Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
What is 15% of 80kg????
Answer:
12 kg
Step-by-step explanation:
15%×80 =
= 15×80/100
= 15×8/10
= 120/10
= 12 kg
Aubrey is putting flooring in a room that is 13 feet long and 10 feet wide. The flooring costs $4.00 per square foot. How much will the flooring for the room cost?
The library is 3.56 kilometers from Maria's house and 1.38 kilometers from Simon's house. How much farther does Maria live from the library than Simon?
Answer: 2.18 kilometres
Step-by-step explanation:
First we take down the information given to us
Maria's house to library (distance) = 3.56 km
Simon's house to library (distance) = 1.38 km
Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house
i.e
3.46km - 1.38km = 2.18km
there for Maria lived 2.18 kilometres farther from the library compared to Simon.
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5
Answer: A on Edge
Step-by-step explanation:
f(x) = (x –1)2 – 7
Answer:
A
Step-by-step explanation:
Please help! Correct answer only!
You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 10. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is odd, you win $25. If the number the ball lands on is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$12.5
Step-by-step explanation:
Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!
. Joanne does a daily walk from building P to building Q. Given point P(6,9) and point Q(5,-4), what is the distance between points P and Q on this campus map of the local college?
Answer:
The distance between points P and Q on this campus map of the local college is 13.038 units
Step-by-step explanation:
We are given that Joanne does a daily walk from building P to building Q
[tex]P=(x_1,y_1)=(6,9)\\Q = (x_2,y_2)=(5,-4)[/tex]
We are supposed to find the distance between points P and Q on this campus map of the local college
We will use distance formula :
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the values in the formula .
[tex]d=\sqrt{(5-6)^2+(-4-9)^2}\\d=13.038[/tex]
Hence the distance between points P and Q on this campus map of the local college is 13.038 units
Answer:
13 feet
Step-by-step explanation:
We use the distance formula:
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
10x + 8 = 3(x - 2)
10x + 8 = 3x
Answer:
1) -2
2) 8/7
Step-by-step explanation:
1) 10x+8=3(x-2)
10x+8=3x-6
10x-3x=-6-8
7x=-14
x=-2
2) 10x+8=3x
10x-3x=8
7x=8
x=8/7
Hope it helps
Pedro walks his dog around Ray D. Hall Park. Jessica walks her dog around Rex Tangle Park. Pedro contends that he walks his dog a longer distance than Jessica walks her dog. Jessica contends the opposite. To settle their debate, they find satellite images of both parks and juxtapose them on a single coordinate grid (shown below). The perimeter of Ray D. Hall Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. The perimeter of Rex Tangle Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. Who should win the debate?
Answer:
the perimeter of Ray D. Hall park is 377 m
and the perimeter of Rex Tangle park is 400 m
and Jessica's walk is longer.
Step-by-step explanation:
Simplify C^5 x c
Plz can someone figure it out cuz I don’t get it
Answer:
c^6
Step-by-step explanation:
So, c is the same as c^ 1 ... therefore
c^5 x c
= c^5 x c^1
When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1
So c^5 x c^1
= c^(5+1)
= c^6
This is the simplest form
Answer: c⁶
Step-by-step explanation:
Notes: A variable without a given exponent has an "invisible" exponent of 1.
When multiplying two values with the same base, add the exponents.
[tex]\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}[/tex]
Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.
Drag and drop the answer to the boxes below to complete the sentence.
145, 0.95
a decrease of, an increase of
5%, 45%, 95%
The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.
Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential decay function:
A = P (1 - r) t
Where:
p = original price
r = decrease rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 =-r
0.05 =r
Converting to percentage form:
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.
Plz answer fast and help mr
Answer:
The median is 47
Step-by-step explanation:
that line in the middle of the box is directly on 47
in parallelogram ABCD, diagonals AC and BD intersect at E. Which statement proves ABCD is a rectangle?
Answer:
AC ≅ BD
Step-by-step explanation:
A parallelogram is a shape that have two pairs of parallel sides with opposite sides having the same length and opposite angles having the same size.
A rectangle is a shape that have two pairs of parallel sides with opposite sides having the same length and each of the four angles is 90°.
A parallelogram is said to be a rectangle if the diagonals of the parallelogram are of the same size (congruent). Therefore in parallelogram ABCD, ABCD is a rectangle if AC is equal to BD. where AC and BD are the diagonals
AC ≅ BD or say Measure of AC = Measure of BD diagonal.
Given that:
ABCD is a parallelogram
AC and BD intersect at E.
A parallelogram is defined as a closed geometric figure that has got 4 straight sides and opposite sides are parallel to each other.
Set of all parallelogram is superset of set of all rectangles.
There is a property about diagonals of a parallelogram that states as;
" A parallelogram is a rectangle if and only if both of its diagonals are equal in size".
Now given parallelogram is ABCD thus its diagonals are AC and BD.
Thus for ABCD to be rectangle we need:
magnitude of AC = magnitude of BC
or
AC ≅ BD
Learn more here:
https://brainly.com/question/1563728
True or false all integers are rational
Answer:
The answer is True
Step-by-step explanation:
All rational numbers are integers
If cot x=v3, calculate (sin x)(cos x)-cos²x
Answer:
[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]
Step-by-step explanation:
Recall the Pythagorean identity for cotangent:
[tex]1+cot^2(x)=csc^2(x)[/tex]
where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:
[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]
We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):
[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]
We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.
Then the requested quantity can be written as:
[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]
picture chart is below
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had three or more absences during the first quarter?
Thanks for all correct answers
Answer:
11%
Step-by-step explanation:
this is simple because there are 4 parts of the pie chart, and we are given 3. the one we don't know we will call x. Since its percents, we know that all of the percents will add up to 100, so we can write an equation.
45 + 23 + 21 + x = 100
to solve, you can subtract 45, 23, and 21 from both sides and you are left with x = 11 which is your solution for how many students had 3 or more absences.
hope it helps!
whoever gets done faster wins
Answer:
2%
Step-by-step explanation:
Solution
0.02*100%
=2%
hope it helps...
Good luck on your assignment
Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?
Answer: 176 free throws
Step-by-step explanation: 4/5 = 80% 80% of 220 = 176
The perimeter of the triangle shown is 40 meters. Write an equation to represent the
perimeter and then solve for the value n.
The sides of the triangle are 11m, (2n+3)m and 16m
Answer:
15m
Step-by-step explanation:
perimeter=total distance round a figure
40m=11m+16m+2n+3m
40m=30m+2n
50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m
How many unique triangles can be made when one angle measures 90° and another angle is half that measure? 1 2 More than 2 None
Answer:
1
Step-by-step explanation:
I'm not sure if I read your question right, but if one angle is 90 and the other should be half the angle 90, the other angle must be 45. Thus, this would create a 45-45-90 triangle. There is no other possibility if one of the angles must be half that of the 90 degree angle.
Answer:
1
Step-by-step explanation:
Write each statement as an algebraic expression.The quotient of the number that is 1 greater than a number b and the number that is twice as large as b.
(b+1)/2b
quotient = divided by
we're dividing a number that is 1 more than b (b + 1), with a number twice as large as b (2b).
state with triangle congruence postulate explain that the triangles are congruent
Answer: d) Angle-Angle-Side (AAS)
Step-by-step explanation:
See image --> I labeled the angles to show ΔABC and ΔCDE
Here is the proof that shows ΔABC ≡ ΔDEC
Statement Reason
1. AB ≡ DE 1. Given
2. ∠B ≡ ∠E 2. Given
3. ∠ACB ≡ ∠DCE 3. Vertical Angles
4. ΔABC ≡ ΔDEC 4. AAS Congruency Theorem
We have 2 angles and 1 side so our only options are AAS or ASA.
We can eliminate ASA because the side is NOT between the angles.
If you follow the path of the triangles; first you have Side (AB ≡ DE), then Angle (∠B ≡ ∠E), then Angle (∠ACB ≡ ∠DCE). We don't have SAA as an option so follow it backwards and you get Angle-Angle- Side (AAS).
if ten coins are spun together, the probability of four or more heads is 0.83. the probability of eight or more is 0.05. find the probability of:
I) less than four. II)fewer than 8
Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
11m-14<7m+14 work out
Step-by-step explanation:
11m - 7m < 14 + 14
4m < 28
m < 28 / 4
m < 7
(a + b)(a2 – ab + b2) = a3 + b3
Answer:
a3 + b3 = a3 + b3
Step-by-step explanation:
I'm not sure what you are asking for but this equation is true if that's the problem.
Multiply all the variables and then combine like terms.
On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!
Which of the following is a solution of y > Ixl - 6?
O (5, -1)
O (-1,-5)
O (-5, 1)
Answer:
i think its the first option
Step-by-step explanation:
help for brainetest pls
Answer:
9 554/603
Step-by-step explanation:
If you add 2/6 and 8/9 you get 554/603. You could try simplifying this answer just to check but I don't think you can simplify it.
Answer:
10 2/9
Step-by-step explanation:
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answer:
Step-by-step explanation:
If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.
Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.
Hope that helped,
-sirswagger21
PLEASE HELP IT IS URGENT How do you find CF?
Answer:
CF = 12
Step-by-step explanation:
∠ CDF = ∠ ABD = 45° ( alternate angles )
Using the sine ratio in right triangle CDF and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CF}{CD}[/tex] = [tex]\frac{CF}{12\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
[tex]\sqrt{2}[/tex] CF = 12[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
CF = 12
help me please it’s on spheres thankyou
Answer:
452.3893421 cm^2
452.4 (to one decimal place)
Step-by-step explanation:
Radius (r) - 6cm
The surface area of sphere = 4pi r^2
therefore:
4 * pi * 6^2
4 * pi * 36
144 * pi
452.3893421 cm^2
452.4 (to one decimal place)
Answer:
Surface area = 452,4
Step-by-step explanation:
radius = 6 cm
Surface area = 4πr²
Surface area = 4(3.1416)(6)²
Surface area = 12.5664 (36)
Surface area = 452, 3904
Surface area = 452,4