Answer:
4
Step-by-step explanation:
22=4(x+3)-5
22+5=4(x+3)-5+5
27=4(x+3)
27/4=4(x+3)/4
27/4=x+3
(27/4)-3=x+3-3
x=(27/4)-3
x=15/4
x=3.75
x=4
What is 15 percent of 1135? Also Explain how you came up with your solution and the actions you took.
Find ""k"" so that the 58 unit diagonal of a rectangle can have an aspect ratio of 15:8. Then find the length and width of the rectangle and find its area.
Step-by-step explanation:
The area of any 2-d quadrilateral is equal to the base of the shape times the height, though we can just sub in length and width here. The key bits of information here is the aspect ratio (4:3) and the given area (300 in^2).
So far this gives us L∗W=300in2
Now, the aspect ratio given implies for every 4 inches in length, there will be 3 inches in width. This allows us to factor out a 4 and a 3 from the Length and Width respectively and give them the same constant variable, like so:
4x∗3x=300in2
Now, some might be tempted to go ahead with 12x here, but let’s expand the left side out to see what’s really going on:
4∗x∗3∗x=300in2
From here, let’s resolve like terms Our constants will multiply together and give us 12, and x * x of course gives us x^2 to give us the following:
12x2=300in2
From here, simply divide through by 12 to isolate x on one side,x2=25
And finally take the square root of both sides to work out what your common factor is,
x=5
Now that we have out common factor, let’s plug it back into our original formula to find our Length and Width, like so.
(4∗5)in∗(3∗5)in=300in2
20in∗15in=300in2
Therefore, the Length of our rectangle is 20in, and the Width of our rectangle is 15in
A fish tank is the shape of a cube. It's volume is 125 ft3. What is the area of one face of the tank
Which property is illustrated by the following?
If 2(x+y)=z, then 2x+2y=z
Solve the following using substitution
Y = 2X - 3
4X -3Y = 31
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points (7,9) and (15,-29)
Answer:
-4.75
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
So applying the formula
(-29-9)/(15-7)
= -38/8 = -4.75
2
The table shows the length, L, of the spiral from (0,0) to Corner, where k is an even number.
Term number
Length
k
1
2
2
2
4
6
3
6
12
4
8
20
n
k
n(n+1)
(a) Find a formula for n in terms of k.
(b) Use part (a) to show that the formula for the length, I., of the spiral from (0,0) to Corner is
1. = $(x+2)
(e) Show that the formula gives the correct length of the spiral from (0,0) to Comer (4)
Answer:
first eat this momo you will got answer yourself
Which of the following could be the graph of the line y = -3x +2 ?
The picture is below ;-;
To travel the Erie Canal, a boat must go through locks
Answer:
locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall
-((r-3-5p) How do I do this problem?
Answer:
-(-4P-3) =
4P + 3
Step-by-step explanation:
Answer:
5p - r +3
Step-by-step explanation:
Question shows - (r-3-5p)
- r - - 3 - - 5 p we can simplify and separate and instruct each value then add your brackets.
- r - ( - 3) - (- 5)
- r + 3 - ( - 5p) and see that the - - 5p = + 5p
-r + 3 + 5p then rearrange and keep format.
5p -r + 3
What is the answer to this?
Answer:
true
Step-by-step explanation:
5(1+2x)= 5 +10x =10x + 5
Answer:
Yes, they are eqivelant.
Step-by-step explanation:
5(1+2x) and 10x+5
The first step is to set them equal to each other, to see if they are equivelent.
5(1+2x) = 10x+5
Distribute the 5 to both terms in the parentheses by multiplying.
5(1) + 5(2x) = 10x +5
5 + 10x = 10x +5
The communative property of addition proves that these are equal.
Can someone help me im struggling
[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]
Please anything helps. Bisect each angle below
(Don’t know what I was doing on the first one)
Answer:
U are doing right but don't move ur compass when u are doing the line (i mean opposite line)otherwise ur line at not bisect
Remove all perfect squares from inside the square root [tex]\sqrt{200}[/tex]
helppppppp pleaseeereee
Which number sentence has a product of 42?
7 × (-6)
-6 × 7
-7 × (-6)
-7 × 6
Answer:
-7 × (-6)
Step-by-step explanation:
7 × (-6) = -42
-6 × 7 = -42
-7 × (-6) = 42
-7 × 6 = -42
Answer:
[tex] - 7 + ( - 6) = 42[/tex]
I hope I helped you^_^
If LM=22 and MN=15,find LN
Answer:
37
Step-by-step explanation:
LMN is one big line
LM=22
LM=15
LN=22+15=37
Answer:
LN = LM + MN = 37
Step-by-step explanation:
L————————-M———————-N
22. 15
L————————-37———————-N
(g + 4) - 3g = 1 + g
(g + 4) - 3g = 1 + g
or, g + 4 - 3g = 1 + g
or, -2g + 4 = 1 + g
or, -2g - g = 1 - 4
or, -3g = -3
or, g = -3/-3
or, g = 1
The value of g is 1.
Determine the equation of the line that passaes through (2,4) and is perpendicular to thr line x+y=0
9514 1404 393
Answer:
x -y = -2
Step-by-step explanation:
The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...
x -y = constant
The value of the constant can be found using the x and y of the given point.
x -y = 2 -4 = -2
The perpendicular line is ...
x -y = -2
Determine whether each equation is always, sometimes, or never true.
2x + 7 - x = 3 + x + 4
Always
Sometimes
Never
Empty Set
I said never but I want see if thats right
What is an equation of the line that passes through the points (1, 8) and (-1, -2)
Answer:
Step-by-step explanation:
(1,8) (-1,-2)
Slope: (-2-8)/(-1-1) = -10/-2 = 5
y -8 = 5 (x - 1)
y - 8 = 5x - 5
y = 5x +3
the base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
Frito lay mix variety in pack 28 bags for 9.88 cost per bag
Answer:
Each bag costs 0.35 cents
Step-by-step explanation:
divide 9.88 by 28 and that gives you the total for each bag of chips
This one if to hard for me
Answer:
x=0 , x = 1/2
Step-by-step explanation:
(4x-1)=1 —> 4x-1=1—> 4x=1+1—> 4x=2 —> x=2/4 —> x= 1/2
-(4x-1)=1—>-4x+1=1—> 4x= 1-1 —> x=0
Hello there!
We are given the equation:
[tex] \displaystyle \large{ |4x - 1| = 1}[/tex]
Definition/Property
[tex] \displaystyle \large{ |a| = \sqrt{ {a}^{2} } } \\ \displaystyle \large{ |a| = b \longrightarrow a = \pm b} \\ \displaystyle \large{ |a| = \begin{cases} a \: \: (x \geqslant 0) \\ - a \: \: (a < 0) \end{cases}}[/tex]
First, cancel the absolute value sign and write plus-minus beside 1.
[tex] \displaystyle \large{ |4x - 1| = 1} \\ \displaystyle \large{ 4x - 1 = \pm 1} \\ [/tex]
Break in two cases.
[tex] \displaystyle \large{ 4x - 1 = \begin{cases} 1 \\ - 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 1 + 1 \\ - 1 + 1 \end{cases}} \\ \displaystyle \large{ 4x = \begin{cases} 2 \\ 0 \end{cases}} \\ \displaystyle \large{ x = \begin{cases} \frac{2}{4} \\ \frac{0}{4} \end{cases}}[/tex]
Therefore, x = 0 or 1/2
Let me know if you have any questions!
Topic: Absolute Value Function - Equations
If a18-a12=24.Find d.
a18 − a12 = 24 == 24
d == 24
I hope this is correct and helps..
Please help!! Will give BRAINLIEST!
Relative to the cave opening, what integer represents the depth of the second
climber?
Answer:
what is the depth
Step-by-step explanation:
−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis
Answer: -4
Step-by-step explanation:
Start with -6, since there is nothing to solve in the parenthesis.
Subtract -2 from -6, which will get you -4.
what is the distributive property for 72 +12
Answer:
4
Step-by-step explanation:
I need help with these problems from #33 to #40 can someone please help me with them ASAP please and thank you.. can you show step by step please and thank you
#33
[tex]\\ \sf\longmapsto \dfrac{300(300+1)}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{300(301)}{2}[/tex]
[tex]\\ \sf\longmapsto 150(301)=45150[/tex]
#34
[tex]\\ \sf\longmapsto \dfrac{500(500+1)}{2}[/tex]
[tex]\\ \sf\longmapsto 250(501)[/tex]
[tex]\\ \sf\longmapsto 125250[/tex]
#35
[tex]\\ \sf\longmapsto \dfrac{675(675+1)}{2}[/tex]
[tex]\\ \sf\longmapsto dfrac{675(676)}{2}[/tex]
[tex]\\ \sf\longmapsto 675(338)[/tex]
[tex]\\ \sf\longmapsto 228150[/tex]
#36
[tex]\\ \sf\longmapsto \dfrac{825(825+1)}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{825(826)}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{825(413)}{1}[/tex]
[tex]\\ \sf\longmapsto 340725[/tex]
#37
n=102/2=51
[tex]\\ \sf\longmapsto n^2[/tex]
[tex]\\ \sf\longmapsto 51^2[/tex]
[tex]\\ \sf\longmapsto 2621[/tex]
#38
n=49+1/2=50/2=25
[tex]\\ \sf\longmapsto n^2[/tex]
[tex]\\ \sf\longmapsto 25^2[/tex]
[tex]\\ \sf\longmapsto 625[/tex]
#39
n=999+1/2=1000/2=500
[tex]\\ \sf\longmapsto n^2[/tex]
[tex]\\ \sf\longmapsto 500^2[/tex]
[tex]\\ \sf\longmapsto 250000[/tex]
In the attachment below I need you to find m∠DBC.
Answer:
m<DBC = 109
Step-by-step explanation:
8x-27=6x+7
8x=6x+34
2x=34
x=17
8(17)-27= 109
Answer: 109
Step-by-step explanation:
i'm not entirely sure of this answer as its been a while since ive done problems like this, however, i think the steps to solve are setting (8x-27) equal to (6x+7). Once you do that, you can solve for x. Substitute x into angle DBC to find the answer.
