Answer:
25 times
Step-by-step explanation:
If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish
The proportion is therefore 5/12
In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.
Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years
To check if we are correct, we check the proportion to see if it still evaluates to 5/12
25/60= 5/12 when reduced to lowest terms
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answer:
Step-by-step explanation:
D = { - 4 , 0 , 2 , 7 }
R = { - 8 , - 1 , 3 }
Yes the relation is a function.
ANAWER ASAP NEED HELP ASAP!!!!!!
Answer:
1/3
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”
Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.
write 9.68 in expanded form
Answer:
9+0.6+0.08
Step-by-step explanation:
The given decimal number in expanded form is 9+0.6+0.08.
The given decimal number is 9.68.
What is expanded from of a decimal number?Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).
Now, the expanded form of 9.68 is
9×1 + 6×1/10 + 8×1/100
= 9+0.6+0.08
= 9.68
Therefore, the given decimal number in expanded form is 9+0.6+0.08.
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An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.
Answer:
The capacity of the cistern is [tex]1.2231~m^3[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Step-by-step explanation:
Volume
The volume of a rectangular box of dimensions x,y,z is given by:
V = x.y.z
The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:
[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]
The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:
1.35 - 0.025 = 1.325 m
1.08 - 0.025 = 1.055 m
0.90 - 0.025 = 0.875 m
The internal volume is:
[tex]V_i=1.325*1.055*0.875[/tex]
[tex]V_i=1.2231~m^3[/tex]
The capacity of the cistern is 1.2231~m^3
The volume of iron used is the difference between the external and the internal volumes:
[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]
[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]
The volume of iron used is [tex]0.0891~m^3[/tex]
Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?
Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6
Answer: No
Step-by-step explanation:
The range and the Domain aren’t equal
A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000
Answer:
20 mobile sets.
Step-by-step explanation:
Every mobile set costs:
40000 / 8
= 5000 Rs.
Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:
100,000 / 5000
= 20 mobile sets.
Hope this helped!
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answer:
4 x 10⁵
so that i think will be OD)
List some of the valid reasons that can be used in a proof:
Answer:
Experiment results, and more results!
They help a LOT!
Step-by-step explanation:
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Please help!
What is 7% of 600
Answer:
42
Step-by-step explanation:
Hope this helps
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
Simplify.
Rewrite the expression in the form 4^x.
4^4 x 4^3 = ??
Answer:
[tex]4^{7}[/tex]
Step-by-step explanation:
To simplify the expression [tex]4^{4}\times4^{3}[/tex], we can use the first law of the law of indices which states that the exponent is added together when multiplying numbers with the same base. Eg: [tex]a^{x}\times a^{y} = a^{x+y}[/tex].
[tex]4^4 \times4^3=4^{4+3}[/tex]
[tex]=4^{7}[/tex]
Hope this helps :)
What expression represents the decimal 72.603
Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this question on the test
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
On a spelling quiz, Lily got 16 out of 20 questions correct. Select all the expressions that show the ratio of Lily’s correct answers to incorrect answers.
Answer:
ACD
Step-by-step explanation:
VNQLW3M2L,Q;KJ52KQ
Find the percent of decrease from 27 to 18.
PLEASE HELP
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?
Answer:
3x - y = -1
Step-by-step explanation:
y - y₁ = m(x - x₁)
substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m
y -4 = 3(x - 1)
distribute 3 to (x - 1)
y - 4 = 3x -3
isolate 3x by itself by adding 3 to both sides
y - 1 = 3x
subtract y from each side
-1 = 3x - y
and just flip around the equation to make it look nicer
3x - y = -1
will give brainliest!!! hurry up and solve it plzz
Answer:
8
Step-by-step explanation:
we can say that AD is congruent to DC
so your equation for x is: 4x - 1 = 2x
solve this to get x = 0.5
plug x into and equation and multiply you answer by 2 to find the hypotenuse of triangle ABC and DEF
4(0.5) - 1 = 1
hypotenuse: 1 x 2 = 2
since we know x is 0.5, plug this into 4x + 1 to find the length of the leg FE,
4(0.5) + 1 = 3
In the diagram, it shows that the legs of triangle are congruent
this means that FE, ED, BA, and BC are all congruent
since we know FE is 3, we know that all the other sides are 3 as well
this means that the perimeter of the triangle is: leg + leg + hypotenuse
so 3 + 3 + 2
the perimeter is 8
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
The required equation will be in the form y = Ae^kt
where:
k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.If High School A currently has 850 students and is projected to grow by 35 students each year, hence;
A = 850k = 35 (growth factor)Substituting into the formula, we will have:
y = 850e^35t
If High School B currently has 700 students and is projected to grow by 60 students each year, hence;
A = 700k = 60 (growth factor)Substituting into the formula, we will have:
y = 700e^70t
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
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How do I solve this equation?
Answer:
x = ± [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]|a|= \left \{ {a,if{a\geq 0} \atop-a, if {a<0}} \right.[/tex]
~~~~~~~~~~~~
7 | 3x | + 2 = 16
7 | 3x | = 14
| 3x | = 2
1). 3x = 2
x = [tex]\frac{2}{3}[/tex]
2). - 3x = 2
x = - [tex]\frac{2}{3}[/tex]
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
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Nicole has x dimes and y nickels. She has at least 15 coins worth a maximum of $1
combined. Solve this system of inequalities graphically and determine one possible
solution.
Answer:
Step-by-step explanation:
[tex]X + Y \geq 15\\\\10X + 5Y \leq 100[/tex]
we want to put it into terms of Y
[tex]y \geq 15 - x\\and\\5y \leq 100 - 10x\\y \leq 20 - 2x[/tex]
the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)
The solution of the inequalities is required.
One of the solutions is [tex](5,10)[/tex]
Number of dimes is [tex]x[/tex]
Number of nickels is [tex]y[/tex]
Minimum number of coins is 15.
So, [tex]x+y\geq 15[/tex]
Maximum total value of the coins is $1
So, [tex]0.1x+0.05\leq 1[/tex]
The equations are
[tex]x+y=15[/tex]
[tex]0.1x+0.05y=1[/tex]
Points of the first equation
[tex](0,15)[/tex] and [tex](15,0)[/tex]
Graph the points and draw a line through them.
Points of the second equation
[tex]x=0[/tex]
[tex]y=\dfrac{1}{0.05}=20[/tex]
[tex]y=0[/tex]
[tex]x=\dfrac{1}{0.1}=10[/tex]
[tex](0,20)[/tex] and [tex](10,0)[/tex]
Graph the points and draw a line through them.
The shaded regions can be determined by substituting the point in the equations.
One of the solutions is [tex](5,10)[/tex]
This means there are 5 dimes and 10 nickels.
[tex]5+10=15\geq 15[/tex]
[tex]0.1\times 5+0.05\times 10=1\leq 1[/tex]
Hence, one of the solutions is [tex](5,10)[/tex].
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What's 6+2x^2 in factored form?
Answer:
2 ( x^2 + 3 )
Step-by-step explanation:
Write the equation in slope-intercept form 2x−8y=24
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
what is the measure of <x
Answer:
X=17
Step-by-step explanation:
73+x=90 90-73=17