Small cooler can hold= 6 gallons
and big cooler can hold= 30 gallons
Step-by-step explanation:Let the numbers of gallons hold by a small cooler is: x gallons
and the number of gallons hold by a bigger cooler is: 5x gallons.
( Since it was given that:
The bigger cooler is 5 times as large as the smaller cooler )
Also the total number of gallons of punch for a party is: 36 gallons
Hence, we get:
x+5x=36
i.e. 6x=36
On dividing both side by 6 we get:
x=6
Hence, the number of gallons hold by small cooler is: 6 gallons
and number of gallons hold by big cooler is: 5×6=30 gallons
On a local sports team, 20% of 50 players are left-handed. How many left-handed players are there?
Answer:
10
Step-by-step explanation:
20%x50=10
Final answer:
To find the number of left-handed players on the sports team, 20% of the 50 total players is calculated, which equals 10 left-handed players.
Explanation:
To calculate the number of left-handed players on a local sports team where 20% of the players are left-handed, you need to apply the percentage to the total number of players. If there are 50 players in total, you would calculate 20% of 50:
Convert the percentage to a decimal by dividing it by 100. So, 20% becomes 0.20.
Multiply this decimal by the total number of players to find the number of left-handed players: 0.20 imes 50 = 10.
Therefore, there are 10 left-handed players on the team.
18........................
Answer:
D
Step-by-step explanation:
We will use the radical property [tex]\sqrt{a*b} =\sqrt{a} \sqrt{b}[/tex] to simplify this.
The problem is [tex]\sqrt{169*x^5}[/tex]
We can simplify this as:
[tex]\sqrt{169*x^5} \\=\sqrt{169} \sqrt{x^5}[/tex]
Now we can use the property of radicals, [tex]\sqrt[n]{x^a} =x^{\frac{a}{n}}[/tex] , to write as:
[tex]\sqrt{169} \sqrt{x^5} \\13*x^{\frac{5}{2}}[/tex]
D is right answer.
Answer:
d. [tex]13x^{\frac{5}{2}}[/tex]
Step-by-step explanation:
The given expression is
[tex]\sqrt{169x^5}[/tex]
We can rewrite this as
[tex]\sqrt{169}\times \sqrt{x^5}[/tex]
We rewrite as a rational exponent to obtain;
[tex](13^2)^{\frac{1}{2}}\times (x^5)^{\frac{1}{2}}[/tex]
Recall that;
[tex](a^m)^n=a^{mn}[/tex]
[tex]13^{(2\times \frac{1}{2})}\times (x)^{5\times \frac{1}{2}}[/tex]
[tex]13^1 (x)^{\frac{5}{2}}[/tex]
The correct choice is D
[tex]13x^{\frac{5}{2}}[/tex]
Which two numbers does 65/10 lie between?
Answer:
6 and 7
Step-by-step explanation:
because 65/10 equals 6.5
Answer:
It lies between 6 and 7
Find the value of x.
A.
2
B.
4
C.
6
D.
8
Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
Answer:
The correct option is B.
Step-by-step explanation:
From the given figure it is clear that triangle LMN is a right angled triangle.
According to Pythagoras theorem: In a right angled triangle
[tex]hypotenuse^2=perpendicular^2+base^2[/tex]
In triangle LMN,
[tex]LN^2=LM^2+MN^2[/tex]
[tex](\sqrt{20})^2=x^2+(x-2)^2[/tex]
[tex]20=x^2+x^2-4x+4[/tex]
[tex]20=2x^2-4x+4[/tex]
Subtract 20 from both sides.
[tex]0=2x^2-4x+4-20[/tex]
[tex]0=2x^2-4x-16[/tex]
Taking out common factors.
[tex]0=2(x^2-2x-8)[/tex]
Splitting the middle term we get
[tex]0=2(x^2-4x+2x-8)[/tex]
[tex]0=2(x(x-4)+2(x-4))[/tex]
[tex]0=2(x-4)(x+2)[/tex]
Using zero product property we get
[tex]x-4=0\Rightarrow x=4[/tex]
[tex]x+2=0\Rightarrow x=-2[/tex]
The value of can not be negative because side of a triangle is always positive. So, the value of x is 4.
Therefore the correct option is B.
How many 2/3 's make up 4 1/5
Answer:
6³/₁₀
Step-by-step explanation:
Number of bits = Total amount/Size of each bit
= (4⅕)/(⅔)
Convert the mixed number to an improper fraction
No. = (²¹/₅)/(⅔)
Invert the denominator and change division to multiplication
No. = ²¹/₅ × ³/₂
Multiply numerators and denominators.
No. = ⁶³/₁₀
Convert the improper fraction to a mixed number.
No. = 6³/₁₀
It takes 6³/₁₀ ⅔s to make up 4⅕.
What is the mean of the mean of the data set below?
12, 15, 10 ,11
Answer:
12
Step-by-step explanation:
12+15+10+11=48
48/4=12
Sum of all the data which is 12+15+10+11=48 then divide by how many data point which is 4
48/4 =12
Line jk passes through points j(-4,-5) and k(-6,3). What is the value of b
Answer:
b = -21Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
b - y-intercept → (0, b)
We have the points J(-4, -5) and K(-6, 3).
The points J, K and y-intercept A(0, b) are collinear. Therefore the slope of JA and KA are the same.
We have the equation:
[tex]\dfrac{b-(-5)}{0-(-4)}=\dfrac{b-3}{0-(-6)}\\\\\dfrac{b+5}{4}=\dfrac{b-3}{6}\qquad\text{cross multiply}\\\\6(b+5)=4(b-3)\qquad\text{use the distributive property}\\\\6b+30=4b-12\qquad\text{subtract 30 from both sides}\\\\6b=4b-42\qquad\text{subtract 4b from both sides}\\\\2b=-42\qquad\text{divide both sides by 2}\\\\b=-21[/tex]
How many flowers, spaced every 3 in., are needed to surround a circular garden with a 150-ft radius? Use 3.14 for pi.
Final answer:
To surround a circular garden with a 150-ft radius every 3 inches with flowers, calculate the garden's circumference using the formula C = 2πr, convert it to inches and divide by the spacing. You'd need approximately 3,768 flowers.
Explanation:
To calculate the number of flowers needed to surround a circular garden with a 150-ft radius spaced every 3 inches, you have to find the circumference of the garden and then determine how many 3-inch spaces fit along that circumference.
First, find the circumference (C) of the garden using the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius. In this case:
C = 2 × 3.14 × 150 ftC = 2 × 3.14 × 150 ft = 942 ftConvert 942 ft into inches because the spacing is in inches:
C = 942 ft × 12 in/ft = 11,304 inNow, divide the circumference in inches by the spacing to get the number of flowers:
Number of flowers = 11,304 in / 3 in per flowerNumber of flowers = 3,768Therefore, you would need 3,768 flowers to surround the garden spaced every 3 inches.
according to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11
Answer:
[tex]\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}[/tex]
Step-by-step explanation:
The given polynomial function is
[tex]f(x)=5x^3-7x+11[/tex]
According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.
The potential rational roots are
[tex]\pm\frac{11}{1}=\pm11[/tex]
[tex]\pm\frac{1}{1}=\pm1[/tex]
[tex]\pm\frac{11}{5}[/tex]
[tex]\pm\frac{1}{5}[/tex]
Convert 6 pounds, 4 oz. to ounces.
64 oz.
76 oz.
95 oz.
100 oz.
Answer:
The answer is 100 oz
Step-by-step explanation:
HOPE THIS HELPS YOU
Which of the following is the converse of the statement, "If you are smiling, thern you are happy"?
O A. If you are happy, then you are not smiling
O B. If you are not happy, then you are not smiling
O C. If you are not smiling, then you are not happy
O D. If you are happy, then you are smiling
The converse of the statement, "If you are smiling, then you are happy" is Option(C) "If you are not smiling, then you are not happy".
Converse of a statement -The converse of a statement is formed by switching the hypothesis and the conclusion. Thus the converse of a true statement is always false and for conditional relation statement, "If true then yes". If there are two statement proposition p and q then the converse of the statements is denoted as p→q.
How to find the converse of the given statements ?Original statement given "If you are smiling, then you are happy" .
Converse is just opposite of the given statement denoting the same meaning of the Hypothesis.
Thus we have the converse statement in Option (C),
"If you are not smiling, then you are not happy".
To learn more about converse statement , refer -
https://brainly.com/question/1899843
#SPJ2
Use the slope formula to find the missing coordinate. m = -7/2 , T(13, 2), W(_, -5)
A. -11
B. 11
C. 15
Answer:
Option C. [tex]15[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]T(13,2)\ W(x2,-5)[/tex]
[tex]m=-\frac{7}{2}[/tex]
Substitute the values and solve for x2
[tex]-\frac{7}{2}=\frac{-5-2}{x2-13}[/tex]
[tex]-\frac{7}{2}=\frac{-7}{x2-13}[/tex]
equate the denominators
[tex]x2-13=2\\x2=2+13\\ x2=15[/tex]
Answer:
The answer is C-15
Patrick 8
Jeffery 12
Robin 7
Sally 15
Manuel 4
Ming 10
Jesse 12
Mark 17
Jenna 16
The owner of a car dealership keeps track of the monthly car sales for the salespeople at the dealership. What is the range for the number of cars sold?
My Answer:
The range is from 4 to 17.
When you are identifying a range you need to identify the highest and lowest number. This is your range because all of the other numbers are between the identified two.
Answer:
Step-by-step explanation:
4 to 17.. that is the answer to ur question love.
please graph this.
x + y ≤ 6
x ≤ 4
Answer:
The graph attached
y ≤ 6 - x
x ≤ 4
Step-by-step explanation:
∵ x + y ≤ 6
∴ y ≤ 6 - x
* Lets draw the line y = 6 - x
* Assume that:
· x = -1 ⇒ y = 7 ⇒ (-1 , 7)
· x = 0 ⇒ y = 6 ⇒ (0 , 6)
· x = 1 ⇒ y = 5 ⇒ (1 , 5)
· x = 2 ⇒ y = 4 ⇒ (2 , 4)
* Plot the points on the graph and make the line sold ( ≤ )
* Shade all the region under the line
∵ x ≤ 4
* Lets draw the line x = 4
* All the points on this line have x-coordinate = 4 (vertical line)
* Draw a vertical line on x = 4 the line is sold (≤)
* Shade all the region left to the line
* The solutions of this system of equations will be on the
common shaded
parts of the two lines (red and blue together)
Solve –3(2 – 5w) = 9w + 66 for w.
-6 + 15w = 9w + 66
6w = 72
w = 12
Which ones are equivalent tell me all that apply:)
a) second and last one : 32x - 24 and 8*4x - 8*3
b) first and third one : 22y and 7y + 15y
pls mark brainliest!!
Answer:
a. b,d / b. a,c
Step-by-step explanation:
Plz help me i need it
Answer: [tex]a)\quad f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{3}}[/tex]
Step-by-step explanation:
Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y
[tex]y=3x^3-5\\\\\text{Swap the x's and y's:}\\x=3y^3-5\\\\\text{Add 5 to both sides:}\\x+5=3y^3\\\\\text{Divide both sides by 3:}\\\dfrac{x+5}{3}=y^3\\\\\\\text{Take cubed root of both sides:}\\\sqrt[3]{\dfrac{x+5}{3}}=y[/tex]
what decimal is equivalent to -7 / 8
That decimal would be -.875
Hey there!
In order to find the decimal divide the numerator (top number) from the denominator (bottom number)
~ -7 ÷ 8 = 0.875 (as a decimal)
~ Thus your answer will most likely be, -0.875
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Given the following linear function, sketch the graph of the function and find the domain and range. f(x)=2/3-3
Answer:
f(x)= 2/3-3 is undefined.
A plate lunch costs $1.35. Bought separately, the items cost: sandwich, $0.95; milk, $0.35; and fruit, $0.20. Which is the less expensive way to buy the items?
Plz explain
Add 0.95 0.35 and 0.20 and if it’s less than 1.35 it’s ur answer but if 1.35 is less, than that’s ur answer
Answer:
Step-by-step explanation:
Cost of items =$0.95+$0.35+$0.20=$1.50
Plate cost=$1.35
Plate is less expensive way to buy items
A group of volunteers has been collecting toys to deliver to a local charity. Over the last 6 days, The volunteers have collected 492 toys. What has been their collection rate, in toys per day?
Answer:
82 toys per day
Step-by-step explanation:
492 divided by 6 = 82 (toys)
6 divided by 6 = 1 (days)
492/6 = 82/1
Answer:
a
Step-by-step explanation:
HELP PLS WILL MARK BRAINLIEST HAVE PICTURE BELOW
Drag a figure into each blank space so that the two figures in the row match the description.
Answer:
Figure 4: Square
Figure 1: Parallelogram
Figure 2: Rectangle
Step-by-step explanation:
Question 1: If they're not similar it can't be the same shape but if they have the same corresponding angles it has to be either a rectangle or a square. It can't be a rectangle so it must be a square.
Question 2: Can't be similar so it can't be the same shape. The only two shapes with side lengths proportional are the parallelogram and the rectangle. It can't be the rectangle so it must be the parallelogram.
Question 3: If it's similar it has to be the same shape so the answer must be the rectangle.
Answer:
hope this helps
Step-by-step explanation:
What is the surface area of this cylinder to the nearest integer?
57 in2
75 in2
132 in2
250 in2
Answer:
131.95in^2
Step-by-step explanation:
The formula for surface area in a cylinder is A = 2pi*r*h + 2pi*r^2
The radius in this cylinder is half the diameter in the cylinder which is 6, so the radius is 3.
The height is 4 since it is given.
Then we just plug the values into the equation and we get a surface area around 131.95in^2
Answer:
The answer is C. 132 [tex]in^{2}[/tex]
Step-by-step explanation:
Remember: If the answer is not there, check your work or round up! :)
The town swimming pool is d feet deep. The width of the pool is 5 feet greater than 5 times its depth. The length of the pool is 50 feet greater than 5 times its depth. Enter a simplified expression to represent the volume of the pool.
Answer:
[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]
Step-by-step explanation:
If the pool has a rectangular shape then its volume can be written as:
V = Width * Length * Depth
Let's call:
w = width
l = length
d = depth.
So we know from the statement of the problem that:
[tex]d = d[/tex]
[tex]w = 5 + 5d[/tex] (5 feet more than 5 times the depth)
[tex]l = 50 + 5d[/tex] (50 feet more than 5 times the depth)
Then, the volume can be written according to the depth as:
[tex]V = d(5 + 5d)(50 + 5d)[/tex]
[tex]V = d[250 + 25d + 250d + 25d ^ 2][/tex]
[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]
The volume of the swimming pool is represented by the expression V = (5d + 50)(5d + 5)(d), where d is the depth of the pool.
The student is asked to find a simplified expression to represent the volume of the swimming pool, with the pool's depth given as d feet. To calculate the volume, we need to find the dimensions for the width and length of the pool. The width is described as 5 feet greater than 5 times its depth, which translates to
5d + 5 feet.
The length is 50 feet greater than 5 times its depth, so it will be
5d + 50 feet. The volume (V) of a rectangular solid is given by the product of its length (L), width (W), and depth (D), so the volume of this swimming pool is
V = LWD = (5d + 50)(5d + 5)(d).
Giraffes are herbivores,or plant eaters. A giraffe can eat up to 75 pounds of leaves each day. Write and evaluate an expression to find how many pounds of leaves 5 giraffes can eat in a week.
Answer: 2625
Let’s say you multiply 5 giraffes by 75 pounds = 375lbs 5 giraffes eat a day multiply the 5 giraffes and they answer should be 2625lbs
the First one witch for me is six (6)
The point slope form of the eqaution of the line that passes through (-5,-1) and (10, -7) is y+7= -2/5 (x - 10) what is the standard form of the equation for this line 2x-5y=-15 2x-5y= -17 2x+5y=-15 2x+5y=-17
Answer:
2x + 5y = -15Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
We have the equation in point-slope form:
[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]
Convert it to the standard form:
[tex]y+7=-\dfrac{2}{5}(x-10)[/tex] multiply both sides by 5
[tex]5y+35=-2(x-10)[/tex] use the distributive property a(b + c) = ab + ac
[tex]5y+35=(-2)(x)+(-2)(-10)[/tex]
[tex]5y+35=-2x+20[/tex] subtract 35 from both sides
[tex]5y=-2x-15[/tex] add 2x to both sides
[tex]2x+5y=-15[/tex]
Please solve this question ASAP.
Answer:
m∠QPR = 80°Step-by-step explanation:
Look at the picture.
We know: the sum of the measures of the angles of the triangle is equal to 180 °.
Therefore
In ΔTQR we have the equation:
[tex]\alpha+\beta+130^o=180^o[/tex] subtract 130° from both sides
[tex]\alpha+\beta=50^o[/tex]
In ΔPQR we have the equation:
[tex]2\alpha+2\beta+m\angle QPR=180^o[/tex]
[tex]2(\alpha+\beta)+m\angle QPR=180^o[/tex]
Substitute from the first equation
[tex]\alpha+\beta=50^o[/tex]
[tex]2(50^o)+m\angle QPR=180^o[/tex]
[tex]100^o+m\angle QPR=180^o[/tex] subtract 100° from both sides
[tex]m\angle QPR=80^o[/tex]
A die is rolled 3 times. What is the probability of getting 1’s on each roll?
Answer: The answer is around 16.66%
Answer:
Step-by-step explanation
The first step you have to get it into this form
a[tex]x^{2}[/tex] + bx + c
So that would be
3x[tex]x^{2}[/tex] + 1x + c
we do not know what c is
we have to get x by it self from 3x[tex]x^{2}[/tex] so first you have to square it now we are at 9x
9x divided by 9 that would leave us with x
so our finished product is x + 1x + c
we have to get x by itself from 1x so we do exactly what we just did 1x divided by 1x would leave us with x
x + x=[tex]x^{2}[/tex] + x
[tex]x^{2}[/tex] + c is the finished product which is your answer
Eli claims that the product of and is . Which explains whether Eli is correct?
Answer: last option.
Step-by-step explanation:
According to the Product of powers property, you have:
[tex]a^n*a^m=a^{(n+m)}[/tex]
As you can see, when you can add the exponents when you have powers with equal base.
Then, [tex]6^5[/tex] and [tex]5^{-3}[/tex] do not have the same base, therefore, the exponents can't be added.
Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.
Answer:
d
Step-by-step explanation:
please mark brainliest
Help me solve plz. Use substitution to check. y - 4 = 36
Answer:
y = 40
Step-by-step explanation:
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides.
y - 4 = 36
y - 4 (+4) = 36 (+4)
y = 36 + 4
y = 40
Check. Substitute 40 for y.
Plug in 40 for y.
y - 4 = 36
(40) - 4 = 36
36 = 36 (True).
~