b) When heated an iron bar expands by 0.2%. If the increase in length is 1 cm,
what is the original length of the bar ?
Simple algebra.
When we convert this to an equation we get: 0.2% of something is equal to 1 unit.
So here's the equation: [tex]0.02x = 1[/tex]
After we transpose [tex]0.02[/tex], the equation become: [tex]x = \frac{1}{0.02}[/tex].
Divide [tex]1[/tex] with [tex]0.02[/tex] and you get [tex]50[/tex].
So the length of the original bar is [tex]50[/tex] cm. :D
1. Ms. Thomas took her family and friends to the movies. There were a total of 16 people. Children's tickets cost $6 and adult tickets cost $9. She spent a total of $129. How many adults went to the movies?
2. Last season two running backs on the college football team rushed for a combined 1550 yards. One rushed 4 times as many yards as the other. How many yards did the player with the most yards rush?
A)
9*13+6*2=129
117+12=129
13 adults went to the movies
B)
1550/5=310
runner A ran four times as much as runner b
given the above, runner A ran 4*310 and B ran 310, since 1550/5=310
4*310=1240
The player with the most yards (runner A) ran 1240 yards
Maribelle uses x yards of material to make a quilt. A customer requests 5 quilts that are 20% larger than the normal pattern. Write an expression to represent the total yards of material needed for the requested quilts in two different ways?
Answer:
i. 5(x + 0.2x) yards
ii. 6x yards
Step-by-step explanation:
Since the requested quilts are 20% larger than the normal pattern, then;
20% of x = 0.2 x
Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.
So that;
To make one of the requested quilt, the yards required = x + 0.2x
For 5 requested quilts, the total yards required = 5(x + 0.2x)
Total yards of material for the requested quilts is 5(x + 0.2x).
Also,
5(x + 0.2x) = 5x + 5(0.2x)
= 5x + x
= 6x
Thus, the total yards required is 5(x + 0.2x) or 6x.
Which sentence would NOT represent the inequality below? 3x +4 < 2x-6 A. The sum of three times a number and four is less than or equal to twice the same number minus six. B. The product of three and a number added to four is at least twice the same number subtracted by six. C. The product of three and a number added to four is at most twice the same number minus six. D. The surn of three times a number and four is less than or equal to the difference between twice the same number and six.
HURRY I WILL GIVE YOU BRAINLIST
Answer:
B. The product of three and a number added to four is at least twice the same number subtracted by six.Step-by-step explanation:
Given inequality
3x + 4 ≤ 2x - 6Comparing with wording of same inequality
A. The sum of three times a number and four is less than or equal to twice the same number minus six.
Yes, sameB. The product of three and a number added to four is at least twice the same number subtracted by six.
No, different. (at least is ≥)C. The product of three and a number added to four is at most twice the same number minus six.
Yes, same.D. The sum of three times a number and four is less than or equal to the difference between twice the same number and six.
Yes, sameOliver removed 56 marbles from his marble box and put them into 8 equal groups. How many marbles were in each group ? Please give the answer with statement, calculation and answer just like a word problem.
Answer:
Oliver had 56 marbles and he divided them equally in 8 groups. The number of marbles in each group = 56 marbles ÷ 8 groups = 7 marbles per group.
Step-by-step explanation:
In order to determine the number of marbles in each group you just have to divide the total number of units by the number of groups. In this case, the result is a whole number.
There are 9 students in the school choir. The ratio of girls to boys in the choir is 5 : 4. Two girls are absent from practice on Monday. What is the ratio of girls to boys at choir practice on Monday?
A. 3 : 4
B. 5 : 2
C. 9 : 8
D . 10 : 7
Answer:
5:9
Step-by-step explanation:
I cant figure this out.
Answer:
$1271.25
Step-by-step explanation:
Since it's continuously compounded, the 2nd formula is most appropriate.
A=Pe^rt
P = initial investment = $1000
r = rate of increase = 8% = 0.08
t = time interval in years = 3
If you put in hlthe information you should have:
A = 1000•e^(0.08)(3) = $1271.25
Solve for x. PLZZZzzzz
Answer:
Actually,there x is qual to ninty minus x because of vertically opposite side...cauce ninty minus x comes in vertical opposite side by dragging the ninty minus x down ...so finally x is equalto ninty minus x and two x is equal to nintynow divide ninty by nine it's your ans.
Ratio number 1.50:1.38
Day 2 question: Get it right and I'll give you brainliest(or if I just like your answer). Who is my favorite American rapper?
A. Kevin Gates
B. Megan Thee Stallion
C. Moneybagg yo
D.Cardi B
Extra Question: If you could be one celebrity for the day then who?
Answer to the last question(which I think was deleted but i'll put it anyway)
My favorite kpop groups order is: B(P1Harmony, Seventeen, Ateez, Stray Kids)
Answer:
Cardi B
Step-by-step explanation:
and my kpop stan is SEVENTEEN and im a carat, my bias is woozi
Answer I think its money bagg yo and i would want to be Ariana Grande
Step-by-step explanation:
pls help me, i’ll give brainliest
Answer:
The answer is c my bad
Step-by-step explanation: your welcome
It is give me brainliest :)
Answer:
c
Step-by-step explanation:
NEED ANSWERS asap !!!!!!!!!!!!!
Answer:
Pink
Step-by-step explanation:
The pinkish shape is the one that is reflected across the x-axis.
Answer:
Pink
This is because blue is being flipped over the x-axis, and that is where pink is.
Hope this helps!
18) The degree of P(x) = (x-1)(x+2)(x+3)(2x-5) is
4
3
2
1
Help!!!!! Using the elimination method, what can you multiply the first equation by in order to eliminate "x"?
A. -4
B. 4
C. 5
D. 3
Solve the equation 4x-6= 34. Write a reason for each numbered step.
Answer:
Steps:
4x - 6 = 34
Add 6 to both sides
4x - 6 + 6 = 34 + 6
Simplify:
4x = 40
Divide both sides by 4
4x/4 = 40/4
Simplify:
x = 10
18.
The area of the rectangle shown is at most 140 square centimeters.
a. Write and solve an inequality to find the possible
values of x.
10 cm
b. Based on the answer in part (a), is it possible for
the rectangle to have a length of 15 centimeters?
Explain.
(3x + 2) cm
9514 1404 393
Answer:
a) 10(3x+2) ≤ 140; x ≤ 4
b) no
Step-by-step explanation:
a) The area is the product of length and width. We want that product to be no greater than 140:
10(3x +2) ≤ 140 . . . . your inequality
We can solve this by dividing by 10 first.
3x +2 ≤ 14
3x ≤ 12 . . . . . . subtract 2
x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality
__
b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.
Change the following sentences into the indirect speed
He said to me, "Do you live in London?"
He asked me if or do I live in London
Step-by-step explanation:
Anybody know this I’ll give you 25 points and the answer is not D
Answer:
Most likely D, not sure if I am correct, this might not help
Step-by-step explanation:
In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.
[tex]y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y[/tex]
Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.
What is the image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-8, 9)
Step-by-step explanation:
A 180 degree rotation is:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to the point given:
[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]
Hope this helps.
The image of the point (8,-9) after a rotation of 180° counterclockwise
about the origin is (-8, 9).
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)
A 180 degree rotation is:
(x, -y) --- (-x, y)
Apply the rule to the point given:
(8,-9) --- (-8, 9)
Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).
Learn more about rotation of a point with respect to origin here:
https://brainly.com/question/18856342
#SPJ2
Hailey was given a box of assorted chocolates for her birthday. Each night, Hailey treats herself to some chocolates. The number of chocolates remaining in the box tt days after Hailey's birthday can be modeled by the equation C=-4t+24.C=−4t+24. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
y intercept is 24 (i think)
Step-by-step explanation:
-4t is x
+24 is y
Answer:
C=30-5t
Step-by-step explanation:
The y-intercept of the function is 30 which represents the number of chocolates in the original box.
that's the correct answer^^^^
CAN YOU PLEASE JUST FILL THIS IN AND NOT LIKE EXPLAIN IT TO ME!!!
why don't you want an explanation, thats how you learn.
Answer:
It appears the slope is 1, 4 & the y-intercept is 0, 5.
Step-by-step explanation:
Per your request, no explanations required.
Good luck!!
An architect designed an apartment building that was to be 196 ft. High. He made a model of the building using a scale of ½ inch = 1 foot. How high was the model?
Answer:
25feet
Step-by-step explanation:
help plz it's a 9th grade question
Is none proportional it proportional
Answer:No it is not proportional
Step-by-step explanation:
The reason non proportional is not proportional is bc it's not proportional.
Answer:
It's not proportional
Step-by-step explanation:
I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.
Which ratio is less than 7/15
A. 9/15
B. 2/5
C. 3/5
D. 24/45
Answer:
B
Step-by-step explanation:
2/5 + 2/5 +2/5 = 6/15 < 7/15
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?
Find m<1
Help help help help
Answer: I'm willing to help but, I can't see the screenshot of wat u need help wit.
5(y+2)=4(x-3) Can someone help me find the slope of this line pls
Answer:
4/5 is the slope.
What is the difference between the SSS/SAS congruency postulate and the SSS/SAS similarity postulate?
Help Please!!!!
Answer:
This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. And third, there's the ASA postulate.
Step-by-step explanation:
Googled it. Hope this helps
Kyle is buying turkey from the deli. If turkey cost 8.50 per kilogram and he wants 3 kilograms how much will he spend on the turkey?
Answer:
The answer is 25.50
Hope this helps!