If c = 7, then
12 - 2c
= 12 - 2(7)
= 12 - 14
= -2
c - 5
= (7) - 5
= 2
=》+2 > -2.
So, c - 5 has greater value than 12 - 2c, if c = 7.
______
Hope it helps ⚜
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.
The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:
[tex]Height = 24\ in[/tex]
[tex]Width = 28\ in[/tex]
From the center of the mirror to the floor of the wall, the distance is:
[tex]Distance =5\frac14\ ft[/tex]
So, the distance to the top of the mirror will be:
[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]
Substitute 24 for height
[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]
[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]
Convert feet to inches
[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]
[tex]Top = 63\ in+ 12 \ in[/tex]
[tex]Top = 75 \ in[/tex]
The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:
[tex]Distance = 8\ ft - 75\ in[/tex]
Convert feet to inches
[tex]Distance = 8\times 12\ in - 75\ in[/tex]
[tex]Distance = 96\ in - 75\ in[/tex]
[tex]Distance = 21\ in[/tex]
Hence, the distance is 21 inches
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Please help me with the math below
Answer:
A. $4.25 per 1 kg of spice
B. 60 : 40 = 3 : 2
Step-by-step explanation:
200 g = 0.2 kg (÷100)
unit price formula: cost ÷ quantity
0.85 ÷ 0.2 = 4.25
set a proportion;
60 3
---- = ---
x 2
3÷60 = 0.05 2
2 ÷ 0.05 = 40
x = 40
hope this helps!
Trignometry plzz helpppp asappp
Answer:
[tex]x\approx4.5[/tex]
Step-by-step explanation:
In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]
[tex]6.7tan(34^\circ)=x[/tex]
[tex]x=6.7tan(34^\circ)[/tex]
[tex]x\approx4.5[/tex]
please help asap!!!!
Answer:
Question 2: 2/3
Question 1: 1/3
Question 3: 20
Step-by-step explanation:
Question 2: 8/4 = 2 & 12/4 = 3.
Question 1: 6/6 = 1 & 18/6 = 3.
Question 3: 10/10 = 1 & 20/10 = 2.
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?
Answer:
35 degrees.
Step-by-step explanation:
Answer:
35 degrees
Step-by-step explanation:
27 - 35 = -8
I need help with solving this with synthetic division
Answer:
Synthetic division is another way to divide a polynomial by the binomial x - c , where c is a constant.
Step-by-step explanation:
Set up the synthetic division.
Bring down the leading coefficient to the bottom row.
Multiply c by the value just written on the bottom row.
Add the column created in step 3.
Como se faz o cálculo 13÷5,2
a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.
Answer:
The answer is 11.6 cm
Step-by-step explanation:
The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)
Now we must input 16 cm into c and 11 cm into either a or b.
a^2+11^2=16^2 which is equal to a^2+121=256.
subtract 121 from both sides to get a^2 by itself
a^2+(121-121)=(256-121)
a^2=135
to get "a" by itself, we must find the square root of 135.
√a^2=√135
a=11.6
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces
Step-by-step explanation:
we need to find how much 14/70 is equal to ? over 100
100/70=1.42857142857
14x1.42857142857=20
Therefore she drinks 20/100 she drinks before she goes on a ride.
or 20%
it's 20
I got it right on iready
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation:
Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I
Answer:
yes a 1/4 probability is 0.25
If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?
Answer:
6.2
Step-by-step explanation: TOOK THE TEST
If my friend answers this question under 5 seconds he's a god
x = 9
Scale size is 3 so multiply all terms in ABC by 3.
Triangle XYZ is shown on the coordinate plane below:
Answer:
(4, -3)
Step-by-step explanation:
X is 4 units away from y=1, so 4 units further away is -3. The Y value of the point stays the same.
explain how to plot the point (-5.5, 3) and identify which quadrant it is in
Answer:
well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2
The x and y axis are negative what's the quadrant or axis
Answer:
Need more information
If you want put a graph or explain more your question
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
O No correlation
Answer:
Negative Correlation
Step-by-step explanation:
Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.
4/5=x/100 solve please
Answer:
x = 80
Step-by-step explanation:
4/5 = x/100
100 · 4/5 = 100 · x/100
100 · 4/5= x
80 = x
x = 80
Hence, The Answer is 80.
can someone solve this trigonometry question?
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.
The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.
The given parameters are:
[tex]Pencils = 2400[/tex] --- the pencils needed
The number of pencils the prism can hold is:
[tex]Prism =60[/tex]
Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)
[tex]n_1 = \frac{Pencils}{Prism}[/tex]
So, we have:
[tex]n_1 = \frac{2400}{60}[/tex]
[tex]n_1 = 40[/tex]
A rectangular prism costs $0.50.
So, the total cost is:
[tex]Total\ cost = 40 \times 0.50[/tex]
[tex]Total\ cost = \$20[/tex]
The number of pencils the cylinder can hold is:
[tex]Cylinder=80[/tex]
Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)
[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]
So, we have:
[tex]n_2 = \frac{2400}{80}[/tex]
[tex]n_2 = 30[/tex]
A cylinder costs $0.75.
So, the total cost is:
[tex]Total\ cost = 30 \times 0.75[/tex]
[tex]Total\ cost = $22.5[/tex]
By comparison, the rectangular prism costs $2.5 less than the cylinder
Hence, the true statement is (a)
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pls help Pls no links
Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
find the zeros of the function f(x) = (x+3)^2-4=0
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
Please help me I have no idea what I'm doing :(
Answer:
x = (-b ± √b² - 4ac)/2a
Step-by-step explanation:
estimate the area of the following irregular shapes
Answer and Explanation: We will find the area of the given shape:
To find the area, we will count the number of squares of the shaded area.
While calculating the area for a more accurate estimate, we count the square as “1” if the shaded region covers more than half of each square. By counting the squares, the area is approximately 50 square units.
A person at rest typically takes 720 breaths in an hour.At this rate,how many breaths does a person take in 15 minutes?
Answer:
180
Step-by-step explanation:
For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.
For each of the geometic series given below, we need to determine if |r| < 1.
For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1
For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1
For a₁ = 3, r = 2, |r| = |2| = 2 > 1
For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1
Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..
So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.
Learn more about infinite sum of geometric series here:
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Find 20%of $2500 what is the answer
Answer:
20% of 2500 is 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
We need to determine 20% of 2500 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2500.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2500 = 100%.
Step 4: In the Same way, x = 20%.
Step 5: On dividing the pair of simple equations we got the equation as under
2500 = 100% (1).
x = 20% (2).
(2500%)/(x%) = 100/20
Step 6: Reciprocal of both the sides results in the following equation
x%/2500% = 20/100
Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500
x = 500%
Therefore, 20% of 2500 is 500
