Answer:
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Step-by-step explanation:
As given, Total length of the board = 29 ft
Let the board is divided into 3 pieces
Suppose that the length of first piece = x ft
As given, the second piece is 4 times longer than the first
⇒Length of second piece = 4x ft
Also given, the third piece is 3 times longer than the second.
⇒Length of third piece = 3(4x) = 12x ft
Now,
As total length of board = 29
⇒ x + 4x + 12x = 29
⇒ 17x = 29
⇒ x = [tex]\frac{29}{17}[/tex] = 1.7058823 ft
∴ we get
Length of first piece = 1.7058823 ft
Length of second piece = 4(1.7058823) = 6.82352941 ft
Length of third piece = 12(1.7058823) = 20.47058823 ft
Out of a total of 3000 available parking spaces in a mall
parking lot, 1875 are taken. What percent of the parking
spaces are taken?
Answer:
62.5% of the parking spaces are taken.
Step-by-step explanation:
Given
Total Spaces = 3000Taken paces = 1875To determine
What percent of the parking spaces are taken?
The percentage of taken spaces of the part can be determined using the formula
% of Taken spaces = [Taken spaces / Total Spaces ] × 100
= [1875 / 3000] × 100
= 0.625 × 100
= 62.5%
Therefore, 62.5% of the parking spaces are taken.
Olivia and Ray walk to school. Olivia walks 1 4of a mile to school. Her walk is 2 3of the distance that Ray walks to school. What is the total distance, in miles, that Ray walks to school?
Answer:
ray walks 3/8th of a mile
Step-by-step explanation:
1/4 multiplyed by 2/3 and you will get 3/8
Use the distributive property to simplify the expression and then evaluate. Let x= 4 and y= -2
-6(-2x + 3y + 8)
Answer:
12v-18y-48
Step-by-step explanation:
-6(-2v+3y+8)
12v-18y-48
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.
Round the fraction to the nearest whole number. 3 1/2
Answer:
4
Step-by-step explanation:
3 1/2= 3.5
5 rounds up, so it'll be 4
Answer:
4 hope this helps
show work and answer the question!! will mark brainliest
X=1 Y=0
Y-12X+15+3X^2-16X+13-Y=3X^2
-12X+15-16X+13=0
-28X+28=0
X=1
Y=3-16+13=0
f(n) = 3(n+ 1). Find f(-2)
Answer:
-6 +3= -3
Step-by-step explanation:
An ice cream shop is choosing a milk delivery service. The Spotted Cow charges $2.80 per gallon, plus a $2 delivery fee. Dairy Farms charges $2.10 per gallon, plus a $10 delivery fee. If the ice cream shop uses 20 gallons a milk per week, which service is a better deal? Group of answer choices
Answer:
The Dairy Farm is better deal.
Step-by-step explanation:
Given that:
Per gallon charges of the Spotted Cow = $2.80
Delivery fee = $2
Let,
x be the gallons of milk.
S(x) = 2.80x + 2
Putting x = 20
S(20) = 2.80(20) + 2 = 56 + 2
S(20) = $58
Per gallon charges of the Dairy Farms = $2.10
Delivery fee = $10
D(x) = 2.10x + 10
Putting x = 20
D(20) = 2.10(20) + 10 = 42 + 10
D(20) = $52
Hence,
The Dairy Farm is better deal.
A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?
1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite
Answer:
A Kite
Step-by-step explanation:
I know, almost 2 years late. It's a kite and I don't know why.
please help me !!! easy question and i’ll give brainliest
Answer:
x = 35.1 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos x = 27/33
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1(27/33)
x =35.09680123
To the nearest tenth
x = 35.1 degrees
Answer:
x=35.1
Step-by-step explanation:
cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]
x=35.1(correct to the nearest tenth)
What is 0.0000000053 in standard form?
Answer:
5.3
Step-by-step explanation:
I need help quick because it’s timed.
Someone help fast! please
Answer:
48cm
Step-by-step explanation:
96/12=8
This means that 8 is the factor by which the diagram and the actual ramp vary
so then you multiply 8 times the height on the diagram to find the true height
8x6=48
Increase 386.3 by 4%
Given:
Increase 386.3 by 4%.
To find:
The value for given statement.
Solution:
We have,
Initial value = 386.3
Increasing rate = 4%
The increased value is
[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]
[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]
[tex]\text{New value}=386.3+15.452 [/tex]
[tex]\text{New value}=401.752[/tex]
Therefore, the required value is 401.752.
how do i do this 0.7x = 1.8 − 0.4x
Answer:
x = 1.636364
x = 1.64 (simplified)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.7x=1.8−0.4x
0.7x=1.8+−0.4x
0.7x=−0.4x+1.8
Step 2: Add 0.4x to both sides.
0.7x+0.4x=−0.4x+1.8+0.4x
1.1x=1.8
Step 3: Divide both sides by 1.1.
1.1x/1.1=1.8/1.1
x=1.636364
x = 1.64 (simplified)
Answer:
x = 1.636364
Explanation:
0.7x = 1.8 − 0.4x
Simplify both sides of the equation0.7x = 1.8 − 0.4x
0.7x = 1.8 + −0.4x
0.7x = −0.4x + 1.8
Add 0.4x to both sides0.7x + 0.4x = −0.4x + 1.8 + 0.4x
1.1x = 1.8
Divide both sides by 1.1
1.1x / 1.1 = 1.8 / 1.1
x = 1.636364- PNW
Find Cos b in the triangle
Answer:
3/5
Step-by-step explanation:
SOHCAHTOA
Cos- adjacent/hypotenuse
adjacent side: 3
hypotenuse: 5
adj/hyp: 3/5
34=16+x helpppppp please due in 30 minutes
Answer:
34-16=18
so x = 18
Step-by-step explanation:
Answer:
x = 18
Step-by-step explanation:
Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x
What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
Answer: = (-2,3)
Step-by-step explanation:
Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.Here, fixed point = origin = (0,0)
Transformation rule for rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin:
[tex](x,y)\to (-y,x)[/tex]
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)
Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy
Step-by-step explanation:
PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Its B, Black males over 21 years of age
Answer:
b
Step-by-step explanation:
WHO's BIRTHDAY was on 24 January?
my bday was yesterday
mentors can u please not remove this because i want this to be here and I WILL be VERy HApy
happy belated birthday!
I don’t get it please can I have help :)
Answer:
[tex] {7}^{2} \times \sqrt[3]{7}\\ = {7}^{2} \times {7}^{ \frac{1}{3} } \\ = {7}^{(2 + \frac{1}{3}) } \\ = {7}^{ \frac{(6 + 1)}{3}} \\ = \boxed{{7}^{ \frac{7}{3}}}✓[/tex]
7⁷/³ is the right answer.Helpppppppppp plzzzzz
so do all the question like this types
thankyou for your question
All of the following are equivalent except____.
4y
(4)(y)
4•y
4+y
Answer:
All the options are equivalent except;
4 + y
Step-by-step explanation:
The question relates to the number of ways the operation of a multiplication operation can be represented algebra
1) The coefficient of a variable is a multiplier of the variable
Therefore;
4y = 4 × y
2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied
Therefore;
(4)(y) = 4 × y
3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities
Therefore;
4·y = 4 × y
However, multiplication, and addition are different mathematical operations that produce different results when applied;
Therefore;
4 + y ≠ 4 × y.
Heather performs an experiment to measure the acceleration of an object due to earths gravitational and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second.
The percentage error in the acceleration is 11.3%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The actual acceleration of the object is 9.80 meters per second.
The acceleration of an object is 10.91 meters per second.
Now,
Percentage error.
= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100
= (10.91 - 9.80) / 9.80 x 100
= 1.11 / 9.80 x 100
= 11.33 %
Thus,
The percentage error is 11.3%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ1
On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).
What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?
x = −6
x = −4
y = −6
y = −4
Answer:
The equation of parallel line passes through the point (−4,−6 ) is:
y = -6
Please also check the attached graph.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven that on a coordinate plane passes through (-8, 4) and (8, 4).
As the value of y remains the same for any value of x.
i.e. y = 4 for any value of x.
Thus, the given line is a horizontal line.
We know that the slope of a horizontal line is zero.
Also it is clear that at x = 0, the value of y = 4. In other words, we can observe that the y-intercept b = 4.
so substitutig m = 0 and b = 4 in the slope-intercept form
y = mx + b
y = 0x + 4
y = 4
Therefore, the equation of line passing through the point (-8, 4) and (8, 4) is:
y = 4
Now, we also know that the slope of parallel lines is equal.
Thus, the slope of the line parallel to the line y = 4 is also 0.
As the parallel line passes through (−4,−6 ).
so substituting m = 0 and (-4, -6) in the slope-intercept form of line equation to determine the y-intercept b
y = mx + b
(-6) = 0(-4) + b
-6 = 0 + b
switching the sides
0 + b = -6
b = -6
Thus, the slope-intercept b = -6
now substituting m = 0 and b = -6 in the slope-intercept form of line equation
y = mx + b
y = 0(x) + -6
y = 0 - 6
y = -6
Therefore, the equation of parallel line passes through the point (−4,−6 ) is:
y = -6
Please also check the attached graph.
Answer:
1351
Step-by-step explanation:
It costs $15.50 per hour to rent a scooter and $22.80 per hour to rent a watercraft. Use the expression 15.5s + 22.8w to determine how much it would cost to rent a scooter for 3.5 hours and a watercraft for 1.75 hours.
Answer:
94.15
Step-by-step explanation:
15.5 x 3.5= 54.25
22.8 x 1.75= 39.9
54.25+39.9=94.15
What is the absolute value of -7?
1/7
-1/7
-7
7
Answer:
7 :)
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!
Answer:
16x - 9 is the expression
Step-by-step explanation:
2x + 2x = 4x co effecients with the same variables can be added then I multiplied 4x by 4x which would 16x then later got the expression (16x - 9).
1. Many nonmetals are weak and
2. The property of an element to be beaten into sheets is
known as
3. The total space occupied by an object is
5.
is a gas and is an
Answer:
44
Step-by-step explanation:
i did 4 + 40 = 44 :)))))
If water freezes at 0ᴼC, which temperature is above freezing
Answer:
32 F
Step-by-step explanation: