Answer:
-7 3/4 (or it can be written as -31/4, an improper fraction)
Step-by-step explanation:
[tex]\left(\frac{1}{2}\right)^2-6\left(2-\frac{2}{3}\right)[/tex] [tex]\frac{1}{4} - 6(2-\frac{2}{3})[/tex] [tex]\frac{1}{4}-6(1\frac{1}{3})[/tex] [tex]\frac{1}{4} - 6 * \frac{4}{3}[/tex] [tex]\frac{1}{4} - \frac{24}{3}[/tex] [tex]\frac{1}{4} - 8[/tex] [tex]\frac{-31}{4}[/tex] [tex]-7\frac{3}{4}[/tex]Therefore, the answer is -7 3/4 as a mixed number and -31/4 as an improper fraction (they're the same thing).
May I please receive help?
Answer:
a) 60° b) 50°
Step-by-step explanation:
The measurements of a triangles total angles is always equal to 180.
In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.
In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.
All you need to do now is subtract 80 from 180 and divide the diffrence by 2.
So, 180-80=100
100/2=50
S=50
Q=50
I hope this helped! :D
Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure
Answer:
Step-by-step explanation:
2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees
Let the smaller angle be x
The larger angle will be 3x+8
X+3x+8=180
4x=180-8=172
X=172/4
X=43
3*43+8= 137
8(11 - x) = 152
Solve for x
-2(x + 3) = -2(x + 1) - 4
Answer:
infinite solution
Step-by-step explanation:
-2 times x is -2x
-2 times 3 is -6
-2 times x is -2x
-2 times 1 is -2
the equation now looks like this:
-2x-6=-2x-2-4
Simplify
-2x-6=-2x-6
0=0
So this is an infinite solution
Hope this helps!
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.
Three of the sides will require fencing and the fourth wall already exists.
If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?
Answer:
where is the figure?? thanks
Find the value of x.
A) 870
C) 127°
E) 66°
B) 106°
D) 100°
Answer:
100
Step-by-step explanation:
y + 140 = 180 {Linear pair}
y = 180 - 140
y = 40
Given triangle is an isosceles triangle.
x + y + y = 180 {angle sum property of triangle}
x +2y = 180
x +2*40 = 180
x + 80 = 180
x = 180 - 80
x = 100
1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?
Distributive property and division property of equality
Subtraction property of equality and division property of equality
Distributive property and collecting like terms property
Addition property of equality and division property of equality
Answer:
B. Subtraction property of equality and division property of equalityStep-by-step explanation:
Given equation:
8.5d + 7.5 = 100 + 3Step 1, subtract 7.5 from both sides:
8.5d = 103 - 7.5Step 2, divide both sides by 8.5:
d = 95.5/8.5Correct answer choice is B
What is 4.4 dvided 1.85
Answer:
2.378378378
Step-by-step explanation:
rounded it would be 2.4
What is the GCF of 10890 and 15400?
Answer:
The Greates Common Factor (GCF) is: 2 x 5 x 11 = 110
10890: 2 335 111115400: 222 55711 GCF: 2 5 11
110 is the GCF of 10890 and 15400.
What are Factors?A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.
GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.
Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....
Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....
By observing the factors of both numbers 10890 and 15400.
110 is the greatest common factor of 10890 and 15400.
Therefore 110 is the GCF of 10890 and 15400.
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I need help pls tyvm :)
Answer:
16. C
17. B
Step-by-step explanation:
All you have to do is plug in the numbers into the pythagorean theorem. The Pythagorean Theorem is: [tex]a^2+b^2=c^2[/tex] Now I encourage you to try these problems out for yourself and see why they're correct. Doing these will help you solve other propblems like this. Remember the hypotenuse is alays the longest side. ;)
When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number
Answer:
It would be 6.
Step-by-step explanation:
6 halved is 3.
3, then 5 added is 8.
Simplify 5^4/5^3
5^7
5^-1
1/5
1/5^7
Answer:
5^4-3
5¹
by law
a^m÷a^n= a^m-n
In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the vertical change from the start of the ride for the coaster after the 20 seconds?
The question is an illustration of arithmetic operations.
The integer that represents the vertical rise is 76
Upward movements are represented with positive, while downward movements are represented with negative.
So, the given parameters are:
[tex]Up = 100m[/tex]
[tex]Down = -72m[/tex]
[tex]Up= 48m[/tex]
The vertical rise is:
[tex]Rise = Up_1 + Down + Up_2[/tex]
So, we have:
[tex]Rise = 100m -72m +48m[/tex]
[tex]Rise = 76m[/tex]
Hence, the integer that represents the vertical rise is 76
Read more about arithmetic operations at:
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On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?
The Monday and Tuesday attendance are illustrations of proportions.
Tuesday's attendance is larger than Monday's 7500
The given parameters are:
[tex]\mathbf{Monday = 4 \times 10^2}[/tex]
[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]
The number of times (n) the Tuesday attendance is larger than Monday's is:
[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]
So, we have:
[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]
[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]
[tex]\mathbf{n = 7500}[/tex]
Hence, Tuesday's attendance is larger than Monday's 7500
Read more about proportions at:
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Graph the inequality on the number line
B>-9 graph
Answer:
-9=9
Step-by-step explanation:
that the answer I think
5. Rewrite the quadratic funtion from standard form to vertex form.
Ax) = 2x2 + 8x + 70
Answer:
[tex]y = 2 {(x + 2)}^{2} + 62[/tex]
Step-by-step explanation:
vertex form is
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
our original equation
[tex]2 {x}^{2} + 8x + 70[/tex]
first we will find the x value using the formula
[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]
plug the value of x back into the original equation to solve for y
[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]
substitute this back into our vertex form and not forgetting the coefficient a = 2
[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]
A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation LaTeX: 1.5s+3.5c=21 represents the relationship between sheets of stickers, LaTeX: s, packs of cardstocks, LaTeX: c, and the dollar amount a kindergarten teacher spent on these supplies.
Answer:
Done
Step-by-step explanation:
Teacher bought $21 worth of stickers and cardstock for his class.
Cost of stickers = $1.50 per sheet
Cost of 's' sheets = $1.5s
Cost of cardstock = $3.50 per pack
Cost of 'c' packs = $3.5c
Equation representing the relationship between sheet of stickers and packs of cardstocks will be,
1.5s + 3.5c = 21
3.5c = -1.5s + 21
1).
y-intercept of the line → (0, 6)
x-intercept of the line → (14, 0)
Therefore, equation of the line represents the line on the graph.
2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.
Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.
(sinα+cosα)^2−(sinα−cosα)^2
Answer:
Error
Step-by-step explanation:
The answer is Error u might want to ask ur teacher
how do I convert Fahrenheit to Celsius? my homeschooling program does a very confusing job at explaining things.
Answer:
start with your fahrenheit then Subtract 32 then divide by 1.8
Step-by-step explanation:
Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm
Answer:
take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root
14 divided by 7,574 I need the answer to be simplified, please
Answer:
0.0243902439
Step-by-step explanation:
Pls answer this question
Answer:
648
Step-by-step explanation:
02 =29283 \y8283 862bh7363 sin tag 2836
6/7 divided by 9/14 simplify help me plsss!
Answer: 3/4
Step-by-step explanation:
9/14 divided by 6/7 is 3/4
Find the reciprocal of the divisor
Reciprocal of 6/7: 7/6
Now, multiply it with the dividend
So, 9/14 divided by 6/7 = 9/14 x 7/6
= 9 x 7 = 63
= 14 x 6 = 84
After reducing the fraction, the answer is 3/4
Hope this helps :)
The division of the fraction 6/7 by 9/15 gives the result 4/3.
To simplify the division of 6/7 divided by 9/14, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, the reciprocal of 9/14 is 14/9.
Now, rewrite the division as multiplication:
(6/7) * (14/9)
To multiply fractions, multiply the numerators together and the denominators together:
= (6 * 14) / (7 * 9)
= 84/63
Now, divide the numerator and denominator by their greatest common divisor, which is 21:
= (84/21) / (63/21)
= 4/3
Therefore, 6/7 divided by 9/14 simplifies to 4/3.
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Correct answer gets brainly!!
Answer:
Part A. the answer is 90
Part B. the answer is 145
Hope this helps :P
Step-by-step explanation:
Write the equation of the line through
(0, 4) and (2, 0) in slope-intercept form.
Answer: y = -2x + 4
Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.
now we need to find the slope. we can do this by plugging the two points into the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. so we'd have [tex]\frac{0-4}{2-0}[/tex] to get -4/2 which is -2. -2 is the slope.
so the final answer is y = -2x + 4
what type of number is 40 squared
a. whole number
b. integer
c. irrational
d. rational
(THE ANSWER CAN BE MORE THAN ONE CHOICE)
Answer:
Step-by-step explanation:
A. C. np
700000x800000000 what is equivalent to 6x+9+-6
Answer:
If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓
Step-by-step explanation:
6x + 3
Answer:
If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓
Step-by-step explanation:
6x + 3
3,5,8,11,17-35odd,47,54,70,78,80,81 pls help
Answer:
54, 78, 70, 47, 80, 81,
Step-by-step explanation:
find midpoint of (7,-3) and (15,-8)
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))
A container has 2 ½ cups of juice in it.
Ping drinks ⅜ cup of juice.
Preston drinks 7/10 cup of juice.
How much juice is in the container now?
Answer: 57/40 or 1 17/40
Step-by-step explanation: 2 1/2 - 3/8 = 17/8 or 2 1/8
17/8 or 2 1/8 - 7/10 = 57/40 or 1 17/40