Given:
A test has 10 questions worth 100 points.
Points of each multiple choice question = 4
Points of each open-response question = 12
To find:
The number of multiple choice questions.
Solution:
Let x be the number of multiple choice questions and y be the open-response questions.
According to the question,
Total question : [tex]x+y=10[/tex] ...(i)
Total points : [tex]4x+12y=100[/tex] ...(ii)
Form (i), we get
[tex]y=10-x[/tex] ...(iii)
Putting this in (ii), we get
[tex]4x+12(10-x)=100[/tex]
[tex]4x+120-12x=100[/tex]
[tex]-8x=100-120[/tex]
[tex]-8x=-20[/tex]
Dividing both sides by -8, we get
[tex]x=\dfrac{-20}{-8}[/tex]
[tex]x=2.5[/tex]
Since x is the number of multiple choice questions, so it cannot be a faction value.
Therefore, the number of multiple choice questions in test are either 2 or 3.
Which represents the constant in the expression: 2x - 8
Answer:
-8
General Formulas and Concepts:
Algebra I
Constants have no variablesStep-by-step explanation:
Step 1: Define
2x - 8
Step 2: Identify
Term 2x
Constant -8
helppp me plzzzzzz ahh
I JUST NEED HELP PLZZ
AND THANK YOU
Answer:
43
Step-by-step explanation:
Based on the pattern of the scatter plot, 43 seems to be the better option.
HELP:
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.
I need the answer quick, and thank you!!!
Answer:
First you can find the rate of change to be 4.25. Then you can subtract 4.25 repeatedly until you get to an output with an input of zero. The initial value is the output when the input is zero. The initial value after subtracting 4.25 three times is 29.50. Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25. Subtract 4.25 repeatedly 3 times to get to an output with an input of 0. Calculate 42.25 – (3 x 4.25). The initial value is 29.50.
Hope this Helps!
Which table of ordered pairs represents a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2.
Answer:
A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.
Step-by-step explanation:
Examining the response options:
A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.
No, as y = 25 not 20 and x = 5 .
A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.
No, y =64 not 48 and x= 4.
A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.
No, y= 25+3*45= 160 not 90 and x = 3.
A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.
Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.
Answer:
C
Step-by-step explanation:
Did the quiz! :D
Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063
kilometers long. Anping Bridge, which was built in China 850 years ago, is 2.07 kilometers long.
a. What is the total span of both bridges?
Show your thinking
b. How much longer is the Anping Bridge
than the Walkway Over the Hudson?
Answer: 4.126 km
Step-by-step explanation:
First, We have to find total span of both bridges
As Question indicates 'total' ,that is, we have to find bridge length in total ( You can join Bridges to have better understanding)
Now, Walkway over hundson Bridge length= 2.063 km
Amping bridge length= 2.07 km
So, Total span of both bridges = 2.063+2.07 = 4.133 km
b) Now Leah wanna walk across and back on walkway over hudson ,that is, she wanna return to starting point from where she walk forth
So,that means, she walk double distance of length of walkway over hudson
So, total distance = 2× 2.063
= 4.126 km
hope this helps,
Plzzs give brainliest if you like my answer.
Math item stem image
does this figure have symmetry
Answer: yes
Step-by-step explanation:
A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?
Answer:
She made a profit of 1,335 cedis
Step-by-step explanation:
Here, we want to calculate the profit made
Profit is selling price - cost price
Her cost price is 65 credits
For her selling price;
she sells 3 for 20 cedis
So the price she sold 210 will be;
(210 * 20)/3 = 1,400 cedis
So the profit made is;
1,400-65 = 1,335 cedis
In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this
number in scientific notation.
Step-by-step explanation:
3.38 × [tex]10^{6}[/tex] is the scientific notation of 3,380,000
Answer:
3.38 x [tex]10^{2}[/tex]
Step-by-step explanation:
I will mark BRAINLIEST IF CORRECT
ignore what i selected please help me
Answer:
- 5/4
Step-by-step explanation:
one factor of x^3-x^2-x+1 is x-1 the other factor is
Pat paid $85.50 for renting a scooter for 6 hours. What was the rate per hour for renting the scooter? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.
Divide $85.50 by 6
$85.50/6 = $14.25
Therefore, the rate per hour for renting the scooter is $14.25
Find the measure of each angle indicated
There are eight slices in a pizza. If Jamal eats two slices, what is the ratio of the number of slices remaining to the number Jamal has eaten
Answer:
6:2
Step-by-step explanation:
If Jamal ate 2 slices, that means there are 6 slices left, and now make a ratio with the slices he ate with the ones remaining. Hope this helps
Answer:
6/2 or 3/1
Step-by-step explanation:
If Jamal ate 2 slices, then there must be 6 remaining.
That is the numerator in our ratio.
We know that Jamal has eaten 2 slices, so our denominator is 2.
We get:
6/2 or 3/1
Hope this helps! :)
Maria has 12 pieces of candy. She ate 1 of the pieces.
How many pieces of candy does Maria have left?
Answer:
The answer is 6 because 12 divided by 2 is 6 and 6 plus 6 is 12
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
1/6 of 12=2 12-2=10 ez
A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?
Answer:
y=17x-55
Step-by-step explanation:
y-(-4)=17(x-3)
y+4=17x-51
y=17x-55
ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0
Answer:
Step-by-step explanation:a or b ?
Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack. The weight of the blue marlin way 12 times as great of the amberjack. The combined weight of both fish was 273 pounds. How much did each fish weight
Answer:
The weight of the blue marlin = b = 252 pounds
The weight of the amber jack = a = 12 pounds
Step-by-step explanation:
Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack.
Let
The weight of the blue marlin = b
The weight of the amber jack = a
The weight of the blue marlin weigh 12 times as that of the amberjack.
b= 12a
The combined weight of both fish was 273 pounds.
= a + b = 273 pounds
b = 12a
Hence
a + 12a = 273 pounds
13a = 273 pounds
a = 273 pounds/13
a = 21 pounds
b = 12a
b = 12 × 21 pounds
= 252 pounds
Hence:
The weight of the blue marlin = b = 252 pounds
The weight of the amber jack = a = 12 pounds
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below.
Answer:
(2, 0)
Step-by-step explanation:
First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)
Equation of a line is y = mx+c
m is the slope
m = y2-y1/x2-x1
m = -7-1/-5-3
m = -8/-8
m = 1
Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;
1 = 1(3) + c
1 = 3 + c
c = 1-3
c = -2
The required equation is y = x - 2
We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;
0.5x - 1 = x - 2
0.5x - x = -2+1
-0.5x = -1
x = -1/-0.5
x = 2
Substitute x = 2 into y = x - 2
y = 2-2
y = 0
Hence the the coordinate point is (2, 0)
Answer: (2,0)
Step-by-step explanation: Because I just took the Unit Test and got 100% on it.
Help pls o answers asap
Answer:
17 to 12
Step-by-step explanation:
it's monkeys to chimps
witch of the following best forms the figure shown. iready
Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points.
Answer:
Finding a tutor for mathematics? If that's the problem
Step-by-step explanation:
Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc
Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...
I have always had problems with math so I am sorry if it doesn't work out for you
Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots
Answer:
4x-27x-54-90=
Step-by-step explanation:
well first you have to subtract x which is -23x
then u have to bring 90+54 on the other side
which then leaves you with
-23x=144
x=-6.260869565217391
can i also get brainliest please
what is the equation for this situation
h(x) = -(x + 3)(x - 2)
Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)
An online bookstore sells all paperback books for "x" dollars each. Aidan bought 7 paperback books and spent $3.95 on shipping. Nina bought 11 paperback books and spent $5.25 on shipping. What expression represents the total amount that Aidan and Nina spent?
Answer:
Aidan: 7x + 3.95 = y
Nina: 11x + 5.25 = y
13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?
Answer:the number is 8
Step-by-step explanation:
Step 1
Let x be the number 13 was subtracted from so that the difference becomes x-13
i. dividing the resulting difference by 5, then (x-13)/5
ii. Multiplying the quotient by 7 makes the expression become (x-13)/5 x 7
with the product coming to -7 we have our final equation as
(x-13)/5 x 7 = -7
Step 2 -----solving the equation
(x-13)/5 x 7 = -7
Ist divide both sides by 7,
(x-13)/5 =-1
cross multiplying gives
x-13=-5
x= -5+ 13
x=8
the number is 8
Given angle FGH - angle LMN, which must be true?
Answer:
A, B, C and E are true. Only D is false.
Step-by-step explanation:
Browning Montana holds the US record for the greatest temperature drop in one day. On January 23, 1916, the temperature changed by an average of -4.17 degrees per hour. To the nearest degree, what was the total temperature change after 24 hours???
Answer:
100°
Step-by-step explanation:
Average temperature change per hour = - 4.17° per hour
Total temperature change after 24 hours
Average temperature change per hour * 24
(-4.17° * 24) = 100.08
Temperature change = 100° (nearest degree)
Which situation does NOT show causation?
A. When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.
B.When the student population at a school increases, the number of teachers at the school increases.
C.When there are more workers on a project, the project is completed in less time.
D.When there is more protein in an athlete’s diet, the athlete scores more points in a game.
I'LL GIVE YOU BRAINLIEST IF YOUR RIGHT
Answer:A
Step-by-step explanation:
