Answers
Answer:
4r-5
Explanation:
Maria collected r rocks.
Javier collected twice as many rocks as Maria = 2r
Pablo collected 5 less than Javier = 2r - 5
Therefore, the sum of rocks between Pablo and Javier
[tex]\begin{gathered} =2r+2r-5 \\ =4r-5 \end{gathered}[/tex]For reference:
Related Questions
I need help on 5 im stuck on where the mid point is
Answers
You have the following coordinates for the Theather and for Kaleb home:
Theater (8 , 20)
Kaleb home (18 , 4)
In order to determine what is the possible location midway between them, you proceed as follow:
you sum x-coordinates and y-coordinates of eaxh point, and you divide by 2 the result of such addition:
[tex](\frac{8+18}{2},\frac{20+4}{2})=(\frac{26}{2},\frac{24}{2})=(13,12)[/tex]Hence, the coordinates of a place miday between Theater and Kaleb home is (13 , 12).
You can notice tha the obtained point is near of Dave's Doorknobs
In a sketch of the graph you have:
the lemur population on an island is declining at a rate of 2.3% per year. the population was 3,700 in the year 2008. what is the best prediction of the population in the year 2017? round to the nearest whole number.
Answers
Given:
2008 : 3,700 population
decrease of 2.3% per year.
100% - 2.3% = 97.7%
2017 - 2008 = 9 years
3,700 * (0.977)^9 = 3000.9088
The lemur population in 2017 will be 3000.9088
What is the value of x in the solution to the system of equations -9x + y = 14 4x-8y=24
Answers
the given expression is
-9x + y = 14 ( 1 )
4x - 8y = 24 ( 2 )
to simplify the (2)
4x - 8y = 24
divide by 4
x -2y = 6 ( 3 )
the system of equation, appy substitution method :
Solve the equation ( 3 ) for x
x - 2y = 6
x = 6 + 2y
Substitute the value of x in the equation ( 1 )
-9x + y = 14
-9(6 + 2y) + y = 14
-54 -18y +y = 14
-17y = 14 + 54
-17y = 68
y = -68/17
y = -4
substitute the value of y = ( - 4) in the equation ( 3 )
x - 2y = 6
x -2( -4) = 6
x + 8 = 6
x = 6 - 8
x = ( - 2 )
Answer : x = ( - 2 ) and y = ( - 4 )
I need a bit of help understanding this, please help
Answers
We know that
[tex]\begin{gathered} m\angle DAC=87^{\circ} \\ \text{ And} \\ m\angle ACD=43^{\circ} \end{gathered}[/tex]And we must find the measure of angle B
We can see the lines AB and DC are crossed by a transversal
We can see that blue angles are alternate interior angles, so
[tex]\begin{gathered} m\angle ACD=m\angle ACB \\ \text{ Then,} \\ m\angle CAB=43^{\circ} \end{gathered}[/tex]And knowing that lines AD and BC are parallels we can say that
[tex]\begin{gathered} m\angle DAC=m\angle ACB \\ \text{ Then,} \\ m\angle ACB=87^{\circ} \end{gathered}[/tex]Finally, using that the three interior angles of a triangle always add to 180° we can say that
[tex]\begin{gathered} m\angle ABC+m\angle ACB+m\angle CAB=180^{\circ} \\ \text{ Replacing the values of the angles} \\ m\angle ABC=180^{\circ}-(87^{\circ}+43^{\circ}) \\ m\angle ABC=50^{\circ} \end{gathered}[/tex]ANSWER:
The measure of angle B is 50°
Solve the following quadratic equation for all values of x in simplest form. 6- 2.r? = -2
Answers
EXPLANATION
Given the equation 6 - 2x^2 = -2
Adding -6 to both sides
6 - 6 - 2x^2 = -2 -6
Simplifying:
-2x^2 = -8
Dividing both sides by -2:
x^2 = -8/-2
Simplifying the fraction:
x^2=4
Applying the square root to both sides:
[tex]x_1,x_2=\pm\sqrt[]{4}[/tex]Solving the square root:
[tex]x_1,x_2=\pm2[/tex]The answer is +- 2
Which coupon should Mike use to save the most money on a dishwasher originally priced at $700? Save $200 one purchase of $625 or more or 30% off any item
Answers
Explanation
to solve this we need to find 30 % of the price and compare to $200
so
Step 1
find 30 % of 700
to find this we can use the formula
[tex]x\text{ \% of a number y = y*}\frac{x}{100}[/tex]hence
[tex]30\text{ \% of 700 = 700*}\frac{30}{100}=210[/tex]so, 30 % of 70o is 210
Step 2
finally, compare
[tex]\begin{gathered} coupon\text{ 1 = 200} \\ Coupon\text{ 2= 210} \\ 210>200 \\ so \\ Coupon\text{ 2}>copuon\text{ 1} \end{gathered}[/tex]therefore, Mike should use the 30% off any item coupon
PLEASE HELP!!What is the slope of a line of best fit if its equation is y = 5x - 4?0-40-1O1505
Answers
Step 1
Given;
[tex]y=5x-4[/tex]Required; To find the slope
Step 2
The equation of a line is given as;
[tex]\begin{gathered} y=mx+c \\ m=slope \\ c=y-intercept \end{gathered}[/tex][tex]\begin{gathered} differentiating\text{ the given equation gives} \\ \frac{dy}{dx}=5 \\ comparing\text{ both equations give m=5} \end{gathered}[/tex]Hence the slope of the line is;
[tex]5[/tex]Hello can you help me? I want to know if I did this correctly. A - 624B - 729C - 652D - 843
Answers
Remember that
The area of a triangle is equal to
A=(1/2)(b)(h)
In this problem
b=36 km
h=XU
step 1
Find the length segment XU
In the right triangle XWU
we have
sin(67)=XU/WU -----> by opposite side divided by the hypotenuse
XU=WU*sin(67)
XU=44*sin(67)
XU=40.50 KM
step 2
Find the area
A=(1/2)(36)(40.50)
A=729 Km2option BThe probability of choosing two green balls without replacement is 111, and the probability of choosing one green ball is 13.What is the probability of drawing a second green ball, given that the first ball is green?
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given probabilities
[tex]\begin{gathered} Pr(2\text{ greens\rparen}=\frac{1}{11} \\ Pr(one\text{ green\rparen}=\frac{1}{3} \end{gathered}[/tex]STEP 2: Write the probability formula for probability of second green given first green
[tex]\begin{gathered} Pr(G2|G1)=\frac{Pr(2\text{ greens\rparen}}{Pr(one\text{ green\rparen}} \\ =\frac{1}{\frac{11}{\frac{1}{3}}}=\frac{1}{11}\div\frac{1}{3}=\frac{1}{11}\times\frac{3}{1}=\frac{3}{11} \end{gathered}[/tex]Hence, the answer is 3/11
the function y=30+5x (represents the cost) in dollars of having your dog groomed where x represents buying extra services.graph the function using the 6 values of its domains.
Answers
Given function y = 30 +5x for the dog groomed
where x represent the value of the buying extra service
The equation is the linear equation so the graph will be staright line
For the coordinates of the graph, set any value for x and then solve for the y .
The x and y value are the coordinates:
Let for x = (-3)
y= 30+5(-3)
y=15
So coordinate 1. (-3,15)
Let for x = (-4)
y= 30+5(-4)
y=10
So coordinate 2. (-4,10)
Let for x = (-5)
y= 30+5(-5)
y=5
So coordinate 3. (-5,5)
Let for x = (-6)
y= 30+5(-6)
y=0
So coordinate 4. (-6,0)
Let for x = (-7)
y= 30+5(-7)
y=-5
So coordinate 5. (-7, -5)
Let for x = (-8)
y= 30+5(-8)
y=-10
So coordinate 6. (-8, -10)
Plot the resulting six coordinates on the graph :
Draw the graph of the circle (x + 1)2 + (y + 4)2 = 4
Answers
Given the equation of the circle:
[tex](x+1)^2+(y+4)^2=4[/tex]Let's draw a graph of the circle.
Apply the general equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where:
(h, k) is the center of the circle.
r is the radius of the circle.
Rewrite 4 = 2²
Now, we have the equation:
[tex](x+1)^2+(y+4)^2=2^2[/tex]Thus, we have the following:
Center of the circle: (h, k) ==> (-1, -4)
Radius of the circle = 2.
Since the radius is 2, let's find the four points around the circumference of the circle.
We have:
• Point by the right: (-1 +2, -4) ==> (1, -4)
,• Point by the left: (-1 -2, -4) ==> (-3, -4)
,• Point at the top: (-1, -4 + 2) ==> (-1, -2)
,• Point at the bottom: (-1, -4 - 2) ==> (-1, -6)
Therefore, the graph of the circle will be:
ANSWER:
A scale drawing of a city plaza in which 1 inch (in.) = 1.5 feet (ft.) is shown below. 9 in. 9 in. To the nearest whole number, what is the area of the actual plaza? 0 81 square feet O 81 square inches 0 182 square feet 0 182 square inches
Answers
1 inch ---> 1.5 feet
9 inch ---> x feet
[tex]\begin{gathered} x\times1=1.5\times9 \\ x=13.5 \end{gathered}[/tex]therefore the area of the actual plaza
[tex]13.5\times13.5=182[/tex]answer: 182 square feet
convert 4x + y equals negative 1 from standard form to slope intercept form
Answers
Given data:
The given expression is 4x+y=-1.
The given expression can be written as,
y=-4x-1.
Here, slope is -4, and y-intercept is -1.
Thus, the slope intercept form is y=-4x-1.
#4 DLet ZD be an acute angle such that sin D = 0.19. Use a calculator to approximate the measure of ZD to the nearest tenthof a degree.m/D
Answers
Given that
angle D=?
[tex]Sin(D)=0.19[/tex]Solving for D
[tex]D=ArcSin(0.19)[/tex][tex]D=0.19116[/tex]Round to the nearest tenth
measure angle D = 0.2
Consider the following equation: −10x+3y=11-10x+3y=11 A) Write the above equation in the form y=mx+b.y=mx+b. Enter the values of mm and bb in the appropriate boxes below as integers or reduced fractions (in the form A/B.)
Answers
Given the equation of the line:
[tex]-10x+3y=11[/tex]A) You need to remember the Slope-Intercept Form of the equation of a line:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
Then, in order to write the equation, given in the exercise, in Slope-Intercept Form, you have to solve for the variable "y":
[tex]\begin{gathered} 3y=10x+11 \\ \\ y=\frac{10}{3}x+\frac{11}{3} \end{gathered}[/tex]Notice that in this case:
[tex]\begin{gathered} m=\frac{10}{3} \\ \\ b=\frac{11}{3} \end{gathered}[/tex]B) Given this value of "x":
[tex]x=6[/tex]You need to substitute it into the equation found in Part A, and then evaluate, in order to find the corresponding value of "y":
[tex]\begin{gathered} y=\frac{10}{3}(6)+\frac{11}{3} \\ \\ y=\frac{60}{3}+\frac{11}{3} \\ \\ y=\frac{60+11}{3} \\ \\ y=\frac{71}{3} \end{gathered}[/tex]Hence, the answers are:
A)
[tex]y=\frac{10}{3}x+\frac{11}{3}[/tex]
B)
[tex](6,\frac{71}{3})[/tex]
y ( 0.5 + 8) how can i expand these expressions with a variable
Answers
Given the initial expression
[tex]y(0.5+8)[/tex]
Therefore,
[tex]\begin{gathered} \Rightarrow y(0.5+8)=y\cdot0.5+y\cdot8=0.5y+8y \\ \Rightarrow y(0.5+8)=0.5y+8y \end{gathered}[/tex]The expanded form of y(0.5+8) is 0.5y+8y, without simplifying.
1. Which of the following is not a radical expression that is equivalent to √1087A.√2-√54B.√3-√36C.√5-√21D. √6-√18
Answers
Solution:
Given the expression below
[tex]\sqrt{108}[/tex]To find the equivalence of the given expression, we will multiply the radicals to find the odd one out
[tex]\begin{gathered} \sqrt{2}\times\sqrt{54}=\sqrt{108} \\ \sqrt{3}\times\sqrt{36}=\sqrt{108} \\ \sqrt{5}\times\sqrt{2}=\sqrt{105} \\ \sqrt{6}\times\sqrt{18}=\sqrt{108} \end{gathered}[/tex]From the deductions above,
Hence, the radical expression that is not equivalent to the given expression is
[tex]\sqrt{5}\times\sqrt{21}[/tex]The answer is option C
order the following fractions from least to greatest.2/3, 3/10, 1/2, 3/2, 4/3
Answers
hello
from the least, we have in this order
[tex]\frac{3}{10},\frac{1}{2},\frac{2}{3},\frac{4}{3},\frac{3}{2}[/tex]Hi there. I think my eyes are playing tricks on me. Is this correct?
Answers
Solution:
Given the graphed system of equations:
The solution is the point (x, y) of the intersection of the line plots.
In the above graph, the lines intersect at the point shown below:
The corresponding x and y values of this point thus give the solution.
Hence, the solution of the system is
[tex](x,\text{ y\rparen=\lparen-1, -2\rparen}[/tex]The second option is the correct answer.
If s is directly proportional to v+3 and s = 8 when v=1, find s when v= -2
Answers
We are given that "s" is directly proportional to "v + 3". This means that the following relationship is given:
[tex]m=\frac{s}{v+3}[/tex]Where "m" is the proportionality constant. To determine the value of "m" we use the fact that when s = 8 then v = 1, therefore:
[tex]m=\frac{8}{1+3}[/tex]Solving the addition:
[tex]m=\frac{8}{4}[/tex]Now, we solve the quotient:
[tex]m=2[/tex]Therefore, the value of "m" is 2.
[tex]2=\frac{s}{v+3}[/tex]Now, we substitute the value v = -2:
[tex]2=\frac{s}{-1+3}[/tex]Solving the operation:
[tex]\begin{gathered} 2=\frac{s}{1} \\ \\ 2=s \end{gathered}[/tex]Therefore, the value of "s" is 2.
The odds of winning a raffle are 1:9. The probability of winning a carnival game is 0.15. Does the raffle or the carnival game give you a better chance of winning? Explain. The probability of winning the raffle is %. The probability of winning the carnival game is %. So, the gives you a better chance of winning.
Answers
the probability of winning the raffle is 1/9 which is equal to 0.11 approximately
the probability of winning the carnival game is 0.15
in percentage
probability of winning the raffle is 11/100
which implies 11 success out of 100 attempts
probability of winning the carnival game is 15/100
which implies 15 possiblities out of 100 trials
thus the carnival game gives a better chance because it has more amount successful outcomes compared to the raffle
How do you put this in standard form with the y=mx+b method?
Answers
we have
point (3,5)
m=5/3
step 1
Put in slope intercept form
y=mx+b
substitute the given values
5=(5/3)(3)+b
solve for b
5=5+b
b=0
therefore
y=(5/3)x
step 2
Put in standard form
Ax+By=C
where
A is a postive integer
B and C are integers
so
y=(5/3)x
Multiply by 3 both sides
3y=5x
5x-3y=0 -------> standard formAnswer:
5x- 3y= 0
Step-by-step explanation:
y=mx+b---- (3,5) 5/3=m
x y
Y= 5; M= 5/3; X=3; B=B put it together
5 = 5/3(3) + b
solve for b
5 = 5+b
b = 0
now
y= (5/3)x
step 2
Put in standard form
Ax+By=C
y=(5/3)x
Multiply by 3 both sides
3y=5x
5x- 3y= 0 -------> standard form
Sam wants to visit every wax museum in the United States. Two that are left on his list are inSalem and Wildgrove, which are 7.8 miles apart. This distance is represented by 2 inches onSam's map. What scale does the map use?Write your answer as a decimal or whole number.ho1 inch : miles
Answers
Answer:
1inch : 3.9miles
Explanation:
Given that the distance between the museum which is 7.8miles apart is represented by 2inches, then;
7.8miles = 2inches
To get the scale used;
x = 1 inch
Divide both expressions
[tex]\begin{gathered} \frac{7.8}{x}=\frac{2}{1} \\ \end{gathered}[/tex]Cross multiply
[tex]\begin{gathered} 7.8\times1=2\times x \\ 7.8=2x \\ \text{Swap} \\ 2x=7.8 \end{gathered}[/tex]Divide both sides by 2
[tex]\begin{gathered} \frac{2x}{2}=\frac{7.8}{2} \\ x=3.9 \end{gathered}[/tex]Hence the scale used is 1inch : 3.9miles
The principle is borrow a simple interest rate R for a period of time
Answers
Simple interest = Principal x Rate x Time : 100
Simple interest = 7000 x (0.04) x 1
Simple interest = $280
Answer: $280
Solve the following system of linear equations using elimination. 3r- y=5 x=y=1
Answers
3x - y = 5 Equation l
x - y = 1 Equation ll
By elimination
-Multiply equation l by -1
-3x + y = -5
x - y = 1
-2x = -4
Solve for x
x = -4/-2
x = 2
-Find y
2 - y = 1
-y = 1 - 2
-y = -1
y = -1/-1
y = 1
Solurtion: x = 2, y = 1
the elevator in an office building starts at ground level and goes up at a speed of 6 feet per second for 7.5 second then it goes down at a speed of 10 feet per second for 8 seconds what is the elevators elevation now
Answers
when it is going up
[tex]x=16\cdot7.5=120[/tex]so when it stops, it has a elevation of 120 feet
[tex]x=120-10\cdot8=40[/tex]so the final elevation is 40 feet
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tallplatform. The equation for the object's height s at time t seconds after launch is s(t) =-4.9t^2 +19.6t+ 58.8, where s is in meters.a) When does the object strike the ground?b) What is the initial height of the object?c) What is the maximum height of the object?
Answers
Solution
Step 1
[tex]s(t)\text{ = -4.9t}^2+19.6t+58.8[/tex]a)
The object strike the ground at s(t) = 0
[tex]\begin{gathered} s(t)=\text{-4.9t}^2\text{+19.6t+58.8} \\ \\ -4.9t^2\text{{}+19.6t+58.8 = 0} \end{gathered}[/tex][tex]\begin{gathered} \mathrm{Multiply\:both\:sides\:by\:}10 \\ -4.9t^2\cdot \:10+19.6t\cdot \:10+58.8\cdot \:10=0\cdot \:10 \\ -49t^2+196t+588=0 \\ t_{1,\:2}=\frac{-196\pm \sqrt{196^2-4\left(-49\right)\cdot \:588}}{2\left(-49\right)} \\ t_{1,\:2}=\frac{-196\pm \:392}{2\left(-49\right)} \\ Separate\:the\:solutions \\ t_1=\frac{-196+392}{2\left(-49\right)},\:t_2=\frac{-196-392}{2\left(-49\right)} \\ \mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:} \\ t=-2,\:t=6 \\ t\text{ cannot be negative} \\ t\text{ = 6 seconds} \end{gathered}[/tex]b)
The initial height = 58.8
c)
[tex]\begin{gathered} At\text{ maximum height, }\frac{ds(t)}{dt}=0 \\ \\ s(t)\text{ =}-4.9t^2+19.6t+58.8 \\ \\ \frac{ds(t)}{dt}=\text{ -9.8t + 19.6} \\ \\ -9.8t\text{ + 19.6 = 0} \\ \\ 9.8t\text{ = 19.6 } \\ \\ t\text{ =}\frac{19.6}{9.8}=2\text{ seconds} \\ \\ Maximum\text{ height =}-4.9\times2^2+19.6\times2+58.8 \\ \\ =-2^2\times \:4.9+39.2+58.8 \\ =78.4 \\ Maximum\text{ height = 78.4} \end{gathered}[/tex]Identify the variable and the constant in the expression below.18 +tVariable:Constant
Answers
From the expression 18 + t, the constant is 18 and the variable is t.
Flashdance Furniture Company ordered 25 sofas at a list price of $1,950 each. The company received a 24% trade discount, plus an additional 5% off (after the tradediscount) if the final invoice was over $30,000. What was the wholesale price paid by the company?$30,678.54$35,197.50$37,123.90$38,348.62None of these choices are correct.
Answers
I'll solve this problem using proportions
1950 x 25 = $48750
Original price = $48750
Considering the 5% discount
48750 ------------------- 100
x ------------------- 5
x = (5 x 48750)/100
x = 2437.5
Price = 48750 - 2437.5
= 46312.5
46312.5 ------------------- 100
x ------------------ 24
x = (24 x 46312.5) / 100
x = 1111500/100
x = 11115
Final price = 46312.5 - 11115
= $ 35197.5
The second choice is the correct solution.
Hi, can you help to find (all the roots/zeros), please!!!
Answers
Solution
Given the quadratic equation
[tex]x^2-2x-38=0[/tex]we need to find the zeros of the equation
To do that, we use the completing the square method
Step 1. Add 38 to both sides
[tex]\begin{gathered} \Rightarrow x^2-2x-38+38=38 \\ \\ \Rightarrow x^2-2x=38 \end{gathered}[/tex]Step 2: add the square of half of the coefficient of x to both sides
That is;
[tex]\begin{gathered} \Rightarrow x^2-2x+(\frac{1}{2}\cdot(-2))^2=38+(\frac{1}{2}\cdot(-2))^2 \\ \\ \Rightarrow x^2-2x+1=38+1 \\ \\ \Rightarrow x^2-2x+1=39 \\ \\ \Rightarrow(x-1)^2=39 \end{gathered}[/tex]Step 3: Simplify the above expression;
[tex]\begin{gathered} \Rightarrow x-1=\pm\sqrt[]{39} \\ \\ \Rightarrow x=1\pm\sqrt[]{39} \end{gathered}[/tex]