Using a system of equations, the amounts of gems collected by each member is are given as follows:
Cecil: 13Alice: 40Jaime: 108Amir: 3Monte: 18.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: Number of gems collected by Cecil.Variable y: Number of gems collected by Alice.Variable z: Number of gems collected by Jaime.Variable t: Number of gems collected by Amir.Variable w: Number of gems collected by Monte.They collected a total of 182 gems, hence:
x + y + z + t + w = 182.
Alice collected 1 more than 3 times what Cecil did, hence:
y = 3x + 1.
Jaime collected 12 less than 3 times what Alice did, hence:
z = 3y - 12 = 3(3x + 1) - 12 = 9x - 9.
Amir collected 10 less than Cecil, hence:
t = x - 10.
Monte collected 5 more than Cecil, hence:
w = x + 5.
Replacing everything in the first equation, we can solve for x as follows:
x + y + z + t + w = 182.
x + 3x + 1 + 9x - 9 + x - 10 + x + 5 = 182.
15x = 195
x = 195/15
x = 13.
Hence the other variables are:
y = 3(13) + 1 = 40.z = 9x - 9 = 9(13) - 9 = 108.t = x - 10 = 13 - 10 = 3.w = x + 5 = 13 + 5 = 18.Thus the amounts of gems collected by each member is are given as follows:
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Eight friends went to the movies. Each ticket cost $6.75. How much did the tickets cost all together?
Answer:
$54
Step-by-step explanation:
6.75*8=54
Answer:54
Step-by-step explanation:8x6.75=54
4th Time asking. Aaaaaaaaaaah. Can nobody anwser this......?
PLEASE I DONT HAVE MUCH TIME LEFT.
Answer:
x=4
Step-by-step explanation:
We can see that points A,E, and D form a triangle.
Points A, C, and C also form a triangle.
These two triangles are similar, while [tex]\triangle ACB[/tex] has side lengths twice as long as [tex]\triangle ADE[/tex]. this means that
[tex]2x+2=4x-6\\2x=8\\x=4[/tex]
ayuda por favor no le entiendo
la 2. es multiplicand 20 por 18 da 360 y ese número se multiplicand por 500 da 180000 . 3se suma y da 1025 la.4 se reparte en 9625 a cada amigo
Mathematicians use multiplicand to calculate the merchandise of two or more numbers. it's a fundamental operation in mathematics that is frequently utilized in everyday life. once we need to combine groups of similar sizes, we utilize multiplicand. On this page, let's study more about multiplicand.
The fundamental concept of repeatedly adding the same number is represented by the process of the multiplicand. The results of multiplying two or more numbers are referred to as the product of those numbers, and therefore the factors that are multiplicand are referred to as the factors. Repeated addition of the identification number is made easier by multiplying the numbers.
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Loudres plans to jog at least 1.5 miles. write and solve an inequality to find x, the number of hours lopudres bwill have to jog.
The number of hours lopudres will have to jog is .4 hours.
Lord wants to run at least 1.5 miles, and her pace is shown in the picture as 3.75 miles per hour, and the question asks us to construct an inequality expressing x for the amount of hours she would have to run. To meet this inequality, we'll need to apply how quickly or how many miles she wants to cover with how fast she's going to run, so we'll divide 1.5 miles by her rate of 3.75 miles per hour, and when you divide you'll get a number of hours, which comes out to 0.4 hours.
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Make sense of problems. Determine the number , and explain how you came up with he solution
Answer:
5
Step-by-step explanation:
because 5x3=15
15 + 5 = 20
Answer:
5
Step-by-step explanation:
work backwards. Start with 20. minus 5 equals 15. Divide by 3 is 5.
double-check by going the other way.
5x3=15
15+5=20
if x is a positive integer, for how many different values of x is startroot startfraction 48 over x endfraction endroot a whole number?236
There are 3 whole number with different values of x.
What is a whole number?
All positive integers from 0 to infinity are included in the group of numbers known as whole numbers. The number line has these numbers. They are all genuine numbers as a result. Although not all real numbers are whole numbers, we may argue that all whole numbers are real numbers. As a result, the set of natural numbers plus zero may be used to define whole numbers. The category of whole numbers and the negative of natural numbers is known as integers. Thus, integers can be either positive or negative, including 0. Natural numbers, whole numbers, integers, and fractions all fall under the category of real numbers.
Whole numbers refer to all natural numbers, including '0,' in their entirety. Examples include: 0, 11,1,2,3,4 etc
As stated in the question,
Accordingly, "x" is a positive integer. In order for the value of [tex]\sqrt{\frac{48}{x} }[/tex]to be a whole number, we must determine how many alternative values there are for the variable "x".Then, in order to determine which values of "x" the given fraction is a square for, we must first locate them.
We are aware that the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Now, from the above factors of 48 only (3,12 & 48) of can give us a square number.
Therefore,
If x is 3 then [tex]\sqrt{\frac{48}{3} }[/tex]=[tex]\sqrt{16}[/tex]=4If x is 12 then[tex]\sqrt{\frac{48}{12} }[/tex]=[tex]\sqrt{4}[/tex]=2If x is 48 then[tex]\sqrt{\frac{48}{48} }[/tex]=[tex]\sqrt{1}[/tex]=1Hence, There are 3 whole number with different values of x.
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Using the chart in problem 1, what is the least place value of 0.24
Answer:
The thousandths place.
Step-by-step explanation:
4 is furthest away from the decimal on the right side and it is in the thousandths place.
jon and alex play a game where they each need to kick a ball into a net. they will each kick 11 balls, but alex has a slight edge, with a 60% chance of scoring to jon's 40%. what is the probability that jon will score exactly 8 times?
The probability of scoring a goal exactly 8 times by Jon is given by 0.0234. It is obtained using the prerequisite knowledge of binomial distribution and probability.
What is Binomial Distribution in Probability?
When each trial has a probability of occurring equally likely, then the number of trials or observations is outlined using the binomial distribution. The chance of observing a specific number of successful outcomes in a specific number of trials is determined by using the binomial distribution.
Calculation of the probability of the given event
Total no. of possible outcomes, n = 11
The probability that Jon will kick the ball in the net, p(x) = 0.4
The probability that Alex will kick the ball in the net, q(x) = 0.6
Using Binomial Distribution, we get,
P(x = r) = C(n,r) × (p)r × q(n - r)
where x is the score made by Joe
P(x = 8) = C(11,8) × (0.4)8 × (0.6)3
= 0.0234
Hence, the probability that Jon will score exactly 8 times is 0.0234.
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Which equation is true if b = 2?
2b + 24 = 30
3b - 2 = 4
B + 4 = 8
2b - 3 = 0
Answer:
2nd equation is correct.
Step-by-step explanation:
1) 2b + 24 = 30
→ 2(2) + 24 = 30
→ 4 + 24 = 30
→ 28 ≠ 30
Hence, it is false.
2) 3b - 2 = 4
→ 3(2) - 2 = 4
→ 6 - 2 = 4
→ 4 = 4
Hence, it is true.
3) B + 4 = 8
→ 2 + 4 = 8
→ 6 ≠ 8
Hence, it is false.
4) 2b - 3 = 0
→ 2(2) - 3 = 0
→ 4 - 3 = 0
→ 1 ≠ 0
Hence, it is false.
BRO ILL GIVE U 100 POINTS BRO PLEASE
The local gym holds two 45-minute workout sessions and four 30-minute sessions each week. Judy attended all of the sessions this week but left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions. How many total minutes did Judy work out for the week?
Answer:
170 minutes
Step-by-step explanation:
Weekly gym sessions:
Two 45-minute workout sessions.Four 30-minutes sessions.Therefore, the total time for all sessions is:
[tex]\begin{aligned}\implies \sf Total\:time & = \sf 2 \times 45 + 4 \times 30\\& = \sf 90 + 120 \\& = \sf 210 \:\:minutes\end{aligned}[/tex]
If Judy attended all sessions, yet
left 10 minutes early during the 45-minute sessions, andleft 5 minutes early during the 30-minute sessions.[tex]\begin{aligned}\implies \sf Total\:time\:Judy\:lost& = \sf 2 \times 10 + 4 \times 5\\& = \sf 20 + 20 \\& = \sf 40\:\:minutes\end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies \sf Total\:time\:Judy\:worked\:out & = \textsf{Total time of sessions}-\textsf{Total time Judy lost}\\& = \sf 210-40\\& = \sf 170\:\:minutes\end{aligned}[/tex]
So Judy worked out for a total of 170 minutes for the week
-12 < 7x + 9 < 16
What is the solution?
Answer:
-3<x<1
(-3,1)
Step-by-step explanation:
subtract 9 to all 3 sides to get -21<7x<7divide by 7 on all 3 sides to get -3<x<1it is shown as (-3,1) because x is anything inbetween -3 and 1 and those numbers are not included so you use ( ) as opposed to [ ]
what are the two next numbers in this sequence.
12,14,18,26,42, ,
Answer:
74 , 138
Step-by-step explanation:
12 + 2 = 14
14 + 4 = 18
18 + 8 = 26
26+16 = 42
42+32= 74
74+64 =138
please make my answer as brainelist
-15X(-3) please help
Answer:
45x
Hope this helps :)
Step-by-step explanation:
- 15x (- 3) = 45 x
Transformation that result in a change in the size of a figure are called ____.
Answer:
Transformation that result in a change in the size of a figure are called dilations.
Please Please help asap!!! Thank you
Step-by-step explanation:
well, the starting equation and the target format have been given.
let's do the multiplications and compare the target with the starting information.
from there we see what is different or missing.
x² + 14x + 13 = 0
and
(x - p)² = q
x² - 2px + p² = q
x² - 2px + (p² - q) = 0
now let's compare the different parts :
x² = x²
-2px = 14x
-2p = 14
p = -7
p² - q = 13
-7² - q = 13
49 - q = 13
36 - q = 0
q = 36
so, the square (x - p)² = (x + 7)² is completed when
x² + 14x + 49 = 0
but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :
x² + 14x + 13 + 36 = 36
x² + 14x + 49 = 36
(x + 7)² = 36
just as we calculated already above.
and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)
x + 7 = ±6
x1 = 6 - 7 = -1
x2 = -6 - 7 = -13
Given △XYZ with vertices X(2, 4), Y(6, 0), and Z(7, 2) what is its image after the composition
Translation: (x, y) → (x + 12, y + 4)
Translation: (x, y) → (x − 5, y − 9)
The image after the composition is X''(9, -1), Y'(13, -5), and Z''(14, -3)
How to determine the image after the composition?The vertices of the triangle are given as:
X(2, 4), Y(6, 0), and Z(7, 2)
The compositions of translations are given as:
Translation: (x, y) → (x + 12, y + 4)
Translation: (x, y) → (x − 5, y − 9)
So, we have:
Translation: (x, y) → (x + 12, y + 4)
X'(2 + 12, 4 +4), Y'(6 + 12, 0 + 4), and Z'(7 + 12, 2 + 4)
Evaluate
X'(14, 8), Y'(18, 4), and Z'(19, 6)
Translation: (x, y) → (x − 5, y − 9)
X''(14 - 5, 8 - 9), Y'(18 - 5, 4 - 9), and Z'(19 - 5, 6 - 9)
Evaluate
X''(9, -1), Y'(13, -5), and Z''(14, -3)
Hence, the image after the composition is X''(9, -1), Y'(13, -5), and Z''(14, -3)
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Kurt organized a bike race that was 84 miles long. All 469 riders completed the race. How many miles were biked in all?
Kurt organized a bike race that was 84 miles long. All 469 riders completed the race. 39,396 miles were biked in all
Kurt organized a bike race = 84 miles long
All 469 riders completed the race
miles were biked in all :
Total miles =84 Multiply By 469
=39,396 miles
39,396 miles were biked in all
Miles :
A mile is a unit of distance equal to 1760 yards or approximately 1.6 kilometers
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A 84-mile cycling race that Kurt planned took place. The race was completed by all 469 cyclists. All told, 39,396 miles were pedaled
Kurt planned an 84-mile cycling race.
The race was completed by all 469 cyclists.
total number of miles cycled:
Miles total = 84; multiply by 469.
=39,396 miles
All told, 39,396 miles were pedaled
Miles:
Approximately 1.6 kilometers or 1760 yards make up a mile as a unit of measurement.
1/4 divided by 2/6 in simplest form
Answer:
1/4*6/2=6/8
3/4
Step-by-step explanation:
Diven that 4x^3+x^(5/2) all over √x can be written in the form 4x^a+x^b, write down the value of a and the value of b
The value of a and the value of b is 6 and 5.
We can solve this problem by few steps, If we change the representation of power by replacing all powers according to √x or [tex] {x}^{1/2} [/tex]. We know that, [tex] {x}^{m/n × n/b } = {x}^{m/b} [/tex]
So, using this we can write, [tex] {4x}^{1/2 \times 6} + {x}^{1/2 \times 10/2} = {4 \sqrt{x} }^{6} + { \sqrt{x} }^{5} [/tex]..............(1)
Now if we compare the value of ( 1 ) with
[tex] {4 \sqrt{x} }^{a} + { \sqrt{x} }^{b} [/tex], we can easily find out the value of a and b and it is, a = 6 and b = 5
Thus, the value of a and b is 6 and 5.
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The complete question is -
Driven that 4x^ 3+x^ (5/2) all over √x can be written in the form 4√x^a+√x^ b, write down the value of a and the value of b.
Simplify the radical expression ∛81x^7y^9z^5. Show your work! Show the step-by-step process on how you got your answer so I can understand how to do it. Brainliest to the best answer that shows all steps!!
The simplified radical expression for this problem is given by:
[tex]3x^2y^3z\sqrt[3]{3xz^2}[/tex]
How to simplify the given radical expression?To simplify the given radical expression, we divide all the exponents by 3, and the ones that can be simplified are placed outside the root, multiplying.
Looking at each term, we have that:
81 is equivalent to 3^4, hence [tex]\sqrt[3]{81} = \sqrt[3]{3^4} = 3\sqrt[3]{3}[/tex], as 4 divided by 3 has quotient 1 and remainder 1.For x^7, we have that 7 divided by 3 has quotient 2 and remainder 1, hence [tex]\sqrt[3]{x^7} = x^2\sqrt[3]{x}[/tex].For y^9, we have that 9 divided by 3 has quotient 3, hence [tex]\sqrt[3]{y^9} = y^3[/tex]For z^5, we have that 5 divided by 3 has quotient 1 and remainder 2, hence [tex]\sqrt[3]{z^5} = z\sqrt[3]{z^2}[/tex].Thus, the simplified radical is given by:
[tex]3 \times \sqrt[3]{3} \times x^2 \times \sqrt[3]{x} \times y^3 \times z \times \sqrt[3]{z^2}[/tex]
[tex]3x^2y^3z\sqrt[3]{3xz^2}[/tex]
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Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
The equation of line is y= -1/4x + 2
What is Equation of line?The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.
The general form is [tex](y- y_1)= m(x - x_1)[/tex]
given:
line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
Here the slope of given line is 4.
So, the slope of perpendicular lines is
m = -1/4
Now, as the line passes through (-8, 4)
Then using
(y - y1) = m (x- x1)
y- 4= -1/4(x- (-8))
y-4 = -1/4 ( x+8)
y-4 = -1/4 x - 2
y= -1/4x + 2
Hence, the equation of line is y= -1/4x + 2.
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Answer: y= -1/4x + 2
Step-by-step explanation: chose the answer and got it right on my test
rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents. (1 point) three to the one third power all over three to the one sixth power
The expression with rational exponents as a radical expression by extending the properties of integer exponents is, [tex]\sqrt[6]{3}[/tex]
Define exponents for integers?The exponents that should be integers are those that are. It may be an integer that is either positive or negative. It specifies how many times the base number should be multiplied by itself using positive integer exponents.
Given:
The given expression is,
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6} } }[/tex]
We know that,
[tex]\frac{x^{a} }{x^{b}}= x^{a-b}[/tex]
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}} = 3^{\frac{1}{3}-\frac{1}{6}}[/tex]
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=3^{\frac{1}{6} }[/tex]
Therefore,
[tex]\frac{3^{\frac{1}{3}}}{3^{\frac{1}{6}}}=\sqrt[6]{3}[/tex]
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Please help with problem 26
Answer:
Step-by-step explanation:
Kinsley bought 8.01 ounces of chocolate. 3.89 ounces of it was milk chocolate and the
rest was dark chocolate. How much dark chocolate did Kinsley buy?
Answer:
4.12
Step-by-step explanation:
HELP QUICK PLS!!
A zoo feeds it’s monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit mass to biscuit mass.
The table below shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys.
Based on the ratio, complete the missing value in the tables.
The mass of the biscuit and fruit are 20 and 64 grams respectively.
How to use ratio to find the missing values in the tables?A ratio indicates how many times one number contains another.
Therefore, the ratio of fruits and biscuit the zoo fed the monkeys is 7:5.
let's find the total number of the items.
Hence, using the table and ratio,
number of fruits = 7 / 12 × x
number of fruits = 28
Therefore,
28 = 7x / 12
cross multiply
12 × 28 = 7x
336 = 7x
divide both sides by 7
336 / 7 = 7x / 7
x = 48
Hence,
mass of biscuit = 5 / 12 × 48
mass of biscuit = 20
The second missing value of the table,
mass of biscuit = 5 / 12 × x
45 = 5x / 12
5x = 504
x = 504 / 5
x = 108
Hence,
mass of fruit = 7 / 12 × 108
mass of fruit = 756 / 12
mass of fruit = 63
Therefore, the mass of the biscuit and fruit are 20 and 64 grams respectively.
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Answer:yes
Step-by-step explanation:fact
write the number in two other forms (fraction, decimals, or percent 19/20 9/16 0.4 0.22
Answer:
Hope this helps :)
19/20 = 95/100 = 95%
9/16 = 0.5625 = 56.25%
0.4 = 4/10 → 40/100 = 40%
0.22 = 22/100 = 22%
A blank number is a whole number greater than 1 that has more than two factors
A composite number is a whole number greater than 1 that has more than two factors
Given,
The conditions,
The number is a whole number greater then 1.Its has more than two factorsWe know, composite number is a number that has more than 2 factors
Prime number is a number that has two factors, one and itself.
Here, number is a whole number greater than 1 that has more than two factors
So, the given number is composite number
Hence, a composite number is a whole number greater than 1 that has more than two factors
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Hola, everyone! Zay here <3 just to make sure you are correct if you answer this question make sure you have an explanation , and a good one with that.
ex; you took the test and have proof you took it.
ex; explaining how you got your answer
also if you happen to need this "⎯⎯" you can just copy paste that and put it in the answer
that's all, thanks for reading this :D
Answer: $5.25
Step-by-step explanation:
Brianna bought 1 3/4 pounds of cheese
Each pound cost $3.00
1 3/4 x $3
Turn this into an improper fraction, you get 7/4
7/4 x $3
$21 over 4
Do the division, you get $5.25
Answer:
Step-by-step explanation:
1 pound price= 3 dollars
Then she has to pay= (7/4)*3 = 5.25 dollars
A basketball player makes 7/10 free throws. Based on her results, how many of her next 40 free throws will she not make
Answer: 12 free throws
Step-by-step explanation:
40 * 7/10=
280/10=28 free throws made
40-28=12 free throws missed
Please help me find the rule of this linear function:
x-intercept: (-3.667,0)
y-intercept: (0,5.5)
Step-by-step explanation:
what do you mean by "rule" ?
the line equation (in slope-intercept form ? or any other ?) ?
or only the slope of the line ?
I assume you need the slope-intercept line equation.
this looks like
y = ax + b
"a" is the slope of the line, "b" is the y-intercept (the y value when x = 0).
"b" we know already from the specified intercept points : 5.5
the slope of a line is simply the ratio
(y coordinate change / x coordinate change)
when going from one point on the line to another.
and the axis-intercept points are points on the line too. so, we can use them.
so, we see
x changes by +3.667
(= 3 2/3 = 3×3/3 + 2/3 = (3×3 + 2)/3 = 11/3)
from -3.667 to 0.
y changes by +5.5
(= 5 1/2 = 5×2/2 + 1/2 = (5×2 + 1)/2 = 11/2)
from 0 to 5.5
the slope is therefore
5.5 / 3.667 = 11/2 / 11/3 = 11/2 × 3/11 = 3×11 / 2×11 = 3/2
and so, the line equation is
y = 3/2 x + 5.5
or
y = 3/2 x + 11/2 = 1/2 × (3x + 11)