Step-by-step explanation:
→ 70 = 19 - 3x
→ - 19 + 70 = -3x
→ 51 = -3x
→ -3x = -51
→ x = -51/3 = -17
→ x = -17
therefore, value of x is -17.
hope this answer helps you dear!
Answer:
[tex]\boxed{\bf x=-17}[/tex]
Step-by-step explanation:
[tex]\bf 70=19-3x[/tex]
[tex]\bf 19-3x=70[/tex]
[tex]\boxed{\bf Subtract \: 19\: from\: both\: sides:}[/tex]
[tex]\bf 19-3x-19=70-19[/tex][tex]\bf -3x=51[/tex][tex]\boxed{\bf Divide \: both\:sides\: by -3:}[/tex]
[tex]\bf \cfrac{-3x}{-3}=\cfrac{51}{-3}[/tex][tex]\bf x=-17[/tex]Sienna, Rhys, and Micah are all reading the same book for school. Sienna has read 40% as far as Rhys has, and Rhys has read 40% as far as Micah has. If Sienna has read 60 pages, how many pages has Micah read?
Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.
Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:
= Number of pages / Percentage read
= 60 / 40%
= 150 pages
The 150 pages read by Rhys is 40% of what Micah has read. Micah has therefore read:
= 150 / 40%
= 375 pages
In conclusion, Micah has read 375 pages.
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mr. tyler has a total of $5,000 in savings account and in a mutual fund. If he has x dollars in the savings account, how much dollars does he have in the mutusl fund?
Mr. Tyler has $(5000 - x) in the mutual fund, where is amount in the saving account.
If Mr. Tyler has $5,000 in total, and x dollars in the savings account.
The amount he has in the mutual fund can be calculated by subtracting the amount in the savings account from the total amount.
Amount in the mutual fund = Total amount - Amount in the savings account
Here, Total amount = $5000 and Amount in the savings account = x
Substituting the values back to the formula as
Amount in the mutual fund = $5,000 - x
So, Mr. Tyler has $(5000 - x) in the mutual fund.
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Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?
Answer:
The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.
Explanation:
1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
How do I solve for this?
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Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
How do I find all the angles?
Step-by-step explanation:
so let's say
•(x + 60) = <a
•2x = <b
so
•<a = <z & <b = <y
&
•<a + <b = 180
(x + 60) + 2x = 180
3x + 60 = 180
3x = 180 - 60
3x = 120
x = 40
• <a = (x + 60)
= 40 + 60
= 100
• <b = 2x
= 2 × 100
= 200
• <y = <b
= 200
• <z = <a
= 100
Step-by-step explanation:
so in a 4 sided figure all the angles measure to 360º in total
as well as in this case due to the two lines being parallel z=x+60 and y=2x
The easiest way for me is to write that all the angles = 360.
x+60+x+60+2x=2x=360
6x+120=300 simplify
6x=180 divide
x=30
so the angles are all 90º if you find each of them
I need some help with this thank you!
Answer:
9
Step-by-step explanation:
2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2
2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2
2^28(3^-2/2^3)^4 x 243^2/256^2
2^28 x 1/2^12 x 3^8 x 243^2/256^2
243^2 x 1 x 2^28/256^2 x 3^8 x 2^12
2^28 x 243^2/2^12 x 3^8 x 256^2
2^16 x 243^2/3^8 x 256^2
2^16 x 3^10/2^16 x 3^8
=3^2
=9
Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £36. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned?
Step-by-step explanation:
The total of windows they have cleaned = 12
They have cleaned 12 windows = they earn £ 36.
If they have cleaned 1 window = they earn 36/12 = £3.
So Tom have cleaned 7 windows = Tom earn = 3 * 7 = £21.
Please give me a brainliest answer
May I please receive help?
Answer:
X = 40°
Step-by-step explanation:
The triangle on the left is an Isosceles triangle which means it has 2 equal sides. So, to find the third angle, u have to minus 180 and both the base angles.
180° - 35° - 35°
= 110°
Then, minus 180 with the right triangle base bcs a straight line is 180°.
So,
180 - 110
= 70°
Now u got the right triangle base which is also an isosceles triangle so both angles are 70°
Now to find the third angle, minus 180 to both the base angles
180 - 70 - 70
= 40°
And that's your answer.
PLEASE ANSWER RIGHT NOW BRAINLIEST POINTS ETC
Answer:
-17
Step-by-step explanation:
Distribute:
7w+140+w=4
Add like terms
8w+140=4
Move constant to the right
8w=4-140
Add like terms
8w=-136
Divide both sides by 8
w=-17
The area of a fenced in back yard can be 144 square feet. The owners are trying to decide on the dimensions of the back yard, and have decided they want the length to be 10 feet more than its width. What will the dimensions of the back yard be?
A rectangle can be defined as a 4 sided geometric figure. One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.
The dimensions of the background are given as Width: 8 feet and the Length: 18 feet
The formula for the area of a rectangle is Length x Width.
The question says:
The owners want the length to be 10 feet more than its width. Hence:
L = W + 10
The area of the fenced backyard = 144 square feet.
Hence,
(W + 10) x W = 144
W² + 10W = 144
Rewriting the equation
W² + 10W - 144 = 0
We factorize the algebraic expression above
W² - 8W + 18W - 144 = 0
W(W - 8) + 18(W - 8) = 0
(W - 8) (W + 18) = 0
W - 8 = 0, W = 8
W + 18 = 0, W = -18
Since the width cannot be a negative value, the width of the backyard is 8 feet
Solving for the Length,
L = W + 10
L = 8 + 10
L = 18 feet
The length of the backyard is 18 feet.
Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.
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geometry! helpopppp!!!!!
What is the answer of this
Answer:
[tex]\frac{25}{32}[/tex]
Step-by-step explanation:
Rode here on the bus
Now you're one of us
It was magic hour
Counting motorbikes
On the turnpike
One of Eisenhower's
Live your life on a merry-go-round
Who starts a fire just to let it go out?
(dreams tonite lol)
Find the equation of the line that passes through (1,4) and is parallel to3x+y+2=0
Answer:
y=-3x+7
Step-by-step explanation:
Step 1:
Make your thing into y=mx+b
3x+y+2=0 is the same as y=-3x-2
Step 2:
Plot your point at (1, 4)
Step 3:
Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)
Step 4:
Draw your line thru the points.
See below for an image. Hope that helped
Simplify this algebraic expression.
z- 4/4+8
A. Z-7
B. Z+9
C. 2-3
D. Z+7
Answer:
(D) : Z+7
Step-by-step explanation:
−
1
+
8
}}
z−1+8
+
7
Answer:
Z-4/4+8
Z - 1 + 8
Z + (-1 + 8)
Z + 7
19. Graph the function 3x + 2y = 8 with the given
domain: (-2,0, 2, 4}
TEK 3C
Justify/Show your work:
Answer:
Step-by-step explanation:
Select all the statements that best describe the table below.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct statements are :
The rate of change is not constantThe relationship is non linear Independent variable is Age Dependent variable is selling price It is a negative relationshipPLEASE HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS.
Is 5x² + 3x - 3 a monomial, binomial or trinomial?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The number of terms in the given expression is 3, so it is a Trinomial
5x^2 + 3x - 3 is a trinomial.
A monomial is an expression that has one term, such as 3x.
A binomial is an expression that has two terms, such as 4x^2 + 6x or 4x - 6.
A trinomial is an expression that has three terms, such as x^2 + 5x + 6.
Hope this helps!! :)
i need help my freind mike hawk with his math how do i help him
Answer:
well you got to tell us what we're helping you with!
Step-by-step explanation:
Answer:
Help him understand the topic and give him a few questions to make sure he understands it then let him to do his homework and correct if something is wrong.
Step-by-step explanation:
Round each number to the nearest ten 24. 311. 107
Answer:
24-20 311-310 107-110
Step-by-step explanation:
Answer:
nearest tenth
......
24= 20
311=310
107=110..........
Write 1 and 1/5 and 1 and 1/3 using a common denominator :)
Answer:
1 3/15
1 5/15
Step-by-step explanation:
how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)
Answer:
2q-1
Step-by-step explanation:
Add:
Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.
Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q
5/4q-1/4q is q
q+q is 2q
Now do the same thing with the numbers that doesn't have variables
1-4+2=-1
So the answer is 2q-1
Hope this helps!
Answer:
2q -1
Step-by-step explanation:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
5/4q + 1 + q - 4 - 1/4q + 2
5/4q + q - 1/4q + 1 - 4 + 2
2q -1
Please help I hate geometry
transverse s at angle 135°
180° - 135° = 45°
Angle 2 is congruent to 45° because they're alternate exterior angles.
transverse t at angle 120°
180° - 120° = 60°
Angle 3 is congruent to 60° because they're alternate exterior angles.
One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.
135° = angle 1 + 60°
angle 1 = 75°
120° = angle 1 + 45°
angle 1 = 75°
Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°
Answer:
m∠1 = 75° m∠2 =45° m∠3 = 60°
Step-by-step explanation:
m∠1 = 180 - { (180 - 135) + (180 - 120) }
m∠1 = 180 - { 45 + 60 }
m∠1 = 75°
The angle between 1 and 3, lets call it x, is vertically opposite to ∠2, so we must find it first to be able to get ∠2
Since a ║b
Therefore ∠x and ∠135 are co-interior angles
Therefore ∠x = 180-135
m∠x = 45°
∠2 = ∠x (Vertically opposite angles)
∠2 = 45°
Between ∠2 and ∠3 there is an angle, let's call it z.
∠z = ∠1 (Vertically opposite angles)
∠z = 75°
Since the sum of ∠2, ∠z and ∠3 = 180° (Straight angle)
Therefore m∠3 = 180 - (∠2 + ∠z)
m∠3 = 180 - (45 + 75)
m∠3 = 60°
Or in a different way
∠2 + ∠z + ∠3 = 180
45 + 75 + ∠3 = 180
120 + ∠3 = 180
∠3 = 180 - 120
∠3 = 60°
Hope it helps
An airplane on autopilot took 5 hours to travel 3,590 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km per hour
Step-by-step explanation:
Drag up the correct symbol to make the following relationships true.
9,100
9,200
42,720
42,650
912
738
Ben has 69 planks that are of standard size. He would need 5 such planks to make a bookshelf. Find the maximum number of bookshelves Ben can make.
Answer:
13
Step-by-step explanation:
69/5=13 remainder 4
u cant make a bookshelf with 4 planks
Answer:
13
Step-by-step explanation:
69 total planks divided by 5 for each bookshelf.
That would be 69÷5=13.8
Seeing as you can't make .8 of a shelf, those planks would just be extra.
3/4 pages in 2 minutes how many pages in 1 minute
Answer:
3/8
Step-by-step explanation:
you can't split 3 in half to get a whole number, so you need to make it a different fraction with the same meaning to make it possible to divide by 2.
6/8 is the same as 3/4
divide by two to get 3/8 Don't divide the bottom number, just the top.
3/8 pages in one minute.
Hope this helps!
The angle of perspective is important
because
what should step 3 say?
Answer:
12x + 15 = 15
Step-by-step explanation:
step 2
9x + 3x + 15 = 15 ( collect like terms on left side )
step 3
12x + 15 = 15
How many times does the graph y = (x + 3)2 touch the x-axis?
x
Answer:
one
Step-by-step explanation:
y = (x + 3)^2
Start with the parent function y = x^2.
y = x^2 touches the x-axis at only 1 point, (0, 0).
The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.
Answer: one
Answer:
Step-by-step explanation:
To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:
y = (x + 3)^2 = 0
Taking the square root of both sides, we get x + 3 = ±0, or x = -3. As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}. Thus in theory, the graph touches the x-axis in two places, but these two places are identical: (-3, 0)
그if Ella runs 1 mile Monday and runs 3 miles Tuesday and runs 4 miles Thursday and skipped Wednesday how many miles she run in all ➗ it all up