Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]15x+6=10x+21[/tex]
Subtract 6 from both sides:
[tex]15x+6-6=10x+21-6[/tex]
[tex]15x=10x+15[/tex]
Subtract 10x from both sides:
[tex]15x-10x=10x+15-10x[/tex]
[tex]5x=15[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{15}{5}[/tex]
[tex]x=3[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{15x + 6 = 10x + 21}[/tex]
Move 10x to left hand side and change it's sign
Similarly, move 6 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{15x - 10x = 21 - 6}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 21 - 6}}[/tex]
Subtract 6 from 21
[tex] \dashrightarrow{ \sf{5x = 15}}[/tex]
Divide both sides by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{15}{5}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 3}}[/tex]
Hope I helped!
Best regards! :D
Solve for x. 1/4x+8>11
Answer:
x > 12
Step-by-step explanation:
Step 1: Subtract 8 from both sides
[tex]\frac{1}{4}x[/tex] + 8 - 8 > 11 − 8
[tex]\frac{1}{4}x[/tex] > 3
Step 2: Multiply both sides by 4.
(4) ([tex]\frac{1}{4}x[/tex]) > (4) (3)
x > 12
Hope it helps
F(b) = 4b^2 + 3b Find f(b)
Jose can read 7 pages of his book in 5minutes . At this rate how long will it take him to read the entire 175 page book.
Answer:
It will take 125 minutes or 2 hours and 5 minutes.
Step-by-step explanation:
We can use a proportion.
7 pages is to 5 minutes as 175 pages is to x minutes
7 : 5 = 175 : x
7/5 = 175/x
7x = 5 * 175
7x = 875
x = 125
It will take 125 minutes or 2 hours and 5 minutes.
The slope of the line represented by the equation 2(x - 3) - 6y = 10 is
equal to what?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of the line is;
2(x - 3) - 6y = 10
Placing the line in slope intercept form we get;
6y = 2x - 6 - 10
6y = 2x - 16
Dividing throughout by 6 we get;
y = [tex]\frac{2}{6}[/tex]x - [tex]\frac{16}{6}[/tex]
Simplifying gives;
y = [tex]\frac{1}{3} x +2 \frac{2}{3}[/tex]
So the slope of this line = [tex]\frac{1}{3}[/tex]
What does constant growth and double mean
The measure of AngleRST can be represented by the expression (6x + 12)°.
Three lines extend from point S. The space between lines S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12.
What is mAngleRST in degrees?
78°
84°
120°
156°
Answer:
The Answer is: C.120
Trust me it is right.Good Luck:)Answer:
∠ RST = 120°
Step-by-step explanation:
∠ RST = ∠ RSU + ∠ UST , substitute values
6x + 12 = 78 + 3x - 12
6x + 12 = 3x + 66 ( subtract 3x from both sides )
3x + 12 = 66 ( subtract 12 from both sides )
3x = 54 ( divide both sides by 3 )
x = 18
Thus
∠ RST = 6x + 12 = 6(18) + 12 = 108 + 12 = 120°
The midpoint of AB is M(-1, –4). If the coordinates of A are (-3, -7), what are
the coordinates of B?
Answer:
B(1, -1)Step-by-step explanation:
If M(-1, 4) is midpoint of AB then:
[tex]x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ -1-(-3)=x_B-(-1)\qquad\wedge\qquad -4-(-7)=y_B -(-4)\\\\ -1+3=x_B+1\qquad\qquad\wedge\qquad\ \ -4+7=y_B+4 \\\\ {}\qquad x_B=1\qquad\qquad\wedge\qquad\qquad \ y_B=-1[/tex]
using the difference in perfect squares completely factor the binomial x^2-121
Answer:
unditified?
Step-by-step explanation:
The coordinates of the midpoint of line GH are M(−132,−6) and the coordinates of one endpoint are G(−4, 1). The coordinates of the other endpoint are
Answer:
Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(
2
−13
,−6) .
The coordinates of endpoint G are (-4,1)
We have to determine the coordinates of endpoint H.
The midpoint of the line segment joining the points (x_1, y_1)(x
1
,y
1
) and (x_2, y_2)(x
2
,y
2
) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(
2
x
1
+x
2
,
2
y
1
+y
2
) .
Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x
1
=−4,y
1
=1
Let the endpoint H be (x_2,y_2)(x
2
,y
2
)
The midpoint coordinate M is (\frac{-13}{2}, -6)(
2
−13
,−6) .
So, \frac{-13}{2} = \frac{-4+x_2}{2}
2
−13
=
2
−4+x
2
{-13} = {-4+x_2}−13=−4+x
2
{-13}+4 = {x_2}−13+4=x
2
{x_2}=9x
2
=9
Now, -6 = \frac{1+y_2}{2}−6=
2
1+y
2
-12 = {1+y_2}−12=1+y
2
y_2= -13y
2
=−13
So, the other endpoint H is (-9,-13).
What kind of triangle?
Answer:
I think it's an obtuse scalene.
Step-by-step explanation:
What is -8-__=-5
And how do i do it step by step?
Answer:
-3
Step-by-step explanation:
-5 is greater than -8, so in order for a subtraction problem to give a higher number is if it is negative, because a negative negative is a positive.
-8--3=-5
This is another way of saying
-8+3=-5
Find the mid point (-5,3) and (-3,-3)
Answer:
(-4, 0)
Step-by-step explanation:
midpoint formula: (x₁ + x₂) / 2 , (y₁ + y₂) / 2
(-5, 3) & (-3, -3)
(-5 - 3) / 2 , (3 - 3) / 2
-8/2 , 0/2
(-4, 0)
If the greatest common divisor is 18 What is the smallest common floor?
Answer:
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Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
2y - 12
2(y -12)
2(y + 12)
2y + 12
Answer:
A
Step-by-step explanation:
two times a quantity of number_ 2y
minus twelve-. 2y - 12
Answer: A
Step-by-step explanation:
[tex]7y \times x49[/tex]
Whats the answer corectly
Answer:
7y(x^49)
Step-by-step explanation:
Answer:
Whats X and what y
Step-by-step explanation:
will give brainliest and 20 points:
f(x+1) = 8(x+1)^2+3(x+1)-8
Answer:
Step-by-step explanation:
The Grayson family got a new backyard swimming pool. When they tell their friends how much water it holds, they round the number to 51{,}10051,10051, comma, 100 liters. Which could be the amount of water in the pool if they rounded the number of liters to the nearest hundred?
The amount of water rounded to the nearest hundred should be 100 liters.
Calculation of the amount of water:Since The Grayson family got a new backyard swimming pool. When they tell their friends how much water it holds, they round the number to 51{,}10051,10051, comma, 100 liters.
So based on this, if there is 51 liters so it should be rounded to 100 liters
Therefore, we can conclude that The amount of water rounded to the nearest hundred should be 100 liters.
Learn more about water here: https://brainly.com/question/18935052
A college book store marks up the price that is pays the publisher for a book by 35%. If the selling price of a book is $56.00, how much did the bookstore pay for this book
Answer:
$41.48
Step-by-step explanation:
From the information given, you know that the price that the bookstore pays for a book is marked up 35% and that the selling price of a book is $56, so to be able to find the amount that the bookstore paid for a specific book, you can write the following equation:
x+0.35x=56, where x is the price the bookstore paid for the book.
Now you can solve for x:
1.35x=56
x=56/1.35
x=41.48
According to this, the bookstore paid $41.48 for this book.
1,848/1,386 As a fraction
Answer:
1.3 The 3 goes on continuonsly
Step-by-step explanation:
help meh please!!!!!! i think it is algebra 1. i am not so sure...........................................................................................................................................................................................
A rectangular plot has a diagonal of 39m and a width of 15m what is it's area
Answer:
585m
Use the Pythagoreas' Theorem.
You will get the answer 585. Hope this helps!
Answer:
585m
Step-by-step explanation:
Answer gotta be 585m.
Write the equation with both x = 8 and x = -8 as solutions. please answer fast it’s 8th grade math <3
Answer:
7 + x + x= 7
Step-by-step explanation:
(7+8) + -8 = 7
Find the volume of the prism. Write the answer as a fraction in simplest form.
**EVERY PERSON WHO ANSWERS THIS WILL GET BRAINLIEST ANSWER!**
Answer:1 1/4
Step-by-step explanation:
if u add all together in decimals it will become 1.125.
pls give me brainless
if you can answer any of these please do and put the question number by the answer
Please help! I’ll give brainliest!!
1. What is a proportion? Show example.
2. How do you solve propositions?
3. What is the “easy” method to solving proportions?
Answer:
1.a part, share, or number considered in comparative relation to a whole.
1/3 = 2/6
2.If a proposition is true, then we say it has a truth value of "true"; if a proposition is false, its truth value is "false". For example, "Grass is green", and "2 + 5 = 5" are propositions. The first proposition has the truth value of "true" and the second "false".
3.
Don't confuse cross multiplication with cross cancellation. You use cross cancellation to make multiplying fractions easier. Set the two cross products equal to each other. 1 · 2 = 2 and 0.5 · f = 0.5f.
convert 23456 octal into hexa number system
Answer:
272E
Step-by-step explanation:
PLEASE SOLVE QUICKLY!
Answer:
angle xyb will measure 123 degrees.
Step-by-step explanation:
because we know that angle ayz is 57 degrees and angle xyz is 90, we find that angle xya measures 33 degrees by subtracting 57 from 90. then, we can find angle xyb by subtracting 33 from 180, getting 147 degrees. when we add 147, 33, and 57, we get 237 degrees. finally, we subtract 237 from 360 and get 123 degrees, our final angle. hope this helps:)
If (42)p = 414, what is the value of p? (1 point) Question 5 options: 1) 7 2) 8 3) 12 4) 16
How to make 4 1/5 as a decimal?
Answer:
4.2
Step-by-step explanation:
Because 1/5 has to be converted into the 100 as the denominator and the number you are supposed to have for the numerator so it can be easier and 4 is the whole number so it doesnt need to be in the equation.
1/5
X
20= 20/100 so now all you have to do is make that a decimal since it hasnt got to 100 or past it and you have your answer
What is the speed of a car that traveled a distance of 75 km in 1.5 hours?
Answer:
50
Step-by-step explanation:
(I may be wrong)
I divided 75 km by 1.5
Answer: 50
Step-by-step explanation:
S=D÷T. So, The distance is 75 km and the time is 1.5 hours then 75÷1.5=50. 50 is the speed of the car
If m<9=97 and m<12=114, find each measure.
Angles in a transversal can be congruent either by theorems of corresponding and vertical angles.
The measure of the angles are:
[tex]\angle 1 = 97^o[/tex]
[tex]\angle 2 = 83[/tex]
[tex]\angle 3 = 66[/tex]
[tex]\angle 4 = 114^o[/tex]
[tex]\angle 5 = 83^o[/tex]
[tex]\angle 6 = 97^o[/tex]
[tex]\angle 7 = 114^o[/tex]
[tex]\angle 8 = 66^o[/tex]
[tex]\angle 9 = 97^o[/tex]
[tex]\angle 10 = 83[/tex]
[tex]\angle 11 = 66[/tex]
[tex]\angle 12 = 114^o[/tex]
[tex]\angle 13 = 83^o[/tex]
[tex]\angle 14 = 97^o[/tex]
[tex]\angle 15 = 114^o[/tex]
[tex]\angle 16 = 66^o[/tex]
Given that:
[tex]\angle 9 = 97^o[/tex]
[tex]\angle 12 = 114^o[/tex]
The following angles are congruent by theorem of vertical angles.
[tex]\angle 9[/tex] and [tex]\angle 14[/tex]
[tex]\angle 12[/tex] and [tex]\angle 15[/tex]
So, we have:
[tex]\angle 14 = 97^o[/tex]
[tex]\angle 15 = 114^o[/tex]
Apply the theorem of angles on a straight line, we have:
[tex]\angle 9 + \angle 10 = 180[/tex]
[tex]\angle 11 + \angle 12 = 180[/tex]
So, we have:
[tex]\angle 10 = 180 - 97[/tex]
[tex]\angle 10 = 83[/tex]
[tex]\angle 11 = 180 - 114[/tex]
[tex]\angle 11 = 66[/tex]
The following angles are congruent by theorem of vertical angles.
[tex]\angle 10[/tex] and [tex]\angle 13[/tex]
[tex]\angle 11[/tex] and [tex]\angle 16[/tex]
So, we have:
[tex]\angle 13 = 83^o[/tex]
[tex]\angle 16 = 66^o[/tex]
The following angles are congruent by theorem of corresponding angles.
[tex]\angle 9[/tex] and [tex]\angle 1[/tex] [tex]\angle 13[/tex] and [tex]\angle 5[/tex] [tex]\angle 10[/tex] and [tex]\angle 2[/tex]
[tex]\angle 14[/tex] and [tex]\angle 6[/tex] [tex]\angle 11[/tex] and [tex]\angle 3[/tex] [tex]\angle 15[/tex] and [tex]\angle 7[/tex]
[tex]\angle 12[/tex] and [tex]\angle 4[/tex] [tex]\angle 16[/tex] and [tex]\angle 8[/tex]
So, we have:
[tex]\angle 1 = 97^o[/tex]
[tex]\angle 4 = 114^o[/tex]
[tex]\angle 6 = 97^o[/tex]
[tex]\angle 7 = 114^o[/tex]
[tex]\angle 2 = 83[/tex]
[tex]\angle 3 = 66[/tex]
[tex]\angle 5 = 83^o[/tex]
[tex]\angle 8 = 66^o[/tex]
Read more about corresponding and vertical angles at:
https://brainly.com/question/14209455
