Answer:
x = 4, y = -9/2 (-4.5)
Step-by-step explanation:
Using the second equation, we can divide both sides by -2 and get
y = 9/-2
y = -9/2
Then, we plug this y value into the first equation and get:
x + 4(-9/2) = -14
Simplify:
x - 18 = -14
x = 4
Bags are filled with bird food at a rate of 420 grams per second.
How many 20 kg bags can be completely filled in 4 hours?
Answer:
302
Step-by-step explanation:
420(grams per sec)x60(seconds in a min) = 25,200(grams per min)
25,200x60(min in an hour) = 1,512,000(grams an hour)
1,512,000/1,000(grams in a kilogram) = 1,512 (kilograms per hour)
1,512/20 (size of bag) = 75.6 (bags filled per hour)
75.6x4(hours elapsed asked by the question) = 302 bags completly filled in 4 hours
If the original quantity is 10 and the new quantity is 14, what is the percent increase?
Answer:
40% increase
Step-by-step explanation:
10 is you 100%
if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%
(2,4) is perpendicular to y:2x
Answer:
is a Step-by-step explanation:
combination
A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:
2
+
2
=
4
.equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
ordered pair
Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates
(
x
,
y
)
, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.
solution
1. The value of a variable that makes an equation true.
2. In chemistry, a solution is a homogeneous mixture composed of only one phase.
Determine the equation of the line.
Answer:
y = 5x -10
Step-by-step explanation:
The y-intercept is -10, as in, the line on the y-axis is at -10
The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:
y = 5/1x - 10
A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line in
simplest form?
m = [?]
Answer: 14
Step-by-step explanation:
The s is equal to the change of y/change of x. That means you have to subtract 4 and -10, and the denominator is 9 minus 8. It looks like this:
m=4-(-10)/9-8
m=4+10/9-8
m=14/1
m= 14
The perimeter of a triangle is (x
3 + 2x
2 − x − 1) cm. The lengths of two sides are
(7x
3 + 12x − 7) cm and (2x
3 − 3x
2 + 5x − 11) cm. Find the length of the remaining side of
the triangle.
Step-by-step explanation:
A=7x+3+13x-7
B=2x+3-3x
P=x+3+2x+2-x-1(hope those are the numbers)
C=?
7x+3+13x-7+2x+3-3x+C=x+3+2x+2-x-1
22x-1+C=2x+4
C=2x+4-22x+1
C=-20x+3
Solve.
6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19
Group of answer choices
5 plus-or-minus square root of 3
5 plus-or-minus square root of 10 over 3 end root
13 over 2
Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]
The translation of the problem given is:
[tex](x - 5)^2 + 1 = 19[/tex]
Then, solving:
[tex](x - 5)^2 = 18[/tex]
[tex]x^2 - 10x + 25 = 18[/tex]
[tex]x^2 - 10x + 7 = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:
[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]
[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]
[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]
[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:
[tex]x_1 = 5 + 3\sqrt{2}[/tex]
[tex]x_2 = 5 - 3\sqrt{2}[/tex]
The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]
A similar problem is given at https://brainly.com/question/13094243
A child's weight was 200% what it was at age 3. by what percent did the child's weight increase by
Answer:
The child's weight increase by 66.7%
(2.1 x 10^2) x (3.0 x 10 ^4)
Answer: 6,300,000
Step-by-step explanation:
First solve the expressions in the parenthesis using PEMDAS or GERMDAS or any other one it would be simplified to
(2.1 x 100) x (3.0 x 10000)
210 x 30000
6,300,000
what is the answer when you round 522 254 to the nearest 10
Answer:
522250
How to round to the nearest tenth:
Whenever you want to round a number to a particular digit, look only at the digit immediately to its right. For example, if you want to round to the nearest tenth, look to the right of the tenths place: This would be the hundredths place digit. Then, if it is 5 or higher, you get to add one to the tenths digit. If it is 4 or lower, the tenths digit remains the same.
For example, 3.58 can be rounded to 3.6 because the hundredths place digit, 8 is greater than or equal to 5.
3.32 would be rounded to 3.3, because the hundredths place digit, 2, is less than 5.
How many solutions does this nonlinear system of equations have?
A. 1
B. 4
C. 0
D. 2
Answer:
A
Step-by-step explanation:
Answer:
its 2
Step-by-step explanation:
Multiply (−7) × (2) × (−2).
−28
−14
28
14
Answer:
Your answer is 28
Answer:
The answer is 28
Step-by-step explanation:
Hope it helps
Please help, I’ll mark your answer as brainliest!
Jill read 9 pages. Sam read 3 times as many pages as Jill. How many pages did both Jill and Sam read?
12
27
36
45
Answer:
Together, Jill and Sam read 36 pages.
Step-by-step explanation:
9 + (9 * 3)
9 + 27
36
Answer:
27
9x3 is 9+9+9 then its 27
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?
Please try as much as possible to explain your answers.
Answer:
19
Step-by-step explanation:
(48 - 23) + 6 = 31
23 - 6 = 17
(48 - 23) -6 = 19
The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
It is given that:
In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.
Based on the information we can draw a Venn diagram:
From the Venn diagram:
A + B = 17 + 6
A + B = 23
B = 6
A + B + C = 48
A = 23 - 6 = 17
C = 48 - 17 - 6
C = 25
The total number of pupils who only study Government = 25
The total number of pupils who study Government = 25 + 6 = 31
The total number of pupils who study Economics only = 17
Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.
Learn more about the Venn diagram here:
brainly.com/question/1024798
#SPJ2
The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.
Answer:ce 6x^2=216
Step-by-step explanation:
since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216
Can someone pls help me
Answer:
6
Step-by-step explanation:
[tex] {(3 \sqrt{13}) }^{2} - {9}^{2} = {x}^{2} \\ 9(13) - 81 = {x}^{2} \\ 117 - 81 = {x}^{2} \\ 36 = {x}^{2} \\ x = 6
Use Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=(3√13)^2-9^2[/tex]
[tex]\\ \sf\longmapsto P^2=117-81[/tex]
[tex]\\ \sf\longmapsto P^2=36[/tex]
[tex]\\ \sf\longmapsto P=6[/tex]
The price of the shirt on sale is 80% of the original price. If the original price was 35$, what is the price of the shirt on sale
Step-by-step explanation:
28 dollars is the answer
Simplify −n+(−4)−(−4n)+6
Answer:
2+3n
Step-by-step explanation:
-n+(-4)-(-4n)+6-n-4+4n+6-4+6-n+4n2+3nAdam is scuba diving. He descends 5 feet below sea level. He then descends the same distance 4 more times. What integer represents Adam's new DISTANCE from sea level?
O -25ft
O 20ft
O 9ft
0 -20 ft
Answer:
-20 ft
-5×4= -20
-5ft×4= -20ft
Help please, i just need help.
Answer:
Your answer is 28/9 or the last one.
Step-by-step explanation:
28/9 = 3.111111111111.......
eight times the difference of a number and 7. write in algebraic expression.
Answer:
8(n - 7)
Step-by-step explanation:
let the number be n then the difference of n and 7 is n-7
8 times this difference is
8(n - 7)
Answer: 8(n-7)
Step-by-step explanation:
it should be that <3
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object’s mass. If a 12-Newton force causes the object to accelerate to 3 m/s2, what is that object’s mass? The unit for this mass is kg.
Answer:
F=36
Step-by-step explanation:
F= 12 times 9 divided 3 = 36
The question requires calculating the objects mass in kilogram (kg)
The mass in kg of the objects is 4 kg
Given:
F = ma
Where,
F = Force (N)
M = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
Read more:
https://brainly.com/question/25250873
Factor 1/2 out of (1/2d + 6)
Answer:
6/7
Step-by-step explanation:
i watched a video
A, b, c or d?????? Pls help quick
Answer:
The answer is a
Step-by-step explanation:
have a nice day :)
guys pls help me!!!!!!
x=167⁰ (alternate or z angles)
What is the answer to 11(3x + 5y)
Answer:
33x + 55y
Step-by-step explanation:
1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.
[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]Therefore, the answer is 33x + 55y.
Which of the following shows a correct estimate for 26% of 78?
Answer:answer is 13
Step-by-step explanation:
So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13
How many solutions are there for the following equation? Why?
8(x + 9) = 72 – 5x
Select the option that correctly answers both questions.
1 There is one solution, because the coefficients of the variables on both sides of the equation are different.
2 There is one solution, because the coefficients of the variables on both sides of the equation are the same.
3 There are no solutions, because the coefficients of the variables on both sides of the equation are different.
4 There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answer:
I think 2? maybe 1.
Step-by-step explanation:
because it becomes 8x+72=72-5x which can then become 3x=0 then x=0/3 and 0/3=0 so x=0
Please i need another example like this but not the same or else im gonna fail Ill also mark brailiest