Answer:
-13x+5
Step-by-step explanation:
Distributive Property
-4 (2.5x) + (-4)(-1.25) - 3x
Multiply 2.5 by -4
- 10x - 4 * 1.25 - 3x
Multiply -4 by 1.25
- 10x + 5 -3x
Subtract 3x from -10x
-13x + 5
Hope this helped!
hii! i’ll give brainliest pls help
Answer:
b is correct
Step-by-step explanation:
Find the value of y when x=3.
y=10-3x
y=
Answer:
the value of y is y= 1
Step-by-step explanation:
3×3=9
y=10-9
y= 1
what value of x will solve the equation 3/4x + 10 = 4
Answer:
-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
[tex]\frac{3}{4}x+10=4[/tex]
[tex]\frac{3}{4} x-10[/tex] [tex]-10[/tex] Subtract 10 from both sides
[tex]\frac{3}{4}x=[/tex] [tex]-6[/tex]
[tex]\frac{3}{4}(-8)[/tex] [tex]=-6[/tex] Substitute x for [tex](-8)[/tex] then Multiply [tex](-8)[/tex] by [tex]\frac{3}{4}[/tex]
[tex]-\frac{24}{4}[/tex] [tex]=-6[/tex] Simplify [tex]-\frac{24}{4}[/tex]
[tex]-6=-6[/tex]
The circular rug is placed on a square floor. The rug touches all four walls. How much of the floor space is not covered by the rug? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
To solve this, we first need the area of the square, then subtract from it the area of the circle. Since our instructions tell us to round to the nearest hundredth, we will use 3.1415 for pi. First the square:
A = s * s so
A = 15 * 15 and
A = 225; next the circle:
A = 3.1415 * 7.5*7.5 (the area of a circle is pi times the radius squared. The radius is half of the diameter which is 15, so r = 7.5) so
A = 176.709
Subtracting the area of the circle from the area of the square:
225 - 176.709 = 48.29 ft squared.
how many solutions does 3 (y-2) = 3y - 6 have
Answer:
Infinitely many solutions
Step-by-step explanation:
Simplify this
3 (y-2) = 3y-6
3 (y) + 3 ( -2) = 3y-6
3y-6=3y-6
Because these two equations are equal to each other, it is infinitely many solutions.
If this helps please mark as brainliest
what should be the price of each toaster if the company wants to make a profit of 42$ per toaster?
Answer:
$42?
Step-by-step explanation:
Write an equation if the line that passes through (0,-2) and (2,2)
Answer:
[tex]y=2x-2[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (0,-2) and (2,2)
[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]
Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=2x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=2(2)+b\\2=4+b[/tex]
Subtract 4 from both sides to isolate b
[tex]2-4=4+b-4\\-2=b[/tex]
Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]
[tex]y=2x-2[/tex]
I hope this helps!
A study was conducted by a certain firm to determine who curses at their computer. The results indicated that 30% of people age 18-34 years have cursed at their computer. What are the odds against a randomly selected 18- to 34-year old having cursed at his or her computer. LOADING... Click the icon to view an explanation of odds. The odds, in the most simplified form, are nothing to nothing against a randomly selected 18- to 34-year old having cursed at his or her computer. (Type whole numbers.)
Answer:
The odds, in the most simplified form, are 7 to 3 against a randomly selected 18- to 34-year-old having cursed at his or her computer.
Step-by-step explanation:
Given
[tex]p = 30\%[/tex] ---- proportion that cursed their computer
Required
Odds against the selected
Using the complement formula, the proportion that the selected has not cursed at their computer is:
[tex]p' = 1 - p[/tex]
[tex]p' = 1 - 30\%[/tex]
[tex]p' = 70\%[/tex]
So, the odds against the selected is:
[tex]Odds = p' : p[/tex]
[tex]Odds = 70\% : 30\%[/tex]
Divide by 10%
[tex]Odds = 7: 3[/tex]
is 3.39 a rational number
Answer:
yes it can be written as 'a/b'
Step-by-step explanation:
3.39 is 3 39/100 which, as an improper fraction, is 339/100
as long as a decimal terminates or repeats then it is rational
examples:
.333 repeating is rational
the symbol π does not terminate or repeat so it is considered to be irrational
What is the circumference of this circle
R=2km
Answer:
12.57
Step-by-step explanation:
The formula is
2 (pie) r
2(pie)2
which would equal 12.57
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The quadrilateral shown is rotated 90 degrees clockwise about the origin. In which quadrant is the image of the quadrilateral located? *
Captionless Image
Answer:
Option (2). 1
Step-by-step explanation:
Coordinates of point A, B, C and D are,
A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).
Quadrilateral ABCD when rotated 90° clockwise about the origin,
Rule for the rotation of the vertices,
(x, y) → (y, -x)
Following the rule of rotation coordinates of the image points,
A(-4, 4) → A'(4, 4)
B(-2, 4) → B'(4, 2)
C(-2, 1) → C'(1, 2)
D(-4, 3) → D'(3, 4)
Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.
Option (2) is the correct option.
that is the answer if it's wrong then it must of been wrong question I gave answer to or I just got it wrong
please answer thissssssssssssssssssss
Answer:
B.) The interquartile range of the data is 2
Step-by-step explanation:
A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is 7 feet more than the distance of the base of the ladder from the building. At what height does the ladder hit the building
Answer:
Step-by-step explanation:
The length of the ladder is the length of the hypotenuse of the right triangle formed. Since the height up the building is based on the distance the ladder is from the base of the building, and that distance is x, then the height up the building is x + 7. So what we have is a right triangle with one leg measuring x, the other leg measuring x + 7, and the hypotenuse measuring 13. Set up using Pythagorean's Theorem:
[tex]13^2=(x+7)^2+x^2[/tex] and do some simplifying. The left side is easy since 13-squared is 169; the right side not so much. We first have to expand that set of parenthesis by multiplying x + 7 by itself twice to get a second degree polynomial:
[tex](x+7)(x+7)=x^2+14x+49[/tex] and now we have:
[tex]169=x^2+14x+49+x^2[/tex] which simplifies down a bit to
[tex]169=2x^2+14x+49[/tex]
The only way to solve this for x, the height up the side of the building, is to factor. In order to do that, everything has to be on one side of the equals sign, setting the whole messy thing equal to 0:
[tex]2x^2+14x+49-169=0[/tex] and
[tex]2x^2+14x-120=0[/tex]. Begin by factoring out a 2:
[tex]2(x^2+7x-60)=0[/tex] and then factor the remaining quadratic using whatever method you are currently using in class to solve for x. Doing this will give that
x = -12 and 5. Since a side length will never be negative, we determine that x = 5 which is the distance between the bases of the buildings, and the height up the building where the ladder hits it is 12.
Pls help me a quick financial maths problem
Answer:
$74 492.30
Step-by-step explanation:
P= 50 000
r= 8/100 = 0.08
n= 12
t= 5
P(1 + r/n) ^ (nt)
[tex] = 50000(1 + { \frac{0.08}{12} )}^{(12 \times 5)} [/tex]
=74492.285
Help! Need this done quickly! picture is upside down so please flip your screen! sorry!
Answer:
x=6
Step-by-step explanation:
Hi there!
1) Determine the perimeter of the square
We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.
Find the side length of the square using the area formula:
[tex]A=l^2[/tex] where l is the side length
Plug in the given area 121 in.²
[tex]121=l^2[/tex]
Take the square root of both sides
[tex]\sqrt{121} = \sqrt{l^2} \\11=l[/tex]
Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:
[tex]P=4l[/tex] where l is the side length
[tex]P=4(11)\\P=44[/tex]
Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.
2) Determine the value of x
Use the formula for the perimeter of a rectangle:
[tex]P=2(l+w)[/tex] where l is the length and w is the width
Plug in 3x and x-2 as the length and width
[tex]P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)[/tex]
Plug in the perimeter 44 in.
[tex]44=2(4x-2)[/tex]
Expand the parentheses
[tex]44=8x-4[/tex]
Add 4 to both sides to isolate 8x
[tex]44+4=8x-4+4\\48=8x[/tex]
Divide both sides by 8 to isolate x
[tex]\frac{48}{8}=\frac{8x}{8} \\6=x[/tex]
Therefore, the value of x is 6.
I hope this helps!
The triangles have a scale of 3: 5. What is the value of a? *
Answer:
Step-by-step explanation:
multiply the ratio by 24/5 and you have
72/5 : 24
or
14.4:24
Yes invests $1500 that compounds interest monthly with a 4.5% rate. How much money will he have after the 12 years?
Answer:
FV= $2,571.41
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,500
Interest rate (i)= 0.045/12= 0.00375
Number of periods (n)= 12*12= 144 months
To calculate the future value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,500*(1.00375^144)
FV= $2,571.41
. A pitcher’s mound on a women’s softball field is 43 feet from home plate and the distance between the bases is 60 feet. How far is the pitcher’s mound from first base?
Answer:
42.43 ft
Step-by-step explanation:
Please find attached an image of the softball pitch
h² = p² + f² -2x p×f×cos45
h² = 43² + 60² - 2x (43)(60) x 0.7071
h² = 1849 + 3600 - 3648.636
h² = 1800.364
h = √1800.364
h = 42.43 feet
What is the measure of angle 2 in degrees?
Answer:
The measure of angle 2 is... 60 degrees.
Angle 1 - 93 degrees
Angle 2 - 60 degrees
Angle 3 - 27 degrees
need this for final
Write the following statement as an algebraic expression: Five less than the product of 4 and a number.
Group of answer choices
5(4 - x)
5(x - 4)
4x - 5
5 - 4x
Answer:
D
Step-by-step explanation:
it means 5 minus 4x where x is the coefficient of x. Good luck.
five hundred dollars and eighty two cents as a decimal
Answer:
500.82
Step-by-step explanation:
Answer: 500.82 mhm mhm yup
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer: 207 degrees
Step-by-step explanation:
Since a circle is 360 degrees,
103+50+35+27 = 215, 360-215=145
Add ED and BC to 145 to get - 207
Select the graph of Y = sec X Please help!!!!
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Pls, help with this math question
Step-by-step explanation:
OCB=CBO(base angle of isosceles triangle are equal)
now,
OCB+CBO+BOC=180°(sum of angles of triangles)
BOC=180-62
BOC=118°
again,
x=BOC/2{inscribed angle is half of central angle standing on Same base}
x=118/2
x=59°
stay safe healthy and happy...Simplify:
B^4 . B^3
^ = means I’m squaring it.
Step-by-step explanation:
B⁴×B³B^(4+3)B⁷stay safe healthy and happy...
According to the graph what is the solution to this system of equations?
O 5.-7)
O €7.5)
O 5.7)
O 7.5)
Answer:
you showed no graph dude
This is the graph btw.
PLSSSS HELPP MEEEEE BRAINLIEST REWARDD
Answer:
40.) the third one
42.)the last one
Step-by-step explanation:
A small bank vault is being designed in the shape of a rectangular prism. The vault’s sides and top should all be 3 feet thick. The outer length of the vault should be twice the outer width. The outer height should be the same as the outer width. What should the outer dimensions of the vault be if is to have 972 cubic feet of space?
(^ incase the words got cut off in the pic)
This represents the exterior length, width and height in that order.
============================================================
Work Shown:
The steps you have written so far are 100% correct.
From there, you multiply the interior width, length and height to get the interior volume 972. Solve for x
So,
(length)*(width)*(height) = volume
(2x-6)(x-6)(x-3) = 972
(2x-6)(x^2-9x+18) = 972
2x(x^2-9x+18)-6(x^2-9x+18) = 972
2x^3-18x^2+36x-6x^2+54x-108 = 972
2x^3-24x^2+90x-108 = 972
2x^3-24x^2+90x-108-972 = 0
2x^3-24x^2+90x-1080 = 0
2(x^3-12x^2+45x-540) = 0
x^3-12x^2+45x-540 = 0
From here, we can use the factor by grouping method
x^3-12x^2+45x-540 = 0
(x^3-12x^2)+(45x-540) = 0
x^2(x-12)+45(x-12) = 0
(x^2+45)(x-12) = 0
Setting each factor equal to 0 leads to....
x^2+45 = 0 doesn't have any real valued solutions for x, since sqrt(-45) is a complex number. We'll ignore this case and move on.x-12 = 0 solves to x = 12So x = 12 is the only solution here.
If x = 12, then we have these exterior dimensions:
length = 2x = 2*12 = 24 ftwidth = x = 12 ftheight = x = 12 ftThe outer dimensions are 24 ft by 12 ft by 12 ft
From that, the inner dimensions would be:
L = 24-6 = 18 ft
W = 12-6 = 6 ft
H = 12-3 = 9 ft.
Then note how L*W*H = 18*6*9 = 972 ft^3 to help confirm the answer.
a batch of granola uses 2 cups of honey to make 24 servings. how much honey is needed to make 42 servings
Answer:
hi hlo wat is ur help tell me quick