Answer:
There are 272 students going on the field trip.
Step-by-step explanation:
68 students on each bus. 4 busses. 68 x 4 = 272
Answer:
The answer is 272 students.
Step-by-step explanation:
1. First, I looked at how many students and buses are there.
2. I looked at the question, "How many students are going on the field trip?"
3. Next, I will multiply the number of students on each bus by the number of buses on there.
4. 68
x 4
272
-----------------------------------------------------------------------------------------------------------------
Hope this helped! Your answer is 272 students. ❤️
For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 10 pennies into his bank, how many pennies does Tara put into her bank? Answer options with 4 options
Answer
Tara puts 4 pennies if Sam puts 1 but Sam put 10 pennies in all so you multiply 10 by 4 and that gives you 40
Step-by-step explanation:
Y= 2/3x-5 and y= -2/3x+5 are they perpendicular , parallel or neither?
PPEERRPPEENNDDIICCUULLAARR
Given sin(−θ)=−1/4 and tanθ=√15/15 . What is the value of cosθ ?
Answer:
[tex]\cos\left(\theta\right)=\frac{\sqrt{15}}{4}[/tex]
Step-by-step explanation:
Given that [tex]\sin\left(-\theta\right)=-\frac{1}{4}[/tex] and [tex]\tan\left(\theta\right)=\frac{\sqrt{15}}{15}[/tex]
Using those values we need to find value of [tex]\cos\left(\theta\right)[/tex]
So let's begin with equation of [tex]\tan\left(\theta\right)=\frac{\sqrt{15}}{15}[/tex] and simplify it to get value of [tex]\cos\left(\theta\right)[/tex]
[tex]\tan\left(\theta\right)=\frac{\sqrt{15}}{15}[/tex]
[tex]\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}=\frac{\sqrt{15}}{15}[/tex]
[tex]\sin\left(\theta\right)=\frac{\sqrt{15}}{15}\cos\left(\theta\right)[/tex]
[tex]\sin\left(\theta\right)\cdot\frac{15}{\sqrt{15}}=\cos\left(\theta\right)[/tex]
[tex]\cos\left(\theta\right)=\sin\left(\theta\right)\cdot\frac{15}{\sqrt{15}}[/tex]
[tex]\cos\left(\theta\right)=-\sin\left(-\theta\right)\cdot\frac{15}{\sqrt{15}}[/tex] {since [tex]\sin\left(-\theta\right)=-\sin\left(\theta\right)[/tex] }
[tex]\cos\left(\theta\right)=-\sin\left(-\theta\right)\cdot\sqrt{15}[/tex]
[tex]\cos\left(\theta\right)=-\left(-\frac{1}{4}\right)\cdot\sqrt{15}[/tex]
[tex]\cos\left(\theta\right)=\frac{\sqrt{15}}{4}[/tex]
Answer:
[tex]\cos \theta = \frac{\sqrt{15}}{4}[/tex]
Step-by-step explanation:
The sine function is an odd function, that is:
[tex]\sin (-\theta) = - \sin \theta[/tex]
Then,
[tex]\sin \theta = \frac{1}{4}[/tex]
The cosine function is computed by the following relation:
[tex]\cos \theta = \frac{\sin \theta}{\tan \theta}[/tex]
[tex]\cos \theta = \frac{\frac{1}{4} }{\frac{\sqrt{15}}{15} }[/tex]
[tex]\cos \theta = \frac{\frac{1}{4} }{\frac{1}{\sqrt{15}} }[/tex]
[tex]\cos \theta = \frac{\sqrt{15}}{4}[/tex]
Stefan sells jin a bicycle for $114 and a helmet for $18. The toltal cost for jin is 120% of what stefan spent originally to buy the bike and helmet. How much did stefan spend originally? How much money did he make by selling the bicycle and helmet to jin?
Answer:
Stefan spend originally $110 and the money stefan make by selling the bicycle and helmet to jin is $22 .
Step-by-step explanation:
As given
Stefan sells jin a bicycle for $114 and a helmet for $18.
Total cost of the bicycle and helmet = $114 + $18
= $132
The total cost for jin is 120% of what stefan spent originally to buy the bike and helmet.
120% is written in the decimal form.
[tex]= \frac{120}{100}[/tex]
= 1.20
Let us assume that the Stefan spend originally for bike and helmets be x.
Than the equation becomes
1.20 × x = 132
1.20x = 132
[tex]x = \frac{132}{1.20}[/tex]
x = $110
Therefore stefan spend originally be $110 .
Now find out how much money did he make by selling the bicycle and helmet to jin .
Money make by Stefan = Total selling cost of helmet and bicycle - Total amount of stefan spends for purchasing.
Money make by Stefan = 132 - 110
Money make by Stefan = $22
Therefore the money stefan make by selling the bicycle and helmet to jin is $22 .
Stefan's original expenditure for the bicycle and helmet was $110. He made a profit of $22 by selling these items to Jin.
Explanation:Stefan sold the bicycle and helmet to Jin for a total of $132 ($114 + $18). We know that this amount represents 120% of what Stefan originally spent. To determine Stefan's original expenditure, we'll therefore divide the total amount he earned by 120 and then multiply by 100 (as the cost is 100% for him). So, Stefan's original expenditure would be (132/120)*100 = $110.
Now, to determine Stefan's profit, we subtract his original expenditure from the amount for which he sold the items to Jin. That is, $132 - $110 = $22. So, Stefan made a $22 profit from selling the bicycle and helmet.
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Which graph represents the polynomial function g(x)=x^3+5x^2-12x-36
[tex]g(x)=x^3+5x^2-12x-36\\\\y-intercept\ for\ x=0:\\\\g(0)=0^3+5(0)^2-12(0)-36=-36\\\\\text{First or fourth graph.}\\\\\text{If the answer is 4th graph, then g(-2)=0}\\\\g(-2)=(-2)^3+5(-2)^2-12(-2)-36=-8+5(4)+24-36\\\\=-8+20+24-36=0[/tex]
The polynomial function utilizes only non-negative integers powers or positive integer exponent of the variable in a solution, like the quadratic equation, cubic equation, and so on, further calculation can be defined as follows:
Given:
[tex]\bold{g(x)=x^3+5x^2-12x-36}[/tex]
To find:
Graph the polynomial function=?
Solution:
[tex]\bold{g(x)=x^3+5x^2-12x-36}[/tex]
putting the value "1,2, -1, -2" into the above given function and calculate its value:
[tex]\to \bold{g(1)=1^3+5(1)^2-12(1)-36= 1+5-12-36= -42}\\\\\to \bold{g(-1)=(-1)^3+5(-1)^2-12(-1)-36= -1+5+12-36= 17-37=-20}\\\\\to \bold{g(2)=(2)^3+5(2)^2-12(2)-36= 8+5(4)-24-36= 8+20-24-36=-32}\\\\\to \bold{g(-2)=(-2)^3+5(-2)^2-12(-2)-36= -8+5(4)+24-36= -8+20+24-36=0}\\\\[/tex]Therefore, the answer is "4 choice".
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Jimmy spent 22% of all his money on a video game how much did the video game cost if he had $200 in the start
Multiply the amount of money he had by the percent of the game:
200 x 0.22 = 44
The game cost $44
Monica has a bag of marbles. There are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble. What is the probability of Monica picking a red and then blue marble?
Answer:
[tex]\frac{7}{64}\approx 0.11[/tex]
Step-by-step explanation:
We have been given that there are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble.
Since Monica will replace the first marble before picking the second marble, therefore, probability of both events will be independent and probability of occurring one event will not affect the probability of second event's occurring.
Since the probability of two independent compound events is always the product of probabilities of both events.
[tex]P(\text{A and B})=P(A)*P(B)[/tex]
Now let us find probability of picking a red marble out of 16 (4+7+5) marbles.
[tex]P(Red)=\frac{\text{Total red marbles}}{\text{Total marbles}}[/tex]
[tex]P(Red)=\frac{4}{16}[/tex]
Probability of picking blue ball out of 16 (4+7+5) marbles:
[tex]P(Blue)=\frac{\text{Total blue marbles}}{\text{Total marbles}}[/tex]
[tex]P(Blue)=\frac{7}{16}[/tex]
Now let us find probability of Monica picking a red and then a blue marble.
[tex]P(\text{Red and Blue})=\frac{4}{16}\times \frac{7}{16}[/tex]
[tex]P(\text{Red and Blue})=\frac{1}{4}\times \frac{7}{16}[/tex]
[tex]P(\text{Red and Blue})=\frac{7}{4*16}[/tex]
[tex]P(\text{Red and Blue})=\frac{7}{64}[/tex]
[tex]P(\text{Red and Blue})=0.109375\approx 0.11[/tex]
Therefore, the probability of picking a red and then blue marble is [tex]\frac{7}{64}\approx 0.11[/tex].
please answer asap for brainlist
Either Table L or Table M shows a proportional relationship. Table L
x −1 0 1 2
y −2 0 2 4
Table M
x −1 0 1 2
y −4 0 6 9
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
The equation of the line that passes through the point (-1,5) and has a slope of -7 is y = -7x - 2. This can be determined by substituting the given values into the equation y = mx + b and solving for 'b'.
Explanation:In mathematics, the equation of a line is commonly represented as y = mx + b, where 'm' represents the slope and 'b' is the y-intercept. In this equation, the slope '-7' is the rate at which 'y' changes for a unit change in 'x'. The y-intercept is the 'y' value when 'x' is zero.
It's given that the line passes through the point (-1,5). We can substitute these values into the equation to find 'b':
5 = -7(-1) + b, which simplifies to 5 = 7 + b. Therefore, 'b' equals to -2 after rearranging.
So, the equation of the line that passes through the point (-1,5) and has a slope of -7 is y = -7x - 2.
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Which radical expression represents the perimeter of a triangle if the side lengths of the triangle are given by the expressions 13√80 , 3√125, and √500 ? A) 16 √5 B) 26√5 C) 39√5 D) 77√5
Answer:
D
Step-by-step explanation:
so basically to add up radicals you need to make the number inside the square root the same. what you have to do to do that is find squares inside the number as a factor.
13√80=13*2√20=13*2*2√5=52√5
3√125=3*5√5=15√5
√500=10√5
so all of them have 5 in the square root so you can add them up to equal 77√5
To find the perimeter of a triangle with given radical expressions for side lengths, simplify each expression and add them up. The correct answer is D) 77√5.
Explanation:The perimeter of a triangle is the sum of the lengths of all three sides. So, to find the perimeter of the triangle given the side lengths as radical expressions, we need to simplify and add them up.
The given side lengths are: 13√80 , 3√125, and √500.
Simplify each radical expression:
13√80 = 13 * √(16 * 5) = 13 * (4 * √5) = 52√5
3√125 = 3 * √(25 * 5) = 3 * (5 * √5) = 15√5
√500 = √(100 * 5) = 10√5
Now, add up the simplified radical expressions: 52√5 + 15√5 + 10√5 = (52 + 15 + 10)√5 = 77√5.
Therefore, the correct answer is D) 77√5, which represents the perimeter of the triangle.
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Carly drove cross-country on vaction. Her average speed was 56 miles per hour. How far did she go in 24 hours?
Answer:
1344 miles
Step-by-step explanation:
using the relationship between distance/ speed / time
distance = speed × time, then
distance = 56 × 24 = 1344 miles travelled
To determine the distance traveled, we use the formula 'Distance = Speed x Time'. Based on Carly's average speed of 56 miles per hour for 24 hours, she traveled a total of 1,344 miles.
Explanation:In this problem, we're being asked to calculate how far Carly drove across the country in 24 hours if her average speed was 56 miles per hour. To find the distance she traveled, we can make use of the formula Distance = Speed x Time. So, for this particular situation:
Distance = 56 mph x 24 hours = 1,344 miles
Therefore, Carly drove 1,344 miles in 24 hours with an average speed of 56 miles per hour.
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Calling Joe 45 minutes to the airport he arrived 90 minutes before his flight departed and then he spent 17 minutes in the air once he landed Collins been 20 minutes Gathering his luggage and then he drove 35 minutes is Hotel what must be the true of any expression that represents the total time that Colin Spence traveling from his house to the hotel
PLEASE HELP ASAP WILL MARK BRAINLYIST
SEE PICTURES
Answer:
Problem One: D
Problem Two: B
Step-by-step explanation:
Problem One
A and B are both wrong for the same reason. The graph for both of them will increase. Any time you raise a base greater than 1 to a power, the graph goes up. See below. The red graph is y = 12*1.1^2
The question is giving you a big hint by showing you which point to look at. When x = 1, y = 8. What will do that?
Is it 12 * 1/2 or is it 12 * 2/3
I think you will find it is 12*2/3 So the answer is D
Part B
This one is just the opposite, only now you have to figure out which graph you are getting. A is the only one that is obviously wrong. When x = 1, A will give
40* 1.5 which is 60 which is not enough.
C is too large. 40 * 3.25 = 130 so that does not describe the graph when x = 1.
So B and D are your only choices. D is still a little too big. See if you can get D to be 100 when D = 1
That leaves you with b
y = 40 * 2.25 = 90 which is just what you want.
What is the equation of a line with a slope of -4 and a point (-2,5) on the line? Express the equation in the form of y=my+b where m is the slope and b is the y-intercept. Enter your answer in the box.
Answer:
y=-4x-3
Step-by-step explanation:
Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 88 wings for \$7$7. Buffalo Mild Wings has 1212 wings for \$10$10. Wingers has 2020 wings for \$17$17. Which restaurant offers the lowest price per wing?
Answer:
Buffalo mild wings offers the lowest price per wing ($0.83).
Step-by-step explanation:
Let us find unit price per buffalo wing of each restaurant.
[tex]\text{Unit rate for buffalo bills}=\frac{\$7}{8\text{ wings}}[/tex]
[tex]\text{Unit rate for buffalo bills}=\frac{\$0.875}{\text{ wing}}[/tex]
Upon rounding our answer to nearest cent we will get,
[tex]\text{Unit rate for buffalo bills}=\frac{\$0.88}{\text{ wing}}[/tex]
Therefore, buffalo bills offers each wing for $0.88.
[tex]\text{Unit rate for buffalo mild wings}=\frac{\$10}{12\text{ wings}}[/tex]
[tex]\text{Unit rate for buffalo mild wings}=\frac{\$0.83333}{\text{ wing}}[/tex]
Upon rounding our answer to nearest cent we will get,
[tex]\text{Unit rate for buffalo mild wings}=\frac{\$0.83}{\text{ wing}}[/tex]
Therefore, buffalo mild wings offers each wing for $0.83.
[tex]\text{Unit rate for wingers}=\frac{\$17}{20\text{ wings}}[/tex]
[tex]\text{Unit rate for wingers}=\frac{\$0.85}{\text{ wing}}[/tex]
Therefore, wingers offers each wing for $0.85.
We can see that buffalo mild wings offers the lowest price per wing that is $0.83 per wing.
List the 6 congruency statements given ABC = DEF
Answer:
∠A ≅ ∠D, ∠B ≅ ∠E, ∠c ≅ ∠F, AB = DE, BC = EF, AC = DF
Step-by-step explanation:
Given that triangles ABC and DEF are congruent. Now we need to choose correct congruency statements from the given choices.
We know that corresponding angles of congruent triangles are equal so we can write:
∠A ≅ ∠D
∠B ≅ ∠E
∠c ≅ ∠F
We know that corresponding sides of congruent triangles are equal so we can write:
AB = DE
BC = EF
AC = DF
comparing these with given choices we see that, First choice is correct.
help picture down here
Answer:
it would be 8 hours
Answer:
I got 7.2 hours
Step-by-step explanation:
make a proportion such as 5/12=3/x and cross multiply then solve the rest
The order of several matrices are given. A = 3x2 B = 3x5 C = 2x3 D = 5x7 E = 3x5 Which can be multiplied?
Answer:
A/C and B/D and C/E
Step-by-step explanation:
given the order of 2 matrices
(m × n)(p × q)
For the matrices to be conformable for multiplication
The number of columns in the first must equal the number of rows in the second
That is n = p and the resulting product has order m × q
From the order of matrices given
A and C, B and D, C and E can be multiplied
The matrices that can be multiplied are A*C, C*A, B*D, and E*D, as the number of columns in the first matrix equals the number of rows in the second.
Explanation:In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Therefore, given the order of the matrices A = 3x2, B = 3x5, C = 2x3, D = 5x7, and E = 3x5, the possible matrix multiplications are: A*C, C*A, B*D, and E*D. For instance, you can multiply A (which is 3x2) with C (which is 2x3) because the number of columns in matrix A is equal to the number of rows in matrix C.
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I have music you cannot hear, a flame that doesn't burn, I am over 40 years old with no specific birth date. Who am I?
Answer: statue of liberty
Step-by-step explanation:
Answer:
when it says music its kinda a metaphor to peace when it says a flame that does burn it means the torch shes holding. She is over 40 years old shes 143 years old and she doesn't have any birth date she is the statue of liberty
Help please!!
For the following graph, what type of discontinuity occurs at x = 6 and what step of continuity is broken?
A) infinite and f(6) does not exist.
B) removable and f(6) does not exist.
C) jump and limx→6− f(x) ≠ limx→6+ f(x).
D) infinite and limx→6− f(x) ≠ limx→6+ f(x).
Answer:
A) Infinite and f(6) does not exist
Step-by-step explanation:
The three types of discontinuities are:
1. Removable or Hole: When the left hand limit is same as right hand limit but they are not equal to the value of function at x = 6.
Graphically if there exist a hole at the point x = 6, removable discontinuity occurs. But, it is not the case in the given graph.
2. Jump: When the left hand limit is not same as right hand limit.
But graphically, we see that both left and right limit at x=6 are tending to infinity i.e. both limits are same.
3. Infinite: It occurs when there exists vertical or horizontal asymptotes between the function and both limits tend to infinity.
Graphically, we see that the function has infinite discontinuity as there exist vertical asymptote and the value of function does not exist at x = 6.
what is 14.5% of 8600 meters?
Answer: 1.247 kilometers
Step-by-step explanation: multiply 8600 by 0.145 so 8600 times 0.145=1247
what is equation of the perpendicular bisector of the line segment between ( -3,4)and(5,6)
Answer:
Hey There so i saw your question. Solving it is very easy so i'm gonna help you step by step.
Step-by-step explanation:
(-3,4) (5,6) the slope formula y2-y1 over x2-x1
so its 6-4/5-(-3) which you gonna get 2/8 which is 1/4 so thats your slope.
*just know that your slope will flip since it's perpendicular and not parallel
so now you gonna find "b" on the equation Y=mx=b so out of your 2 points, choose one. I choose (5,6) all you gotta do is plug it into y=mx+b
so it's gonna be 6= 4 (the flipped slope)*5+b {1.4*5 = 1.25}
so you gonna take 6 - 20 = -14 whcih is your b
so your new equation + the answer is Y= 4x-14
The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel is 7740º. What is the maximum number of people that the Ferris wheel can hold?
225
300
250
200
Answer:
225
Step-by-step explanation:
The sum total of all the angles is 7,740 degrees,
The formula for the interior angle is 180(n - 2) where n is the number of sides in the polygon
Set this equal to 7740
180 (n-2) = 7740
Divide each side by 180
180/180 (n-2) = 7740/180
n-2 =43
Add 2 to each side
n-2+2 = 43+2
n = 45
Each vertex hold 5 people so take n and multiply by 5
45*5 = 225
The Ferris wheel holds 225 people
Jared has a bag that contains 8 blue marbles, 6 red marbles, and 10 green marbles. He selects a marble, replaces it in the bag, and then selects another marble. What is the probability that both marbles are green?
Answer:
The probability is 17.36%
Step-by-step explanation:
In order to find this, we first need to find the probability of pulling one green marble. You can do this by dividing the number of marbles by the amount of marbles in the bag.
10/24 = 41.67%
Now in order to find the likelihood of doing this twice, you multiply that number by itself.
41.67% *41.67% = 17.36%
A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much as $60 and want to buy at least two pairs of pants.
The question deals with budgeting $60 to buy as many pants and shirts as possible, with at least two pairs of pants to be bought. After purchasing two pairs of pants, the remaining budget can be divided by the price of the remaining item to get the possible quantity.
Explanation:The subject of this question is
Mathematics
, specifically budgeting and maximizing purchases under a fixed budget. You have $60 to spend and each pair of pants costs $8.99, while shirts cost $3.99. If you want to buy at least two pairs of pants, your initial expense will be $8.99 x 2 = $17.98. After buying two pairs of pants, you will have $60 - $17.98 = $42.02 left to spend on either more pants or shirts. Divide this remaining amount by the price of the item you want to buy more of (either pants or shirts) to see how many more items you can purchase. Remember to round the result down to the nearest whole number, since you can't buy a fraction of an item.
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The radius of a circular track is 0.2 miles ellie ran around the track 3 times how many kilometers round to the nearest whole mile
Answer:
4 miles to the nearest mile.
Step-by-step explanation:
Circumference of the track = 2 pi r
= 2*pi*0.2 = 1.257 miles
Ellie ran 3 times around the track so
the distance she ran is 3* 1.257
= 4 miles
How are vectors used in real life?
Answer:
Vectors can be used in sports to define how a baseball player moves to catch a high fly baseball they can also be used with aircrafts.
Remember that science uses vectors to describe anything that has both a direction and a magnitude (size or quantity). These are drawn as pointed arrows, which length represents the magnitude. They are very used to locate persons or objects as the final direction can be predicted using a reference point, an stimated speed and direction. Vectors are also usefull to predict what would happen if two objects come into contact, an example would be predicting the movement of billiard balls, or calculating the trajectory of a golf ball.
Taylor Scuff leased a new sports car and is certain she can keep under the 12,000 miles allowed a year. The $2,200 due at signing includes the title and license fee. Her monthly lease payments are $700 a month. If the total lease cost is $27,400, for how many months does the lease last?
Answer:
The number of months does the lease last are 36 months.
Step-by-step explanation:
Let us assume that the number of months be x.
As given
Taylor Scuff leased a new sports car and is certain she can keep under the 12,000 miles allowed a year.
The $2,200 due at signing includes the title and license fee.
Her monthly lease payments are $700 a month.
If the total lease cost is $27,400.
Than the equations becomes
2200 + 700x = 27400
700x = 27400 - 2200
700x = 25200
[tex]x = \frac{25200}{700}[/tex]
x = 36
Therefore the number of months does the lease last are 36 months.
The equation of a circle is (x−11)2+(y−9)2=225 .
What is the center of the circle?
Answer:
(11,9)
Step-by-step explanation:
If a circle is given by its equation [tex](x-a)^2+(y-b)^2=r^2,[/tex] then coordinates of the center are [tex](a,b)[/tex] and radius is r.
In your case, for the circle with equation [tex](x-11)^2+(y-9)^2=225,[/tex] you can state that coordinates of the center are (11,9) and radius is 15.
Answer:
The center of the circle is (11,9)
The original selling price of a single share of stock was d dollars. The selling price for a share of the same stock on a later date was represented by the expression 0.8(1.25d). Which description could explain what happened to the price of the share of stocks? A. The price increased by 25% and then decreased by 20%. B. None C. The price increased by 1.35% and then decreased by 15%. D. The price increased by 135% and then decreased by 85%. E. The price increased by 35% and then decreased by 0.15%.
Answer:
A
Step-by-step explanation:
The expression 1.25 d means 100% of the price +25% of the price. This means it increased by 25%. Multiplying it by 0.8 means it's value is only 80% of the value now which means it must of had a 20% decrease after increasing. It's now at it's original price.