Answer:
Multiple Choice: 2 Points Each
Short Response: 4 Points Each
Step-by-step explanation:
This is a system of equations problem.
The way I solved it was by, first, organizing two equations.
m(23)+s(10)=86 and m(28)+s(5)=76
m = multiple-choice question points
s = short response question points
The first equation is your scores. m(23)+s(10)=86
You had 23 multiple choice questions and 10 short response questions. Your score on the test was 86.
The second equation is your friend's score. m(28)+s(5)=76
They had 28 multiple choice questions and 5 short response questions. They scored a 76 on the test.
Solve m(23)+s(10)=86;m(28)+s(5)=76
23m+10s=86 for m
Add -10s to both sides.
23m+10s+−10s=86+−10s
23m=−10s+86
Divide both sides by 23.
[tex]\frac{23m}{23}=\frac{-10s+86}{23}[/tex]
m=[tex]\frac{-10}{23} s+\frac{86}{23}[/tex]
Substitute [tex]\frac{-10}{23} s+\frac{86}{23}[/tex] for m in 28m+5s=76.
28m+5s=76
28( [tex]\frac{-10}{23} s+\frac{86}{23}[/tex])+5s=76
Simplify both sides of the equation.
[tex]\frac{-165}{23} s+\frac{2408}{23} =76[/tex]
Add [tex]\frac{-2408}{23}[/tex] to both sides.
[tex]\frac{-165}{23} s+\frac{2408}{23} +\frac{-2408}{23} =76+\frac{-2408}{23}[/tex]
[tex]\frac{165}{23} s=\frac{-660}{23}[/tex]
[tex]\frac{\frac{-165}{23}s}{\frac{-165}{23}}=\frac{\frac{-660}{23}}{\frac{-165}{23}}[/tex]
s=4
Substitute 4 for s in m=[tex]\frac{-10}{23}s+\frac{86}{23}[/tex]
m=[tex]\frac{-10}{23}s+\frac{86}{23}[/tex]
m=[tex]\frac{-10}{23}(4)+\frac{86}{23}[/tex]
Simplify both sides of the equation.
m=2
Answer:
m=2 and s=4
This is a lot of work. Can I please actually get brainliest?
In the first quarter of the game,the giants gained 5 yards,lost 13 yards,gained 2 yards,gained 6 yards and,unfortunately,lost 12 yards in their final play.
1.Use a number line to depict the Giants' activity in the first quarter.
2.Use addition only to illustrate the Giants' activity in the first quarter.
3.What was the net yardage for the Giants in the first quarter.
Answer:
5 + (-13) + 2 + 6 + (-12) ;
-12 yards
Step-by-step explanation:
5 yards gain = + 5
13 yard loss = - 13
2 yards gain = + 2
6 yards gain = + 6
12 yards loss = - 12
Using addition Rule :
5 + (-13) + 2 + 6 + (-12)
The net yardage :
5 - 13 + 2 + 6 - 12 = - 12
Net yardage = - 12 yards
greatest to least 7. 2.96, 3, 3.48, 31
Answer:
Step-by-step explanation:
2.96, 3, 3.48, 7, 31
Answer:
31, 7, 3.48, 3, 2.96
Step-by-step explanation:
Look at the ones value first. 31 is the highest. Then 7. Between 3 and 3.48, think of 3 as 3.00 so therefore 3.48 is higher than 3.00
Compare the box plots for two data sets.
Which statement is true?
-
Set A
Set A
TI
Set B
20
22
24 26 28
30
32 34
36
38 40
The range for Set B is greater than the range for
Set A
The median for Set A is greater than the median
for Set B.
The ranges for both sets are equal
The medians for both sets are equal.
Answer:
The median for Set A is greater than the median
for Set B.
Step-by-step explanation:
From the boxplot attached, we can deduce the following :
Median (vertical line in between the box on a boxplot).
Median, set A = 30
Median, set B = 29
Range = (Maximum - Minimum. Value)
Set A :
Maximum = 35 ; Minimum = 21
Range = 35 - 21 = 14
Set B :
Maximum = 37 ; Minimum = 24
Range = 37 - 34 = 3
Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.
Math question:
I'm not good at math so pls help me
Answer:
c
Step-by-step explanation:
Answer: D: 1/14
Step-by-step explanation:
1/7 chance of picking orange marble, times 1/2 chance of flipping tails.
1/7 X 1/2 = 1/14
sam said the absoulute value of 14 is -14. Kai said the absolute value of 14 is 14. Who is correct. Explain
Answer:
Kai is right.
Step-by-step explanation:
Absolute Value is always positive.
Answer:
Kia is Right.
Step-by-step explanation:
14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.
when twice a number is increased by 10, the sum is 42.what is the number?
please show work, thanks
Answer:
4) 1400 [tex]in^3[/tex]
5) 304[tex]\Pi[/tex] or 954.56[tex]yd^3[/tex]
6) 315 [tex]ft^2[/tex]
Step-by-step explanation:
[tex]4)[/tex]
[tex]V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400[/tex]
[tex]5)[/tex]
[tex]A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi[/tex]
[tex]V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56[/tex]
[tex]6)[/tex]
[tex]h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}[/tex]
[tex]A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5[/tex]
[tex]A_2 = 2(14 * 8) = 2*112 = 224[/tex]
[tex]A = A_1 + A_2 = 91 + 224 = 315[/tex]
Hello! Would appreciate help!!
Find the value of x. Round to the
nearest tenth.
Answer:
17.14
Step-by-step explanation:
tan 35 = 12/x
x = 12/ tan 35
= 17.14
Arnetta’s monthly gross pay is $4,200 federal withholding is 16.05%
Answer: $3204.06
Step-by-step explanation:
Here's the complete question:
Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.
First, we calculate the Federal witholding which will be:
= 16.05% × $4200
= 0.1605 × $4200
= $674.10
The total deduction will now be:
= $674.10 + $321.30
= $995.40
The net pay will now be:
= Gross pay - Total deductions
= $4,200 - $995.40
= $3204.06
Therefore, Arnetta’s net pay is $3204.06
please help me!!! i’m terrible at math. i’ll mark you brainlist
HELP NEEDED ASAP!!! FASTEST CORRECT ANSWER GETS BRAINIEST!!!
Determine which of the following sampling methods is the best way to select a group of people for a study if you are interested in making statements about the larger population?
•Convenience sampling
•Random sampling
•Purposive sampling
•Quota sampling
Answer: C. Purposive Sampling
Step-by-step explanation:
This sampling is the use of a portion of the population to represent the whole or larger population. If you wanted to make statements about the larger population this would be the best way to go about it.
Ms. Pacheco wrote the following expression. [7 x (4 + 11)] - 9 What is the value of the expression?
Answer: 105x-9
Step-by-step explanation:
Sorry love don’t feel like typing the explanation! :(
Anyone please help I just need help with this problem
Answer:
21.91 meters
Step-by-step explanation:
Since they already give you the hypotenuse, you will find the other missing side using this formula:
A= [tex]\sqrt{c^2 - b^2}[/tex]
So c² = 1,156
and b² = 676
1156 - 676 = 480
------
The square root of 480 is around 21.91
Let's double check, to double check, pretend that you don't know the hypotenuse, but you know the a and b sides.
So: 480.05 + 676 = 1,156.05
[tex]\sqrt{1156.05}[/tex] ≈ 34
-------
Have a good day :)
Please help! I will give Brainliest!
Who is correct?
Answer:
Eric is correct; side must be between 4 and 16 inches
Step-by-step explanation:
triangle inequality theorem:
6 + 10 > x; 16 > x
x + 6 > 10; x > 4
4 < x < 16
A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) = −16t^2 + 4t + 33. At the moment the diver begins her dive, another diver begins climbing the diving board ladder at a rate of 2 feet per second. At what height above the pool deck do the two divers pass each other? Please answer it quickly, it's for my homework.
Answer:
[tex]t = 0.375s[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 4t + 33[/tex] --- driver 1
[tex]Rate = 2ft/s[/tex] -- driver 2
[tex]height = 33ft[/tex]
Required
The time they passed each other
First, we determine the function of driver 2.
We have that:
[tex]Rate = 2ft/s[/tex] and [tex]height = 33ft[/tex]
So, the function is:
[tex]h_2(t) = Height - Rate * t[/tex]
[tex]h_2(t) = 33 - 2t[/tex]
The time they drive pass each other is calculated as:
[tex]h(t) = h_2(t)[/tex]
[tex]-16t^2 + 4t + 33= 33 - 2t[/tex]
Collect like terms
[tex]-16t^2 + 4t + 2t= 33 - 33[/tex]
[tex]-16t^2 + 6t= 0[/tex]
Divide through by 2t
[tex]-8t + 3= 0[/tex]
Solve for -8t
[tex]-8t = -3[/tex]
Solve for t
[tex]t = \frac{-3}{-8}[/tex]
[tex]t = 0.375s[/tex]
Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer
Answer:
No
Step-by-step explanation:
Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .
Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.
The theoretical probability is the example of perfect probability and experimental probability is the example of actual occurrence.
Their formulas are
Theoretical Probability = number of possible outcomes/ total number of possible outcomes
Experimental Probability = number of favorable outcomes/ total number of actual outcomes
If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.
So the experimental probability is bit different from the theoretical probability.
Now if the cards are shuffled and the experiment is repeated 22 times
experimental probability of drawing a vowel would not be the same as the theoretical probability because n is small.
If n→1000 or more
n→∞
According to K. Pearson or Buffon when n tends to infinity the theoretical probability becomes equal to experimental probability.
They experimented this on a coin and put forward their results.
NEED THE ANSWER PLEASE
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex] = 48°
∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°
m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]
m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)
∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°
m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]
∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°
m[tex]\widehat{EG}[/tex] = 89°.
round 11.475 to the nearest percent plz
Answer:
11.5 I think??
Step-by-step explanation:
11.475 rounded to the nearest percent would be 11. Rounded to the nearest tenth would be 11.5
In the diagram shown on the left , three lines intersect to form a triangle . What is the value of x ?
Mrs. McClure's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
Amount of butter need for 1 cup of oil = 2 cup of butter
Step-by-step explanation:
Given:
Amount of butter need for 1/2 cup of oil = 1 cup
Find:
Amount of butter need for 1 cup of oil
Computation:
Amount of butter need for 1/2 cup of oil = 1 cup
1 cup butter = 1/2 cup oil
So,
Amount of butter need for 1 cup of oil = 1 / [1/2]
Amount of butter need for 1 cup of oil = 1 / [0.5]
Amount of butter need for 1 cup of oil = 2 cup of butter
Penny and her cousins each have a different bank balance.what is the sum of all the accounts
Answer:
-2
Tell me if I'm wrong
The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.
Answer:
0 | -6
____
3 | -15
Step-by-step explanation:
just plug in the numbers they give u in the chart
when x = 0 -> y = -3*0-6 = -6
when y = -15 -> -15 = -3x-6 -> x = 3
The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.
x = 0 , y = -3 x 0-6 = -6
y = -15 -> -15 = -3 x-6 -> x = 3
Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
To know more about an equation of the line follow
https://brainly.com/question/28732353
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Which of the following is the solution to the inequality below?
-3/2(x-1/3)> -5x
A. x> -3/35
B. x>2/21
C. x< 2/21
D. x< -3/35
Answer:1/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
3/2*(x-1/3)-(-5*x)>0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
3 1
(— • (x - —)) - -5x > 0
2 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 - (1) 3x - 1
——————————— = ——————
3 3
Equation at the end of step
2
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
3
:
3
Simplify —
2
Equation at the end of step
3
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
4
:
Equation at the end of step
4
:
(3x - 1)
———————— - -5x > 0
2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
-5x -5x • 2
-5x = ——— = ———————
1 2
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(3x-1) - (-5x • 2) 13x - 1
—————————————————— = ———————
2 2
The equation at the end of step
5
:
13x - 1
——————— > 0
2
STEP
6
:
6.1 Multiply both sides by 2
6.2 Divide both sides by 13
x-(1/13) > 0
Solve Basic Inequality :
6.3 Add 1/13 to both sides
x > 1/13
Which Number sentence is true?
Answer:
I took this a few days ago and if I remember correctly, it was B.
Answer:
it would be option B. I used a calculator, so I should be right.
Find US, find MN, find YZ
Answer:
I think the answer it 5
Step-by-step explanation:
Volume (look at the picture)
Answer:
192 is the volume
Step-by-step explanation:
Answer:
192 cubic (measurement you are using)
Step-by-step explanation:
Formula for the volume of a pyramid is length of base times width of height times the height of the pyramid all over 3 so it would be 8x8x9 all over 3 which is 576, and 576 divided by 3 is 192
HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
perimeter =??
Answer:
Perimeter = 55.4
Step-by-step explanation:
8 + 8 + 8.7 + 8.7+ 11 + 11 = 55.4
Hope this helps!
what is 4(2/3x +2) = 3x
Answer:
x = 8
Simplified
3x = 8 + 8/3x
Step-by-step explanation:
4(2/3x + 2) = 3x
8/3x + 8 = 3x
8/3x - 8/3x + 8 = 3x - 8/3x
8 = x
Please help me with my work and I’ll give brainlessly
Answer:
Step-by-step explanation:
volume=15×5×5+8×4×5+8×4×5
=375+160+160
=695 m³
Answer:
695 m^3
Step-by-step explanation:
With this object, there are three rectangular prisms. The equation to find the volume of them is L*W*H.
So, with the small one in the front, the sides are 8, 4, and 5, so do:
8*4*5 ---> 160
Next, with long middle one, the sides are 5, 5, and 15, so do:
5*5*15 --->375
Then, with small one in the back, 8, 4, and 5 again, so do:
8*4*5 ---> 160
To finish it off, add them all together.
160 + 375 + 160 = 695 m^3
Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP
Answer:
g(x)=(x+5)^2
Step-by-step explanation:
the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive
g(x)=(x+5)^2
(x+5)^2=0
x+5=0
x=0-5
x=-5
Good Studies!!!