Answer: 22.5
Step-by-step explanation:
From the question, we are informed that wooden houses are being built on a concrete base and that each base needs 400 kg of concrete. We are further told that cement truck carries 9 tonnes of concrete.
To calculate the amount of bases that can be laid from one truck load of concrete, we first have to convert the 9 tonnes of concrete to kilogram. It should be noted that:
1000kg = 1 ton
9 tonnes = 9 × 1000 = 9000kg
Since each base needs 400 kg of concrete, the number of bases can be laid from one truck load of concrete will then be:
= 9000kg/400kg
= 22.5 bases
Find the value of this expression if x = -7.
X2 +7
X
Enter the correct answer.
Answer:
56
Step-by-step explanation:
Simply plug in -7 for x:
(-7)² + 7
49 + 7
56
a man bought second hand bicycle for rs 1120 and spend rs160 to repair it. he sold it for rs1344, find his profit or loss percent
Answer:
5 %Solution,
Total Cost price (CP) = Rs 1120 + Rs 160
= Rs 1280
Selling Price (SP) = Rs 1344
Here,
SP > CP , so he made profit.
Amount of profit = SP - CP
= Rs 1344 - Rs 1280
= Rs 64
Now, finding the profit percent,
Profit %=[tex] \frac{profit \: }{cp} \times 100 \: percent[/tex]
[tex] \frac{64}{1280} \times 100 \: percent[/tex]
[tex]5 \: percent[/tex]
Profit percent = 5%
Hope this helps...
Good luck on your assignment...
TEN POINTS !!!!1 . Type the correct answer in the box. Simplify this expression:
Answer:
1
Step-by-step explanation:
Add the exponents of the as inside the parenthesis.
8+6 =14
Power to a power = multiplication of exponents.
14 times 1/7 = 2
[tex]\frac{a^2}{a^2}[/tex] When you divide, subtract exponents.
2-2 = 0
Any number to the zeroth = 1
The answer is 1.
Write an inequality and show on a number line all numbers:from (–3) to 2 exclusive.
Answer:
[tex]-3 < x < 2[/tex]
Step-by-step explanation:
Given:
Range: -3 to 2
Required:
- Write the inequality
- Represent on a number line
Let the variable be represented by x
The question says -3 and 2 are exclusive of x;
This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]
Write out the two inequalities
[tex]-3 < x[/tex] and [tex]x < 2[/tex]
Combine both inequalities
[tex]-3 < x < 2[/tex]
See attachment for number line
Notice that the circle on -3 and 2 are opened
This implies that -3 and 2 are exclusive of the inequality;
HELP AGAIN PLEASE ASap
What expression represents the volume of the cylinder,
in cubic units?
Answer:
second option
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here r = x and h = 2x , thus
V = π × x² × 2x = 2πx³
open the picture I wrote the explanation there
Please help and be fast! WILL GIVE BRAINLIEST!
Which situation is most likely to show a constant rate of change?
Answer:
The answer is A
Step-by-step explanation:
line plot
3.
A student builds unifix cube towers to represent the ages of the five children in her family. She places them in order from smallest to largest. She removes the shortest and tallest tower then removes the next shortest and tallest tower. The tower in the middle is remaining. This student has just found which average?
Mode
Mean
Range
Answer:
Mode
Step-by-step explanation:
The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.
So lets a student builds unifix cube towers to represent the ages of the five children as following:
3 1 2 2 4
Now the student first places them in order from smallest to largest
1 2 2 3 4
Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:
2 2 3
Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:
2
The tower in the middle is remaining i.e. 2
So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.
if an article is sold with 20% discount,there will be a profit of 15%.If it is sold at 10% discount, there will be a profit of Rs.200.Calculate the market price of an article
Answer:
MP = Rs. 978.72
The market price of the article is Rs. 978.72
Step-by-step explanation:
Let MP represents the market price.
Let SP represents the selling price.
Let CP represents the cost price.
if an article is sold with 20% discount then there will be a profit of 15%.
0.80MP = 1.15CP
0.80MP - 1.15CP = 0
If it is sold at 10% discount then there will be a profit of Rs.200
0.9MP - CP = 200
We are asked to find the market price of an article.
0.9MP - CP = 200
0.9MP×1.15 - 1.15CP = 200 ×1.15
1.035MP - 1.15CP = 230
But 1.15CP = 0.80MP
1.035MP - 0.80MP = 230
0.235MP = 230
MP = 230/0.235
MP = Rs. 978.72
Therefore, the market price of the article is Rs. 978.72
Will mark brainliest for this: A rectangle is mesured 3 cm by 6 cm. Three of theses rectangles are put together to make a larger rectangle. Work out the perimeter of the larger rectangle it is: 3 cm x 2 and 6 cm x 2 plus the height of the the two rectangles times 2 Hope this makes sense if you have any questions feel free to ask me
Answer:
Step-by-step explanation:
total length = 6 + 6 + 6 = 18 cm
total breadth = 3 + 3 + 3 = 9 cm
perimeter = 2 ( l + b )
= 2 ( 18 + 9 )
= 2 × 27
54
What is the slope of the line through (-2,-6)and (2,2)
Answer:
Y2-y1/x2-x1
=2-(-6)/2-(-2)
=8/4
=2
Step-by-step explanation:
Given two points of a line to find the slope we use the formula; y2-y1/x2-x1 Hence the answer above.
Which is the best example of a number written in scientific notation?
Answer:
It would be changing by which a person thinks.
But, I will pick 569.124.
It would be 5.69124e2. (or 5.6912 x 10^3)
Answer:
569.124
Step-by-step explanation:
What is this (2⋅3) ^2 −5^2 = I don't know what the dot means I think it means multiplication I got 11 am I right
Answer:
11
Step-by-step explanation:
Step 1: Parenthesis
6² - 5²
Step 2: Exponents
36 - 25
Step 3: Subtract
11
The dot is multiplication.
Answer:
11 is right, yes.
Step-by-step explanation:
The dot does mean multiplication. All you have to do is multiply 2*3 first, then do the powers, and you get 36-25, which is indeed 11.
In the figure, triangle ABC is similar to triangle APQ. Therefore, the value of x is , and the value of y is
Answer:
the same
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 70 degrees.
All triangles have 180 degrees.
So ABC has 180 degrees.
70 + 50 + ACB = 180 Combine like terms
120 + ACB = 180 Subtract 120 from both sides
ACB = 180 - 120
ACB = 60
y = ACB
y = 60 degrees
In two or more complete sentences describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.
Answer:
Here's what I get
Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum).
cos x = adjacent/hypotenuse
In terms of the unit circle,
"adjacent" = x
"hypotenuse" = 1, so
cos x = the x-coordinate
Let's evaluate cos x as we go around the unit circle.
[tex]\begin{array}{rr}\mathbf{x/^{\circ}} & \mathbf{\cos x} \\0 & 1 \\90 &0 \\180 & -1 \\270 & 0 \\360 & 1 \\\end{array}[/tex]
The function y = cos x starts at 1, then decreases smoothly through 0 at 90° to -1 at 180°.
It then increases smoothly through 0 at 270° to 1 at 360°, and the cycle repeats.
The minimum value is -1.
The maximum value is 1
The range is −1 ≤ y ≤ 1.
For the triangle with vertices P(-2,0), Q(4,6) and R(5,-3), find an equation for the median from
a) Vertex P
b) Vertex Q
Answer: [tex]\bold{a)\ y=\dfrac{9}{7}x+\dfrac{18}{7}}[/tex]
b) y = 3x - 6
Step-by-step explanation:
Median is the line from the Vertex to the Midpoint of the opposite side
a)
Step 1: Find the Midpoint of QR:
Q = (4, 6) R = (5, -3)
[tex]x_M=\dfrac{x_Q+x_R}{2}\qquad \qquad \qquad y_M=\dfrac{y_Q+y_R}{2}\\\\\\x_M=\dfrac{4+5}{2}\qquad \qquad \qquad \qquad y_M=\dfrac{6+(-3)}{2}\\\\\\x_M=\dfrac{9}{2} \qquad \qquad \qquad \qquad \qquad y_M=\dfrac{3}{2}[/tex]
[tex]Midpoint_{QR}=\bigg(\dfrac{9}{2},\dfrac{3}{2}\bigg)[/tex]
Step 2: Find the slope (m) for P (-2,0) to Midpoint of QR:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{\frac{9}{2}-0}{\frac{3}{2}-(-2)}\\\\\\m=\dfrac{\frac{9}{2}}{\frac{7}{2}}\\\\\\m=\bigg{\dfrac{9}{7}}[/tex]
Step 3: Find the equation of the line from P to Midpoint of QR:
[tex]y-y_P=m(x-x_P)\\\\\\y-0=\dfrac{9}{7}\bigg(x-(-2)\bigg)\\\\\\\\\large\boxed{y=\dfrac{9}{7}x+\dfrac{18}{7}}[/tex]
**************************************************************************************
b)
Step 1: Find the Midpoint of PR:
P = (-2, 0) R = (5, -3)
[tex]x_M=\dfrac{x_P+x_R}{2}\qquad \qquad \qquad y_M=\dfrac{y_P+y_R}{2}\\\\\\x_M=\dfrac{-2+5}{2}\qquad \qquad \qquad \qquad y_M=\dfrac{0+(-3)}{2}\\\\\\x_M=\dfrac{3}{2} \qquad \qquad \qquad \qquad \qquad y_M=-\dfrac{3}{2}[/tex]
[tex]Midpoint_{PR}=\bigg(\dfrac{9}{2},\dfrac{3}{2}\bigg)[/tex]
Step 2: Find the slope (m) for Q (4,6) to Midpoint of PR:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{6-(-\frac{3}{2})}{4-(\frac{3}{2})}\\\\\\m=\dfrac{\frac{15}{2}}{\frac{5}{2}}\\\\\\m=\bigg{3}[/tex]
Step 3: Find the equation of the line from Q to Midpoint of PR:
[tex]y-y_Q=m(x-x_Q)\\\\\\y-6=3(x-4)\\\\\\y-6=3x-12\\\\\\y=3x-12+6\\\\\\\large\boxed{y=3x-6}[/tex]
How can we interpret the independent or conditional probability of two events?
Hello!
A conditional probability can always be computed using the formula in the definition. Sometimes it can be computed by discarding part of the sample space. Two events A and B are independent if the probability P(A∩B) of their intersection A ∩ B is equal to the product P(A)·P(B) of their individual probabilities.
Hope this helps.
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find (f - g)(x).
A. x2 – 3x - 5
B. -X2 + 3x + 5
C. –3x² – 5x2
D. 3x3 - 5x2
Answer:
Option B
Step-by-step explanation:
=> [tex]f(x) = 3x+5[/tex]
=> [tex]g(x) = x^2[/tex]
Subtracting both
=> [tex](f-g)(x) = 3x+5-x^2[/tex]
Assembling
=> [tex](f-g)(x) = -x^2+3x+5[/tex]
I need some heavy help...
Answer:
the option 3 says that the volume of box is true.as volume of box is calculated by (v)= l×b×h
Answer:
Step-by-step explanation:
Volume is a cubic measure. That means that the label you get for volume is the length cubed. For example, if the sides of that box were meaured in inches, your label would be in inches cubed. To get a length cubed, you would multiply. If each of the length, width, and height all measured x, then our volume expression would be x*x*x which is x-cubed.
That should tell you that to find the volume of the box shown, you have to multiply the length, width, and height together. The option you want is C. The word "product" means to multiply, in case that was an issue with determining the correct answer.
can someone help me with this question, please?
Answer:
1080
Step-by-step explanation:
Multiply the value by 1440. Hope this helps!
Answer:
1080 minutes
Step-by-step explanation:
In a day there are 24 hrs so first we have to find 1 quarter of a day which will be;
24hrs ÷ 4 = 6hrs
The question says 3 quarters so you multiply 6hrs by 3
6hrs * 3 = 18hrs
Now will use proportion to answer the rest which is as follows.
If 1hr = 60 minutes,
then 18hrs = ? minutes
[tex]\frac{18}{1} * 60mins[/tex]
=1080 minutes.
Hope this will help.
There are an infinite number of vector and parametric equations for a given plane. Why is the scalar equation of a given plane unique?
Answer:
The answer is below
Step-by-step explanation:
When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same
I will give brainiest
Answer:
Amount the watch normally costs: w
Amount if the discount: 0.3w
Percent decrease of the discount, as a decimal: 0.3
Percent of the normal cost that Chad paid, as a decimal: 0.7
A box of crayons has 12 different coloured crayons in it. 4 crayons are given to one
child to play with, then another 4 are given to a second child to play with, and finally
the last 4 are given to a third child. In how many was can these crayons be
distributed?
Answer: 34,560
Step-by-step explanation:
Total crayons of different color = 12
Total children = 3
Each child will get 4 crayons.
Number of combinations of selecting r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways of selecting the first 4 crayons for first child = [tex]^{12}C_4=\dfrac{12!}{4!(12-4)!}=\dfrac{12\times11\times10\times9\times8!}{(24)\times 8!}\\\\=495[/tex]
Colors left = 12-4 =8
Now, the again selecting 4 colors out of 8 for second child = [tex]^{8}C_4=\dfrac{8!}{4!(8-4)!}=\dfrac{8\times7\times6\times5\times4!}{(24)\times4!}=70[/tex]
Colors left =4
Number of ways of selecting 4 colors out of 4 for third child =1
Total number of ways = 495 x 70 x 1 = 34650 [By fundamental principle of counting]
Hence, the total number of ways = 34,560.
Find the value of this expression if x = 7.
x2 + 3
x - 9
Enter the correct answer.
Answer: -34
Step-by-step explanation:
Step 1: 7x2=14
Step 2: 14+3=17
Step 3: 7-9=-2
Step 4: 17x-2= -34
One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How many more inches did it rain in May than in April?
MONTH
March 5.7
April6.3
May13.8
Subtract the values for May and April
13.8 - 6.3 = 7.5
Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.
Answer:
x = -2/3, 1/3
Step-by-step explanation:
Step 1: Factor
(3x + 2)(3x - 1) = 0
Step 2: Find roots
3x + 2 = 0
3x = -2
x = -2/3
3x - 1 = 0
3x = 1
x = 1/3
Answer:
Step-by-step explanation:
factor ; (3x-1)(3x+2)=0
then make both 3x-1 and 3x+2 equal to 0
(3x-1)=0 solve 3x+2=0
+ 1 +1 -2 -2
_______ _______
3x = 1 3x = -2
x =1/3 x= -2/3
check for to make sure both solutions work by plugging back into the equation
The height of a tree at time t is given by h(t) = 2t + 3, where h represents the height in inches and t represents the number of months. Identify the independent and the dependent variables.
Answer:
Step-by-step explanation:
You see that 't' is the 'argument' or 'input' to h: h(t). It is always safe to assume that t is the independent variable and h is the depend
what are the points on this website even for?
Answer:
To ask questions you need points.
Step-by-step explanation:
Answer:
They help you ask questions as it costs points to ask questions, and the more points you use on a question, the more points someone gets for answering it, meaning they are more likely to answer your question.
They also are used as a form of ranking users, based on how much time they spend on the site helping people and such.
Jerry is paving the parking spot shown below. It costs $ 50 $50dollar sign, 50 to pave each square meter. Find the cost to pave the parking spot. 6 1 4 m 6 4 1 m 4 m 4 m
Jerry is paving the parking spot shown in the attached file below.
It costs $ 50 to pave each square meter. Find the cost to pave the parking spot [tex]6 \dfrac{1}{4}\ m[/tex].
Answer:
$1250
Step-by-step explanation:
From the image attached below;
The paving of Jerry around the parking spot assume a shape of parallelogram.
However, in order to find the cost to pave the parking spot, we need to first determine the area of the assume shape of the parking spot (i.e parallelogram)
Area of a parallelogram = Base × height
where;
the base = 4m
the height = [tex]6 \dfrac{1}{4}\ m[/tex]
Area of a parallelogram = [tex]4 \times 6 \dfrac{1}{4}[/tex]
Area of a parallelogram = [tex]4 \times \dfrac{25}{4}[/tex]
Area of a parallelogram = 25 m²
Since it cost $50 to pave 1 square meter;
∴
The cost to pave 25 m² area of the parking spot is
= 25 × 50
= $1250
Answer:
1250
Step-by-step explanation:
The parking space is in the shape of a parallelogram, so to find the area needed to pave it, you will use the formula for finding area of a parallelogram.
A = 4 x 6 1/4
A = 25 square meters
You will pave 25 square meters.
25 x 50 = 1250
The Jerry will pay $1250.
Pattered sheets cost $0.50 each or packages of 60 for $19.99. If Tanesha needs 92 sheets, how much will she save if she buys 2 packages instead of paying individually for the sheets?
Answer:
$7.02
Step-by-step explanation:
Price of 92 sheets = 92 * $0.50 = $46
Price of 2 packages = 2 * $19.99 = $38.98
Savings = $46 - $38.98 = $7.02