Answer:
Final Answer: Statements 1, 2 and 4 are correct.
Step-by-step explanation:
Finding value of y:
2y + 3 = 15 => 2y = 12 => y = 6;
Finding value of x:
6x + 5 = 77 => 6x = 72 => x = 12;
Statement Number 1:
y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?
Yes, 36 is bigger than 24, therefore statement one is correct.
Statement 2:
x = 2y ? => 12 = 2 * 6? => 12 = 12?
Yes, 12 is equal to 12. Statement 2 is correct.
Statement 3:
x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?
No, 14 is not equal to 16. Statement 3 is incorrect.
Statement 4:
y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?
Yes, 10 is bigger than 8. Statement 4 is correct.
If this helped you please rate
Final Answer: Statements 1, 2 and 4 are correct.
it takes 0.75 cups of sugar to make a batch of lemon cookies i have 5.5 cups of sugar how mant batches can i make
Answer:
7.3
Step-by-step explanation:
Enter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
Answer:
[tex]-\frac{3p^8}{4q^3}[/tex]
Step-by-step explanation:
[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex] can be broken down into three fractions, coefficients, powers of p, powers of q.
[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]
Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.
[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]
Someone please help!
Answer:
f(3)= 12
Step-by-step explanation:
if f(1)= 4 then f(3)= 12
Which statement must be true?
Among the youth that vape, what percentage smoke e-cigarettes with special flavorings? a 40% b 50% c 85% d more than 95%
Answer:
d. more than 95%
Step-by-step explanation:
According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.
As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.
What is the surface area of the prism?
1.
5 in.
4 in.
5 in
Answer:
140
Step-by-step explanation:
PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!
Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…
Answer:
60% of the test scores are less than or equal to 82
Step-by-step explanation:
Please do all four, thanks :)
I'm feeling generous today *40 points*
Step-by-step explanation:
A. x^2-9x+18
B. x^2-8x+16
C. 2x^2-5x-12
D. 12x^2-31x+7
The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?
Answer:
40 degrees
Step-by-step explanation:
sum of angles in a triangle = 180 degrees
if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85
marked interior angle = 180 - (85 + 55) = 40 degrees
Answer:
As ewomazinoade states 40° should be the correct answer.
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
20 POINTS! The managers of an automotive insurance company investigated whether the customers in region A have a higher proportion of speeding tickets than the customers in region B. The managers selected 154
customers from region A at random and found that 79 have had a speeding ticket. The managers also selected 148 customers from region B and found that 67
have had a speeding ticket.
To test whether the results could be explained by random chance, the managers simulated 1,000 rerandomizations of the data and then subtracted the sample proportion of region B from the sample proportion of region A in each of the simulations. The table shows the results of the differences.
SEE PICTURES BEFORE ANSWERING
Answer:
Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
2) 2(8r + 5) = 24 + 9r
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
Can You Help Me With This Please?
Answer:
Step-by-step explanation:
Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!
what is 6/10 in simplist form
Answer:
3/5
Step-by-step explanation:
both 6 and 10 divide by 2. divide each number by 2 and you get 3/5
Answer:
3/5
Step-by-step explanation:
To find the simplest form of 6/10, you must reduce the fraction.
I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).
Hope this helps :)
A coke can and a monster can are each in the shape of a right circular cylinder. The cans have the same radius but the height of the monster can is 2 times the height of the coke can. What is the ratio of the volume of the coke can to the volume of the monster can
Answer:
1 : 8
Step-by-step explanation:
Given the height of 2 similar cylinders = a : b , then
ratio of volumes = a³ : b³
Here the ratio of heights = 1 : 2
ratio of volumes = 1³ : 2³ = 1 : 8
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
Which will he pay if he has an unpaid balance of $216?
A) $25
B) 15%
Answer:
He has to pay 15% as that is 32 and more than $25
Step-by-step explanation:
If you take 15% out of 216 it will become 32.
A rectangular logo is made up of 3 squares and 8 small squares the length of the rectangle is 36 cm
Find the area of the logo
Answer:
The total area is 594cm.²
Step-by-step explanation:
The top and bottom each have a length of 36 cm.
Blue side:
36/3= 12cm. (36/3 for the length of one side of a blue square)
12*12= 144cm.² (area of one blue square)
144*3= 432cm.² (area of all the blue squares)
Orange side:
36/8= 4.5cm. (the length of one side of an orange square)
4.5*4.5= 20.25cm.² (the area of one orange square)
20.25*8= 162cm.² (the area of all the orange squares)
Total area:
432+162= 594 cm.²
I hope this makes more sense, have a great day :D
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?
Answer:
the correct answer is 5 snowmen
What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)
Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
hope it helps...
have a great day!!
Amy bakes x cakes.
Barry bakes four times as many cakes as Amy.
Ceri bakes 12 more cakes than Amy.
They bake a total of T cakes.
Find a formula, in terms of x, for the total number of cakes.
Give your formula in its simplest form
Answer:
6x+12=T
Step-by-step explanation:
Amy bakes x cakes.
Barry bakes 4x.
Ceri bakes x+12
So the total is 6x+12=T
Solve the inequality and describe the solution set.
y–6≥12
Answer:
y ≥ 18
All numbers greater than or equal to 18
Step-by-step explanation:
y – 6≥ 12
Add 6 to both sides
y ≥ 18
All numbers greater than or equal to 18
What is the value of
NICO
?
81
16
16
81
16
81
81
16
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))
Answer:
3) 522
4) 468
Step-by-step explanation:
hello!
3) in the question, it says the cross section is a square, and the area of PQRS is 81.
for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)
with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.
both squares : 81+81=162
both 10 by 9 sides: 90+90=180
both 10 by 9 sides (top and bottom): 90+90=180
total surface area=162+180+180=522
4) for this problem, we can see that the triangle is a right triangle.
to solve the area of the triangle, we can do (9*12)/2=108/2=54.
there are two sides with triangles, so we double 54 (54*2=108)
9 by 10 side: 90
10 by 12 side: 120
now for the last slide, theres no information on the length. the formula for the diagonal is
a^2+b^2=c^2
which is
9^2+12^2=81+144=255=15^2
with this, the area of the rectangular side gives us 10*15 which is 150.
adding it together, we get
108+90+120+150=468.
hope this helps!
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
Inscribed angles math lib
Need help with number 2 , 3 , and 4 thank you!!!
Answer:
See solutions below
Step-by-step explanation:
2) angle at the vertex is half that of its intercepted arc;
51 = 1/2(14x-38)
51*2 = 14x-38
102 = 14x-38
14x = 102 + 38
14x = 140
x = 140/10
x = 14
3) 9x+7 = 1/2(68)
9x + 7 = 34
9x = 34-7
9x = 27
x = 27/9
x = 3
4) 114 = 1/2(30-(8x-36+40))
114 = 1/2(360-8x+36-40)
114*2 = 356 - 8x
-8x = 228-356
-8x = -128
x = 128/8
x = 16
Answer:2
Step-by-step explanation:
51+14x-38=180
13+14x=180
14=167
X=12
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
AREA OF A CIRCLE HELP PLS
Answer:
201.06
Step-by-step explanation:
pi × 8²
SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.
Answer:
Answer: 3 feet
Step-by-step explanation:
Here's the complete question:
The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.
Note that Volume of a cylinder = πr²h
where Volume = 235.6 feet³
Radius = 5 feet
Height = Unknown
Then, we put the values back into the question and this will be:
V = πr²h
235.6 = 3.14 × 5² × h
235.6 = 3.14 × 25 × h
235.6 = 78.5 × h
h = 235.6 / 78.5
h = 3 feet
The height is 3 feet
Step-by-step explanation: