Answer:
31 batches
Step-by-step explanation:
Find how many batches of orange punch smoothies he can make by dividing 560 by 18:
560/18
= 31.11
Since we can only have a whole number answer, round down.
So, he can make 31 batches of orange punch smoothies.
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
I WILL GIVE YOU BRAINLIEST AS SOON AS I CAN, PLEASE HELP!
Answer:
1. The given equation is presented as follows;
[tex]3^{2 \cdot x - 1} = \dfrac{1}{9}[/tex]
The above equation can be rewritten as follows;
[tex]3^{2 \cdot x - 1} = 3^{-2}[/tex]...(1)
Therefore, taking logarithm to base 3 of both sides of the equation, the above equation can be rewritten without an exponent as follows;
[tex]log_3 \left (3^{2 \cdot x - 1} \right) =log_3\left(\dfrac{1}{9} \right) = log_3 \left( 3^{-2} \right)[/tex]...(2)
2. Inverse relationship of exponents is given as follows;
(1/a)ˣ = a⁻ˣ
Therefore, we have;
1/9 = 1/(3²) = (3²)⁻¹ = 3⁻²
Taking log of both sides of [tex]\left (3^{2 \cdot x - 1} = \dfrac{1}{9} = 3 ^{-2}\right)[/tex] gives;
[tex]log_3 \left (3^{2 \cdot x - 1} \right)= log_3 \left( 3^{-2} \right)[/tex]
From logarithm rules, we have;
From equation (2), we have;
[tex](2 \cdot x - 1) \cdot log_3 3 = -2 \cdot log_3 3[/tex]
Therefore, the equation can be simplified by dividing both sides by the common factor, [tex]log_3 3[/tex], as follows;
[tex]\dfrac{(2 \cdot x - 1) \cdot log_3 3 }{log_3 3} = \dfrac{-2 \cdot log_3 3}{log_3 3}[/tex]
Therefore, we get;
2·x - 1 = -2...(3)
3. Solving 2·x - 1 = -2, gives;
2·x - 1 = -2
2·x = -2 + 1 = -1
x = -1/2 = -0.5
x = -0.5
EQUATION 3
The given equation is presented as follows;
[tex]125^{x - 1} = 5^x[/tex]
1. By the property of exponents, we have;
[tex]\left(a^b \right)^x = a^{b \times x}[/tex]
125 = 5³
Therefore, we get;
[tex]125^{x - 1}= \left(5^3\right)^{x - 1} = 5^{3\times (x - 1)} = 5^{(3\times x - 3)}[/tex]
[tex]125^{x - 1}= 5^{(3\times x - 3)}[/tex]
2. Given that we can rewrite the given equation as follows;
[tex]125^{x - 1} = 5^{(3\times x - 3)} = 5^x[/tex]
Therefore;
[tex]5^{(3\times x - 3)} = 5^x[/tex]
Both sides of the equation are given in powers of 5, therefore, the appropriate base logarithm to use on both sides to rewrite the equation is logarithm to base 5
3. Using logarithm, by applying logarithm to both sides, we get;
[tex]log_5 \left (5^{(3\times x - 3)} \right) = log_5 \left(5^x \right)[/tex]
[tex](3\times x - 3) \cdot log_5 5 = x \cdot log_5 5[/tex]
Dividing both sides by log₅5 gives;
[tex]\dfrac{ (3\times x - 3) \cdot log_5 5}{log_5 5} = \dfrac{ x \cdot log_5 5}{log_5 5}[/tex]
∴ 3 × x - 3 = x
3 × x - x = 3
2·x = 3
x = 3/2 = 1.5
x = 1.5
Step-by-step explanation:
Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?
Answer: $8.97
Step-by-step explanation:
he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three
$0.75 * 3 = $2.25
so henri saved $2.25 in total
we can add that to what he paid to find the original cost
$6.72 + $2.25 = $8.97
so the original price was $8.97 :)
Help please if you don’t mind! Thank you
6x-2+2x=5-2x+3
-8-2 = -8x -2x
10x - 2 = 8
Answer:
6x in the 1st box, 2 in the 2nd, 2x in the 3rd, 3 in the 4th
Next line:
8x in the 1st, 8 in the 2nd
Next line:
10 in the 1st
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Find the mean, median, mode, and standard
deviation of the quiz scores:
20, 58, 74, 77, 77, 85, 86, 90, 95, 98
Answer:
Step-by-step explanation:
mean = sum of data / no of data
20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10
760 / 10
76
to find median u should arrange the data from ascending to descending order.
since the given data is already arranged u dont need to change.
median = (N + 1)/2 (N means no of data)
=10 + 1 / 2
=11 / 2
=5.5
= 5 th term + 6 th term /2
=77 + 85 /2
=162 / 2
=81
mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.
Mode = 77
i need help with the function plz!!
Answer:
[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]
Step-by-step explanation:
Objective:Functions
The table of values range and domain isn't proportional so the answer is exponential.
A exponential function is represented by
[tex]ab {}^{x} [/tex]
The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be
[tex] \frac{1}{4} [/tex]
b=1/4 so plug that in our expression.
[tex]a( \frac{1}{4} ) {}^{x} [/tex]
Let plug in 1,512.
[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]
[tex] \frac{1}{4} a = 512[/tex]
[tex]a = 2048[/tex]
So our function is
[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]
identify the center and radius of the circle with equation.
( please help me )
Answer:
Center = (4, -5)
radius = 6
======================================================
Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
Rewrite the given equation into this form
(x-4)^2 + (y- (-5))^2 = 6^2
We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.
How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions
Answer:
No Solution
Step-by-step explanation:
because both of them have same gradient or slope.
we can say that those linear equations are parallel
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We need1/6 of a farm is planted maize,1/4 is planted beans and the remaining part is planted potatoes.What fraction of field is planted potatoes?
Answer:
7/12
Step-by-step explanation:
fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans
sum of fraction of farm planted with maize and beans =
[tex]\frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{2 + 3}{12} = 5/12[/tex]
1 - 5/12 = 7/12
pls help quickly!! :(
what is the surface area of the right cone below?
Answer:
B.
Step-by-step explanation:
Answer:
D, 143.
Step by step explanation:
(Find m∠IGH) m∠IGH =
Answer:
∠IGH = 50°
Hope this helps! :)
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.
Step-by-step explanation:
perimeter = 2(lenth + base)
perimeter-2b = 2(length)
Area=length×breadth
what is the volume of the box
Answer:
3/32 in^3
Step-by-step explanation:
volume = length * width * height
V=3/4 * 1/2 * 1/4
V= 3/32
Answer:
3/32inches^2
Step-by-step explanation:
Which statements are true of the function represented
by this graph?
Which graph?
___________
literally help meee because I don't understand
Answer and Step-by-step explanation:
You are being asked to find the area of a trapezoid. The area of a trapezoid is:
[tex]\frac{a+b}{2}[/tex] × h
Where:
a = Top base
b = Bottom base
h = Height
Plug in the values given to you via from the page.
[tex]\frac{7+11}{2} (3)\\\\\\\frac{18}{2}(3)\\\\(9)(3) = 27[/tex]
The answer (the area) is 27 [tex]cm^2[/tex].
#teamtrees #PAW (Plant And Water)
Is this set of data right-skewed, left-skewed, normal, or something else?
Answer:
The data represents data right-skewed because it's numerical data are in the right place and showing the percentage of an event/object.
#LearnwithBrainly
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
pls help me solve pls show how you got the answer
Answer:
$348
Step-by-step explanation:
Unit rate:
Sales clerk: $12/h
Assistant manager: 1/2 x 12= $6/h
Manager: 2 1/2 x 12= $30/h
Now for how long they will work (7.25 hours long):
Sales clerk: 12 x 7.25= $87
Assistant manager: 6 x 7.25= $43.5
Manager: 30 x 7.25= $217.5
In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.
I hope this will help qwq
what is the value n ?
Answer:
nutella
Step-by-step explanation:
M is the midpoint of AD.
What single transformation is required to map one of
these congruent triangles onto the other?
o
B
O Reflection
O Rotation
27
27
O Translation
O Dilation
А
M
D
Answer:
Mapping congruent triangles
mis the midpoint of ad.
what single transformation is required to map one of
these congruent triangles onto the other?
reflection
o rotation
o translation
o dilation
27
) intro
✓ done
4 of 9
The single transformation required to map one congruent triangle onto the other is a translation. So, correct option is C.
The given information describes two congruent triangles, triangle ABM and triangle DCM, which share a common side, MC. The lengths of sides BM and MC are given as 27.
To determine the transformation required to map one congruent triangle onto the other, we need to consider the corresponding sides and angles of the triangles.
Since the corresponding sides AB and CD are congruent, and the corresponding side BM and MC are congruent, this suggests a translation transformation. A translation involves shifting the entire shape in a specific direction without any change in size or shape.
Therefore, the single transformation required to map one congruent triangle onto the other is a translation. It would involve moving triangle DCM along the direction of the congruent sides to align it with triangle ABM, while keeping the distances and angles unchanged.
No other transformation (reflection, rotation, or dilation) is needed because the triangles are already congruent, which means they have the same shape and size.
To learn more about transformation click on,
https://brainly.com/question/16356508
#SPJ2
Complete question is:
m is the midpoint of ad. triangles a b m and d c m are connected at point m. sides a b and c d are congruent. the lengths of sides b m and m c are 27. what single transformation is required to map one of these congruent triangles onto the other?
a. reflection
b. rotation
c. translation
d. dilation
Round 382 to 1 significant figure
Answer:
382=380
Step-by-step explanation:
l don't know the answer but just trying
Rounding to one significant figure is to round the given number into a number where the first digit is a number and the remaining digits are all zeroes.
The number after rounding 382 to 1 significant figure is 400.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
382
We will round to 1 significant figure.
This means the hundred place value must be the only number remaining while keeping all the place values as zero.
Since the tens place value is more than 4.
We can round the hundred place value 3 into 4.
Now,
382 will be 400 when rounded to 1 significant figure.
Thus,
The number after rounding 382 to 1 significant figure is 400.
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ2
Simplify 5(x + y) -3(x - y)
Answer:
2x + 8y
Step-by-step explanation:
5x + 5y - 3x + 3y
5x - 3x + 5y + 3y
2x + 8y
Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions
Answer:
(i)unique solution
Explanation:
We solve for x1 thus in the first equation:
x1-3x3=-3
x1-9=-3
x1=-3+9
x1= 6
We solve for a thus in the second equation:
2x1+ax2-x3=-2
2+a2-x3=-2
a2-x3=-4
a2=-4+x3
If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is
Answer:
N=15
Step-by-step explanation:
N=numerator
D=denominator
(1+N)/(1+D)=4
(N-1)/(D-1)=7
(1+N)=4(1+D)
N=4D+3
(4D+3-1)/(D-1)=7
4D+2=7(D-1)
4D-7D=-2-7
D=-9/-3=3
N=4D+3=15
given that the graph below is a transformation of the graph f(x)=x2, which transformation occurred?
Answer:
whats?
Step-by-step explanation:
Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?
Answer:
The slope of the perpendicular line will 1/3.
Step-by-step explanation:
i have no idea what i’m doing
Answer:
f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2
Step-by-step explanation:
Use the Parabola tool to graph the quadratic functions.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola. (Applies to all functions.)
1. f(x)=2x^2−8x+9
2.f(x)=(x+4)^2−6
3. f(x)=(x−1)(x−3)
Step-by-step explanation:
HOPE IT WILL BE HELPED U DEAR FRIEND