Answer:
The volume of rectangular prism = [tex]13\frac{1}{8}[/tex]
Step-by-step explanation:
Given - The length breadth height is given as [tex]1\frac{1}{2}[/tex] , [tex]3\frac{1}{2}[/tex] , [tex]2\frac{1}{2}[/tex] respectively
To find - What is the volume of prism.
Proof -
We know that ,
The volume of rectangular prism = Length × Breadth × Height
= [tex]\frac{3}{2}[/tex] × [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{2}[/tex]
= [tex]\frac{105}{8}[/tex]
= [tex]13\frac{1}{8}[/tex]
⇒The volume of rectangular prism = [tex]13\frac{1}{8}[/tex]
A parallelogram has an area of 8x² – 2x – 45. The height of the parallelogram is 4x + 9.
a. Write the formula for the area of a parallelogram.
b. What is the length of the base of the parallelogram?
c. Explain how you solved the problem.
Answer:
a base x height
Step-by-step explanation:
the length of the base = 23
because its parallel
Quotient of a number and 3 increased by -7 Equals negative 144
Answer:
x = -411
Step-by-step explanation:
Number = x
Quotient of a number and 3 : [tex]\frac{x}{3}[/tex]
(x/3) increased by (-7) : [tex]\frac{x}{3}+ (-7)[/tex]
[tex]\frac{x}{3} -7 = - 144\\\\\frac{x}{3}= -144 + 7\\\\\frac{x}{3}= -137\\\\x = -137*3[/tex]
x = - 411
Answer:
-411
Step-by-step explanation:
x / 3 + -7 = -144
x / 3 = -144 + 7
x = -137 x 3
x = -411
Hope that helps!
2p+3(p-I) for p=2 please tell me the answer urgent
Answer: I dont know if that is an "I" or a "1" but if it is an "I" the answer is "16-3i" but if is a "1" its 7
Step-by-step explanation:
1) d=rt
d = distance traveled by a moving object
r = rate of speed
time the object travels
t = time the object travels
Your first stop is in Bend, which is 122 miles away. How
fast do you need to travel in order to make it there in 3
hours?
Answer:
41 mph
Step-by-step explanation:
122 = 3r
r = 40 2/3 mph
jennifer is a wedding planner. She set up five chairs at each table for the reception. If( t )represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 5 + t
B. t + 5
C. 5t
D. t - 5
Answer:
C. : 5t
--
Once we find out the number of tables at the reception, we can then multiply the number of tables to 5t.
The measure of an angle is 178.2°. What is the measure of its supplementary angle?
the perimeter of a rectangular sticker is 40 cm. the sticker is 13 cm tall. how wide is it?
Answer:
7
Step-by-step explanation:
40-26=14
14/2=7
what kind of angel is it?
Answer:
90°> =Acute
90°< =Obtuse
(90°= )= Right
The train takes 1 1/2 hours to get from Arno to Bentley. The train takes 5 times as long as that to get from Arno to Valdez how long is the train ride from Arno to Valdez?
Lani has 84 Lego blocks and 25% of them are red. How many red Legos does Lani have? Show/Explain your work
Answer:
21 red
Step-by-step explanation:
84 x 0.25 = 21
Answer:
21
Step-by-step explanation:
25% is basically 1/4.
Divide 84 by 4.
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Item 9 Write an equation that you can use to find the value of x. Perimeter of triangle: 16 in.
Answer:
16 = 3x
Step-by-step explanation
Find the diagram attached.
Perimeter = sum of all its sides
Sum of all its sides= x+x+x
Sum of all its sides = 3x
Given perimeter = 16in
Equating both;
3x = 16
x = 16/3
x = 5.33in
Hence the value of x is 5.33 and the required equation is 16 =3x
Maggie uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
2.76 pints
Step-by-step explanation:
Given that:
Tottal amount of paint used = 6.9 pints
The faction of white paint used = 3/5
Hence, Amount of white Paint used :
3/5 * 6.9 = (3 * 6.9) / 5 = 4.14 pints of white paint.
Pints of blue paints used :
Total pints - pints of white used
6.9 - 4.14 = 2.76 pints of blue paint
Help!
What is the missing term? What is the rule? 7 1/5 , 5 13/15 , _______, 3 1/5, 1 13/15
Answer:
4 8/15
Step-by-step explanation:
The rule is subtract 1 2/6 from the number (n):
(in equation) x = n - 1 2/6
$400 interest is earned on a principal of $2,000 at a simple interest rate of 5% interest per year. For how many years was the principal invested?
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
What is the angle measure of each angle (2x) degrees and x degrees
Answer:
x = 30
2x = 60
Step-by-step explanation:
2x + x = 90
3x = 90
x = 30
2(30) = 60
Explain the difference in meaning between 8^2 +2^2 and (8 + 2)^2?
8^2 +2^2 is 68 because you only square the integer. In (8 + 2)^2, you square the product of the equation.
Answer:8^2+2^2=68 and (8 + 2)^2=100
Step-by-step explanation:
8^2+2^2
=64+2^2
=64+4
=68
(8+2)^2
=10^2
=100
what does anyone know what perimeter is and area to help for me friends
Stephen's lunch bill is currently at $8.33. Stephen orders a fruit salad for take-out, and wants to leave $2.25 as a tip for his server. He has $10 and a $5 bill. How much change after paying for his lunch, the fruit salad, and the tip?
Answer:
$1.53
Step-by-step explanation:
The computation of the change in the bill is shown below:
Total money he has to pay is
= $8.33 + $2.25
= $13.47
And, he have
= $10 + $5
= $15
So, the change would be
= $15 - $13.47
= $1.53
A book sold 36,700 copies in its first month of release. Suppose this represents 7.1% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
PLEASE HELP!
Answer
516,901
Step-by-step explanation:
36,700/7.1%
you have to change the 7.1% to a decimal so its now
36,700/0.071= 516,901.4084507
round it to the nearest whole number is 516,901
If the price of gas increases from $1.01 per gallon to $1.21 per gallon, what is the percent of increase
Need help on 7-119 please
Answer:
segment a would be 2.5, b would be 2.5, and c would be 3.5 i believe
Step-by-step explanation:
to get a midpoint, you measure the distance between the two endpoints, then divide that answer by 2.
Write the slope-intercept form of the linear equation of a line with slope of -3/4 and a y intercept of (3,0)
Answer:
y= -3/4 +3
Step-by-step explanation:
slope-intercept form formula is y=mx+b
mx= slope
b= y-intercept
Therefore, if you input the numbers into the equation it is
y=-3/4 +3
it is 3 because this point is located at 3 on the y-axis
Factor this expression completely. 17x − 51y − 17 A) −17(x − 3y − 1) B) 17(x − 3y + 1) C) 17(x − 3y − 1) D) 17(x − 3y − 2)
what is x and y. help plz!!!!!!!
Answer:
x = 11
y = 1
Step-by-step explanation:
N : M
8 : 1
8 N = 1 M
since there is 1 M per every 8 N, y would be 1
to find x, just take 88 and divide it by 8 to get 11
18,26,28,22,17,28,10,16,6
Find mean,median and mode
Answer:
Mean-19
Mode-28
Median-18
Step-by-step explanation:
Help me pls djejefjcskaeddn
Answer:
Step-by-step explanation:
1 Yes they are right angles, it is a right angle because you solve it with a Sine equation
2 the hypotenuse is the longest side
3. If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.
the angle of a quadrilateral are in the ratio 1 : 2 :3 :4 if the sum of the angles of a quadrilateral is 360 degree find the measure of each angle
Answer:
Step-by-step explanation:
Let the angles of quadrilateral be
x, 2x, 3x , 4x
sum of all angles of quadrilateral = 360°
x + 2x + 3x + 4x = 360°
10x = 360°
x = 360/10 = 36°
Ans. the four angles are :-
x = 36°
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°
4x = 4 × 36 = 144°
Answer:
Step-by-step explanation:
Let the angles of quadrilateral be
x, 2x, 3x , 4x
sum of all angles of quadrilateral = 360°
x + 2x + 3x + 4x = 360°
10x = 360°
x = 360/10 = 36°
Ans. the four angles are :-
x = 36°
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°
4x = 4 × 36 = 144°
need help, tyyyyyyyy
Answer:
$30
Step-by-step explanation:
s = shorts
t = tshirts
s + 2t = 60
s + 3t = 75
s + 2t = 60
rewrite
-2t -2t
s = 60 - 2t
s + 3t = 75
plug in
(60 - 2t) + 3t = 75
solve
60 - 2t + 3t = 75
60 + t = 75
-60 -60
t = 15
s + 2t = 60
plug in
s + 2(15) = 60
s + 30 = 60
-30 -30
s = 30
If a number is added to a set that is far away from the mean, how does this affect standard deviation?
Adding a number to the set such that the number is further away from the mean, will increase the SD. This is because the average distance of the numbers from the mean increases.
The Standard Deviation will increase if a new number is added to the collection that deviates more from the mean. This is due to an increase in the standard deviation of the numbers.
How the standard deviation is affected if a number is added to a set that is far away from the mean?The standard deviation demonstrates how widely things vary or diverge from the mean (mean, or expected value).
The Standard Deviation will vary if all terms in the set are multiplied or divided by the same number. The Standard Deviation will vary by the same amount.
The same number will likewise be changed for the mean. Imagine an animated, proportionate size growth for the spatter. There will be a change in the "measure of spread". The distance between each term and the mean doubles if every term is doubled, but the distance between each term also doubles, increasing the standard deviation. The Standard Deviation gets smaller if each word is divided by two.
In general, the Standard Deviation is decreased when a new number is added to the set that is extremely close to the mean. Visualize the paint spatter on the wall. Would the dispersion be more or smaller if we paint a droplet extremely near the center? – decrease because there are now relative to before more droplets at the center.
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After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?
addition
multiplication
subtraction
division
Answer: multiply
Step-by-step explanation: