Answer:
x = -7
Step-by-step explanation:
The equation of the line in standard form is y=5.
This is a horizontal line, so the perpendicular line will be a vertical line of the form x=a.
Since we are given that the line should pass through the point (−7,−5) then the equation of the line is x=−7.
A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five dash sixths of my cats plus two."
How many cats does the nemesis have?
how to convert 1 years 6 months into 1.5 years
Step-by-step explanation:
6 months = 0.5 years (6/12)
1 year + 0.5 years = 1.5 years
The width of a rectangle is 3/4 its length. The perimeter of the rectangle is 420 feet. what is the length, in feet, of the rectangle.
Answer:
120
Step-by-step explanation:
Length of the rectangle = 120 feet
Given :
The width of a rectangle is 3/4 its length. The perimeter of the rectangle is 420 feet.
Let 'L' be the length of the rectangle
Width of the rectangle is 3/4 of its length
width = [tex]\frac{3}{4} \cdot length[/tex]
Perimeter of rectangle = 2(length ) +2(width )
[tex]P=2L+2W\\P=2L+2(\frac{3}{4}\cdot L) \\P=2L+(\frac{3}{2}t L) \\\\P=\frac{7}{2}L \\[/tex]
Given that perimeter of rectangle is 420 feet
Replace perimeter by 420 feet and solve for L
[tex]420= \frac{7}{2} L\\840=7L\\Divide \; by \; 7\\L=120[/tex]
Length of the rectangle = 120 feet
Width of the rectangle =[tex]\frac{3}{4} \cdot length= \frac{3}{4} \cdot 120=90[/tex]
Width of the rectangle = 90 feet
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Choose the replacement for x and y that makes this equation a true statement: 2x + 55y = −214
A.
x = −3 and y = −4
B.
x = −4 and y = 3
C.
x = 3 and y = −4
D.
x = 4 and y = 4
Answer: C
Step-by-step explanation:
2x3= 6
55 x -4= -220
6 + -220= -214
What’s is 4/5•5/7 which they are both negative
Answer:
-20/35 if you simplify it would be -4/7
Step-by-step explanation:
29 degrees C to Fahrenheit.
Answer:
29 degrees Celsius are 84.2 Fahrenheit.
Step-by-step explanation:
In order to convert Celsius to Fahrenheit you can use this formula: [tex]F = C * 1.8 + 32[/tex].
Here we have [tex]F = 29 * 1.8 + 32[/tex] which equals 84.2. Instead of 1.8 you can use the fraction [tex]\frac{9}{5}[/tex] if you wish so.
Answer:
[tex]\large\boxed{29^oC=84.2^oF}[/tex]
Step-by-step explanation:
Formula for converting Celsius (C) to Fahrenheit (F):
[tex]F=32+\dfrac{9}{5}C[/tex]
We have C = 29. Substitute:
[tex]F=32+\dfrac{9}{5}(29)=32+\dfrac{261}{5}=32+52.2=84.2[/tex]
Answer as a mixed number (4 1/4) - (7/3
Answer: 1 and 11/12
Step-by-step explanation: (4 1/4) - (7/3)= 4 3/12- 2 4/12=1 and 11/12
Which expression represents the phrase "three times the sum of a number and 4"?
3x + 4
3(x+4)
3(3x+4)
3x−4
Answer:
The answer is: 3(x+4)
Step-by-step explanation:
Oof
Answer:
The correct option is 2.
Step-by-step explanation:
The given statement is "three times the sum of a number and 4".
We need write the mathematical expression for the given statement.
Let the unknown number be x.
The sign " + " is used for addition and sum.
The sign " × " is used for multiplication, times and product.
Sum of a number and 4 = [tex](x+4)[/tex]
Three times the sum of a number and 4 = [tex]3\times (x+4)=3(x+4)[/tex]
The required expression is 3(x+4). Therefore, the correct option is 2.
Sara bought a dress on sale for $30. She saved 45%. What was the original cost?
I appreciate any help, thank you.
Final answer:
Sara paid 55% of the original price of the dress when she bought it for $30. By dividing the sale price by 0.55, we calculate that the original price was approximately $54.55.
Explanation:
To answer the question of what the original cost of Sara's dress was before she saved 45% on the sale, we need to set up a simple percentage calculation. Since Sara saved 45%, this means she paid 55% of the original price (100% - 45% = 55%). The sale price of $30 is what represents this 55%.
To find the original price, we can write the equation:
30 = 0.55 × (original price).
Now we divide the sale price by 0.55 to find the original price:
(original price) = $30 / 0.55 = approximately $54.55.
So the original cost of the dress was approximately $54.55 before the sale.
The original price of the dress is approximately '54.55'
Sara bought a dress on sale for $30 and she saved 45% on the dress
Thus the price she paid for the dress is 100%−45%=55%
Now 55% of the original price of the dress is the amount she paid for the dress
Thus let 'P' be the original price of the dress
We can say that,
55% of P = 30
[tex]55*\frac{P}{100}=30\\ 55*P=30*100\\55*P=3000\\P=\frac{3000}{55}\\ P=54.55[/tex]
Thus '54.55' is the required answer
F(x)=5x+1 g(x)= -2x+15
F(x)=5x+1
g(x)= 2x+15
5x+1=F(x)
Xx2=(5+1)
x=6x2
x=12
Fx= F12
how can you predict the sign of the sum answer before you actually do the math
Answer:see explanation
Step-by-step explanation:
first look at the abosloute value of the number, then go back to the question and look at the sign of that number. That sign should be the same sign as the sum.
for example
73+(-54)=
the absolute value of 73 is 73
the absolute value of -54 is 54
73 is bigger
go back to look at the sign of 73 in the eq.
it is positive, thus the answer should be positive too.
To add or subtract fractions with different denominators first find the equivalent fractions with a _ denominator
Answer: Common
Step-by-step explanation:
The answer is with a multiplication of denominators, because when you multiply the denominator of one fraction with the denominator of the other fraction, we will get product which could divide between both denominator
for example if you have the following equation:
2/3+2/4
and you multiply 3*4 =12
and you can use it to complete the equation as a common denominator
What is 2/3 written as a sum of unit fractions with the denominator of nine
Answer:
Step-by-step explanation:
2/3 = 6/9 because to get to nine from three you need to multiply by three so you multiply the 2 by three to and you get 6 so the answer is 6/9
2/3 written as a sum of unit fractions with the denominator of nine is 6/9.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 2/3.
2/3 written as a sum of unit fractions with the denominator of nine
Now, multiply both numerator and denominator by 3
2×3/3×3
= 6/9
Therefore, 2/3 written as a sum of unit fractions with the denominator of nine is 6/9.
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What is 7909+1044 using algorithm
Answer:
8,953
Step-by-step explanation:
line up 7,909 and 1,044 like this :
7,909
+ 1,044
then add everything
Using the addition algorithm, first you align the numbers by place value, then starting from the rightmost position, you add each place numbers together. Accordingly, 7909 + 1044 equals 8953.
Explanation:The process of adding two numbers using the additon algorithm begins with lining up the numbers by their place values. Starting from the rightmost digit, which is the one's place, you add the numbers in each corresponding place together.
In this case, Adding 7909 and 1044:
You begin with the ones place (9+4), which equals 13. You put down the 3 and carry over the 1 to the next place. After the first step the result would look like this: 790_3 with 1 carried over. Next, you add the numbers in the tens place (0+4) and the carried over 1, which equals 5. So the result after the second step would look like this: 79_53. You then move to the hundreds place. Since there is no number to add with 9, you simply carry it down. So the result after the third step would look like this: 7_953. Finally, you add the numbers in the thousands place (7+1), which equals 8. Therefore, the final result of 7909 + 1044 using the addition algorithm is 8953. Learn more about Addition Algorithm here:
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From least to greatest 1.34,1 1/3,1 6/8,1.034?
What is the range of f(x) = c?
O
{0}
0 (-00,00)
{c}
[0, 0)
An art teacher is hosting a summer art
camp. He has a total of $180 to purchase
snacks, drinks, and art supplies. He buys 45
bags of chips at $0.55 each and 45 juice
boxes at $0.80 each. How much money does
he have left to spend on art supplies?
Answer:
$119.25
Step-by-step explanation:
$0.55.×45= $24.75
$0.80×45= +$36.00
$180.00- $ 60.75= $119.25
Hope it helps :)
The amount of money he has left to spend on art supplies is $119.25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that an art teacher is hosting a summer art camp. He has a total of $180 to purchase snacks, drinks, and art supplies. He buys 45 bags of chips at $0.55 each and 45 juice boxes at $0.80 each.
$0.55.×45= $24.75
$0.80×45= +$36.00
$180.00- $ 60.75= $119.25
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On a number line, will the square root of 20 be closer to 4.4 or 4.5
Answer: 4.5 would be closer
Step-by-step explanation: 4.4x4.4 is 19.36 which is about 64 points away and 4.5x4.5 is 20.25 which is 25 points away
Answer:
4.5
Step-by-step explanation:
Nearest of square root of 20
[tex]\sqrt{20}[/tex]
To choose closer from two numbers 4.4 or 4.5
First we find the square of both number.
Square of 4.4
[tex]4.4^2 = 19.36[/tex]
Square of 4.5
[tex]4.5^2=20.25[/tex]
Now compare the closer number from 20
Difference of, 20.25 - 20 = 0.25
Difference of, 20-19.36 = 0.64
As we know, 0.25<0.64
Hence, On number line square root closer to 4.5
Twenty-seven is
% of 60
help mee asap
Answer: The answer is: " 45 % " .
________________________________________________
→ " Twenty-seven is 45 % of 60. "
________________________________________________
Step-by-step explanation:
________________________________________________
The question asks:
" 27 is what % {percentage] of 60 " ? ;
________________________
So: " 27 = (n/100) * 60 " ; Solve for "n" ;
________________________________________________
Method 1:
________________________________________________
→ (n/100) * 60 = 27 ;
Divide each side by 60 :
→ [ (n/100) * 60 ] / 60 = 27 /60 ;
to get:
→ (n/100) = 27/60 ;
Now: Cross-factor multiply:
→ 60n = (27)*(100) ;
to get:
→ 60n = 2700 ;
Divide each side by "60" ;
→ 60n = 2700/ 60 ;
to get: n = 45 ;
________________________
→ The answer is: 45 % .
→ " Twenty-seven is 45 % of 60."
________________________________________________
Method 2:
________________________________________________
The question asks:
" 27 is what % {percentage] of 60 " ?
________________________
To solve this problem:
Rephrase this question as:
________________________
" 27 is 60% of what number ? "
→ The answer will be the same!
________________________
→ 27 = (60/100)* n ; Solve for "n" ;
Multiply each side of the equation by "100" ; to eliminate the fraction:
→ 100 * 27 = 100 * [ (60/100)* n ] ;
to get:
→ 2700 = 60n ;
↔ 60n = 2700 ;
Divide Each Side of the equation by "60" ;
→ 60n/60 = 2700 / 60 ;
to get: n = 45 ;
________________________________________________
→ The answer is: 45 % .
→ " Twenty-seven is 45 % of 60."
________________________________________________
Method 2: Variant 1 of 2:
________________________________________________
When we have:
→ 27 = (60/100)* n ; Solve for "n" ;
________________________
Note that: "(60/100) = (60÷ 100) = (6 ÷ 10)" ; since: in "(60/100)" ; the "zero" from the "numerator" cancels out; And: the "last zero" in "100" — from the "denominator" cancels out; since we are dividing "each side" of the fraction by "10" ;
→ "(60÷10) / (600÷10)" = " 6/10 " ;
→ " (6/10)" ; that is; "six-tenths"} ;
→ can be represented by: " 0.6 " ;
→ {by convention; but specifically, here is the explanation} — as follows:
________________________
→ "(6/10)" = " (6 ÷ 10) " ;
Note: When dividing a number by "10" ; we take the original number; and move the decimal point to the left; & then we rewrite that number as the "answer".
Note: When multiplying or dividing by a positive, non-zero integer factor of "10" that has at least 1 (one) "zero" after that particular factor of "10". We can get the answer by taking the original number & moving the decimal point the number of spaces as designated by the number of zeros following the particular [aforementioned factor of "10".].
We move the decimal point to the right if we are multiplying; and to the left if we are dividing. In this case, we are dividing "6" by "10 " :
→ " 6 ÷ 10 = ? " ;
→ " 6. ÷ 10 = ? " ;
We take the: " 6. " ; and move the decimal point "one space backward [i.e. "to the left"]; since we are dividing by "10" ;
→ to get: " .6 " ; & we rewrite this value as "0.6" in a rewritten equation:
________________________
So; we take our equation:
→ 27 = (60/100)*n ; And rewrite—substituting "0.6" for
"(60/100)"— as follows:
________________________
→ 27 = (0.6)n ; ↔ (0.6) n = 27 ;
Multiply each side of the equation by "10" ; to eliminate the decimal:
→ 10 * [ (0.6)n ] = 27 * 10 ;
to get:
→ 6n = 270 ;
Divide each side of the equation by "6" ; to isolate "n" on one side of the equation; & to solve for "n" ;
→ 6n / 6 = 270 / 6 ;
to get: n = 45 ;
________________________________________________
→ The answer is: 45 % .
→ " Twenty-seven is 45 % of 60."
________________________________________________
Method 2 (variant 2 of 2):
________________________________________________
We have the equation: 27 = (60/100)* n ; Solve for "n" ;
________________________
Note: From Method 2 (variant) 1 of 2— see above):
________________________
Note: Refer to the point at which we have:
________________________
→ " { (60÷10) / (600÷10)" = " (6/10) " ; that is; "six-tenths"} ;
________________________
Note that the fraction— "(6/10)" ; can be further simplified:
→ "(6/10)" = "(6÷2) / (10÷2)" = "(3/5)" ;
Now, we can rewrite the equation;
→ We replace "(60/100)" ; with: "(3/5)" :
→ 27 = (3/5)* n ; Solve for "n" ;
↔ (3/5)* n = 27 ;
↔ (3n/5) = 27 ;
Multiply Each Side of the equation by "5" ;
→ 5* (3n/5) = 27 * 5 ;
to get:
→ 3n = 135 ;
Divide Each side of the equation by "3" ; to isolate "n" on one side of the equation; & to solve for "n" ;
→ 3n / 3 = 135 / 3 ;
to get: n = 45 ;
________________________________________________
→ The answer is: 45 % .
→ " Twenty-seven is 45 % of 60."
________________________________________________
Hope this answer is helpful!
Wishing you the best in your academic endeavors
— and within the "Brainly" community!
________________________________________________
Answer and Step-by-step explanation:
[tex]27[/tex] of [tex]60[/tex] is [tex]45[/tex]%
Working out in percentage :
[tex]27[/tex] of [tex]60[/tex] can be written as :
[tex]\frac{27}{60}[/tex]
Multiplying both the numerator and denominator by [tex]100[/tex] :
[tex]\frac{27}{60} *\frac{100}{100}= \frac{45}{100}=45[/tex]%
So the answer to your question is [tex]27[/tex] of [tex]60[/tex] is [tex]45[/tex] %
1. Find the sum.
109.526 + 36.42
Also show the work please
Answer:
Step-by-step explanation:
solve 2x-3|x+1|=-2x-11
Hey!
----------------------------------------------------
Solution:
2x - 3|x + 1| = -2x - 11
2x - 3|x + 1| + (-2x) = -2x - 11 + (-2x)
-3|x + 1| = -4x - 11
-3|x + 1|/-3 = -4x - 11/-3
|x + 1| = 4/3x + 11/3
x + 1 = -(4/3x + 11/3)
x + 1 + 4/3x = 4/3 + -11/3 + 4/3x
7/3x + 1 = -11/3
7/3x + 1 - 1 = -11/3 - 1
7/3x = -14/3
7/3x * 3/7 = -14/3 * 3/7
x = -2
----------------------------------------------------
Check:
2(-2) - 3|-2 + 1| = -2(-2) - 11
(-4) - 3|-1| = (4) - 11
(-4) - 3 = (4) - 11
-7 = -7
----------------------------------------------------
Answer:
x = -2
----------------------------------------------------
Hope This Helped! Good Luck!
what the answer tonthis question 10x=-4(2x-9)
10x = 4(2x -9)
10x = 8x - 36
10x - 8x = -36 - 8x
2x = -36
2x ÷ 2 = -36 ÷ 2
x = -18
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
A pack of gum contains 30 sticks. If the pack of gum costs $1.79, what is the most appropriate price per stick of gum?
The most appropriate price per stick of gum should be $0.5966.
Given that,
A pack of gum contains 30 sticks. If the pack of gum costs $1.79Based on the above information, the calculation is as follows:
[tex]= 30\div 1.79[/tex]
= 0.5966
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what will the new dimensions of the rectangle be after a dilation with a scale factor of 9/4
Answer:
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Step-by-step explanation:
we know that
The new dimensions of the rectangle, after a dilation will be equal to the original dimensions multiplied by the scale factor
we have
The scale factor is 9/4
Original length =32 ft
Original width=8 ft
Find the new dimensions after dilation
New length=(9/4)32=72 ft
New width=(9/4)8=18 ft
therefore
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Answer:
The scale factor is 9/4
Original length =32 ft
Original width=8 ft
New length=(9/4)32=72 ft
New width=(9/4)8=18 ft
The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft
Step-by-step explanation:
Ava’s newest financial goal is to eliminate the remainder of her student loan debt. She has about $8,950 left on her student loans. She determines that she can afford to make monthly payments of about $360. To track her progress, she plans to create a graph to model her situation. How should Ava label and scale her graph?
A.
x-axis scale, 0–20; label, Total Remaining Debt ($)
Y-axis scale, 0–9,000; label, Months
B.
x-axis scale, 0–30; label, Months
Y-axis scale, 0–9,000; label, Total Remaining Debt ($)
C.
x-axis scale, 0–20; label, Years
Y-axis scale, 0–9,000; label, Total Remaining Debt ($)
D.
x-axis scale, 0–30; label, Total Remaining Debt ($)
Y-axis scale, 0–9,000; label, Years
E.
x-axis scale, 0–20; label, Total Remaining Debt ($)
Y-axis scale, 0–9,000; label, Years
Answer:
B.
x-axis scale, 0–30; label, Months
Y-axis scale, 0–9,000; label, Total Remaining Debt ($)
Step-by-step explanation:
According to given data
Debt = $8950
Monthly payment = $360
Now we can calculate the total period required to eliminate the debt
Total months to eliminate debt = Total Debt/Monthly installment
Total months to eliminate debt = 8950/360
Total months to eliminate debt = 24.8 months
Now, by this calculate, we can say that it is only logical to plot time in graph with months, not years or days. Because if we plot graph with days, it will be too lengthy, on the other hand, if we plot graph with years, it will shrink to much and it will become very difficult to read it and estimate the progress. So all options with time in other than month will be eliminated and we will be left with option B. Notice that option a will be eliminated because we need to plot graph for 24.8 months but it contains 9000 months, which means 750 years. So it will be illogical to plot graph on this scale.
Answer:
x-axis scale, 0–30; label, Months
y-axis scale, 0–9,000; label, Total Remaining Debt ($)
Step-by-step explanation:
For the time scale you must have a value that goes over 25, and the units of months, not years. For the Remaining Debt scale the value needs to be in a range that goes over $8950
Reflect (4,-9) across the y-axis. Then reflect the result across the x-axis. What are the coordinates of the final point?
Answer: (-4,9)
Step-by-step explanation:
After applying the sequence of transformations, the coordinates of the final point are (-4, 9).
How to determine the new vertices or coordinates of the image?In Mathematics and Geometry, a reflection over or across the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the coordinates of the point (4, -9), we have the following new coordinates for the image;
(x, y) → (-x, y)
(4, -9) → (-4, -9)
By applying a reflection over the x-axis to the coordinates of the point (-4, -9), we have the following new coordinates for the image;
(x, y) → (x, -y)
(-4, -9) → (-4, -(-9)) = (-4, 9)
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Why did the obtuse Angle go to the beach
An obtuse angle is any angle larger than 90 degrees and less than 180 degrees. In other words, if the angle formed where two line segments meet goes beyond a right angle, it's obtuse.
Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles. Angles that are 180 degrees (θ = 180°) are known as straight angles.A coat hanger as well as the angle of a roof creates an obtuse angle, because they both contain an obtuse interior angle.Learn more:
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Please answer this correctly
Is the answer
Blue marble
Pink marble
Yellow marble or
The red marble
The red marble is farthest from the target.
Consider the equation 8x + 5 = 37. Write a real-life scenario that this equation could model.
Answer:
Dave has been introduced to a new phone service. They charge a monthly fee of $5 and each phone call made out of country is $8. How much phone calls did Dave made out of country if his bill this month was 37?
The equation represents a membership of a gym, where there is a $5 charge for membership and a per month charge of $8 and x represents the number of months when the total charge becomes $37.
To imply the given equation 8x + 5 = 37 in the rel life scenario.
What is the equation?The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
Equation 8x + 5 = 37
Let's assume that, we are in the gym and the membership charge of the gym is 5$ and after months the charge becomes $37
And gym charges $8 per month after membership where x represents the number of months when the charge becomes $37.
Thus, the way the equation is implemented in the real-life scenario is shown above.
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Given the sequence below, and that sequence has a domain of n 2 1, find the third
term.
f(n) = 3n+2
Answer:
11Step-by-step explanation:
f(n) = 3n + 2, n ≥ 1
Substitute n = 3:
f(3) = 3(3) + 2 = 9 + 2 = 11
The third term of the sequence is 11 given that that the sequence has a domain of n ≥ 1 and f(n) = 3n + 2. This can be obtained by substituting 3 in the sequence since we have to find the third term.
What is a sequence ?Sequence is an ordered list of terms with a specific order.For example, 3, 7, 11, 15, ...Calculate the third term :
Given that, the sequence ⇒ f(n) = 3n + 2
Since n ≥ 1, first term will be ⇒ f(1) = 3(1) + 2 = 5
Second term will be f(2) = 3(2) + 2 = 8
Third term will be f(3) = 3(3) + 2 = 11
Thus the sequence is 5, 8, 11, ... and the third term is 11.
Hence the third term of the sequence is 11 given that that the sequence has a domain of n ≥ 1 and f(n) = 3n + 2.
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