The sum of two numbers is -12. The difference between the same two numbers is 8. What is the product of the two numbers? ( with explanation )
Answer:
x=-2
y=-10
Step-by-step explanation:
x+y=-12
x-y=8
x=y+8
(y+8)+y=-12
2y+8=-12
2y=-20
y=-10
x+10=8
x=-2
Answer:
[tex]x = - 2 \\ y = - 10[/tex]
Step-by-step explanation:
[tex]x + y = - 12 \\ x - y = 8[/tex]
[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]
[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]
Six added to 3 times a number is equal to 4 less than 5 times the number. What is the number?
5
-5
10
-10
Answer:
[tex]5[/tex]
Step-by-step explanation:
Let the number be [tex]x[/tex].
[tex]3x+6=5x-4[/tex]
[tex]3x-5x=-4-6[/tex]
[tex]-2x=-10[/tex]
[tex]2x=10[/tex]
[tex]2x/2=10/2[/tex]
[tex]x=5[/tex]
The number is 5.
Answer:
5
Step-by-step explanation:
What is the solution to the system of equations?
y = x +3
X=-2
ㅇ(2)
ㅇ(25)
(2
7
13 1
Answer:
the solution is (-2, 1)
Step-by-step explanation:
In the first equation, substitute -2 for x. We get:
y = -2 + 3 = 1
So the solution is (-2, 1)
The solution of system of Equations is x= -2 and y= 1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation:
y= x+ 3
x= -2.
So, putting the values in equation in (1) we get
y = -2 + 3
y = 1.
Thus, the solution is x= -2 and y= 1.
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How do you do this help
Katherine has two types of iodine in her lab. She has brand 232 iodine, which costs thirty-six cents
per ounce. She also has brand 880 iodine, which costs $2.04 an ounce. How many ounces of each should she use if she wants to make three hundred ninety-three ounces of iodine that cost a total of $255.72?
Answer:
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
Step-by-step explanation:
Given the following ;
Brand 232:
Cost per ounce = 36cent
Brand 880:
Cost per ounce = $2.04 = 204cent
Assume the following :
Number of ounces of 232 brand = x
Number of ounces of 888 brand = y
Total ounces to be made :
x + y = 393 - - - (1)
Total cost of iodine :
Brand 232 = 36x
Brand 888 = 204y
36x + 204y = 25572 - - - - (2)
From (1)
x = 393 - y - - - - (3)
Substitute (3) into (2)
36(393 - y) + 204y = 25572
14148 - 36y + 204y = 25572
-36y + 204y = 25572 - 14148
168y = 11424
y = 11424 / 168
y = 68
From ; x = 393 - y
y = 68
x = 393 - 68
x = 325
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
a square has a area of 466.56m squared work out the peremiter
Answer:
Perimeter = 86.4 (m)
Step-by-step explanation:
A square (with side x) has an area of 466.56 (m^2)
=> x^2 = 466.56
=> x = sqrt(466.56) = 21.6
=> Perimeter of this square: P = 4(x) = 4(21.6) = 86.4 (m)
Hope this helps!
The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.
Answer:
The x-value is between 2 and 3, and the y-value is between -4 and -5
Step-by-step explanation:
The plot of the equations:
y = 1/4x - 5 (red)
y = -1/2x - 3 (blue)
is shown in the figure attached.
The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333
Answer:
it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.
Step-by-step explanation:
What is 3(x+2)+2(x+2) ?
Answer:
5x +10
Step-by-step explanation:
3(x+2)+2(x+2)
Distribute
3x+6 +2x+4
Combine like terms
5x +10
Answer:
5x+10
simplified if you want: x+2
Step-by-step explanation:
3x+6+2x+4
5x+10
in 1997 the population of a small town was 700. If the annual rate of increase is about 0.8%, which value below expresses the population five years later? a.(700)(0.008)^5 B.(700)(1.08)^5 c.(700)(0.08)^5 D. (700)(1.008)^5
Answer:
D
Step-by-step explanation:
[tex]P(1+r\%)^t[/tex]
[tex]700 \times (1+0.8\%)^5[/tex]
[tex]700 \times (1+0.8/100)^5[/tex]
[tex]700 \times (1+0.008)^5[/tex]
[tex]700 \times (1.008)^5[/tex]
The value expresses the population five years later is (700)(1.008)^5.
We have given that in 1997 the population of a small town was 700.
The annual rate of increase is about 0.8%.
We have to find the population for 5 years
What is the formula for future value?
[tex]F=P(1+r)^t\\\\[/tex]
Here p=700
r=0.8/100=0.008
t=5
Use the above value in the formula so we get,
[tex]F=700(1+0.008)^5[/tex]
[tex]F=700(1.008)^5[/tex]
Therefore option D is correct.
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Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults are randomly selected, and find the indicated probability.
Complete parts (a) through (d) below.
a. What is the probability that exactly 7 of the selected adults believe in reincarnation?
The probability that exactly 7 of the 8 adults believe in reincarnation is
(Round to three decimal places as needed.)
Answer:
The probability under the given conditions is found:
P(7) = 0.079
Step-by-step explanation:
Let x be the number of adults who believe in reincarnation.
Adults randomly selected = 8
percentage of adult believe in reincarnation = 40% = 0.4
x follows binomial distribution:
P(x) = [tex]\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}[/tex]
where
n= total people random people selected = 8,
x = selected for the part = 7,
p = probability given = 0.4
P(7) = [tex]\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}[/tex]
P(7)= (8)(0.0164)(0.6)
P(7) = 0.07872
Rounding off to 3 decimal positions
P(7) = 0.079
points
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Mardi received an inheritance of $40,000. She invested part at 9% and deposited the remainder in tax-free bonds at 10%. Her total annual income from the investments was
$3700. Find the amount invested at 9%
O A $36,300
OB $29.000
oc 530,000
OD 515,000
Answer:
The amount invested at 9% is $30,000
Step-by-step explanation:
Mardi received an inheritance of $40,000.
Let x be the amount invested at 9%.
So, Amount invested at 10% = 40000-x
Her total annual income from the investments was $3700.
So, [tex]0.09x+0.1(40000-x)=3700[/tex]
[tex]0.09x+4000-0.1x=3700[/tex]
x=30000
Hence the amount invested at 9% is $30,000
The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).
Answer:
The question is missing, so I will answer all the solution for each possible system of two equations.
Step-by-step explanation:
The equations
x + 5 y = 10 (red)
3 x - y = 1 (blue)
x - 5 y = 10 (green)
3 x + y = 1 (purple)
are shown in the picture atatched. The intersection between two lines is the solution of their system.
system:
x + 5 y = 10 (red)
3 x - y = 1 (blue)
solution: (0.938, 1.813)
system:
x + 5 y = 10 (red)
x - 5 y = 10 (green)
solution: (10, 0)
system:
x + 5 y = 10 (red)
3 x + y = 1 (purple)
solution: (-0.357, 2.071)
system:
3 x - y = 1 (blue)
x - 5 y = 10 (green)
solution: (-0.357, -2.071)
system:
3 x - y = 1 (blue)
3 x + y = 1 (purple)
solution: (0.333, 0)
system:
x - 5 y = 10 (green)
3 x + y = 1 (purple)
solution: (0.938, -1.813)
Answer:
A.
Step-by-step explanation:
I just took the quiz :]
Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me I don’t know how to write this
Answer:
x + 2y = -1
Step-by-step explanation:
First, we'll find the slope.
Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2
Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:
y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use
y = -1/2(x + 5) + 2
y = -1/2x - 1/2
Standard form:
1/2x + y = -1/2
x + 2y = -1
A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag? A. 4/25 B. 6/19 C. 4/21 D. 6/25
Answer: 6/25
Step-by-step explanation:
There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
Answer: B and E
Step-by-step explanation:
A polynomial is an algebraic expression of degree one variable and above.
A polynomial does not have negative in it exponent and cannot be divided by a variable.
Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.
From the options given to you, only B and E are polynomials
HELLO THERE. PLS HELP WITH GEOMETRY
Answer:
x = 114°
y = 27
Step-by-step explanation:
To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.
To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.
Answer:
x= 114,
y= 27
Step-by-step explanation:
x= 180 - 66 = 114
6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27
a ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
A.23
B.24
C.25
D.160
Answer:
The answer is B.
Step-by-step explanation:
There are three 20 second time periods in 1 minute. Three times eight is equal to 24.
WHAT ARE THE COORDINATES OF THE POINT THAT IS 1/4 OF THE WAY FROM A(-6,-3) TO B(6,1)? a.(-3,-2) b.(3,2) c. (-1,0) D.(0,-2
someone has already answered this, so here you go :
Answer:
the correct answer is A. (-3, -2)
simplify the expression please
Answer: 6.75
Step-by-step explanation:
|6.75| = the absolute value of 6.75. The absolute value of a number is its distance from 0, which will always be positive. So |6.75| = 6.75.
Answer:
[tex]6.75[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a[/tex]
[tex]\mathrm{a\ge 0}[/tex]
[tex]\left|6.75\right|=6.75[/tex]
Asher has about a probability of winning then Ethan has which could be the outcome that Ashlee needs to win the game select three options
Answer:
There are 36 total possible outcomes.
Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.
Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.
Rolling a sum of 9, there are 4 possibilities, which is a better chance.
Rolling a sum less than 5, there is 6 possibilities, which is a better chance.
Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.
Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.
Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.
The answers would be:
Rolling a sum of 9,
Rolling a sum less than 5
Rolling greater than 5 but less than 7
Answer:
There are 36 total
Step-by-step explanation:
The number -5 can be described by which number type? irrational integer whole number natural number
Answer:
It is an integer.
Step-by-step explanation:
The number -5 is negative so it is not a whole number or a natural number. It also isn't a decimal number or a fraction so it is an integer.
Answer: Integer
Step-by-step explanation: you have to use your skills
plz help quickly !!!!! answer soon
Answer:
2/3, 1, and 6/5
Step-by-step explanation:
This is all just a matter of substitution. The values given of x = 1, x = 4/9 and x = 1 1/3 just need to be substituted in as x itself.
If x = 1, then the expression will be as the following: 4/15÷1+0.4. Dividing anything by 1 is just the same number, so 4/15 remains the same. 0.4 as a fraction is 4/10. A common denominator is 30, as both 10 and 15 fit into 30, so:
8/30+12/30=20/30, which can be simplified into 2/3
If x = 4/9, then we just substitute again. 4/15÷4/9+0.4. Due to BIDMAS, we do 4/15÷4/9 first, and to divide fractions, we use the KCF rule of Keep, Flip, and Change. We Keep the first fraction (4/15), Change the division sign into multiplication and then Flip the second fraction so it becomes 9/4
Now, we multiply the two fractions (4/15×9/4) to get 3/5, and then adding 4/10 to that gives us just 1.
If x = 1 1/3, we do the exact same thing we did for x = 4/9 to get 6/5. Good luck.
Help will give brainliest
Answer:
70
Step-by-step explanation:
Answer:
70 fewer refrigerators than television
Step-by-step explanation:
FAST
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. A trapezoid has a base of 9 inches, height of 2 inches, and top side length of 5 inches. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared
Answer:
The area is 14 inches squared.
Step-by-step explanation:
To find the area of a trapezoid the equation is...
a+b
------ x h (a and b equal the bases)
2
Seeing as we know all of the basses and heights lets plug it into the equation.
9+5
------- x 2
2
Well the 2 and the 2 cancel each other out in this scenario so what we would have to do now is ad 9 and 5 which would get us to 14.
Answer:
14in
Step-by-step explanation:
What are the resulting coordinates of triangle D′E′F′ after reflecting triangle DEF across the y-axis? answers : A) D′(1,– 4), E′(3, –1), F′(5, –2) B) D′(–1, 4), E′(–3, 1), F′(–5, 2) C) D′(–1, 4), E′(3, 1), F′(5, 2) D) D′(–1, –4), E′(–3, –1), F′(–5, –2)
Answer:
the answer would be B
Step-by-step explanation:
by flipping it to the other side u will have the same numbers but some might be negative hoped it was right
Answer:
its B
Step-by-step explanation:
I need help I have been sitting for an hour trying to figured this out:(
Answer:
This is really weird. None of them seem to be right.
For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.
However, if I had to choose one, I'd choose the second option. It's the closest to being correct.
The measure of a tangent-tangent angle is half the difference of the
measures of the intercepted arcs.
A. True
B. False
Answer:
True
Step-by-step explanation:
The measure of the angle where secants intersect outside the circle is half the difference of the measures of the intercepted arcs. A pair of tangents is a special case where the intercepted arcs meet each other. The same relation regarding arc and angle measures still applies.
The given statement is true.
The measure of a tangent-tangent angle is one - half the difference of the measures of the intercepted arcs.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, The diagram is attached below
AB and BC are the two tangents
By exterior angle theorem
∠3 = ∠2 + ∠4
So ∠2 = ∠3 - ∠4
Now we find angle 3 and 4, we know when a chord and tangent intersect at a point then the measure of angle is one half of measure of intercepted arc
∠3 = 1/2 arc ADC
∠4 = 1/2 arc AC
∠2 = ∠3 - ∠4
∠2 = 1/2 arc ADC - 1/2 arc AC
∠2 = 1/2 ( arc ADC - arc AC)
Thus, The measure of a tangent-tangent angle is one half the difference of the measures of the intercepted arcs.
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subract 5 5/21 from 13 1/7
Answer:
The answer is 166/21, or 7 19/21
Step-by-step explanation:
First, you would set up the equation, which is:
13 1/7 - 5 5/21
Next, you would turn them into an improper fraction, which is:
92/7 - 110/21
Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:
276/21 - 110/21
Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.
Answer:
7 19/21
Step-by-step explanation:
13 1/7 - 5 5/21
Get a common denominator
13 1/7*3/3 - 5 5/21
13 3/21 - 5 5/21
We need to borrow 1 from the 13 in the form of 21/21
12 +21/21 + 3/21 - 5 5/21
12 24/21 - 5 5/21
7 19/21
Which symbol correctly compared these two fractions
Answer:
The answer is C.
Step-by-step explanation:
When you simplify the left fraction, you will get the right fraction.
[tex] \frac{3}{9}[/tex]
[tex] = \frac{3 \div 3}{9 \div 3} [/tex]
[tex] = \frac{1}{3} [/tex]
Therefore, the symbol is = ;
[tex] \frac{1}{3} = \frac{1}{3} [/tex]
simplfy (x)^2(2xy^3)^5 plz help
Answer: 32x^7y^15
Step-by-step explanation:
(x)^2(2xy^3)^5
= x^2 * 32x^5y^15
= 32x^7y^15