Answer:
x = [tex]\frac{12}{17}[/tex] or 0.706
[tex]y = \frac{59}{34}[/tex] or 1.735
Step-by-step explanation:
5x + 2y=7 ----->(eq 1)
- 2x + 6y=9 ----->(eq 2)
Multiply (eq 1) with 3
3×(5x + 2y) = 3×7
15x + 6y = 21 ----->(eq 3)
substract (eq 3) from (eq 2)
- 2x + 6y - (15x + 6y) = 9-21
- 2x + 6y - 15x - 6y = 9-21
- 2x - 15x + 6y - 6y = 9-21
-17x = -12
x = -12 ÷ -17
x = [tex]\frac{12}{17}[/tex]
put x = [tex]\frac{12}{17}[/tex] in (eq 1)
[tex]5*\frac{12}{17} + 2y = 7[/tex]
[tex]2y = 7- 5*\frac{12}{17}[/tex]
[tex]2y = \frac{7*17 - 60}{17}[/tex]
[tex]2y = \frac{119- 60}{17}[/tex]
[tex]2y = \frac{59}{17}[/tex]
[tex]y = \frac{59}{17*2}[/tex]
[tex]y = \frac{59}{34}[/tex]
What is the equation of a circle with center (2,-8) and radius 9?
Answer:
9^2= (x+2)^2+(y+8)^2
Step-by-step explanation:
The equation is r^2=(x+h)^2+(y-k)^2
Answer:
x2+y2-4x+16y-13
Step-by-step explanation:
center (h,k)=2,-8
radius(r)=9
we know
(x-h)2+(y-k)2=r2
now insert above given information
(x-2)2+(y+8)2=9×9
What is the median house price?
o $750,000
$764,000
$880,000
0 $1,200,000
Submit
Skip
ch
OB W M -
Answer: $822,000
Step-by-step explanation:
Median of even numbers is the average of the two middle numbers
Median = $764,000 + $880,000 ÷ 2
= $1,644,000/2
= $822,000
Between x = 0 and x = 1, which function has the same average rate of change as y = 3x ? A) y = 8x + 2 B) y = 3x + 2 C) y = 2x D) y = 1 3 -x
Answer: .
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I did the usatestprep
Find the area of the isosceles triangle with legs 12 and base 17. Simplify all radicals
a2+b2=c2
Answer:
[tex]Area= \frac{17 \sqrt{865} }{4} \: {units}^{2} [/tex]
Step-by-step explanation:
From Pythagoras theorem,
[tex] {h}^{2} = {12}^{2} + { (\frac{17}{2} )}^{2} [/tex]
[tex]{h}^{2} = \frac{865}{4} [/tex]
[tex]h = \frac{ \sqrt{865} }{2} [/tex]
The area of the isosceles triangle is
[tex]Area= \frac{1}{2} bh[/tex]
[tex]Area= \frac{1}{2} \times 17 \times \frac{ \sqrt{865} }{2} = \frac{17 \sqrt{865} }{4} [/tex]
There are 25 students who answered a survey about sports. Four-fifths of them like football. How many students like football.
A fifth of 25 students would be 5 (25/5).
Four-fifths of the students would be the result of (25/5) multiplied by 4.
(25/5)*4
5*4
= 20; 20 students like football.
Answer:
20
Step-by-step explanation:
25 divided by 5 equals 5 then 5 times 4 to get 4/5 which is 20
.
A semi truck can hold up to 200 gallons of fuel. Which
inequality shows this using g for the amount of fuel the
semitruck can hold?
Ruby read 0.85. Of a book what fraction of the book does ruby have left to read? Write in simplest form
What is the area of the smallest square? A) 16 in2 B) 25 in2 C) 36 in2 D) 49 in2 PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
Answer: It's B
Step-by-step explanation:
Answer:
d the anwser is d
Step-by-step explanation:
What is s in 2m+4s=16 if m=-2
Answer:
s = 5
Step-by-step explanation:
2m + 4s = 16
Step 1: Plug in -2 for m
2(-2) + 4s = 16
-4 + 4s = 16
Step 2: Solve for s
-4 + 4s + 4 = 16 + 4
4s / 4 = 20 / 4
s = 5
Answer: s = 5
Answer:
s= 5
Step-by-step explanation:
s= 5
m= - 2
2m + 4s= 16
Replace the m with the value it is in brackets. Remember brackets mean to multiply.
2(-2) + 4s= 16
-4 + 4s= 16
Carry over the -4 and make s the subject.
4s= 16 - - 4
4s= 16 + 4
4s= 20
s= 20/4
s= 5
Therefore s= 5
To check if the answer was correct, replace the s and m with the value it is in brackets. s= 5; m= 2
2(-2) + 4(5)= 16
-4 + 20 = 16
Therefore s= 5 and the answer is correct!
Find the rate of change of the function
15x - 5y=20
Answer:
3
Step-by-step explanation:
⇒15x-20=5y
⇒(15x-20)/5=y
⇒3x
The rate of change of the function is 3
m = 3how to find the rate of change of the functionTo find the rate of change of the function 15x - 5y = 20, we need to solve for y in terms of x and then determine the coefficient of x, which represents the rate of change.
Let's solve the equation for y:
15x - 5y = 20
Subtract 15x from both sides:
-5y = -15x + 20
Divide both sides by -5:
y = (15/5)x - 4
Simplifying the equation:
y = 3x - 4
Now we can observe that the coefficient of x is 3. Therefore, the rate of change of the function is 3. This means that for every unit increase in x, the corresponding y-value increases by 3.
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eveuinup: 08%
Use simple interest to find the ending balance.
17) $26,000 at 3% for 2 years
Answer: $27,560
Step-by-step explanation:
Formular for simple interest = PRT
P= 26,000
R=3% = 3/100 = 0.03
T= 2
26,000 x 0.03× 2
= 1,560
Ending balance will be 26,000 + 1,560
= $27,560
what is x
x - 3 = -5
Answer: x = -2.
Step-by-step explanation:
Answer: x= -2
Step-by-step explanation: Add three to both sides
If you were calculating the volume of a cube that has a side length of 8 inches, how would you write the calculations in exponential form? What are 2 more ways to read the exponent verbally
Answer:
[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]
Step-by-step explanation:
[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]
why does an exponent represent exponential decay instead of growth?
The exponential e is used when modeling continuous growth that occurs naturally such as populations, bacteria, radioactive decay, etc.
Explanation
We can think of e like a universal constant representing how fast we could possibly grow using a continuous process. And, the beauty of e is that not only is it used to represent continuous growth, but it can also represent growth measured periodically across time.
The exponential e will be used in situations of continuous growth or decay. The following formula is used to illustrate continuous growth and decay. If a quantity grows continuously by a fixed percent, the pattern can be depicted by this function.
[tex]A = Ao e^k^t[/tex]
In case of exponential decay, k is less than 0.
ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND 5 STAR VOTE FOR YOUR ANSWER
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ALSO I WILL FRIEND REQUEST U
Find the area of trapezoid ABCD.
A) 80 cm2
B) 96 cm2
C) 104 cm2
D) 112 cm2
So you gotta break the trapezoid into 2 shapes, square and triangle.
Area of the square: 8 x 10 = 80 cm^2
Area of the triangle : 1/2 x base x height
base: 6
height: 8
therefore, 1/2 x 6 x 8 = 24 cm^2
24+80 = 104 cm^2
Therefore your answer is C
The area of the trapezoid ABCD should be option c [tex]104\ cm^2[/tex]
Calculation of the area of the trapezoid ABCD:Since
We know that
Area of the square= [tex]8 \times 10 = 80\ cm^2[/tex]
And,
Area of the triangle: [tex]1/2 \times base \times height[/tex]
Here
base = 6
height = 8
So, the area should be
[tex]= 1/2 \times 6 \times 8 \\\\= 24\ cm^2[/tex]
Now the area of trapezoid is
= 24+80
= 104
Hence, The area of the trapezoid ABCD should be option c [tex]104\ cm^2[/tex]
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Use the slope formula to find the slope that passes through the points : (-4, 10) and (2,-8)
Answer:
slope is 9
Step-by-step explanation:
y2-y1 over x2-x1 so you would do -8-10 over 2-4 which would be -18 over -2 and the you devide -18 devided by -2 and you get your answer and it is 9
In a class of 150 students, 60 like music, 110 like sports and 35 like both music
and sports. If one student is selected at random, what is the probability that he
likes sports but not music?
Answer:
11/15 I think cause it's a pretty easy fraction
Final answer:
To determine the probability that a student randomly selected from a class likes sports but not music, calculate the difference between those who like sports and those who like both sports and music, then divide by the total students, resulting in a 50% probability.
Explanation:
The question asks for the probability that a student selected at random from a class likes sports but not music. To solve this, we first understand the problem as a set problem in mathematics. Given that 60 students like music, 110 like sports, and 35 like both music and sports, we can find the number of students who like only sports by subtracting those who like both sports and music from the total number of students who like sports. This calculation is 110 (students who like sports) - 35 (students who like both sports and music) = 75 (students who like only sports).
To find the probability, we divide the number of students who like only sports by the total number of students in the class. So, the probability is 75 (students who like only sports) / 150 (total students) = 0.5 or 50%.
Therefore, the probability that a student selected at random likes sports but not music is 50%.
Answer please i will give 10 points and mark brainiest
Answer: 320 , 112, 432
Step-by-step explanation:
Volume of Rectangular Prism= 4 * 8 * 10
= 32*10
= 320 ft cubed
Volume of triangular prism= 4 * 7 * 8
= 28 * 8
= 224
= 224 divided by 2
= 112
Volume of composite= 112 + 320
= 432
Ava said she wrote an expression with three terms. She said the first term ha the coefficient 7,the second term have the coefficient 1,and the third has the coefficient 0.1. Each term involves a different variable. Write an expression that could be the expression ava wrote.
Answer:
7*x + y + 0.1*z
Step-by-step explanation:
An expression that satisfy what Ava said she wrote is the following:
7*x + y + 0.1*z
because
it has 3 terms (each summand);the coefficient (the number that multiplies the variable) of the first term is 7, of the second term is 1 (it is omitted because 1*y = y) and of the third term is 0.1;each term involves a different variable: x, y and z.Answer:
The expression can be written as
7a + b + 0.1c
Step-by-step explanation:
Ava wrote an expression with three terms . According to the question each term involve a different variable. This means the term have different value. Since the term have different variable, each term can be represented as follow:
a , b and c
The first term which is a has a coefficient of 7. The second term which is b has a coefficient of 1 and the last term which is c has a coefficient of 0.1.
The coefficient of any value is usually the number in front of it.
The three terms and their coefficients can be expressed as follows:
First term and coefficient = 7a
Second term and coefficient = 1b
Third term and coefficient = 0.1c
The expression Ava wrote can be represented as follows
7a + b + 0.1c
Note an expression that contains variable , symbols( +, - ) and numbers is known as an algebraic expression. And
7a + b + 0.1c is an algebraic expression.
Which point is on the circle centered at the origin with a radius of 5 units?
Distance formula: (x2 – x2)2 + (v2 - Yo)?
(2, 721)
(2, V23)
(2, 1)
(2,3)
Answer:
(2,√21)
Step-by-step explanation:
The circle centered at the origin has equation:
[tex] {x}^{2} + {y}^{2} = 25[/tex]
Any point that satisfies this equation lie on this circle.
When x=2, we substitute and solve for y.
[tex] {2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21[/tex]
Take square root to get:
[tex]y = \pm \sqrt{21} [/tex]
Therefore (2,-√21) and (2,√21) are on this circle.
From the options, (2,√21) is the correct answer
Answer:2, square root of 21 just took the test!
Step-by-step explanation:
PLZ ANSWER!
Which statement is true about the expression 12 minus 7 + 3?
The expression is equivalent to 12 minus (7 + 3) because of the associative property.
The expression is equivalent to 12 + 3 + (negative 7) because of the associative property.
The expression is equivalent to 12 minus 3 + 7 because of the commutative property.
The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.
Answer:
The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.
Step-by-step explanation:
The expression should be 12- 7 +3 = 8
The associative property allows you to put parenthesis anywhere in the equation as long it just addition and multiplication. In this question, we have subtraction(minus 7) so we can't use the associative property.
The commutative property allows you to move around a number as long as you didn't change its value or its group. Option C changes the value of the number so it's wrong. If you calculate it will give a different answer: 12-3+7=16
Option D didn't change the value so its the right answer.
Answer:
D is correct
Step-by-step explanation:
Order the numbers from least to greatest. -1/20, -5/8, -1 , and -3/4
Answer:
The answer is: -1, -3/4, -5/8, -1/20
Another unit cube with the same length, width, and height as the unit cube shown would have the same volume.
Answer: Yes, if both are the same length width and height, then they would have the same volume.
Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring
4
m
4 m4, start text, space, m, end text by
6
m
6 m6, start text, space, m, end text.
Move the points on the grid below to draw the base of one of the huts described above.
The required dimensions of the hut base will be 8 by 12 m.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring 4 m by 6 m.
Move the points on the grid below to draw the base of one of the huts described above.
As shown in the above figure, just move the top two points down two spaces. Two sides take up four, and the other two take up six. we can find that the length of the hut base is 12 m and the width 8 m.
Therefore, the required dimensions of the hut base will be 8 by 12 m.
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2. Doug paid $39.95 for dinner. He left a 15% tip for the server. Which of the following is closest to
the tip left by Doug? *
Answer:
$5.99
Step-by-step explanation:
In this problem, Doug paid the following amount for the dinner:
[tex]p=\$39.95[/tex]
He also left a 15% tip.
Here we want to calculate what is the amount correspondant to the tip.
In order to find this value, we have to calculate the 15% of the value of the dinner, therefore we want to find
the 15% of 39.95$
The percentage (15%) can be rewritten as fraction:
[tex]15\% =\frac{15}{100}[/tex]
Therefore, the amount of the tip is
[tex]t=\frac{15}{100}p[/tex]
And substituting p, we find:
[tex]t=\frac{15}{100}(\$39.95)=\$5.99[/tex]
So, the tip is $5.99.
Answer: 5.99
Step-by-step explanation:
Change % to decimal
Then multiply
15% =.15
39.95 x .15 = 5.99
An item was increased by 20% but then decreased by 25%. Calculate the percentage change and state if it was an increase or decrease.
Answer:
10% Decrease
Step-by-step explanation:
Let the number is 100.
Now, if we increase the number by 20%, the new number will be -
100 + (100 × 20%) = 100 + 20 = 120
The new number is 120.
Again, if we decrease the new number by 25%, the number will be -
120 - (120 × 25%) = 120 - 30 = 90
The new number is 90.
The change will be decreased by = (100 - 90) = 10
Percentage change = (10 ÷ 100) × 100 = 10%
A novelty store sells 8 comic books for every 3 action figures. On Monday, they sold 32 comic books. On Tuesday, they sold 18 action figures. What is the difference between the number of action figures sold on Monday and Tuesday?
Answer:
6 action figures
Step-by-step explanation:
8 Comic books for every 3 action figures;
Ratio = 8:3
Monday =
32 Comic books: X
1 part = 32/8 = 4
X = 4 * 3 = 12
Therefore 12 action figures were sold on Monday.
Difference between Monday and Tuesday is 18-12 which is 6 action figures.
Final answer:
The answer provides a step-by-step explanation to find the difference in the number of action figures sold on Monday and Tuesday.
Explanation:
The difference between the number of action figures sold on Monday and Tuesday can be calculated as follows:
Given that the store sells 8 comic books for every 3 action figures, on Monday they sold 32 comic books, which is equivalent to 12 action figures (32 comic books ÷ (8 comic books/3 action figures)).
On Tuesday, the store sold 18 action figures directly. To find the difference, subtract the number of action figures sold on Monday from Tuesday's sales: 18 action figures - 12 action figures = 6 action figures.
Which expression is equivalent to 9/10
Answer:
The equivalent expression to 9(15) is 9(10+5).
Step-by-step explanation:
this is equivalent to 910 because 27 x 10 = 30 x 9 = 270.
this is also equal to 9(15) to 9(10+5)
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression is equivalent to 9/10÷2/3, can be written as,
[tex]\dfrac9{10} \div \dfrac23\\\\\\= \dfrac{\frac{9}{10}}{\frac23}\\\\\\= \dfrac{9\times 3}{10 \times 2}[/tex]
Thus, the expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).
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what two perfect squares are the closest to 175
Answer:
Perfect squares are whole numbers that are squared, so the two that are closest to 175 would be:
13*13=169 and
14*14=196
The two perfect squares closest to 175 are (13*13) and (14*14)
Hope this helps ;)
From the elements Li,K,Mg,C,Al,S identify the (a) element belonging to the same group
(b) element which has the tendency to lose two electrons.
(c) element which prefers sharing of electrons to complete its octet
(d) most metallic element
(e) element that forms acidic oxide
(f) element that belongs to group 13
Answer:
(a) Li and K belongs to the same group.
(b) Mg has the tendency to lose two electrons.
(c) C prefers sharing of electrons to complete its octet.
(d) K is the most metallic element.
(e) S forms acidic oxide.
(f) Al belongs to group 13.
_______________________
(a) Li and K belongs to the same group. (Group 1)
(b) Mg has the tendency to lose two electrons because it has 2 ions in it's outermost shell
(c) C prefers sharing of electrons to complete its octet because it has 6 ions in it's outermost shell need 2 ions to complete octet
(d) K is the most metallic element.
(e) S forms acidic oxide.
(f) Al belongs to group 13.