a = 25
b = 12
Step-by-step explanation:Hi there !
a + b = 37
a = 2b + 1
replace a
(2b + 1) + b = 37
3b = 37 - 1
3b = 36
b = 36 : 3
b = 12
a = 2×12 + 1
a = 24 + 1
a = 25
a + b = 37
25 + 12 = 37
37 = 37 (true)
Good luck !
Is the equation true or false when x = 4? (3−x28)⋅12=3x(3−x28)⋅12=3x true false
Answer:
It’s true
Step-by-step explanation:
What is the End behavior on the right side?
Answer: Choice A) [tex]x \to \infty, \ \ y \to \infty[/tex]
As x gets larger in the positive direction, so does y.
Both x and y are going to infinity.
This is another way of saying "rises to the right".
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Paula leaves home driving 40 miles per hour. One hour
later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula?
Solve this proportion c-1/c+2=4/7
Answer:
c = 5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
[tex]\frac{c-1}{c+2} =\frac{4}{7}[/tex]
Step 2: Solve for c
Cross multiply: [tex]7(c-1)=4(c+2)[/tex]Distribute: [tex]7c-7=4c+8[/tex]Subtract 4c on both sides: [tex]3c-7=8[/tex]Add 7 to both sides: [tex]3c=15[/tex]Divide both sides by 3: [tex]c=5[/tex]Step 3: Check
Plug in c to verify it's a solution.
[tex]\frac{5-1}{5+2} =\frac{4}{7}[/tex]
[tex]\frac{4}{7} =\frac{4}{7}[/tex]
What is the scale factor of AABC to ADEF?
A. 6
B. 1/6
C. 2
D. 1/2
Answer:
1/6
Step-by-step explanation:
Side AB * scale factor = Side DE
72* scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Option B is correct, 1/6 is the scale factor of triangle ABC to triangle DEF
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Dilation is a transformation, which is used to resize the object
The size by which the shape is enlarged or reduced is called as its scale factor.
DEF is dilated graph of ABC
Let us take any side of ABC and its corresponding side to find the scale factor
Side AB × scale factor = Side DE
72×scale factor = 12
Divide each side by 72
scale factor = 12/72
scale factor = 1/6
Hence, 1/6 is the scale factor of triangle ABC to triangle DEF
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ONE EASY FRESHMEN MATH QUESTION!!
The ratio of girls to boys in Mr. Neal's class is 15:19 what percent of the students are girls?
Answer:
15/34
Step-by-step explanation:
add 15+19=34
then make it a fraction
Sam's Furniture Store places the following advertisement in the local newspaper.
Write a system of equations for the three combinations of furniture. Let S represent the cost
of a sofa, let L represent the cost of a love seat, and let C represent the cost of a chair.
$1300
$1400
Soca and love
Sota and two
1300
$1600
Sota love seat
18
= 1400
= 1600
What is the price of each piece of furniture?
A sofa costs $ 166, a love seat costs $ 566 and a chair costs $ 233
Answer:
$500Step-by-step explanation:
GivenSofa = sLove seat = lChair = cSofa and love seat cost = $1300Sofa and 2 chairs cost = $1400Sofa, love seat and one chair cost = $1600To findLove seat = ?SolutionEquations as per given are:
s + l = 1300s + 2c = 1400s + l + c = 1600Subtract equation 1 from equation 3:
s + l + c - s - l = 1600 - 1300c = 300Considering this in the equation 2:
s + 2*300 = 1400s = 1400 - 600s = 800Substituting s in the equation 1:
800 + l = 1300l = 1300 - 800l = 500Answer: Love seat costs $500
Suppose Thomas owns 30 movies. If the ratio of old movies to new movies is 4:1, how many new movies does Thomas have?
Select 1 answer
A- 1 new movie
B- 5 new movies
C- 24 new movies
D- 6 new movies
Please Hurry!
6. (01.01 MC)
Why is 1 + (-5) equal to -4? (1 point)
Because it is 5 units to the right of 1 on a horizontal number line
O
Because it is 5 units to the left of 0 on a horizontal number line
Because it is 5 units to the right of 0 on a horizontal number line
Because it is 5 units to the left of 1 on a horizontal number line
Step-by-step explanation:
Because it is 5 units to the left of 1 on a horizontal number line
Simplify 2x^7 times x^-4
Answer:
The answer is B
2x to the power of 3
Step-by-step explanation:
2x to the power of 7 minus 4 equals
2x to the power of 3
Translate sentence into an equation.
Thirteen is 7 more than one-fifth of a number
Answer:
[tex]13=7+\frac{1}{5}x[/tex]
Step-by-step explanation:
The answer would be 30
D(-3,4) E(7, 6) 1:3
Answer:d
Step-by-step explanation:
Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.
Answer:
02.
Step-by-step Explanation
[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]
Answer: 0.2
Step-by-step explanation:
We have to find [tex]log \frac{3}{2}[/tex].
We are given log 12 and log 8, the farthest.
Subtract to find the number you have to multiply by.
3 x 4 = 12 and 2 x 4 = 8.
Our next fraction will be [tex]log \frac{12}{8}[/tex]
Now, subtract log 12 (1.1) by log 8 (0.9)
1.1 - 0.9 = 0.2
So, the answer to the question is 0.2
-2.5(-2-3x)+2.5(-4x-1)=-2x-4x
Answer:
x=−0.714286
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2.5(−2−3x)+2.5(−4x−1)=−2x−4x
(−2.5)(−2)+(−2.5)(−3x)+(2.5)(−4x)+(2.5)(−1)=−2x+−4x(Distribute)
(7.5x+−10x)+(5+−2.5)=(−2x+−4x)(Combine Like Terms)
Step 2: Add 6x to both sides.
Step 3: Subtract 2.5 from both sides.
Step 4: Divide both sides by 3.5.
x=−0.714286
Solve x^2 - 16x = -12 by completing the steps.
First, subtract ____ from each side of the equation.
Answer:
You would subtract -12 from both sides!
Explanation:
The eqaution will become like this:
[tex]x^{2}[/tex] - 16x + 12 = 0
Then you would solve it with the Quadratic Equation formula.
Answer:
First, subtract 60 from each side of the equation.
Next, add 64 to each side of the equation to complete the square.
Now, write x² - 16x + 64 = -8 as (x-8)^2=-8
Take the square root of both sides to get the solutions.
8+-2=[tex]\sqrt{2i}[/tex]
Step-by-step explanation:
Help me please.......
Answer:
90 . this can be easily answered as all the angle of points are given in question
Step-by-step explanation:
90 degree angle
If you are given a graph, an equation, and a table; each representing a different linear function how would you determine which one has the greatest rate of change
Answer:
you would simply calculate the slope for each, a graph it is easy because you simply get two points on the graph and solve for it (y2-y1/x2-x1), an equation if it is in slope intercept form, the coefficient of x is the slope, from a table you use a similar method to a graph except you grab two values/instances, let's say in a table the numbers are presented like this:
3 4
2 6
You would then simply do the same thing for solving for the slope (y2-y1/x2-x1). In this instance it would be 6-2/4-3=4/1
All of these would give you the rate of change as the slope is the rate of change.
Step-by-step explanation:
help please ill give u brainiest if it's correct
Answer:
Supplementary
Step-by-step explanation:
What is 10 times greater than 2000
Answer:
20,000
Step-by-step explanation:
Let's take it step-by-step
10 times greater than 2,000
10 x 2 = 20, 10 x 20 = 200, 10 x 200 = 2,000, 10 x 2,000 = 20,000
just remember to add a zero after each number so, if you have 10 x 20, just take the 2 and but a zero, 20, 10 x 20 = 200, Etc.
If you need more help let me know :)
Ten times greater than 2000 is 2000.
How to find out how many times greater or less given quantities are relative to each other ?To find how much greater one quantity is to other just divide other quantity by one quantity.If how many times is given and have to find greater just multiply the given quantity by the given times.
In the given question 10 times greater than 2000 is 2000 multiplied by 10 = 20000
To reverse check divide 20000 by 2000 and the result should match the previous result you have obtained.
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Are these expressions equivalent? Explain why or why not 42+35 7(6+5)
Answer:
yes, they are equivalent
Step-by-step explanation:
solving each expression fully, you will find that both are equal to 77
Answer:
They are equivalent.
Step-by-step explanation:
7⋅11⋅13+13and7⋅6⋅5⋅4⋅3⋅2⋅1+5 are composite numbers.
Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the year?
Answer:
$1,700
Step-by-step explanation:
Multiply the rate that money is being taken out at by the amount taken out at
12 x 150
a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold
Solve v +8 < 3 or -80 <-40.
Solve for x.
X^2 – 2x +1=0
x=
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line y = –x?
(–1, –3)
(3, –1)
(1, 3)
(–3, 1)
Answer:
B. (3, -1)
Step-by-step explanation: I got a 100 on the test
The rule for a reflection across line y = -x: (x, y) → (-y, -x)
F(1, -3) → F'(3, -1)
The answer would be option B (3, –1).
What is Parallelogram?A parallelogram defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.
Coordinates of the vertices of a parallelogram are,
E(-3, -5), F(1, -3), H(2, -5), G(-2, -3)
Equation of a line about which this parallelogram was reflected is, y = -x
The rule for a reflection across line y = -x: (x, y) → (-y, -x)
That means when a point (x, y) is reflected across the line y = x, we find a new point (-y, -x)
By this rule new point by reflecting point F will be,
F(1, -3) → F'(3, -1)
Therefore, Option (B) will be the answer.
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find the slope of the line through each pair of points
(-3,9), (0,3)
Answer:
-2
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-9)/(0- -3)
= (3-9)/(0+3)
= -6/3
= -2
Help me ASAP plz !????
Answer:
a. 50
Step-by-step explanation:
130 and angle 6 have to add up to 180 which means you subtract 130 from 180 which gives you 50
SOMEBODY HELP!
MY MATH IS DUE TOMORROW HELP ME AND PLEASE EXPLAIN YOUR WORK
Label each of the parts: terms, like terms, coefficients, and constant
terms.
9 + 7y - 2 - 5y
Answer:
= 7 + 2y.
Step-by-step explanation:
Collect like terms.
(9 − 2 ) + (7y − 5y )
Simplify.
= 7 + 2y.
Hope this helps.
Have a good night ma'am/sir.
Be safe!
Can someone help me please!!!!!
Answer:-4
Step-by-step explanation:
Answer:
forgive me if I'm wrong, but I believe that a is -2.25. someone, please comment if I'm incorrect.
Step-by-step explanation:
I subtracted 3.25a from both sides and got
0.75a+5=2
then I subtracted both sides from 5 and got
0.75a=-3
divided both sides by 0.75
and I got a= -2.25