The solution is 2 and -7.
To find two numbers that multiply to -14 and add to -5, we can set up a system of equations based on the properties of multiplication and addition of numbers with different signs.
Let x and y be the two numbers we are looking for, with the following conditions:
x * y = -14 (Multiplication condition)
x + y = -5 (Addition condition)
Using the addition rules, we know that if we have two numbers with opposite signs, the sign of the larger (absolute value) number will dictate the sign of the result. Similarly, the multiplication rules tell us that two numbers with different signs will give a product with a negative sign.
Applying these principles, we can guess that one number is positive and the other negative since their product is -14. We also know that the number with the greater absolute value must be negative since their sum is -5. We can begin by listing pairs of factors of 14 (since the product is -14) keeping the sign in mind:
1 and -14
-1 and 14
2 and -7
-2 and 7
From this list, the pair that adds up to -5 is 2 and -7. Hence, the two numbers are 2 and -7.
what is the second smallest number that has 1,2,3,4,5 as factors
What is the value of y in the product of powers below? 8 cubed times 8 Superscript negative 5 Baseline times 8 Superscript negative 2 Baseline = StartFraction 1 Over 8 squared EndFraction
Answer: [tex]y=0[/tex]
Step-by-step explanation:
The complete exercise is attached.For this exercise it is important to remember:
1. The Product of powers property. This property states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
2. The multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Then, given:
[tex]8^3*8^{-5}*8^y=8^{-2}=\frac{1}{8^2}[/tex]
You can identify that [tex]8^{-2}[/tex] is obtained by applying the Product of powers property:
[tex]8^{3+(-5)+y}=8^{-2}=\frac{1}{8^2}[/tex]
Based on the explained above, you can write the following equation:
[tex]3+(-5)+y=-2[/tex]
Therefore you must solve for the variable "y" in order to find its value. You get that this is:
[tex]3-5+y=-2\\\\-2+y=-2\\\\y=-2+2\\\\y=0[/tex]
Answer:
You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.
Step-by-step explanation:
Solve this proportion. Show your work. 7/12 = 42/x
Answer:
42/72
Step-by-step explanation:
42/7=6
12*6=72
In Long division please divide 9 by 243
Answer:
27
Step-by-step explanation:
Answer:27
Step-by-step explanation: 9 goes into 2 zero times. Put a zero on top. 9 goes into 24 two times. Put a 2 on top. Now multiply 9 by 2 and get 18. Put 18 under the 24 and subtract. This gives 6. Bring down the 3 and have 9 into 63 which is 7. Put a 7 on top. The top is the answer of 027, cancel the zero and get 27.
The isosceles triangle has a perimeter of 7.5 m.
Which equation can be used to find the value of x if the shortest side, y, measures 2.1 m?
2 x minus 2.1 equals 7.5
4.2 plus y equals 7.5
y minus 4.2 equals 7.5
2.1 plus 2 x equals 7.5
The equation 2.1 plus 2 x equals 7.5 can be used to find the value of x ⇒ 4th answer
Step-by-step explanation:
In an isosceles triangle:
Two sides are equal ⇒ the angle between them is called the vertex angle of the triangleTwo angles are equal ⇒ they called the base angles∵ The triangle is isosceles
- That means it has two equal sides
∵ The shortest side is y
∵ The length of the other two sides is x
∴ The perimeter of the triangle = y + 2 x
∵ The perimeter of the triangle = 7.5 m
- Equate the expression of the perimeter by 7.5
∴ y + 2 x = 7.5
∵ The shortest side measures 2.1 m
∴ y = 2.1
- Substitute y by 2.1 in the equation above
∴ 2.1 + 2 x = 7.5
The equation 2.1 plus 2 x equals 7.5 can be used to find the value of x
Learn more:
You can learn more about the isosceles triangle in brainly.com/question/1479138
#LearnwithBrainly
Answer:
D
Step-by-step explanation:
A town has a population of 17000 and grows at 4% every year. What will be the population after 5 years, to the nearest whole number?
What will be the population after 5 years is 20,683.
Using this formula
A=P(1+r/100)^n
Where:
P=17000
r=4%
n=5 years
Let plug in the formula
P=17,000(1+0.04)^5
P=17,000×(1.04)^5
P=17,000×1.2166529
P=20,683
Inconclusion the population after 5 years is 20,683.
Learn more here:
https://brainly.com/question/14949608
Answer:
y = 27218
Step-by-step explanation:
write an expression please help me
I'm pretty sure it's
(24/3) + x.
Simplify it: 8 + x
find the sum of the product of 10 and 36 and the product of 12 and 51
Answer:
972
Step-by-step explanation:
10 x 36= 360
12 x 51= 612
360+612= 972
Brainliest please :)
Answer:
972
Step-by-step explanation:
Product = Multiplication
Sum = Addition
10 * 36 + 12 * 51
Multiply first
360 + 612
Add
972
Hope this helps :)
An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range? 0 to StartFraction pi Over 2 EndFraction radians StartFraction pi Over 2 EndFraction to π radians π to StartFraction 3 pi Over 2 EndFraction radians StartFraction 3 pi Over 2 EndFraction to π radians
Answer:
0 to StartFraction pi Over 2
Step-by-step explanation:
we know that
If the arc on a circle measures 85 degrees, then the measure of the central angle is also 85 degrees too
so
The central angle in degrees is within the range [tex](0,90^o)[/tex]
Convert to radians
Remember that
[tex]\frac{\pi}{2}\ radians=90^o[/tex]
therefore
the range in radians is [tex](0,\frac{\pi}{2})[/tex]
0 to StartFraction pi Over 2
Answer: A. 0 to pi/2 radians
Step-by-step explanation:
Tim said that to solve the equation x - 2 = 9, he would
need to subtract 2 from both sides of the equation.
Is Tim correct? Explain. Step by step please :D
The product of twice a number and six is the same as the difference of eleven times the number and 8/5. Find the number
Answer:
-1.6
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ!
Your equation will be 2x*6=(11*x)-(8/5)
12x=11x-1.6
-11x -11x
x=-1.6
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
The number that satisfies the given condition the product of twice a number and six is the same as the difference of eleven times the number and 8/5 is -1.6.
Let's assume the number we are looking for is "x."
The problem states that the product of twice the number and six is the same as the difference of eleven times the number and 8/5.
Step 1: Express the given statement as an equation.
The product of twice the number and six is 2x * 6 = 12x.
The difference of eleven times the number and 8/5 is 11x - 8/5.
Now, we can set up the equation:
12x = 11x - 8/5
Step 2: Solve for x.
To solve for x, we need to isolate x on one side of the equation. Subtract 11x from both sides of the equation:
12x - 11x = 11x - 11x - 8/5
x = -8/5
The number we are looking for is x = -8/5 or -1.6.
To learn more about number click on,
https://brainly.com/question/28857682
#SPJ2
What equals to 2/3 the answers denominator is 9
if you know abc=def can you state bc=ef
Answer:
CPCTC
Step-by-step explanation:
If abc=def is given,
then using the cpctc rule. (corresponding parts of congruent triangles are congruent) should state this answer.
Juan plans to watch 2 movies each month. Write an equation to represent the total number of movies (n) the he will watch in (m) months.
Answer:
n = 2m
Step-by-step explanation:
total number of movies = 2 movies every month times the number of months
Answer:
n = 2m
Step-by-step explanation:
total number of movies = 2 movies every month times the number of months
Which of the following is a solution to this inequality? y>1/2x+2
The only solution to the inequality is point A, (1,4). Thus, the correct answer is A. To find the solution to the inequality [tex]\( y > \frac{1}{2}x + 2\),[/tex] we need to determine which of the given points satisfy the inequality. Let's test each point by substituting its coordinates into the inequality and checking if it holds true.
A. (1,4):
When [tex]\(x = 1\)[/tex] and [tex]\(y = 4\),[/tex] we have:
[tex]\(4 > \frac{1}{2}(1) + 2\)[/tex]
[tex]\(4 > \frac{1}{2} + 2\)[/tex]
[tex]\(4 > 2.5\)[/tex]
This is true, so point (1,4) satisfies the inequality.
B. (-1,1):
When [tex]\(x = -1\)[/tex] and [tex]\(y = 1\)[/tex], we have:
[tex]\(1 > \frac{1}{2}(-1) + 2\)[/tex]
[tex]\(1 > -\frac{1}{2} + 2\)[/tex]
[tex]\(1 > 1.5\)[/tex]
This is false, so point (-1,1) does not satisfy the inequality.
C. (2,3):
When [tex]\(x = 2\)[/tex] and [tex]\(y = 3\)[/tex], we have:
[tex]\(3 > \frac{1}{2}(2) + 2\)[/tex]
[tex]\(3 > 1 + 2\)[/tex]
[tex]\(3 > 3\)[/tex]
This is false, so point (2,3) does not satisfy the inequality.
D. (0,2):
When [tex]\(x = 0\)[/tex] and [tex]\(y = 2\)[/tex], we have:
[tex]\(2 > \frac{1}{2}(0) + 2\)[/tex]
[tex]\(2 > 2\)[/tex]
This is false, so point (0,2) does not satisfy the inequality.
Therefore, the only solution to the inequality is point A, (1,4). Thus, the correct answer is A.
The complete question is:
Which of the following is a solution to this inequality? y>1/2x+2
A. (1,4)
B. (-1,1)
C. (2,3)
D. (0,2)
Find the quotient 1/5 divided by 2
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
How to write 47 in mayan notation
Answer:
. .
. .
_
explanation
2×20^1+(1×5+2)×20^0=47
The number 47 in Mayan notation is:
..
-..
Writing 47 in Mayan notation:
1. Divide 47 by 20:
- Quotient: 2
- Remainder: 7
2. Convert to Mayan symbols:
- Quotient (2) for the second level (20s place): Two dots (..)
- Remainder (7) for the first level (units place): One bar and two dots (-..)
So, 47 in Mayan notation is:
..
-..
Top level (2 × 20) = ..
Bottom level (7) = -..
if sin F = 3/5 , what is cos G ?
Answer:
D
Step-by-step explanation:
side HG is 3
side FG is 5 hypotenuse
sin F = 3/5 = opposite/hypotenuse
cos G is adjacent/hypotenuse
adjacent side is HG which = 3
hypotenuse is 5
Without additional context, we cannot give a direct answer for cos G based only on sin F = 3/5. If F and G are complementary angles in a right triangle, cos G would also be 3/5. Otherwise, more information about the relationship between F and G is needed.
Explanation:To solve this question, we need a bit more context because there is not enough information provided to directly determine the value of cos G. However, typically, if sin F is given as 3/5 for a right triangle, then by the Pythagorean theorem, we know cos F = √(1 - sin^2 F), which calculates to 4/5, assuming F is an angle in a right triangle in standard position with F between 0 and 90 degrees.
This doesn't directly give us cos G, but if we assume G is the complementary angle to F in a right triangle (F + G = 90 degrees), then cos G = sin F and we could say cos G is also 3/5. If sine and cosine relate to different triangles or different contexts, we would need the relationship between angles F and G or additional information to solve for cos G.
Elena went 60 meters in 15 seconds. How far did she go in 1 second
Answer:
Elena went 4 meters a second.
Step-by-step explanation:
The first thing we would do would be to divide 60 and 15.
So 60÷15
This would equal 4.
If you have any questions feel free to ask in the comments. - Mark
Answer:
She went 4 meters per second
Step-by-step explanation:
Equation is: 15x=60
15 15
x=4 meters
I’m having trouble if you know how please explain!
Answer:
None of the above
Step-by-step explanation:
So in order to do this you have to plug in each answer to the equation.
Lets start with (6,0)
0 = -2(6) + 6 = 0 = -6. This answer is wrong because its false. 0 does not equal -6.
Next answer, (1,4)
1 = -2(4) + 6 = 1 = -2 This answer is also wrong because 1 does not equal -2.
Next answer, (-2,-2)
-2 = -2(-2) + 6 = -2 = 10 This answer is wrong as well because -2 doesn't equal 10.
This leaves us with none of the above which is true since the first 3 answers are wrong.
Much HELP needed here!! If you can id appreciate it so much ):
Answer:
OPTION D: (-1, 10)
Step-by-step explanation:
The equation of a line in standard form is given by: [tex]$ \textbf{y} \textbf{-} \textbf{y}_\textbf{1} \hspace{1mm} \tetxbf{=} \hspace{1mm} \tetxtbf{m}(\textbf{x - x}_{\textbf{1}}) $[/tex]
Here, m is the slope of the line.
[tex]$ (x_1, y_1) $[/tex] is the point on the line.
Therefore, comparing it with the given data:
[tex]$ y - 2= -\frac{2}{3}(x - (-1)) $[/tex]
[tex]$ \implies y_1 = -2 $[/tex]
[tex]$ \& \hspace{2mm} x_1 = -1 $[/tex]
Hence, the point on the line is: (-1, 2).
Hence, the answer.
points (0,12) and (1,3) in linear function
Answer:
y = -9x + 12
Step-by-step explanation:
first find the slope
m= 3 - 12
1 - 0
m = -9
y = mx + b
y = -9x + 12
(the 12 is the y intercept and is given in the question so there is no need to solve for it)
Simplify the expression.
Answer:
The answer is (t4)-7
Step-by-step explanation:
First you simplify the like terms so t add the 2s together and you get t4 then add the negative numbers and it equals -7.
Answer:(t4)-7
Step-by-step explanation:
The next number in the series 13, 18, 16, 21, 19, is:
Answer:24
Step-by-step explanation: the pattern is add 5 minus 2 (13+5=18, 18-2=16) so 19+5=24
Answer: 24
Step-by-step explanation: pattern is add 5 then subtract two for next one
Hope this helps
Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces?
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (negative 5, negative 27.5) and ends at point (5, 27.5).
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (negative 5, negative 27.5), (negative 4, negative 22), negative 3, negative 16.5), (negative 2, negative 11), (negative 1, negative 5.5), (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
Answer:
the answer is the first graph
Step-by-step explanation:
because the negative points are not viable
The graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a linear equation in the form of slope:
y = 5.5x
Slope of the line m = 5.5
Slope is positive, which means the line goes down to up.
We can plot the graph of the equation y = 5.5x
Option first On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5) is correct.
Thus, the graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
what is the value of x? enter in the box.
Answer:
x=39° bc you add 102 +39 then subtract the total by 180
Answer: i think its 39 cause
180-(39+102)= 39
Johanna rode her bike 7 miles to a lake. She rode 3/4 of the distance to the lake before lunch. How many miles did Johanna ride before lunch?
Answer:
5.25 miles
Step-by-step explanation:
A shipping company says the box can hold a volume of 672 cubic inches. The base of the box measures 14 inches by 8 inches. What is the height of the box?
Height is 6 inches
Step-by-step explanation:
The volume of a box can be calculated as : l * w * h
Volume of the box is given as =672 in²
Applying the formula
v=l*w*h
672= 14*8*h
672/(14*8) = h
6=h
Height is 6 inches
Learn More
Volume of a rectangular box:https://brainly.com/question/10777272
Keywords ; company, volume,height, inches
#LearnwithBrainly
Answer:
6 in
Step-by-step explanation:
The awnser choices are in the second photonplz awnser asap their are
3 questions plz help
Answer:
Part A : [tex]1621\frac{1}{3}\pi[/tex] cubic meters.
Part B : 540π cubic cm.
Part C : [tex]V = \frac{4}{3}\pi r^{3}[/tex]
Step-by-step explanation:
Part A :
The volume of the silo includes the volume of a hemisphere and a cylinder.
So, the total volume
[tex]V = \frac{2}{3}\pi r^{3} + \pi r^{2}h[/tex]
⇒ [tex]V = \frac{2}{3} \times \pi (8)^{3} + \pi (8)^{2} (20)[/tex]
⇒ [tex]V = \frac{1024}{3}\pi + 1280\pi = 1621\frac{1}{3}\pi[/tex] cubic meters. (Answer)
Part B :
The volume of the cylindrical cup with height 15 cm and base radius 6 cm is given by
[tex]V = \pi r^{2}h = \pi (6)^{2} (15) = 540\pi[/tex] cubic cm.
Therefore, Mary can put 540π cubic cm of water in the cup with out it overflowing. (Answer)
Part C :
A basketball is of a spherical shape.
So, the formula of its volume is given by [tex]V = \frac{4}{3}\pi r^{3}[/tex]. (Answer)
What percentage of 7.7 billion is 15 million?
Answer:
64.94% or as a decimal .65
Step-by-step explanation:
7.7 billion (x)=15 million
7.7x /7.7 and 15/7.7
is about .... 64.94% which is about .65
x- represents the unknown percentage.
Sorry if incorrect :(