Answer:
Y = 7
Step-by-step explanation:
You would add 4 to both sides to cancel out the -4. That leaves y by itself equaling 7.
The solution of the equation y – 4 = 3 will be 7.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
y – 4 = 3
Add 4 on both sides, we have
y – 4 + 4 = 3 + 4
y = 7
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Martha compra 2 kilos de tomate y 1 kilo de cebolla pagando S/ 8,40. Si la siguiente semana compra 1 kilo de tomate y 2 kilos de cebolla pagando S/ 7,80, ¿a cuánto está el kilo de cebolla?
Responder:
2,40
Explicación paso a paso:
Dado que:
Dejar :
Tomate = t
Cebolla = n
(2 kilo de t) + (1 kilo de n) = 8.40
(1 kilo de t) + (2 kilo de n) = 7.80
2t + n = 8,40 - - (1)
t + 2n = 7,80 - - (2)
De (2);
t = 7,80 - 2n
Ponga t = 7.80 - 2n en (1)
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2 (2,40)
t = 7,80 - 4,80
t = 3
Por lo tanto, el costo de 1 kilo de cebolla es 2,40
a line passes through the point (-6,4) and has a slope of 5/2
One number is 2 less than a second number.twice the second number is 37 more than 5 times the first. Find more the two number
Answer:
The numbers are -11 and -9.
Step-by-step explanation:
The two numbers are x and y.
x = y - 2
2y = 5x + 37
2y = 5(y - 2) + 37
2y = 5y - 10 + 37
3y = - 27
y = -9
x = - 11
What is the x-intercept of the line described by the equation? 14x - 8y = 56
Answer:
The x intercept is (4,0) and the y intercept is (0,-7)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form
[tex]y = mx + b[/tex]
we are given
[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]
now, we can set y to 0 and solve
[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]
The x-intercept is (4, 0)
Select the equation that contains the point (3,6) and in which the slope equals 1
Answer:
I think it would be y + 6 = x + 3
Step-by-step explanation:
Because they both have to be positive because the points are positive. Also the slope has to be 1 so x cannot have a number with it or else it changes the value.
I would say it is 1)y + 6 = x + 3 but I am not no genius
What is the solution to the system of equations below?
y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equations
[tex]y=-6x-10[/tex]
[tex]y=-3x-21[/tex]
solving the system of the equations
Arrange the equation variables for elimination
[tex]\begin{bmatrix}y+6x=-10\\ y+3x=-21\end{bmatrix}[/tex]
[tex]y+3x=-21[/tex]
[tex]-[/tex]
[tex]\underline{y+6x=-10}[/tex]
[tex]-3x=-11[/tex]
[tex]\begin{bmatrix}y+6x=-10\\ -3x=-11\end{bmatrix}[/tex]
solve
[tex]-3x=-11[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{-11}{-3}[/tex]
[tex]x=\frac{11}{3}[/tex]
[tex]\mathrm{For\:}y+6x=-10\mathrm{\:plug\:in\:}x=\frac{11}{3}[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y+6\cdot \frac{11}{3}=-10[/tex]
[tex]y=-32[/tex]
Therefore, the solutions to the system of the equations are:
[tex]y=-32,\:x=\frac{11}{3}[/tex]
But, it seems none of the options is true.
Answer:
A. (2, -22)
Step-by-step explanation:
I just took the test and i got a one hundred! I really hope it helped!!!!
Find the slope of a line parallel to each given line.
y= -1/4x -4
pls help asap
Answer:
Slope is -1/4 or -.25
Step-by-step explanation:
y=mx+b
slope is "m" and always has to be infront of x.
It costs $0.50 to download an individual song and $4 to download an album.
Jada has $15 to spend downloading music.
Complete the table showing three ways Jada can spend $15 downloading individual songs and albums.
Answer:
Below are the three ways.
Hope I helped :)
The completed table is given below and the equation for the given situation is 15=4a+0.50s.
Given that, it costs $0.50 to download an individual song and $4 to download an album.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Jada has $15 to spend downloading music.
Let s be number of songs and a be number of albums
So an equation for the given situation is 15=4a+0.50s
From table, in row 1
Given number of songs is 6
15=4a+0.50(6)
⇒ 15=4a+3
⇒ 4a=12
⇒ a=3
From table, in row 2
Given number of albums is 1
15=4(1)+0.50s
⇒ 0.50s=11
⇒ s=11/0.50
⇒ s=22
From table, in row 3
Given number of albums is 30
15=4a+0.50(30)
⇒ 15-15=4a
⇒ a=0
Hence, the completed table is given below and the equation for the given situation is 15=4a+0.50s.
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Skylar mowed 16 lawns in 12 hours. What was her rate of mowing in lawns per hour?
HELP ASAP WILL GIVE BRAINLEIST
Solve for x in the diagram below
Answer:
X=20 3x=60
Step-by-step explanation:
a straight line is 180
180-100=80
4x=80
x=20
We can create a equation to solve for x here.
We will use the following equation:
100 + 3x + x = 180How to solve it step-by-step
[tex]100 + 3x + x = 180\\\\100 + 4x = 180\\\\4x = 80\\\\x = 20[/tex]
The price of a skirt was increased from $40 to $64. By what percentage was the price of the skirt
Increased?
Answer: 11 percent
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
Which expression best represents the model shown below?
Answer choices
x + 1
2x + 2
x - 1
5x + 5
A glass is 1/3 full. Then 40cm3 of orange juice is poured in.
The glass is now 5/7 full. What is the total volume of the glass?
Answer:
105cm3
Step-by-step explanation:
subtract 5/7- 1/3
8/21=40cm3
21/21=105cm3=total volume
Answer:
5
Step-by-step explanation:
Divide using partial products 52/5 =
Answer:
um.. ok the answer is 10 remainder 2
Step-by-step explanation:
5 goes into 52
10 times
Answer:
10.4
Step-by-step explanation:
find the value of x
Answer:
79 degrees
Step-by-step explanation:
Quadrilaterals have a total of 360 degrees. They already gave you three of them so you just have to add all the given degrees and subtract it by 360. 101+124+56=281 ; 360-281=79
ANSWER THIS EMMEDIATELY
I WILL MARK BRAINLEIST ANSWER... ;-;
Helppppp me plzzzzzzzzzzz somebody
Answer:
(2,0)
Step-by-step explanation:
On the x-axis, the point is at 2. The point has a y-value of 0, as it's on the x-axis.
12х – 5y = — 20
y = x+4
can someone help me find the x and y
Answer:
0 I think because when you plug y in and combine like terms, you get 7x=0
Answer:
(I'm not sure what you're asking but I believe you're asking for the coordinate where they intersect!)
The lines intersect at (0, 4)
Step-by-step explanation:
Question:
12x-5y=-20
y=x+4
1) Simplify the first equation!
12x-5y=-20
Move 12x to the other side (remember when you move numbers to the opposite side of the equation, it makes them negative) to isolate y!
-5y=-20-12x
Divide all numbers by -5 to just get the variable y
y=4+12/5x
2) Solve
I'm going to be solving by substitution since I like this method the best!
y=4+12/5x
y=x+4
1) Set the equations equal to another (you'll be replacing the variable of y for an equation)
x+4 will be replacing y of the other equation
x+4 = 4+12/5x
2) Simplify
Subtract x on both sides
x-x + 4 = 4+ 12/5x-x
4=4+7/5x
Subtract 4 on both sides
0=7/5x
x is equal to 0!
3) Find y
1) Set x equal to 0 in an equation (I'm doing y=x+4 because it's easier!)
y=x+4
y=0+4
2) Simplify
y=4
Answer:
(0, 4)
Find the distance between the points (3, 9) and (-9, -7).
Answer:
20
I hope this helps!
When Adrian runs the 400 meter dash, his finishing times are normally distributed with a mean of 77 seconds and a standard deviation of 3 seconds. What is the probability that in a given race, his finishing time will be faster than 75 seconds, to the nearest thousandth?
Answer:
0.749
Step-by-step explanation:
We start by calculating the z-score
Mathematically:
z-score = (x-mean)/SD
z-score = (75-77)/3 = -2/3 = -0.67
The probability we want to calculate is;
P( X > -0.67)
we can use the standard normal distribution table for this
Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth
are the adjacent angles in a parallelogram congruent always, sometimes, or never
Answer:
always
Step-by-step explanation:
if something parallel then it never touch each other and are opposite of each other
When the machine is active for 7 hours, 2,450 buttons are manufactured. How many hours would the machine need to be active in order to manufacture 5,250 buttons?
Answer:
350 x 15 = 5250, or in Other words it takes 15 hours to for 5250 buttons to be manufactured.
Step-by-step explanation:
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games? One-fourth One-third Two-thirds Three-fourths
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Answer: 3/4
Step-by-step explanation:
Claire wants to build a patio outside her café. The rectangular space outside of Claire's café is three times as long as it is wide. The area of the space is 48 m2. Claire
would like to build a patio with dimensions 3.5 m by 12.5 m in this space. Will it fit? Explain.
pls help
Answer:
Step-by-step explanation:
It will fit in the space but it won't cover the entire space. the area is 48m2, but the patio in question will cover 43.75 of the 48m2. Also, it stated that the rectangular space is 3 times as long, and the patio is 3.57x as long as the width. So yes, it will fit, but it will not be a picture perfect fit, there will be some obscenities.
Step-by-step explanation:
Let length of space be lm and width be wm.
l = 3w --(1)
lw = 48 --(2)
sub (1) into (2):
3w(w) = 48
3w^2 = 48
w^2 = 16
w = ± 4 (rej -4 since w > 0)
when w = 4, l = 3(4) = 12
Since dimensions of the patio is 3.5m by 12.5m, and the dimensions of the space is 4m by 12m it does not fit
This is a topic known as simultaneous equations. If you would like to find out more / know when and how to use it, you can check out my Instagram page (learntionary)
The principal of a large high school wants to learn about student opinion regarding remote learning versus in person learning. Each of the following methods introduces a possible source of bias. Name the type of bias . a. The principle selects a random sample of students from those who signed up for remote learning. b. The student emails a random sample of 100 students, but only 28 students respond . c. The principal surveys the first 50 students that submit their learning preference for the upcoming school year.
Answer:
Step-by-step explanation:
the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.
Bias occurs when a particular portion of the population is given more weight or have a higher priority during sample selection which in turn affects the outcome and result of our result as it won't be representative of the population. The type of bias introduced in the scenarios above are :
Selection bias Non - response bias Undercoverage biasSelection bias occurs when only a particular faction of the population is used rather than the entire population during sample selection. Rather than making selection from the entire students, only those who signed for remote learning were sampled.
Non - response bias occurs when a large portion of the selected sample fail to participate in a survey. With only 28% response and 72% non - responsive. Non - response bias has creeped in.
Undercoverage bias is usually associated with convenience sampling as the selection made might fail to randomly cover the entire population.
Hence, selection, non - response and Undercoverage bias are present in the selection made by the principal.
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What is the quotient and the remainder of 2,461 ÷ 18
Answer:
Step-by-step explanation:
722222
Answer:
136 r 13
Step-by-step explanation:
divide the numbers using long division:
1 3 6
__________
18 | 2 4 6 1
- 1 8
___
6 6
- 54
_____
1 2 1
- 1 0 8
_____
1 3
So 2461 / 18 is 136, remainder 13
What is the solutions set for -4x - 10< 2?
1 point
3. A city had a population of 150,000 people in 1990. The population
growth of the city is represented by the equation p = 5t + 150, where p is
the population in thousands and t is the time in years since 1990. In what
year will the population have doubled? *
1993
2000
2020
2030
4. What type of correlation is represented by the data in the scatter plot? *
1 point
Which of the following ordered pairs is a possible solution to the equation y = 3x - 2?
Answer:
D) (1,1)
Step-by-step explanation:
You can find the solution by plugging the x-value of each coordinate into the equation. It will be a solution if the y-value of the equation equals the y-value of the coordinate.
For example:
y = 3x -2
y = 3(1) - 2
y = 3-2
y = 1
1 = 1
(1, 1) are the coordinates that are on the given line.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given a equation y = 3x -2
To find which coordinates will satisfy the equation:
For coordinates (2, 0)
at x = 2, y should be zero
y = 3 * 2 -2
y = 4
Not satisfied
For coordinates(-3, 0)
at x = -3, y should be 0
y = 3 * -3 - 2
y = -9 -2
y = -11
Not satisfied
For coordinates(0, 2 )
at x = 0, y should be 2
y = 3*0 -2
y = -2
Not satisfied
For coordinates(1, 1)
at x = 1, y should be 1
Y = 3*1 - 2
y = 3 - 2
y = 1
satisfied
Therefore, (1, 1) are the coordinates that are on the given line.
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Find the circumference of the circle, round to the nearest tenth. Answer: H
Answer:
H
Step-by-step explanation: