Answer:
4 true false and 8 short answer
Or 15 true false and 5 short answer
Or 26 true false and 2 short answer
Step-by-step explanation:
let x be the number of true-false questions
y be the number of short-answer questions
Then we have to solve the equation 3x + 11y = 100
Important: x and y are natural numbers
3x + 11y = 100 ⇔ 100 - 11y = 3x
If y=10 ⇒ 100 - 11×10 = −10 = 3x impossible because x ≥ 0
If y=9 ⇒ 100 - 11×9 = 1 = 3x impossible because x is a natural number
If y=8 ⇒ 100 - 11×8 = 12 = 3x ⇒ x = 12/3 = 4
Then (x,y) = (4,8) is a solution to the equation
If y=7 ⇒ 100 - 11×7 = 23 = 3x impossible because x is a natural number
If y=6 ⇒ 100 - 11×6 = 34 = 3x impossible because x is a natural number
If y=5 ⇒ 100 - 11×5 = 45 = 3x ⇒ x = 45/3 = 15
Then (x,y) = (15,5) is a solution to the equation
If y=4 ⇒ 100 - 11×4 = 56 = 3x impossible because x is a natural number
If y=3 ⇒ 100 - 11×3 = 67 = 3x impossible because x is a natural number
If y=2 ⇒ 100 - 11×2 = 78 = 3x ⇒ x = 78/3 = 26
Then (x,y) = (26,2) is a solution to the equation
If y=1 ⇒ 100 - 11×1 = 89 = 3x impossible because x is a natural number
If y=0 ⇒ 100 - 11×0 = 100 = 3x impossible because x is a natural number
33-90 divided by 3 HELP ASAP PLS
Willl mark as brainlyest. Please help!!!
Answer:
-6
Step-by-step explanation:
Based on order of operations/ pemdas
Graph the number -3/4
Given : number -3/4 - and number line
To Find : represent -3/4 - on number line
Solution:
Numbers with a negative sign are less than zero
Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.
+ sign numbers can be denoted as simply numbers
On a number line the number increases as we move to the right and decreases as we move to the left.
1 : Draw a line and mark some points at equal distance on it
Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3 and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on
- 3/4
Divide number line between -1 & 0 in 4 Equal parts and go 3 part left of 0 to show - 3/4 on number line
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Find f(-2) for f(x) = 5•3^x
А. 1/45
B. -45
C.-30
D. 5/9
[tex]f(x) = 5 \cdot 3^x\\\\\\f(-2) = 5\cdot 3^{-2}\\\\~~~~~~~~~=5\cdot \dfrac 1{3^2}\\\\~~~~~~~~~=\dfrac 59\\\\\text{Hence the answer is D.}[/tex]
A survey asked students whether they preferred to read on paper (P) or using electronic devices (E). Based on the survey, if a junior or senior is selected at random, what is the probability that the student prefers to read using an electronic device?
In the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A survey asked students whether they preferred to read on paper (P) or using electronic devices (E).
Based on the survey, if a junior or senior is selected at random. Here,
Total number of students is 240.Total number of student prefers to read using an electronic device is 110.Thus, the probability that the student prefers to read using an electronic device is,
[tex]P=\dfrac{110}{240}\\P=0.46[/tex]
Thus, in the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.
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Line segment xy is dilated to create line segment x'y' using point t as the center of dilation. point t is the center of dilation. line segment x y is dilated to create shorter line segment x prime y prime. the length of t x prime is 6 and the length of t y prime is 9. the length of x x prime is 2. what is yt? 3 units 6 units 12 units 15 units
The length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles XYT and X'Y'T are similar to the AA Similarity Theorem
[tex]\dfrac{XT}{YT}=\dfrac{X'T}{Y'T}[/tex]
substitute the given values
[tex]\dfrac{8}{YT}=\dfrac{6}{9}[/tex]
[tex]YT=\dfrac{9\times 8}{6}[/tex]
[tex]YT=12\ units[/tex]
Hence the length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.
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Answer:
b
Step-by-step explanation:
took the test
125% of what number is 476?
Answer:
The answer is 380.8
Step-by-step explanation:
476 is 125% of 380.8
Answer: 380.8
Step-by-step explanation: 125 % of 380.8 is 476 . This means 380.8 is the total because in percentage what comes after the word of is the total . PLEASE GIVE BRAINLIEST .THANKS HOPE IT HELPS .
In the society library, there are 3,98,456 old books. The management decided to add 67,876 new books. How many books will be there in library?
Answer:
do addof. old books and new
Marcos walled his dog around the outside of the dog park.
The park is a rectangle 88,5 meters long and 56.2
meters wide. What is the perimeter of the park?
WILL GIVE 5 STARS ON YOUR ANSWER AND A THANK YOU!!!
Answer:
I would say its B)13.50
Step-by-step explanation:
I say this because he has to buy a ticket for each person continuously so thats why I say this is the constant term added to/ subtracted from the variable term.
Hope this helped! :)
Which table represents a linear function?
X 0 1 2 3 4
Y 2 1 0 -1 -2
Find the inner slope
[tex]\begin{array}{|c|ccccc|} \cline{1-6} x&0&1&2&3&4\\ \cline{1-6} y&2&1&0&-1&-2\\ \cline{1-6} \end{array}[/tex]
to get the slope of any straight line, we simply need two points off of it, hmm from the table let's use hmmm (2 , 0) and (4 , -2)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{-2}{2}\implies -1[/tex]
Step-by-step explanation:
To find the slope, take 2 points from the graph. I'm going to pick (0,2) and (1,1). Whenever we find the slope this way, we need to keep this formula in mind:
[tex] \frac{y2 - y1}{x2 - x1} = slope[/tex]
So, in this case, we need to do this:
[tex] \frac{1 - 2}{1 - 0} = \frac{ - 1}{1} [/tex]
So the answer is -1.
If you need any further explanations, let me know!
Which of the following functions is graphed below?
Answer:
Answer A
Step-by-step explanation:
Two sides of a triangular field measure 11. 1 meters and 13 meters. The included angle measures 98° Find the measure of the third side to the nearest tenth of a meter
Find the volume of the triangular pyramid to the nearest whole number
Answer:
361
Step-by-step explanation:
it's 361 :)........
Create a dot plot of the data shown below. 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24 Which measure of center would best describe a typical value of the data set? Why? would be best, because the data distribution is
The measure of center that would best describe a typical value of the data set is a mean since the values are close.
What is a measure of center?It should be noted that the measure of center include the mean, median, mode, and the mid-range.
In this case, when there is a close distribution of different numbers, he beta measurement will be the mean.
Therefore, the mean of the numbers will be:
= (20 + 21 + 21 + 25 + 20 + 23 + 27 + 23 + 24 + 25 + 26 + 24 + 23 + 22 + 24)/15
= 348/15
= 23.2
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Answer:
The mean would be best, because the data distribution is nearly symmetrical
Step-by-step explanation:
Which of the following most accurately describes the polygon in the diagram?
Answer:
I do not understand either
-12x - 7=53 ill give brainlies
Answer:
x=-5
Step-by-step explanation:
-12x-7=53
+7=+7
-12x=60
divide both sides by negative 12
60/-12= -5
so x =-5
The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The equation with a single variable 'x' is given below.
- 12x - 7 = 53
Simplify the equation, then we have
- 12x - 7 = 53
- 12x = 60
x = 60 / (-12)
x = - 5
The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.
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Translate each verbal phrase into an algebraic expression:
1. 6 inches by the number n
You are making a cover for the rectangular sofa cushion. How much fabric do you need to cover the entire cushion?
5 in.
48 in.
20 in.
Answer:
Measure the height of the cushion if you are covering a box cushion. Multiply the width of the cushion by two and the depth of the cushion by two, and add those numbers together to figure out how much fabric you will need to make the sides, front and back of the box cushion. Add 2 inches for seam allowances.
Step-by-step explanation:
PLEASE HELP THIS IS AP CALCULUS IM LOSING MY MIND
A cup has the shape of a right circular cone. The height of the cup is 16 cm, and the radius of the
cm opening is 4 cm. Water is being poured into the cup at a constant rate of 3 cm. At what rate, in
cm per second, is the water level rising when the depth of the water in the cup is 6 cm? (The volume of a cone of height h and radius r is given by V=1/3pir^2h.
1. 1/64pi
2. 3/pi
3. 4/3pi
4. 9/4pi
Answer:
3. [tex]\dfrac{4}{3 \pi}[/tex]
Step-by-step explanation:
Volume of a cone:
[tex]V=\dfrac13\pi r^2h[/tex]
(where r is the radius and h is the height)
Given:
h = 16 cmr = 4 cm[tex]\implies r=\dfrac14h[/tex]
Therefore, substitute [tex]r=\frac14h[/tex] into the volume formula to find the volume of the cone in terms of h:
[tex]\implies V=\dfrac13\pi \left(\dfrac14h\right)^2h[/tex]
[tex]\implies V=\dfrac{1}{48}\pi h^3[/tex]
Differentiate with respect to h:
[tex]\implies \dfrac{dV}{dh}=3 \cdot \dfrac{1}{48} \pi h^2=\dfrac{\pi h^2}{16}[/tex]
Volume is increasing at a constant rate of 3cm/s:
[tex]\implies \dfrac{dV}{dt}=3[/tex]
Use the chain rule to find [tex]\dfrac{dh}{dt}[/tex]
[tex]\implies \dfrac{dh}{dt}=\dfrac{dV}{dt}\times\dfrac{dh}{dV}[/tex]
[tex]\implies \dfrac{dh}{dt}=3\times\dfrac{16}{\pi h^2}[/tex]
[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi h^2}[/tex]
When h = 6:
[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi \cdot 6^2}=\dfrac{4}{3 \pi}[/tex]
What is the approximate volume of this sphere?
Don't forget to use the formula: V=43πr3
A: 392.5 cm3
B: 523.3¯ cm3
C: 3,140 cm3
D: 4,186.6¯ cm3
Answer:
B: 523.3¯ cm3
Step-by-step explanation:
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 5^3
V = 4/3 * 3.14 * 125
V = 523.333333 cm3
Analyze the expression. 4(0.5x – 8) What expression is equivalent to the given expression? 2x – 32 2 x – 32 2x + 8 2 x + 8 8x – 8 8 x – 8 8x + 32
The given expression is equivalent to 2.0x-32.
We have given that
4(0.5x-8)
We have to determine the equivalent expression.
We have to use the distributive property here
What is the distributive property?a(b+c)=ab+ac
Therefore, by using the distributive property we have,
4(0.5x-8)=2.0x-32
Therefore the given expression is equivalent to the first option
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HELP I WILL GIVE 23 POINTS THIS IS REAL QUESTION
Answer:D)6
Step-by-step explanation:
PLEASE ANSWER ASAP GIVEING BRAINLIST
What statement is true about the frequency distribution below?
A.
It has an outlier.
B.
It has 3 modes.
C.
It has a median equal to the mean.
D.
It has a symmetric distribution.
The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are _____. a. a and b b. B0 and B1 c. y and x d. a and B
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
What is a population model?A population model can be represented by the equation:
[tex]\mu_y=\beta_1x + \beta_o[/tex]
Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
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what is the median of the distribution
Answer:
The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.
Step-by-step explanation:
no
Write an equation of the line in Slope-int form y= 1 /2x+1
Your bill at a restaurant is $42.70. If you were to tip 20%, how much will you tip? What is the total with tip?
Please help me!!!!!!!!
Answer:
A. 7 and 8
Step-by-step explanation:
Mode is the number that has occured the most often. 7 and 8 both occured the most
Answer:
OPTION C
Step-by-step explanation
MODE MEANS THE NUMBER THAT OCCURED THE MOST OUT OF THE BUNCH