Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
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Solve for v. v - 4.6=8.96
Answer:
v=13.56
Step-by-step explanation:
v - 4.6 = 8.96
v = 8.96 + 4.6
v = 13.56
Answer:
V=13.56
Step-by-step explanation:
hope it helps
have a great day
Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?
Answer:
33
Step-by-step explanation:
Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?
Answer:
1 inch
Step-by-step explanation:
We would have to convert rick's friends height to inches
1 feet = 12 inches
Friend's height = (12 x 5) + 11 = 71 inches
Difference in height = 72 - 71 = 1
The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n
Answer:
[tex]m=12\,,n=7[/tex]
Step-by-step explanation:
The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]
The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].
[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]
The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].
[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]
Therefore,
[tex]m=12\,,n=7[/tex]
Help me I’ll give you good rating and make you branliest
Answer:
answer is 8
Step-by-step explanation:
Area= LxW (length times width)
length is 4 width is 2
4x2 equals 8
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
Factor fully. Pls help
Answer:
(2x+9)^2
Step-by-step explanation:
Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial
calculate the first four terms t=3n+2
Answer:
[tex]n = \frac{t - 2}{3} [/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]t - 2 = 3n[/tex]
2) Divide both sides by 3.
[tex] \frac{t - 2}{3} = n[/tex]
3) Switch sides.
[tex]n = \frac{t - 2}{3} [/tex]
Therefor, the answer is n = t-2/3.
The functions f(x) and g(x) are shown on the graph. f(x) = |x|
what is g(x)
Answer:
D
Step-by-step explanation:
Answer:
i just took it. its actually g(x)=|x+5|
Step-by-step explanation:
Factor the GCF: −12x3y5 − 9x2y2 + 12xy3 (10 points)
−3(4x3y5 + 3x2y2 − 4xy3)
−3xy2(4x2y3 + 3x − 4y)
−3xy2(4x2y3 − 3x + 4y)
3xy2(−4x2y3 − 3x + 4y)
Your dinner bill at Best Little Roadhouse was $68.24. You left the server an 18% tip. What was your final total bill including tip and How much of a tip did you leave the server
Answer:
The total would be $80.52. The tip was $12.28
Step-by-step explanation:
18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.
IM NOT SMART IM SORRY
Answer:
a
Step-by-step explanation:
1.
x+7=0
x=-7
2.
2x-3=0
2x=3
x=3/2
You just need to find the x for each when it equals to zero
Brillianst please!
Answer:
ye im not smart either sorry.
Step-by-step explanation:
I need help with a achieve 3000 a presidents jobs
Answer:
Answer is in the photo. I can only upload it to a file hosting service. link below!
is.gd/qKzpBU
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
which of the following equations is quadratic?
A. x( x² + 1) = 0
B. 5(4x + 2) = 3
C. (x + 3)(x + 4) = 5
Angel is making a scale model of his favorite truck. The actual truck is 12 feet long and 4 feet wide. Angel wants his model to be 15 feet in length. What would be the width of his model?
Answer:
the answer is 5ft wide
Step-by-step explanation:
Hope this helps!
PLEASE HELP I'LL GIVE OUT EXTRA POINTS TO THOSE WHO ANSWER CORRECTLY
2. Is this number in scientific notation? Why or why not? If not, write in the correct format.
0.34 x 108
Please and thank you <3
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost \$25dollar sign, 25. Let BBB represent the number of black beards and RRR represent the number of red beards that Merlin can sell to make more money than he made last month.
Complete question :
Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?
Answer:
1.) > 350
2.) $20
Step-by-step explanation:
Number of black beard = B
Number red beard = R
Cost of red beard = 25
Last month inequality :
20B+25R > 350
Amount Merlin made last month :
Revenue from both red and black Bearf, Hence amount realized last year greater than 350
Cost per black beard is the Coefficient of B which is 20
can u help with it plz I really need help
Answer:
let angle e be x
x+4x+10=180°[by linear pair]
5x+10=180°
5x=180-10
5x=170
x=170/5
x=34
angle E=34°
angle E+angle C+angle D=180°[by angle sum property]
34°+70°+2x=180°
104°+2x=180°
2x=180°-104
2x=76°
angle d=76°
A rectangular painting has an area of 420 square inches. If the length is (2x + 5) inches and the width is (x) inches, then what is the value of x? Use completing-the-square and round the value of x to the nearest tenth. (Hint: You may find 2 solutions, but you only need the positive solution because the length and width must be positive values)
Answer:
12.1 inches
Step-by-step explanation:
Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.
Also, A = 420 square inches. So,
2x² + 5x = 420
2x² + 5x - 420 = 0
diving through by 2, we have
2x²/2 + 5x/2 - 420/2 = 0/2
x² + 5x/2 - 210 = 0
adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have
x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²
Simplifying, we have
(x + 5/2)² - 210 = 25/16
adding 210 to both sides, we have
(x + 5/2)² - 210 + 210 = 25/16 + 210
(x + 5/2)² = 25/16 + 210
(x + 5/2)² = (25 + 3360)/16
(x + 5/2)² = 3385/16
taking square root of both sides, we have
√(x + 5/2)² = ±√(3385/16)
(x + 5/2) = ±√3385/4
(x + 5/2) = ±58.18075/4
(x + 5/2) = ±14.55
x = -5/2 ±14.55
x = -2.5 ±14.55
x = -2.5 - 14.55 or -2.5 + 14.55
x = - 17.05 or 12.05
Since x = width and it cannot be negative, we choose the positive answer. So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)
For what value of x is 2x + 3 = 6x - 17 true?
Answer:
x = 5
Step-by-step explanation:
10 + 3 = 30 - 17
How many lines of symmetry does this rectangle have
A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?
A. 2 feet
B. 3.5 feet
C. 6.25 feet
D. 7 feet
Answer:
B. 3.5 feet
Step-by-step explanation:
The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.
Given the following data;
Hypotenuse = 12.5 ft
Opposite = 12 ft
To find the adjacent side, we would use the Pythagorean theorem;
Hypotenuse² = opposite² + adjacent²
Substituting into the formula, we have;
12.5² = 12² + adjacent²
156.25 = 144 + adjacent²
Adjacent² = 156.25 - 144
Adjacent² = 12.25
Taking the square root of both sides, we have;
Adjacent = 3.5 feet.
Therefore, the distance of the ladder from the house is 3.5 feet.
express y= x² + 2x + 3 in the form of y= (x-h)² + k
Given:
The equation is
[tex]y=x^2+2x+3[/tex]
To find:
The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].
Solution:
We have,
[tex]y=x^2+2x+3[/tex]
It can be written as
[tex]y=(x^2+2x)+3[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].
[tex]y=(x^2+2x+1)-1+3[/tex]
[tex]y=(x^2+2(x)(1)+1^2)+2[/tex]
[tex]y=(x+1)^2+2[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].
Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?
Answer:
First option seems to b correct..
Step-by-step explanation:
Given data set shows following ...
Sample size: 12
Median: 22
Minimum: 6
Maximum: 30
First quartile: 13
Third quartile: 27.5
Interquartile Range: 14.5
Outliers: none
Basically box and whisker represents 5 things.In case of box and whisker
The most left point of left side represents the Stating point of data smallest value
The most right point of right side represents the ending point of data largest value of data
left side of box respresnts the Q1 lower quartile while right side represnts
the upper quartile Q3 ..
And there is line somewhere in box that represents the medianof data set..
The box and whisker plot which gives the correct representation of the dataset given is the plot A.
Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17
To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :
Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :
Median: 22Minimum: 6Maximum: 30First quartile: 13Third quartile: 27.5Interquartile Range: 14.5Outliers: noneTherefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.
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The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°
Need Help With This ASAP
Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.
Answer:
Random sample of 500 residents of Story County
Step-by-step explanation:
SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.
Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.
Addison is shooting a free throw. The initial height of the ball is represented by the____
A. x-intercept
B. y-intercept
C. zeros
D. vertex
9514 1404 393
Answer:
B. y-intercept
Step-by-step explanation:
If we assume that the graph of the free-throw is of height versus time, then the initial height is the y-intercept—when time = 0.
HEP PLSSS
Given f(x)=3x2+4x and g(x)=2x2−x+1.
What is (f+g)(x)?
5x2+3x+1
−x2−5x−1
6x2−4x+1
x2+5x−1