Answers
Answer:
-4 3/8 thus A. is the answer
Step-by-step explanation:
Simplify the following:
-7/2 - (5/8 + 1/4)
Put 5/8 + 1/4 over the common denominator 8. 5/8 + 1/4 = 5/8 + 2/8:
-7/2 - (5/8 + 2/8)
5/8 + 2/8 = (5 + 2)/8:
-7/2 - ((5 + 2)/8)
5 + 2 = 7:
-7/2 - 7/8
Put -7/2 - 7/8 over the common denominator 8. -7/2 - 7/8 = (4 (-7))/8 - 7/8:
(4 (-7))/8 - 7/8
4 (-7) = -28:
(-28)/8 - 7/8
-28/8 - 7/8 = (-28 - 7)/8:
(-28 - 7)/8
-28 - 7 = -(28 + 7):
(-(28 + 7))/8
| 1 |
| 2 | 8
+ | | 7
| 3 | 5:
Answer: (-35)/8 now converto to a mixed number:
Convert to a mixed number:
-35/8
Divide 35 by 8:
8 | 3 | 5
8 goes into 35 four times. Multiply and subtract:
| | 4 |
8 | 3 | 5 |
- | 3 | 2 |
| | 3 |
The quotient is 4 (the number on top of the bracket) and the remainder is 3 (the number at the bottom of the grid):
| | 4 | (quotient)
8 | 3 | 5 |
- | 3 | 2 |
| | 3 | (remainder) invisible comma
35 = 4×8 + 3
The quotient of 35/8 is 4 with remainder 3, so:
4 3/8
Replace the negative sign:
Answer: -4 3/8
Related Questions
Find the SURFACE AREA of the shape below.
Answers
Step-by-step explanation:
The given shape is a cube.
SURFACE AREA
= 6(a²)
= 6(5²)
= 6(25)
= 150cm²
Answer:
150 cm²
Step-by-step explanation:
Given figure is of a cube, probably like an ICE cube.
Surface area = ?
We know that,
SA of cube = 6a^2Here a denotes edge.
Given that edge is 5 .
Substituting,
6(5^2)6(25)150 cm^2SA of cube = 150 cm²
Which expressions represent the area of the entire shaded region, including the light and dark shading? select three options. 12a cm2 2b cm2 (6a – b) cm2 (12a 2b) cm2 (6a b) cm2
Answers
A triangle is a polygon. The total area of the figure can be represented by 12a, (6a+b), and 2b cm².
What is a triangle?A triangle is a polygon with 3 sides and 3 vertices.
Since the area of a single triangle is a cm², and the shape is formed of 12 triangles, therefore, the area of the 12 triangles will be equal to,
[tex]\text{Area of the complete figure} = 12 \times a = 12a\rm \ cm^2[/tex]
Given that the area of the complete dark portion is b cm², therefore, the area of the 6 triangles with a cm² of area each, and the black portion can be written as,
[tex]\text{Area of the complete figure} = (6 \times a)+b = (6a+b)\rm \ cm^2[/tex]
As the dark portion also consists of 6 triangles with an area of a cm² each and the total sum of this dark area is b cm². Also, the light portion consists of 6 triangles with an area of a cm². Therefore, the total area can be written as,
[tex]\text{Total area} = 6a+6a = b+b = 2b\rm\ cm^2[/tex]
Thus, the total area of the figure can be represented by 12a, (6a+b), and 2b cm².
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1. Jackie is saving money to buy a new cell phone. The cell phone costs $175, but she has
already saved $56. What percent of the cost of the cell phone has Jackie saved?
Answers
Answer:
32%
Step-by-step explanation:
Given that:Jackie is saving money to buy a new cell phone.The cell phone costs $175 she has already saved $56To find:The percent of the cost of the cell phone has Jackie savedIn order to find the percent of the cost of the cell phone has Jackie saved,
divide the cost of the cell phone by the amount of the money Jackie savedMultiply the result (1) by 100See below how it's done:
[tex] \dfrac{56}{175} \times 100[/tex]
dividing yields:
[tex] 0.32 \times 100[/tex]
multiplying yields:
[tex]32\%[/tex]
Alternative:
Instead of dividing,we can consider reducing the fraction and multiply that with 100 to get the answer.
[tex] \dfrac{56}{175} \times 100 \\ \implies \frac{8}{25} \times 100 \\ \implies 8 \times 4 \\ \implies \boxed{32\%}[/tex]
In conclusion:
Jackie has saved 32% of the cost of the cell phone
1 Jill always buys the same kind of
shampoo in an 11.5-ounce bottle. She is
at the store buying more and sees that
the bottle is now bigger and has 20%
more for the same price. How many
ounces of shampoo are in the
new bottle?
A 11.5
B 13.8
C 17.3
D 23.0n in
Answers
Answer:
B 13.8 oz
Step-by-step explanation:
20 % is .20 in decimal
.20 * 11.5 oz = 2.3 oz more than 11.5
2.3 + 11.5 =13.8 oz
need help asapppl !!!!
Answers
Answer:
After 12 days both bamboo plants were 9ft tall
Arnold has recorded the number of chirps per minute ( x) that crickets make
at different temperatures (y).
He has determined that the association is linear and that the line of best fit is y= 1/4x + 50.
What is the interpretation of the slope and y-intercept of this equation?
Answers
Answer:
A)
Step-by-step explanation:
The slope predicts a temperature increase of about [tex]\frac{1}{4}[/tex]º for every increase of 1 chirp per minute. The y-intercepct shows that when the crickets are not chirping (x = 0), the temperature is 50º
A hot air balloon is 1,200 feet above the ground. The angle of depression from the basket of the hot air balloon to the base of a monument is 54°.
Which equation can be used to determine the distance, d, in feet, from the basket of the hot air balloon to the base of the monument?
Answers
Answer:
c
Step-by-step explanation:
And The opposite of the 54 is 1200s. That 1200 go on top and then below the hypothesis D. So Since it's opposite of hypotenuse opposite over hypotenuse, we signed 54 is 1200 over d. Here's what he says, Another way to look at this is like this 1200 Indians. This dash line drew is also 1200 And when it comes to this 54° angle, it's the same thing opposite. 1200 divided by the hypothesis of D.
Which expressions in the box have a value less than 1·· 2, between 1··2and 1, or greater than 1? Write each expression in the correct column in the table. 4 6··82 1 1··81··91 1··41 1··32 7··85··61 4··52 3··42 1 2··31··31 3··5Less than 1··2Between 1··2and 1 Greater than 1
Answers
Answer:
less then 1..2
Step-by-step explanation:
hese are equivalent because 42+35=77 and 7(6+5)=77.
Kaya does homework for 2 2/3 hours. She spends 1/4 of this time doing her science
homework. How much times does she spend doing her science homework?
Answers
Answer:
2/3
Step-by-step explanation:
1/4 is the same thing as 25%
25% of 2 2/3 is 2/3
You can also divide 2 2/3 by 4.
3.5 divided by 470.75 with solution.
Answers
Answer:
0.00743494
Step-by-step explanation:
1.) First start by writing down your equations.
It should look like this: 3.5/470.75
2.) Next you want to move the decimal place equally on both sides.
It should look like this: .00350 divided by .47075
3.) Lastly solve by seeing how many times 47075 goes into 3.5 which results in 0.00743494
a number, x, rounded to 1 decimal place is 3.7. write down the error interval for x
Answers
Answer:
3.65 ≤ x < 3.75
Step-by-step explanation:
We are finding the lower and upper bounds:
The lowest possible number that can be rounded to 3.7 is 3.65 as the 5 makes the 6 go next.
The maximum possible number to 2 d.p that will be 3.74 as the 4 keeps it at 3.7.
But someone can say 3.749 is a bigger number that 3.74 that will get rounded to 3.7
Someone else can argue with 3.7499.
So to solve this argumnet we put 3.75 but we don't include it.
Therefore our final answer is :
3.65 ≤ x < 3.75
Hope this helped and branliest please.
Can someone solve this today please
Answers
Answer:
B
Step-by-step explanation:
4,000 is a constant so i cannot be a rate. That instantly eliminates 'D' as an option. If x = 0 at the very start that means the 4,000 must be how many gallons of water there is initially.
Which function is the same as y = 3 cosine (2 (x startfraction pi over 2 endfraction)) minus 2? y = 3 sine (2 (x startfraction pi over 4 endfraction)) minus 2 y = negative 3 sine (2 (x startfraction pi over 4 endfraction)) minus 2 y = 3 cosine (2 (x startfraction pi over 4 endfraction)) minus 2 y = negative 3 cosine (2 (x startfraction pi over 2 endfraction)) minus 2
Answers
The function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2
How to convert sine of an angle to some angle of cosine?We can use the fact that:
[tex]\sin(\theta) = \cos(\pi/2 - \theta)\\\sin(\theta + \pi/2) = -\cos(\theta)\\\cos(\theta + \pi/2) = \sin(\theta)[/tex]
to convert the sine to cosine.
Which trigonometric functions are positive in which quadrant?In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.In second quadrant(π/2 < θ < π), only sin and cosec are positive.In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.(this all positive negative refers to the fact that if you use given angle as input to these functions, then what sign will these functions will evaluate based on in which quadrant does the given angle lies.)
Here, the given function is:
[tex]y= 3\cos(2(x + \pi/2)) - 2[/tex]
The options are:
[tex]y= 3\sin(2(x + \pi/4)) - 2[/tex][tex]y= -3\sin(2(x + \pi/4)) - 2[/tex][tex]y= 3\cos(2(x + \pi/4)) - 2[/tex][tex]y= -3\cos(2(x + \pi/2)) - 2[/tex]Checking all the options one by one:
Option 1: [tex]y= 3\sin(2(x + \pi/4)) - 2[/tex][tex]y= 3\sin(2(x + \pi/4)) - 2\\y= 3\sin (2x + \pi/2) -2\\y = -3\cos(2x) -2\\y = 3\cos(2x + \pi) -2\\y = 3\cos(2(x+ \pi/2)) -2[/tex]
(the last second step was the use of the fact that cos flips its sign after pi radian increment in its input)
Thus, this option is same as the given function.
This option if would be true, then from option 1 and this option, we'd get:
[tex]-3\sin(2(x + \pi/4)) - 2= -3\sin(2(x + \pi/4)) - 2\\2(3\sin(2(x + \pi/4))) = 0\\\sin(2(x + \pi/4) = 0[/tex]
which isn't true for all values of x.
Thus, this option is not same as the given function.
Option 3: [tex]y= 3\cos(2(x + \pi/4)) - 2[/tex]The given function is [tex]y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2[/tex]
This option's function simplifies as:
[tex]y= 3\cos(2(x + \pi/4)) - 2 = 3\cos(2x + \pi/2) -2 = -3\sin(2x) - 2[/tex]
Thus, this option isn't true since [tex]\sin(2x) \neq \cos(2x)[/tex] always (they are equal for some values of x but not for all).
Option 4: [tex]y= -3\cos(2(x + \pi/2)) - 2[/tex]The given function simplifies to:[tex]y= 3\cos(2(x + \pi/2)) - 2 = 3\cos(2x + \pi) -2 = -3\cos(2x) -2[/tex]
The given option simplifies to:
[tex]y= -3\cos(2(x + \pi/2)) - 2 = -3\cos(2x + \pi ) -2\\y = 3\cos(2x) -2[/tex]
Thus, this function is not same as the given function.
Thus, the function which is same as the function y = 3cos(2(x +π/2)) -2 is: Option A: y= 3sin(2(x + π/4)) - 2
Learn more about sine to cosine conversion here:
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Answer:
a
Step-by-step explanation:
What are all the solutions to the equation sin 2x = 2cos x in the interval [0, 2π)?
Answers
Answer:
[tex]x=\dfrac{1}{2} \pi, \dfrac{3}{2} \pi \quad \textsf{in the interval}\:[0,2 \pi)[/tex]
Step-by-step explanation:
Rewrite the given equation so that it equals zero, using the trig identity:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
[tex]\begin{aligned}\sin(2x) & =2\cos(x)\\\sin(2x)-2\cos(x) & =0\\2\sin(x)\cos(x)-2\cos(x) & =0\\2\cos(x)[sin(x)-1] & =0\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Therefore}:\quad 2\cos(x) & =0\\\cos(x) & =0\\x & =\dfrac{1}{2} \pi \pm 2 \pi n, \dfrac{3}{2} \pi \pm 2 \pi n\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Therefore}:\quad \sin(x)-1 & =0\\\sin(x) & =1\\x & =\dfrac{1}{2} \pi \pm 2 \pi n\end{aligned}[/tex]
[tex]\implies x=\dfrac{1}{2} \pi, \dfrac{3}{2} \pi \quad \textsf{in the interval}\:[0,2 \pi)[/tex]
An equation is formed of two equal expressions. The value of x for which the sin(2x) = 2cos(x) will have solution in the interval [0, 2π) is (π/2) and (3π/2).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation can be rewritten as,
sin(2x) = 2 cos(x)
2 sin(x) cos(x) = 2 cos(x)
2 sin(x) cos(x) - 2 cos(x) = 0
Taking 2cos(x) as common,
2 cos(x) [sin(x) - 1] = 0
Now, the two factors can be written as,
cos(x) = 0
x = (π/2)±2πn, (3π/2)±2πn
sin(x) - 1 = 0
sin(x) = 1
x = (π/2)±2πn
Hence, the value of x for which the sin(2x) = 2cos(x) will have solution in the interval [0, 2π) is (π/2) and (3π/2).
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Merle has found that the probability of randomly drawing a bag of green tea out of a box of assorted tea bags is . If Merle draws 25 tea bags out of the box, which of the following is the best prediction of the number of tea bags that will be green tea?
Answers
Answer:
its dont make since bro what is the fraction?
Step-by-step explanation
divide
According to Howard Jones, what is one historical circumstance that led to support for United States expansion overseas in the 1890s?
Answers
The context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance.
What are context clues?It should be noted that context clues are the hints that are given in a literary work to help readers understand a story.
In this case, the context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance. This was achieved through commercial penetration.
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Which expression is equivalent to 6x - 24?
A. 6(x-24)
B. 6(x-18)
C. 6(x-4)
D. 24(x-6)
Answers
Answer:
C
Step-by-step explanation:
If you factorise 6x-24 you will get 6(x-4) as 6 times x equals 6x and 6 times -4 equals -24.
How many ways are there to deal hands of five cards to each of six players from a deck containing 48 different cards
Answers
Using the combination formula, it is found that there are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.
The order in which the cards are handed to each player is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
For the first player, 5 cards are taken from a set of 48.For the second player, they are taken from a set of 43.For the third for a set of 38, for the fourth from a set of 33, for the fifth from a set of 28 and for the sixth from a set of 23, hence:[tex]T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}[/tex]
[tex]6.4 \times 10^{32}[/tex]
There are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.
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PLS HELP ME ONLY GOT 5 MIN LEFT!!!! LOTS OF POINTS
Answers
Answer:
G is the correct answer
.
.
Do the following lengths form a right triangle? (Also how to tell that they do form a right triangle)
Answers
Answer: Yes this is a right triangle
We can determine this by using the converse of the pythagorean theorem.
a = 5, b = 12, c = 13
[tex]a^2 + b^2 = c^2\\\\5^2 + 12^2 = 13^2\\\\25 + 144 = 169\\\\169 = 169 \ \ \checkmark\\\\[/tex]
Since those a,b,c values work in the pythagorean theorem, this proves we have a right triangle.
Assume another planet is 10^8 million miles away from Earth. If an astronaut in the future can travel 10^5 million miles per week, about how many weeks would it take for her to reach the other planet?
Answers
Answer:
x=1000
Step-by-step explanation:
10⁵x= 10⁸
x= 1000
Which equation matches the table? (I have a screenshot)
If I get this wrong I will lose my 57 streak :(
Answers
Answer:
b-2a
Step-by-step explanation:
this is beacuse when u find the slope u look in the chart and divide the numbers and will give u the sum of 2
8/4
8/12
12/16
Answer:
b=a+4
Step-by-step explanation:
Its a 58 streak now :)
1. Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A. Of those students, 1/9 got a perfect score. How many students got a perfect score?
2. Using the information from the problem above, what fraction of the total students got a perfect score on the test?
Answers
Answer: 1/30
Step-by-step explanation:
3/10 of 90 = 27
1/9 of 27 = 3
3/90 = 1/30
Answer:
3 1/30
Step-by-step explanation:
90 * 3/10 got A
of these 1/9 = perfect
90 * 3/10 * 1/ 9 = 3
3 out of 90 = 3/90 = 1/30
select expression that is equivalent to (x^2-9) please help
Answers
Answer:
D (x-3)(x+3)
It's the difference of two squares
what is the domain of h
Answers
what is the area of a circle with the radius of 5ft
Answers
Answer:
25pi or 78.54
Step-by-step explanation:
The formula for the area of a circle is pi*r^2
We know that r=5ft
A=pi*(5ft)^2
A=25pi ft2
You can write it as 25pi ft2 but you can also write as 25*pi ft2 which is about 78.54 ft2
Hope that I helped :)
Find the value of each variable. Show all the work
Answers
Answer:
x° = 45°
y° = 90°
z° = 45°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ z° + 135° = 180°
⇒ z° = 180° - 135°
⇒ z° = 45°
The dashes on the side lengths mean that the sides are of equal length. Therefore this is an isosceles triangle. The base angles of an isosceles triangle are equal.
⇒ x° = z°
⇒ x° = 45°
The sum of the interior angles of a triangle is 180°
⇒ x° + y° + z° = 180°
⇒ 45° + y° + 45° = 180°
⇒ y° = 180° - 45° - 45°
⇒ y° = 90°
The interquartile range is
Answers
Answer:
11.
Step-by-step explanation:
Lower quartile = (12 + 8) /2 = 10
Upper quatrile = (20+22)/2 = 21
Interquartile range = 21-10 = 11,
simplifi the expresion 3^-3
Answers
Answer:
0,(037)
Step-by-step explanation:
At this question, if I understood correctly, the answer for that is 0,037037037037...
You can write it as 0,(037)
I hope that I helped :)
A researcher is interested in knowing whether responses to lowering the legal age for drinking alcohol varies by gender. Which statistical test would be most appropriate for this type of data
Answers
The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.
What is a chi-square test?A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.
Chi squared = [tex]\frac{(O_{i} - E_{i} )^{2} }{E_{i} }[/tex]
Where:
[tex]O_{i}[/tex] = observed value[tex]E_{i}[/tex] = expected value.The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.
To learn more about chi-square, please check: https://brainly.com/question/14082240