Answer:
B: X less than or equal to 12
x≤12
Step-by-step explanation:
Corey owns a 50acre vineyard
Corey wants rainfall amounts to be at most 12 inches per year
Let rainfall=x
Corey wants amount of rainfall (x) to be at most 12 inches per year
x is at most 12 inches per year
In inequality, the appropriate symbol representing “at most” is the “less than or equal to”
(≤) symbol
So, substituting the symbol
We have,
x≤12
B: X less than or equal to 12
He Brought 10 packages of AA and AAA batteries for a total of 72 batteries.
The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
Please answer in full! Thank you
Answer:
4 packages of AA batteries
6 packages of AAA batteries.
Step-by-step explanation:
Let the number of packages of AA batteries bought be x
Let
the number of packages of AAA batteries bought be Y
He Brought 10 packages of AA and AAA
thus,
x+y = 10 equation 1
Given
The AA batteries are sold in packages of 6, it means one packet contains 6 batteries
Thus,
Total number of AA batteries in x packages = 6x
The AAA batteries are sold in packages of 8, it means one packet contains 8 batteries
Thus,
Total number of AAA batteries in y packages = 8y
Given total no. of batteries is 72
thus
6x + 8y = 72 equation 2
x+y = 10
y = 10-x ---using this in equation 2
6x + 8(10 - x) = 72
=> 6x + 80 - 8x = 72
=> -2x = 72-80 = -8
=> x = -8/-2 = 4
y = 10 -x = 10 -4 = 6
y = 6
Thus,
he bought 4 packages of AA batteries
6 packages of AAA batteries.
A rectangular piece of paper has an area of 24 square inches. You trim the paper so that it fits into a square frame by trimming 3 inches from the length and 1 inch from the width of the paper. Write and solve an equation to find the side length of the resulting square paper.
Answer:
Length of the square = 3 inches
Equation: [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Step-by-step explanation:
Given
Area of the rectangle = 24
Required
Length of the square when the dimension of the rectangle is trimmed by 3 inches * 1 inches
Represent the dimension on the rectangle by L and W
Such that L represent Length and W, Width
This implies that
[tex]L * W = 24[/tex]
Represent the length of the rectangle by l
Such that
[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex] (When trimmed)
Equate both expressions
[tex]L - 3 = W - 1[/tex]
Add 3 to both sides
[tex]L - 3 + 3 = W - 1 + 3[/tex]
[tex]L = W + 2[/tex]
Next is to list all possible dimensions of the rectangle;
[tex]Area(L,W) = Length * Width[/tex]
[tex]Area(24,1) = 24 * 1 = 24[/tex]
[tex]Area(12,2) = 12 * 2 = 24[/tex]
[tex]Area(8,3) = 8 * 3 = 24[/tex]
[tex]Area(6,4) = 6 * 4 = 24[/tex]
From the list above, the only calculation that fits our solution is
[tex]Area(6,4) = 6 * 4 = 24[/tex]
Such that
[tex]6 = 4 + 2[/tex]
By direct comparison of [tex]6 = 4 + 2[/tex] to [tex]L = W + 2[/tex];
[tex]L = 6[/tex]
[tex]W = 4[/tex]
Recall that
[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Substitute 6 for L and 4 for W
[tex]l = 6 - 3[/tex] and [tex]l = 4 - 1[/tex]
[tex]l = 3[/tex] in both cases
Hence, the length of the square is 3 inches
And the equation is [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Each day that a Redbox movie is kept past its due date, a $1.50 fee is charged at midnight.
What is the ordered pair it a movie is kept for 5 days?
Let x represents the number of days that a movie is late and y represents the total fee
Answer:
(5, 7.5)
Step-by-step explanation:
Each day the movie is late adds $1.50 for late fees.Then, after 5 days of past due, the total late fee would be: 5 * $1.50 = $7.50
Then the coordinate pair representing this would be: (5, 7.5)
in a set of ten scores arranged in ascending order the 5th score is 3 less than the 6th score, if the 6th score is 14, find the median of the scores
Answer:
I believe the median is 6.5
Step-by-step explanation:
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answer:
(-15,3)
Step-by-step explanation:
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
It takes Peter 4 hours to walk 12 miles.If he continues to walk at the same rate, how long will it take him to walk:
a) 7miles. b)11miles?
Answer:
a]2.3 hrs
b]3.6hrs
Step-by-step explanation:
4hrs = 12 miles
x = 7miles
4 x 7=28/12=2.3
4 x 11=44/12=3.6hrs
Answer:
Below in bold.
Step-by-step explanation:
His rate of walking = 12/4 = 3 miles per hour.
So the times for 7 and 11 miles are
(a) 7/3 = 2 1/3 hours.
(b) 11/3 = 3 2/3 hours.
Plzzzzz Help I really need help
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answer:
(1.5,-3) and (4.5,-3)
Step-by-step explanation:
factorise x^3-3x-2 ASAP
See the answer in attachment
Answer:
(x-2)(x+1)(x+1)
Step-by-step explanation:
x³-3x-2=
(x-2)(x+1)(x+1)
Sorry for the bad Angle, anyways if anyone could help me out that be great, I would do the question myself if I'd know how to do it, have a nice day
Answer:
210 students
Step-by-step explanation:
The total number of students surveyed was
19+14+30+23+14 = 100
The fraction that picked Yosemite is 14/100
Multiply that fraction by the total number of students
1500* 14/100 = 210
Answer:
210 students
Step-by-step explanation:
vote me brainliest plz
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
Find the intercepts and graph the following linear equations: 2y − 6 = 0
The y-intercept is [tex](0,\frac{6}{2})=(0,3)[/tex] and there is no x-intercept since the equality can simplified to the point of obtaining a constant function [tex]y=3[/tex] which does not depend on x.
Hope this helps.
Mrs. Watson wants to buy some dresses for her trip to Houston. There are three boutiques, each offering a different deal.
Table
Lara's Boutique 4 dresses for $64
The Dress Shop 5 dresses for $75
Marge's Dresses 8 dresses for $160
Which boutique has the best deal for dresses?
A. Both Marge's Dresses and Lara Boutique
B. The Dress Shop
C. Lara's Boutique
D. Marge's Dresses
Answer:
B. The Dress Shop.
Step-by-step explanation:
To find the best deal, we want to find the cost for one dress.
Lara's Boutique: $64 for 4 dresses.
x / 1 = 64 / 4
x = 64 / 4
x = $16 per dress.
The Dress Shop: $75 for 5 dresses.
x / 1 = 75 / 5
x = 75 / 5
x = $15 per dress.
Marge's Dresses: $160 for 8 dresses.
x / 1 = 160 / 8
x = 160 / 8
x = $20 per dress.
The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.
Hope this helps!
4 solid cubes were made out of the same material. All four have different side lengths: 6cm, 8cm, 10cm, and 12cm. How to distribute the cubes onto two plates of a scale so the scale is balanced? Answer: A= the cube with side length 6 cm, B= the cube with side length 8 cm, C= the cube with side length 10 cm, D= the cube with side length 12 cm. On one side of the scale : , on the other side of the scale : Which is the odd one out?
Answer:
Step-by-step explanation:
4 solids cubes A, B, C and D have been made with the same material.
Since material is same density of the material (grams per cm³) will be same.
It shows that the weight of the cubes will vary in the ratio of their volumes.
Volume of cube A = 6³ = 216 cm³
Volume of cube B = 8³ = 512 cm³
Volume of cube C = 10³ = 1000 cm³
Volume of cube D = 12³ = 1728 cm³
Therefore, weights of these cubes will be in the same proportion.
Since, Volume of D = Volume of (A + B + C)
1728 = (216 + 512 + 1000)
1728 = 1728
Therefore, weights of A, B, C, D will be arranged in the same way to balance the plates of a scale.
On one side of the scale cubes A, B, and C should be placed and on the the other side of the scale cube D should be placed to balance the scale.
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2ab-6a+5b+__
Answer:
37
Step-by-step explanation:
Please help ASAP. Determine an equation of a quadratic function with the characteristics of its graph. Coordinates of the vertex: V(5,4) ; y intercept 79
Answer: y = 3(x - 5)² + 4
Step-by-step explanation:
Use the Vertex form: y = a(x - h)² + k to find the a-value
Given: (x, y) =(0, 79) and (h, k) = (5, 4)
79 = a(0 - 5)² + 4
79 = 25a + 4
75 = 25a
3 = a
Input a = 3 and (h, k) = (5, 4) into the Vertex form:
y = 3(x - 5)² + 4
Samin can run 5 kilometers in 30 minutes. Assuming she keeps a constant pace, how many kilometers can she run in 45 minutes? URGENT ANSWERS PLEASE!
Answer:
7.5kilometer
Step-by-step explanation:
for 30mins semin runs 5kilometer
then for 1min: (1min×5kilometer)÷30mins,
therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer
From the given information:
We are being informed that Samin can run for 5 kilometers in 30 minutes;
If Samin can run such a kilometer in 30 minutes;
5 kilometers = 30 minutes
∴
In x kilometers = 45 minutes
By cross multiplying;
(x × 30 minutes) = 5 kilometers × 45 minutes
30x = 225 kilometer/minutes
[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]
[tex]\mathbf{x = 7.5 \ kilometers}[/tex]
Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.
Learn more about word problems here:
https://brainly.com/question/23542499?referrer=searchResults
The scores on an entrance exam to a university are known to have an approximately normal distribution with mean 65% and standard
deviation 7.1%. What is the standardized score for a student who scores 60% on this test?
on 70
Answer:
-0.704 (corrected to 3 significant figures).
Step-by-step explanation:
Standardized score = (actual score - mean) / standard deviation
Standardized score = (60% - 65%) / 7.1%
= -0.704 (corrected to 3 significant figures).
Standardized score = (actual score - mean) / standard deviation
= (60% - 65%) / 7.1%
= -0.704 (corrected to 3 significant figures).
What is supposed by way of ordinary distribution?A regular distribution is an association of facts set in which maximum values cluster in the center of the range and the relaxation taper off symmetrically in the direction of either intense.
What are everyday distributions with examples?Peak, beginning weight, studying potential, activity satisfaction, or SAT scores are only some examples of such variables. due to the fact that commonly distributed variables are so not unusual, many statistical checks are designed for commonly disbursed populations.
Learn more about the normal distribution here: https://brainly.com/question/4079902
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A 90% confidence interval for p, the proportion of all registered voters who favored a mileage increase, was found to be (0.40, 0.70). Does the interval support that a majority of voters favored a mileage increase? Explain. .
A. Yes; 50% is within the bounds of the interval
B. Yes; the lower bound is above 50%
C. No, the lower bound is below 50%
D. No: 50% is not within the bounds of the interval
Answer:
A is the correct answer
Yes, 50% is within the bounds of the interval
Step-by-step explanation:
Here, we want to know if the interval support that a majority of the voters favored the mileage increase.
Our correct selected answer is yes.
To be able to select that out of all the options, we must look at the interval of the proportion of the voters that support the mileage. The proportion is noticeable from the question and we can see that within the given interval, we have 50% of the proportion lying within it.
Since we have 50% lying within our interval, then we can confidently confirm at 90% confidence interval for p that the interval support that a majority of voters favored a mileage increase
please help!!!!!!!!!!!
Answer:
The x value of the point 1/4 the distance from point C to point D is -0.25
Step-by-step explanation:
The given information are;
The location of point C = (1, 2)
The location of point D = (-4, -2)
The point 1/4 from point C to point D is the point 3/4 from point D to point C
Which gives;
The coordinate at point D + 3/4× The difference between the coordinates of point C and point D
Which is (-4 + 3/4×(1 - (-4), - 2 + 3/4×(2 - (-2))
Which gives;
(-4 + 3.75, -2 + 3) and (-0.25, 1)
The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)
Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.
A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons of water in the tank. After 21 minutes, there are 222 gallons. Write an equation to represent the volume of water in the tank y after x minutes. How much water was in the tank to begin?
Answer: y=9x+33
33 gallons of water to begin with.
Step-by-step explanation:
So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.
The slope is:
So, the rate at which the stream flows is 9 gallons per minute.
Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).
So, there were 33 gallons of water in the tank to begin with.
Answer:
There were 33 gallons.
Step-by-step explanation:
Zane bought a pair of jeans that originally cost $56. He used a coupon for 25% off and paid 8% in sales tax. How much did he pay for his jeans?
Answer:
$38.64
Step-by-step explanation:
so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer! Don't forget the dollar sign!
hope this helped! : )
Starting at home, Luis traveled uphill to the gift store for 50minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12mph.
Answer:
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour
Step-by-step explanation:
Use multiplication to solve the proportion
w/4 = 42/24
Answer: w=5
Step-by-step explanation:
What is the area of the polygon below?
Answer:
[tex]24 units^2[/tex]
Step-by-step explanation:
Well we can divide the given polygon into smaller triangles.
The triangle on the upper right corner has a base of 4 units and a height of 3 units.
So we use the following formula,
[tex]\frac{b*h}{2}[/tex]
4*3 = 12
12 / 2 = 6 units^2
Now we can do the bottom triangle.
It has a base of 4 units and a height of 1 unit.
So 4*1 = 4
4 / 2 = 2 units^2
Now for the top left triangle.
It has a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
Now all we have is the middle part.
Its a triangle with a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
6 + 2 + 4 + 4 = 16 units^2
Thus,
after adding everything up the total area of the polygon is 16 units^2.
Hope this helps :)
HELP ME PLEASE!!!!! Write and solve an equation based on the relationship between the angles in the diagram below to find the value of a.
Answer:
a = 104
Step-by-step explanation:
The sum of angles around a point is 360°.
a° +126° +a° +26° = 360°
2a +152 = 360 . . . . collect terms, divide by °
2a = 208 . . . . . . . . subtract 152
a = 104 . . . . . . . . . . divide by 2
Helppppp❤️ Please please
Answer:
B and D
Step-by-step explanation:
I think this is the answer
Solve and CHECK the following:
8−(5x−2)=6−2(3x+1)
Answer:
X=6/11
Step-by-step explanation:
8-(5x-2)=6-2(3x+1)
8-5x+2=6-6x-2
10-5x=4-6x
6=11x
x=6/11
Answer:
8-5x-2=6-6x+2
8-2-6-2=5x-6x
-10+8=-x
-2 =-x
x=2 ........×-1
x=2
what is 12 ÷ 1 1/5 ?
Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change to an improper fraction
12 ÷ ( 5*1+1)/5
12 ÷ 6/5
Copy dot flip
12 * 5/6
12/6 * 5
2*5
10
Answer:
10
Step-by-step explanation:
12 ÷ 1 1/5
Change into an improper fraction.
12 ÷ 6/5
Reciprocal and it becomes multiplication.
12 × 5/6
60/6
= 10
how to evaluate cot 3pi/2
Answer:
[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]
Step-by-step explanation:
[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]
The area of a rectangle can be expressed by 2x2 – 7x – 4. If the rectangle has an
area of 45, find the positive value for x.
Answer:
7
Step-by-step explanation:
2x^2 - 7x - 4 = 45
2x^2 - 7x - 49 = 0 : subtract 45 from both sides
Quadratic formula:
x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4
x = (7 ± sqrt(49 - -392)) / 4
x = (7 ± sqrt(441)) / 4
x = (7 ± 21) / 4
x = (7 + 21) / 4 OR x = (7 - 21) / 4
x = 28 / 4 OR x = -14 / 4
x = 7 as it is the only positive answer