In the last student-council elections, Jill got x number of votes. Morgan got twice as many votes as Jill. Trisha won the election with 7 more votes than Morgan. If 327 students voted in the election, write and solve an equation to determine how many votes Trisha got.
Answer:
the equation is x + 2x + 2x + 7 = 327
or 5x + 7 = 327
x = 64
Trisha has 135 votes.
Step-by-step explanation:
Jill has x votes.
If Morgan got twice as many votes as Jill, then Morgan has
2 times the number of votes
or 2x
Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount
2x + 7
So assuming Jill, Morgan, and Trisha are the only three candidates:
then x + 2x + 2x + 7 = 327
Combine like terms
5x + 7 = 327
Subtract 7 from both sides
5x = 320
x = 64
Check answer for x:
64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327
So Trisha has
2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes
helppppppp meeeee..........
Answer:
So the answer is zero slope, since the line is parallel to x-axis
Answer:
This slope is a horizontal slope which is also known as the slope of 0 because it has an infinite number of x values but just one y vale (in this case it is -1) .
I hope this helps :)
3x+5=-x-7 what is the x value
Its midpoint please help
Answer:
(-9,-9)
Step-by-step explanation:
B = (-9,-9)
A = (9,-3)
Midpoint M = (0,-6)
Step-by-step explanation:
Here,we have,
(x, y) =M(0,-6)
(x1, y1) =A(9,-3)
(x2, y2) =coordinates of B=?
Using midpoint formula, we get,
x=x1+x2÷2
or, 0=9+x2÷2
or, 0×2=9+x2
or, 0-9=x2
or, x2=-9
therefore, x2=-9
Now,
y=y1+y2÷2
or, -6=-3+y2÷2
or, -6×2=-3+y2
or, -12+3=y2
or, y2=-9
therefore, y2=-9
Hence, the coordinates of B are (-9, -9)..
Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?
Complete the steps to write the equation of direct variation.
Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.
Answer:
1.✔ -4 = k(8)8 = k(-4).
2.✔ -1/2.
3.✔ y = (-1/2)x.
Step-by-step explanation:
This is 100% right
A rectangular sticker has an area of 30 sq cm and it perimeter is 26 cm. what are the dimensions of the sticker?
#small Information
I know the equations but the problem I am not understanding it.. can you give a easier equations or method or more explanation of every equation..
Will give brainliest!!
Thank you :)
Answer:
Dimensions are 3cm and 10cm.
Step-by-step explanation:
We can make two equations for this problem.
ab = 30
2a + 2b = 26
Isolate a in the first equation.
a = 30/b
Plug that into the second equation.
2(30/b) + 2b = 26
2b^2 + 60 = 26b
2b^2 - 26b + 60 = 0
2(b - 3)(b - 10) = 0
b - 3 = 0 and b - 10 = 0
b = 3, 10
Plug these values into the first equation.
a3 = 30
a = 10
a10 = 30
a = 3
Best of Luck!
Which of the following is equivalent to 0.00648?
A. 6.48x10'-2
B. 6.48x10'3
C. 0.648x10'3
D. 6.48x10'-3
Answer:
The choose D. 6.48x10'-3
I hope I helped you^_^
Answer: i think its D.
Step-by-step explanation:
PLz help
The square of a certain negative number is equal to five more than one-half of that number. What is the number?
wrong=reported
ty<3
Answer:
[tex]thank \: you[/tex]
Help me pleaseeeeeeeeeee
Answer:
Part A: 2m/1s
Part B: 7m/6s or 5m/2s (I'm new to this as well)
Part C: 0m/1s
Part B is the fastest because the slope is the steepest and Part C is the slowest because there's no speed happening; it's at rest.
Step-by-step explanation:
………………..please lolz :,)
Answer:
a^2 + b^2 = c^2
a^2 + 24^2 = 25^2
a=7
Step-by-step explanation:
Marc has 10 days to finish all three before exams. He plans to read an equal amount each day. How many pages should he read the first boy ?
Answer:
100 pages
Step-by-step explanation:
total number of pages = 286 + 424 + 290 = 1000
equal amount in 10 days,
number of pages hhe should read in the first day = 1000/10 = 100
can you please answer this question
Answer:
1/40
219/250
69/16
Step-by-step explanation:
1.
0.025=(025)/(1000)=1/40
2.
0.876=876/1000=219/250
3.
4.3125=43125/10000=1725/400=69/16
the area of a circle is 38.5 cmsq. thje circumference of the circle is
Step-by-step explanation:
Solution,
Area=38.5 cm²
by using the formula of are of a circle i.e, πr², we get
πr²= 38.5 cm², where π=22/7
r²=38.5 cm²/π
r²=12.25 cm²
r=√12.25 cm²
r=3.5 cm
Now, by using the formula of circumference of a circle i.e, 2πr, we get
2πr=2×π×3.5 cm, where π=22/7
=22 cm
So, the circumference of the circle is 22 cm.
I hope it helped U
stay safe stay happy
Answer:
The circumference is 21.9899977262 (22 if rounded).
Step-by-step explanation:
First, we need to multiply pi by the area of the circle (3.14 x 38.5). This gives us 120.89. Next, we need to find the square root of 120.89. Which gives us 10.9949988631. Now we need to mulitply 10.9949988631 b which gives us 21.9899977262. Now if you would like you can round the number. This gives us a final answer of 22.
Let me know if you have any questions.
The area and perimeter is needed
Answer:
Perimeter = 30 + 4[tex]\pi[/tex] ≈42.56 cm
Area = 88 - 8[tex]\pi[/tex] ≈ 62.88 cm^2
Step-by-step explanation:
area of rectangle = 11* 8 = 88
Perimeter of rectangle = 38
perimeter of circle = 2[tex]\pi[/tex]4 = 8[tex]\pi \\[/tex]
area of circle = [tex]\pi 4^{2}[/tex] = 16 [tex]\pi[/tex]
Answer:
Step-by-step explanation:
Area of shaded region = Area of rectangle - area of semi circle
Rectangle:
length = 11 cm
Width = diameter of circle = 4 + 4 = 8 cm
Area 1 = length * width
= 11 * 8
= 88 sq. cm
Circle:
radius = r = 4 cm
Area of semicircle = [tex]\dfrac{1}{2}\pi r^{2}\\[/tex]
[tex]=\dfrac{1}{2}*3.14*4*4\\\\= 25.12 \ cm^{2}[/tex]
Circumference of semicircle = [tex]\dfrac{2\pi r}{2}=\pi r[/tex]
= 3.14 * 4
= 12.56 cm
Area of the shaded region = 88 - 25.12 = 62.88 = 63 square cm
Perimeter of shaded region = 11 + 8 + 11 + circumference of semicircle
= 11 + 8 + 11 + 12.56
= 42.56
= 43 cm
graph the inequality v ≤ -4 graph it
Answer:
This simply means that you can move on the line all the way to -∞ from -4
Please view the image to see the graph
Step-by-step explanation:
Find the smallest number that must be added to 7653 to make it a perfect square? Explain.
9514 1404 393
Answer:
91
Step-by-step explanation:
√7653 is about 87.48
The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...
7744 -7653 = 91
Adding 91 to 7653 will make it a perfect square.
To each of the fraction below find 3 fractions with denominators powers of 10 getting closer and closer to it and hence write it to the decimal form of 1/11
Solution:-1
[tex]\\ \sf\longmapsto \dfrac{4}{7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{9}[/tex]
Solution:-2
[tex]\\ \sf\longmapsto \dfrac{1}{11}[/tex]
[tex]\\ \sf\longmapsto 0.09[/tex]
PLEASE HELP…
!!!!!!!
Answer:
LM=11
Step-by-step explanation:
LN= ML+MN
4x+9=(2x+7)+(3x)
4x+9=5x+7
5x-4x= 9-7
x=2
LM=2x+7 =2(2)+7=4+7=11
Use the formula for the volume of a sphere.
Answer:
113.1 cm³
Step-by-step explanation:
we even have the formula. we only need a calculator to simply type this in.
the only "trap" here : we were given the diameter, and for the radius we need to cut that in half.
so,
r = 3
V = 4/3 × pi × r³ = 4/3 × pi × 3³ = 4/3 × pi × 27 =
= 4 × pi × 9 = 113.1 cm³
I need help with this problem please explain it good cause I'm rlly confused on how to do like I know how to solve the actual equations like ik how to get -7 and 12 but I don't know how to answer it if that makes sense
Answer:
The correct choice is option B. -7 ≤ x < 12
Step-by-step explanation:
If profit means to increase then what means to decrease.
Answer:loss
Step-by-step explanation: I mean for example you are profiting money and you just had a loss of money
Which graph represents the function y - 3 = 3 (x – 4)?
414
4
y
2
2
2
2
X
X
2
4
2.
4-2
-2
24
2.
-2
O
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina ba de for
Step-by-step explanation:
The function is an illustration of a linear graph
The graph of the function has a slope of 3, and a y-intercept of -9
How to determine the equationThe equation is given as:
[tex]y - 3 = 3(x - 4)[/tex]
Open the bracket
[tex]y - 3 = 3x - 12[/tex]
Add 3 to both sides of the equation
[tex]y = 3x - 12+3[/tex]
Evaluate the like terms
[tex]y = 3x -9[/tex]
The above means that:
The graph of the function has a slope of 3, and a y-intercept of -9
Read more about linear equations at:
https://brainly.com/question/14323743
Find the equation of the line passing through the points with the given coordinates. Make sure your final answer
is in slope-intercept form.
(0,-4), (2,3)
Answer:
y = 7/2x - 4
Step-by-step explanation:
7/2 is the slope and -4 is the y intercept
What fractional part of the bar is red?
Group of answer choices
1/6
2/6 or 1/3
3/6 or 1/2
4/6 or 2/3
Find the number if:
5/9 of it is 90.
And another similar question;
Find the number if:
7/3 of it is 5 5/6
I need help with both of these questions.
Answer:
162 and [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
To find the original number multiply by the reciprocal of the multiplier, that is
90 × [tex]\frac{9}{5}[/tex] = [tex]\frac{810}{5}[/tex] = 162
------------------------------------------------------------------------
Similarly
Change the mixed number into an improper fraction
5 [tex]\frac{5}{6}[/tex] = [tex]\frac{35}{6}[/tex] , then
[tex]\frac{35}{6}[/tex] × [tex]\frac{3}{7}[/tex] ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{1}[/tex]
= [tex]\frac{5}{2}[/tex]
Answer:
162
Step-by-step explanation:
If it is 5/9 of the original number is 90 we can just divide 90 by 5 to find 1/9 and then we can multiply that with 9 to get 9/9 which is the whole number.
90 ÷ 5 = 18
18 × 9 = 162
en un colegio hay 250 varones el 60 % son mujeres ¿cuantos estudiantes hay en total ?
me ayudan por favor
Answer: 625 estudiantes
Step-by-step explanation:
100%-60%=40% varones
40/100 = 250/x
(250*100)/40 = 625 estudiantes
factorization please help
Answer:
(p - 3q)/ 5p
Step-by-step explanation:
p^2 - 7pq + 12 q^2
= (p - 3q)(p - 4q)
and
5p^2 - 20 pq = 5p(p - 4q)
The p - 4q is common to both expressions so the answer is
(p - 3q)/ 5p.
Answer:
[tex]\frac{p-3q}{5p}[/tex]
Step-by-step explanation:
Given
[tex]\frac{p^2-7pq+12q^2}{5p^2-20pq}[/tex] ← factorise numerator and denominator
= [tex]\frac{(p-4q)(p-3q)}{5p(p-4q)}[/tex] ← cancel (p - 4q) on numerator/ denominator
= [tex]\frac{p-3q}{5p}[/tex]
The Dallas Cowboys starting at the 20 yard line, ran two plays. The first play gained 10 yards, and after the second play the ball was placed at the 50 yard line. How many yards they gain on the second play?
=========================================================
Explanation:
They start on the 20 yard line. After the first play, they gain 10 yards and move to the 20+10 = 30 yard line.
After the second play, they must have gained 20 yards because 30+20 = 50.
Or you can think of it like 50-30 = 20, which shows the distance from the 30 yard line to the 50 yard line is 20 yards.
All of this assumes that the Cowboys started on their side of the field.
9. Samantha had $30 to spend on five pens. After buying them he had $4.75. How much did each pen cost? WILL GIVE BRAINLIEST AND MEED WORK DONE
Answer:
$5.05
Step-by-step explanation:
$30-4.75=25.25 (cost of total pens)
25.25÷5=$5.05 (there are 5 pens so divide by 5)
Ryan and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate cookie dough. Ryan sold 6 packages of white chocolate chip cookie dough and 12 packages of double chocolate cookie dough for a total of $204. Cody sold 7 packages of white chocolate chip cookie dough and 7 packages of double chocolate cookie dough for a total of $147. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?
9514 1404 393
Answer:
white: $8double: $13Step-by-step explanation:
Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.
6w +12d = 204 . . . . . . Ryan's sale
7w +7d = 147 . . . . . . . . Cody's sale
We can divide out the common factor to put these equations into standard form:
w +2d = 34
w +d = 21
Subtracting the second of these equations from the first, we get ...
(w +2d) -(w +d) = (34) -(21)
d = 13
Using the second equation, we can find w:
w = 21 -d = 21 -13 = 8
The costs of the chocolate chip cookie dough packages are ...
white: $8
double: $13