Answer:
We want to write and solve an inequality to determine the number of people who can go to the amusement park.
The solution is p ≤ 11
The friends have a maximum of $225 to spend.
The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220
Each ticket costs $20, so the cost for p people is:
p*$20
And this must be equal to or smaller than $220, then we get the inequality:
p*$20 ≤ $220
To solve it for p, we need to divide both sides by $20, we will get:
p*$20/$20 ≤ $220/$20
p ≤ 11
This inequality gives the number of people that can go to the amusement park.
Step-by-step explanation:
Hope this helps you!!!!!!!!!!! :D
A jewelry salesperson earns 6 3/7% commission on all sales. Today sold $4570 in jewelry. What is total commission earned?
[tex]\stackrel{mixed}{6\frac{3}{7}}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\frac{45}{7}\textit{\% of 4570}}{\left( \cfrac{~~\frac{45}{7}~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79[/tex]
5z+2z^3+3z^4 in standard form
Answer:
= 3z4 - 2z2 -5z
Step-by-step explanation:
PLEASEE HELP ME WITH THIS……..
Answer:
KM/KL = HJ/HI
Step-by-step explanation:
Triangle JIH is similar to MLK due to Angle-Angle similarity. So, KM/KL = HJ/HI
HELP IMAGE BELOW I WILL GIVE BRAINLIEST
Answer:
The first one
Step-by-step explanation:
All of the others are true
Formula valid for all polygons: P=_______
Formula valid for the parallelogram: P=_______
Measure: P=(_ + _) x _= _cm
Answer:
all polygon have same formula for perimeter. sum of all sides
Step-by-step explanation:
in parallelogram area is l*b
peri = 2*(l+b)
here
2*(18+6) = 2*24 = 48 cm
The temperature was 78°F at 3 P.M. Each hour for
the next 4 hours, the temperature decreased by 3°F. What was the temperature at 7 P.M.?
Answer:
66 °F
Step-by-step explanation:
At 4 P.M., the temperature had decreased by 3° from the temperature at 3 P.M., so was ...
4 P.M. temp = 78 °F -3° = 75 °F
This was repeated until 7 P.M.
5 P.M. temp = 75 °F -3° = 72 °F
6 P.M. temp = 72 °F -3° = 69 °F
7 P.M. temp = 69 °F -3° = 66 °F
The temperature at 7 P.M. was 66 °F.
__
Of course the repeated subtraction can be simplified using multiplication. The subtraction of 3° four times is equivalent to the subtraction of . . .
(3°)(4) = 12°
That is, the temperature at 7 P.M. is ...
78 °F -3°×4 = 78 °F -12° = 66 °F
The table lists how poverty level income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the poverty level cutoff in 1987 to the nearest dollar.
The poverty level cutoff in 1987 to the nearest dollar was $10787.
How to find a midpoint?The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: [tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex].
For solving this exercise, first you need plot the points in a chart. See the image.
Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).
[tex]\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\[/tex]
[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)[/tex]
[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)[/tex]
The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar was $10787.
Read more about the midpoint segment here:
https://brainly.com/question/11408596
2x+2/x^2+x+3x+3/x^2+x
Answer:
5/x
Step-by-step explanation:
[tex]\frac{2x+2}{x^2+x}+\frac{3x+3}{x^2+x}[/tex]
[tex]\frac{2x+2+3x+3}{x^2+x}[/tex]
[tex]\frac{5x+5}{x^2+x}[/tex]
[tex]\frac{5(x+1)}{x(x+1)}[/tex]
[tex]\frac{5}{x}[/tex]
Answer:
[tex] \frac{2x + 2}{ {x}^{2} + x } + \frac{3x + 3}{ {x}^{2} + x} \\ \\ = \frac{2(x + 1)}{x {}^{2} + x } + \frac{3x + 3}{ {x}^{2} + x } \\ \\ = \frac{2(x + 1)}{x(x + 1)} + \frac{3x + 3}{ {x}^{2} + x} \\ = \frac{2}{x} + \frac{3(x + 1)}{ {x}^{2} + x} \\ \\ = \frac{2}{3} + \frac{3(x + 1)}{ {x}^{2} + x} \\ \\ = \frac{2}{3} + \frac{3(x + 1)}{x (x + 1) } \\ \\ = \frac{2}{x} + \frac{3}{x} \\ \\ = \frac{2 + 3}{x} \\ \\ = \frac{5}{x} [/tex]
# keep learning#
# Bora 7#
someone should help me please
Answer:
it is a
Step-by-step explanation:
I might not know but I guess the answer is D
a large school surveys 100 people by taking random samples of 10 teachers and 90 students. what type of sample is this
Answer:
Stratified Sampling
Step-by-step explanation:
Stratified sampling involves dividing the population into subpopulations that may differ in important ways. It allows you draw more precise conclusions by ensuring that every subgroup is properly represented in the sample.
To use this sampling method, you divide the population into subgroups (called strata) based on the relevant characteristic (e.g. gender, age range, income bracket, job role).
Based on the overall proportions of the population, you calculate how many people should be sampled from each subgroup. Then you use random or systematic sampling to select a sample from each subgroup.
I hope this helped!
Write h(x) = 7 10x x2 in vertex form. Write h in standard form. H(x) = x2 10x 7 Form a perfect square trinomial by adding and subtracting StartFraction b Over 2 EndFraction squared. H(x) = (x2 10x 25) 7 – 25 Write the trinomial as a binomial squared. Write the function in vertex form, if needed. What is h(x) = 7 10x x2 written in vertex form? h(x) = (x – 25)2 – 18 h(x) = (x – 5)2 32 h(x) = (x 5)2 – 18 h(x) = (x 25)2 32.
You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.
The correct vertex form of the given equation is given by
Option C: [tex]h(x) = (x-5)^2 - 18[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y = a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This point is called the vertex of the parabola that quadratic equation represents.
How to convert the given equation to vertex form?We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
The given equation is [tex]h(x) = 7 + 10x + x^2\\[/tex]
Converting it in vertex form, we get:
[tex]h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)[/tex]
Thus, we have h = -5 and k = -18
The plot of the given equation is attached below.
Thus,
The correct vertex form of the given equation is given by
Option C: [tex]h(x) = (x-5)^2 - 18[/tex]
Learn more about vertex form of quadratic equations here:
https://brainly.com/question/9912128
Answer:
c
Step-by-step explanation:
PLEASE ILL GIVE YOU BRAINLIEST!
Solve `x^{2}-36=0`
Which solution method would be most efficient?
-Factoring
-Taking the square root
-Quadratic Formula
Show your work!
Answer:
Taking the square root
Step-by-step explanation:
[tex]x^2-36=0[/tex]
[tex]x^2=36[/tex]
[tex]x=\pm6[/tex]
Alternatively, you can use a difference of squares to factor and solve:
[tex]x^2-36=0\\(x+6)(x-6)=0\\x=-6,x=6[/tex]
if 3 inches on a map covers 225 miles what is the scale of inches to miles
3 inches = 225 miles
1 inch = 225/3 miles
1 inch = 75 miles
If a car's average gas mileage is 34 miles per gallon of gasoline and it travels 153 miles, how many gallons of gasoline has it used? Do not round your answer. The car has used ___gallons of gasoline.
PLEASE HELP THIS IS URGENT!!!!
WORTH 10 POINTS
Answer: 4.5 gallons
Step-by-step explanation:
Gallons of gas = # of miles / miles per gallon. Therefore:
153 miles/34 miles per gallon = 4.5 gallons
Answer:
4.5 gallons
Step-by-step explanation:
The car travelled 153 miles and gets 34 miles per gallon. So for every 34 miles it uses one gallon. 153 miles ÷ 34 miles per gallon = 4.5 gallons.
A zoo records the weight of a newborn elephant as 200 pounds….
NEED HELP ASAP!!!!
John left some delicious food in the corner of the classroom on Tuesday. On Wednesday, there were 15 ants eating the food. On Thursday there were 19 ants eating the food. Assuming the increase in ants is arithmetic, how many ants will be eating the food on Sunday of that same week?
Answer:
31
Step-by-step explanation:
Add 4 for every day there after. 15+4=19; 19 +4=23 and so on.
It costs 95$ for 20 students to visit an aquarium. How much does it cost for 162 students?
Answer:
769.50
Step-by-step explanation:
First find how much is one student
95/20=4.75
Then, 162 x 4.75=769.50
if we do 95/20 we get 4.25 that would be the cost for each student and all we have to do is multiply 162 by 4.25 and u get your answer of 688.5
neeeeeeeeeeeeeeeeeeeeeeeeeeed answer
Answer:
B
Step-by-step explanation:
3t+6=9 or -9
1. 3t+6=9
3t=9-6=3
t=3/3-=1
2. 3t+6=-9
3t=-9-6=-15
t=-15/3=-5
t=1, -5
Answer:
B {-5, 1}
Step-by-step explanation:
Separate into possible cases
3t + 6 = 9
3t + 6 = -9
Solve the equations
t = 1
3t + 6 = -9
The equation has 2 solutions
t = -5
t = 1
the pharmacist says 5 g of a powder with 45cm³ of water to make a prescription medicine. How much powder mix with 81cm² of water to make a larger amounts of the same medicine?
Answer:
For 81cm³ of water we need 9g of powder.
Step-by-step explanation:
To have the same medicine in a larger amount, the concentration of the powder must be the same, and this concentration is given by the ratio between the amount of powder and the volume of water it is diluted. This ratio is
[tex]\frac{5}{45} = \frac{1}{9}[/tex]
Since this ratio must be the same for a larger amount, the ratio of our desired amount of powder(let's call it x) by 81cm³ must be equal to this ratio.
[tex]\frac{x}{81} = \frac{1}{9}[/tex]
Solving for x, we have
[tex]\frac{x}{81} = \frac{1}{9} \\\\[/tex]
[tex]\frac{x}{81}[/tex] × [tex]81= \frac{1}{9}[/tex] × [tex]81[/tex]
[tex]x = \frac{81}{9}[/tex]
[tex]x = 9[/tex]
For 81cm³ of water we need 9g of powder.
:) There are 18 animals in the field. Some are horses and some are geese. There are 56 legs in all.
How many of each animal are in the field?
1, 9, 81, 729, ... what is the sequence to this
4. Which of the following is a geometric sequence?
O 3,6,9, 12,...
50,25,0, -25,...
011, 15, 19, 23, ...
4,-16,64, -256,...
HELP PLSS
Answer: Choice D
Explanation:
We can verify this by noticing the ratio between adjacent terms is the same
term2/term1 = -16/4 = -4term3/term2 = 64/(-16) = -4term4/term3 = -256/64 = -4The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.
What is the value of x?
Answer:
x=20
Step-by-step explanation:
The lines on the top and bottom are shown to be parallel and the line in between is a transversal. This means that the same side interior theorem applies. The same side interior theorem states that 2 angles on the same side of a transversal, inside 2 parallel lines will sum 180 degrees.
So, to solve, add the expressions together and set them equal to 180.
First, create the equation80+(4x+20)= 180
Then, combine like terms4x+100=180
Next, subtract 100 from both sides4x=80
Finally, divide both sides by 4x=20
Draw a model to show 12*6 show 6 in each group how many groups are there
Answer:
there would be 12 in each group or you could do 6 groups with 12 in them
Help pls. I will mark brainliest to the correct answer:)
Answer:
-2
Step-by-step explanation:
p = -2.5
r = 0.5
p + r =
-2.5 + 0.5 =
-2
Answer:
-1
Step by step explanation
Can someone please help me with this thanks
Answer:
24 (units)
Step-by-step explanation:
Because Quadrilateral EFGH is being dilated by a scale factor of 3/4, this means that each side of E'F'G'H' gets multiplied by 3/4. In this case, we are going to divide by 3/4 to return to the original figure (or multiply by 4/3 since that is the reciprocal)
This means that side HE is 18/(3/4) = 18(4/3) = 72/3 = 24 units
NEED HELP ASAP WILL GIVE BRAINLIEST
The side of a square is 3cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square if its known that the area of the square is 30cm2 less than the area of the rectangle
Step-by-step explanation:
s = side of square
l = length of rectangle = s + 3 cm
w = width of rectangle = s - 2 cm
s² + 30 = (s + 3)(s - 2) = s² + - 2s + 3s - 6 = s² + s - 6
30 = s - 6
s = 36 cm
Evaluate the expression when
c+5
Answer:
what is the expression
Step-by-step explanation:
Which graph shows a car traveling at 50 miles per hour?
Answer:
I will need a picture. Then I will try to answer.
Step-by-step explanation:
The length of a rectangle is 5 yd longer than its width.
If the perimeter of the rectangle is 42yd, find its area.
Answer:
8+8+13+13= 42yd
Length: 13
Width: 8
Multiplied equals:
104yd²