Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
find the length indicated.
Answer:
none
Step-by-step explanation:
John's family drinks
7/9 of milk a day.
How many liters do they drink in 4 days?
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
John's family drinks 7/9 of milk a day.
Liters do they drink in 4 days: X
Using unitary method
X = [tex]\frac{7}{9} \times4[/tex]
X = [tex]\frac{28}{9}[/tex]
[tex]\frac{28}{9}[/tex] liters do they drink in 4 days.
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350 rounded to the nearest hundred is
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]
[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]
[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
The letters a and b represent nonzero constants solve
ax-b=12.5 for x
Answer:
x=(12.5+b)/a
Step-by-step explanation:
ax-b=12.5
ax=12.5+b
x=(12.5+b)/a
The solution for the equation ax - b = 12.5 for x is:
x = (12.5 + b) / a
We have,
To solve the equation ax - b = 12.5 for x, follow these steps:
- Add b to both sides of the equation:
ax - b + b = 12.5 + b
This simplifies to:
ax = 12.5 + b
- Divide both sides of the equation by "a":
(ax) / a = (12.5 + b) / a
Simplify:
x = (12.5 + b) / a
Thus,
The solution for the equation ax - b = 12.5 for x is:
x = (12.5 + b) / a
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Find the value of the expression when x = 4 and y = 6.
8x + 2y + 3
Answer:
47
Step-by-step explanation:
8(4) + 2(6) + 3 = 47
32 + 12 + 3 = 47
solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.
Answer:
2x-y= 5, x + 2y=5
Step-by-step explanation:
x = 3, y = 1
Change the following fraction to a decimal. 8 4/5 = ?
Answer:
The answer is 8.8
Step-by-step explanation:
4/5 x 20/20 = 80/100
80/100 = .8
Step-by-step explanation:
[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]
Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].
Answer:
2
Step-by-step explanation:
The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.
[tex]\frac{f(8) - f(2)}{8 - 2}[/tex]
[tex]f(8) = 2(8) - 8 = 16 - 8 = 8[/tex]
[tex]f(2) = 2(2) - 8 = 4 - 8 = -4[/tex]
[tex]\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2[/tex]
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 7%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
area after 8 years is 2156km²
Step-by-step explanation:
Area of forest=4900 km²
decrease in area in 1 year=4900km² × 7%
decrease in area in 1 year= 343km²
decrease area in 8 years=343km² × 8
=2744km²
Remaining area= (4900-2744)km²
=2156km²
Note:If you have any question about it please ask.
HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
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Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.
one halfx + 8 = 15
one halfx − 8 = 15
one halfx + 15 = 8
one halfx − 15 = 8
Answer:
Option 1 is the correct equation.
Step-by-step explanation:
x = price of the student ticket.
One half price of x + $8 = adult ticket price ($15)
Answer:
The correct answer is A
Because taking the student ticket to be x
one half of x + 8 =15
PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.
Answer:
Mixed number form 4 4/5 exact form 24/5
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
8/15
true or false? in a two-column proof, the left column states your reasiong
What’s the answer???
Answer:
Step-by-step explanation:
Anyone know the answers 11 through 14?Please help me.I’m tired
Answer:
11. [tex]x^{5}[/tex]
12. 5*[tex]x^{2}[/tex]
13. x+21
14. 2x-8
Step-by-step explanation:
(1/2)^x=2^-x could anyone tell me why
Answer:
Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4
Step-by-step explanation:
Practice
1. Hyatt Home Improvement uses H-shaped tile Design 1 Design 2
Design 3
designs on their buildings, advertisements, and
vehicles. The designs they use follow a specific
pattern. The first three designs are shown.
a. Describe the pattern in the designs.
b. Write two different expressions to represent
the number of tiles used in Design n. Use
algebraic properties to prove the two expressions are equivalent.
c. Explain how you could use technology to prove the two expressions in part (b)
are equivalent.
d. Create a table that displays the number of tiles used in each of the first 6 designs.
e. Create a graph of the data points in your table on the coordinate plane shown. Draw a smooth
curve to connect the points.
f. Do all of the points on the smooth curve make sense in terms of the problem situation? Explain
your reasoning.
g. Describe the pattern as linear, exponential, quadratic, or none of these. Explain your reasoning.
h. The owner of Hyatt Home Improvement wants to put one of their designs on an empty
rectangular sign in front of their headquarters. The empty sign is 10 feet tall and 12 feet wide. If he
Patterns are set of rules that guide the creation of a dataset. The observation from the first three designs are as follows:
The pattern is that the number of tiles increases as the design number increasesThe expressions for the number of tiles are [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]The expression can be proved to be equivalent using graph technology The points on the curve make sense in this scenario because all values are positiveThe pattern is quadratic.The largest design number that can enter an empty 10 by 12 ft sign is design number 8The pattern
The first three design show that, as the design number increases (i.e. 1, 2, 3), the number of tiles used also increases (i.e. 7, 12, 19)
The expressions for the number of tiles
The design number and the number of tiles is represented as follows
[tex]1 \to 7[/tex]
[tex]2 \to 12[/tex]
[tex]3 \to 19[/tex]
From the designs, we observe that some tiles are at the middle, while other tiles are at the sides.
Design 1 has 1 tile at the center and 6 tiles at either sides.
So, we have:
[tex]1 \to 1 + 6[/tex]
[tex]2 \to 4 + 8[/tex]
[tex]3 \to 9 + 10[/tex]
Expand
[tex]1 \to 1^2 + 6 \to 1^2 + 2 \times 3 \to 1^2 + 2 \times (1 + 2)[/tex]
[tex]2 \to 2^2 + 8 \to 2^2 + 2 \times 4 \to 2^2 + 2 \times (2 + 2)[/tex]
[tex]3 \to 3^2 + 10 \to 3^2 + 2 \times 5 \to 3^2 + 2 \times (3 + 2)[/tex]
Notice the pattern,
The number of tiles in design n will be:
[tex]Tiles = n^2 + 2 \times (n + 2)[/tex]
Open bracket
[tex]Tiles = n^2 + 2n + 4[/tex]
Hence, the expressions for number of tiles in design n are:
[tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]
Technology to prove that both expressions are equivalent
To prove that [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] are equivalent using technology, the graphs of [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] can be plotted and then compared
The table and graph for the first 6 designs
The table entry for the first 6 designs is calculated as follows:
[tex]n = 1\ \ \ \ \ Tiles = 1^2 + 2 \times 1 + 4 = 7[/tex]
[tex]n = 2\ \ \ \ \ Tiles = 2^2 + 2 \times 2 + 4 = 12[/tex]
[tex]n = 3\ \ \ \ \ Tiles = 3^2 + 2 \times 3 + 4 = 19[/tex]
[tex]n = 4\ \ \ \ \ Tiles = 4^2 + 2 \times 4 + 4 = 28[/tex]
[tex]n = 5\ \ \ \ \ Tiles = 5^2 + 2 \times 5 + 4 = 39[/tex]
[tex]n = 6\ \ \ \ \ Tiles = 6^2 + 2 \times 6 + 4 = 52[/tex]
So, we have:
[tex]\begin{array}{cc}Design & {Tiles} & {1} & {7} & {2} & {12} & 3 & {19} & {4} & {28} & {5} & {39}& {6} & {52} \ \end{array}[/tex]
See attachment for the graph of the above table
All the points on the curve make sense in this scenario because all values are positive.
The pattern type
We have:
[tex]Tiles = n^2 + 2n + 4[/tex]
When an equation has a degree of 2, the equation is quadratic.
Hence, the pattern is quadratic.
The largest design that an empty sign of 10ft by 12ft can contain.
From the first three designs:
The number of tiles on a complete row and column are always the same.
Design 1 has 3 tiles in its complete row and column
Design 2 has 4 tiles in its complete row and column
Design 3 has 5 tiles in its complete row and column
The relationship between the design number (d) and the number of complete tiles (t) is:
[tex]d = t - 2[/tex]
For the 10ft by 12ft empty sign
[tex]t = 10[/tex] because [tex]10 < 12[/tex]
So, we have:
[tex]d = t - 2[/tex]
[tex]d = 10 - 2[/tex]
[tex]d = 8[/tex]
Hence, the largest design number is design 8
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5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000
Answer:
92% of Income is Rs 18400
Step-by-step explanation:
I = 18400/.92 = Rs 20000
1. Your school's Key Club decided to sell fruit baskets to raise
money for a local charity. The club sold a total of 80 fruit
baskets. There were three different types of fruit baskets.
Small fruit baskets sold for $15.75 each, medium fruit baskets
sold for $25 each, and large fruit baskets sold for $32.50
each. The Key Club took in a total of 52086.25. and they sold
twice as many large baskets as small baskets.
a. Formulate a system of three linear equations in three
variables to represent this problem situation. Be sure to
define your variables.
b. Solve the system of three linear equations using
technology with matrices. Write your answer in terms of
the problem situation.
c. Describe the solution in terms of the problem situation.
2. Is it always easier to solve a system of linear equations using
matrices? Explain your reasoning.
Let the small , medium and large baskets be denoted by s,m & l
Formulating the equations
s+m+l= 80--------- equation1
$15.75s+ $25 m + $32.5l = $2086.25------equation2
2s=l---------equation 3
Using the technology s=15, m=35 and l= 30
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
2(15)=(30)---------equation 3
Yes because multiple variables can be easily calculated through matrices using technology
In Matrix form
[tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex] [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex] = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Let A= [tex]\left[\begin{array}{ccc}1&1&1\\15.75&25&32.5\\-2&0&1\end{array}\right][/tex]
Z= [tex]\left[\begin{array}{c}s\\m\\l\end{array}\right][/tex]
B = [tex]\left[\begin{array}{c} 80\\2086.25\\0\end{array}\right][/tex]
Z= A⁻¹ B
A⁻¹= A mod/ det A
det A= -1
Using the technology s=15, m=35 and l= 30
15 small baskets,
35 medium baskets
30 large baskets were sold.
Part C:
15+35+30= 80--------- equation1
$15.75(15)+ $25 (35)+ $32.5 (30) = $2086.25------equation2
236.25+ 875+ 975=$2086.25
$2086.25=$2086.25
2(15)=(30)---------equation 3
Answer 2:
Yes because multiple variables can be easily calculated using technology.
N.B There is a typing error in question its $2086.25 not 52086.25
factors of 15,17 ,26 & 80
Answer:
Factors of 15: 1, 3, 5 and 15.
Factors of 17: 1 and 17.
Factors of 26: 1, 2, 13 and 26
Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.
Actually you can find all the answers in the Internet.
Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)
Answer:
x > 2
Step-by-step explanation:
Distribute and cross-simplify 1/2 with parenthesis
4x + x + 2 > 12
Solve left side
5x + 2 > 12
Subtract 2 from both sides
5x > 10
Divide both sides by 5
x > 2
Someone answer this
Answer:
1st box is "a 90°clockwise rotation about the origin
2nd box is "a 180° rotation about the origin
3rd box is "a 90° counterclockwise rotation about the origin
30, 32, and 34 Please! I WILL GIVE BRAINLIEST
Answer:
see explanation
Step-by-step explanation:
Since AL bisects ∠ KAT then ∠ 1 = ∠ 2
(30)
7x + 3 = 6x + 7 ( subtract 6x from both sides )
x + 3 = 7 ( subtract 3 from both sides )
x = 4
(32)
SAT is a straight line , then
∠ 1 + ∠ 2 + ∠ 3 = 180° , then
x + x + 4x = 180
6x = 180 ( divide both sides by 6 )
x = 30
(34)
Similar to (32)
x + 12 + x + 12 + 6x - 20 = 180 , that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Answer:
30) x= 4
32) x=30
33) x=22
Step-by-step explanation:
All step by step explainations are in pic below
Simplify the answer has to be a positive exponent Please help!
5^4 /5
Use the exponent rule x^a/x^b = x^a-b
5^4/5 = 5^4-1 = 5^3
Answer as a positive exponent is 5^3
1. Which of the following is an example of like
terms?
a. - 16 and - 16x
b. x and x2
C, 50y and y
d. 20a and 2
The value of tan1°tan2ºtan3⁰ (a) 0 (b)-1 (c) 1 (d) 2 tan890 is equal to
Step-by-step explanation:
Answer-
b) 1
what is the purpose?
[tex] \\ [/tex]
Answer:
I hope it will helpful.
Step-by-step explanation:
I hope it will help you.
If (x + 4)^2 = 49 and x < 0. what is the value of x?
Answer:
x = -11
Step-by-step explanation:
To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.
-11 + 4 = -7
(-7)^2 = 49
Answer:
x = -11
Step-by-step explanation:
To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.
Marking brainliest
What else should I add
Step-by-step explanation:
........Student
........ Cousin
......... Child
Answer:
Step-by-step explanation:
daughter cousin (if you have any).mother (if you are one)family member (if it applies)best friend.Is the set of real numbers closed under addition? Explain why or why not. If it is not closed, give an example
Answer: Yes, the set of real numbers is closed under addition.
Explanation:
Let x and y be two real numbers. Their sum x+y is some other real number. This is what it means when we say the set of real numbers is closed under addition. Taking any two numbers and adding them will get us some other real number.
There is no way to have x+y be nonreal while x,y are both real.
