Answer:
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
Step-by-step explanation:
The computation of their current age is shown below:
Let us assume that the current age of the daughter is x
And, the current age of the mother be 2x
Now nine years ago, their ages would be
daughter age is x - 9
And, the mother age would be 2x - 9
Now the equation would be
x - 9 + 2x - 9 = 30
3x - 18 = 30
3x = 30 + 18
3x = 48
x = 48 ÷ 3
x = 16.
Therefore
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
what is the missing value in the table below?
The missing number in the given table is 180 minutes.
To find the value of x in the equation 2/120 = 3/x, we can use cross multiplication.
First, we multiply both sides of the equation by 120
(2/120) * 120 = (3/x) * 120
To simplify, we have:
2 = 3 * (120/x)
2/3 = (120/x)
To solve for x, we can multiply both sides of the equation by x:
(x) * (2/3) = (120/x) * (x)
2x/3 = 120
To isolate x, we can multiply both sides of the equation by 3/2:
(2x/3) * (3/2) = 120 * (3/2)
x = 180
Therefore, the value of x in the equation 2/120 = 3/x is x = 180.
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A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 50 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds). What does u(t) equal?When does the mass first return to its equilibrium position? (What does t in seconds equal?)
Answer:
Step-by-step explanation:
Given that:
mass m = 100 g = 0.1 kg
Length of the spring = 5 cm = 0.05 m
The set in motion from the equilibrium position u(0) = 0
The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s
The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]
The equation of the system is expressed as:
[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]
By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]
Thus; the general solution is:
[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]
By applying the initial condition:
u(0) = 0
⇒ 0 = [tex]c_1[/tex]
∴
[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]
u'(0) = 0.5
0.5 = 14 × c₂
c₂ = 0.5/14
c₂ = 1/28
∴
[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]
Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.
Craig wants to use an elevator to carry identical packages having the same weight. Each package weighs 4 pounds and Craig weighs 90 pounds. If the elevator can carry a maximum of 330 pounds at a time, which inequality shows the maximum number of packages, n, that Craig can carry with himself in the elevator if he is the only passenger?
Answer:
90+4n less than or equal to 330
Step-by-step explanation:
since craig weighs 90 pounds. he will be a constant weight
Since each package weighs 4 pounds, the variable will be 4n
The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side
the final equation will be:
90+4n less than or equal to 330
Biologists tagged 134 fish in a lake on January 1. On February 1, they returned and collected a random sample of 56 fish, 14 of
which had been previously tagged. On the basis of this experiment, approximately how many fish does the lake have?
Answer:
There should be 120 fishes approximately in the lake
Which one is an expression, which one is an equation, or neither? Picture below
Answer:
Check Explanation
Step-by-step explanation:
5b = 25 (equation)
5b (neither)
5(3+4) (expression)
Hii what’s the answer???
Answer:
d
Step-by-step explanation:
please help it’s timed
Find the slope of the line
Answer:
WE{OFGiuhu argoih
Step-by-step explanation:
Answer:-3
Step-by-step explanation:
y2-y1/x2-x1=m
-3-3/6-4=-6/2=-3
How many different 3-digit numbers can you write if you may use only the digits 2, 5 and 7, each of them no more than once?
Answer:
dream is cool................
Pls answer this I’m begging you I will give a brainless if you answer correctly and professionally
Answer:
answer big no l
x=-6
y=10
Step-by-step explanation:
answer of 4
x 30
Answer:
Step-by-step explanation:
1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )
8x - 4 = 180
8x = 184
x = 184 / 8
x = 23°
y = 3x - 8 ( vertically opposite angles )
y = 3 × 23 - 8
= 69 - 8
= 61°
4) 5 x + 7 = 2x + 97 ( vertically opposite angles )
5x - 2x = 97 - 7
3x = 90
x = 90 / 3
x = 30°
Hope this helps
plz mark as brainliest!!!!!
PLZ HELP I BEG YOU !!!!!!!!!!1
Answer:
The Answers are right under you.
Dianna and lucile walked to their granfather's house to visit him. It took them 2/5 of an hour to get there and 1 ½ hours to get back home. How much time did they spend in going both ways?
What is asked? __________
What are given? __________
Write the mathematical sentece________
Solution and answer _______
Answer it please
how to do it and the answers are above
i hope this help you
if you don't understand, please comment ✔️✔️✔️
Answer:
1h 54 mins
Step-by-step explanation:
What is asked? : time did they spend in BOTH ways
What are given? : time they go and back
Write the mathematical sentece :
[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]
Solution and answer : (24) + (90) = 114 mins
= 114 mins - 60 mins
= 1h 54 mins
Find all the factor pairs for 84 and complete the equations.
84 =
X 84
84 = 2 x
84 = 3 x
84 = 4 x
84 = 6 x
84 =
X 12
Eva is picking fruit at a farm. The fees are $5 for entry to the farm, $2.50 per pound of blueberries, and $2 per pound of apples she picks to take home. Let b be the number of pounds of blueberries and a be the number of pounds of apples Eva picked. Which of the following expressions could represent how much Eva pays?
I'm just curious
Answer:
The required expression is: [tex]y = 5 + 2.50b + 2a[/tex]
Step-by-step explanation:
Given
[tex]Entry = \$5[/tex]
[tex]Blueberry = \$2.50[/tex]
[tex]Apple = \$2[/tex]
Required
Write an expression for this scenario
If 1 pound of blueberry cost $2.50
then b pounds = 2.50 * b
If 1 pound of apple cost $2
then a pounds = 2 * a
The required expression (y) is then calculated as
[tex]y = Entry\ Fee + Blueberry = Apple[/tex]
[tex]y = 5 + 2.50 * b + 2 * a[/tex]
[tex]y = 5 + 2.50b + 2a[/tex]
Hence, the required expression is: [tex]y = 5 + 2.50b + 2a[/tex]
why does cutliest give me wrong answers =(
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
Answer:
man the answers are 40 10 30
Step-by-step explanation:
If x = 4, what is the value of 4/5 (2 + 7) − 2/3 (2 + 7)?
A 2
B 5
C 15
D 22
Answer:
d=56
Step-by-step explanation:
A candy store sells caramels for $9/pound and chocolate for $12/pound. How much more is the cost of 2 pounds of caramel than 1.5 pounds of chocolate? *Show your work*
Answer:
The caramel is $0 more than the chocolate. In other words, they cost the same.
Step-by-step explanation:
Since we have 2 pounds of caramel and caramel costs $9/pound, the cost of 2 pounds of caramel can be found by this equation:
2lbs · $9 = $18
Since we have 1.5 pounds of chocolate and chocolate costs $12/pound, the cost of 1.5 pounds of chocolate can be found by this equation:
1.5lbs · $12 = $18
To find how much bigger the cost of caramel is than that of chocolate, we will subtract the total cost of the chocolate from the total cost of the caramel.
$18 - $18 = $0
Select the scenario below that demonstrates sampling bias. Select the correct answer below:
A. Justin wants to estimate the ethnic background distribution of residents of his town. He collects data from 1000 randomly selected town residents by using a random number generator.
B. To estimate the mean salary of accountants at her bank, Patricia collects data by recording the salaries of all accountants included in 12 randomly selected bank sites.
C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.
D. To estimate the mean satisfaction level of coworkers at her company, Annie collects data by recording the satisfaction level of every 25th coworker on the list of coworkers after a randomly selecting first coworker.
Answer:
C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.
Step-by-step explanation:
Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.
'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.
Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance. Hence, this is Sampling Bias
Is he sus or WHAT? I saw him venting
Answer:
He is so sus.... and cute! ^-^
Step-by-step explanation:
The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an equation or inequality to find the value of x.
Answer:
Step-by-step explanation:
2( 2x + 6 ) + 2( x - 3 ) ≤ 66
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
12
Step-by-step explanation:
that is the answer
During November, $83 was spent on travel. In December, $65 was spent on travel. How much was the percent of decrease? Round to the nearest tenth of a percent.
Pls Help
Answer:
Percent decrease is 21.7%
Step-by-step explanation:
The percent decrease is calculated as:
[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]
Given in the question that:
Cost on travel during November = $83
Cost on travel during December = $65
The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.
[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]
Now, for percentage decrease
[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]
Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%
Hence,
Percent decrease is 21.7%
4
Find the y-intercept of the line shown on the coordinate plane.
11
Your answer is 4.
The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.
The lengths of the sides of a triangle are in the extended ratio 7: 9 : 10. The perimeter of the triangle is 52 cm. What are the lengths of the sides?
Answer:
14 cm, 18 cm, 20 cm
Step-by-step explanation:
7x + 9x + 10x = 26x
equation: 26x = 52
divide each side by 26: x = 2
7 * 2 = 14
9 * 2 = 18
10 * 2 = 20
check if answer is right: 14 + 20 + 18 = 52
I hope this helped, please mark Brainliest thank you so much!!
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.
I'm not that good at math
2. Suppose you save $2000 in a bank account that earns an annual interest rate of 1.2% compounded
continuously.
(a) How much money would be in the account after 5 years?
Answer:
0.06 is answer of this puestion
3x+8
What is the solution of
3x+8 /X-4>_
0?
oxs-orx>4
x 8
*<-3 or x>4
Osx<4
0 - 3 < x <4
Answer:
a
Step-by-step explanation:
The solution of the inequality 3x + 8 / (x -4 ) ≥ 0 is x≥ -8/3.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality,
3x + 8 / (x -4 ) ≥ 0
Now, simplifying the inequality
3x + 8 ≥ 0
3x ≥ 0-8
3x ≥ -8
x ≥ -8/3
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HELP ME PLSS!!!
The coordinate points below show part of data collected by a computer company interested in how fast people type as they get older, where x is age in years and y is typing speed in words per minute.
(5, 12), (13, 25), (12, 22), (18, 45), (15, 39), (15, 32), (16, 33), (17, 40), (7, 17)
If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.
Answer:
I think that it is no.
Step-by-step explanation:
Becasue 15, 39 is more than the 16, 33
Part B
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
96
Answer:
I think the answer is 96%.
Answer:
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? the bill would be $27.31, after the tip, $32.24, meaning the tip would be $4.93, and that percentage would be %18.05
Step-by-step explanation:
8 percent of 25.30 is 2.01, add that up, 27.31, subtract 27.31 from 32.24, you get 4.93, figure out the percentage and boom, you got your answer
Also the explanation:)
Answer:
276 guests were at the wedding.
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]
1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.