Answer:
Step-by-step explanation:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
u earn $ 8....thats +8
a temp of 8 F....thats a +8
an 8 yd pass....thats a + 8
Answer:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
32 loaves of bread total, wheat loaves has 8 more then the rye loaves. How many wheat loaves are there?
Answer:
Step-by-step explanation:
Let the no. Of rye bread = x
Wheat bread = x + 8
The total bread is 32
: x + x + 8 = 32
2x = 32 - 8
2x = 24
x = 24/2
x = 12
No. Of wheat bread = x + 8 = 12+8
No. Of wheat bread = 20
Answer:
Wheat loaves is 20
Step-by-step explanation:
Let wheat loaves be A
And rye loaves be B
A + B = 32
Hence A = B + 8
So, B + B + 8 = 32
2B = 24
B = 12
A = 20
How dose 4x+7=19. Work
Answer:
3
Step-by-step explanation:
4x+7=19
4x=19-7
4x=12
x=12/4
x=3
hemraj made $135 for 9 hours of work. at the same rate, how many hours would he have to work to make $165?
Answer:
11 hrs
Step-by-step explanation:
so he made 135 for 9 hrs.....thats (135/9) = $ 15 an hr
so if he made 165, he would have to work (165/15) = 11 hrs <==
What is the remainder when 16,055 is divided by 16? Please i need help
Answer:
16,055/16 = 1003
The remainder would be 7
Step-by-step explanation:
Simplify the expression 2j+4j+j+7
Answer:
7j+7
Step-by-step explanation:
2j+4j+j+7
combine like terms
7j+7
Sorry I don't really know how to explain it, but you just have to combine terms with the same unit
3x – 2y = 24
x + 2y = 48
x=??
y=??
Final answer:
By using the elimination method to solve the given system of linear equations, we find that x = 18 and y = 15.
Explanation:
We are looking to solve the system of linear equations:
3x – 2y = 24
x + 2y = 48
To find the values of x and y, we can use substitution or elimination methods. In this case, the elimination method is very straightforward since the y coefficients in the two equations are additive inverses. If we add both equations together, the y terms will cancel out:
3x + x = 24 + 48
4x = 72
Dividing both sides by 4 gives us the value of x:
x = 18
To find y, we can substitute x back into either of the original equations. Let's use the second equation:
18 + 2y = 48
Subtracting 18 from both sides:
2y = 30
Dividing by 2:
y = 15
Thus, the solution to the system of equations is x = 18 and y = 15.
Is 16.275 greater then 16.28
Answer:
no
Step-by-step explanation:
16.28 can also be written 16.280 (you could add as many zeros to the end as you want its still the same number)
280 is bigger than 275
95-a (b+c) when a=9, b= 3, and c = 7.4
Answer:
95-9 (3+7)
95-9 (10)
86 (10)
= 8600
Step-by-step explanation:
how many solutions does the system of inequalities graphed below have?
A. 0
B. 1
C. 2
D. infinitely many
Answer:
A 0
Step-by-step explanation:
because the lines are a paraell and they don't touch
A solution is a point that is in both shaded regions at the same time. This is impossible due to the fact the regions do not overlap. This is like saying there is a number larger than 1 and this same number is less than -1 at the same time. This is why there are no solutions to this system of inequalities.
evaluate the variable expression when a=-4, b=2, c=-3, and d =4. b-3a/bc^2-d
Answer:
Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is
[tex]\dfrac{b-3a}{bc^{2}-d}=1[/tex]
Step-by-step explanation:
Evaluate:
[tex]\dfrac{b-3a}{bc^{2}-d}[/tex]
When a=-4, b=2, c=-3, and d =4
Solution:
Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get
[tex]\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\[/tex]
[tex]\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1[/tex]
Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is
[tex]\dfrac{b-3a}{bc^{2}-d}=1[/tex]
Your neighbor has decided to enlarge his garden. The garden is rectangular with width 6 feet and length 15 feet. The new garden will be similar to the original one, but will have a length of 35 feet. Find the perimeter of the original garden and the enlarged garden.
Answer:
Original garden: 42 feet
Enlarged garden: 98 feet
Step-by-step explanation:
Perimeter = length (2) + width (2)
Original perimeter:
P = 15(2) + 6(2)
P = 30 + 12
P = 42 feet
In this problem, similar is proportional, so the new garden will be proportional to the old one.
If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).
Enlarged perimeter
P = 35(2) + 14(2)
P = 70 + 28
P = 98 feet
Final answer:
The perimeter of the original rectangular garden is 42 feet, and the perimeter of the enlarged garden, which is similar in proportion to the original, is 98 feet.
Explanation:
The original garden has a width of 6 feet and a length of 15 feet. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter of the original garden is 2(6 feet + 15 feet) = 2(21 feet) = 42 feet.
Since the new garden is similar to the original one, and its length is 35 feet, it means that the width will also increase in the same proportion. The original length to width ratio is 15:6 which simplifies to 5:2. Applying this ratio to the new length of 35 feet will give us the new width:
35 feet / 5 = 7 feet (per unit of the ratio)
7 feet * 2 = 14 feet (new width)
The perimeter of the enlarged garden is then 2(14 feet + 35 feet) = 2(49 feet) = 98 feet. So, the perimeter of the original garden is 42 feet and the perimeter of the enlarged garden is 98 feet.
The sum of three consecutive even numbers is 84. What is the smallest of the three numbers?
Answer: 26
Step-by-step explanation: In this problem we have 3 consecutive even numbers whose sum is 84 and it asks us to find the smallest number.
Consecutive even numbers can be represented as x, x + 2, and x + 4.
Since the sum of these is 84, our equation reads
x + (x + 2) + (x + 4) = 84.
Simplifying on the left we get 3x + 6 = 84.
Subtract 6 from both sides and we have 3x = 78.
Divide both sides by 3 and x = 26.
So our smallest number is 26.
To find the smallest of three consecutive even numbers that sum up to 84, we set up an equation and solve for 'x', where 'x', 'x+2', and 'x+4' represent the numbers. Solving this gives us the smallest number, which is 26.
Explanation:Finding the Smallest of Three Consecutive Even NumbersIf the sum of three consecutive even numbers is 84, we can find the smallest number by setting up an equation. Let's denote the smallest even number as 'x'. The next consecutive even number would be 'x + 2', and the one after that would be 'x + 4'. The sum of these three numbers should equal 84:
x + (x + 2) + (x + 4) = 84
Simplifying this equation, we get:
3x + 6 = 84
Subtracting 6 from both sides, we have:
3x = 78
Now, dividing both sides by 3 gives us:
x = 26
Therefore, the smallest of the three consecutive even numbers is 26.
What is the measure of angle x, in degrees, in the figure shown? A triangle with angle measure 60 degrees and 53 degrees. The third angle has an unknown measure, x degrees.
Answer: x = 67
Step-by-step explanation:
60+53+x = 180
The degrees of a triangle always equal 180
113+x = 180
Subtract the 113 from the 180
x= 67
Answer:113
explanation: hope it helps☺
Will mark brainliest and 15 points
Answer: its going in straight lines
Step-by-step explanation:
For the graphs below, for which probability distribution is the value of the median greater than the value of the mean?
Theoretical Probability Distributions
Negativity skewed
Normal (no skew)
Positively skewed
Frequency
Negativity Direction
Perfectly Symmetrical
Distribution
Positive Direction
Negatively skewed
Normal, symmetrical distribution
Positively skewed distribution
None of the above
Answer:
The probability distribution for which the value of the median is greater than the value of the mean is - negatively skewed probability distribution.
Step-by-step explanation:
The probability distribution for which the value of the median is greater than the value of the mean is - negatively skewed probability distribution.
Answer:
negative skewed distribution
Step-by-step explanation:
As can be seen in the figure attached,
in the negative skewed distribution the median is greater than the meanin the normal (no skew or symmetrical) distribution the median is equal than the meanin the positive skewed distribution the median is lower than the meanMia has 12 marbles, alex has 9 marbles, and micheal has 51 marbles. use the gcf and the distributive property to find the total number of marbles mia, alex and micheal have
Answer: 5508
Step-by-step explanation:
all the numbers together equal 72 marbles in total.
(6x2)x (3x3)x (3x17)=
12 9 51 first multiply the easy numbers 12x9 =108 then
108x51= 5508
You can also write an equation for equivalent ratios. The equation at the right can be used to find the actual length x of the sculpture room in the museum. Complete the equation and explain what each part represents
The equation relates the scale drawing of the sculpture room to its actual dimensions using equivalent ratios. By setting the actual length corresponding to 6 cm on the drawing to 30 m, we can solve for the unknown actual length, which is 6 meters. So, the actual length of the sculpture room in the museum is 6 meters.
Completing the equation:
The equation in the image is missing a part: it should be:
1 cm : 5 m = x cm : 30 m
Explanation of the equation:
1 cm: This represents the length of the sculpture room on the scale drawing, as indicated by the scale 1 cm : 5 m.
5 m: This represents the actual length corresponding to every 1 cm on the scale drawing.
x cm: This is the unknown variable we're trying to solve for. It represents the actual length of the sculpture room in the museum.
30 m: This is a constant value, chosen because we want to find the length corresponding to 6 cm on the scale drawing (since the sculpture room in the drawing is 6 cm long).
What each part represents:
The colon (:) separates the two equivalent ratios.
The first ratio (1 cm : 5 m) represents the scale factor, which is the conversion factor between the scale drawing and the actual museum dimensions. It tells us that every 1 cm on the drawing corresponds to an actual length of 5 m.
The second ratio (x cm : 30 m) represents the unknown ratio we want to solve for. It relates the unknown actual length (x cm) to the desired actual length of 30 m (corresponding to 6 cm on the drawing).
Solving for x:
To solve for x, we can cross-multiply the two ratios:
(1 cm) * (30 m) = (5 m) * (x cm)
Simplifying the equation, we get:
30 m = 5x cm
Finally, dividing both sides by 5, we get:
x = 6 m
Therefore, the actual length of the sculpture room in the museum is 6 meters.
Tabitha earns $8.50 per hour at her summer job. She wants to save money to buy a tablet that costs $289 plus 6% sales tax. Tabitha has already saved $75. write and solve an inequality that shows how many hours Tabitha will need to work to have enough money to buy the tablet.
Answer:
The Inequality that shows number of hours Tabitha will need to work to have enough money to buy the tablet is [tex]75+8.5x\geq 306.34[/tex].
Tabitha needs to work at least 28 hours to buy the tablet.
Step-by-step explanation:
Amount earn per hour = $8.50
Amount already saved = $75
Cost of tablet = $289
Sales tax = 6%
We to write and solve the inequality number of hours Tabitha will need to work to have enough money to buy the tablet.
Solution:
Let the number of hours she need to work be 'x'.
First we will find the total amount required to buy tablet.
Amount of sales tax = [tex]\frac{6}{100}\times289 = \$17.34[/tex]
Now Total cost to buy tablet will be equal to sum of Cost of tablet and Amount of sales tax.
framing in equation form we get;
Total cost to buy tablet = [tex]289+17.34 = \$306.34[/tex]
Now we can say that;
Amount already saved plus Amount earn per hour multiplied by Amount earn per hour should be greater than or equal to Total cost to buy tablet.
framing in equation form we get;
[tex]75+8.5x\geq 306.34[/tex]
hence The Inequality that shows number of hours Tabitha will need to work to have enough money to buy the tablet is [tex]75+8.5x\geq 306.34[/tex].
On solving the above Inequality we get;
First we will subtract both side by 75 we get;
[tex]75+8.5x-75\geq 306.34-75\\\\8.5x\geq 231.34[/tex]
Dividing both side by 8.5 we get;
[tex]\frac{8.5x}{8.5}\geq \frac{231.34}{8.5}\\\\x\geq 27.21[/tex]
Hence Tabitha needs to work at least 28 hours to buy the tablet.
write the expression in the standard form a+bi (showing all work)
(2-i)^3
[tex]2-11i \text{ is the standard form of given expression }[/tex]
Solution:
The standard form of complex number is: a + bi
where a is the real part and bi is the imaginary part
Given expression is:
[tex](2-i)^3[/tex]
Expand the above expression using algebraic identity
[tex](a-b)^3=a^3-b^3-3ab(a-b)[/tex]
[tex]\text{For } (2-i)^3 \text{ we get, a = 2 and b = i}[/tex]
Thus on expanding using the above algebraic identity we get,
[tex](2-i)^3=(2)^3-(i)^3-3(2)(i)(2-i)[/tex]
Simplify the above expression
[tex](2-i)^3=8 -i^3-6i(2-i)\\\\(2-i)^3=8 -i^3-12i+6i^2[/tex]
We know that,
[tex]i^2 = -1\\\\i^3 = -i[/tex]
Substituting in above simplified expression, we get,
[tex](2-i)^3=8-(-i)-12i+6(-1)\\\\(2-i)^3=8 + i -12i -6\\\\\text{Combine the like terms }\\\\(2-i)^3=8 - 6 + i -12i\\\\(2-i)^3=2-11i[/tex]
Thus the given expression is expressed in standard form
Suppose M varies directly with S. If M is 900 when S is 500, which equation relates M to S
Answer: M = ⁹/₅S
Step-by-step explanation:
M ∞ S -------------------------------- 1
M = KS ------------------------------ 2
K is a constant and need to be calculated
substitute for M and S in 2 to find K
900 = K500
K = ⁹⁰⁰/₅₀₀
= ⁹/₅
Therefore , the equation that connect / relates M to S will be
M = KS
M = ⁹/₅S
Final answer:
The equation that relates M to S is M = kS, where k is the constant of proportionality.
If M is 900 when S is 500, the equation becomes M = 1.8S.
Explanation:
The equation that relates M to S is M = kS, where k is the constant of proportionality.
To find the value of k, we can use the given values of M and S.
If M = 900 when S = 500, we can substitute these values into the equation to get 900 = k(500).
Solving for k, we divide both sides of the equation by 500, getting k = 1.8.
Therefore, the equation that relates M to S is M = 1.8S.
A school charges $4.99 per child, $6.00 per adult, and $2.50 per baby, to go see the school play. How much money would they collect if 12 kids, 25 adults, and 6 babies came to see the play?
Answer:
$224.88
Step-by-step explanation:
4.99×12= 59.88 for kids
6×25=150 for adults
2.50×6=15 for babies
59.88+150+15= $224.88 collected in total
What is the solution to the system of equations?
(3x+2y = 39
(5x-y=13
O (4,7)
O (7,4)
O (12,5)
(5, 12)
Answer:
X = 5
Y= 12
Step-by-step explanation:
3x + 2y = 39 —> (1)
5x - y = 13 —> (2)
Multiply (2) with 2
10x - 2y = 26 —> (b)
(1) + (b)
This will eliminate the y factor, leaving:
13x = 65
Therefore, x = 65/14
X= 5. Put this value of 5 in equation 1, which gives;
15 + 2y = 39
2y = 39-25
2y = 24
Y = 12
Answer:
x=5
y = 12
Step-by-step explanation:
3x + 2y = 39
2y = 39 - 3x
y = (39 - 3x) / 2
5x - y = 13
5x - ((39 - 3x) / 2) = 13
5x - 39/2 + 3/2x = 13
5x + 3/2x = 13 + 39/2
13/2x = 65/2
x = 65/2 * 2/13
x = 65/13
x = 5
y = (39 - 3x) / 2
y = (39 - 3*5) / 2
y = (39 - 15) / 2
y = 24/2
y = 12
How do you solve -2(x+5)=4
Answer:x = -7
Step-by-step explanation:
-2x-10=4
-2x=14
-x=7
X=-7
Answer:
x = -7Step-by-step explanation:
[tex]-2(x+5)=4\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2\!\!\!\!\diagup(x+5)}{-2\!\!\!\!\diagup}=\dfrac{4\!\!\!\!\diagup^2}{-2\!\!\!\!\diagup_1}\\\\x+5=-2\qquad\text{subtract 5 from both sides}\\\\x+5-5=-2-5\\\\x=-7[/tex]
Predict the number of tickets that will be sold if the price is $12 per ticket
Answer:
350
Step-by-step explanation:
We have two points on the demand curve as (10, 450) and (15, 200). Using the two-point form of the equation for the line between them, we can find the "y" value for "x" = 12 as ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (200 -450)/(15 -10)(12 -10) +450
= (-250/5)(2) +450
= -100 +450 = 350
We predict the number of tickets sold at $12 will be 350.
_____
Check
The drop in sales of 50 tickets for each $1 increase in price is consistent with other table values.
Use the number line to show a number which rounds to 170 when it is rounded to the nearest ten.
Answer:
170
Step-by-step explanation:
A number which rounds to 170 when it is rounded to the nearest ten is 168.
What is the number line ?
A number line is a picture of a graduated straight line that serves as visual representation of the real number.
Since we are trying to round of a number, which rounds to 170 when it is rounded to the nearest ten. Therefore, it should be in the range of 166 to 174 (both included).
Let take example of 168, as it can be seen that it is closest to 170, therefore, when it is rounded it will be closest to 170.
Hence, 168 is a number which rounds to 170 when it is rounded to the nearest ten.
To know more about number line click on the link below:
https://brainly.in/question/14244499
#SPJ2
PLEASE ANSWER THIS ASAP
Write an equation in slope intercept form for the line that passes through (4,-1) and is perpendicular to the graph of y=7/2x-3/2
Answer:
The equation of line passes through [tex](4,-1)[/tex] and perpendicular to the graph [tex]y=\frac{7}{2}x-\frac{3}{2}[/tex] is [tex]y=\frac{-2x}{7}+\frac{1}{7}[/tex]
Step-by-step explanation:
Given point is [tex](4,-1)[/tex] and equation of line is [tex]y=\frac{7}{2}x-\frac{3}{2}[/tex]
Let the slope of line that passes through point [tex](4,-1)[/tex] is [tex]m_1[/tex]
And slope of line [tex]y=\frac{7}{2}x-\frac{3}{2}[/tex] is [tex]m_2=\frac{7}{2}[/tex] . As it is in the form of [tex]y=mx+c[/tex]
We know the relation between slope of perpendicular line are given by
[tex]m_1\times m_2=-1\\And\ m_1=\frac{-1}{m_2}[/tex]
So, the slope [tex]m_1=\frac{-1}{\frac{7}{2}}=\frac{-2}{7}[/tex]
Now, we can write the equation of line having point [tex](4,-1)[/tex] and slope [tex]\frac{-2}{7}[/tex]
[tex](y-y_1)=m(x-x_1)\\\\(y-(-1))=\frac{-2}{7}(x-4)\\\\y+1=\frac{-2x}{7}-(\frac{2\times -4}{7})\\ \\y+1=\frac{-2x}{7}+\frac{8}{7}\\\\y=\frac{-2x}{7}+\frac{8}{7}-1\\\\y=\frac{-2x}{7}+\frac{8-7}{7}\\\\y=\frac{-2x}{7}+\frac{1}{7}[/tex]
So, the equation of line passes through [tex](4,-1)[/tex] and perpendicular to the graph [tex]y=\frac{7}{2}x-\frac{3}{2}[/tex] is [tex]y=\frac{-2x}{7}+\frac{1}{7}[/tex]
What is the complete factorization of 64x2 - 48x + 9?
O A. (8x - 3)(8x+3)
B. (8x - 3)2
OC. 4(4x - 3)2
D. 4(4x - 3)(4x+3)
Please helppp
Answer:
B) (8x-3)²
Step-by-step explanation:
64x2 - 48x + 9= (8x)² - 2*8x*3 + 3²
Compare with a² - 2ab +b² = (a-b)²; a = 8x and b =3
=(8x-3)²
- 2a = - 20
What is the most simplest answer?
- 2a = - 20 | x (-)
2a = 20
a = 20 : 2
a = 10
Answer:
a=10
Step-by-step explanation:
-2a=-20
Divide -2 on each side. You should get a=10
The test scores for a math test are displayed in the following box plot. What percent of the students scored at least 75 on the test?
Please show the picture of the box plot otherwise your question is unanswerabe.
At present, a man is 5 times older than his daughter. In 7 years, the man is 3 times as old as his daughter. What are their present ages?
The present age of father is 35 and daughter is 7.
Step-by-step explanation:
Let,
Age of father = x
Age of daughter = y
According to given statement;
A man is 5 times older than his daughter.
x = 5y Eqn 1
In 7 years, the man is 3 times as old as his daughter.
x+7 = 3(y+7)
[tex]x+7=3y+21\\x=3y+21-7\\x=3y+14\ \ \ Eqn\ 2[/tex]
Putting value of x from Eqn 2 in Eqn 1
[tex]3y+14=5y\\14=5y-3y\\14=2y\\2y=14[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{14}{2}\\y=7[/tex]
Putting y=7 in Eqn 1
[tex]x=5(7)\\x=35[/tex]
The present age of father is 35 and daughter is 7.
Keywords: linear equation, substitution method
Learn more about substitution method at:
brainly.com/question/8929610brainly.com/question/8908016#LearnwithBrainly
Final answer:
The present ages of the man and his daughter are 35 years and 7 years, respectively.
Explanation:
The question asks us to find the current ages of a man and his daughter, given that the man is currently five times older than his daughter and that after 7 years, he will be three times as old as her. To solve this, we can set up two equations based on the information provided:
Let D be the daughter's current age, the man's current age is 5D (since he is five times older).In 7 years, the daughter's age will be D+7 and the man's age will be 5D+7. At that time, the man will be three times as old as his daughter, so we have 5D+7 = 3(D+7).Now, we solve the equation from step 2 to find the daughter's age:
5D + 7 = 3(D + 7)5D + 7 = 3D + 215D - 3D = 21 - 72D = 14D = 7So, the daughter is currently 7 years old. To find the man's age, we multiply the daughter's age by 5:
Man's age = 5 x 7 = 35 years old
Therefore, the man is currently 35 years old and the daughter is 7 years old.