Long-Term Memory Review - Geometry Solve: 1. 99 = 33x + 3 (3x + 5) 2-122 - 042 + 6) = 82 22x + 32 = 62 4.4725 = 6n + 7 5. 237-5 = 2m + 5 6. 39-3 = 13 - 4p Azate 7. 1723 17 + 8 = 175 841 78 = 95 9 318 + 93 180 10.6x + 2 + 40 = 90 11.k - 37 + + 67 – 90 = 180 12.36 + Su + 4 + 50 = 180 13.8 + 62 = 4.3 + 2 + 30 14.46 + 1 = 18h + 5 15.97 - 2 + 1234 = 208 + 5
Answers
1. 99 = 33x + 3(3x + 5)
⇒99 = 33x + 9x + 15
⇒99 = 42x + 15
⇒99 - 15 = 42x
⇒84 = 42x
⇒42x = 84
⇒x = 84/42
⇒x = 2
2. 12z - (4z + 6) = 82
⇒12z - 4z - 6 = 82
⇒8z - 6 = 82
⇒8z = 82 + 6
⇒8z = 88
⇒ z = 88/8
⇒ z = 11
3. 2x + 3x = 62
⇒5x = 62
⇒ x = 62/5 or x = 12.4
4. 4n + 5 = 6n + 7
⇒4n - 6n = 7 - 5
⇒-2n = 2
⇒ n = -2/2
⇒ n = -1
5. 23m - 5 = 21m + 5
⇒23m - 21m = 5 + 5
⇒2m = 10
⇒ m = 10/2
⇒ m = 5
6. 3p - 8 = 13 - 4p
⇒3p + 4p = 13 + 8
⇒7p = 21
⇒ p = 21/7
⇒ p = 3
7. 17x - 3 + 17x + 8 = 175
⇒17x + 17x - 3 + 8 = 175
⇒34x + 5 = 175
⇒34x = 175 - 5
⇒34x = 170
⇒ x = 170/34
⇒ x = 5
8. ƒ + 41 + ƒ + 78 = 95
⇒ƒ + ƒ + 41 + 78 = 95
⇒2ƒ + 119 = 95
⇒2ƒ = 95 - 119
⇒2ƒ = -24
⇒ ƒ = -24/2
⇒ ƒ = -12
9. 3x + 18 + 93 = 180
⇒3x + 111 = 180
⇒3x = 180 - 111
⇒3x = 69
⇒ x = 69/3
⇒ x = 23
10. 6x + 2 + 40 = 90
⇒6x + 42 = 90
⇒6x = 90 - 42
⇒6x = 48
⇒ x = 48/6
⇒ x = 8
11. k + 37 + k + 67 + 90 = 180
⇒k + k + 37 + 67 + 90 = 180
⇒2k + 104 + 90 = 180
⇒2k + 194 = 180
⇒2k = 180 - 194
⇒2k = -14
⇒ k = -14/2
⇒ k = -7
12. 3w - 6 + 8w + 4 + 50 = 180
⇒3w + 8w - 6 + 4 + 50 = 180
⇒11w - 6 + 54 = 180
⇒11w + 48 = 180
⇒11w = 180 - 48
⇒11w = 132
⇒ w = 132/11
⇒ w = 12
13. 8 + 6x = 4x + 2 + 30
⇒6x - 4x = 2 + 30 - 8
⇒2x = 32 - 8
⇒2x = 24
⇒ x = 24/2
⇒ x = 12
14. 46 + 8h - 1 = 18h + 5
⇒ 46 - 1 - 5 = 18h - 8h
⇒ 46 - 6 = 10h
⇒ 40 = 10h
⇒ 10h = 40
⇒ h = 40/10
⇒ h = 4
15. 9x - 2 + 12x - 4 = 20x + 5
⇒ 9x + 12x - 20x = 5 + 2 + 4
⇒ 21x - 20x = 11
⇒ x = 11
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Related Questions
PLEASE PLEASE PLEASE HELP TRANSLATING SENTENCES INTO EQUATIONS
Answers
Answer:
5×(w + 7) = 4
Step-by-step explanation:
w is the unknown number.
5 times something means multiply something 5 times.
a sum means adding things
so, the sum of a number and 7 is
w + 7
5 times that sum is then
5×(w + 7)
and that while thing is (equals) 4
5×(w + 7) = 4
by the way, solving that means
5w + 35 = 4
5w = -31
w = -31/5
Answer:
5(w + 7) = 4
Step-by-step explanation:
Do one part of the sentence at a time until you write the entire sentence as an equation.
"Five times the sum of a number and 7 is 4."
The problem tells us to use w for the number, so we write w below.
w
"Five times the sum of a number and 7 is 4."
Now we move on to the part dealing with the sum of the number and 7. A sum is an addition, so we add 7 to the number w.
w + 7
"Five times the sum of a number and 7 is 4."
Now we take care of the part dealing with product of 5 and the sum.
5(w + 7)
"Five times the sum of a number and 7 is 4."
The last part is dealing with the part "is 4". The word "is" very often means "equals", so the entire expression we wrote is equal to 4.
5(w + 7) = 4
Answer: 5(w + 7) = 4
if cos A=0.6, find the value of 5 sin A - 3 tan A
Answers
Answer:
0
Step-by-step explanation:
hopefully the picture is visible and understandable.
:)
Mr Patel drew figure A and its image figure k on the grid Amelia says figure k is a rotation of figure A Kareem says it is a reflection can both students be correct explain
Answers
Transforming figure A into k requires some methods. Therefore, both reflection and rotation could be applied. Thus both students are right.
Rigid transformation is a method required in resizing or changing the orientation of a given shape. The types are: translation, reflection, rotation and dilation.
Considering figure A and its image k given in the question, transformation has occurred. Reflection is the process of flipping a given figure about a reference line or a point. Thus Kareem is right if A is turned over the line joining A and k.
Secondly, rotation implies turning a given shape through a certain angle to form its image. Thus if figure A is turned clockwise or counterclockwise about the mid point of the line joining A and k, then Amelia is right.
It can be said that both students could be right.
Visit: https://brainly.com/question/16087635
Help what is the slope of the line?
Answers
9514 1404 393
Answer:
8/5 = 1.6
Step-by-step explanation:
It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6
The slope of the line seems to be about 8/5, or 1.6.
A student council group is preparing flower arrangements for a nursing home. There are 162 roses, 108 dahlias, and 180
tulips to be used in the arrangements. The arrangements are identical and there are no leftover flowers.
How many roses, tulips, and dahlias are in each arrangement?
Answers
Answer:
Step-by-step explanation:
since GCF(162,108,180)=18
and you have not mentionned it was the maximum of arrangements you want:
[tex]\begin{array}{c|c|c|c}\#arrangement&\#Roses&\#Dahlias&\#Tulips\\-------&-------&-------&-------\\1&162&108&180\\2&81&54&90\\3&54&36&60\\6&27&18&30\\9&18&12&30\\18&9&6&10\\-------&-------&-------&-------\\\end {array}[/tex]
please help!!!!!
what is -x+2x???
Answers
Hope this helps!
I need help with 4, 5, and 6 and this is Geometry.
Answers
Answer:
it is the 7th
Step-by-step explanation:
plz take my answer
Find the difference. Write your answer as a fraction in simplest form. 4/5 - (-3/10)=
Answers
Find the volume of a rectangular prism that is 10 cm long, 3 cm wide, and 2 cm high. Please draw and label the prism
Answers
Answer:
Volume = Length × Width × Height
Volume = 10 × 3 × 2
Volume = 60 cm
What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?
Answers
Answer:
8 32 A for area and H for height
Step-by-step explanation:
Help please and thank you
Answers
Answer:
n=4
Step-by-step explanation:
[tex]\sqrt[n]{256} =8^{\frac{1}{3} } *8^{\frac{1}{3} } \\256^{\frac{1}{n} } =(2^{3} )^{\frac{1}{3} } *(2^{3} )^{\frac{1}{3} } \\(2^{8})^{\frac{1}{n} } =2^{3 \times \frac{1}{3} } *2^{3 \times \frac{1}{3} } \\2^{\frac{8}{n} } =2 \times 2\\2^{\frac{8}{n} } =2^{2} \\\frac{8}{n} =2\\n=\frac{8}{2} =4[/tex]
A)find mode:2,4,6,8,6,4,2,4,2,4,6,6,4
B)If A= {0,1,2,3,4} find n(A)
Answers
Which classification correctly describes the following number?
( /6 x /2)
a.
Irrational
Number
b.
Rational
Number
Answers
Answer:
a
Step-by-step explanation:
a rational number is a whole number
11c+10+8-6???help...
Answers
Answer:
11c+12
Step-by-step explanation:
It's just simple addition and subtraction, it just happens to have a variable.
(The question wasn't super clear on if it was just simplification or if you're supposed to solve for c but if it's asking to solve for c I can update the answer if you let me know)
Help me please I will give 20 points if you answer correctly!
Answers
Answer:
Step-by-step explanation:
Base = 8 * 8 = 64 square units
4 (8*6)/2 = 96 square units
64 + 96 = 160 square units
prove that 3 power p + 1 - 3 power P upon 2 multiply 3 power p is equal to 1
Answers
Answer:
see explanation
Step-by-step explanation:
note that [tex]3^{p+1}[/tex] = [tex]3^{p}[/tex] × 3 ( when multiplying exponents are added )
Given
[tex]\frac{3^{p+1}-3^{p} }{2.3^{p} }[/tex] ← factor out [tex]3^{p}[/tex] on numerator
= [tex]\frac{3^{p}(3-1) }{2.3^{p} }[/tex]
= [tex]\frac{2.3^{p} }{2.3^{p} }[/tex]
= 1
h(x) = **+ 3x
x2 + 3x
4x + 27
Find h(-8)
Answers
Answer:
[tex]h( - 8) = \frac{( - 8)^{2} + 3( - 8) }{4( -8 ) + 27} \\ \\ = \frac{64 - 24}{ - 32 + 27} \\ \\ = \frac{40}{ - 5} \\ \\ h( - 8) = - 8[/tex]
I hope I helped you^_^
The speed of light is approximately 300,000 kilometers per second. How many miles does light travel in an hour?
Answers
Answer:
671080887.6
Step-by-step explanation:
1 second = 300,000km
3600 seconds = 3600 x 300,000 = 1080000000 km then convert to miles
is 671080887.6
given f(x)=-3x+3solve for x when f(x)=6
Answers
Answer:
x = -1
Step-by-step explanation:
Given: [tex]f(x) = - 3x + 3[/tex]
Solve for x, When: [tex]f(x) = 6[/tex]
Step by step:
[tex] - 3x + 3 = 6[/tex]
[tex] - 3x = 6 - 3[/tex]
[tex] - 3x = 3[/tex]
[tex]x = 3 \div - 3[/tex]
[tex]\boxed{\green{x = - 1}}[/tex]
Is -10/3 greater or less that the square root of -9
Answers
Step-by-step explanation:
The square root of -9 is greater than that
Yoooo help me outttt
Answers
Answer:
P Coordinate = (4, -2)
HELP me guys i am illiterate
Find the unknown angles
Answers
Answer:
90°
Step-by-step explanation:
X=180°-(45°+45°){being square property}
X=180°-90°
X=90°
what is the sum of (3x^2y+4xy^2-2y^3+3) and (x^2y+2y^3-4)
Answers
Answer:
This is the sum ---> 4x^2y + 4xy^2 - 1
Step-by-step explanation:
(3x^2y+4xy^2-2y^3+3) + (x^2y+2y^3-4)
(remove the parenthesis)
= 3x^2y + 4xy^2 - 2y^3 + 3 + x^2y + 2y^3 - 4
(now, group the like terms)
= -2y^3 + 2y^3 + 4xy^2 + 3x^2y + x^2y + 3 - 4
(add the elements you think are alike or similar)
= -2y^3 + 2y^3 + 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y + 3 - 4
= 4xy^2 + 4x^2y - 1
Answer:
the sum is 4x^2y + 4xy^2 - 1
Evaluate (27)−1/3(27)−1/3×[271/3−272/3]
Answers
Answer:
[tex](27) - \frac{1}{3} (27) - \frac{1}{3} \times ( \frac{271}{3} - \frac{272}{3} ) \\ \\ 27 - 9 - \frac{1}{3} ( \frac{ - 1}{3} ) \\ \\ 27 - 9 - ( - \frac{1}{9} ) \\ \\ 27 - 9 + \frac{1}{9} \\ \\ \frac{243 - 81 + 1}{9} \\ \\ = \frac{163}{9} = 18.1 = 18 \frac{1}{9} [/tex]
I hope I helped you^_^
Someone plz help me I don’t get it plz help :(( I’m stressed out
Answers
Pregunta 1
Why would 3x + 11 + 2x NOT be a trinomial?
Answers
Step-by-step explanation:
Because it actually simplifies into a binomial 5x+11 by collecting like terms
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex]\huge \sf \: 3x + 11 + 2x[/tex]
The above expression will not become a trinomial because 3x + 11 + 2x will get simplified to -> 5x + 11 l, which is a binomial (an expression having 2 terms). To make it simpler, trinomials are formed if there are 2 or more variables or if the given variable is squared or cubed so that the expression cannot be easily simplified.
Explanation in numbers :-[tex] \sf \: 3x + 11 + 2x \\ = \sf \: 3x + 2x + 11 \\ = \sf \: 5x + 11 \\ \bcancel = \bf \: a \: trinomial; \: it \: is \: a \: binomial[/tex]
Please answer , with work . Thank you !
Answers
What is 3/4 divided 1/2
Answers
Answer:
.375
Step-by-step explanation:
3/4 ÷ 1/2 = 3/4 • 2/1
Now that it’s multiplication, you multiply straight across.
3•2 / 4•1 = 6/4
Then remember to reduce. Since both 6 and 4 are divisible by 2, divide both by 2.
6/4 = 3/2
The words above say “the expression x-2 has a value of -5 for some value of x. For the same value of x, what is the value of the expression (x-2)*squared. Show your reasoning for this problem.” Also i said (*squared) bcuz its squared with a 2 so please dont leave that part out. D: help pls
Answers
Answer:
(1)
Step-by-step explanation:
x - 2 = - 5 Add 1 to each side
x = - 5 + 2
x = - 3
Now go to the next part
(x - 2)^2
(-3 - 2)^2
(- 5)^2
Now it's a good idea at this point to separate the squared. It means that two numbers that are the same are to be multiplied together.
(-5)(-5) Two minuses are going to give you a plus.
5 * 5 = 25
(-5) * (-5) also give you 25
The answer is (1)
Find the rate of change
Answers
Answer: 280 graduates per year
Step-by-step explanation:
the rate of change is the change in y (number of graduates) divided by the change in x (year).
So: [tex]\frac{8.9-7.5}{2010-2005} = 0.28[/tex] because this number is in thousands of graduates, multiply by 1000 to get 0.28*1000=280 graduates per year
Answer:
[tex]\frac{1.4}{5}[/tex]
Step-by-step explanation:
We have the coordinates (2005, 7.5) and (2010, 8.9). To find the rate of change we must use the equation [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] which is [tex]\frac{8.9-7.5}{2010-2005}[/tex]. To simplify that further, we get [tex]\frac{1.4}{5}[/tex] therefore the rate of change is 1.4 over 5.
