Answer:
Peter needs to get 36 problems correct to get 12 stars
Step-by-step explanation:
for every 3 correct answers, Peter gets 1 star
1/3
if he wants 12 stars he will have to get 'x' amount of questions correctly
considering this is constant, 1/3 will have to equal 12/x
[tex]\frac{1}{3} = \frac{12}{x} \\\\1x = 36\\[/tex]
1x = x, so you don't need to do anything to 36
therefore the answer is that you need to get 36 problems correct to get 12 stars
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
The equation of a line is expressed as y = mx + b
m is the slope of the lineb is the y-interceptFor the blue line;
m = 1
Since the line cuts the line at y = 1, hence the y-intercept is 1
The required equation of the red line will be y > x + 1
For the red line;
m = 1
Since the line cuts the line at y = -2, hence the y-intercept is -2
The required equation of the red line will be y < x - 2
Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1
Learn more on inequality graph here: https://brainly.com/question/9774970
Answer:
B Or y < x – 2 and y > x + 1
Step-by-step explanation:
y < x – 2 and y > x + 1
Brainliest, 40 points
(4a³+6a²-10a-4)+(6a²+a²+a+7)
(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)
10a³+7a²-9a+3
OPTION D is the correct answer
Answer:
option d is the correct answer
I hope it helped U
stay safe stay happy
The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?
Hello,
Perimeter of a rectangle : 2 * (length + width)
Area of a rectangle : length * width
We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.
Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :
2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y
x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0
⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0
⇔ y = 2 ou y = 3
x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2
S = {(3 ; 2) ; (2 ; 3)}
The width of the rectangle is 2 or 3 feet.
:-)
PLEASE I REALLY NEED HELP
Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (-3x¹,y¹). (-3x²,y²), (-3x³, y³), and (-3x⁴, y⁴), will the science classroom be congruent to the math classroom?
The lengths of the horizontal sides of the science class is larger than the
length of the horizontal side of the math class.
The correct option is; No, the the transformation applied was not a rigid motion.
Reasons:
The given vertices of the science classroom are;
(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)
The coordinates of the vertices math classroom are;
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)
Whereby x₁ = x₄, we have;
Length of the vertical side of the rectangular math class = y₁ - y₄
Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁
Similarly;
The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)
Therefore;
[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]
The length of a side of the science is three times the length of the side of
the math class, which gives that the dimensions of the science class are not
the same as the the dimensions of the math class.
Therefore;
The science class and the math class are not congruent
The the correct option is, no the transformation that gives the science class from the math class is not a rigid transformation.Learn more about non-rigid transformation here:
https://brainly.com/question/2396426
Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?
Answer:
y=-1/2x-4
Step-by-step explanation:
Hi there!
We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)
Parallel lines have the same slopes, but different y intercepts.
So let's find the slope of x+2y=14
we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides
2y=-x+14
divide both sides by 2
y=-1/2x+7
so the slope of x+2y=14 is -1/2
The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).
Here's the equation of that line so far:
y=-1/2x+b
we need to find b (y intercept)
as the equation will pass through (-8,0), we can use it to solve for b
substitute -8 as x and 0 as y
0=-1/2(-8)+b
multiply
0=4+b
subtract 4 from both sides
-4=b
substitute into the equation
y=-1/2x-4
Hope this helps! :)
10) The second angle in a triangle is 3° less than twice the first angle. The third angle measure 8° more than
twice the first angle Find each angle.
Answer:
35, 67 and 78
Step-by-step explanation:
the angles are:
n, 2n-3 and 2n+8
there are 180 degrees in a triangle, so adding those terms together will give us 180
5n + 5 = 180
180 - 5 = 175
5n = 175
175 / 5 = 35
n = 35
now we have n we can put it in to the formula we have for the angles at the start:
n = 35
2n - 3 = 67
2n + 8 = 78
so the angles are
35, 67 and 78
plz help me it worth 50% of my grade tell wethere it’s proportional of not
Answer:
2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.
Step-by-step explanation:
Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.
Number 3 does not go through the origin, so number 3 is also not proportional.
Number 5 is proportional since when you divide y by x, it is always 7.
Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.
in the given parallelogram ABCD, find the value of x and y
Answer:
see explanation
Step-by-step explanation:
(a)
The consecutive angles are supplementary, sum to 180° , then
3y + 2y - 5 = 180
5y - 5 = 180 ( add 5 to both sides )
5y = 185 ( divide both sides by 5 )
y = 37
Then ∠ A = 3y = 3 × 37 = 111
The opposite angles are congruent , then
3x + 3 = 111 ( subtract 3 from both sides )
3x = 108 ( divide both sides by 3 )
x = 36
---------------------------------------------------------------------
(b)
The diagonals bisect each other , so
x + 8 = 16 - x ( add x to both sides )
2x + 8 = 16 ( subtract 8 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
and
5y + 4 = 2y + 13 ( subtract 2y from both sides )
3y + 4 = 13 ( subtract 4 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
NEED HELP FAST!!!! PLEASE HELP!!
Answer:
AB: 3
BC: 5
CD: 3
DA: 5
Step-by-step explanation:
You’re welcome
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli. The correct value of t* to construct a 98% confidence interval for the true mean amount of cheese filling is ________. Group of answer choices 2.797 2.492 2.064 3.467 3.745
Answer:
The correct value is t* = 2.492.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.
find the measure of angle TFM
Answer:
130°
Step-by-step explanation:
angle TFM + angle MFD = 180° (being a linear pair)
or, 4m + 142° +2m + 56°= 180°
or, 6m= 180°- 198°
or, m= -18°/6
so, m= -3°
now, angle TFM = 4m +142°= -12°+142°= 130°
A circle P is circumscribed about a regular hexagon ABCDEF
Arc AB =
Select one:
a. 60
b. 120
c. not enough information
d. 90
Answer:
angle degrees is 60
so the answer would be A
Step-by-step explanation:
because there are 6 sides, 360 is divided by 6.
Solve the following equation for x.
18 – 4.x = 10 - 2x
A x = -4
B) x = -1
C) x = 1
D) x =4
Answer:
D) x = 4
Step-by-step explanation:
18 - 4x = 10 - 2x
10 - 2x = 18 - 4x
10 - 2x + 4x = 18 - 4x + 4x
10 + 2x = 18
10 - 10 + 2x = 18 - 10
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
Simplify using suitable property. Also name the property used:-3/5 x 4/7 + 8/5x 4/7
Answer:
The answer is 4/7 and the property used is the distributive property
Step-by-step explanation:
Recall from the distributive property;
a * (b + c) = ab + ac
Applying same here, we have it that;
4/7 (-3/5 + 8/5)
= 4/7 * ((-3 + 8)/5)
= 4/7 * 5/5
= 4/7 * 1 = 4/7
Help me please! It’s timed
Answer:
x=36.08
Step-by-step explanation:
Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]
DF=55
and DE= x
To find the value of x
According to trigonometry rule,
[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]
Therefore, the value of x will be 36.08
The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?
Answer:
17%
Step-by-step explanation:
Percent decrease
[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection
so they all will make 61°
Which situation has a probability of 1/2?
A. picking the number “5” from the integers 1 to 10
B. rolling an odd number on a fair 6-sided number cube
C. randomly choosing the letter “s” from the word “Mississippi”
D. randomly choosing a boy out of a class containing 8 boys and 12 girls
Answer:
a
Step-by-step explanation:
1/2 of 10 is 5
Answer: b
Step-by-step explanation:
there are 6 numbers on a regular dice. 3 even, 3 odd
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Pls help with this, I do not know what to do
Answer:
The correct answer would be A
Step-by-step explanation:
Determine the general rule for the sequence 19;11;3;.....
Answer:
Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23
Step-by-step explanation:
Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula.
Answer:
[tex]a_{n}[/tex] = 27 - 8n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 19 = 3 - 11 = - 8
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 19 and d = - 8 , then
[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule
see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?
Answer:
2r² - 60r - 45 = 0
Step-by-step explanation:
Hang on this is going to be convoluted
------------------------------
Area of pond
a = πr²
Area of path
a = πr²/10
Combined Area
a = πr² + πr²/10
a = π(r² + r²/10)
---------------------------
The Combined Area can also be expressed as
a = π(r + 1.5)²
a = π(r² + 3r + 2.25)
-----------------------------
Set the areas equal
π(r² + r²/10) = π(r² + 3r + 2.25)
Divide both sides by π
r² + r²/10 = r² + 3r + 2.25
Subtract r² from both sides
r²/10 = 3r + 2.25
Multiply both sides by 20
2r² = 60r + 45
Subtract 60r + 45 from both sides
2r² - 60r - 45 = 0
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 6+(x+5)The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]
Combine like terms and solve for x.
[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]
Then we substitute the value of x in ages to find these three people ages.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
Solve the system of equations below using the elimination method.
Show how you determined your solution.
4x+y=23
3x-y=12
Answer:
The solution is (5, 3)
Step-by-step explanation:
To solve this system of linear equations, let's use elimination by addition and subtraction. This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:
4x+y=23
3x-y=12
---------------
7x = 35
Then x must be 5.
Substituting 5 for x in the first equation, we get
4(5) + y = 23. Then 20 + y = 23, or y = 3.
The solution is (5, 3)
Find the mean absolute deviation of the following numbers. 10, 8, 5, 12, 20
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
Math help please show all work thanks !
Answer:
500 1/8" (500.125 inches)
I didn’t mean to click C but yea I need help
Answer:
C.
Step-by-step explanation:
It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.
