Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
Penny makes $5,400 a month plus commission. She gets 3% of everything she sells. If Penny sold $62,000 worth of items this month, what is her salary for the month?
Answer:
Her salary for the month = $7260
Step-by-step explanation:
Amount sold = $62,000
Percentage rate = 3%
Salary from commission rate = Amount sold × Percentage rate
= $62,000 × (3 / 100) = $1860
Total salary = Base salary + Salary from commission rate
= $5,400 + $1860
= $7260
Therefore, her salary for the month = $7260
A line passes through the points (1, 10) and (0, 2). What is its equation in slope-intercept
form?
________the answer is Y=8X+2___________
Step-by-step explanation:
_
A student needs 3/4 pounds of modeling clay for a project. If each package has 1/8 pounds of clay how many packages of clay does the student need for his project
Answer:
6 packages
Step-by-step explanation:
Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.
8 * 0.75 = 6
This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.
CORRECT ANSWER GETS BRAINLIEST!!!!!!!!
I!!!!!!! NEED!!!!!! HEEELLLPP!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Make a equation like 3m+10=37 and solve for m
Answer:
Elena walked 9 miles, Jada walked 13 miles, and Jin walked 15 miles.
Step-by-step explanation:
If you add the rectangles together, you get 3m + 10 = 37, so m = 9, and from then, you can add the number together to get the answers
i need help with this
Answer:
We conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]
since the denominators are equal, combine the fractions:
[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]
simplify
[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Therefore, we conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
simplify 1+4/x / 1-16 x^2
1+4/x x + 4
------------ = -------------
1-16 x^2 x(-4x + 1) (4x + 1)
hope this helps, it probs won't but-
Answer: [tex]\frac{x+{4} }{x - 16x^{3} }[/tex]
Steps:
[tex]\frac{1+\frac{4}{x} }{1-16x^{2} }[/tex][tex]\frac{\frac{x}{x} +\frac{4}{x} }{(1-4x)(1+4x) }[/tex] (get common denominator (x) for top and factor bottom)[tex]\frac{x+{4} }{x(1-4x)(1+4x) }[/tex] (add numberator, then move x to denominator)[tex]\frac{x+{4} }{(x-4x^{2} )(1+4x) }[/tex] (multiply x and (1-4x) )[tex]\frac{x+{4} }{x+4x^{2} - 4x^{2} - 16x^{3} }[/tex] (FOIL denominator)[tex]\frac{x+{4} }{x - 16x^{3} }[/tex] (simplify)Sorry about the delay. Hope this helps!
Geometry: If you are right I'll give brainliest
Answer:
Step-by-step explanation:
Looks like we both struggle with geometry
En un triángulo rectángulo, uno de los ángulos agudos mide 25 grados. ¿Cuanto mide el otro ángulo?
Answer:
Step-by-step explanation:
Si
The measure of the other acute angle in the right triangle is 65 degrees.
In a right triangle, one of the acute angles measures 90 degrees, which is the right angle. The sum of the measures of the two acute angles in a right triangle is always 90 degrees.
Given that one of the acute angles measures 25 degrees, we can find the measure of the other acute angle by subtracting 25 degrees from 90 degrees:
Measure of the other acute angle = 90 degrees - 25 degrees
Measure of the other acute angle = 65 degrees
Therefore, the measure of the other acute angle in the right triangle is 65 degrees.
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The question is in Spanish the question in English is :
In a right triangle, one of the acute angles measures 25 degrees. What is the measure of the other angle?
9 divided by 2/3 - 7/12
answer quick pls
!!!
A tire has a radius of 12 in. If that tire makes one full rotation how far does it travel?
5 rotations?
10 rotations?
Help
Which statement can be used to disprove the conjecture?
Conjecture: The square of any integer is positive.
Answer:
conjecture= the subject
A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?
Step-by-step explanation:
A computer software company models its profit with the function :
[tex]P(x) = x^2 + 15x -34[/tex] ....(1)
Where
x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.
We need to find the number of games the company sell to get $16,000 in profit.
Put P(x) = 16,000 in equation (1).
[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]
Using quadratic formula with a=1, b=15, c=-16034.
[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]
Neglecting negative value,
No of games = 134 (approx)
How many Solutions does p + 9 = 2p - 3 have?
Answer:
P=12
Step-by-step explanation:
Phil started playing baseball on with a minor league team. When signing, he earned a $65 signing bonus. For each game he plays he earns $115. Write an equation in slope-intercept form to model this scenario. *
Answer:
y=115x+65
Step-by-step explanation:
He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.
The y-intercept is 65 because after signing, he earns $65 for free.
Hope I helped! Good Luck!
A snack mix recipe uses a radio of 3/4 pound of dried apples to 1/2 pound of dried pears. What amount of dried apples would be needed per pound of dried pears?
Answer:
[tex]1\frac{1}{2}\:\mathrm{or\:}1.5\:\mathrm{pounds}[/tex]
Step-by-step explanation:
The current ratio is 3/4 pound of dried apples per 1/2 pound of dried pears. Since the new amount of dried pears is 1 pound or double the initial amount, the new amount of dried apples will be double the initial amount:
[tex]\frac{3}{4}\cdot 2=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\:\mathrm{pounds}[/tex].
i am in middle school
Answer:
1. The 12 pack
2. Sargento cheese slices
Step-by-step explanation:
1.
1.80×2=3.60
2.
2.48/10 = .248 → .25
Please helpppp........,
pleassssssssssss i need help
Valerie Watkins is preparing walnut and raisin mix. Walnuts cost $2 per pound and raisins cost $3 per pound. She wants to spend exactly $22.50 for the walnut and raisins, and buy a total of 10 pounds. Solve the linear system where x represents the number of pounds of walnuts and y represents the pounds of raisins. How many pounds of walnuts will she need to buy? X + y = 10 2x + 3y = 22.5
Answer:
7.5 pounds
Step-by-step explanation:
multiply by 3.
3x+3y=30
2x+3y=22.5.
x=7.5.
7.5+2.5=10.
7.5 pounds of walnuts, 2.5 pounds of raisins.
Hope this helps :D
please help me solve 9x-27=
Answer:
x = 3
Step-by-step explanation:
9x - 27 =?
+27 +27
9x = 27
divide both sides by 9
x = 3
Hope this Helps!!!
Need help i will mark brainliest
Answer:
6 sq. in
Step-by-step explanation:
To find area of triangle: base* height *1/2
height needs to be at a 90 degree angle from the base.
In this example, the base is 3 in, and the height is 4 in.
Plug these two into the equation
3 * 4 * 1/2 = 12 * 0.5 = 6
Determine the value of x.
Answer:
The value of x is 14.75 ⇒ (2)
Step-by-step explanation:
If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)In the given figure
∵ The vertices of the quadrilateral BCED lie on the circumference of circle A
→ By using the 1st rule above
∴ BCED is a cyclic quadrilateral
∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED
→ By using the 2nd rule above
∴ m∠B + m ∠E = 180°
∵ m∠B = 6x + 10
∵ m∠E = 81.5°
∴ 6x + 10 + 81.5° = 180°
→ Add the like terms on the left side
∴ 6x + 91.5 = 180
→ Subtract 91.5 from both sides
∵ 6x + 91.5 - 91.5 = 180 - 91.5
∴ 6x = 88.5
→ Divide both sides by 6 to find x
∴ x = 14.75
4/3(6y+21)-17>43 help pls
Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
20 points Help I will mark brainliest
Answer:
The answer ia option 2
Step-by-step explanation:
When a line is parallel to the other line, they will have the same slope (gradient).
The new equation will be y = (1/4)x + b.
Next, you have to find the value of b, by substituting the coordinates into the equation :
[tex]y = \frac{1}{4} x + b[/tex]
[tex]let \: x = - 4,y = - 2[/tex]
[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]
[tex] - 2 = - 1 + b[/tex]
[tex]b = - 1[/tex]
6. Create an equation and solve for n.
5n - 11
Answer:
11-n=5
Step-by-step explanation:
whats 13/12 as a mixed number?
The required solution in mixed form is,
⇒ 1 1/12
We have to given that,
To change the fraction 13/12 into mixed number.
We know that,
Mixed fraction is written as,
a b/c
Where, a, b and c are whole number.
Here, Fraction is,
13 / 12
After divide,
1 1/12
Therefore, The required solution in mixed form is,
⇒ 1 1/12
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ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
help me plz plz will mark branliest
Step-by-step explanation:
On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.
Please help I’ll give u 5 points
Answer:
1/2cup
as if 3and1/2cup is divided into 4people then in every one will get half cup.
Answer:
Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.
Step-by-step explanation:
The problem is essentially asking;
[tex]3\frac{1}{2}[/tex] ÷ 4
(4 because the pudding has to be divided amongst Regina and her 3 friends, hence 4 people)
To divide fractions, first one has to convert from improper fractions to mixed numbers;
[tex]\frac{7}{2}[/tex] ÷ 4
Next, one has to reciprocate the second fraction, since the second number is an integer, one simply has to put the number as the denominator, and set the numerator to 1.
[tex]\frac{7}{2}[/tex] * [tex]\frac{1}{4}[/tex]
Now, one has to perform the multiplication, simply multiply the numerators and denominators together (there is no way of simplifying in this problem);
[tex]\frac{7}{8}[/tex]
Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.
Help cri cri will give brainly
Answer:
7/6
Step-by-step explanation:
trust me i promise this is right