=========================================
Explanation:
Through guess and check, we find that
8+9 = 17
8*9 = 72
We see that 8 is the answer.
--------------------
Another approach:
Let m and n be the two numbers.
They sum to 17 which leads to m+n = 17. Solving for n gets us n = -m+17.
Their product is 72, so, m*n = 72
Apply substitution and we get the following:
m*n = 72
m*(-m+17) = 72
-m^2 + 17m = 72
-m^2 + 17m - 72 = 0
-1(m^2 - 17m + 72) = 0
m^2 - 17m + 72 = 0
Now apply the quadratic formula
[tex]m = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\m = \frac{-(-17)\pm\sqrt{(-17)^2-4(1)(72)}}{2(1)}\\\\m = \frac{17\pm\sqrt{1}}{2}\\\\m = \frac{17\pm1}{2}\\\\m = \frac{17+1}{2} \ \text{ or } \ m = \frac{17-1}{2}\\\\m = \frac{18}{2} \ \text{ or } \ m = \frac{16}{2}\\\\m = 9 \ \text{ or } \ m = 8\\\\[/tex]
If m = 8, then n = -m+17 = -8+17 = 9.
If m = 9, then n = 8 through similar steps.
We see the two values are 8 and 9, the smaller of which is 8.
PLEASE HELP I HAVE NO CUE WHAT THIS IS Bananas cost $0.75 per pound. If C represents cost and P represents the number of pounds, which of the following equations describes the rate relationship?
C = 0.75 × P
P = 0.75 × C
C = 0.75 ÷ P
C = p ÷ 0.75
Answer:
C=0.75×p
hope it helps.
A bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?
Answer: 8/7752
Step-by-step explanation:
Since we are told that the bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. The total number fo marbles would be:
= 5 + 8 + 7
= 20 marbles
If 4 marbles out at random, without replacement, the probability that all the marbles are red would be:
= 5/20 × 4/19 × 3/18 × 2/17
= 1/4 × 4/19 × 1/6 × 2/17
= 8/7752
Steve is creating a web page. He starts with a font of 5 9/10 points and decreases it by 1/2. He decreases it again by 6/10 points. Steve then realizes that the font is to small to read easily and increases it by 1 4/5 points. Which is the best estimate of the font's final size?
Answer:
6 3/5 points
Step-by-step explanation:
Steve is creating a web page.
Step 1
He starts with a font of 5 9/10 points and decreases it by 1/2.
Hence: Current font
= 5 9/10 - 1/2
= 5 + ( 9/10 - 1/2)
Lowest common denominator
= 10
= 5 + (9 - 5/10)
= 5 + 4/10
= 5 + 2/5
= 5 2/5 points
Step 2
He decreases it again by 6/10 points.
Current fonts
= 5 2/5 - 6/10
= 5 + ( 2/5 - 6/10)
Lowest common denominator
= 10
= 5 + (4 - 6/10)
= 5 + (-2/10)
= 5 - 1/5
= 4 4/5 points
Step 3
Steve then realizes that the font is to small to read easily and increases it by 1 4/5 points.
New font
= 4 4/5 points + 1 4/5 points
Lowest common denominator = 5
= 4 + 1 + (4/5 + 4/5)
= 5+ ( 4 + 4/5)
= 5 +(8/5)
= 6 3/5 points
The best estimate of the font's final size is 6 3/5 points
Which mathematical property is demonstrated?
7 + 9 + 3 = 7 + 3 + 9
commutative property of addition
associative property of multiplication
commutative property of multiplication
associative property of addition
Answer:
I am pretty sure that the answer to this question is A: comunative property of addition
Step-by-step explanation:
I'm 99% sure
I'm sorry if it turns out to be wrong
cause I have not yet finished the test
Which of the following lines is perpendicular to y=1/4x-3?
•
A. y = 4x
B. 4x - y = -2
C. y = -4x + 6
D. 8x - 2y = 3
E. y = 4x + 9
•
(I think it’s either C, or D, please help I don’t understand)
Answer:
The answer is
[tex]y = - 4x + 6[/tex]
Step-by-step explanation:
Negative reciprocal for the slope.
The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.
What is the equation of a perpendicular line?Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y = (1/4)x - 3
The slope of the line is 1/4. Then the slope of the perpendicular line will be - 4. Then the equation of the line is given as,
y = -4x + d
The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.
More about the equation of a perpendicular line link is given below.
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Which steps show how to use the distributive property to evaluate 9.32?
Answer:
D
Step-by-step explanation:
An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid
Answer:
$11.25
Step-by-step explanation:
you take 75% of 15
Answer:
11.25
Step-by-step explanation:
because I used a calculator
the radius of a circle is 2 yards. what is the circles area
What is the equation of the following line written in general form?
y
(4.5)
(1,2)
.
Oy -x +1 = 0
Ox-y+1=0
O-X-y+1=0
Answer:
x-y+1 = 0
Step-by-step explanation:
Replace x & y of each coordinates into the function then you'll get the answer.
What is the slope for the points (0,5) and (2,13)?
please help need to turn in soon
Answer:
No
yes
no
yes
Step-by-step explanation:
your welcomeeeeeeeee
What is valué of the x-coordínate that is 9 units to the left (5,-8)
Answer: -4
Step-by-step explanation:
What is JL ? KM=12
JM=16
Answer:
D. 25
Step-by-step explanation:
By geometric mean property:
[tex] {(12)}^{2} = LM\times JM \\ \\ 144 = LM\times16 \\ \\ LM = \frac{144}{16} \\ \\ LM = 9 \\ \\ [/tex]
JL = JM + LM = 16 + 9 = 25
27) Solve: x – 9 = 20
28) Solve: 1/3 x 5/8
29) Solve: 4 x 4 x 4 = ?
Answer:
bghjgkk7686968679
hjkggkhk67896869
ghjkgh
Step-by-step explanation:
hjkh7689
Answer:
29, 5/24 ,64
Step-by-step explanation:
27) x-9=20
x=20+9
x=29
28) 1/3*5/8
1*5/3*8
5/24
29) 4*4*4
4*4=16
16*4
64
The ratio of the length to the width of a picture is 5:2. The picture is enlarged so that its length is 15 inches now. What is the width of the enlarged picture?
A. 5 in.
B. 6 in.
C. 7 in.
D. 8 in.
Answer:
b
Step-by-step explanation:
please answer do not answer if u don't know the answer
Answer :x=3 y=7 (3,7)
Step-by-step explanation: I took algebra last year and I answered your question earlier.
Which expression is equivalent to the equation?
Answer:
Option 1
Step-by-step explanation:
The given equation equals 3072, so find the other equation that equals 3072.
Option 1 = 3072 - correct
Option 2 = 432 - wrong
Option 3 = 2883 - wrong
Option 4 = 432 - wrong
I hope this helps!
Which is greater A or B
Answer:
I'ma assume B because it's the only graph I see
20% of 260 students at hill middle school ride a bus to school. how many students ride a bus to school?
Answer:
52 students ride a bus to school
Step-by-step explanation:
Step 1: Our output value is 260.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above $260 = 100%.
Step 4: Similarly, x = 20%.
Step 5: This results in a pair of simple equations:
260 = 100%(1).
x = 20%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%
Step 7: Again, the reciprocal of both sides gives
[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]
⇒x=52$
Therefore, 20% of 260 is 52.
Hope this helps! :)
BRAINLIEST PLEASEEE
The number of students who ride a bus is 52.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total number of students = 260
The number of students who ride a bus.
= 20% of 260
= 1/5 x 260
= 52
Thus,
The number of students who ride a bus is 52.
Learn more about percentages here:
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How can you write the equation for a linear function if you know only two ordered pairs for the function? Drag tiles tho complete the explanation. Tiles may be used once, more than once, or not at all.
Answer:
Explanation below
Step-by-step explanation:
First determine the slope using (y2-y1)/(x2-x1)
Then set up point slope form and add in an ordered pair for x and y to determine the y intercept: y - y1 = m(x - x1). Solve for y and you'll end up with slope intercept form.
For example: (-2,1), (3,2) find slope and y intercept.
(2-1)/(3-(-2))= 1/5
y-2=.2(x-3)
y=.2x-.6+2
y=.2x+1.4 or y=(x/5)+(7/5)
can some help me with this!!
Answer:
3
Step-by-step explanation:
[tex] | - 3| = 3[/tex]
Hope it helps you in your learning process.
the answer is 0.30 your welcome
A rectangular book measures 8 X 10. What is the length of its
diagonal?
Answer:
Length of the diagonals is[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]
12.8 units is the right answer.The diagonal length of the rectangular book is 12.8 units.
What is rectangular?A rectangle is "four sided polygon, having all the internal angles is equal to 90 degree. The two sides of each corner is right angles".
According to the question,
The length of rectangle is 8 units and the breadth of rectangle is 10 cm.
To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².
c = [tex]\sqrt{a^2 + b^2}[/tex]
= [tex]\sqrt{8^2 + 10^2}[/tex]
= [tex]\sqrt{64 + 100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex]
= 12.8 units
Hence, the diagonal length of the rectangular book is 12.8 units.
Learn more about rectangle here
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Two athletes Or training over a two week period to increase the number of push-ups each can do consecutively . Athlete a can do 16 push-ups to start and increase his total by each to each day. Athlete b can do 12 push-ups to start an increase he's so tall by three each day. Compare the initial values for each what does the initial value mean in the situation
Answer:
Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b
Step-by-step explanation:
Athlete a perform 16 push-ups to start and increase 1 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete A is
n = number of push-ups for athlete A= 16 + x
Athlete b perform 12 push-ups to start and increase 3 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete B is
m = number of push-ups for athlete B = 12 + 3x
where x is the number of days
thus, total number of athletes at the end of 14 day is
n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day
Now similarly for the initial day x = 0
thus, total number of athletes at the starting of 1st day is
n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.
That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a
Answer: The initial value for Athlete A is greater.
Pay attention for the keyword initial value.
I got no explanation D:
Solve this one step equation.
5x = 13
help please
0.4 times 0.59
sgaehags
Answer:
0.236
Step-by-step explanation:
Multiply 0.4 by 0.59
hopes this helps have a good day :) <3
brainlest???
Help needed ASAP. Will give Brainliest.
Answer:
The answer is C, 296. 73
Step-by-step explanation:
Top Surface Area = π×4.52
= 63.617251235193 inches2
Bottom Surface Area = π×4.52
= 63.617251235193 inches2
Lateral Surface Area = 2π×4.5×6
= 169.64600329385 inches2
Total Surface Area = 296.88050576424 inches2
solve 5 and 6 please
PLs HeLP !!!
multiply
(-8) x 11
Answer:
-88
Step-by-step explanation:
11*8=88 put the negative sign with it and you get -88
Answer:
the answer is -88
Step-by-step explanation:
Hope this helps you so glad that I could help
WILL GIVE BRAINLIST PLEASE HURRY
Answer:
AC=3x+11
Step-by-step explanation:
ok so AC is Both AB AND BC combined
2x-2+x+13=AC
3x+11=AC
AC=3x+11
Answer:
(2x-2) + (x+13)=6x+2 (take the lengths of AB and BC added together, and put equal to the value of AC)
3x+11 =6x+2 (drop the parenthesis and combine like terms on the left side)
-3x +11 =2 (subtract 6x from both sides and then subtract 11 from both sides)
-3x = -9 (divide both sides by -3 to find what x is)
x=3 (take the x value and plug it into the expression to find the length of AC)
6(3)+2 (multiply)
18+2 (add)
20 (this is the length of AC, and what you put in the box)
Step-by-step explanation:
i hope this helps :)
24 x 16 =
I need help with this please help
Answer:
=384
Step-by-step explanation: