Answer:
y = -5Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=3x-26&(1)\\2x-y=19&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2x-(3x-26)=19\\2x-3x+26=19\qquad\text{subtract 26 from both sides}\\-x=-7\qquad\text{change the signs}\\x=7\\\\\text{Put the value of x to (1):}\\\\y=3(7)-26=21-26=-5[/tex]
Answer:
y=-5
Step-by-step explanation:
I did the text
what’s the solution to x-4y=-8 and 2x-3y=-16
Answer: [tex]x=-8\\y=0[/tex]
Step-by-step explanation:
You can apply the elimination method:
- Multiply the first equation by -2.
- Add both equations to cancel out the variable x.
- Solve for y:
[tex]\left \{ {{(-2)(x-4y)=-8(-2)} \atop {2x-3y=-16}} \right.\\\\\\\left \{ {{-2x+8y=16} \atop {2x-3y=-16}} \right.\\ ------\\5y=0\\y=0[/tex]
- Substitute y=0 into any of the original equations ans solve for x. Then:
[tex]x-4(0)=-8\\x=-8[/tex]
The answers are:
[tex]x=-8\\y=0[/tex]
Why?Since we have to equations, first we need to isolate one variable, and then substitute it into the other equation.
So, isolating x from the first equation we have:
[tex]x-4y=-8\\x=-8+4y[/tex]
Then, substituting "x" into the second equation, we have:
[tex]2(-8+4y)-3y=-16\\-16+8y-3y-=-16\\5y=-16+16\\5y=0\\y=\frac{0}{5}=0[/tex]
Therefore, substituting "y" into the first equation, we have:
[tex]x-4(0)=-8\\x-0=-8\\x=-8[/tex]
So, the solutions for the system of equation are:
[tex]x=-8\\y=0[/tex]
Have a nice day!
Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. b What is the length of a diagonal of this quadrilateral?
Answer:
12 inches.
Step-by-step explanation:
The quadrilateral will be rectangle and the diagonals will be parallel and equal to the sides of the rhombus.
If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.
What is a rhombus?A rhombus is a quadrilateral (has four sides and four angles) in which the opposite sides are equal and parallel. All the sides of a rhombus are equal.
If the midpoints of the rhombus with sides of 12 inches are joined to form a quadrilateral. The quadrilateral formed would be a square with diagonal of 12 inches.
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If b+3/7 = 2/5 then which of the following is true?5b + 15 = 14 b + 3 = 14 5b + 3 = 14 b + 15 = 14
Answer:
The first one is true. 5b+15=14
Step-by-step explanation:
(b+3)/7= 2/5
After cross-multiplication:
5(b+3)=2*7
5b+15=14
solve the equation: -4 (8+y) = 90
-32-4y=90
-4y=122
Y=-30.5
The solution is y =30.5
Step-by-step explanation:-4 (8+y) = 90
-32 - 4y = 90
Adding 32 on both sides
-32 - 4y +32 = 90 + 32
-4y = 122
or y = 30.5
need help before 6:00am tomorrow morning
Answer:
1) true
2)False
3) False
4)true
Step-by-step explanation:
1) I doubled 50 to make a hundred girls = 100% and theni had to double 18 to get 36= 36%
2) because it is 8.4%
3) Because the total number of girls is the highest for 1 fruit
A curve with equation
[tex]y = a {x}^{2} + bx + c[/tex]
crosses the x-axis at (-4,0) and (9,0) and it also passes through the point (1,120).
where does the curve cross the Y axis
[tex]y = a(x)^(2) + bx + c [/tex]
WILL GIVE BRAINLIEST ANSWER !! NEED HELP QUICK !!
Let P represent the statement "Mary works at the water park." Let Q represent the statement "Mary takes college classes."
Which symbolic notation represents the statement "Mary works at the water park or takes college classes." ?
A. P ∨ Q
B. P ∧ Q
C. P → Q
D. P ↔ Q
Answer:
The correct answer would be B.
Step-by-step explanation:
Answer:
I'd say the answer is B. P ∧ Q
What is Payment shock
Answer:
Step-by-step explanation:
Payment Shock is when there is a risk that future periodic payments of a loan increases and thus may put the borrower at risk of defaulting on the loan.
It can occur for many reasons, such as:
change of fixed interest rateexpiration of temporary initial interest rateincrease is ARM's indexed interest ratePeople are usually attracted to these mortgages because low initial monthly payments. But sometimes, these backfire on them because of reasons stated above and put them at risk when monthly payments rise above being comfortable.
[tex]7b-3[/tex]
Which phrase describes the expression?
a. the difference of 7 plus and number b and 3
b. 7 times the difference of a number b and 3
c. 3 subtracted from the product of 7 and a number b
d. the product of 3 subtracted from 7 and a number b
The answer would be C
The phrase that describes the expression is 3 subtracted from the product of 7 and a number b
Given the expression 7b -3, we are to interpret the expression as a statement.
Let the unknown number in the expression is "b"7b represents the product of 7 and a number "b"7b -3 means that 3 is less than the product of 7 and a number "b"Hence the phrase that describes the expression is 3 subtracted from the product of 7 and a number b
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Given that the points (-3, 2) and (1, 2) are vertices of a square, what two sets of coordinates could form the other two vertices?
The given points have the same Y value.
Find the distance between the X values -3 to 1 is 4 units.
All sides of a square are the same length so the other points must be 4 units away.
Add 4 units to the Y values:
(-3,2) = (-3,(2+4)) = (-3,6)
(1,2) = (1,(2+4)) = (1,6)
Two other points to make a square could be (-3,6) and (1,6)
I now the shape for not cubes i need explain
Answer:
The bottom right, middle top, and bottom left are NOT cubes.
Step-by-step explanation:
Cubes are defined as a three dimensional object with the same length, width, and height. Since the square on the bottom left is two dimensional, It is not a cube. Since the hexagon on the bottom right is two dimensional, It can't be a cube. The Middle top shape doesn't have the same length height as it's width is, so it is not a cube. The rest are cubes.
Answer: Circle 1st, 2nd, 4th, and 6th
Step-by-step explanation:
A cube is 4 perfect squares in a 3-D shape. Only shape 3 and 5 show this.
a baseball field is in the shape of a square that is 90 feet on a side as shown. A player catches a ball at point x, which is three-quarters of the way between 2nd base & 3rd base, and throws the ball to 1st base.
What is the distance the player throws the call?
Answer:
The distance the player throws the ball is [tex]112.5\ ft[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In the right triangle ABX
[tex]AB=90\ ft[/tex]
[tex]BX=(3/4)90=67.5\ ft[/tex]
XA --------> is the distance the player throws the ball (hypotenuse of the right triangle)
Applying the Pythagoras Theorem
[tex]XA^{2}=AB^{2}+BX^{2}[/tex]
substitute the values
[tex]XA^{2}=90^{2}+67.5^{2}[/tex]
[tex]XA^{2}=12,656.25[/tex]
[tex]XA=112.5\ ft[/tex]
The distance player throws the call was calculated using Pythagoras theorem and it is 112.5 feet.
It is given that
Side of the square = 90 feet
Distance of point x from the second base = 3/4 * 90 = 67.5
The distance the player throws the call let us say D will be the shortest distance between x and 1st base.
Distance D can be calculated by Pythagoras theorem
What is Pythagoras theorem?
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the perpendicular and the base.
[tex]D = \sqrt{90^{2} +67.5^{2} }[/tex]
[tex]D = \sqrt{8100+4556.25} \\\\D = \sqrt{12656.25\\}\\[/tex]
[tex]D=\sqrt{12656.25} = 112.5[/tex]
Therefore, the distance the player throws the call is 112.5 feet.
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what is the solution to the equation |10-5y| =20
a) y=2
b) y=4
c) y=6
d) y=10
Answer:
The correct answer is option c) y = 6
Step-by-step explanation:
It is given that|10-5y| =20
Check each option
a) y = 2
|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20
b) y = 4
|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20
c) y = 6
|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20
d) y = 10
|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40| ≠ 20
From the above result we get the correct answer is option c) y = 6
Answer:
The correct answer option is a) y =2.
Step-by-step explanation:
We are given the following equation and we are to find its solution:
[tex] | 1 0 - 5 y | = 2 0 [/tex]
Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.
[tex] 1 0 - 5 y = 2 0 [/tex]
[tex] -5 y = 2 0 - 1 0 [/tex]
[tex] -5 y = 1 0 [/tex]
Ignoring the negative sign because of mod.
[tex]y=\frac{10}{5}[/tex]
y = 2
What is 3,000 + 600 + 90 + 7 in standard form
your answer is 3,697
it is 3,697. just take the first digit in each number, put it in the proper place by combining them
A rectangle has a length of 2x +3 and a width of x + 1 (as shown below). Find the perimeter of the rectangle.
Answer:
6x + 8
Step-by-step explanation:
The perimeter of the rectangle
P = 2(L + W)
Plug in
= 2(2x + 3 + x + 1)
= 2(3x + 4)
Distributive property
= 6x + 8
Answer:
The perimeter of the rectangle = 6x + 8
Estimate the answer to:
341 ÷ 0.28
340 divided by 0.3 = 1133.3
hope this helps xx
Translate this phrase into an algebraic expression: 4 less than the product of 7 and a number (x).
A. 4 - 7x
B. 7x - 4
C. 7(x - 4)
D. x/7 - 4
Answer:
B. 7x - 4
Step-by-step explanation:
A product of 7 and X means they will be multiplied. You can't subtract 4 until you know the product of 7 and X so that's why you subtract it after.
Given a right triangle with the length of one leg equal to 9 centimeters and the length of the hypotenuse equal to 15 centimeters, what is the length of the other leg?
Answer: 12cm
Work is shown in the attached sheet! :)
Answer:
12
Step-by-step explanation:
Write 10 2 /19 as an improper fraction.
Answer:192/19
Step-by-step explanation:
10/1 +2/19=190/19+2/19=192/19
Answer: 192/19
Step-by-step explanation:
A number cube is rolled 300 times. Predict how many times a number greater that 3 would be rolled
Answer:
150
Step-by-step explanation:
4, 5 and 6 are all numbers greater than 3.
The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.
The chances of rolling a number greater than 3 is thus 3/6, or 1/2.
This is theoretical probability; you haven't actually observed this happening.
We can now multiply (300 rolls) by this probability 1/2, obtaining 150.
We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.
Solve the two-step equation.
part : a
-9x + 0.4 = 4
Which operation must be performed to move all the constants to the right side of the equation?
part: b
Then, which operation must be performed to isolate the variable?
part: c
The solution to the equation is x =
a)
Subtract 0.4 from both side.
-9x +0.4 = 4
-9x + 0.4 - 0.4 = 4 - 0.4
-9x = 3.6
b)
divide by -9 both side
-9x/-9 = 3.6/-9
x = -0.4
c) x = - 0.4
The steps needed to solve the given equation is required.
Adding the opposite value of the constant to both sides.
Divide both sides by the coefficient of the variable.
The solution to the equation is [tex]x=-0.4[/tex]
The given equation is
[tex]-9x+0.4=4[/tex]
In order to solve this we first move constants to the side opposite of the variable.
This is done by adding the opposite value of the constant to both sides.
[tex]-9x+0.4-0.4=4-0.4[/tex]
Here [tex]0.4[/tex] is the constant so we add [tex]-0.4[/tex] to both sides.
[tex]\Rightarrow -9x=3.6[/tex]
Now, we divide both sides by the coefficient of the variable.
[tex]\Rightarrow \dfrac{-9x}{-9}=\dfrac{3.6}{-9}\\\Rightarrow x=-0.4[/tex]
The solution to the equation is [tex]x=-0.4[/tex]
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A polynomial function has a zeros at -1,2,7 and all are multiplicity of 1 write a function in standard form that could represent this function
Final answer:
To create a polynomial with zeros at -1, 2, and 7, each with a multiplicity of 1, you start with the factored form (x + 1)(x - 2)(x - 7) and expand it to get the standard form x^3 - 8x^2 + 15x + 14.
Explanation:
The question involves finding a polynomial function with given zeros. When a polynomial has zeros of -1, 2, and 7, all with a multiplicity of 1, the function can be expressed as product of linear factors associated with each zero. Starting from the factored form f(x) = (x - (-1))(x - 2)(x - 7), which encapsulates the given zeros, you can then expand this expression to get the polynomial in its standard form.
The expanded form of the polynomial is then f(x) = (x + 1)(x - 2)(x - 7), which, when expanded, yields f(x) = x^3 - 8x^2 + 15x + 14. This is a polynomial function in standard form that has the required zeros, each with a multiplicity of 1.
A sandwich shop sells sandwiches for $5.95 each, including tax. The shop received a total of $71.40 from the sounds of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, X,sold by the the sandwich shop that afternoon?
A:5.95+x equals 71.40.
B:5.94 divided 71.40 equals.
C:5.95x equals 71.40
D:5.95 divided times equals 71.40.
Answer:
C
Step-by-step explanation:
5.95(x)=71.40
7140/595=12
5.95(12)=71.40
The correct equation to find the number of sandwiches sold, X, is C: 5.95X = 71.40, which shows a direct correlation between the price per sandwich and the total income.
The question asks which equation can be used to determine the number of sandwiches, X, sold by the sandwich shop one afternoon given that each sandwich is sold for $5.95 and the total revenue is $71.40. The correct choice is C: 5.95X = 71.40. This is because to find the number of sandwiches sold (X), we need an equation that relates the price per sandwich to the total income from selling X number of sandwiches. Here, each sandwich is $5.95, and when you multiply that by the number of sandwiches sold, you should get the total sales of $71.40. Therefore, the equation is 5.95X = 71.40, where you can solve for X to find the total number of sandwiches sold.
find each unit price and decide which is a better buy (cheaper) Treated lumber $3.79 for an 8 foot board. or $6.18 for a 12 foot board?
Answer:
$3.79 for an 8 foot board
Step-by-step explanation:
The way to find the answer is calculating the price per foot.
Part 1
$3.79 for an 8 foot board.
one foot would cost:
$3.79 ÷ 8 = 0.47375
Part 2
$6.18 for a 12 foot board?
Price of one foot would be:
$6.18 ÷ 12 = 0.515
$0.47375 is less than $0.515. So, the cheaper treated lumber is the one costing $3.79 for an 8 foot board.
A test consists of 20 true/false questions. If a student guesses on each question, what Is the probability of getting exactly 15 correct
Answer:
50%
Step-by-step explanation:
due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong
Cindy had 13 stickers. She bought 18 stickers from a store in the mall and got 5 stickers for her birthday. Then Cindy gave 8 of the stickers to her sister and used 10 to decorate a greeting card. How many stickers does Cindy have left?
Answer:
18 stickers.
Step-by-step explanation:
Cindy buys 18 more stickers in the start. This results in 13+18= 31 stickers. She then gets five for her birthday. 31+5=36 so she now has 36 stickers but she then gives eight away which means she has 36-8=28 stickers. She uses ten stickers to decorate so Cindy has 28-10=18 stickers left
Answer:
si esta bien
Step-by-step explanation:
A line contains the points (a,b) and (a+3,b+3). Find the equation of the line in terms of a and b in point slope form and then convert it to slope intercept form?
Answer:
y - b = 1(x - a) - point-slope formy = x + b - a - slope-intercept formStep-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (a, b) and (a + 3, b + 3). Substitute:
[tex]m=\dfrac{b+3-b}{a+3-a}=\dfrac{3}{3}=1[/tex]
[tex]y-b=1(x-a)[/tex] - point-slope form
Convert to the slope-intercept form: y = mx + b:
[tex]y-b=x-a[/tex] add b to both sides
[tex]y=x+b-a[/tex] - slope-intercept form
Answer:
Step-by-step explanation:
answer for edmentum
PLEASE HELP ASAP !!!what is the approximate volume of the cone use 3.14 for pi
Answer:
The volume would be 942
Cheers pal
Step-by-step explanation:
Answer: 942cm^3
Step-by-step explanation:
what is the area of the space that Nadia has shown for scrapbooking
Answer:
52
Step-by-step explanation:
Answer:
The answer is,52
Step-by-step explanation:
Definition of area:The area of a 2D form is the amount of space within its perimeter. It's measured in square units like [tex]cm^{2}[/tex],[tex]m^{2}[/tex] , and so on. You must multiply the length by the width to find the area of a square formula or other quadrilateral.
According, to the question:
[tex]Area=l[/tex]×[tex]b[/tex]
area=13×4
area= 52
Hence, The scrapping area is 52 square feet.
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Venus has a mean distance from the sun of 67,240,000 miles while Mars has a mean distance from the sun of 4,213,000,000 miles. How much farther is Mars from the sun than Venus?
Step-by-step explanation:
The distance is How much mars is farther then the sun then Venus