If one is subtracted from seven times a certain number,
the result is the same as if 31 is added to three times the
number. Find the number.
Answers
Answer:
The number is 8
Step-by-step explanation:
Related Questions
(This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!
Answers
Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
1. ROTATE THE TRIANGLE A(3, 2) B(5,2)C(4,4) 90 DEGREES ABOUT POINT (-4, 2)
(20 Points)
A(-4, 9) B(2, 3) C(5,7)
A(3, 1) B(3, 3) C(7.9)
A(-4, 9) B(-4, 11) C(-6, 10)
Answers
Answer:
A (-4,9) B (-4,11) C (-6,10)
Last option is correct
Step-by-step explanation:
To rotate the vertices about the given point at 90 degrees, we follow the procedures below;
Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;
( -(n-y) + x , (m-x) + y)
Let’s now take the points individually;
(3,2 ) about (-4,2)
This becomes
(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)
The point (5,2) about (-4,2) becomes
(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)
and lastly
The point (4,4) about (-4,2) becomes
(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)
If 5x+1=-14, find the value of 3x+1.
Next question; If 4(s+2)-2=22, find the value of 3s+2.
Thank you!!! If you could answer this quickly pls.
Answers
5x+1=-14
-1 -1
Subtract one on both sides and you will have:
5x=-15
Now divide by five to get x by itself
5x/5=-15/5
x=-3
Now plug that in to 3x+1
3x+1=
3(-3)+1=
-9+1=
-8
Now for the next question 4(s+2)-2=22, you are trying to find the value of s to find the value of 3s+2. So you want to distribute the 4 to the s and to the two:
So 4(s) + 4(2) - 2 = 22
You will get:
4s+8-2=22
Simply:
4s+6=22
Subtract six from both sides of the equation
4s=16
Divide four on both sides to get s by itself:
4s/4 = 16/4
s=4
Plug that in to the second equation:
3s+2=
3(4)+2=
12+2=
14
Hope this helps!
Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6
Answers
infinitely many solutions
Step-by-step explanation:Hi there !
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 | + 6
3y = 3y
true ∀ y ∈ R
Good luck !
Write the equation of the line in slope-intercept form containing the point (2,4) and with a slope of
3/2.
Answers
Answer:
y=3/2x+1
Step-by-step explanation:
y=mx+b is the slope-intercept form
y=3/2x+b
we are looking for b now
plug in the points you provided
2=x, 4=y
4=3/2(2)+b
4=3+b
b=1 which is the intercept
Estimate the sum 59.6 + 51.4
Answers
Answer:
111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?
Answers
Answer:
- 0.000105156(x - 50)² + 0.64008
Step-by-step explanation:
Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :
To convert the curve model in feets to metres +, using the function :
m(x) = 0.3048x
Multiply m(x) by r(x)
Hence,
m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)
m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
Answers
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8
What is the distance between-3.8 and 4.2
Answers
Answer:
2.23606797749979
Midpoint
(2,−4.5)
Slope
0.5
x intercept
11.00
y intercept
−5.50
Step-by-step explanation:
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (1-3)2+(-5--4)2
d = √ ((-2)2+(-1)2)
d = √ (4+1)
d = √ 5
The distance between the points is 2.23606797749979
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(3+1)/2=2
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(-4+-5)/2=-4.5
The midpoint is: (2,-4.5)
Graphing the two points, midpoint and distance
P1 (3,-4)
P2 (1,-5)
Midpoint (2,-4.5)
The length of the black line is the distance between the points (2.23606797749979)
Find the slope of the line connecting the two points
Slope = (Y2-Y1) = (-5--4) = (-1) = 0.5
(X2-X1) (1-3) (-2)
Find the equation of the line passing through the two points
The general equation for a straight line is
y = mx + b
Where m represents the slope of the line which we found in the previous step to be 0.5
y = 0.50x + b
We substitute x and y for the values from one of our points (3,-4)
-4 = .50×3 + b
-4 = 1.50 + b
-4-1.50 = b
-5.50 = b
Knowing both b and m, we can contruct the equation of the line
y= 0.50x-5.50
X and Y intercepts
The x-intercept is a point on the graph where y is zero
Using the equation we found in the previous step and substituting zero for y
y= 0.50x-5.50
0= 0.50x-5.50
-0.50x= -5.50
x= -5.50/-0.50 = 11.00
The x intercept for this straight line is 11.00
The y-intercept is a point on the graph where x is zero
Using the equation we found in the previous step and substituting zero for x
y= 0.50×0-5.50
y= -5.50
The y intercept for this straight line is -5.50
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?
Write the equation to be used to solve this equation.
Answers
Answer:
i think 4 attires
Step-by-step explanation:
can u simplify 18/56 into a fraction?
Answers
Answer:
9/28
Step-by-step explanation:
just divide by 2
Answer: 9/28
Steps: 18/56
Factor the number: 8 = 2 · 9
Factor the number: 56 = 2 · 28
Cancel the common factor: 2
9/28
Plz mark brainliest:)
Evaluate each expression. (-3)-8 and -3-8
Answers
Answer:
-11 and 24
Step-by-step explanation:
(-3)-8=-3*(-8)=24
-3-8=-11
hope this helps
brainliest?
The graph below shows a dilation. Jacky says that the original image was enlarged, but Juan thinks the original image was reduced. Who is correct? How do you know?
Answers
Answer:
Jacky is correct
Step-by-step explanation:
If you look closely, There's another point A which an apostrophe. (A')
This normally means that this is point A after a dilation was made.
The image got bigger.
Amy can run the 150 meter dash in 50 seconds. John can run 1200 meters in 400 seconds. How fast does Amy run. How fast does john run?
Answers
Answer:
Amy and John both run 3 meters in 1 second
Step-by-step explanation:
Amy: 150/50=3 meters in 1 second
John: 1200/400=3 meters in 1 second
Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)
x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right
Answers
Answer:
A number line with a closed circle on 6 and shaded to the right.
Step-by-step explanation:
Answer:a number line with a closed circle on 6 and shading to the right
Step-by-step explanation:I think I’m right! Good luck
Round the factors and estimate the products.
a.
656 x 106 -
น
b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out
Answers
Answer:
a. 70,000
b. 24,000,000
c. 3,600,000
Step-by-step explanation:
You round all the numbers and multiply the rounded numbers.
So...
a. 656 = 700
106 = 100
7000*100= 70,000
b. 3108 = 3000
7942 = 8000
3000*8000= 24,000,000
c. 425 = 400
9311 = 9000
400*9000= 3,600,000
k(x) = (x + 1)2 – 25
What would this be rewritten in factored form?
Answers
Answer:
[tex]k(x)=(x-4)(x+6)[/tex]
Step-by-step explanation:
[tex]k(x)=(x+1)^2-25\\\\[/tex]
to factorize it you have to remember the difference of squares that says
[tex]a^2-b^2=(a-b)(a+b)[/tex]
so we have
[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]
and we apply the formula
[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]
so there you have it
[tex]k(x)=(x-4)(x+6)[/tex]
5/8 × 3/7 in its simplest form?
Answers
Answer:
15/56
Step-by-step explanation:
5/8 * 3/7 =
15/56
Answer:
15/56
Step-by-step explanation:
5/8 times 3/7
[tex]\frac{5 times 3}{8 times 7}[/tex]= 15/56 which is already in simplest form
Please correct me if I am wrong.
Courtney walks 3 laps around a 3-mile track. [1 mile is 5280 feet]. How far does she walk?
Answers
Answer:
9 miles, or 47520 feet :)
Step-by-step explanation:
Answer:
47520
Step-by-step explanation:
3x3=9
5280*9=47520
Three years ago, Jolene bought $500 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
Answers
Answer:
The stock is worth $702.5.
Step-by-step explanation:
Giving the following information:
Present Value= $500
Number of periods (n)= 3 years
Growth rate (i)= 12%
To calculate the value of the stock today, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.12^3)
FV= $702.5
The stock is worth $702.5.
Find the area of the whole triangle . Show all work.
Answers
Answer:
44 i believe
Step-by-step explanation:
What is the name of the triangle in which two sides have the same length and the corresponding two angles have the same size?
a. right
b. isosceles
c. scalene
d. obtuse
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
It is a Isosceles triangle
Step-by-step explanation:
The name of the triangle is an isosceles triangle.
Option B is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Right:
A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).
It can have different side lengths and angles, but it must have one right angle.
Isosceles:
An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.
The third side can have a different length, and the third angle opposite that side will be different from the other two angles.
Scalene:
A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.
All three sides and angles are different.
Obtuse:
An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).
The other two angles will be acute angles, measuring less than 90 degrees.
It can have different side lengths, but it must have one obtuse angle.
So,
The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.
Therefore,
The name of the triangle is an isosceles triangle.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ7
Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?
Answers
Answer:
$4.20
Step-by-step explanation:
0.15 x $28.00=$4.20.
Can you solve Please ASAP!
Answers
Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
[tex]2x^{3x-3}[/tex] = [tex]32^{3x-2}[/tex]
[tex]2^{3x-3}[/tex] = [tex]2^{15x-10}[/tex]
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
The quotient of –125 and 5 is
.
The quotient of –264 and –12 is
.
The quotient of 0 and –350 is
.
The quotient of 276 and –8 is
.
Answers
Answer:
1= -25
2= 22
3= 0
4= -34.5
Answer:
1 negative
2 positive
3 zero
4 negative
Step-by-step explanation:
Hope this helps :D
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5
Answers
Answer:
A
Step-by-step explanation:
Hope this helps!!!!!!!!!!!!!!!!!!:)
Answer:
is it C OR A
Step-by-step explanation:
Pls help...
It is 12 points... Really need it for today
Answers
This is because what you're ultimately trying to do is find the difference in coordinates between the two figures, and that's 5 units to the left and 4 units up which is properly described by those coordinates
can some one plz help me with a queston i posted
Answers
Answer:
ok what is it
Step-by-step explanation:
help awnser attach the awnser using image
Answers
Step-by-step explanation:
Hey there!
The given points are; (-4,-1) and (4,2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{2 + 1}{4 + 4} [/tex]
Simplify it.
[tex]m = \frac{3}{8} [/tex]
Therefore, the slope is 3/8.
Hope it helps...
-5(x) = -4x - 11
please help i don’t understand i need to evaluate the function
Answers
Answer:
x=11
Step-by-step explanation:
-5x=-4x-11
-5x+4x=-11
-x=-11
x=11