It costs $45 for 3 xylophones and 3 yo-yo's. If you purchased 5 xylophones and
6 yo-yo's, it would cost $80. Set up a system of equations and solve for the
cost of a single xylophone and a single yo-yo.
Step-by-step explanation:
xylophone : x
yo-yo : y
3x + 3y = 45 —(1)
5x + 6y = 80 —(2)
(1)*2 : 6x + 6y = 90 —(3)
(3)-(2):
6x + 6y = 90
-(5x + 6y) = 80
x =10 — (4)
Sub (4) into (1)
3(10) + 3y = 45
30 + 3y = 45
3y = 45-30
y = 15/3
y = 5
Write an
expression to represent the following:
The product of six and a number x.
Answer: 6(x) or 6 x 2(x)
Step-by-step explanation:
The product of 6 and a number x is equal to 6x.
Do you guys know how to solve with equation?
Answer:
{-8, 3/4}
Step-by-step explanation:
One by one, set the factors equal to zero and solve for v:
8 + v = 0 yields v = -8, and
4v - 3 = 0 yields 4v = 3 and v = 3/4
Match each expression in the first list with an equivalent expression from the second
list.
A. 7(x + 2) - x + 3
B. 6x + 3 + 4x + 5
C. 3x – 7 + 3x - 3
D. 8x -5 +4-9
E. 24x + 36
1. 1/5x - 10
2. 6x + 17
3. 2(5x + 4)
4. 12(2x + 3)
5. 8x + (-5) +4 + (-9)
PLEASE HELP!! I’ll give brainliest to most useful answer :)
The equivalent expression is shown below.
What is expression?An expression is a set of terms combined using the operations +, – , x or /.
A. 7(x + 2) - x + 3
=7x+14-x+3
=6x+17
B. 6x + 3 + 4x + 5
=10x+8
= 2(5x+4)
C. 3x – 7 + 3x - 3
=6x-10
= 2(3x-5)
D. 8x -5 +4-9
=8x + (-5) +4 + (-9)
E. 24x + 36
= 12(2x + 3)
Learn more about expression here:
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Can someone help me
Answer:
b. the slopes of both functions are positive
Step-by-step explanation:
hope this helps :)
Answer:
C. The slope of function A is positive and the slope of function B is negative.
Step-by-step explanation:
For this problem, you need to determine the slope of each function.
For function A:
You're given y = (1/4)x - 2/3, which is in slope-intercept form y = mx + b. The slope of an equation in slope intercept form is given by m.
So the slope for function A is 1/4.
For function B:
You're given a list of (x, y) points, so use the definition of the slope = [tex]\frac{y2-y1}{x2-x1}[/tex], which gives you the slope from any two (x, y) points on the line. Let's take the first and second points (2, -8) and (4, -9)
Slope = [tex]\frac{-9-(-8)}{4-2} = \frac{-1}{2}[/tex].
Therefore, the slope of function A is positive and the slope of function B is negative.
solve - 2 1/3 - ( - 5) =
Help me please
Answer:
7.33
Step-by-step explanation:
I need help again different question tho
Answer:
44u-36
Step-by-step explanation:
Apply the distributive property.
−6(−7u)−6⋅6+2u
Multiply −7 by −6.
42u−6⋅6+2u
Multiply −6 by 6.
42u−36+2u
Add 42u and 2u.
44u-36
if there is 21 marbles in a jar how many marbles would it hold of its full
Answer:
It would hold 30 marbles in total
use the table to write a proportion
Answer:
n = 17
[tex]\frac{n}{85}= \frac{34}{170}[/tex]
Step-by-step explanation:
[tex]\frac{n}{85}= \frac{34}{170}[/tex]
n · 170 = 34 · 85
170y = 2890
170y ÷ 170 = 2890 ÷ 170
y = 17
6 grade math help me pls
Answer:
Median
Step-by-step explanation:
It is symmetric so you have a much easier way to find the middle numbers.
The triangle P(1.-4), U(5,0) and N(2, 1) is reflected over the y-axis. What are the coordinates of the new points?
P
1-14
Answer:
Step-by-step explanation:
Reflection of x axis
1) the new points have the same x coordinates
2) the new point have the opposite y coordinates
P (1;4) ; U (5;0) ; N(2;-1)
problem of volume that equals 9 work please
Step-by-step explanation:
l=1
b=3
h=3
l×b×h
9 is the vol
Evaluate the expression for a = 10 and b = 12.
a+4(b−3)
Answer:
46
Step-by-step explanation:
a + 4(b - 3)
Substitute the values for a and b.
10 + 4(12 - 3)
Subtract inside the parenthesis.
10 + 4(9)
Multiply.
10 + 36
Add.
46
Simplify.
Multiply and remove all perfect squares from inside the square roots. Assume b is positive.
Answer:
216*b^2
Step-by-step explanation:
first, remember that:
a*√b = √(a^2*b)
√a*√b = √(a*b)
[tex]b^n*b^m = b^{n + m}[/tex]
[tex](b^n)^m = b^{n*m}[/tex]
Now, our expression is:
[tex]2*\sqrt{8*b^3} *9*\sqrt{18*b} = (2*9)*\sqrt{8*b^3}*\sqrt{18*b}[/tex]
Where in the right I rewrite the expression so it is easier to work.
Now we can use the second property of the above ones, to have:
[tex]18*\sqrt{8*b^3*18*b} = 18*\sqrt{(8*18)*b^{3 + 1}} = 18*\sqrt{144*b^4}[/tex]
And we know that:
[tex]\sqrt{x} = x^{1/2}[/tex]
Then:
[tex]18*\sqrt{144*b^4} = 18*(144*b^4)^{1/2} = 18*\sqrt{144}*(b^4)^{1/2}[/tex]
and 12*12 = 144, then:
[tex]18*\sqrt{144}*b^{4*1/2} = 18*12*b^2 = 216*b^2[/tex]
‼️20 points HURYYY‼️⚠️
Correct answers only or I won’t pass and graduate this year!!!!
(Other “answers” will be reported)
Answer:
2 days
Step-by-step explanation:
the graph?????
What is the solution to the inequality -3x - 5 < -20?
Answer: x>5
Step-by-step explanation: Hope this help :D
You pick a card at random. 4 5 6 What is P(4)? Simplify your answer and write it as a fraction or whole number.
Answer:
4/p
Step-by-step explanation:
4/p=4overp
The number of marbles of different colors stored in a hat is listed below:
4 red marbles
10 green marbles
7 blue marbles
Without looking in the hat, Dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that Dan takes out a blue marble in both draws?
2/21
1/9
1/2
2/3
Answer:
The answer would be a 1/9 chance of him picking two blue marbles in a row.
This is for the little kids what is the answer for 200-500
Answer:
-300
Step-by-step explanation:
I need
41
50
of fuel in %
Answer:
82%
Step-by-step explanation:
Samuel pays $825 for rent and utilities each month. His lease lasts for another 4 months. He has $4,750 in his savings account and $245 in his checking account. He is renting a washer and dryer for $37.25 a month and has 7 months left on the rental contract. Samuel has 3 mountain bikes that are valued at a total of $2,090. His gym membership costs $79.95 per month, and he has 6 more payments left. Use this information to find Samuel’s net worth.
Answer:
10.38293Step-by-step explanation:
Subscribe to lance MobsterThe gates of an amusement park are closely monitored to determine whether the number of
people in the amusement park ever poses a safety hazard.
On a certain day, the rate at which people enter amusement park is modeled by the function
e(x) = 0.03x3 + 2, where the rate is measured in hundreds of people per hour since the gates
opened. The rate at which people leave the amusement park is modeled by the function
l(x) = 0.5x + 1, where the rate is measured in hundreds of people per hour since the gates
opened.
What does (e – l)(4) mean in this situation?
Answer:
Maybe how many people are in the park
For given situation, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.
What is a function?"It is an expression that defines a relationship between one variable and another variable."
For given example,
the rate at which people enter amusement park is modeled by the function
[tex]e(x) = 0.03x^3 + 2[/tex]
where the rate is measured in hundreds of people per hour since the gates opened.
The rate at which people leave the amusement park is modeled by the function
[tex]l(x) = 0.5x + 1[/tex]
where the rate is measured in hundreds of people per hour since the gates opened.
First we find the subtraction of functions [tex](e-l)(x)[/tex].
[tex]\Rightarrow (e-l)(x)=e(x)-l(x)\\\\\Rightarrow (e-l)(x)=0.03x^3 + 2-(0.5x + 1)\\\\\Rightarrow (e-l)(x)=0.03x^3+2-0.5x-1\\\\\Rightarrow (e-l)(x)=0.03x^3-0.5x+1[/tex]
For x = 4,
[tex]\Rightarrow (e-l)(4)=0.03(4)^3-0.5(4)+1\\\\\Rightarrow \bold{(e-l)(4)=0.92}[/tex]
As, the rate is measured in hundreds of people per hour
So, (e - l)(4) means, there are 92 people in the amusement park 4 hours after the gates open.
Lean more about function here:
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Find the slope of the line which is perpendicular to a line having a slope of 5/7
Answer:
-7/5
Step-by-step explanation:
5/7
= -7/5
Jessica purchased 30 dolls and play trucks for the play school. Each doll costs $5 and each playtruck costs $10. How many dolls
and play trucks did she buy for $200?
Answer:
16 dolls and 12 trucks
Step-by-step explanation:
simple math
y = 2x + 1
y = 4x - 1
Solve by graphing
Answer:
See attached graph
Step-by-step explanation:
Because both expressions are equal to y, they'll intersect each other at a certain point, which is the solution to the system of equations. In this case, as shown by the graph, the point of intersection is (1,3) which means x=1 and y=3.
it is multiple choice and i know 100% that the answer is no, but i dont know the answer for the solution part
Answer:
NO
NO SOLUTION
Step-by-step explanation:
2t + 2e = 11 eqn 1
t + e = 6.5 eqn 2
this can be solved using simultaneous equation
Multiply eqn 2 by 2
2t + 2e = 13
subtract eqn 1 from2
0 + 0 = 2
there is no solution
Graph each quadratic equation using a table of values. Identify all key characteristics.
1. y = x2 + 10x + 26
.
J
Axis of Symmetry:
4
T
Vertex:
Domain:
Range:
..
Answer:
See graph below
Step-by-step explanation:
The domain is (-∞,∞) and the range is [1,∞)
Select all of the expressions that are equivalent
to 18x+6.
Answer:
6(3x+1)
To check
6×3x=18x
6×1=+6
Answer:
1st, 2nd, 5th
Step-by-step explanation:
Please give me BRAINLIEST and THANKS lol
Scores on an IQ test are normally distributed. A sample of 25 IQ scores had standard deviation of 8. The developer of the test claims that the population standard deviation of 15. Do these data provide sufficient evidence to significance? Use =0.05α=0.05 . Test by using a confidence interval. Show step1-step3.
Answer:
Yes, the data provides sufficient evidence at 0.05 level of significance
Step-by-step explanation:
n = 25
s = 8
σ = 15
χ² = (n - 1)s² / σ²
χ² = (25 - 1)*8² / 15²
χ² = (24 * 64) / 225
χ² = 6.827
The critical value at 0.05 ; df = 25 - 1 = 24
12.4012 and 39.3641
Reject H0 if χ² < 12.4012 or if χ² > 39.3641
Since,
χ² < 12.4012 ; We reject H0 ;
A 2-yard piece of cotton cloth costs $1.32. What is the price per foot?
Answer:
$0.22 per foot
Step-by-step explanation:
So for context, 1 yard is 3 feet. So 2 yards is 6 feet. With this, by dividing $1.32 by 6, you can get the price per foot:
1.32 / 6 ---> $0.22 per foot.