400-100=300
300÷60=5
5 trips
Answer:- C) is the right answer. She can take 5 trips without exceeding her budget .
Explanation:-
Given: Budget for trips = $400
Amount needed by Kayla at the end of the trip= $100
Thus the exact amount she spends on trips= $400-$100= $300
Amount spend for each day trip = $ 60
Then The number of trips she can take[tex]=\frac{\text{Amount spend on trips }}{\text{Amount for each trip}}=\frac{300}{60}=5[/tex]
Thus she can take 5 trips without exceeding her budget .
ok ok THIS is the part 2 to my last question
[tex]a_1=4\\\\a_2=4+6=10\\\\a_3=10+6=16\\\\a_n=a_{n-1}+6,\ a_1=4[/tex]
Round the nearest whole percent what is 49 to 149
33%
Solution:Percentage = 49/149 * 100
= 32.88%
Round the answer:
= 33%
please answer all of them with work will give brainliest
E. n = 3
N. x = -6
A. x = 4
H. t = 10
E. v = -5
I. x = -8
T. y = 2
A. m = -16
Y. k = 7
S. x = -1
T. d = -12
F. u = 29
C. y = 1
E. 20n - 28 =10n+2
10n= 30
n=3
N. 9x+27 =4x-3
5x = -30
x= -6
A. 24-16x =x-11x
24 = 6x
x= 4
H . 3t + 16t-48= 2+14t
5t =50
t= 10
E. 2v+18= 16 -4v -28
6v = -30
v=-5
I. 4x-9 +3x=8x-1
x=8
T. 24+12y =10y+40
2y =16
y=8
Two cars leave a gas station at the same time, one traveling north and the other south. The northbound car travels at 50 mph. After 3 hours the cars are 345 miles apart. How fast is the southbound car traveling?
a.
60 mph
b.
65 mph
c.
70 mph
d.
75 mph
For this case we have:
We define the following variable
x : Speed of the car in South direction
By definition, we know that:
[tex]Distance = Speed * Time[/tex]
For the car in north direction:
[tex]D1 = V1 * T1\\D1 = 50mph * 3h\\D1 = 150 miles[/tex]
For the car in south direction:
[tex]D2 = V2 * T2\\D2 = x * 3\\D2 = 3x[/tex]
The distance between both cars, after 3 hours, is:
[tex]D = D1 + D2[/tex]
So, we have:
[tex]345 = 150 + 3x[/tex]
Clearing x;
[tex]3x = 345-150\\3x = 195\\x = 65[/tex]
Thus, the speed of the car in the south direction is [tex]x = 65mph[/tex]
Answer:
Option B
Answer: B. 65 MPH
Step-by-step explanation:
Kim is paid $78 for 6.5 hours of work. What is her rate of pay per hour?
Answer:
Answer:
78 dollars /6.5 hours = 12 dollars .
Your rate is 12 dollars per hour.
Step-by-step explanation:
An investment firm wants to create a billboard that displays an enlarged $1,000,000 bill. The actual size of the bill is 2.61 inches by 6.14 inches. If the billboard is 48 feet wide, what's the scale of the bill to the billboard?
A. 1′ = 8.71″
B. 1′ = 7.81″
C. 1″ = 8.71′
D. 1″ = 7.81′
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
635/72=-5/4(-11/4+x)
Please help me, and show work.
Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours. She checked each account on Monday at 2pm when will she check each account at the same time?
Answer:
She will checked each account on Tuesday at 2 pm.
Step-by-step explanation:
Consider the provided information.
Julie has 2 email accounts she checks one of them every two hours the other she checks every 24 hours.
In order to solve this first find the LCM of both numbers.
2 = 2×1
24 = 2×2×2×3
The LCM of 2 and 24 is 24.
Thus, she will check each account at the same time after 24 hours.
It is given that she checked each account on Monday at 2pm.
That means after 24 hours of Monday 2 pm she will again check each account at the same time.
Hence, she will checked each account on Tuesday at 2 pm.
What is the focus of the parabola given by `-(1)/(4)(y + 2)^2 = (x −1)`? A. (-1, 2) B. (1, -2) C. (0, -2) D. (0, 2)
The correct answer is that the focus is, (0,−2)
Answer:
The correct option is C.
Step-by-step explanation:
The given equation is
[tex]-\frac{1}{4}(y+2)^2=(x-1)[/tex]
Multiply both the sides by -4.
[tex](y+2)^2=-4(x-1)[/tex] .... (1)
Where, (h,k) is vertex and (h+p,k) is focus.
The standard form of a parabola is
[tex](y-k)^2=4p(x-h)[/tex] ..... (2)
From (1) and (2), we get
[tex]k=-2,h=1,4p=-4\Rightarrow p=-1[/tex]
The focus of the parabola is
[tex](h+p,k)=(1-1,-2)=(0,-2)[/tex]
The focus of the given parabola is (0,-2). Therefore the correct option is C.
when simplifying an expression that contains no parentheses, you always multiply before you divide.
True
or
False
Answer:
I think the answer is false I am not A 100%sure but most likely false
Step-by-step explanation:
_______ of functions are roots of polynomial equations. Zero(s) minimum(s) maximum(s) y-intercept(s)
PLEASE PLEASE PLEASE HELP ME! BRAINLEST!
Given: ABCD ∥gram,
BK ⊥AD ,
AB ⊥BD
AB=6, AK=3
Find: m∠A, BK, and the area of ABCD
I mean m<A=60 and BK=3 root 3 but idk what the area is. PLEASE HELP
Answer:
1) m∠A=60°
2) [tex]BK=3\sqrt{3}[/tex]
3) The area of ABCD is 62.35
Step-by-step explanation:
1) - You can calculate the angle m∠A as following:
[tex]cos^{-1}(\alpha })=\frac{adjacent}{hypotenuse}\\adjacent=3\\hypotenuse=6\\[/tex]
- Substitute values and solve for the angle. Let's call the angle m∠A "[tex]\alpha[/tex]"
[tex]cos^{-1}(\alpha )=\frac{3}{6}\\ \alpha =60[/tex]
2) Apply the Pythagorean Theorem to find BK:
[tex]BK=\sqrt{6^{2}-3^{2}}=3\sqrt{3}[/tex]
3) - If you analize the figure, you can see that the triangle ABD and the triangle BCD are the same triangle, both are equal, therefore both have the same area.
- Then, you can calculate the area of ABD and multiply it by 2 to calculate the area of ABCD. The area of a triangle is:
[tex]Area=\frac{(base)(height)}{2}[/tex]
- The area ABD will be the sum of the area of the triangle ABK and the area of the triangle KBD.
- First, you must calculate the angle m∠D using the triangle ABD, which is a right triangle. The sum of the interior angles of a triangle is 180°. You know the angles m∠A (60°) and m∠B (90°), therefore:
[tex]60+90+D=180\\D=30[/tex]
m∠D=30°
- Now, you can calculate KD:
[tex]tan(30)=\frac{3\sqrt{3}}{KD}\\KD=9[/tex]
- The area of ABCD is:
[tex]A_{ABCD}=2(A_{ABK}+A_{KBD} )[/tex]
[tex]A_{ABCD}=2(\frac{(3)(3\sqrt{3})}{2}+\frac{(9)3\sqrt{3}}{2})\\A_{ABCD}=62.35[/tex]
Which statement is not true about General Edward Braddock?A.He captured Fort Duquesne.B.He was killed in battle.C.He did not respect colonial soldiers.D.He ignored early early warnings
Answer:
A. He captured Fort Duquesne.
Step-by-step explanation:
General Edward Braddock was fatally injured in the battle field and died of wounds. He insisted upon using open field tactics which turned out to be very fatal leading to the death of 1000 soldiers. He did ignore the early warnings of his aides regarding his strategy.
A British force led by General Edward Braddock, moving to take Fort Duquesne, was defeated by a force of French and Canadian troops under Captain Daniel Liénard de Beaujeu with its American Indian allies.
Consequently, he failed to capture Fort Duquesne. So statement A is not true.
Which best describes the association shown in the scatter plot?
A.strong positive
B.strong negative
C.moderate negative
D. no association
A- Strong Positive
Hope this helps!
Answer:
A- Strong Positive
Hope this helps!
Step-by-step explanation:
Is the function even odd or neither
Answer: Neither
The function is not even because it doesn't have y axis symmetry. In other words, reflecting it over the vertical y axis means it doesn't line up with itself. The left half is different from the right half.
The function isn't odd either. Why not? Because rotating it 180 degrees around the origin has the function curve looking completely different. A point like (3,6) will rotate to (-3,-6) which is not on the orange curve. This is just one counter-example as to why the function is not odd.
In mathematics, a function is classified as Odd or Even based on its symmetry. An Even function has symmetry about the y-axis while an Odd function has rotational symmetry. A function could also be neither even nor odd if it doesn't meet these criteria.
Explanation:In mathematical terms, a function can be classified as Even if it meets the criteria of y(x) = y(-x), meaning it has symmetry about the y-axis. A function is classified as Odd if it meets the criteria of y(x) = -y(-x), meaning it is the mirror image of itself about the origin, or it has rotational symmetry.
Let's take some examples: even function is the square function x², and an odd function is the cubic function x³. The combination results could vary: an even function times an even function results in an even function, an odd function times an odd function results in an even function, whereas an odd function times an even function results in an odd function.
However, it's important to note that a function could also be Neither even nor odd. This happens if the function does not meet any of the above-mentioned criteria for even or odd functions.
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Find f(3) 1 point Multiple choice + Graph!
we know that
f(3) is the value of the function when x is equal to 3
so
For x=3
see in the graph
f(3)=6
see the attached figure
therefore
the answer is
f(3)=6
According to the graph in the problem, f(3) = 6
How to find the valueIn the graph we have curve and line. we look out for domain of 3
The domain of 3 is the point on the graph where x axis is 3. At this point we trace to the graph and find the corresponding value on the y axis
This gives the solution of the graph
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Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit. Convert 103.00 degrees Fahrenheit to a z-score and determine if it is usual of unusual. Unusual means that the z-score is more than 2 standard deviations below or above the mean.
Answer:
z-score will be: 7.741.... and it will be unusual.
Step-by-step explanation:
Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation of 0.62 degrees Fahrenheit.
So here, [tex]\mu= 98.20[/tex] and [tex]\sigma= 0.62[/tex]
Formula for z-score is: [tex]z= \frac{X-\mu}{\sigma}[/tex]
Thus, the z-score for 103.00 degrees Fahrenheit will be.......
[tex]z(X=103.00)= \frac{103.00-98.20}{0.62}=7.741...[/tex]
As, here the z-score is more than 2 standard deviations above the mean, so 103.00 degrees Fahrenheit is unusual for human body temperature.
Two thirds of a number is 18work out five ninths of the number
At a car dealership yesterday, the ratio of minivans sold to cars sold was 3:5, I'd the dealership sold 12 minivans, how many were sold?
It's b
Hope I'm right
If minivans and cars were sold at a 3:5 ratio each day and there were 12 minivans sold yesterday they would have sold 20 cars.
You can find this by dividing 12(the number of minivans sold) by 3(the ratio of vans v.s. cars), which equals 4. To find the amount of cars sold, use the same method, only multiply with by the ration of cars. 5*4 = 20
100 points please help!! The following data show the number of dogs per house in a neighborhood: 2, 1, 3, 2, 1, 4, 1, 5, 2, 1, 3, 1 The data have been organized into a dot plot, as shown below: A dot plot with integers 1 to 5 is shown. It is labeled Dogs, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. For which number are the data plotted incorrectly?
A. 4
B. 3
C. 2
D. 1
Hey there! The correct answer is D.1 the reason is because the number of the data is plotted incorrectly.
968,000 in Scientific notation with exponents
Answer:
9.68E5
Step-by-step explanation:
please help on this one?
m = [tex]\frac{1}{2}[/tex], (x₁ , y₁) = (-2, -4)
y - y₁ = m(x - x₁)
y -(-4) = [tex]\frac{1}{2}[/tex](x - (-2))
y + 4 = [tex]\frac{1}{2}[/tex](x +2)
y + 4 = [tex]\frac{1}{2}x[/tex] + 1
y = [tex]\frac{1}{2}x[/tex] - 3
Answer: A
what is the value xy under w if x=-3 y=4 and w=-6
[tex]\frac{w}{xy} = \frac{-6}{-3(4)} = \frac{-6}{-12} = \frac{1}{2}[/tex]
Answer: [tex]\frac{1}{2}[/tex]
**PLEASE HELP 30 POINTS**
How many different sets of two-letter initials can you make using the letters D, G, M, D, and T if you can use each letter only once in a set?
Write the linear factorization of f(x)=x^4 - 2x^3 + 2x - 1
[tex]f(x)=x^4-2x^3+2x-1=x^4-x^3-x^3+x+x-1\\\\=x^3(x-1)-x(x^2-1)+1(x-1)\\\\=x^3(x-1)-x(x^2-1^2)+1(x-1)\\\\=x^3(x-1)-x(x+1)(x-1)+1(x-1)\\\\=x^3(x-1)+(x-1)(-x(x+1)+1)\\\\=(x-1)(x^3-x(x+1)+1)\\\\=(x-1)(x^3-x^2-x+1)\\\\=(x-1)[x^2(x-1)-1(x-1)]\\\\=(x-1)(x-1)(x^2-1)\\\\=(x-1)(x-1)(x^2-1^2)\\\\=(x-1)(x-1)(x-1)(x+1)[/tex]
[tex]Used:\\\\a^2-b^2=(a-b)(a+b)[/tex]
Which formula can be used to determine the total number of different eight-letter arrangements that can be formed using the letters in the word DEADLINE?
A.
8!
B.
8!/4!
C.
8!/2!+2!
D.
8!/2!*2!
I think the answers D but im not sure
Answer:
Option D
Step-by-step explanation:
See the letters in the word deadline.
We have d and e repeated twice , and a,l,i,n once.
There are in total 8 letters
These 8 letters can be arranged in 8x7x6...1 = 8! ways
But since there are repititions of letters, we have 2! x 2! times repeated letters.
Hence we have to divide by 2!x2!
No of ways = [tex]\frac{8!}{2!*2!}[/tex]
Option D is right
PLEASE HELP !! IT WOULD BE GREATLY APPREACIATED ! I DONT KNOW HOW TO DO THIS
(A) Bella's TV ratio of sides: 36"/27" = 1.333...
Lenny's: 52"/29.25" = 1.777...
Bella's and Lenny's TVs are NOT similar - their side ratios are different. Bella's is 4:3 while Lenny's is close to 16:9.
(B) Bella's TV has an exact ratio of 4:3 (36/27=4/3) and so is the older type.
Lenny's TV has a ratio of 52"/29.25". Divide both 52 and 29.25 by 3.25 to get 16/9, or 16:9. So Lenny's is the newer type.
What is the product? Enter your answer as a fraction, in simplified form, in the box. −4/5⋅10/16
Answer:
-1/2
Step-by-step explanation:
-4 x 10= -40
-5 x 16= -80
-40 is half of -80, so the fraction would be -1/2
Hope this helps! <3
The product of the given expression of a fraction is -1/2.
It is required to find the product.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given:
The product of the given expression of fractions in simplified form.
According to given question we have,
[tex]\frac{-4}{5} *\frac{10}{16} \\\\=\frac{-40}{80} \\\\=\frac{-1}{2}[/tex]
so, the fraction would be -1/2.
Therefore, the product of the given expression of a fraction is -1/2.
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Solve the equation 3x+4y=12 for y
3x+4y=12
subtract 3x
4y=12-3x
divide by 4
y=3x/4+3
The equation solved for y is y = (-3/4)x -3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is 3x + 4y = 12.
3x + 4y = 12
4y = -3x - 12
y = (-3/4)x -3
Hence, the equation solved for y is y = (-3/4)x -3.
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Marla believes she has a 3/8 probability of being selected to head a committee. What is the probability that she won't be selected to head the committee?
A) 3/8
B) 1/2
C) 5/8
D) 3/4