Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.
Present age :
Kathy, k = 12 Ben, b = 16Serting up the equation thus :
Let the number of years = x
16 - x = 3(12 - x)
16 - x = 36 - 3x
Collect like terms
-x + 3x = 36 - 16
2x = 20
x = 10
Hence, Ben was 3 tines older than Kathy 10 years ago.
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Find the area of the figure
Answer:
area=18
Step-by-step explanation:
draw a dotted line so it separates the top part from the bottom and then the area of the bottom part is 6x2 which is 12 and then the area of the top is 3x2 which is 6
6+12=18
x − 2y = 14 x + 3y = 9 what is the system of equations?
answer
(12, -1)
hope this helps :)
Answer:
(12,-1)
I got it right on my test
Hank works at an auto repair shop. He has a customer that spent $415 on parts for the repair. Hank
charges $30 an hour in labor costs. If he has quoted the customer that it will be no more than $550, how many hours, h, will the work take
him?
Answer:
Auto repair labor rates vary widely across the country, and even within the same city. As of January 17, 2017, auto repair shops in the AAA Approved Auto Repair network charged between $47 and $215 per hour, based primarily on the shop's cost of doing business.
i need help pls anyone
Answer:
[tex]5\geq m[/tex] - put a closed dot on 5, then an arrow pointing to the left
Step-by-step explanation:
You have to solve the equation. After solving, you should end up with [tex]5\geq m[/tex]
A proportional relationship is shown in the table below:
xxx 000 333 666 999 121212
yyy 000 0.50.50, point, 5 1.01.01, point, 0 1.51.51, point, 5 2.02.02, point, 0
What is the slope of the line that represents this relationship?
\qquad
Graph the line that represents this relationship.
Answer:
1/6
Step-by-step explanation:
1,6
Answer:
1,6
(0,0); (6,1)
Step-by-step explanation:
What is C
Solve for C
Answer:
Step-by-step explanation:
68 degree F to C.
9/5c+32=68
C=20
Answer:
The answer is C=20
because 9/5c+32=68
what is the output value of (4x+2)(x-5)/2 using input value of x=2
(4x+2)(x-5)/2
(4 . 2 + 2)(2 - 5)/2
(8 + 2)(- 3)/2
10/2 . (- 3)
5 . (- 3)
- 15
Answer: - 15
Answer:
-15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(4x + 2)(x - 5) / 2
x = 2
Step 2: Evaluate
Substitute: (4 · 2 + 2)(2 - 5) / 2Parenthesis - Multiply: (8 + 2)(2 - 5) / 2Parenthesis - Add: 10(2 - 5) / 2Parenthesis - Subtract: 10(-3) / 2Multiply: -30 / 2Divide: -15Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4 *
Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4.
__________________________________________________________
Parallel lines are lines with the same slope but different y-intercept.
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.
__________________________________________________________
The given line is y=-2x+4. A line parallel to this would have the same slope, which is -2. To find the y-intercept, plug the point into an equation in point-slope form.
[tex]\displaystyle \text{Point-Slope Form} \rightarrow y-y_{1}=m(x-x_{1})[/tex]
m is the slope, and since the slope is the same as the given line, m will be equal to 2.
The line is supposed to pass through a point, which is written as (x, y). In this line, it is supposed to pass (6, -3). x₁ will be the x value of the point, and y₁ will be the y value of the point. That means x₁ is 6 and y₁ is -3.
Substitute the values into the formula:
[tex]y-y_{1}=m(x-x_{1}) \rightarrow y-(-3)=2(x-6)[/tex]
When subtracting a negative number from a number or variable, the sign will change, and the number will become positive.
[tex]y-(-3)=y+3[/tex]
Here is the new equation:
[tex]y-3=2(x-6)[/tex]
Distribute the 2 to everything in the parentheses. It will be 2 times x and 2 times -6. Remember that a positive number multiplied by a negative number is negative.
Positive(+) times(×) positive(+) = positive(+) Positive(-) times(×) negative(-) = negative(-) Positive(+) divided(÷) by positive(+) = positive(+) Positive(+) divided(÷) by negative(-) = negative(-)[tex]2 \times x=2x\\2 \times -6=-12\\\\2(x-6)=2x-12[/tex]
Rewrite the equation:
[tex]y-3=2x-12[/tex]
Lastly, you need to move -3 to the other side, as slope-intercept form is written as y=mx+b. You can move it by adding three(+3) to both sides, which is simply doing the opposite of it(-3+3=0).
[tex]\displaystyle y-3+3=2x-12+3[/tex]
[tex]y=2x-9[/tex]
The answer to your question is [tex]\bf \displaystyle y=2x-9[/tex].
1. What is the median weight of the Welsh corgis? What does the median tell you about their weights?
Answer:
Male: 22–31 lbs (10–14 kg), Female: 22–29 lbs (10–13 kg)
Step-by-step explanation:
Median tells the average weight. Like, what your corgi might weight.
The median tells us about the center level of all the weights.
What is Median?The median is a statistical measure that represents the central value of a dataset when it is arranged in ascending or descending order. It is the value that separates the higher half of the data from the lower half.
From the given table, we can determine that the median weight of the Welsh corgis is 27.3. The median represents the middle value of a dataset when it is arranged in ascending or descending order.
In this case, it tells us that half of the Welsh corgis in the sample have weights below 27.3, and the other half have weights above 27.3.
So, the median tells us about the center level of all the weights.
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In which number does the digit 7 have a value that is 10 times as great as the digit 7 in the number 0.9750
What tool do I use on this? (picture needed)
Answer:
a screw driver
Step-by-step explanation:
you can use an electric one if you want to.
Answer:
Allen key
Step-by-step explanation:
PLEASE PLEASE HELP I WILL GIVE BRAINALSIT
Answer:
Veggie soup
Step-by-step explanation:
Plz Mark as brainliest!!!
Functions Question (image attached)
Answer:
[tex]x {}^{2} \times + 4x[/tex]
Step-by-step explanation:
[tex]f(x + 4) = (x + 4) {}^{2} - 3(x + 4) - 4 \\ = x {}^{2} + 8x + 16 - 3x - 12 - 4 \\ = x {}^{2} + 4x[/tex]
State the slope and the y-intercept for the graph of the equation. y = x – 3 a. ; 3 b. –; 3 c. ; 3 d. 3;
help now give me like yuuuuh
Answer:
Step-by-step explanation:
D
Write the value of pi correct to
six decimal places.
Please answer quick
Answer:
3.141592
Step-by-step explanation:
I need to find x can some one show me how to do It
Answer:
x=4
Step-by-step explanation:
Because 3x4 = 12, and 12 is the number on the other side of the triangle because the sides are equal.
Hope this helps! :)
Triangles B and C have been built by dilating Triangle A
Pleas im so close to failing class and can't mess up on this project
Wish you a GREAT Thanksgiving :)
I hope this helps !! =)
a) A
b) 3
c) 1/3
d) 2
Answer:
The answer is d
Step-by-step explanation:
Because it can be combined in the equation
-7/9 greater or less than -5/8?? help me quick please!
Answer:
-7/9 is less than -5/8.
Step-by-step explanation:
-5/8 in decimal form is -0.625.
-7/9 in decimal form is -0.777777778.
Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (1, negative 2), and goes through (3, 2). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 3, 2), has a vertex at (negative 1, negative 2), and goes through (1, 2).
Answer:
the last one I think
Step-by-step explanation:
The vertex form of the quadratic equation is:
[tex]g(x) = (x + 1)^2 - 2[/tex]
And the graph can be seen at the end
How to get the vertex form of the quadratic equation?
For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:
[tex]y = a*(x - h)^2 + k[/tex]
Here we have:
[tex]g(x) = x^2 + 2x - 1[/tex]
First, we need to find the vertex. by using the known formula we get:
[tex]h = -2/(2*1) = -1[/tex]
To get the value of k, we need to evaluate g(x) in x = -1.
[tex]g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2[/tex]
So the vertex is (-1, -2), which means that the vertex form is:
[tex]g(x) = (x + 1)^2 - 2[/tex]
And its graph can be seen below.
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You buy a 5-pound bag of sugar. What is its mass in grams?
Answer:
2270 grams
Step-by-step explanation:
Answer:
5 pounds = 2267.96 grams
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
x + x2 - 5x -5 = 0
state the possible rational zeros and find all the zeros of the polynomial
Answer:
The zeros of the polynomial are -1 and 5
Step-by-step explanation:
Quadratic Equation Solving
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]x+x^2-5x-5=0[/tex]
Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:
[tex]x^2-4x-5=0[/tex]
Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:
[tex]d=b^2-4ac[/tex]
[tex]d=(-4)^2-4(1)(-5)=16+20=36[/tex]
Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:
[tex]\displaystyle x=\frac{4\pm \sqrt{36}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{4\pm 6}{2}[/tex]
Dividing by 2:
[tex]x=2\pm 3[/tex]
Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
The actual packing volume in cubic feet, p(s), within a packing crate depends on the length of the side of the base, s, in feet, and of the square-based supports by spanning placed at each corner. This relationship is represented by the table.
If the bases of the supports never have dimensions greater than feet by feet, which statements describe the function represented in the table and the given information? Select two options.
The function is cubic.
D = {R} and R = {R}
R = {15.625 ≤ p(s) ≤ 91.125}
The function has constant second differences.
Answer:
B and D sorry
Step-by-step explanation:
Got it right on my test :)
Answer:
2 and 4
Step-by-step explanation:
Use a model to divide 2
Answer:
2/2 divided by 1/3 becomes 2/2 * 3/1 by using keep change flip. 2/2 * 3 is 6.
The Math Club is renting a banquet room for a party with door prizes. The banquet room costs
$125 to reserve and the door prizes each cost $8.50. Find the possible number of door prizes that
can be purchased if the club decides to use no more than $250 to reserve the banquet room and
the purchase the door prizes.
Answer:
14
Step-by-step explanation:
In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.)
Answer:
There's 15 cows and 35 chickens.
Step-by-step explanation:
Take 20 and multiply it by 2. The answer is 40. Then subtract 40 from 130. The answer will be 90. The cow has double the amount of legs than the chicken, so the cow is equivalent to 2 chicken. Divide 90 by 3. The answer is 30. Then divide 30 by 2 the answer is 15. Add 15 and 20 and the answer is 35 chickens. Divide 30 by 2 and the answer is 15.
You will get 35 chicken and 15 cows as your answer. Happy Election Night, and I hope this helps! ;)
Direction:Determine between what two integers the following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MODULE
Answer:
following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MO
It is given that AD = 4x + 8 and DB = 6x - 3. Solve for x.
Answer:
x=18
Step-by-step explanation:
Match each data relationship with a type of correlation
Answer:
Y tends to increase as x increases: positive correlation
Step-by-step explanation:
Y tends to decrease as x increases: negative correlation.
Y does not change bases on changes in x: No correlation.
I