Answer:
x = -1
y = 3
Step-by-step explanation:
y + 2x = -1
y = 1/2x + 4
(1/2x + 4) + 2x = -1
1/2x + 2x + 4 = -1
2 1/2x + 4 = -1
2 1/2x = -1 - 4
2 1/2x = -5
x = -5 / 2 1/2
x = -2
y + 2x = -1
y + 2(-2) = -1
y - 4 = -1
y = -1 + 4
y = 3
What is the largest of three consecutive odd integers whose sum is 105.
HELP ASAP PLSSSSS just fill it in
Step-by-step explanation:
[tex]y = a {b}^{x} \\ approximately \\ y=25.9*1.278^x[/tex]
find the l distance between (-13,3.5) and (17,2)
Wen and five friends equally share 1/3 of a pan of snack bars. Which expression shows how much of the pan each person gets?
Answer:
Step-by-step explanation:
I'm pretty sure the expression is 1/3 ÷ 6
This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.
So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)
please help me with this please
Answer:
4 feet
Step-by-step explanation:
Let x be the height of the tower when finished.
We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.
This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.
5/8*x=2 and 1/2
Let us convert our given mixed fraction into an improper fraction.
5/8*x=5/2
Let us multiply both sides of our equation by 8/5.
8/5*5/8*x=5/2*8/5
x=8/2
x=4
Evaluate the expression below.\
(4.4+7.6)x-(24/12)x
Answer:
10x
Step-by-step explanation:
Answer:
10x
Step-by-step explanation:
The sum of three consecutive numbers is 405. What is the
3rd numbers
Answer:
136
Step-by-step explanation:
Let the three consecutive numbers be a, a + 1, a + 2
Therefore,
a + a + 1 + a + 2 = 405
3a + 3 = 405
3a = 405 - 3
3a = 402
a = 402/3
a = 134
Third number = a + 2 = 134 + 2 = 136
Asha is hungry. She eats her best friend, Skye. She also eats 10 other people. 10% of them are female. How many males did Asha eat?
Answer:
9.9, if rounding 10
Step-by-step explanation:
1 (best friend) + 10 (other people)=11 (total people)
10% are female
90% are male
.9*11=9.9
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times the inverse tangent of the quantity x squared divided by 4, plus C one fourth times the natural log of x to the 4th power plus 16, plus C one fourth times the inverse tangent of the quantity x squared divided by 4, plus C the product of negative one fourth and 1 over the quantity squared of x squared plus 16, plus C
Answer:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]
Required
Solve
Let
[tex]u = \frac{x^2}{4}[/tex]
Differentiate
[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]
[tex]du = 2 * \frac{x}{4}\ dx[/tex]
[tex]du = \frac{x}{2}\ dx[/tex]
Make dx the subject
[tex]dx = \frac{2}{x}\ du[/tex]
The given integral becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 4u[/tex]
Square both sides
[tex]x^4= (4u)^2[/tex]
[tex]x^4= 16u^2[/tex]
Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]
Simplify
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
In standard integration
[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]
So, the expression becomes:
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]
Recall that: [tex]u = \frac{x^2}{4}[/tex]
[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]
help, i need you to find the area
Answer:
98
Step-by-step explanation:
Formula Base * Height
7*14=98
Answer:
77 inches
Step-by-step explanation:
The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.
Hope it helps!
In a shop, a TV has a normal price of £500
The shop has a sale.
On Monday, the normal price of the TV is reduced by 1/10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%
Chris wants to buy the TV.
He has £400 to spend on the TV.
Does Chris have enough money to buy the TV on Tuesday?
Answer:
400> 360
Step-by-step explanation:
1/10 X 500 = 50
500 - 50 = 450
10% = 450/ 10 = 45
20% = 45 x 2 = 90
450 - 90 = 360
Chris does have enough 400> 360
Help me with this. 30 points. Don't put bad answer please.
Answer:
The answer is A
Step-by-step explanation:
No 30 points put I ranked up
Thx
The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD
Answer:
D. [tex] 9 \sqrt{2} [/tex]
Step-by-step explanation:
Side length of square = Perimeter/4 = 36/4 = 9
Length of diagonal (x)
[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]
The diagram shows the dimensions of a new parking lot at Helen's Health Food store
Look at the triangles shown below.
z
2
6
E
А
3 D
Which statement is true?
(Ity)
O SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2 6
(aty)
SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2
9 3
o SinceAAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
6 3
o Since AAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
NOH OH
T
Answer:c
Step-by-step explanation:
The statement which is true for the given expression triangle is, 9/(x + y) = 3/x. So option c is correct.
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔAEC
one segment BD which is intersecting sides AC & AE
ΔAEC has one similar triangle inside, which is ΔADB
Triangle ΔAEC and ΔADB similar,
So, we can say ΔAEC ≈ ΔADB
For the given similar triangles,
we can use angle-angle similarity property,
so, AE/AC = AD/AB
⇒ (3+6)/(x + y) = 3/x
⇒9/(x + y) = 3/x
Hence, the Statement C is correct
To know more about properties of triangles check:
https://brainly.com/question/8476788
#SPJ6
A group of students organized a car wash to raise money for a local charity. In 3 hours, they washed 12 cars. If the students keep washing cars at the same rate, how many cars did they wash in eight hours?
Answer:
32 cars
Step-by-step explanation:
3 hours = 12 cars
3/3 = 1
12/3 = 4
1 hour = 4 cars
x8 x8
8 hours = 32 cars
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
HELP PLEASE!!
100 POINTS!!
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]
First, by the quotient property:
[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]
Since they both have the same base, their exponents must be equivalent:
[tex](-x+4)-(-3)=2x+1[/tex]
Solve for x. Simplify:
[tex]-x+7=2x+1[/tex]
Therefore:
[tex]3x=6\Rightarrow x=2[/tex]
Answer:
x=2
Step-by-step explanation:
:]
integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?
true or false? help pleasee
in which table is y a linear near function of x will mark brainest
possibly c, I'm not that good with math
pls give brainliest
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
Match these together
1 similar figure
2 congruent
3 corresponding sides
4 corresponding angles
a. angles that have the same measure are _______.
b. sides in the same relative position. In similar figures they are proportional.
c. Figures with the same shape but no necessarily the same size
d. angles in the same relative position. in similar figures they are congruent
BRAINLIEST Write an equation that represents the line
Use exact numbers
Answer: Steep. Its 50% steep.
the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?
Answer:
let length be l and breadth 1/4×l
perimeter of the rectangle =600ft
2(l+1/4×l)=600ft
(4l+l)/4=600/2
5l=300×4
l=1200/5=240ft
Step-by-step explanation:
240ft is the length of a rectangular.
Can someone please help me
Answer:
A. 1200
Step-by-step explanation:
Speed in meter per minute
= (216*1000)/(3*60)
= 216000/180
= 1200
Answer:
A. 1200
Step-by-step explanation:
Distance travelled (d)
= 216 km
= 216000 m
time taken (t)
= 3 hours
= 3 * 60
= 180 min
Speed (s)
= d / t
= 216000/180
= 1200 m / min
The speed of the car is 1200 metres per minute.
4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1
Answer:
D. 25p² - 1
Step-by-step explanation:
Each side length of a square = 5p
Length of rectangle = 5p + 1
Width of the rectangle = 5p - 1
Area of rectangle = Length × Width
Area of rectangle = (5p + 1)(5p - 1)
= 5p(5p - 1) +1(5p - 1) (distributive property)
= 25p² - 5p + 5p - 1
Area = 25p² - 1
A snail moves 3/8 of a foot in 1/5of an hour. What is the snail's speed in feet per hour?
A) 3/40 feet per hour
B) 1 5/8 feet per hour
C) 1 7/8 feet per hour
D) 2 7 /8 feet per hour
Answer:
B) 1 5/8 feet per hour is your answer
3/8foot=1/5hour
15foot =8hour
1 foot =8/15 hour
3. Five more than a number is below 17. Use n
for the number.
Answer:
n + 5 = below 17
Step-by-step explanation:
Answer:
n+5<7
Step-by-step explanation:
n+5<7
This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.
What is the image of (-10,-6) after dilation by a scale factor of 1/2 centered at the origin?
The coordinate of resulting image after dilation is (-5, -3)
Dilation and scale factorsGiven the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))Image = (-5, -3)From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)
learn more on dilation here: https://brainly.com/question/3457976
sorry i answerd the wrong question.
the verified answer is correct
5-3HELP ME PLEASE ITS DUE TODAY AT 8
Answer:
It is okay to solve a question not a question paper better split the questions before asking
Answer:
Corresponding sides have same ratio
Q1
a) LM/LN = EF/EG = 12/13 = 0.92b) MN/LM = FG/ EF = 5/12 = 0.42c) MN/LN = FG/ EG = 5/13 = 0.38Q2
XY/WX = ST/RS = 25/18 = 1.39