Answer:
Length = (7 + x)
Step-by-step explanation:
In this question we have to convert the verbal expression to algebraic expression.
Let the width of the rectangle = x cm
"Length of the rectangle is 7 cm longer than it's width"
Length = 7 + Width
Length = (7 + x) cm
Therefore, equation for which length of the rectangle is defined will be,
Length = (7 + x)
Which of the following does not represent
function of x?
Answer:
F
Step-by-step explanation:
The x and y do not match up
Answer:
It is F.
Step-by-step explanation:
It is F because all the x's are the same as that cannot happen.
find the compound interest on $500 for 8 years. if the interest rate is 3%
A.123.39
B.133.39
C.143.39
D.153.39
What is the value of the expression below when y=7?
y2+5y+6
Answer:
90
Step-by-step explanation:
y^2 + 5y + 6 =
(7)^2 + 5(7) + 6 =
49 + 35 + 6 =
84 + 6 =
90
7^2 + 5(7) + 6
49 + 35 + 6
90
Shante has 120 books in her book collection. 60% of her books are nonfiction. How many books are fiction
Answer:
72
Step-by-step explanation:
72
60 x 120
100
= 72
consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two equations intersect? (-1,2) (-2,1) (1,-2) (2,-1)
Answer:
(-2, 1)
Step-by-step explanation:
consider the following equations: -x-y=1 y=x+3
For the lines to intersect, the values must be the same
-x-y=1
x + y = -1
y = -x - 1
Equating the y values
-x - 1 = x+ 3
-x-x = 3 + 1
-2x = 4
x = 4/-2
x = -2
Substitute x = -2 into y = x+3
y = -2 + 3
y = 1
Hence the required coordinate is (-2, 1)
Find the area of the figure.
13 m
6 m
8 m
4 m
4 m
area:
m2
Answer:
8m
Step-by-step explanation:
If you horizontally stretch the quadratic parent function, f(x) = X^2 by a factor
of 5, what is the equation of the new function?
9514 1404 393
Answer:
g(x) = x^2/25
Step-by-step explanation:
For a horizontal stretch by a factor of k, x is replaced by x/k.
g(x) = f(x/5) = (x/5)^2 = x^2/25
The new function is ...
g(x) = x^2/25
Write an equation of the line, in point-slope form, that passes through the points (–7, 2) and (3, –2). Use (–7, 2) as the point (x1, y1)
Answer:
first use the equation m = y2 - y1 / x2- x1 to get the slope
m = -2 - 2 = -4
m = 3 + 7 = 10 when there is a negative for x1 it turns positive
the slope is -4/10 or -2/5
now plus the info into the point slope equation
y - y1 = m (x-x1)
this is in point slope form y - 2 = -2/5 (x + 7)
This is how to get it in y-intercept form
y -2 = -2/5x + -2.8
now add -2 on both sides to the -2.8
y = -2/5x (Slope) + -0.8 y- intercept
Hopefully this is right becuase this is just what i learned
Step-by-step explanation:
For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.
If the pyramid is 140 meters tall, how tall will her model pyramid be?
A.
56 centimeters
B.
28 centimeters
C.
32 centimeters
D.
28 meters
Answer:
B
Step-by-step explanation:
you divide 140 by 5 so 28 is the answer
B .28cm
Step-by-step explanation:
if 1cm=5m
then,140=×
1cm=5cm
cross multiply to get;
140÷5=28(cm)
=28cm
Does 3 work as a solution to the following inequality? 2n > 6
Answer:
No.
Step-by-step explanation:
If n=3 the only thing you get is 6, which is not more than 6.
i need help pls (づ｡◕‿‿◕｡)づ
Answer:
no shortcuts can be used
Answer:
You need to multiply the number of choices in both sets.
Step-by-step explanation:
For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.
Hope this helps!
60 points Math
Question 2 of 10
Select the two values of x that are roots of this equation.
Answer:
B and DStep-by-step explanation:
Solve the equation by completing a square:
x² + 2x - 6 = 0x² + 2x + 1 - 7 = 0(x + 1)² = 7x + 1 = ±√7x = -1 ± √7Correct choice:
B and DThe expression 6 x 10^7 could represent an estimate of which number?
FIND THE SURFACE AREA. I WILL MARK YOU A BRAINLEST IF THE ANSWER IS RIGHT
Answer:
SA= 222cm ^2
Step-by-step explanation:
Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
20 points
3. A suitcase measures 24 inches long and the width is 18 inches long.
How much ribbon is needed to go down both sides of the suitcase
diagonally? (Hint: Draw a picture and add both diagonals together.)
Answer:
60in
Step-by-step explanation:
Given data
Length= 24 in
Width = 18 in
Diagonally, we need to find using the Pythagoras theorem
D^2= L^2+W^2
D^2= 24^2+18^2
D^2= 576+324
D^2= 900
Square both sides
D= √900
D= 30 in
For both sides
=30*2= 60in
(Will Give Brainliest)
Answer:
A. (-4, -4)
Step-by-step explanation:
According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.
This means the original coordinates were enlarged/multiplied by 0.75.
We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.
OR
We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.
For instance,
(-3, -3)
-3 / 0.75 = -4 (x-coordinate)
-3 / 0.75 = -4 (y-coordinate)
This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.
Who can do this whoever best explains is I'll give you brainliest pls asap
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Answer:
-3x³y∛9
Step-by-step explanation:
The expression can be simplified by removing perfect cubes from under the radical.
[tex]\sqrt[3]{-243x^9y^3}=\sqrt[3]{(-3x^3y)^3\cdot9}=\boxed{-3x^3y\sqrt[3]{9}}[/tex]
__
It helps to realize that 243 = 3^5 = (3^3)(3^2).
50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Find the area of the triangle.
14 m
18 m
Answer:
126
Step-by-step explanation:
trust
Answer:
if your base is 14 and your height is 18 or the other way around then its:
14 x 18 = 252
252 divided by 2 = 126
Step-by-step explanation:
Formula of a triangle:
BH x 1/2 (basically dividing by 2)
B is your base which is the length on the bottom of the triangle and the height is the line that is put in between the triangle. You multiply those then divide by 2 since your multiply 2 with it.
If one person runs 8.1 miles per hour in one direction and another with a speed of 6.3 in an other direction how many hours would have gone by if they are 20.16 miles apart
Answer:
1.4 hours
Step-by-step explanation:
Runner A:
Speed = 8.1 mph
Time, = t
Runner B :
Speed = 6.3 mph
Time, = t
Distance apart = 20.16 miles
Distance = speed * time
Distance of Runner A + Distance of runner B = distance apart
8.1t + 6.3t = 20.16
14.4t = 20.16
t = 20.16 / 14.4
t = 1.4 hours
Number of hours, t = 1.4 hours
Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?
Answer:
Step-by-step explanation:
Given :
Using cosine rule :
c² = a² + b² - 2abCosC
c² = 45² + 25² - 2(45)(25) - cos70
c² = 2650 - 2250 * - 0.3420201
c² = 2650 + 769.54532
c² = 3419.5453
c = sqrt(3419.5453)
c = 58.476
c = 58.5 feets
Suppose c varies jointly with a and b. When c = 25, a = 2, and b = 2.5. What is the value of c when b = 4/3 and a = 6?
Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly
Answer: 1/4
Step-by-step explanation:
Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:
= ⅜ + ½ + ¼
= 3/8 + 4/8 + 2/8
= 9/8
= 1 1/8
Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:
= 1/4 + 3/8 + 1/4
= 2/8 + 3/8 + 2/8
= 7/8
The numybe of paint that Destiny use more than Carla will be:
= 1 1/8 - 7/8
= 2/8
= 1/4
Destiny used 1/4 paint more than Carla
Helppppp distance time graphhhhhh
Answer:
Ralph walked to Sherwood at a constant speed.
Step-by-step explanation:
Any horizontal lines on a distance time graph represent a moment where you are still, so that rules out graph 4 and graph 3. Because Ralph is at a constant speed, the gradient of the line won’t change, meaning the answer has to be Ralph walked to Sherwood at a constant speed.
Kenney High School’s swimming pool is 25 yards long. The pool has 8 lanes, each of
which is 3 yards wide. The pool is filled to a depth of 6 feet.
a. What are the length and width of the pool in terms of feet? (4 points)
Length: __________ ft.
Width: __________ ft.
b. How many cubic feet of water are in the pool? (3 points)
Volume: __________ ft3
c. If one cubic foot contains about 7.5 gallons, how many gallons of water are in
the pool? (3 points)
Water: __________ gallons
Answer:
Length = 75 ft
Width = 72 feet
Volume = 32,400 ft3
Water is around 242,998 gallons
Step-by-step explanation:
Just convert the yards to feet
25 yards long = 75 ft in length
8 lanes * 3 yards wide = 24 yards = 72 feet wide
And then for the volume, since it's a swimming pool, the formula will be l*w*h, and if we plug in the numbers (75 * 72 * 6 (it's 6 because they said the depth was six and in a pool the depth = height)) and that'll equal 32,400 ft to the third power
For the water, we just have to multiply the volume by 7.5 gallons by converting 7.5 gallons to feet, and then multiplying that by the volume, and then converting that to feet, and the final answer is about 242,998 gallons
Answer:
Length; 75 ft
Width; 72 feet
Volume; 32,400
Water is around 243k gallons
Step-by-step explanation:
1) Provide the sine, cosine, and tangent of ∠F
2) Provide the sine, cosine, and tangent of ∠R
Answer:
1. cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2. Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
Step-by-step explanation:
1 picture:
sin = Opp/Hyp
cos = adj/hyp
tan = opp/adj
cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2 Picture:
Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
1. cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2. Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
Step-by-step explanation:
1 picture:
sin = Opp/Hyp
cos = adj/hyp
tan = opp/adj
cos(F) = 2. 5/13
tan (F) = 3. 12/5
sin (F) = 1. 12/13
2 Picture:
Sin (R) = 1. 60/68 = 30/34 = 15/17
cos (R) = 2. 32/68 = 16/34 = 8/17
tan (R) = 3. 60/32 = 30/16 = 15/8
HOPE THIS HELPS
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 28pts-
Answer:
Step-by-step explanation:
A=1/4πd2
A = 1/4(22/7)(18)^2
= 254.47
If your able to help me please do, really need to finish this
Answer:
It is growth if the number in the parenthesis is greater than 1.
It is decay if the number in the parenthesis is less than 1.
For example y = 300[tex](2)^{x}[/tex] is growth and [tex]y = 100(.5)^{x}[/tex] is decay
Step-by-step explanation:
Find the area of the parallelogram, 22mm 11mm. Please help im stu-pid
URGENT!!! NEED ASAP!!! TIMED TEST!!!
Given: x + 2 < -5.
Choose the solution set.
{x | x ∈ R, x < -3}
{x | x ∈ R, x < 3}
{x | x ∈ R, x < -7}
{x | x ∈ R, x < 7}
(Please answer as soon as you can!!)
Answer:
ok the answer is 10
Step-by-step explanation:
Just put 10 lol