The value of expression is,
x = - 5
Here;
The written expression is;
''Four times the difference of a number and 5 is the same as 5 increased by four times the number plus five times the number.''
We have to solve this expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
Let a number is 'x'.
Then, The mathematical expression is written as;
4* ( x - 5 ) = 5 + (4*x) + (5*x)
We can solve as;
4* ( x - 5 ) = 5 + (4*x) + (5*x)
4x - 20 = 5 + 4x + 5x
- 20 - 5 = 4x + 5x - 4x
- 25 = 5x
x = -5
Hence, The value of expression is,
x = - 5
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A company can produce as many as 50 mountain bikes and as many as...
The other constrain would be the number of hours it takes to make each one.
4 hours for a mountain bike would be 4x
5 hours for a road bike would be 5y
The hours need to be less than or equal to a total of 300 hours.
The missing constraint would be 4x + 5y ≤ 300.
Answer:
4x + 5y ≤ 300
Step-by-step explanation:
x: no of mt bike n y: no. of road bike
4 labor hrs for 1 mt bike n 5 labor hrs for 1 road bike
company has at most 300 labor hrs per day
so the contraint is 4x + 5y ≤ 300
Pooja's plant began sprouting 2days before Pooja bought it, and she had it for 98 days until it died. At its tallest, the plant was 30entimeters tall. H(t) models the height of Pooja's plant (in centimeters), t days after she bought it. Which number type is more appropriate for the domain of h? Choose 1 answer: Choose 1 answer:
Answer:
2 (less than or equal to) t (less than or equal to) 98, Real Numbers
Step-by-step explanation:
2 (less than or equal to) t (less than or equal to) 98, Real Numbers
:) hope this helps!
The domain of the function H(t), which models the height of a plant over time, would consist of integers ranging from -2 to 98 to represent each day of the plant's growth, including the two days before purchase.
Explanation:The question at hand is asking which type of number is more appropriate for the domain of a function, H(t), that models the height of Pooja's plant (in centimeters) t days after she bought it. The domain of a function includes all the possible inputs for the function, in this case, the number of days after Pooja bought the plant. Considering Pooja's plant sprouted 2 days before she bought it and lasted for 98 days, the best number type for the domain would be integers since the days are counted in whole numbers. However, if we include the 2 days before she bought it, the domain in context would be from -2 to 98. Therefore the domain would be {-2, -1, 0, 1, 2, ..., 98}, which are all integers.
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Please help and show work!!
12 - x < 8
add x to both sides
12 - x + x < 8 + x
12 < 8 + x
re-write
8 + x > 12
Subtract 8 to both sides
8 + x - 8 > 12 - 8
x > 4
The graph B is matching the answer (x > 4)
So answer is B.
Let's solve your inequality step-by-step.
12−x<8
Step 1: Simplify both sides of the inequality.
−x+12<8
Step 2: Subtract 12 from both sides.
−x+12−12<8−12
−x<−4
Step 3: Divide both sides by -1.
−x
−1
<
−4
−1
x>4
Answer:
x>4
NOTE step 3 i was tryna do a fractions it aint work out so good soo i like added a pic
You have an allowance of $12.00. You buy a discount movies ticket that costs at least $3.50 and popcorn that costs $2.75. HOw much do much do you have for other spending?
Given
You have an allowance of $12.00
discount movies ticket that costs at least $3.50
popcorn that costs $2.75.
Find out the how much do much do you have for other spending.
To proof
Let us assume that the money for the other spending be x.
As given
total allowance = $12.00
discount movies ticket that costs at least = $3.50
popcorn costs = $2.75
than the inequality written in the form
3.50 + 2.75 + x ≤ 12.00
6.25 + x ≤ 12.00
x ≤ 5.75
you have money for other spending is atmost 5.75
when the movies ticket that costs at least $3.50
Hence proved
Final answer:
After purchasing a discounted movie ticket for at least $3.50 and popcorn for $2.75 from an allowance of $12.00, the student will be left with $5.75 for other spending.
Explanation:
The student is given a scenario involving budgeting and calculating remaining allowance after certain purchases. To find out how much money is left for other spending after purchasing a discounted movie ticket and popcorn, we subtract the total cost of these items from the initial allowance.
If the student has an allowance of $12.00 and buys a movie ticket for at least $3.50 and popcorn for $2.75, the calculation for the remaining allowance will be as follows:
Minimum amount spent on movie ticket: $3.50Amount spent on popcorn: $2.75We add these two amounts to find the total spent:
Total spent = $3.50 + $2.75 = $6.25
We then subtract the total spent from the initial allowance:
Remaining allowance = $12.00 - $6.25 = $5.75
Therefore, the student will have $5.75 left for other spending.
A piece of fabric is 1/3 yard by 3 5/8 yards. Irma solves 1/3⋅3 5/8 to find the area of the fabric in square yards. Enter numbers to complete irma's calculation for the area.
For this case we have:
The area of the piece of fabric is given by [tex]A = a * b[/tex]
Where
[tex]a = \frac{1}{3}yards[/tex]
[tex]b = 3 \frac{5}{8}yards[/tex]
Substituting in the formula of the area we have:
[tex]A = \frac{1}{3}* 3 \frac{5}{8}\\[/tex]
[tex]A = \frac{1}{3}* (3 + \frac{5}{8})\\[/tex]
[tex]A = 1 + \frac{5}{24}[/tex]
[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
Thus, the area of the piece of fabric is given by: [tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
Answer:
[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
1/3 x 3 5/8 = (1/3 x 3) + (1/3 x 5/8)
= 3/3 + 5/24
= 29/24
If 1 mile is equal to 1.61 kilometers, how many kilometers are there in 50 miles
There are 80.5 kilometres in 50 miles.
1 mile= 1.61 km
50 miles= x
1x= 50*1.61
x=80.1
80.1 kilometers
Which line has a slope of 0?
x=1
3y+6x=0
y=x
y=-5
1. Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable
2.What
is the best estimate for the average cost of tuition at a 4-year institution
starting in 2000.
3.What
is the best estimate for the average cost of tuition at a 4-year institution
starting in 2020. (Hint: Use the graph from desmos, or your equation from part
A).
4. What
does the slope mean in context of the situation?
5. Most
students are not able to afford this tuition for 4 years. What are some ways
that you can lower the cost of your college tuition? If you don’t plan to
attend college, what things can do you post- HS graduation to continue your
education or provide for yourself financially?
Hello,
Please, see the attached files.
Thanks.
the perez family has a rectangle fish tank. How much water will the tank hold if its length is 3 feet, its width is 2 feet, and its high is 3 feet
Hello there
Since there is 1 foot water in the tank the total volume = 3*2 * 1
= 6 cubic feet.
volume of 6 cu. feet corresponds to 1 foot of water in height, this will help you find your answer
The Perez family's rectangular fish tank can hold 18 cubic feet of water by multiplying the length, width, and height (3ft x 2ft x 3ft).
To calculate the amount of water the Perez family's rectangular fish tank can hold, we use the formula for the volume of a rectangle, which is length * width * height.
Given:
Length (l) = 3 feetWidth (w) = 2 feetHeight (h) = 3 feetThe volume (V) is calculated as:
V = l * w * h
V = 3 feet * 2 feet * 3 feet
V = 18 cubic feet
Therefore, the rectangular fish tank can hold 18 cubic feet of water.
F(n) = 900 - 60(n-1) represent the amount oscar still need to repay on a loan at the beginning of month n .Find the amount oscar pays monthly and the month in which he will make his last payment.
Answer:Each installment will be of 60 and 16th will be the last payment.
Step-by-step explanation:
To find the monthly repayment by Oscar we first find the sequence.
For that first we put [tex] n=1 [/tex] in
[tex] F(n)=900-60(n-1)[/tex]
[tex] F(1)= 900-60(1-1) = 900 [/tex]
Now for [tex]n=2 [/tex]
[tex] F(2)=900-60(2-1)=840[/tex]
For [tex]n=3[/tex]
[tex] F(3)=900-60(3-1)=900-120=780[/tex]
So the sequenxe is 900,840,780......
As the amount is decreasing by 900-840=840-780=60
Therefore each installment will be equal to 60
For last payment amount will become 0
i.e.[tex]F(n) =0[/tex]
[tex] 900-60(n-1)=0[/tex]
[tex] 900-60n+60=0 [/tex]
[tex] 960=60n [/tex]
[tex]n = 960\div60[/tex]
[tex]n = 16 [/tex]
Last month will be 16th
The amount Oscar pays monthly is $900, and he will make his last payment in month 16.
Explanation:To find the amount Oscar pays monthly, we can subtract the amount he repays in each month from the previous month's balance. The formula F(n) = 900 - 60(n-1) represents the remaining amount Oscar needs to repay at the beginning of month n. By plugging in n = 1, we can find the initial balance and the amount he paid that month. To find the month in which he makes his last payment, we can set F(n) to zero and solve for n.
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Which two square roots are used to estimate√8?
A. √2 and √3
B. √3 and √4
C. √4 and √9
D. √9 and √16
Which two square roots are used to estimate √42
A. √25 and √36
B. √36 and √49
C. √49 and √64
D. √25 and √64
Answer:
Option C.
Option B.
Step-by-step explanation:
By definition, the square of a number is that number times itself.
The square root of a perfect square is a whole number.
Since the square root of another number (not perfect square) is not a whole number, you can estimate it finding two perfect square roots that number is between.
1) Observe that 4 and 9 are perfect squares:
[tex]4=2^2\\9=3^2[/tex]
And 8 is between those numbers.
Therefore, the square roots [tex]\sqrt{4}[/tex] and [tex]\sqrt{9}[/tex] are used to estimage [tex]\sqrt{8}[/tex]
2) Notice 36 and 49 are perfect squares:
[tex]36=6^2\\49=7^2[/tex]
And 42 is between those numbers.
Therefore, the square roots [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex] are used to estimage [tex]\sqrt{42}[/tex]
The square roots used to estimate √8 are √4 and √9 while the square roots to estimate √42 are √36 and √49.
Explanation:The two square roots that are used to estimate √8 are √4 and √9 since the value of √8 falls between the value of these two square roots (2 and 3). The reason why these are chosen is due to √8 being greater than √4 and less than √9. Similarly, the two square roots to estimate √42 are √36 and √49. The square root of 42 is more than the square root of 36 (which is 6) and less than the square root of 49 (which is 7). Therefore, to estimate the square roots, we find two perfect squares that the number falls between.
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Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completing?
Two intersecting circles are drawn with a radius in each marked. the image will be linked
An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle
Given options : Two intersecting circles are drawn with a radius in each marked. the image will be linked.
Given options : An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle.
Note. When we join an intersection point of two circles and centers of the circles it would form an equilateral triangle that would be inscribe inside a common portion of both circles..
Therefore, an equilateral triangle inscribed in a circle would be correct option.
She is completing an equilateral triangle inscribed in a circle.
Using the variable x, translate the sentence into an equation. Solve the resulting equation.
the sum of 4 and a number is 18
Jill's fish weighs 8 times as much as her parakeet. Together they weight 63 ounces. How much does the fish weight
Solve the equation. 4n - 18 = 52
Equation step-by-step:
4n - 18 = 52 → we take -18 to the right side of the equation
4n = 52 + 18 → we solve for 52 + 18
4n = 70 → we take 4 to the right side of the equation
n = 70 / 4 → we solve for 70 / 4
n = 17,5 → final answer
Hope it helped,
BioTeacher101
To find 12times 13 i double 13and halve 12and then multiply.
HELP ME PLS
I
BEG
OF
YOU
I
CAN
NOT
FAIL
I
NEED
HELP
PLS
PLEASEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!
Answer: R' = [tex](3\frac{1}{3} ,1\frac{2}{3})[/tex], S' = [tex](3\frac{1}{3} ,-3\frac{1}{3})[/tex], T' = [tex](-1\frac{2}{3} ,-3\frac{1}{3})[/tex]
Step-by-step explanation:
R = (2, 1) ⇒ R' = [tex](\frac{5}{3})2 , (\frac{5}{3})1 = (\frac{10}{3} , \frac{5}{3})[/tex]
S = (2, -2) ⇒ S' = [tex](\frac{5}{3})2 , (\frac{5}{3})(-2) = (\frac{10}{3} , \frac{-10}{3})[/tex]
T = (-1, -2) ⇒ T' = [tex](\frac{5}{3})(-1) , (\frac{5}{3})(-2) = (\frac{-5}{3} , \frac{-10}{3})[/tex]
Plot the coordinates.
These four elements are most likely in group 15. 16. 17. 18.
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Write me equation for each translation of y = |x| of 6 units down
Nuclear power provided 78% of the energy used in france in 2005. Write 0.78 as a fraction in simplest form.
Here we are given first that Nuclear power provided 78% of the energy used in france in 2005.
Now this was written in decimal as 0.78.
Then we have to write it in fraction form.
So first we have here two digits after the decimal, so in denominator we will have 100,
[tex]\frac{78}{100}[/tex]
Now we have to convert this into simplest form.
For that we have to find HCF of 78 and 100.
The HCF of 78 and 100 is 2, so we will divide both numerator and denominator by 2,
[tex]\frac{78/2}{100/2}[/tex]
This gives us:
[tex]\frac{39}{50}[/tex]
Answer: The simplest form of 0.78 as as fraction is 39/50.
Which of the following equations describes a line with an x-intercept of 3? A. x + y = −3 B. x − y = −3 C. x = 3
The correct equation which describes a line with an x-intercept of 3 is C. x = 3. This implies a vertical line where the x-value is always 3, regardless of the y-value.
Explanation:In response to your query about which of the following equations describes a line with an x-intercept of 3, the direct answer is C. x = 3. An x-intercept is the point where a line crosses the x-axis. For an equation to have an x-intercept of 3, it means that when y is 0, x equals 3. By plotting this on a graph, y can be any real number, but x will always stay 3. Therefore, the equation x = 3, which option C represents, is the correct description for a line with an x-intercept of 3.
It's important to note that, in terms of linear equations (generally represented as y = mx + b, where m represents the slope and b represents the y-intercept), x = 3 can be perceived as a vertical line that intersects the x-axis at point 3.
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If mrs.Dimas has $130 to buy basketballs for edison middle school.How many can she buy at $15 each?Interpret the remainder
Mrs. Dimas should have $10 left over, you will also be able to buy 8 basketballs.
roberto had 88$, which is eleven times as much money as bianca had. how much money did bianca have?
The answer is 8.
You divide 88 by 11 to find out how much Bianca haves.
In 2012,five u.S. Postal stamps cost money 2.20.How much did seven stamps cost
Answer:
$3.08
Step-by-step explanation:
First you have to find how much each stamp costs. So u take 2.20 ÷ 5 = 0.44.
Next you take 0.44 x 7 and you should get $3.08
Multiply (x-3(4x+2) using the distributive property.
Chose the answer below that shows the correct distribution
A.(x-3)(4x)+(4x)(2)
B.(x)(4x+2)+(x-3)
C.(x)(4x)+2(x)+4x+2
D.(x-3)(4x)+(x-3)(2)
D. (X-3)(4x)+(x-3)(2)
Answer:
[tex](x-3)(4x)+)x-3)(2)[/tex]
Step-by-step explanation:
Multiply [tex](x-3)(4x+2)[/tex] using the distributive property.
Distributive property is a(b+c) is a times b + a times c
Distribute a inside the parenthesis
When we are given with two parenthesis , we distribute first parenthesis inside the second parenthesis
In the given expression, distribute (x-3) inside the second parenthesis
[tex](x-3)(4x+2)[/tex]
[tex](x-3)(4x)+)x-3)(2)[/tex]
Carson evaluated 23÷34 and got an answer of 89. Which statement is true about his answer?
Answer:
It is correct because 8/9x3/4=2/3
Step-by-step explanation:
Carlie spent $42 at the salon. Her mother loaned her the money. Carlie will pay her mother 15% of $42 each week until the loan is repaid. About how many weeks will it take carlie to repay her mother.
-20 less than or equal to 2x -20 less than or equal to 30
Answer = 0 ≤ x ≤ 25
Explanation:
Break the word equation into two for better understanding
-20 less than or equal to 2x -20 >>>> -20 ≤ 2x -20
2x -20 less than or equal to 30 >>>> 2x -20 ≤ 30
Keeping in view the question we deduce the equation
-20 ≤ 2x -20 ≤ 30
Solve and simplify the above equation accordingly, by breaking down the equation
-20 ≤ 2x -20 and 2x -20 ≤ 30
-20+20 ≤ 2x and 2x ≤ 30 +20
0 ≤ x (0/2) and x ≤ 25 (50/2)
So, 0 ≤ x ≤ 25
Please help!
The equation x² + y² − 2x + 6y + 3 = 0 is equivalent to...
A. (x − 1)² + (y + 3)² = −3
B. (x − 1)² + (y + 3)² = 7
C. (x + 1)² + (y + 3)² = 7
D. (x + 1)² + (y + 3)² = 10
The equation x² + y² − 2x + 6y + 3 = 0 is equivalent to (x − 1)² + (y + 3)² = 7
The standard equation of a circle is expressed as
x² + y² + 2gx + 2fy + C = 0
Given the equation x² + y² − 2x + 6y + 3 = 0. Using the completing the square method to write its equivalent
x² - 2y + y² + 6y + 3 = 0
( x² - 2y + 1) - 1 +(y² + 6y + 9) - 9+ 3 = 0
(x-1)² - 1 +(y + 3)² - 6 = 0
(x-1)² + (y + 3)² = 7
Hence the equation x² + y² − 2x + 6y + 3 = 0 is equivalent to (x − 1)² + (y + 3)² = 7
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50 Points
The graph shows the relationship between time and distance as Pam rides her bike. During which time period was the rate of change the greatest?
A) 0 to 5 minutes
B) 5 to 15 minutes
C) 5 to 20 minutes
D) 20 to 35 minutes
The time period which has the greatest rate of change is from 0 to 5 minutes, because the steeper the line is, the greater the slope is. Hope this helps!
[tex]0-5\ min\\\\\dfrac{3\ km}{5\ min}=0.6\ \dfrac{km}{min}\\\\5-20\ min\\\\\dfrac{(4-3)\ km}{(20-5)\ min}=\dfrac{1\ km}{15\ min}\approx0.067\ \dfrac{km}{h}\\\\20-35\\\\\dfrac{(6-4)\ min}{(35-20)\ min}=\dfrac{2\ km}{15\ min}\approx0.133\ \dfrac{km}{min}\\\\0.067 < 0.133 < 0.6\\\\Therefore\ your\ answer\ is: A)\ 0\ to\ 5\ minutes[/tex]