Answers
Answer:
[tex]x=\frac{15+\sqrt{165} }{6}, \frac{15-\sqrt{165} }{6}[/tex]
These should be the the two values for x
Explanation:
Related Questions
x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.
Answers
There are 40 people at a party. If 8 boys leave and 2 girls come, then the number of boys will be equal to the number of girls. Find the initial number of boys and girls.
Answers
Answer:
25 boys, 15 girls
Step-by-step explanation:
You can setup 2 equations where b is the number of boys and g is the number of girls to get [tex]b+g=40[/tex] and [tex]b-8=g+2[/tex]. Simplifying the second equation gets you [tex]b-10=g[/tex] insert [tex]b-10[/tex] for g in the first equation to get [tex]2b-10=40[/tex]. Simplify this equation to get [tex]b=25[/tex]. To find the number of girls, substitute 25 for b in the first equation to get [tex]g=15[/tex]
what kind of angles are 2 and 6
Answers
Answer:
A. corresponding
Step-by-step explanation:
Corresponding angles are angles that lie on top of two parallel lines.
Alternate interior angles are angles that lie on two sides of parallel lines and are mostly located with one angle up and one angle down.
Same side interior angles are angles within two parallel lines.
Answer:
corresponding angles
Step-by-step explanation:
∠ 2 and ∠ 6 are corresponding angles because each is in the same position ( upper right- hand corner ) in its group of 4 angles.
Look at the photo pick A B C D either one explanation not needed thank you! <3
Answers
Answer:
A
Step-by-step explanation:
-5 i s greater than -2.
Nope that aint true
-2 is greater than -5 is correct since -2 is closer to the postivie numbers and zero.
-5 is farther so it is less than -2.
The goal of a good budget plan is to save at least
a) 5% of your monthly earnings
b) 10% of your monthly earnings
c) 20% of your monthly earnings
Answers
Answer:
10% of your monthly earning
What is the value of 12⁰?
Answers
Answer:
1
Step-by-step explanation:
Anything to the power of zero is = 1
Answer: the answer is 1
Step-by-step explanation:
What’s the area and perimeter
Answers
Answer:
Step-by-step explanation:
1. ✔️Using Pythagorean Theorem, thus the missing length, x, would be:
x² = 19² - 17² = 72
x = √72
x = 8.5 (nearest tenth)
✔️Area = ½*b*h
b = 17
h = 8.5
Area = ½*17*8.5 = 72.25 units²
✔️Perimeter = 19 + 17 + 8.5 = 44.5 units
2. ✔️Using Pythagorean Theorem, thus the missing length, x, would be:
x² = 5² + 13² = 194
x = √194
x = 13.9 (nearest tenth)
✔️Area = ½*b*h
b = 13
h = 5
Area = ½*13*5 = 32.5 units²
✔️Perimeter = 13 + 5 + 13.9 = 31.9 unit
3. ✔️Using Pythagorean Theorem, thus the missing length, x, would be:
x² = 20² - 10² = 300
x = √300
x = 17.3 (nearest tenth)
✔️Area = ½*b*h
b = 17.3
h = 10
Area = ½*17.3*10 = 86.5 units²
✔️Perimeter = 17.3 + 10 + 20 = 47.3 unit
4. ✔️Using Pythagorean Theorem, thus the missing length, x, would be:
x² = 5² + 14² = 221
x = √221
x = 14.9 (nearest tenth)
✔️Area = ½*b*h
b = 14
h = 5
Area = ½*14*5 = 35 units²
✔️Perimeter = 14.9 + 14 + 5 = 33.9 unit
use the matrix tool to solve the system of equations choose the correct ordered pair4x-y=10 and 8x+5y=34
Answers
Answer:
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]
Solution of the given system of equations
x = 3 and y= 2
Step-by-step explanation:
Step(i):-
Given system of equations are
4x - y = 10 ...(i)
8x +5y = 34...(ii)
The matrix form
A X = B
[tex]\left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]
Step(ii):-
By using matrix inversion method
[tex]A^{-1} = \frac{1}{|A|} adj A[/tex]
|A| = ad-b c = 4(5) - 8(-1) = 20+8 = 28
Given matrix
[tex]A = \left[\begin{array}{ccc}4&-1\\8&5\\\end{array}\right][/tex]
[tex]AdjA = \left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]
[tex]A djA = \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]
Inverse of the matrix
[tex]A^{-1} = \frac{1}{|A|} adj A[/tex]
[tex]A^{-1} = \frac{1}{|A|} A djA =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right][/tex]
Step(iii):-
The solution of the given system of equations by using matrix inversion method
X = A⁻¹ B
[tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5&1\\-8&4\\\end{array}\right]\left[\begin{array}{ccc}10\\34\\\end{array}\right][/tex]
[tex]X = A^{-1}B =\frac{1}{28} \left[\begin{array}{ccc}5X10+1X34\\-8X10+4X34\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\frac{1}{28} \left[\begin{array}{ccc}84\\56\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}3\\2\\\end{array}\right][/tex]
Final answer:-
Solution of the given system x = 3 and y= 2
For Sunday brunch, Alisha is making a recipe that requires 8cups of milk. She has 3 quarts of milk. Does she have enough for the recipe?
Answers
Answer:
Step-by-step explanation:
She does have enough
In 5 hours, Jamie walked 14 miles. She is trying to figure out how many hours it would take to walk 25 miles. She set up the proportion
[tex] \frac{14}{5} = \frac{x}{25} [/tex]
Answer the following questions.
1. What error did Jamie make in setting up her proportion?
2. What is the proportion she should have used? 3. How many hours will it take Jamie to walk 25 miles?
Answers
Answer:1) 14/5 isnt right, it would be more miles in less time. 2) [tex]\frac{5}{14}[/tex] Is the correct way. 3) 9 hours, 20 mins
Step-by-step explanation:
The proportion Jamie should set up is 14/5=25/x and 9 hours will it take Jamie to walk 25 miles
What is Ratio and Proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given that In 5 hours, Jamie walked 14 miles.
Jamie is trying to figure out how many hours it would take to walk 25 miles.
She set up the proportion 14/5=x/25.
The error Jamie make in setting up her proportion is in LHS taken as miles per hours but in RHS the set up is hours by miles.
In both sides same set up should be maintained.
14/5=25/x is the proportion she should have used
14/5=25/x
Apply cross multiplication
14x=25(5)
14x=125
x=125/14
x=8.92=9
Hence, the proportion Jamie should set up is 14/5=25/x and 9 hours will it take Jamie to walk 25 miles
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What is x + 2/3 = 5/6
Answers
The final statement is: The value of x is 1/6
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The expression x+2/3=5/6
substracting -2/3 both sides x=5/6-2/3
x=1/6
Hence, The value of x is equal to 1/6
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Answer:
x = 1/6
Step-by-step explanation:
Given equation,
→ x + (2/3) = 5/6
Now the value of x will be,
→ x + (2/3) = 5/6
→ x = (5/6) - (2/3)
→ x = (5/6) - (4/6)
→ x = (5 - 4)/6
→ [ x = 1/6 ]
Hence, the value of x is 1/6.
Can someone pls help me solve this
Answers
Answer:
I'm sorry if I'm not helpful but I think it is 70 degrees
Step-by-step explanation:
4. Mary has a pet ferret. She bought a bag of ferret food that contains 12 cups of food. The maker of the ferret food suggests feeding a ferret only a cup of food a day. If Mary follows the suggestion, for how many days can she feed her ferret from the bag of food before she needs to open a new bag?
Answers
Answer:
12 days.
Step-by-step explanation:
She would have enough food to feed her pet ferret for 12 days, at a cup a day, before she would need to buy more.
Hope this helps!, If so please mark the brainliest and peace and love!!!!
a man buys a washing machine who price VAT(value added tax) is birr 175.its VAT is charged at 15% how much did the man actually pay?
Answers
Answer:
He actually paid a sum of $201.25
Step-by-step explanation:
We simply add the vat value to the cost of the machine
Mathematically, that’s (
175 + 15% of 175
= 175 + (15/100 * 175)
= 175 + 26.25
= $201.25
David made $216 for 12 hours of work. At the same rate, how many hours would he have to work to make $306?
Answers
Answer:
17 hours
Step-by-step explanation:
216/12 = $18 per hour
306/18 = 17 hours.
Hope this helps! :)
Answer:
Is 17 hours the correct
2. Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencils and rulers for their classrooms. Mrs. Ortiz buys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30 of each for $45. What was the price per mechanical pencil? What was the price per ruler?
a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
______ = ______ x + ______ y
b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
______ = ______ x + ______ y
c. Circle the best method for solving the system:
Graphing Substitution Elimination
d. Solve the system using the method you chose.
A mechanical pencil costs ______ and a ruler costs _______.
e. Check your answer:
Answers
Answer:
Step-by-step explanation:
a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
__$55__ = __50__ x + __30_ y
b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
__$45__ = __30__ x + __30__ y
c. Circle the best method for solving the system:
Elimination
d. Solve the system using the method you chose.
55 =50x+30y
-1(45) =(30x+30y)-1 = -45=-30x-30y
55 =50x+30y
+ -45=-30x-30y
10=20x
(1/20)10=20x(1/20)
0.50=x
3(55) =(50x+30y )3 = 165=150x+90y
-5(45) =(30x+30y)-5 = -225=-150x-150y
165 =150x+90y
+ -225=-150x-150y
-60=-60y
(1/-60)-60=-60y(1/-60)
1=y
A mechanical pencil costs _$0.50__ and a ruler costs __$1.00__.
e. Check your answer:
$55=50x+30y $45=30x+30y
$55=50(0.5)+30(1) $45=30(0.5)+30(1)
$55=25+30 $45=15+30
$55=$55 $45=$45
A mechanical pencil costs $0.50 and a ruler costs $1.00.
What is meant by cost?In calculus, a cost function is a mathematical formula used to determine how much it will cost to produce a certain number of units. The total cost formula is used to calculate the total cost by combining the variable and fixed costs of providing goods. Total cost = (average fixed cost x average variable cost) x number of units produced. A unit price is defined as a price expressed as a quantity of one, such as $25 per ticket or $0.89 per can. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio.The current answer as follows:
a. Fill in the blanks to calculate Mrs. Ortiz's purchase price. Let x denote the price of a pencil and y the price of a ruler.
$55 = 50x + 30y
b.Fill in the blanks with the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
$45 = 30x + 30y
c. Circle the best method for solving the system:
Elimination
d. Solve the system using the method you chose.
55 = 50x + 30y - 1(45) = (30x + 30y) - 1 = -45 = -30x - 30y
55 = 50x + 30y + -45 = -30x - 30y
10 = 20x
(1/20)10 = 20x (1/20)
0.50 = x
3(55) = (50x + 30y )3 = 165 = 150x + 90y
-5 (45) = (30x + 30y) - 5 = -225 = -150x - 150y
165 = 150x + 90y + -225 = -150x - 150y
-60 = -60y
(1/-60) -60 = -60y (1/-60)
1 = y
A mechanical pencil costs $0.50 and a ruler costs $1.00.
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Solve x^2- 2x - 4 = 0
Answers
Answer:
[tex]\displaystyle x= 1\pm \sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x² - 2x - 4 = 0
Step 2: Identify Variables
a = 1
b = -2
c = -4
Step 3: Solve for x
Substitute [QF]: [tex]\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(1)(-4)} }{2(1)}[/tex]Exponents: [tex]\displaystyle x=\frac{2\pm\sqrt{4-4(1)(-4)} }{2(1)}[/tex]Multiply: [tex]\displaystyle x=\frac{2\pm\sqrt{4+16} }{2}[/tex]Add: [tex]\displaystyle x=\frac{2\pm\sqrt{20} }{2}[/tex]Simplify: [tex]\displaystyle x=\frac{2\pm 2\sqrt{5} }{2}[/tex]Factor: [tex]\displaystyle x=\frac{2(1\pm \sqrt{5}) }{2}[/tex]Divide: [tex]\displaystyle x= 1\pm \sqrt{5}[/tex]Answer:
yes
Step-by-step explanation:
Find the value of x and fill in the table below.
Answers
2) 132= 54 plus angle n
3) 180-132=48 (angles on a straight line equal to 180 degrees)
3x+102=180
3x= 78
x is 26 degrees
Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?
Answers
Answer:
$207.20
I hope this can help in any way!
Plz help me!! Plz!!!!
Answers
Answer: x=15
Step-by-step explanation: Side splitter theorem means you can treat the triangle sides as a ratio. So if 25/15 = 1.666666667 then 1.666666667*9 = 15
Nhich relationships could have a negative correlation? Select three options.
Number of hours on video games and test scores
Speed of a car and minimum stopping distance
average running speed and total race time
adult's head circumference and age
outside temperature and amount of a heating bill
Answers
Answer:
A,C,E
Step-by-step explanation:
Just took teh Semester Exam for Math, got the answer correct
Sry im 2 days late lol
Answer:
ITS A,C,E
Step-by-step explanation:
just did a exam lol
40 of what number is 50.8
Answers
Answer:
if you are trying to say 40 percent, its 127
Answer:
1.27Step-by-step explanation:
50.8/40=1.27
40 *1.27=50.8 if that is not your question just tell me
Please I need help ............
Answers
Answer:
Dileah is correct
Step-by-step explanation:
6 is greater than 5 but yet its 6/5 and makes it an improper fraction. Its an enlargement
Answer:
Delilah
Step-by-step explanation:
It is an enlargement since the x and y values was multiplied by a number greater than 1.
help with the question above I have NO IDEA
Answers
Answer:
I would say not a function but im not 100% sure, i would go with not a function. Tell me if im wrong.
Step-by-step explanation:
convert 11/8 and 5/9 to decimals
Answers
5/9= 0.555556
Solve for x. 4x^2 – 2x + 3 = 0
Answers
Answer:
[tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define Equation
4x² - 2x + 3 = 0
Step 2: Identify Variables
a = 4
b = -2
c = 3
Step 3: Solve for x
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(4)(3)} }{2(4)}[/tex]Evaluate Exponents: [tex]x=\frac{2\pm\sqrt{4-4(4)(3)} }{2(4)}[/tex]Evaluate Multiplication: [tex]x=\frac{2\pm\sqrt{4-48} }{8}[/tex]Evaluate Subtraction: [tex]x=\frac{2\pm\sqrt{-44} }{8}[/tex]Factor Radical: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{44} }{8}[/tex]Simplify Radicals: [tex]x=\frac{2\pm 2i\sqrt{11} }{8}[/tex]Factor Numerator GCF: [tex]x=\frac{2(1\pm i\sqrt{11}) }{8}[/tex]Simplify: [tex]x=\frac{1\pm i\sqrt{11}}{4}[/tex]Amir’s average math score for the first 4 tests of the school year is 88 Which equation can be used to calculate what Amir’s average must be on the next two tests so that his overall average is 90
Answers
Answer:
Equation that can be used = [tex]\frac{4(88)+2x}{6} = 90[/tex]
Step-by-step explanation:
Given that:
Amir's average on four tests = 88
Let,
x be the score on one test
For two tests = 2x
Sum of all scores = Average of four tests + Score of two tests
Sum of all scores = 4(88) + 2x
Total number of tests = 6
Overall average needed = 90
Now,
[tex]Average = \frac{Sum\ of\ quantities}{Number\ of\ quantities}\\90 = \frac{4(88)+2x}{6}\\\\\frac{4(88)+2x}{6} = 90[/tex]
Hence,
Equation that can be used = [tex]\frac{4(88)+2x}{6} = 90[/tex]
What is sin 28°?
I need help ASAP
Answers
Answer:
sin 28° = 8/17
Step-by-step explanation:
sin A = opp/hyp
sin 28° = 8/17
The value of sin 28° is: sin 28° = 8/17
So, Option B is correct.
Here, given that, a right angle triangle has hypotenuse = 17 units,
height = 8 units,
base = 15 units.
now, we have, the angle between hypotenuse and base is: sin 28°.
from trigonometry we know that,
sin A = opp/hyp
so, here, we get, sin 28° = height/hypotenuse
putting the values, we have,
sin 28° = 8/17
Hence, The value of sin 28° is: sin 28° = 8/17
So, Option B is correct.
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what is the value of 8x -- 4, if x= 5
Answers
Answer:
36
Step-by-step explanation:
since x=5, you multiply 8x5 to get 40. then, subtract four.
how many 3/5s are in 4/3s
Answers
Answer:
how does this question make any sense
4/3s is 1 and 1/3
figure out how many 3/5ths go into that
Step-by-step explanation:
Answer:
This dont make sense
Step-by-step explanation: