Answer:
x<1
Step-by-step explanation:
You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign. So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out. on the other side 6-5 is equal to 1.
Answer: x<1
Answer: x < 1
Step-by-step explanation: x + 5 < 6
Subtract 5 from both sides,
x < 1
What is the area of the trapezoid?
Enter your answer in the box.
378 inches squared
its (18x15)+(6x18)
Kindly solve this question
Answer:
x=-1/7
Step-by-step explanation:
[tex]\frac{3x-1}{3} -\frac{2x}{x-1} =x[/tex]
[tex]\frac{(3x-1)(x-1)}{3x-3} -\frac{2x(3)}{3x-3} =x[/tex]
[tex]\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =x[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}[/tex]
[tex]\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}[/tex]
[tex]3x^2-10x+1=3x^2-3x[/tex]
[tex]-10x+1=-3x[/tex]
[tex]-7x=1[/tex]
[tex]x=-1/7[/tex]
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
5x - 15 = 2x + 15Solve:
5x - 15 = 2x + 155x - 30 = 2x5x = 2x + 303x = 30x = 10So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
What is the value of w in the equation 2(2w − 16) = 0?
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
Factorize x2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)
Answer:
(2x+3y)(x2+3x+2). it may helps you
Answer:
[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]
Step-by-step explanation:
[tex]\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)[/tex]
Expand by distributing terms:-
[tex]\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)[/tex]
Expand by distributing terms:-
[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]
~
Please help and explain WILL MARK BRAINLIEST!!!!
Answer:
x is 19.5 degress
Step-by-step explanation:
hmmm so here oh i see now okay:
since a line is 180 degress lets write
2x + 82.5 + 3x = 180
now we umm add the ones with the same variable and power
5x + 82.5 = 180
5x = 180 - 82.5
5x = 97.5
x = 19.5
This is an angle on a straight line and It is equal to 180°
2x° + 3x° + 82.5° = 180°
5x° = 180° - 82.5°
5x = 97.5°
x = 19.5°
To indicate the angle
2x => 2(19.5°) => 39°
3x => 3(19.5°) => 58.5°
The angle are (39°, 82.5°, 58.5°
A. where will vertex A be located after a rotation of -90°
B. where will vertex B be located after a rotation of 90°
C. where will vertex C be located after a -180° rotation
D. where will vertex D be located after a 270° rotation?
Answer:
this image should help a lot:
vertex b: (-5,3)
vertex a: (0,-1)
vertex c: (-6,-7)
vertex d: (-4,-1)
Step-by-step explanation:
A square rug has an area of 256 square feet. What is the perimeter of the rug?
Answer:
64
Step-by-step explanation:
[tex]\sqrt{256}[/tex] = 16 (length of each side)
A square (rug) has 4 sides.
Add to find perimeter:
16 + 16 + 16 + 16
= 64
Answer: 8ft
Step-by-step explanation:
4A= 256
4A/4 = 256/4
A = 64
A = a²
64 = 4²
a² = 64
a = ±√64
a = ±8
∴a = ±8
Hence, the length of a side of each rug is 8ft.
Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that victor makes no purchases or payments, how much will he owe after one year, to the nearest cent? a. $1,349.34 b. $1,533.66 c. $1,545.65 d. $1,364.70
The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
For this case, we're provided that:
The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)
It is compounding monthly, thus, 12 times a year, or n = 12
The initial amount that the credit card of Victor has = p = $1349.34
Time for which interest was compounded = a year = 1 = t
Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;
[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]
Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
Learn more about compound interest here:
https://brainly.com/question/1329401
Answer:
C
Step-by-step explanation:
I took the test and passed with 100
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.
The surface area of the box is 1048 square inches
How to calculate the total surface area of the boxThe formula for calculating the surface area of the prism is expressed as:
Surface area = 2(lw + wh +lh)
Given the following
l = 20in
w = 8in
h = 13in
Substitute the given parameters'
Surface area = 2(lw + wh +lh)
Surface area = 2(20(8) + 8(13) +20(13))
Surface area = 2(160+104+260)
Surface area = 1048 square inches
Hence surface area of the box is 1048 square inches
Learn more on surface area of box here: https://brainly.com/question/26161002
what's the periotic table
Answer:
the table in which element are systematically arranged into various period based on their similar properties is called periodic table
Answer: it is a table of all the elements and shows you all the abbreviations for each one.
Step-by-step explanation:
there is a picture attached if you want to see what it looks like.
It basically just tells and shows you about all the different materials and/or elements.
Hope this helps! :)
Please help! will give brainlest! locks in 30 min!
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Simplify the expression:
sin [tex]\frac{3pi}{4}[/tex]
Rewrite the angle as a sum or difference with its reference angle:
sin (pi - [tex]\frac{pi}{4}[/tex])
Simplify the expression
(sin [tex]\frac{pi}{4}[/tex])
Evaluate the expression:
[tex]\frac{\sqrt{2} }{2}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)
log2^2-log2^16 what is the answer
Answer:
-4.1-4.1212
Step-by-step explanation:
Log2^2-log 2^16
log2^2/2^16
log2^2-16
log2^-14
-14log2
-14×0.3010
-4.1-4.1214
which is the answers
Answer:
1. any number from 42 to 68
e.g 52
2. any number less than 42 or greater than 68
e.g 76
Bbh. Pls help i am stuck and need it i give 25 pts thanks
Answer:
8 cm
Step-by-step explanation:
You want the base of a triangle, given its height is 3 cm. From the base of 12 cm, the same triangle has a height of 2 cm.
AreaThe area of a triangle is given by the formula ...
A = 1/2bh
The area will be the same for any (base, height) pair of dimensions. The height is always measured perpendicular to the base. The base is generally one side of the triangle.
ApplicationHere, the longest side is labeled 12 cm, and the perpendicular distance to the opposite vertex (height) is labeled 2 cm. This means the triangle area is ...
A = (1/2)(12 cm)(2 cm) = 12 cm²
The distance perpendicular to the unknown side is shown as 3 cm. This gives you a clue that using the area of the triangle to find the unknown side is probably useful.
A = 1/2bh
12 cm² = 1/2(b)(3 cm)
8 cm = b . . . . . . . . . . . . multiply by 2/(3 cm)
The value that goes in the box is 8.
__
Additional comment
The attachment is drawn to scale.
<95141404393>
on a coordinate plane, the endpoints of line segment JL are
J(-6,-4) and L(6,8). Point K lies on line segment JL and divides it into two
line segments such that the ratio of JK to KL is 5:1. What are the
coordinates of point K?*
Answer: (4,6)
Step-by-step explanation:
We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.
The change in x is 12, and the change in y is 12.
This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.
This means that to find K, we can subtract one of these displacements from point L.
This means that K has coordinates (6-2, 8-2)=(4,6)
Triangle ABC is congruent to B triangle A"B"C".
Which sequence of transformations could have been used to transform triangle abc to produce triangle A'' B'' C''? transform triangle ABC triangle A"B"C"?
A. Triangle ABC was translated 7 units down and then 9 units right.
B. Triangle ABC was translated 10 units to the right and then reflected across the x Axis.
C. Triangle ABC was reflected across the x Axis and then translated 9 units right.
D. triangle ABC was reflected across the y Axis and then translated 7 units down.
Answer: D
Step-by-step explanation:
HELP PLEASE!! <3
i honestly don't understand what they want me to do here
Answer:
(a)
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 20 ← is in this form , then
centre = (0, 0 ) and r = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
gi i need help with this question if you can help me asap that whould be great
please help me with this its so easy .
recommend me a bunch of animmes---s (not the cringe kind that have 0 plot)
(do not reccomend any animes that are about a shy anti social boy who bags a social popular girl. )
Answer:
Megalobox black lagoon doraemon fate/grand order made in abyss high rise invasion dusk maiden of amnesia mahou shoujo site black butler ergo proxy I think are some
Step-by-step explanation:
If 5^2x = 1, what is the value of 'x' ?
Answer:
x = 0
Step-by-step explanation:
5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.
A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.
How to determine the circumference of the base of a silo
The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:
Volume
V = (π/3) · R² · h (1)
Circumference
s = 2π · R (2)
Where:
R - Radius of the base, in feeth - Height of the silo, in feetIf we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:
[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]
[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]
R ≈ 4.583 ft
s = 2π · (4.583 ft)
s ≈ 28.796 ft
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]
RemarkThe statement is complete, complete form is introduced below:
A farmer plans to buid the small silo to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
x=6
Step-by-step explanation:
i hope it's helpful for youAnswer:
x=6
Step-by-step explanation:
24÷4=6
4×6=24
Hope it helps :))
Simplify 3a+2(4a-b)
please simplify this equation
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
3a+2(4a-b)=
3a+8a-2b=
[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]
xLasersx✨Photo attached with instructions
Step-by-step explanation:
using cosine rule,
BC²= AC² + BC² - 2*AC*BC*COSc
= 13² + 6² - 2*13*6*-cos(180-91)
= 169 + 36 - (-2.72)
= 202.28
√BC² = √202.28
BC = 14.22
BC = 14.20cm to nearest tenth
What is the tangent ratio of angle KJL?
Answer: (1)
Step-by-step explanation:
Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.
This means that the tangent is 24sqrt3 / 24.
Find the roots of the factored polynomial. (x–3)(x–9) Write your answer as a list of values separated by commas.
x^2 - 9x - 3x + 27
x^2 - 12x + 27
Least common multiple of 45 and 7
Answer:
315
Step-by-step explanation:
45 x 7 = 315
Multiples of 7: 7, 14, 21, 28... 301, 308, 315
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405
If you need further explanation, let me know!
- profparis
Step-by-step explanation:
Least common multiple of 45 and 7 is 315
can anyone help me with this
Answer:
Yes
Step-by-step explanation:
Their angles are the same and the shapes are similar.
Answer:
Yes they do.
Step-by-step explanation:
All of the angles are the same shape and size therefore are equal to each other.
What is the approximate measure of angle B?
Answer: D
Step-by-step explanation: