asks his class which result is greater. How can his class decide without finding
the value of each difference?
Answer:
Just see that the first expression has all negative, meaning the total will be a negative, but the second expression the subtraction sign and the negative sign are together, there's a rule when two negative sign's are together/next to each other, they turn into a addition sign, so it basically 8 + 20 for the second expression, so 8-(-20) has a higher result
Step-by-step explanation:
There's no work needed to be done :P
The first one will be all negative and the second one will be all positive
Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?
Step-by-step explanation:
h = 64t - 16t².
When the ball reaches the ground, h = 0.
Therefore 64t - 16t² = 0, 16t(4 - t) = 0, t = 0 or t = 4.
Therefore the ball reaches the ground 'again' at t = 4.
Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale for 30% off the regular price. The sales tax is 7%.
What is the sales tax?
Answer:
8.68
Step-by-step explanation:
just multiply 124.00 times 0.07 and that's it
If a recipe calls for 2 tablespoons of fresh parsley and you only have dried parsley on
hand, how much parsley should you use?
Answer:
2.666
Step-by-step explanation:
Just use a third the amount your recipe calls for if you're swapping dried herbs for fresh.
Gino and Milla each open a savings account with an initial deposit of $6,300. Gino's account pays 2% simple interest annually. Milla's account pays 3% simple interest annually. If Gino and Milla make no other deposits or withdrawals, how much more interest will Milla's account earn than Gino's after 1 year?
Answer:
Milla's account would earn $63 more that Gino's account after 1 year.
Step-by-step explanation:
Both Gino and Milla made an initial deposit of $6300.
Principal = $6300
Gino's rate = 2% = 0.02
Milla's rate = 3% = 0.03
number of years = 1
Interest = Principal x Rate x Time
So that,
for Gino;
Interest = 6300 x 0.02 x 1
= 126
The interest on Gino's savings after a year is $126.
for Milla;
Interest = 6300 x 0.03 x 1
= 189
The interest on Milla's savings after a year is $189.
Milla's interest - Gino's interest = 189 - 126
= 63
Milla's account would earn $63 more that Gino's account after 1 year.
Which is the graph of y – 3 = (-2/3)(x + 6)?
Answer:
The points are on (-1.5,0) and (0,-1)
Step-by-step explanation:
Hope this helps!
Brain-List?
QUESTION 15!1!!11!JAKQKQKAKAKS
Answer:
2 groups of 3 boys = 6
Step-by-step explanation:
A dog eats 7 oz. Of dog food in 20 minutes. At this rate, how much food can the dog eat in 2 hours?
Answer:
bts
Step-by-step explanation:
BTSSS SSSSSSSTU6T
I need help! 6th grade math! ASAP! Only 1 and 3. 10 Points each!
Answer:
1. (0,5) (16,21) (20,25) (36,41) (55,60)
Step-by-step explanation:
Hope this helped you!! Give brainliest
Answer:
nnrrharthtghgdzhgdhth
Step-by-step explanation:
2. What is the slope of the line that passes through the points M(-5,0) and N (6,8)?
Answer:
Hi how are you doing today Jasmine
The slope of the line that passes through the given points M(-5, 0) and N (6, 8) is [tex]\frac{8}{11}[/tex]
Given the following points:
Points on the x-axis = (-5, 6) Points on the y-axis = (0, 8)To calculate the slope of the line that passes through the given points M(-5, 0) and N (6, 8), we would use the following formula;
The slope of a line can be defined as the gradient of a line.
Hence, a slope is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{8 - 0}{6 - [-5]}\\\\Slope. \;m = \frac{8}{11}\\\\Slope. \;m = \frac{8}{11}[/tex]
Read more: https://brainly.com/question/14096662
can i have help plz i rally need it
Can anybody do this for me please
Answer:
it very simple actually, just do it what its saying from any point it wont really matter youll still get it right
Step-by-step explanation:
A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%
Answer: H - 50%
Step-by-step explanation:
The percentage markup on the textbook on the given percentage will be 50%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of a textbook = $28
Selling price = $42
% markup = (42 - 28)/28 x 100 = 50%
Hence "The percentage markup on the textbook on the given percentage will be 50%".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
What is the sum of first k+1 even numbers
Answer:
[tex]Sum = (k+1)(k+2)[/tex]
Step-by-step explanation:
Given
k + 1 even numbers
Required
Their sum
This question will be solved using the sum of nth term of an AP
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]
Where
a = the first even number
[tex]a = 2[/tex]
n = number of terms
[tex]n =k +1[/tex]
d = difference between consecutive even numbers
[tex]d = 2[/tex]
So, the expression becomes:
[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]
[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]
[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]
[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]
Factorize 4 + 2k
[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]
[tex]Sum = (k+1)*(2 + k)[/tex]
[tex]Sum = (k+1)*(k+2)[/tex]
[tex]Sum = (k+1)(k+2)[/tex]
Please help!
Stephen had his scooter repaired for a total of $90. The cost for the parts was $25. The cost for the labor was $15 an hour. If h represents the number of hours, which of the following shows an equality between two different ways of expressing the total cost of Stephen's scooter repairs?
A. 40h = 90
B. 15 + 25h = 90
C. 90 + 25h = 15
D. 15h + 25 = 90
Answer: D
Step-by-step explanation:
Answer:D
Step-by-step explanation:
...
I need help with this
A drawing has a scale of 1:40 on the drawing a bedroom is a rectangle measuring 10 cm x 18 cm a kitchen has an actual area of 300,000 cm² which has the bigger actual area of the kitchen or the bedroom
Answer:
The kitchen has a bigger actual area than the bedroom
Step-by-step explanation:
Here, we want to know the compartment with the bigger area
Since the bedroom has a drawing measure of 1 to 40; compared to the actual measurement;
The real dimensions will be;
10 * 40 and 18 * 40
= 400 by 720
So, its area which is length * width will be;
400 cm * 720 cm = 288,000 cm^2
we can see that the kitchen with an area of 300,000 cm^2 is bigger than this area of the bedroom
The ratio of plastic bags to paper bags in a grocery store was 5/7. There were 276 bags. How many were plastic bags?
Answer: 115 bags
Step-by-step explanation: 115/161 eqauls 5/7
PLS HELP!!! I WILL MARK!!!
(-9, 9)
(-6, 4)
(-3,-1)
(0,-6)
9,4,-1,-6
Answer:
See Explanation
Step-by-step explanation:
[tex]f(x) = - \frac{5}{3} \times - 6 \\ \\ \begin{vmatrix} x & \: \: \: \: \: \: f(x) \\ \\ - 9 & \: \: \: \: \: \: \boxed{9 }\\ \\ - 6 & \: \: \: \: \: \: \boxed4\\ \\ - 3 & \: \: \: \: \: \: \boxed{- 1}\\ \\ 0 & \: \: \: \: \: \: \boxed{- 6 }\end{vmatrix}[/tex]
What is the value of r in the equation −43r−1=−2 ?
Answer:
r = 1/43
-43r = -2 + 1
43r = -1
r = -1/-43
r=1/43
|-4 + 3| · 8.
iiiiiiiiiiiii nnnnnnnnnnneeeeeeeeeeeeeddddddddddd hhhhhhhheeeeeeelllllllllllllpppppppp nnnnnnnnnooooooowwwwwwwww!!!!!!!!!!!!!11
Answer:
8
Step-by-step explanation:
-4+3=-1
|-4+3|=1
|-4+3|•8=8
(|) the vertical line represent absolute value if it is a negative number inside the vertical lines it gives a positive number
Examples:
|-1|=1
|-4|=4
Hope you understand
Answer:
bruh are you seriously in 5th grade?
Step-by-step explanation:
Ez it's -1·8
IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS
Answer:
what is l and multiply l by 4 my guy
Step-by-step explanation:
Answer:
x = 25
<HKL = 102
Step-by-step explanation:
<LKH + <HKJ = 180 since the two angles form a straight line
<LKH + <HKJ = 180
4x+2 + 78 = 180
Combine like terms
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x= 100
Divide by 4
4x/4 = 100/4
x = 25
<LKH = 4x+2 = 4*25 +2 = 100+2 = 102
What is$$\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}?$$
Answer:
[tex]\frac{39}{70}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}[/tex] we are to find the value of x as shown below;
[tex]\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}\\= \dfrac{\dfrac{6-5}{30} }{\dfrac{4+3}{12} } + \dfrac{1}{2}\\\\= \dfrac{\dfrac{1}{30} }{\dfrac{7}{12} } + \dfrac{1}{2} \\\\= \frac{1}{30} * \frac{12}{7} + \frac{1}{2}\\\\= \frac{2}{35} + \frac{1}{2} \\\\= \frac{4+35}{70} \\\\= \frac{39}{70}[/tex]
help please lol lol lol
Answer:
C
Step-by-step explanation:
Answer:
i think its C
Step-by-step explanation:
lol
f(x) = (1/6)^x for x =3
Answer:
1/216 is the answer hope it's right
On Thursday, 300 adults and children attended a show. The ratio of adults to children was 4 to 1. How many children attended the show?
Answer:
plz make it brainlisted
Step-by-step explanation:
Since the total is 300 and the ratio is 4:1,
Let us suppose the number of adults be 4x and children be x;
According to the question,
4x+x=300
or,5x=300
or,x=(300/5)
or,x=60
So, 60 students attended the show.
Answer:
75
Step-by-step explanation:
4:1 children meaning 1/4 of the population of 300 is 75
A hockey player has a total record of 90 points earned based on goals and assists. If his ratio of goals to assists is 7:3, how many goals did he get?
Answer:
[tex]63[/tex] goals
Step-by-step explanation:
Given information:
Total points earned from goals and assists = [tex]90[/tex]
Goals : assists = [tex]7:3[/tex]
Finding the number of goals:
Goals [tex]=\frac{7}{3+7}\times90[/tex]
[tex]=\frac{7}{10}\times90[/tex]
[tex]=63[/tex]
∴ The hockey player earned [tex]63[/tex] goals.
Hope this helps :)