Answer:
8 and 5
Step-by-step explanation:
Let the number of feet added = x
(x + 6) ( x + 3) = 40 Remove the brackets
x^2 + 6x + 3x + 18 = 40 Combine like terms on the left
x^2 + 9x + 18 = 40 Subtract 18 from both sides
-18 -18
x^2 + 9x = 22 Subtract 22 from both sides
x^2 + 9x - 22 = 0
This quadratic factors
(x + 11)(x - 2)
x + 11 = 0
x = - 11 which makes not sense.
x - 2 = 0
x = 2
The answer is x = 2
Check
6+2 = 8
3+2 = 5
8 * 5 = 4- just as it should.
solve to find x 3/4 (5x-3) + 8 = 17
Answer:
3
Step-by-step explanation:
3/4 (5x -3)+8=17
3/4 (5x -3) = 17 - 8 = 9
(5x -3) = 9 * (4/3)= 36/3 = 12
5x = 12 + 3 = 15
x = 3
Consider the following pair of equations: y = x + 4 y = −5x − 2 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(-1, 3)
Step-by-step explanation:
to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.
this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:
(x+4)=-5x-2
then solve for x
6x=-6
so x=-1
since we know the x value, we can solve for y
y=x+4
y=-1+4
y=3
so the final answer is (-1, 3)
Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
y = x + 4 → (1)
y = - 5x - 2 → (2)
Substitute y = x + 4 into (2)
x + 4 = - 5x - 2 ( add 5x to both sides )
6x + 4 = - 2 ( subtract 4 from both sides )
6x = - 6 ( divide both sides by 6 )
x = - 1
Substitute x = - 1 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 1 + 4 = 3
solution is (- 1, 3 )
find the measure of the arc or angle indicated. assume that lines which appear to be diameters are actual diameters just enter the number no degree sign or word
Answer:
I think D
if wrong correct me plssssssss
have a nice day
And good luck if you have exam
#Captainpower
Evaluate the expression below when n = 2.4. If needed, answer as a fraction or a decimal.
12n−8
Answer:
20.8
Step-by-step explanation:
Plug in 2.4 as n in the expression, and simplify:
12n - 8
12(2.4) - 8
28.8 - 8
= 20.8
So, the answer is 20.8
Which of the following numerical data sets has a mean of 40?
A) 18,82
B) 21, 34, 65
C) 38, 39, 40, 41
D) 20, 30, 40, 55
help!
Answer:
The answer is B) 21, 34, 65
Step-by-step explanation:
21 + 34 + 65 = 120
120 divided by 3 = 40.
In order to find the mean you must add up all of the numbers in the numerical data set, then divide that by how many numbers there are. Hope this helps! :)
The volume of a rectangular pyramid is 152 in. What would be its
new volume if its dimensions were reduced to one-half their original
length?
Answer: I'm not the best at this so you might wanna wait for another answer but I think you just half 152??? so 76 :))) but I feel like you shouldn't trust me haha
Step-by-step explanation:
Please find the area and perimeter
Answer:
Area: 54 in² Perimeter: 36 inStep-by-step explanation:
Area:
A = 6 in · 10 in - 2 in · 3 in = 60 in² - 6 in² = 54 in²
Perimeter:
P = 2·6 in + 10 in + 6 in + 3 in + 1 in + 2·2 in = 12 in + 20 in + 4 in = 36 in
2) Bobby's chess team is made up of 10 boys and 8 girls.
What is the ratio of boys to girls on the chess team? (2 pt)
I believe it would be 10 : 8
Which of the following is equivalent to log 9 27?
1.) 3/2
2.) 2/3
3.) 3
4.) 1.452
Answer:
here is the answer as I believe it is correct
1.) 3/2
Is this right? Please help me
Answer:
yeah its correct
Step-by-step explanation:
Answer:
[tex]\boxed {\mathfrak {B) 1.6}}[/tex]
Step-by-step explanation:
B) [tex]r-value[/tex] [tex]cant[/tex] [tex]be[/tex] [tex]1.6[/tex]
[tex]-1 \leq r\leq 1[/tex]
[tex]-----[/tex]
Find the product of the sum and difference. (Please try to answer all of them If not it's OK!)
Answer:
[tex]16 {x}^{2} - 9[/tex]
Step-by-step explanation:
Use the F.O.I.L. method
Answer:
1) [tex]81c^{2}[/tex]-1
2) [tex]16x^{2}[/tex]-9
3) [tex]-4y^{2}[/tex]+25
4) [tex]-w^{2}[/tex]+16
Step-by-step explanation:
A model train is 9 centimeters long. The actual engine is 18 meters long. What is the scale of the model? Tracy has a model train set that is 59 centimeters long. How long would the train be in real life?
Answer:
1 cm : 2m
1 cm = 2m
118m
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
18 / 9 = 2 : 1
59 x 2 = 118
A school is building a rectangular stage for its chorus. The stage must have a width of 7 feet. The area of the stage must be at least 84 square feet. (The stage must hold all the singers.) Write an inequality that describes the possible lengths (in feet) of the stage.
Step-by-step explanation:
if L is for length, so
L ≥ 84/7
L ≥ 12 feet
Mathh please help and actually do it
Answer:
Parallel
Step-by-step explanation:
they have the same slopes
Answer:
i believe its b sir. brainliest?
Step-by-step explanation:
PLEASE HELP ASAP!!!! I AM BEGGING YOU!
Answer: Standard, and 65,000 its easy as that
Step-by-step explanation:
Hope this helps
Find the value of each trigonometric ratio.
Answer:
SinZ=perpendicular/hypotenuse=15/17 is your answer
Osetion Progress
Homework Progress
a cm
R
Dia
dra
In the diagram shown,
PQRS is a rectangle,
XY is parallel to PS,
RY = 9 cm,
Area of PQRS = 84 cm,
Area of PXYS = 21 cm.
Work out the values of a and b.
You must show all your working.
9 cm
ү
bcm
P
S
Answer:
The answer is below
Step-by-step explanation:
PQRS is a rectangle. The length of rectangle PQRS = 9 cm + b cm = (9 + b)cm
The breadth of PQRS = a. Hence:
Area of PQRS = length * breadth = (9 + b)(a) = 9a + ab
but Area of PQRS = 84 cm²
9a + ab = 84 (1)
In rectangle PXYS, length = QR = a cm, breadth = YS = b cm
Hence area of PXYS = length * breadth = (a)(b) = ab
But Area of PXYS = 21 cm²
ab = 21 (2)
substitute ab = 21 in equation 1:
9a + 21 = 84
9a = 84 - 21
9a = 63
a = 7 cm
ab = 21
7b = 21
b = 3 cm
Therefore a = 7cm, b = 3 cm
Find the slope of the line that passes through the points (1,-4) and (3,-1).
Answer: E
Step-by-step explanation: I used m.athway
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Answer:
b 4 Lee's than 3 times Mary's age is 3x-4
Answer:
3x -4
Step-by-step explanation:
we know this because Charlenes age is - 4 than Marys age.
Now, how much is that something? 3x
3x -4
The distance from Alison's house to the mailbox is 2/5 mile. The distance from the mailbox to the bus stop is 1/3 mile. What is the total distance from Alison's house to the bus stop? 3/15 11/15 5/6 3/8
Answer:
Option B is correct
Step-by-step explanation:
Given
Distance from Alison's house to the mailbox = [tex]\frac{2}{5}[/tex] miles
Distance from the mailbox to the bus stop [tex]\frac{1}{3}[/tex] miles
The total distance between Alison's house to the bus stop is
[tex]\frac{2}{5} + \frac{1}{3} \\\frac{6+5}{15} \\\frac{11}{15}[/tex]
Hence, option B is correct
The path of a flying fish as it made its approach to the surface of the ocean and flew out of the water is represented by the quadratic function h(t) = -t2 + 6t - 5, where t represents the time, in seconds, and h(t) represents the fish's height and depth, in feet. Graph the function using the graphing calculator. To the nearest second, how long was the fish out of the water?
1 second
3 seconds
4 seconds
5 seconds
Answer:
4 seconds
Step-by-step explanation:
fish broke the water's surface in 1 second and went back into the water at 5 seconds
∴ it was out of the water for 4 seconds
Answer:
4
Step-by-step explanation:
This table shows the calories of several sandwiches at a restaurant. Find the mean and mean absolute deviation of this set of data, and then describe what the mean absolute deviation represents.
Sandwich Calories
242 290
290 280
390 350
The mean and mean absolute deviation of this set of data will be 312. 9 and 0.19 respectively. The mean absolute deviation represents the average distance between each data value and the mean.
What is the mean absolute deviation ?The average distance between each data point and the mean is the mean absolute deviation of a dataset. It offers us an indication of how variable a dataset.
Mean = 312. 9
absolute deviation = 0.19
Hence,the mean and mean absolute deviation of this set of data will be 312. 9 and 0.19 respectively. The mean absolute deviation represents. Average distance between each data value and the mean.
To learn more about mean absolute deviation, refer:
https://brainly.com/question/26462759
#SPJ2
D'jair's vacation starts on July 18th and lasts one week. Kyoko's vacation is from July 18th to July 25th. Whose vacation was longer?
1st Place: $10,000 2nd Place: $5,000 3rd Place: $2,500 4th Place: $1,500 5th Place: $1,000 6th - 10th Place: $500 A golf tournament has 100 players and awards prizes to the first 10 places as shown. What is the expected value for a player in the tournament? A) $2.25 B) $22.50 C) $225 D) $2,500
Answer:
c or b
Step-by-step explanation:
The mascot does 5 back flips and the cheerleaders set off 6 confetti cannons. How many backflips does the mascot if the cheerleaders set off 18 confetti cannons?
Answer:
15 backflips
Step-by-step explanation:
100% of ___ is 50
what is blank??
Answer: 50
Step-by-step explanation: 50 out of 50 is 100% just like 25 out of 50 is 50%
Answer:
50
Step-by-step explanation: 50 = 50
NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.
Answer:
That’s not a lot of info...
Step-by-step explanation:
The rational number
number ———————
is equal to its negative
Which is the equation of the line through the point (−3, 8) that is perpendicular to the line y=14x+12?
Answer:
y = -1/14x + 109/14
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 14x + 12. Its slope is 14. A line perpendicular to this one will have a slope of -1/14.
Plug this value (-1/14) into your standard point-slope equation of y = mx + b.
y = -1/14x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-3, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -1/14(-3) + b
To find b, multiply the slope and the input of x (-3)
8 = 3/14 + b
Now, subtract 3/14 from both sides to isolate b.
8 - 3/14 = b
112/14 - 3/14 = b
109/14 = b
Plug this into your standard equation.
y = -1/14x + 109/14
This equation is parallel/perpendicular to your given equation (y = 14x + 12) and contains point (-3, 8)
Hope this helps!
HELP ASAP!!! HELP FAST PLEASE!!
Answer:
9
Step-by-step explanation: