Answer:
[tex]D)\ x + y = 109\\(1.5)x + (3.5)y = 227.50[/tex]
Step-by-step explanation:
Let the items sold with price $1.5 = [tex]x[/tex]
Let the items sold with price $3.5 = [tex]y[/tex]
Initially, total number of items = 150
Items left at the end of the day = 41
So, number of items sold throughout the day = Total number of items - Number of items left
Number of Items sold = 150 - 41 = 109
So, the first equation can be written as:
[tex]\bold{x+y = 109} ....... (1)[/tex]
Now, let us calculate the sales done by each item.
Sales from item with price $1.5 = Number of items sold [tex]\times[/tex] price of each item
= (1.5)[tex]x[/tex]
Sales from item with price $3.5 = Number of items sold [tex]\times[/tex] price of each item
= (3.5)[tex]y[/tex]
Total sales = [tex]\bold{(1.5)x+(3.5)y = 227.50} ....... (2)[/tex]
So, the correct answer is:
[tex]D)\ x + y = 109\\(1.5)x + (3.5)y = 227.50[/tex]
The dot plots show 9 scores on a 10 question trivia game for two students. Select all the statements that must be true.
..
:
2
3
5
6
7
4.
Noah's scores
...
2
3
5
6
7
Jada's scores
Noah's scores have greater variability than Jada's scores.
The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
The mean of Noah's scores is greater than the mean of Jada's scores.
Noah scored better than Jada on every assignment.
Using only Noah's scores, the mean is equal to the median
d
e
Answer:
The correct statements are b, c and e.
Step-by-step explanation:
Consider the dot plot for Noah and Jada's score in the trivia game.
From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.
For the normal distribution:
Mean = Median = Mode
Noah's mean score = 5
Jada's mean score = 3
The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.
On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.
So, the correct statements are:
b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
c. The mean of Noah's scores is greater than the mean of Jada's scores.
e. Using only Noah's scores, the mean is equal to the median
Please answer all three
Answer:
Rectangular pyramid volume: 120 ft³
Rectangular prism volume: 840 ft³
Total volume of the composite figure: 120+840 = 960 ft³
Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make 45 beaded bracelets?
Answer:
I'm pretty sure it is 3 hours.
Step-by-step explanation:
Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D
Write an inequality to describe the relationship between −1 2/3 and −1/4.
Answer:
- 1/ 4 > -1 2/3
Step-by-step explanation:
-1 /4 is closer to zero than - 1 2/3.
Answer:
-14>-1 2/3
Step-by-step explanation:
According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?
Answer:
Graphing Calculator
Step-by-step explanation:
Matrix multiplication is not commutative. Why?
Answer:
For matrix multiplication to work, the columns of the second matrix have to have the same number of entries as do the rows of the first matrix. ... In particular, matrix multiplication is not "commutative"; you cannot switch the order of the factors and expect to end up with the same result.
can someone help? Please
Answer: I can’t help with that because there should be a graph
Step-by-step explanation:
Lilli jogs 12 mile in 110 hour. What is Lilli's rate in miles per hour?
Answer:
.109090909 miles per hour
Step-by-step explanation:
To find miles per hour, take the miles and divide by the hours
12 miles/110 hours
.109090909 miles per hour
Answer:
0.11
Step-by-step explanation:
Hello!
To find how many miles Lilli jogs per hour we divide the distance by the time it took
12/110 = 0.109
The answer is 0.11
Hope this helps!
What goes in the green box? Thank you :)
Answer:
The green box would be [tex]\frac{1}{8}[/tex].
Step-by-step explanation:
[tex]\frac{1}{2^{3}} = \frac{1}{8}[/tex]
Answer:
Step-by-step explanation:
R.A. = 50(1 - .5)^3
your question askes for the decay factor "green box"
that number is 1/2 (.5)
You make a pattern bydrawing three similar rectangles. The widthof the smallest rectangle is45of the width ofthe medium-sized rectangle. The width ofthe medium-sized rectangle is45of thewidth of the largest rectangle. The largestrectangle is 12 inches long and 8 incheswide. Find the dimensions of the smallestrectangle. Explain your reasoning.
Answer:
5.12 in. by 7.68 in.
Step-by-step explanation:
In similar triangles, the ratios of the lengths of corresponding sides are equal.
width of medium triangle = 4/5 width of large triangle
width of medium triangle = 4/5(8 in.) = 6.4 in.
length of medium triangle = 4/5 length of large triangle
length of medium triangle = 4/5(12 in.) = 9.6 in.
width of small triangle = 4/5 width of medium triangle
width of small triangle = 4/5(6.4 in.) = 5.12 in.
length of small triangle = 4/5 length of medium triangle
length of small triangle = 4/5(9.6 in.) = 7.68 in.
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
pls help with sum geometry
YES! quite easily.
I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal
and then there's a pair of vertically opposite angle at centre.
that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA
Answer:
[tex]\Large \boxed{\mathrm{D}}[/tex]
Step-by-step explanation:
The triangles can be proven by AA or Angle-Angle similarity.
[tex]\angle QUR \cong \angle TUS[/tex]
The vertical angles are congruent.
[tex]\angle R \cong \angle S[/tex]
The alternate interior angles are congruent.
what is 7k+1<8. and what would it look like on a number line
_
Answer:
[tex]\huge \boxed{k<1}[/tex]
Step-by-step explanation:
[tex]7k+1<8[/tex]
Subtract 1 from both sides.
[tex]7k+1-1<8-1[/tex]
[tex]7k<7[/tex]
Divide both sides by 7.
[tex]\displaystyle \frac{7k}{7} <\frac{7}{7}[/tex]
[tex]k<1[/tex]
i’m not sure how to do this please help!
Answer:
sum of the interior angles x and y gives the exterior angle z
(4n-18)°+(n+8)°=(133-6n)°
4n°-18°+n°+8°=133°-6n°
4n°+n°-18°+8°=133°-6n°
5n°-10°=133°-6n°
5n°+6n°=133°+10°
11n°=143°
11°n/11°=143°/11°
n=13
exterior angle=133-6×13
=133-78
=55
Which expressions are equivalent to 2(4f+2g)2(4f+2g)2, left parenthesis, 4, f, plus, 2, g, right parenthesis ? Choose 3 answers: Choose 3 answers: (Choice A, Checked) A 8f+2g8f+2g8, f, plus, 2, g (Choice B) B 2f(4 + 2g)2f(4+2g)2, f, left parenthesis, 4, plus, 2, g, right parenthesis (Choice C) C 8f+4g8f+4g8, f, plus, 4, g (Choice D, Checked) D 4(2f+g)4(2f+g)4, left parenthesis, 2, f, plus, g, right parenthesis (Choice E) E 4f+4f+4g4f+4f+4g
Answer:
8f + 4g
Step-by-step explanation:
Given
2(4f + 2g)
Required
Determine the equivalent expression
2(4f + 2g)
Open the bracket
2 * 4f + 2 * 2g
Perform right operations on the above
8f + 4g
The expression cannot be further simplified; Hence the result of 2(4f + 2g) when simplified is 8f + 4g
Answer: 8f + 4g also 4(2f + g) and 4f + 4f+ 4g
Step-by-step explanation:
how to find the theta with side lengths of a triangle
Step-by-step explanation:
Hello, there!!!
I hope you mean the question is like the above problem in picture.
so, let's simply work with it.
here, we may use cosine rule,
so, according to cosine rule,
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]
so, just put value of formulae here,
we get;
5^2 = 3^2 + 4^2 - (2×3×4) . cos thita
or, 25 = 9 + 16 -24 cos thita.
or, 24 cos thita = 0
or, cos thita = 0/25
or, cos thita = 0
now, taking cos to right side we get,
[tex] {cos}^{ - 1 } (0)[/tex]
now, after typing cos ^-1 (0) we get angle as 90°.
(note: in step {cos thita = 0} you couold directly write like; cos thita = cos 90°. and cos would be cancelled in it as cos 90°=0. but it is only applied in particular angle like 0°,30°,60°,..... which are identified or if you don't know you must use the method above using calculator and remember to put inverse {cos^-1}).
so, In this way we find angle.
I hope it helps....
An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths
Answer:
Around 1.6 cm per month
Step-by-step explanation:
We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.
[tex]\frac{19}{12} = \frac{x}{1}[/tex]
We can now cross multiply:
[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]
1.58333... rounds to 1.6.
Hope this helped!
Convert 5700 milligrams into pounds. Round your answer to the nearest hundred
Answer:
It should be 0.012566 rounded
Step-by-step explanation:
Answer:
0.01 pounds
Step-by-step explanation:
A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?
Solve the system by substitution.
y = -2
y =
5x + 40
Answer:
x = 8.4
y = -2
Step-by-step explanation:
Step 1: Sub y=-2 into y=5x + 40
-2 = 5x + 40
Step 2: Solve for 'x'
-2 = 5x +40
-42 = 5x
x = 42/5
x = 8.4
Step 3: Solve for 'y'
y is given in the question, y=-2
Find an equation of the line with x-intercept 8 and y-intercept 4
Answer:
y = -1/2x + 4
Step-by-step explanation:
We have two points ( 8,0) and ( 0,4)
We can find the slope
m =(y2-y1)/(x2-x1)
= (4-0)/(0-8)
4/-8
-1/2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/2x + 4
Answer:
Step-by-step explanation:
eq. of line with intercepts a and b is
[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]
Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost.
Answer:
6n = 1.50
and
13n = 3.12
Step-by-step explanation:
Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.
For Al’s produce stand, let the price per corn sold be n
Thus;
6 * n = 1.50
6n = $1.50 •••••••(i)
For the second;
let the price per corn sold be n;
13 * n = $3.12
-> 13n = 3.12 •••••••••(ii)
12x + 4y = 152 32x + 12y = 420 what is y?
Answer:
the value of x = 9 and y =11.
Given the system of equation:
12x + 4y =152 .......[1]
32x + 12y = 420 ......[2]
Multiply equation [1] by 3 we get;
Using distributive property:
......[3]
On solving equation [2] and [3] simultaneously we get;
x = 9
Substitute the value of x= 9 in [1] to solve for y;
108 + 4y = 152
Subtract 108 from both sides we have;
108 + 4y -108 = 152- 108
Simplify:
4y = 44
Divide both sides by 4 we get;
Simplify:
y= 11
therefore, the value of x = 9 and y =11.
PLEASE HELP ASAP!! (stuck on this and it's due in 45 mins)
Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)
1. Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L'
2. Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.
3. What translation would move △JKL to △J"K" L directly?
A. 8 units right and 5 units up
B. 10 units left and 5 units up
C. 8 units right and 5 units up
D. 8 units right and 10 units up?
Answer:
the answer is b, 8 units right, and 5 units up
Step-by-step explanation:
The image of △JKL after a translation of 8 unit right and 5 units up to △J"K" L directly.
What is translation?The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.
Given Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)
and Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',
and Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.
from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)
change in J to J" is (5 - (-3), 9- 4) =(8 , 5),
same for K to K" and L to L"
ΔJKL moves 8 units right and 5 units up to △J"K"L"
Hence 8 units right and 5 units up translation would move △JKL to △J"K" L directly.
Learn more about translation;
https://brainly.com/question/12463306
#SPJ2
please help! need answers in order to move on:)
1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15
2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)
3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32
4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2
5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5
6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8
7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7
Answer:
1)
5⁻³ = 1/5³ = 1/1252)
-3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)3)
3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴4)
7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²5)
(8¹⁰)² = 8¹⁰*² = 8²⁰6)
(9x8)⁴ = 9⁴x8⁴7)
(2/7)⁵ = 2⁵/7⁵Answer:
1) [tex]5^{-3}[/tex]-
Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]5^{-3}=\frac{1}{5^3}[/tex]
[tex]=\frac{1}{5^3}[/tex]
[tex]5^3=125[/tex]
Answer:- [tex]\frac{1}{125}[/tex]
---------
2) [tex]-3^{-4}[/tex]
[tex]-(\frac{1}{3} )^{4}[/tex]
Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]
---------
3) [tex]3^{-8}\times 3^{4}[/tex]
[tex]3^{-8+4}[/tex]
Answer:- [tex]3^{-4}[/tex]
----------
4) [tex]7^{-3} /7^{-5}[/tex]
[tex]7^{-3-(-5)}[/tex]
[tex]7^{-3+5}[/tex]
Answer:- [tex]7^{2}[/tex]
----------
5) [tex](8^{10} )^{2}[/tex]
[tex]8^{10\times2}[/tex]
Answer:- [tex]8^{20}[/tex]
---------
6) [tex](9\times8)^{4}[/tex]
Answer:- [tex]9^{4} \times 8^{4}[/tex]
---------
7) [tex]\left(\frac{2}{7}\right)^5[/tex]
Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]
-----------------------
OAmalOHopeO
-----------------------
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
LM = 2(MP)
Step-by-step explanation:
The radius KN is perpendicular to LM meaning that the line is split in half at the crossing. Review properties of circles to see why this is true.
Since we know this, we can say LM = LP + MP. And LP = MP.
So we can say LM = 2(MP).
Cheers
The blue team scored two more than five times the number of points,p, scored by the red team
Write an expression for the problem
Answer:
2 + 5p
Step-by-step explanation:
Hi there!
Let [tex]p[/tex] equal the number of points scored by the red team.
We're given:
The blue team scored two more than five times the number of points scored by the red team.
⇒ blue team points = 2 + (5 × red team points)
⇒ blue team points = 2 + 5p
I hope this helps!
1. $25; 30% increase
Answer:
32.5
Step-by-step explanation:
25, percentage increased by 30% (percent) of its value = 32.5
5. Define Linear Pair.
Answer:
when 2 angles add up to 180 degrees, they form a linear pair
Step-by-step explanation:
The question is prime factors of 72. answer:A.3 times 3 times 2 times 2 times 2. answer:B.3 times 3 times 2 times 2 answer:C.3 times 3 times 3 times 2 times 2 times 2. answer:D.7 times 2 times 2.
Answer:answer=A
Step-by-step explanation: 3×3×3×2×2=72
Answer:
YUP THEY RIGHT
Step-by-step explanation:
[tex]x + 0.25 = -0.25[/tex]
Answer:
x = -0.5
Step-by-step explanation:
x + 0.25 = -0.25
x = -0.25 - 0.25
x = -0.5