Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
15 POINTS A 4-inch length is represented as 1/8 on a scale drawing. What is the scale used on the drawing?
1 foot=3/4 inch
1 foot =3/8 inch
1 foot= 1/2 inch
1 foot = 1/4 inch
Please explain im not good at scales and models.
9514 1404 393
Answer:
(b) 1 foot = 3/8 inch
Step-by-step explanation:
The given ratio is ...
actual : scale = 4" : 1/8"
You know that 1 foot = 12 in = 3×4 in, so you can multiply the above ratio by 3 to see what it is for 1 foot.
actual : scale = 3×4" : 3×1/8"
= 12" : 3/8"
= 1 foot : 3/8 in
______
Alternate approach
Essentially, we're saying that the ratios between actual measures and those on a scaled drawing or model form a proportion.
scale / actual = (1/8")/(4 in) = ??/(12 in)
Multiplying by 12 in, we get ...
?? = (12 in)(1/8")/(4 in) = 3×1/8"
?? = 3/8"
__
More detail
Notice that this only works when the units in the ratio (12 in)/(4 in) cancel to give a pure number 12/4 = 3.
If we had put 1 foot in the proportion, then we would end up with ?? being expressed in feet, not inches:
(1/8")/(4") = ??/(1 ft)
?? = (1 ft)(1/8")/(4") = (1 ft)(1/32) = 1/32 ft
Then, to find the answer to the question, we would have to find out how many inches is 1/32 ft.
1/32 ft = (1/32)(12 in) = 12/32 in = 3/8 in
__
End comment
For best results, the units in corresponding parts of a proportion should be the same.
The points in the table lie on a line. Find the slope of the line.
Answer:
slope: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula [tex]\frac{rise}{run}[/tex] to solve this.
- write your formula
[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
- plug in your numbers
[tex]m=\frac{4-3}{0-(-2)}[/tex]
- solve
[tex]m=\frac{1}{2}[/tex]
I hope this helps!
solve for x and express in simplest radical form
Find the asymptotes of the following functions
Answer:
a) y = -6/x has a vertical asymptote at x = 0
b) y = 1/(2·x) - 1 has two asymptotes;
1) A vertical asymptote at x = 0
2) A horizontal asymptote at y = -1
Step-by-step explanation:
The asymptote is given as the line in which the distance between the graph and the line draws closer to zero as either the 'x', or 'y', or both 'x', and 'y', approaches infinity
a) The given equation is y = -6/x
Therefore, the function does not have a horizontal or oblique asymptote only a vertical asymptote at x = 0
b) The given equation is y = 1/(2·x) - 1
∴ y = (1 - 2·x)/(2·x)
The function has a vertical asymptote at x = 0
The function has an horizontal asymptote at y = -2/2 = -1
The girls' swim team is hosting a fundraiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.
This question is incomplete
The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.
Write a system using c for candles and f for flowers.
Answer:
c + f ≤ 200
5c +6f ≥ 500
Step-by-step explanation:
Using
c for candles
f for flowers.
The girls estimate that at most they will sell 200 items.
At most is a statement that means : Less than or equal to with the inequality sign (≤)
Hence:
c + f ≤ 200
They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.
At least is a statement that means : Greater than or equal to with the inequality sign (≥)
Hence:
$5 × c + $6 × f ≥ $500
5c + 6f ≥ 500
Therefore, the system of inequalities is given as:
c + f ≤ 200
5c + 6f ≥ 500
These dot plots show lengths (in feet) from a sample of crocodiles and alligators.
Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
statement is true?
A. Alligators have a smaller IQR because there were some very long
alligators (high outliers).
B. Crocodiles have a greater IQR because most of the crocodiles
were about the same length.
C. Alligators have a smaller IQR because there were some very short
alligators (low outliers).
D. Alligators have a greater IQR because there were some very long
alligators (high outliers).
Alligators have a greater IQR because there were some very long alligators (high outliers)
D: Alligators have a greater IQR because there were some very long alligators (high outliers)
How to find outliers and the interquartile range?Use the interquartile rule to find outliers and calculate the interquartile range of data.
Multiply the interquartile range (IQR) by 1.5 (a constant used to identify outliers). 44 Adds 1.5x (IQR) to the 4th interquartile range. Numbers larger than this are suspected of being outliers.
Subtract 1.5x (IQR) from the first interquartile range.
If you subtract 1.5xIQR from the first quartile, data values smaller than this number are considered outliers. If you add 1.5 x IQR to the third interquartile, data values larger than this number are considered outliers.
Learn more about outliers and the interquartile here:https://brainly.com/question/17083142
#SPJ2
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The expression 14.99n +4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs
Answer:
14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.
Step-by-step explanation:
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
HEEEEELP PLEASEEEE THAAAAAAANK YOUUUUU
Answer:
250/30= 25/3
inverse of 25/3= 3/25
Step-by-step explanation:
7. it is on gradpoint
For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, yes
B. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, no
C. 13 lb, 35 lb, resultant force 30 lb, yes; 20 lb, 15 lb, resultant force 25 lb, yes
D. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant force 25 lb, no
Answer:
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes
Step-by-step explanation:
From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.
What is the equation of a line with slope of 5/4 and a y-intercept of 9?
Answer:
Y = 5/4)x + 9
Step-by-step explanation:
Y = mx + b
b = y int
m = slope
What is the product of d – 9 and 2d2 + 11d – 4?
2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36
Answer:
A.
2d3 – 7d2 – 103d + 36
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLEASE HELP I HAVE 15 MINS LEFT PLSS
Answer:
14
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
(times by 8) 105 mins= 1 day (times by 8)
840mins = 8 day
840 mins in hours is 14 hours
ACE THAT TEST!!!
Liz is measuring her paper clips. She lines 8 paperclips up along the side of a notebook. The side of the notebook measures 10 2/3. What is the length of each paper clip?
Answer: Each paper clip is [tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
Simply divide how long the notebook is, by how many paper clips there are, [tex]10\frac{2}3}[/tex] divided by 8.
Can some one solve 1 for me plz I need to pass this test it is timed
I’ll give out a crown
Answer:
(x +8) (x - 3)
Step-by-step explanation:
Hope it helps you in your learning process.
What is the first step in solving this problem:
-2 •(3+8+4)2
Please help me, I don't know the difference between an expression and an equation. XD
Step-by-step explanation:
ahhhhhhhhhhhhhhhhhhhhh
-6=n/2-10 step by step one plz
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-6 = n/2 - 10
Step 2: Solve for n
Add 10 to both sides: 4 = n/2Multiply 2 on both sides: 8 = nRewrite: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: -6 = 8/2 - 10Divide: -6 = 4 - 10Subtract: -6 = -6Here we see that -6 does indeed equal -6.
∴ n = 8 is the solution to the equation.
b) Prove that
Tan 47°\cot 43°= 1
Answer:
Here's the proof
Step-by-step explanation:
tan(47°)/cot(43°)
=tan(90°-47°)/cot(43°)
=cot(43°)/cot(43°)
=1 (proven)
Answer:
Step-by-step explanation
Loll
what is 7-2x+3+5x+4x2
Answer:
7x+14 I think is correct. it's just combining like terms
PLS HELP I WILL GIVE YOU BRAINLIST
Plot each set of points. Which set represents equivalent ratios?
(3, 1), (4, 3), (6, 7)
(2, 1), (6, 3), (10, 5)
(1, 2), (2, 6), (5, 8)
(1, 2), (2, 4), (3, 5)
Answer:
It is B
Step-by-step explanation:
I just did it! Yesterday <3 Hope this helps!!
Answer:
IT'S B!!!!!!!!!!!!!!!!!!!!!
convert 27℅ to a decimal to a fraction and show a example how.
Answer:
27% to .27 to 27/100
Step-by-step explanation:
So you take your number 27 and remove your % sign then you put your decimal at the last number on your right like this 27. so to make a percent into a decimal you have to move it twice to the left. so it will look like this as a decimal .27 to make it into a fraction look at the placement it is in the hundredths place so 27/100
Answer:
0.27
Step-by-step explanation:
You have to divide 27 by a 100. So you make 27 as 27.00 then you divide it by 100 and it give you 0.27 hope this is right and helped
Solve
7x — 2 = 5x + 14
Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?
14 m
4m
What is the area of the figure to the nearest hundredth? Enter the answer in the box.
square meters
Answer:
Step-by-step explanation:
we have a rectangle and a semicircle,
area rectangle=14*4=56
area of semicircle
diameter is 4, than r=2
A of the circle=3.14*r^2=3.14*4=12.56
we have a semicircle so we will divide the area by 2
A=12.56/2=6.28
total area=56+6.28=62.28
What is the next term of the arithmetic sequence 1, -2, -5, -8, ...
Answer:
-11
Step-by-step explanation:
Subtract 3 everytime
Answer:
-11
Step-by-step explanation:
coz
1-3= -2
-2-3= -5
-5-3= -8
-8-3= -11
What is the value of 2/7 divided by 4/9
Answer:9
Step-by-step explanation:
dk
Answer:
its 0.642857 pls tell me if im wrong lol srry if it is
Nolan bought 3 postcards while on vacation for 1 week how many weeks will Nolan have to spend on vacation to buy 15 postcards if he buys them at that rate
Answer: 5 weeks
Step-by-step explanation:
In the 1 week he was on vacation, Nolan was able to buy 3 postcards.
The rate he is buying postcards is therefore 3 per week.
If he needed to buy 15, he would need to be there for:
= 15 postcards/ 3 postcards a week
= 5 weeks
guys i’m in a hurry please help meeee
Answer:
try both -1, if I'm wrong I am sorry
Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph
Answer:
2.07 miles
Step-by-step explanation:
If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3
Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.