Answer:
(11/9, 26/9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
5x + y = 9
10x - 7y = -8
Step 2: Rewrite Systems
Manipulating: Equation 5x + y = 9
Subtract 5x on both sides: y = 9 - 5xStep 3: Redefine Systems
y = 9 - 5x
10x - 7y = -8
Step 4: Solve for x
Substitution
Substitute in x: 10x - 7(9 - 5x) = -8Distribute -7: 10x - 63 + 35x = -8Combine like terms: 45x - 63 = -8Add 63 on both sides: 45x = 55Divide 45 on both sides: x = 11/9Step 5: Solve for y
Define equation: 5x + y = 9Substitute in x: 5(11/9) + y = 9Multiply: 55/9 + y = 9Isolate y: y = 26/9Is 15/3=y7 a true proportion
Answer:
The proportion is true.
We are given the following proportion and we are to determine whether it is a true proportion or not:
Finding the value of y:
So now we have
Checking if it is a true proportion:
Since the simplified fractions are equivalent, therefore the proportion is true.
Step-by-step explanation:
The area of a rectangle is 55m ^ 2 , and the length of the rectangle is 4 m less than three times the width . Find the dimensions of the rectangle.
Answer:
Length: 11m
width: 5m
Step-by-step explanation:
Mrs John Buy 24 package of napkins for a school fair each package contained 200 napkins how many napkins are there in all
Answer:
4,800
Step-by-step explanation:
200 x 24=4,800
ANSWER ASAP!!!!!!!!!!!!!!!
2-2x=?
By what percent will the product of two numbers if one of them is increased by 30% and the other is decreased by 30%
Answer:
I would need the number that is being increased by 30% to get the answer.
Step-by-step explanation:
Sorry
What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?
2/3
1
8
3/2
Answer:
r = 3/2
Step-by-step explanation:
The common ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence ([tex]a_{n} =a_{n-1}*r[/tex]). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get [tex]r=\frac{a_{n}}{a_{n-1}}[/tex]). If we take 24 and divide it by 16, we get the common ratio of 3/2 ([tex]r=\frac{24}{16}[/tex], [tex]r=\frac{3}{2}[/tex]). Hope this helps.
2/3 times 3/4
What is the answer?
Answer:
6/12 simplified: 1/2
Step-by-step explanation:
You just multiply the numerator by the numerator and the denominator by the denominator... 2x3 and 3x4
Hope you understand... if you have any questions just message in the box : D
Answer:
the answer is 0.5. does that help at all? :D
Translate the sentence into an equation. Twice the difference of a number and 8 is 9. Use the variable w for the unknown number.
Answer:
[tex]2(w-8)=9[/tex]
Step-by-step explanation:
N/A
Michael bought two tickets to a zoo. After she bought the tickets her account balance for a change of -$33.04 what would’ve been the change to her account balance had she only bought one ticket to the zoo?
A.-16.52
B.16.52
C.16.50
D.-16.50
what is -15/16÷7/12= k
Solve for k
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
k= −45/28
Decimal Form:
k=−1.60714285…
Mixed Number Form:
k= −1 17/28
so its the top one :)
The ratio of Boy students to Girl
students is 8:9. There's 270
student Girls. How many Boys
are there?
Answer:
240 boys
Step-by-step explanation:
boys/girls = 8/9 = boys/270
so just multiply
boys= 8/9 x 270 = 240
Answer:
240
Step-by-step explanation:
270 * 8/9 = 240
so 240:270 is equivalent to 8:9
How far a car goes in 30 seconds at speed of 29m/s
Answer:
i think it goes 870m/s
Step-by-step explanation:
30x29=870
Please help hurry please. also show how you get the answer.
Answer:
Answer is D
Step-by-step explanation:
-4(9x-2)+3=-36x+8+3=-36x+11
please help me please help me please
Answer:
Pull.
Step-by-step explanation:
Because the person is bringing the cart closer to himself, it is a pill force.
Hope this helps
Identify the property demonstrated.
4(3+5) = 4.3 +4.5
-associative property of
multiplication
-commutative property of multiplication
-distributive property
-identity property of multiplication
Answer:
Distributive property
Step-by-step explanation:
A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcorn cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15 players?
Round to the nearest cent.
$34.05
$42.72
$7,661.25
$9,611.25
Answer:
34.05
Step-by-step explanation:
Subtract 65 from 575.75 and then divide that number by 15
A line is graphed below.
Write an equation in the form y = mx + b that represents this line
Answer:
y= -2x+ 3
Step-by-step explanation:
solve pls? 4-7.
Explain or show your reasoning:
Answer:
its -3
Step-by-step explanation:
Answer:
4 - 7 = - 3 because if you use the number line and start at 4 and go back 7 times you'll get -3 (not the best explanation sorry)
If a factory can produce 800 newspaper in 15 minutes how many newspapers will it produce in 2 hours
Answer:
it will produce 6400 newspapers
Step-by-step explanation:
800 x 8 = 6400
Each algorithm is applied to a group of 52 sample problems. The new algorithm completes the sample problems with a mean time of 24.04 hours. The current algorithm completes the sample problems with a mean time of 24.52 hours. The standard deviation is found to be 5.769 hours for the new algorithm, and 5.556 hours for the current algorithm. Conduct a hypothesis test at the 0.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm.
Answer:
Therefore we fail to reject the Null hypothesis [tex]H_0[/tex]
Because the is no sufficient evidence to support the claim of the alternative hypothesis [tex]H_a[/tex]
Step-by-step explanation:
From the question we are told that
Sample size [tex]n_1 =52[/tex]
Mean time 1 [tex]\=x_1=24.04\ hours[/tex]
Mean time 2 [tex]\=x_2=24.52\ hours[/tex]
Standard deviation [tex]\partial _1=5.769[/tex]
Standard deviation [tex]\partial _2=5.556[/tex]
Level of significance 0.05
The null hypothesis is [tex]H_o: \mu_1=\mu_2[/tex]
Alternative hypothesis [tex]H_a: \mu_1<\mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]Z= \frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]
[tex]Z= \frac{24.04-24.52}{\sqrt{\frac{5.769^2}{52}+\frac{5.5562^2}{52}}}[/tex]
[tex]Z= -0.4321583379[/tex]
[tex]Z= -0.43[/tex]
From Table the Z-critical value at [tex]\alpha =0.05\ is\ -1.6449[/tex]
Therefore
Zcal> Zcritical
(-0.43)=(-1.645)
Generally we fail to reject the null hypothesis [tex]H_0[/tex] at [tex]\alpha = 0.05[/tex]
Therefore we fail to reject the[tex]H_0[/tex]
Because the is no sufficient evidence to support the claim of [tex]H_a[/tex]
Kyle types college reports for $2.05 per page. He also charges $6 to cover the cost of supplies
A. Write and expression for total earnings for typing p pages.
B. Evaluate the expression for a 25-page report.
Which graph best represents the equation 12x+6y=0?
Answer:
Y=-2x
Step-by-step explanation:
Answer:
Step-by-step explanation:
graph A
Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
The diameter of a circle is 15 cm. Find its circumference in terms of Pi
Answer:
C≈47.12cm
Step-by-step explanation:
Can someone give methe correct answer with work please, need help. I will give brainlist!!!!
Answer:
Option B is the correct answer
Step-by-step explanation:
Option B is the correct answer
[tex] \Sigma_{k=0}^\infty\frac{3}{k(k+2)}[/tex]
Please help I'm not the brightest.
Discounts and what is the outcome
Answer:
with discount+tax= $23.15
Step-by-step explanation:
board game is 25
discount: 15%
tax: 7.5%
discount means you take off that amount
tax means you add that amount
discount: 15% off
tax: +7.5%
to find 15% of 25 multiply 25 by 15% (15/100=0.15)
25*0.15
= 3.75
then subtract that from 25
25-3.75
=21.25
tax:
0.075*25
=1.875
~1.9
21.25+1.9
=23.15
The length of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible lengths of the third side of the triangle
Answer:
if im not mistaken it is 10
Step-by-step explanation:
Triangle ABC is a right triangle.
B
What is the length of AC?
20
Ο Ο Ο Ο
21
40
58
Which point on the number line below represents a value of 0.75?
Answer:
Point C
Step-by-step explanation:
Each of the lines are counted by 5 and if counting carefully, C would be 0.75, or, 3/4
Point C on the number line below represents a value of 0.75.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
To find point on the number line which represents a value of 0.75..
Now, We get;
Point A = 0.3
Point B = 0.55
Point C = 0.75
Thus, Point C on the number line below represents a value of 0.75.
Learn more about the coordinate visit:
https://brainly.com/question/24394007
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