Answer:
The number is 2
Step-by-step explanation:
To attempt this question, we need to represent the number with (x).
Let the number be x
Five more than the number is:
5 + x
Seven-halves means 1/2 × 7 = 7/2
Mathematically, the question is saying:
5 + x = 7/2 × x
5 + x = 7x/2
Cross multiply;
2(5 + x) = 7x
10 + 2x = 7x
We collect like terms;
10 = 7x - 2x
10 = 5x
x = 10/5
x = 2
The number represented by x is 2
We want to convert the given sentence into an equation, and then solve it. We will see that the number is 2.
Finding the equation
We start with the sentence:
"Five more than a number is equal to seven-halves of the number"
if we define x as the number, we can write:
5 + x = (7/2)*x
Now we can solve this equation for x, we will get:
5 + x = (7/2)*x
5 = (7/2)*x - x = (7/2 - 1)*x
5 = (7/2 - 2/2)*x = (5/2)*x
(2/5)*5 = x
2 = x
So the number is 2.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL
Answer:
[tex]Scale\ Factor = 1.5[/tex]
Step-by-step explanation:
See attachment for proper presentation of question.
From the attachment, we have:
[tex]A = 7[/tex]
[tex]A' = 10.5[/tex]
Required
Determine the scale factor
To solve this, simply divide the circumference of A' by that of A.
This gives the scale factor used
i.e.
[tex]Scale\ Factor = \frac{A'}{A}[/tex]
Substitute values for A and A'
[tex]Scale\ Factor = \frac{10.5}{7}[/tex]
[tex]Scale\ Factor = 1.5[/tex]
Hence, the scale factor used is 1.5
Additional Note:
If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.
Then determine the scale factor by A'/A
evaluate
[tex] \frac{4}{2 {i}^{15} } [/tex]
please show work as I don't understand, thanks
Answer:
6
Step-by-step explanation:
good
ordered pairs that satisfy the equation y = -3x + 1
Answer:( 1, -2)
Step-by-step explanation: y= (-3)(1)+ 1
y=-3+1
y= -2
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
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.
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!!
What does one equal 10+ b over 25 equal
Answer:
b is 15.
Step-by-step explanation:
Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.
The answer is 15 because that is what it is.
Graph the line. -2x+y=4
Answer:
y=2x+4
i think that is the answer
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................
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.
A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of each book was bought.
Answer:
[tex]Probability = \frac{45}{98}[/tex]
Step-by-step explanation:
Given
Represent travel guide with T and Fictions with F
[tex]T = 5[/tex]
[tex]F = 9[/tex]
Required
Determine the probability that one of both was selected
This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)
The probability is is calculated as thus:
[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]
In probability, the above formula can be translated to
[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]
[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]
[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]
[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]
[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]
[tex]Probability = \frac{90}{196}[/tex]
[tex]Probability = \frac{45}{98}[/tex]
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.
Help Asap! Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Measure of angle 3 is,
⇒ ∠3 = 90 degree
We have to given that,
A kite is shown in image.
Since, We know that,
If two sides of triangle are equal then its corresponding angles are also equal in a triangle.
Now, By given figure, we have;
64 x 2 + x + x = 180
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
So, We get;
Measure or angle 1 is,
∠ 1 + 64 + 26 = 180
∠1 = 180 - 90
∠1 = 90 degree
Hence, By definition of vertically opposite angle,
⇒ ∠1 = ∠3 = 90 degree
Learn more about the angle visit:;
https://brainly.com/question/25716982
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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
In PE class, 2 teams are formed for a game of tug of war. Team A can pull with 200 lbs. of force. Team B can pull with 160 pounds of force and has room for 1 more player. What is the minimum amount the fourth player will need to pull in order for Team B to win? *
A. x ≥ 40
B. x > 40
C. x ≥ 100
D. x > 100
PLEASE HELP FAST!!!!!!!!
Answer:
B. x more than 40
Step-by-step explanation:
If you would like to win the tug of war game, you would have to apply a more greater force to win. If Team B needed to win, over 40 lbs. of force would do.
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
need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.
Answer:
The coordinates of G are: (-8, -10)
Step-by-step explanation:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Where,
[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
As per question statement, we are given that:
[tex]x_2=-4\\y_2=4[/tex]
and
[tex]x=-6\\y=-3[/tex]
To find:
[tex]x_1 = ?\\y_1 = ?[/tex]
Solution:
Let us use the mid point formula:
[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]
[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]
The coordinates of G are: (-8, -10)
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
there are 17 boxes each box holds 42. how many packets of sweets are there in total?
Answer: 714
Step-by-step explanation:
42 • 17 = 714
divide to check if it is correct
714 ÷ 42 = 17 or 714 ÷ 17 = 42
hope it helps!
Answer:
No.of sweets in one box = 42
No.of sweets in 17 boxes = 42 x 17
= 714
Help please this is urgent☹️
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
why does cutliest give me wrong answers =(
How many miles per hour? please help i will give brainliest<3
Answer: 9mph
Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.
3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).
0.15*60 = 9
So, the speed is 9 miles per hour
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
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%
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!!!!!
Please help.
Thank you in advance.
Answer:
its the last box and whisker plot
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:
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
HURRY PLEASE
The quadratic function f(x) crosses the x-axis at -3 and 1.
What are the solutions of f(x) = 0?
A) -3 and -1
B) -3 and 1
C) -1 and 3
D) 1 and 3
Answer:
B
Step-by-step explanation:
The solutions to a quadratic equation is whenever the graph crosses the x-axis. The solutions are also known as the roots or zeros of the quadratic.
Our quadratic crosses the x-axis at -3 and 1. So, at those two points, f(x) is 0. Namely, we have the two points (-3, 0) and (1, 0).
So, our two solutions are -3 and 1.
Hence, our answer is B.
Answer:
I think it would be B
Step-by-step explanation:
If f(x) is 0, that means the value of x would not change at all. and since its only on the x-axis and neither numbers are used for the y-axis, the solutions would most likely be -3 and 1.