Answer:
x<13
Step-by-step explanation:
4x+12<64
Subtract 12 from both sides.
simplify 64 to 52.
Divide both sides by 4.
simplify 52/4 to 13
Find the midpoint of (-3,7) and (-9,1).
Answer:
(-6, 4)
Step-by-step explanation:
work out b(4½-3⅔)+1⅔
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change the mixed numbers to improper fractions
([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6
= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]
= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2 [tex]\frac{1}{2}[/tex]
what is the width of a rectangle with length 25in and area of 375^{2}
Explanation:
I'm assuming you meant to say the area is 375 in^2, aka 375 square inches.
If so, then,
area of rectangle = length*width
A = L*W
A/L = W
W = A/L
W = 375/25
W = 15 inches
As a check,
A = L*W = 25*15 = 375 which helps confirm the answer.
1. In the figure below ABC∡=153°, ABD∢=(5x+5)°, and DBC∢=(3x+12)°. Find the measure of ABD∢ and DBC∢. Show all work 20 points
Answer:
M. T . FFFF
Step-by-step explanation:
IM HUNGRY A. - S. F
Answer:
ABD = 90 and DBC = 63
Step-by-step explanation:
ABD + DBC = ABC
(5x +5) + (3x + 12) = 153
combine like terms to simplify
8x + 17 = 153
subtract 17 from 153
8x = 136
divide 136 by 8
x =17
Now we plug x = 17 in -> ABD: 5 x 17 + 5 = 90 DBC: 3 x 17 + 12 = 63
PLS HELP ME WITH ANGLES
Answer:
140 comied
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
40° + 3y + 2y = 180°
↔ 5y = 140°
↔ y =28°
We want to factor the following expression:
16x^4-(y-1)^2
We can factor the expression as (U+V)(U-V) where U and V are either constant integers or single-variable expressions.
photo:
1) What are U and V?
2)Factor the expression.
Step-by-step explanation:
[tex]16x^4-(y-1)^2=4^2\cdot (x^2)^2-(y-1)^2=(\textcolor{blue}{4x^2})^2-(\textcolor{green}{y-1})^2[/tex]
[tex]\text{Comparing with } \textcolor{blue}{U}^2-\textcolor{green}{V}^2, \text{ we know}[/tex]
[tex]\textcolor{red}{U=4x^2, V=(y-1)}[/tex]
[tex]\text{By the formula } U^2-V^2=(U+V)(U-V)[/tex]
[tex]16x^4-(y-1)^2=(4x^2)^2-(y-1)^2=\textcolor{red}{(4x^2+y-1)(4x^2-y+1)}[/tex]
Find the length of UC
A. 54
B. 4
C. 39
Either take the photo of that question or take screenshot and attach it. The question is not complete.
Someone help me out plzzzzzzzzzz
Answer:
k = 73
Step-by-step explanation:
to find the value of k we need to
we know that the angle sum of triangle is 180
so
62 +45 +k = 180
107 +k = 180
k = 180 - 107
k = 73
Does anyone know how to do this I really need help on this?
-12/3*(-8+(-4)²-6)+2
122 right?
Answer:
-6
Step-by-step explanation:
[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]
[tex] (-4)² = 4²= 4×4 =16 [/tex]
[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]
[tex] -8 + 16-6= -14 + 16 = 2[/tex]
[tex] - 4( - 8 + 16 - 6) + 2[/tex]
[tex] - 4 \times 2 + 2[/tex]
[tex] - 8 + 2[/tex]
[tex] = - 6[/tex]
B is between A and C and AB = BC.
If AB = 4x and AC = 24, find x.
Answer:
x = 6
Step-by-step explanation:
Because AB = BC and AB = 4x , AC = 24
=> 4x = 24
x =6
Answer:
X=3
I hope this helps,
Not the neatest of handwriting though
Yo can you help with this
Answer:
yea for sure
Step-by-step explanation:
So the equation is y = x + 8. We already have the answers for x, so we just need to solve for y.
We can use this same equatoin to find y.
Let's start with the first example, 2.
y = 2 + 8. 2 + 8 = 10, so the first box would be 10.
next is 0. 0 + 8 is 8 , so the second box would be 8.
The third box has x as 4. 4+8 is 12, so the last box is 12.
Hope this helps!
x, y
(2, 10)
(0, 8)
(4, 12)
all you need to do is add the numbers under x 2,0,4 to 8. y=x+8 just plug the numbers in.
10=2+8
12=4+8
8=0+8
Find the value of xFind the value of xFind the value of x
Answer:
x = 11
Step-by-step explanation:
[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]
Find f(3) f(2) f(1) f(0) f(-1)
Answer:
f(3) = -1, f(2) = -3, f(1) = -5, f(0) = -7, f(-1) = -9
Step-by-step explanation:
f(x) = 2x -7
f(3) = 2(3) - 7 = -1
f(2) = 2(2) - 7 = -3
f(1) = 2(1) - 7 = -5
f(0) = 2(0) - 7 = -7
f(-1) = 2(-1) - 7 = -9
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
Problem 61
The nth triangular number is
T(n) = n(n+1)/2
I'll rewrite this into
T(n) = 0.5n(n+1)
The triangular number right after this is
T(n+1) = 0.5(n+1)(n+2)
I replaced every n with n+1 and simplified
Let's see what we get when we add up the two expressions
T(n) + T(n+1)
0.5n(n+1) + 0.5(n+1)(n+2)
0.5n^2+0.5n + 0.5(n^2+3n+2)
0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1
n^2+2n+1
(n+1)^2
This shows that the sum of any two consecutive triangular numbers results in a square number
Here's a few examples
0+1 = 11+3 = 43+6 = 96+10 = 1610+15 = 25Note each sum is a perfect square, which visually would plot out a square figure.
For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}
Answer: Square number==========================================================
Problem 64
Let's say we go with n = 5.
This means,
T(n) = 0.5n(n+1)
T(n-1) = 0.5(n-1)(n-1+1)
T(n-1) = 0.5n(n-1)
T(5-1) = 0.5*5(5-1)
T(4) = 10
This says that when n = 5, the 4th triangular number is 10
Triple that result and add on n = 5
3*T(4) + n = 3*10+5 = 35
This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.
Through a bit of trial and error, you should find it's a pentagonal number
Pentagonal numbers are of the form n(3n-1)/2
If you plugged n = 5 into that, it leads to 35
n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35
The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)
Answer: Pentagonal numberYou are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?
Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:
(a) 360 feet
(b) 240 feet
(c) $1000.0
Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:
(a) Side AB = CA = (7 - 1) x 10 feet
= 6 x 10 feet
= 60 feet
Side AD = BC = 13 - 1
= 12 x 10 feet
= 120 feet
The perimeter of the entire yard = 60 + 120 + 60 + 120
= 360
Perimeter of the entire yard = 360 feet
(b) Side AB = EF = 60 feet
Side FA = BE = (7 -1) x 10 feet
= 60 feet
So that,
The perimeter of the backyard = 60 feet x 4
= 240
Perimeter of the backyard = 240 feet
(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50
= $3000.0
The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50
= $2000.0
The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0
= $1000.0
Thus, the amount saved by only installing a fence in the back yard is $1000.0
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When q= -4 and g=1 look at picture
Answer:
-25
Step-by-step explanation:
sorry for the mistake
Given the functions: f(x) = 4x + 8 and g(x) = 2x - 12,
1. Find 2f(x) + 3g(x)
X+
2. Find f(x) · g(x)
I
1x² +
X +
Simone buys a shirt and hat. The hat costs six dollars. The shirt cost five times as much as the heart. How much more does the shirt cost than the heart?
Answer:
$24
Step-by-step explanation:
h x 5 = 30
h = 6
30 - 6 = 25
What least number should be subtracted from 45,632 so that the number is divisible by 100 (plzz answer)
Answer:
32
Step-by-step explanation:
I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32
please help and explain, thanks so much.
2x^3 y^8 / 4y^2
Answer:
[tex]2 {x}^{3} {y}^{8} \div 4 {y}^{2} \\ = {x}^{3} {y}^{8} \div 2 {y}^{2} \\ = {x}^{3} {y}^{8 - 2} \div 2 \\ = {x}^{3} {y}^{6 } \div 2 \: \: \: ans[/tex]
Step-by-step explanation:
Plz make it brainlist answer your questions have been solved
anybody how to do this?
Which is the better buy?
3-gallon jug of water for $10.92
8-quart jug of water for $8.64
Answer:
3-gallon jug of water for $10.92, is the better buy
Step-by-step explanation:
First let's do the 3 gallon jug -
We need to find the unit rate (The cost per gallon/quart)
$10.92 / 3 = $3.64
$8.64 / 8 = $1.08
1 Gallon = 4 Quarts, therefore the 3-gallon jug of water is the better buy.
Given: f(x) = 6x - 10 Evaluate 11
Here is the anwser. Its in the pic lol
Lois makes customised tee-shirts. She advertises and receives orders through her own website. She buys blank tee-shirts for $1 each and $1 of fabric paint is used to produce the bespoke designs. She pays herself $6 per hour for her time to create the designs and package the teeshirts. In addition she makes a profit of 20% of the selling price. For how much will she sell a tee-shirt, if the artwork and packaging takes one and a half hours to complete?
Lois will sell her tee-shirt for $13.20
The percentage profit = [tex]\frac{profit}{cost price}[/tex] × 100
Profit = Selling price - cost price
Cost price is the total amount expended in making the tee-shirts
cost price includes cost of buying blank shirt , cost of fabric paint and amount Lois pay herself
cost of buying blank shirt = $1
cost of fabric paint = $1
amount Lois pay herself = [tex]1\frac{1}{2}[/tex] x $6
[tex]\frac{3}{2}[/tex] x $6 = $9
Total cost price = $1 + $1 + $9 = $11
0.2 = [tex]\frac{profit}{11}[/tex]
profit = 11 x 0.2 = $2.2
$2.20 = selling price - $11
selling price = $11 + 2.20 = $13.20
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1. algebraic expression
a letter or symbol used to represent an unknown
2. coefficient
a mathematical phrase that cannot be determined true or false
3. constant
a numerical value
4. expression
a mathematical expression containing one or more variables
5. variable
the constant preceding the variables in a product
Answer:
1. algebraic expression: a mathematical expression containing one or more variables
2. coefficient: the constant preceding the variables in a product
3. constant: a numerical value
4. expression: a mathematical phrase that cannot be determined true or false
5. variable: a letter or symbol used to represent an unknown
Step-by-step explanation:
Plz help. i’ll give brainliest
Answer:
x=17 degrees
m1=97 degrees
Step-by-step explanation:
6x-19=3x+32(vertically opposite angles)
6x-19-3x=32
3x =32+19
3x=51
x=17 degrees
when we substitute x in these:
6x-19=83
3x+32=83
if 1=y
83+83+Y+Y=360(points around a point is 360 degrees)
166+2Y =360
2Y =360-166
2Y=194
Y=97
Therefore 1=97 degrees
Hope you got it
If you have any answer just ask me
If you think this is the best answer please mark me as brainliest
Solve for the value of x by applying the definitions of complementary and supplementary angles
9514 1404 393
Answer:
x = 52
Step-by-step explanation:
The square corner symbol indicates the sum of the marked angles is 90°. (They are complementary.)
(x +3)° +35° = 90°
x° = 90° -38° = 52°
x = 52
I'm confused on this one
4x − 8 = 12
4x − 8 + 8 = 12 + 8
4x = 20
4
4
x =
20
4
x =
how do i do it step for step
Answer:
5
Step-by-step explanation:
4x-8=12
4x=12+8
4x=20
x=20/4
=5
Step-by-step explanation:
4x-8=12
4x-8+8=12+8
4x=20
4x÷4=20÷4
x=5
can someone check my answers? if they are all right then just leave it alone but if somethings wrong please tell me and explain why!
Answer:
They are all right
Step-by-step explanation:
all of them are right
Everything is correct except the last one. I have attached the solutions, see them.