Answer:
A) False
B) False
Step-by-step explanation:
A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.
B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to [tex]180^{o}[/tex]. Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=
Answer: 9 pounds of chocolate and 6 pounds of sugar candies
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Step-by-step explanation:
By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.
Let's define two variables:
x = pounds of chocolate candies usedy = pounds of sugar candies used.Then, using the given information, we will have that:
x + y = 15
x*$7.00 + y*$2.00 = $5.00*15
If we isolate x in the first equation we get:
x = 15 - y
Now we can replace that in the second equation to get:
(15 - y)*$7.00 + y*$2.00 = $75
$105 - y*$5.00 = $75
$105 - $75 = y*$5.00
$30 = y*$5.00
$30/$5 = y = 6
So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
If you want to learn more, you can read:
https://brainly.com/question/12895249
6x⁴+5x³-10x+4 how to factorize this polynomial
Yes, this is polynomial, and your answer will be:
(2x − 1) (3x − 2) (x^2 + 2x + 2)
Edit:
Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.
(2x − 1) (3x^3 + 4x^2 + 2x − 4)
Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.
(2x − 1) (3x − 2) (x2 + 2x + 2)
The factorized form of the given polynomial is (2x − 1)(3x − 2)(x² + 2x + 2).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomial is given in the question, as follows:
6x⁴ + 5x³ − 10x + 4
We have to factor using the rational roots test,
⇒ (2x − 1)(3x³ + 4x² + 2x − 4)
Similarly, factor 3x³ + 4x² + 2x − 4 operates the rational roots test.
⇒ (2x − 1)(3x − 2)(x² + 2x + 2)
Thus, the factorized form is (2x − 1)(3x − 2)(x² + 2x + 2).
Learn more about the polynomial here:
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#SPJ2
5pm to 5 am how many hours
Answer:
12 hours
Step-by-step explanation:
Answer:
12 hours
Step-by-step explanation:
which expression is equivalent to (-60) divided by 5?
Answer:
Step-by-step explanation:
No choices are listed.
But -60 divided by 5 is -12
Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.
If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?
answer choices
A. t(n) = 20 + 60n
B. t(n) = 60 + 20n
C. t(n) = 200n
D. t(n) = 200
Answer:
A. t(n) = 20 + 60n
Step-by-step explanation:
Since Rob already had $20, the equation should have +20 to represent the money he already had.
60n can represent how much money Rob gets after washing windows, since he earned $60 from each weekend he washed windows.
So, A is the correct answer, t(n) = 20 + 60n
How do you do this question?
Answer:
-0.391 < x < 0.391
Step-by-step explanation:
The Maclaurin series for cosine is:
cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!
So the next term would be -x⁶/6!. When the absolute value of this is less than the error:
│-x⁶/6!│< 0.000005
x⁶ / 720 < 0.000005
x⁶ < 0.0036
-0.391 < x < 0.391
Cleo and her family fished for 3 days and caught 100 fish between them. They caught 12 fish on day 2 and 16 fish on day 3. How many fish did they catch on the first day.
Which equation is correct.
12x + 16 = 100
12x + 16 = 100
x + 12 + 16 = 100
x + 12 + 16 = 100
16x + 12 = 100
Answer:
x + 12 + 16 = 100
72 fishes
Step-by-step explanation:
Given parameters:
Number of days fished = 3days
Number of fishes caught = 100 fishes
Number of fish caught on day 2 = 12fishes
Number of fish caught on day 3 = 16fishes
Unknown:
Number of fish caught on the first day = ?
Solution:
Let the number of fishes caught on the first day = x;
Total number of fishes caught = No of fish on day 1 + No of fish on day 2 + number of fish on day 3
Insert the parameters and solve;
100 = x + 12 + 16
x = 100 - 28 = 72fishes
2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.
Answer:
$4942
Step-by-step explanation:
a.A day accommodation=$706
7 days accommodation=$706x7days
Answer=$4942
b
Find the area of a square is 12cm find the length
Answer:
The length would be l=3.46
Step-by-step explanation:
Please help I will brainliest!! Really urgent!!
Find the difference
and tell you me how you go it, not just the answer please!❤️
Answer:
1/3x - 1
Step-by-step explanation:
5/6x - 7 -1/2x + 6. - -6 turns it to +6
5/6x - 7 -3/6x + 6. Turn 1/2x to 3/6x to make the denominators the same
5/6x - 3/6x -7 + 6
2/6x -1
1/3x - 1
What is the lcm of 84,102 and 100
Step-by-step explanation:
[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]
[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]
[tex]\sf {3|{\underline{21,17,25}}}[/tex]
[tex]\sf {5|{\underline{7,17,25}}}[/tex]
[tex]\sf {\:\:{7,17,5}}[/tex]
LCM=2×2×3×5×7×17=7120Solve x2 − 10x = −13.
A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2
Answer:
B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the numbers from the equation into the formula.
[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]
Simplify:
[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]
[tex]\frac{10+/-\sqrt{48} }{2}[/tex]
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].
Hope this helps!
1
y
X
E
21
Which equation matches the graph?
OA. y = kx + 4
OB. y = 3.5 - 4
Oc. y = ks - 4
Answer:
B. [tex] y = 3x - 4 [/tex]
Step-by-step explanation:
First, using two points (0, -4) and (3, 5), find slope:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3 [/tex]
Slope, m = 3
Next, determine the y-intercept, b.
The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.
From the graph given, y-intercept, b, is -4.
Substitute b = -4 and m = 3 into [tex] y = mx + b [/tex].
The equation would be:
✔️[tex] y = 3x - 4 [/tex]
1) Escribe cuatro nombres para la rectaIJ
2) Nombra 3 segmentos de recta distintos que estén sobre HF.
3) Nombra 5 rayos que tengan el mismo extremo.
4) ¿Son BD y DB el mismo rayo? Explica si son el mismo rayo.
Answer:
GeraldineLucero Mejia Castillo,Magda CamanCastro,AnibalUlises Galiano Grados,Juan David
Step-by-step explanation:
ojala que te cirva
PLEASE HELP MATH HW DUE SOON
Answer:
One number is 43 and the other is -29
Step-by-step explanation:
If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers
A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________
a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above
Answer:
b
Step-by-step explanation:
80% +15% +5%=100
15/100= 0.15
5/100= 0.05
therfore
0.15 + 0.05 = number of flaws
=0.20
Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.
The expected number of flaws is a weighted average of the percentages that have flaws:
=∑ (Percentage of flaws x Number of flaws)
The expected number of flaws is therefore:
= (80% x 0) + (15% x 1) + (5% x 2)
= 15% + 10%
= 0.25
In conclusion, you would expected the number of flaws to be 0.25.
Find out more at https://brainly.com/question/13412627.
Which algebraic expression is equivalent to the expression below? 9(3x - 6) + 11x A. 16x + 54 B. 38x - 6 C. 16x - 54 D. 38x - 54
Answer:
D. 38x−54
Step-by-step explanation:
How do you find the original price of an item, given the tax percent and the final cost ?
A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards
9514 1404 393
Answer:
101 feet
Step-by-step explanation:
Multiply the number of boards by the length of the boards, and add the products.
2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101
The total length of the boards is 101 feet.
Is this a function?explain your choice.be specific by describing the domain and range values that may be problematic.
Answer:
yes it is a function
Step-by-step explanation:
Find n and r 10 points
Answer:
i think i can see the picture
Step-by-step explanation:
2. The reciprocal of 4 3/6 is
a. 6/27
b. 6/30
c. 4 6/3
d. 6 3/4
Answer:
6/27
Step-by-step explanation:
[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]
How much is 50 dollars
Answer:
50 dollars
Step-by-step explanation:
what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7
Answer:
21x^4 + 8x + 7
Step-by-step explanation:
This is the answer because:
1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.
2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.
3) The rest of the numbers are not like terms.
4) Therefore, the answer is 21x^4 + 8x + 7
Hope this helps!
Emilie rides her bike x miles before she gets a flat tire. She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles. Which expression shows how many miles Emilie travels in all?
Answer there is no choice, but it is x+1/3+2 1/2.
Step-by-step explanation:
Answer:
The answer is x + 2 5/6.
Step-by-step explanation:
Emilie rides her bike x miles before it gets a flat tire.
She walks 1/3 mile to a bus stop and then goes another 2 1/2 miles or 5/2 miles on a bus.
The equation would be:
x + 1/3 + 2 1/2
But, since that isn't an option, we have to simplify the equation.
x + 1/3 + 5/2
= x + [tex]\frac{2+15}{6}[/tex]
= x + 17/6
= x + 2 5/6
Thus, the answer is x + 2 5/6.
10. Which of the following represents a linear function? *
I The area of a square in relation to its side
II The area of a circle in relation to its radius
III The perimeter of a square in relation to its side
IV The circumference of a circle in relation to its diameter
(a) I only
(b) II & III
(c) III & IV
(d) IV only
y=mx+b
answer fast, please!
Answer: y = -1x + 3
Step-by-step explanation:
it's going through the y intercept ( 3 )
and down ( negative by 1 )
you can also write the answer as y = -x + 3
either one, its the same.
Select the correct answer.
Select the lightest weight.
1 750 g
I 0.7 kg
7.5 kg
705
g
7.05 kg
Answer:
1 750 g
Step-by-step explanation:
hhhahahahahahahaha
Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11
Answer:
2; 5; 8
Step-by-step explanation:
To fill in the table, we need to generate an equation to represent the relationship between x and y.
First, find the slope using the two pairs given, (5, -1) and (25, 11):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]
m = ⅗.
Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.
[tex] y - y_1 = m(x - x_1) [/tex]
Where,
[tex] x_1 = 5, y_1 = -1 [/tex]
m = ⅗.
Plug in the values
[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3x}{5} - 3 [/tex]
Subtract 1 from both sides
[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]
[tex] y = \frac{3x}{5} - 4 [/tex]
Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.
✔️When x = 10:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]
[tex] y = 2 [/tex]
✔️When x = 15:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]
[tex] y = 5 [/tex]
✔️When x = 20:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]
[tex] y = 8 [/tex]
Answer:
2,5,8
Step-by-step explanation:
If 1st and 4tg terms of G.p are 500 and 32 respectively it's second term is ?
Answer:
[tex]T_{2} = 200[/tex]
Step-by-step explanation:
Given
Geometry Progression
[tex]T_1 = 500[/tex]
[tex]T_4 = 32[/tex]
Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP
[tex]T_n = ar^{n-1}[/tex]
For first term: Tn = 500 and n = 1
[tex]500 = ar^{1-1}[/tex]
[tex]500 = ar^{0}[/tex]
[tex]500 = a[/tex]
[tex]a = 500[/tex]
For fought term: Tn = 32 and n = 4
[tex]32 = ar^{4-1}[/tex]
[tex]32 = ar^3[/tex]
Substitute 500 for a
[tex]32 = 500 * r^3[/tex]
Make r^3 the subject
[tex]r^3 = \frac{32}{500}[/tex]
[tex]r^3 = 0.064[/tex]
Take cube roots
[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]
[tex]r = \sqrt[3]{0.064}[/tex]
[tex]r = 0.4[/tex]
Using: [tex]T_n = ar^{n-1}[/tex]
[tex]n = 2[/tex] [tex]r = 0.4[/tex] and [tex]a = 500[/tex]
[tex]T_{2} = 500 * 0.4^{2-1}[/tex]
[tex]T_{2} = 500 * 0.4^1[/tex]
[tex]T_{2} = 500 * 0.4[/tex]
[tex]T_{2} = 200[/tex]
Hence, the second term is 200