A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer 1
We must solve the system in order to find an answer.
Let's solve the system of equations:
[tex]x + y = 24\\ 3x + 5y = 100[/tex]
Now let us multiply the first equation by -3:
[tex]x + y = 24/\cdot(-3)\\ 3x + 5y = 100\\ --------\\ -3x-3y=-72\\ 3x + 5y = 100 [/tex]
We add those two equations together( 3x-3x will cancel out):
[tex]-3x-3y=-72\\+ 3x + 5y = 100\\ --------(+)\\ 2y=28\\ y=14 [/tex]
Now we simply plug y=14 into any of the starting equations to find x:
[tex]x + y = 24\\ x+14=24\\ x=10[/tex]
The answer is B:
The test contains 10 three-point questions and 14 five-point questions.
Answer 2

The answer to your question is B :)


Related Questions

Solve for w.
1/7 = -3/2w -4/5 Simplify your answer as much as possible.

Answers

1/7 = -3/2w -4/5
add 4/5 to both sides
1/7 + 4/5= -3/2w
change to common denominator; 5 & 7 go into 35
(1*5)/35 + (4*7)/34= -3/2w
5/35 + 28/35= -3/2w
33/35= -3/2w
divide by -3/2 on both sides; multiply by the reciprocal of -3/2
33/35 * -2/3= w
-66/105= w
simplify by 3
-22/35= w

CHECK:
1/7 = -3/2w - 4/5
1/7= -3/2(-22/35) - 4/5
1/7= 66/70 - 4/5
1/7= 66/70 - 56/70
1/7= 10/70
1/7= 1/7

ANSWER: w= -22/35

Hope this helps! :)

Answer:

7 on k-12

Step-by-step explanation:

7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.

If 88% of milk is water, what percentage do the other components equal

Answers

The percentage that the other components is equal to 100%-88%=12%

The correct answer is that the other components equal 12% of the milk.

To solve this problem, one must understand that the total percentage of all components in milk must add up to 100%. Given that 88% of milk is water, the remaining percentage will be the sum of all other components in the milk.

To find the percentage of the other components, subtract the percentage of water from the total percentage:

Total percentage of milk = 100%

Percentage of water in milk = 88%

Percentage of other components = Total percentage of milk - Percentage of water in milk

Percentage of other components = 100% - 88%

Percentage of other components = 12%

Therefore, the other components in the milk make up 12% of the milk.

Complete question:- If 88% of milk is water, what percent do the other components equal?

First combined weight of three packages that weigh 5 1/2 pounds 4 7/16 pounds and 3 3/8 pounds

Answers

5 1/2 + 4 7/6= 9.9+3 3/8=13.37

A probe is traveling to mercury is 4.8 x 10^7 miles away the probe travels at a rate of 6 x 10^4 miles per hour. Using the formula: time = distance / rate determine how long it would take the probe to reach mercury all units are in hours.

A. 0.8
B. 2.88 x 10^4
C. 8 x 10^2
D. 1.2 x 10^3

Please help

Answers

it's c.8*10^2.
time=distance/rate
time=4.8*10^7/6*10^4
time=0.8*10^3
time=8*10^2


Hint: Omars equation doesn't work!
Identify his error and correct it by showing the steps Omar should have taken and determine the correct value of x.

Answers

His Error: He set the expressions 10x-1 and 59 equal to each other. Those two angles are not congruent. 

He should have added the two expressions to get 180
(10x-1) + (59) = 180
10x+(-1+59) = 180
10x+58 = 180
10x+58-58 = 180-58
10x = 122
10x/10 = 122/10
x = 12.2



What is the median for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8

5|0 = 50 years old
70
71
72
74

Answers

Answer:

71

Step-by-step explanation:

The experimental probability of a coin landing on heads is 7/12. If the coin landed on tails 30 times, find the number of tosses

Answers

Answer: 72 tosses

Explanation: If the probability of landing heads is 7/12, the probability of landing tails is 5/12. So then you do cross multiplication, where you multiply the 12 and the 30, equalling 360. Then divide that by 5, equalling 72.

One of the parallel sides of a trapezium is 5cm longer than the other. If the
prependicular
distance between them
is 9cm and area is 126cm
2
, find the length
of the parallel sides.

Answers

The area of a trapezium is the product of height and average base length. The average base length is
  (126 cm^2)/(9 cm) = 14 cm

One base is half the difference longer than this, 16.5 cm; the other is half the difference shorter, 11.5 cm.

PLEASE HELP!!???!!!?

Answers

Do you know any trigonometry? I'll solve this as you do.

Sin(60) = slant height / hypotenuse (corner height)
corner height = 8 meters.
Sin(60) = slant height / 8
8 sin(60) = slant height
8 * 0.8660 = slant height
6.928

8) A customer paid 84p for 300g of grapes. Find the price for 1/2kg

Answers

0.3 kg costs 84p
1    ..    ....   84 / 0.3 p
0.5 ...........  84 * 0.5 / 0.3  =  140 p  or £1.40 Answer

In Washington, D.C., Constitution Ave. meets Pennsylvania Ave. at a 25° angle. What is the measure of the complementary angle to the angle formed by these two avenues?

Answers

By definition, the complementary angles are those that have a sum of 90° (Right angle). 

 The problem indicates that Constitution Avenue meets Pennsylvania Avenue at a 25° angle. Then, the complementary angle is:

Complementary angle=90°-25°
Complementary angle=65°

  What is the measure of the complementary angle to the angle formed by these two avenues?

 The answer is: The measure of the complementary angle to the angle formed by these two avenues is 65°. 

If ΔABC≅ΔMNO, then what corresponding angle is congruent to angle N? (Enter your answer using the angle letter only.)

Answers

Angel b would be the congruent one to angel n
Hope it helps

Answer:  [tex]\angle{B}[/tex]

Step-by-step explanation:

We know that if two triangles are congruent , then their corresponding sides and angles are congruent (by CPCTC).

[CPCTC is the acronym use for the property of congruent triangles that says that corresponding parts of two  congruent triangles are congruent]

Given : ΔABC  ≅  ΔMNO

Then , [tex]\angle{A}[/tex] corresponds [tex]\angle{M}[/tex] [First letter]

[tex]\angle{B}[/tex] corresponds [tex]\angle{N}[/tex] [Middle letter]

[tex]\angle{C[/tex] corresponds [tex]\angle{O}[/tex] [last letter]

Then , by CPCTC, we have

[tex]\angle{B}\cong\angle{N}[/tex]

Hence, angle B is the corresponding angle which is congruent to angle N.

Answer for number 5?

Answers

you should try to divide 192 by the 4 sides on the rectangle.
The first thing you should know is that the perimeter of a rectangle is given by:
 P = 2L + 2W
 Where,
 L: side
 W: width
 On the other hand we have that the ratio is:
 L / W = 5/3
 Clearing L we have:
 L = (5/3) * (W)
 Substituting in the expression of the perimeter:
 P = 2 ((5/3) * (W)) + 2W
 Rewriting:
 P = (16/3) W
 The perimeter is 192:
 192 = (16/3) W
 We cleared W:
 W = (3/16) * (192)
 W = 36
 Finally we substitute W in the expression for L:
 L = (5/3) * (W)
 L = (5/3) * (36)
 L = 60
 Answer: 
 The width and length are: 
 W = 36 yards 
 L = 60 yards

Sarah draws a rectangle with an area of 4,875 square units and a length of 65 units. What is the width of the rectangle? 70 units 75 units 85 units 95 units

Answers

To calculate area of a rectangle you multiply the length and width together so to find the width you divide the area by the length: 4875÷65=75 so the width is 75 units.

Rhianna has $5.25 in dimes and nickels for a total of 63 coins. how many dimes does she have

Answers

Answer:

The number of dimes she has = 42

Step-by-step explanation:

Rhianna has $5.25 in dimes and nickels for a total of 63 coins.

Let the number of nickels be x and the dimes be y.

Since nickels = 0.05 cent and Dimes = 0.10 cent

Now we will form the equations.

10 y + .05 x = 5.25

5x + 10y = 525

x + 2y = 105 ------(1)

x + y = 63 ----(2)

By subtracting equation 2 from 1.

(x + 2y)-(x + y) = 105 - 63

x + 2y - x - y = 42

y = 42

By putting y = 42 in equation 1

x + 42 = 63

x = 63 - 42 = 21

Therefore

Number of dimes will be 42.

Singing "row, row, row your boat," in a round (each group starting at a different time) would be considered which texture? music appreciation

Answers

Yuh, ooh, brr, brr
Gucci gang, ooh
(That's it right there, Gnealz)
Yuh, Lil Pump, yuh
Gucci gang, ooh
(Ooh, Bi-Big Head on the beat)
Yuh, brr

A Ferris Wheel turns at a constant speed.
It takes 4 minutes to turn through a complete circle.
What angle does the Ferris Wheel turn through in 90 seconds?
A) 125 degrees
B) 135 degrees
C) 145 degrees
D) 155 degrees

Answers

the answer is d. i hope it helps
Okay so as you know a circle is 360 degrees. So let's start by finding what one minute is. 360/4=90 so in 1 minute the Ferris Wheel while move 90 degrees. 90 seconds is equal to 1 minute and 30 seconds so 1 minute/2 (or 30 seconds)=90/2 which is 45. 90+45=135 degrees. 
Side note: I am taking in Geometry right now in 7th grade so I can assure you that this answer is trustworthy. Hope this helps!

Which of the following is the solution to the equation 25^(z + 2) = 125?

Answers

Answer:

z = -0.5

Step-by-step explanation:

Using exponent rule:

[tex]x^a = x^b[/tex] then a = b

Given the equation:

[tex]25^{z+2} = 125[/tex]

We can write 25 and 125 as:

[tex]25 = 5 \cdot 5 = 5^2[/tex]

[tex]125 = 5 \cdot 5 \cdot 5 = 5^3[/tex]

then;

[tex]5^{2(z+2)}= 5^3[/tex]

Apply the rule:

[tex]2(z+2) = 3[/tex]

using distributive property [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex]2z+4 = 3[/tex]

Subtract 4 from both sides we have;

[tex]2z = -1[/tex]

Divide both sides by 2 we have;

z = -0.5

Therefore, the solution for the given equation is, z = -0.5



The graph shows the path of a rider on a ride at an amusement park.

What does the x-coordinate of the vertex represent?



The rider’s minimum height above the ground is 25 ft.
The rider travels a total distance of 25 ft.
The difference between the rider’s maximum and minimum’s height above the ground is 25 ft.
The rider is closest to the ground when he is 25 ft from the left side of the ride.

https://static.k12.com/nextgen_media/assets/8090397-NG_AL1_O_07_U12_Quiz_08.png

Answers

The rider is closest to the ground when he is 25 ft from the left side of the ride.

Answer:

D. The rider is closest to the ground when he is 25 ft from the left side of the ride.

Step-by-step explanation:

The vertex of x-coordinate represents the distance from the from the origin of the pendulum, which is the closest to the ground when he is 25 ft away from 0.

Hope this will helpful.

Thank you.

David has a credit card with an APR of 13.59% and a 30-day billing cycle. The table below details David’s transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 1,998.11 Beginning balance 11/5 43.86 Purchase 11/16 225.00 Payment 11/23 61.21 Purchase Between the previous balance method and the daily balance method, which method of calculating David’s November finance charge will result in a greater finance charge, and how much greater will it be?

Answers

the answer i would be C the previous balance method will have a finance charge $ 0.96 greater than the daily balance method
the correct answer is C

The explicit rule for a sequence is

an=48−11n .



What is the recursive rule for the sequence?




an=an−1+37,a1=11

an=an−1−11,a1=37

an=an+1−11,a1=37

an=an−1−37,a1=11

Answers

For an explicit formula in its simplified form, we must evaluate the first two terms.

For [tex]a_n=48-11n[/tex], [tex]a_1=48-11=37[/tex], and [tex]a_2=48-22=26[/tex]. We see that the common difference is [tex]37-26=-11[/tex], and [tex]a_1=37[/tex], so we write,
[tex]a_1=37, \ \ \ a_n=a(n-1)-11[/tex]. 

The correct answer is B.


the rule should be a(n)=a(1)+(n-1)d
d=-11 in this case, so a(n)=a(1)-11(n-1)
a(n)=a(1)-11n+11
a(n)=a(1)+11-11n
a(1)+11=48, 
a(1)=37
B is the correct answer. 

[100 POINTS]

Question 1)
The graph for the equation y = 2x - 2 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2(x+1)
B) y = 2(x-1)
C) y = 2(x-2)
D) y = -2(x+1)

Question 2)
Solve the inequality and then graph its solution.
1/5(x-2) > -1

a) x > -7
b) x < -3
c) x > -3
d) x > 3

Answers

Question 1)

D

The answer is D because every other option has the same slope (2), and even if the intercepts are different, the lines would only be parallel, whereas in D, the slope is -2, which has one solution.

Question 2)

C

You would multiply everything by 5 to get rid of the fraction. Then, you can simplify and get the answer.

The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.

The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.

Answers

For this case we must simplify the following expression:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}[/tex]

Simplifying the numerator, dividing all the terms by 4, we have:

[tex]x ^ 2-8x + 12[/tex]

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

[tex]-6-2 = -8\\-6 * -2 = 12[/tex]

So, we have to:

[tex]x ^ 2-8x + 12 = (x-6) (x-2)[/tex]

Simplifying the denominator:

We rewrite -17x as -18x + x:

[tex]3x ^ 2-18x + x-6[/tex]

We factor the highest common denominator of each group:

[tex]3x (x-6) +1 (x-6)[/tex]

We factor the polynomial by factoring the highest common denominator (x-6):

[tex](x-6) (3x + 1)[/tex]

So, we have to:

[tex]3x ^ 2-17x-6 = (x-6) (3x + 1)[/tex]

Substituting in the original expression we have:

[tex]\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}[/tex]

ANswer:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}[/tex]

Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour

Answers

[tex]3 \frac{1}{6}: \frac{1}{4}= \frac{19}{6}* \frac{4}{1}= \frac{38}{3}= 12 \frac{2}{3} [/tex]

his average speed is 12 2/3 kilometers per hour

The average speed of an object is computed as follows,

[tex]v=\frac{d}{t}[/tex] , where [tex]d[/tex] is the distance covered in the time interval of interest and  [tex]t[/tex]  is the time taken  to cover the distance.


In this problem, the distance covered is

[tex]d= 3\frac{1}{6} km =\frac{19}{6} km.[/tex] as an equivalent fraction.

The time taken for the journey is

[tex]t=\frac{1}{4} hour.[/tex].

The avarage is speed is then,

[tex]v=\frac{d}{t}[/tex]

[tex]v=\frac{(19/6)km}{(1/4)h} =\frac{19\times 4 km}{6\times 1h} =\frac{38km}{3h} = 12.67km/h.[/tex]

Which of the following sets are closed under multiplication? Select all that apply. integers irrational numbers whole numbers polynomials

Answers

I think the appropriate answer is, the integers, polynomials and whole numbers since of them are closed under multiplication. 
Integers are whole numbers, while polynomials are expressions with more than two algebraic terms.

integers, polynomials and whole numbers

Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the difference between the larger of x1 and x2 and the smaller of y1 and y2.

Answers

Even though we are using variables, we still know that "difference" means subtraction. So, if the larger is x1 and x2, those variables go first. The smaller, y1 and y2 will go second. So our problem will look like this:

(x1 <  x2 ? x2 : x1) - (y1 < y2 ? y1 : y2)
Final answer:

To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.

Explanation:

To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.

Here is how it would look like in a programming context:

int larger = Math.max(x1, x2);

int smaller = Math.min(y1, y2);

int difference = larger - smaller;

where 'difference' is the answer you are looking for.

Learn more about Comparison Operations here:

https://brainly.com/question/33506016

#SPJ12

Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 2x + 7; (3, 11)

I'm so bad at math please help!??

Answers

Parallel to y = 2x + 7, passes through (3, 11)

Alrighty, so remember : if an equation is parallel to another equation, then both of their slopes are the same. 

Identify the slope of our given line. Since our equation is in slope-intercept form, remember that "m" is the slope. Therefore, our slope is 2.

Now, plug in (3, 11) and "m" (2) into slope intercept form, y=mx+b. We're essentially just finding "b" which is our y-intercept.

y = mx+b

(11) = (2)(3) + b

Simplify.

11 = 6 + b

Subtract 6 from both sides.

11 - 6 = b

Therefore, b = 5

So now plug everything into our new equation.

Remember that our new equation has a slope of 2 and a y-intercept of 5.

y = mx+b

y = 2x + 5

~Hope I helped!~

Sarah is shopping for groceries at the local supermarket. She paid for her groceries using a $100 bill recently issued by the US government. What type of money did Sarah use for this transaction? commodity money fiat money digital money representative money

Answers

It is not digital because that would something like applepay. It is also nt representative, since that would be something like food stamps. Commodity money is also a bad answer, since it is goods. You answer would be fiat money, which is paper tender issued by the government. Hope this helps.

Math help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

6,023 
6,032
6,407
6,704
From least to greatest:

6,023; 6,032; 6,407; and 6,704.
From this list, the most accurate answer choice is the first one, A.

I hope this helps!

Caleb has an offer from a credit card issuer for 0% APR for the first 30 days and 17.68%
APR afterwards, compounded daily. What effective interest rate is Caleb being offered?

17.61%

19.19%

17.68%

19.33%

Answers

Solution:- Answer is 19.33%

Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.

Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.

now, effective interest rate for n= 30 days  

=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0[/tex]

After 30 days APR =17.68%=0.1768

n=365-30=335 days

now the effective interest rate for n=335 days

=[tex]r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933[/tex]

=19.33%

So the effective interest rate for 365 days =0+19.33% =19.33%

So fourth option is correct.

Answer:

17.61%

Step-by-step explanation:

just did it

Other Questions
Gergely & watson's contingency detection module is an example of _______ because ______________.a. a stage theory; they describe stages in understanding the internal states of othersb. and information processing theory; they posit the learning mechnisms for operant conditioning.c. a core knowledge theory; they posit an innate learning mechanism that encodes the statistical relationships between the individual's behavior and subsequent events in the environment.d. a sociocultural theory; they posit a learning mechanism that encodes social 56. exercise. for natural numbers a and b, give a suitable definition for "least common multiple of a and b", denoted lcm(a, b). construct and compute some examples. What two "executive powers" are held by the senate? what is the role of the house and senate in the impeachment process? There are no truly pure market economic systems , but which of the following countries is the cloest? options: cuba , russia ,china , Usa 1 and 2 are vertical angles. 2 has a measure of 31. What is the measure of 1 ? Enter your answer in the box. The speaker in Hughess poem Democracy encourages people to The activation energy for the gas phase isomerization of cyclopropane is 272 kJ. (CH2)3CH3CH=CH2 The rate constant at 718 K is 2.3010-5 /s. The rate constant will be /s at 753 K. During each minute of a comedy show, Carlin laughs 555 times. Carlin watches 333 comedy shows every day, and each show is 404040 minutes long. How many times does Carlin laugh every day due to the comedy shows? what is the average of -10.25 and 125.75 During the baroque era, the Catholic church required that religious art A. be displayed only in Christian churches and basilicas. B. be affordable for the common people to buy. C. be displayed in every home and business. D. teach the Bible on an emotional level to lower-class people what are three key administration officials as of 2006. How would African-Americans influence Northern life?a-cultural contributionsb-African languagesc-manifest destinyd-womens suffrage Which number completes the inequality? -5.13< ?< -4.8 1.) There are 8 people in a room.Each person shakes hands with each of the other people once and only once.How many handshakes take place?2.) A student has some pigs and some chickens.He finds that together they have 70 heads and 200 legs.How many pigs and how many chickens does he have? 3.) A well is 10 feet deep.A frog climbs up 5 feet during the day, but falls back 4 feet at night.Assuming that the frog starts at the bottom of the well,how many days does it take the frog to get to the top? I'm looking for work shown, too, please! :) Sociologist catherine ross has suggested that we need to reconceptualize various living arrangements as a continuum of One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side? Jamal is asked to write a science essay about molecular forces. He first turns to his science textbook for information. Which is the BEST second source for Jamals research? A)a magazine B)a newspaper C)a scientific journal D)a science-fiction novel Which of the following is true of woodcuts? a. delicate lines strengthen inner forms b. bold outlines are used to create details c. sharp lines create shadows d. all of the above cul es el primer mes del invierno? cul es el segundo mes de la primavera? cul es el tercer mes del otoo? cul es el primer mes del ao? cul es el quinto mes del ao? cul es el octavo mes del ao? cul es el dcimo mes del ao? cul es el segundo mes del verano? cul es el tercer mes del invierno? cul es el sexto mes del ao? It's time to write your narrative poem! What story will it tell? How will the action rise to a climax and then fall to a resolution? Your poem must include the following:A clear narrative sequence Sensory languageFigurative language One verb in the conditional mood Two module vocabulary words