Answer:
10ftx15ft could be possibility.
Step-by-step explanation:
Solve for c.
-64 ≥ -103 - C
Answer:
-39 is less than or equal to C
Step-by-step explanation:
39 is greater or equal to -C
-39 is less than or equal to C
Two boxes have the same volume. One box has a base that is 222 inches by 222 inches. The other box has a base that is 444 inches by 444 inches.
How many times as tall is the box with the smaller base?
Answer:
2 times
Step-by-step explanation:
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
Answer:
Area = 370 m²
Cost to paint = £105
Step-by-step explanation:
Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = [tex]\frac{1}{2}(11+12)\times 6[/tex]
= 69 m²
Area of the rectangle (2) = Length × Width
= 12 × 15
= 180 m²
Area of the trapezoid (3) = [tex]\frac{1}{2}(12+10)\times 11[/tex]
= 121 m²
Now area of the wall = 69 + 180 + 121
= 370 m²
One tin covers the area = 25 m²
Number of tins required to paint the wall = [tex]\frac{\text{Total area}}{\text{Area covered by one tin}}[/tex]
= [tex]\frac{370}{25}[/tex]
= 14.8
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
= £105
Which of the following can be used to evaluate the series 224)***,
Answer:
442
Step-by-step explanation:
what should be added to twice a rational Number -7/3to get 3/7
Answer:
107/21
Step-by-step explanation:
re - phrase the question algebraically:
-14/3 + y = 3/7
LCM of 3 and 7 = 21
-98/21 + y = 9/21
what should be added to -98 to make 9?
answer: 107
therefore answer: 107/21
Hope this helps.
Good Luck
What is the solution to the system of equations?
-2x + 3y = 13
3x + 4y = 6
Answer:
x = -2
y = 3
Step-by-step explanation:
You are given a system of two linear equations:
-2x + 3y = 13
3x + 4y = 6
One of the good ways to solve this system is trying to eliminate one variable (x or y), calculate the remaining variable and substitute the calculated variable back into system to solve for eliminated variable.
Here, we will manipulate the original system, so that we can easily eliminate x.
Let's multiply both sides of the first equation by 3 and the second equation by 2 (this manipulating step does not change the original system of equations).
3*(-2)x + 3*3y = 3*13
2*3(x) + 2*4y = 2*6
<=>
-6x + 9y = 39
6x + 8y = 12
Now, we add up two equations, left side + left side, right side + right side, we obtain:
-6x + 9y + 6x + 8y = 39 + 12
or
17y = 51
We divide both sides of equation by 17, to get y.
=> y = 51/17 = 3
Substitute y = 3 back into the first equation of system (or the second equation, it doesn't matter, here we choose the first one).
=> -2x + 3*3 = 13
=> -2x + 9 = 13
=> -2x = 4
=> x = -2
=> The solution of this system is (x, y) = (-2, 3)
Hope this helps!
:)
10. A school is trying to schedule periods of Chemistry and Algebra II.
They find that a total of 386 students are taking either one or both of
the two courses. If 298 students signed up for Algebra II and 328 have
signed up for Chemistry, what would be the probability that a student
chosen at random from the 386 will be signed up for both of the
courses? Round your answer to the nearest whole number percent.
Answer:
~62%
Step-by-step explanation:
Let n(A) be the number of students signed up for Algebra II.
Given that n(A) = 298
Let n(B) be the number of students signed up for Chemistry.
Given that n(B) = 328
n(A [tex]\cup[/tex] B) will be the number of students who have signed up for either one or both of two subjects.
n(A [tex]\cup[/tex] B) = 386
Formula for n(A [tex]\cup[/tex] B):
n(A [tex]\cup[/tex] B) = n(A) + n(B) - n(A [tex]\cap[/tex] B)
Where n(A [tex]\cap[/tex] B) is the number of students signed up for both the courses.
Putting the values in the formula above:
386 = 298 + 328 - n(A [tex]\cap[/tex] B)
n(A [tex]\cap[/tex] B) = 240
Formula for Probability of an event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cup B) }{n(A \cap B)}[/tex]
[tex]\Rightarrow P(A \cap B) = \dfrac{240 }{386}\\\Rightarrow P(A \cap B) = 62.17\%[/tex]
Hence, the required probability is ~62%
The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Calculation of the probability:
Since total of 386 students are taking either one or both of the two courses. If 298 students signed up for Algebra II and 328 have signed up for Chemistry
So here the no of students that signed up for both subjects should be
= 298 + 328 - 386
= 240
Now the probability is
[tex]= 240\div 386[/tex]
= 62%
Hence, The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Learn more about probability here: https://brainly.com/question/16923992
Find a coterminal angle to -180 degrees.
Answer:
540 degrees
Step-by-step explanation:
if x
varies directly as y.
x=5 and y=10. find the
Value of a x when y=
3
Answer:
x = 1.5 when y = 3
Step-by-step explanation:
You can put this in a ratio:
x : y
5 : 10
1.5 : 3
x is 1.5 when y is 3.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!
Answer:
-136x
Step-by-step explanation:
Pls brainliest
The slope of a line is
oni -
and the y-intercept is 5. What is the equation of the line written in general
5'
form?
Answer:
I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:
y = 1x+5, you spelled 1 wrong so I just correct it.
Answer: y = x+5Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation. What is the scale factor of the dilation?
1/3
3
4
1/4
Answer: 4
Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4
The scale factor for the given dilation is 3
What is Dilation?Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.
If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as : (x, y) → (k x, k y).
The scale factor ,k = coordinate of image / coordinate of original
Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure
Scale Factor = coordinate of image / coordinate of original
= OA' / OA = 9/3 = 3
Therefore, the scale factor for the given dilation is 3.
Also, Learn more about dilation from the link given below:
https://brainly.com/question/17062921
#SPJ5
(Literal equations) The formula for the volume of a cylinder is V = πr^2h. Solve V = πr^2h for h, the height of the cylinder. A. h= π/Vr^2 B. h= πr^2/V C. h= V/πr^2 D. h= πV/r^2
Answer:
C
Step-by-step explanation:
Given
V = πr²h
Isolate h by dividing both sides by πr²
[tex]\frac{V}{\pi r^2}[/tex] = h → C
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each division expression with the correct quotient.
6x - 8
5x - 8
2x + 6
8r - 2
6x + 5
2x + 5
50 + 6
5.1 – 2
A:(1812 + 150) - 3.1
B:(16x2 + 48x) - 81
C:(56x2 - 14x) = 7x
D:(20x2 – 32x) = 4x
Answer:
A. 6 x + 5
B. 2 x + 6
C. 8 x - 2
D. 5 x - 8
Step-by-step explanation:
Given: division expressions
To find: quotient of each of the division expressions
Solution:
Use formula: [tex]\left ( \frac{x^m}{x^n} \right )=x^{m-n}[/tex]
A.
[tex]\frac{18x^2+15x}{3x}=\frac{18x^2}{3x}+\frac{15x}{3x}=6x^{2-1}+5=6x+5[/tex]
B.
[tex]\frac{16x^2+48x}{8x}=\frac{16x^2}{8x}+\frac{48x}{8x}=2x^{2-1}+6=2x+6[/tex]
C.
[tex]\frac{56x^2-14x}{7x}=\frac{56x^2}{7x}-\frac{14x}{7x}=8x^{2-1}-2=8x-2[/tex]
D.
[tex]\frac{20x^2-32x}{4x}=\frac{20x^2}{4x}-\frac{32x}{4x}=5x^{2-1}-8=5x-8[/tex]
Answer:
A.[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]
B.[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]
C.[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]
D.[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]
Step-by-step explanation:
A.[tex]\frac{18x^2+15x}{3x}[/tex]
[tex]\frac{3x(6x+5)}{3x}[/tex]
=[tex]6x+5[/tex]
[tex]\frac{18x^2+15x}{3x}=6x+5[/tex]
B.[tex]\frac{16x^2+48x}{8x}[/tex]
=[tex]\frac{16x(x+3)}{8x}[/tex]
[tex]=2(x+3)[/tex]
[tex]=2x+6[/tex]
[tex]\frac{16x^2+48x}{8x}=2x+6[/tex]
C.[tex]\frac{56x^2-14x}{7x}[/tex]
[tex]=\frac{14x(4x-1)}{7x}=2(4x-1)=8x-2[/tex]
[tex]\frac{56x^2-14x}{7x}=8x-2[/tex]
D.[tex]\frac{20x^2-32x}{4x}[/tex]
=[tex]\frac{4x(5x-8)}{4x}=5x-8[/tex]
[tex]\frac{20x^2-32x}{4x}=5x-8[/tex]
Select the correct answer. Which economic indicator measures inflation? A. GDP B. CPI C. unemployment rate
Answer:
B
Step-by-step explanation:
The correct answer is CPI. It shows the average price over time paid by consumers.
Hope this helps! (Please consider giving brainliest)
P.S: This is not a mathematics question.
The economic indicator measures inflation among the options given is: C. unemployment rate
What is an economic indicator that measures inflation?CPI (Consumer Price Index) is the appropriate economic indicator for assessing inflation as it monitors price fluctuations of a designated basket of goods and services, giving insights into average price changes.
Conversely, GDP (Gross Domestic Product) quantifies the total value of goods and services produced in an economy, while the unemployment rate measures the percentage of the labor force without jobs.
Therefore, the answer is: C. unemployment rate
Learn more about inflation on:
https://brainly.com/question/21586910
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Solve for b.
2b + 9 = b
b =
Answer:
-9
Step-by-step explanation:
9=b-2b
9=-b
divide both sides by -
b=-9
Answer:
[tex] \boxed{b = 9} [/tex]
Step-by-step explanation:
[tex] = > 2b + 9 = b \\ \\ = > 2b - b + 9 = 0 \\ \\ = > b + 9 = 0 \\ \\ = > b = - 9[/tex]
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Answer:
work is shown and pictured
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:-5-1 c
Step-by-step explanation:
what type of solutions does this equation have
Answer:
2 imaginary solutions
Step-by-step explanation:
I’m tryna figure out how find the value of x
Step-by-step explanation:
tan(37) = x/3
x=tan(37)*3
who can please help solve and explain
Answer:49882
when I put a number over a number it means I can't put the whole number inside the answer line so I toke out the last number and put it in
5 0 9
× 9 8
45810. this is from multiplying with the nine
+ 4062. this is from multiplying with the right
49882 this is the answer
u had to add the two answer and that's how I got 49882
Find the exact value of each expression. sin75 degrees and cos(-75 degrees).
Answer:
0.965925826
0.258819045
Step-by-step explanation:
→If you were to calculate [tex]sin(75)[/tex], you would have a total of:
0.965925826
→If you were to calculate [tex]cos(-75)[/tex], you would have a total of:
0.258819045
Find the perimeter and the area of the composite shape..
Answer:
area- 36.07 cm^2
perimeter- 28cm
Step-by-step explanation:
1) we could break the composite shape into 2 seperate shapes:
1 shape- measuring 3.1 by 3.4 cm
2nd shape- measuring (3.1)+(3.8)cm by 3.7 cm
since both shapes are rectangles we can find area by multiplying length and width
so 3.1*3.4=10.54
and 3.1+3.8=6.9
6.9*3.7=25.53
we can add both areas up to get TOTAL area of figure:
25.53+10.54=36.07
area- 36.07 cm
to find perimeter: there are 2 unknown sides in this figure, the bottom side length can be found out by adding 3.1 and 3.8, which is 6.9 and the side adjacent to the bottom one can be found by adding 3.4 and 3.7, which is 7.1
now we add up all the numbers: 3.1+3.4+3.8+3.7+6.9+7.1= 28
28 cm
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer and 0 for answer not attempted. Ram gets 3 correct and 4 incorrect out of 7 questions he attempted. What is his score?
Answer: He scored 7 marks
Step-by-step explanation:
Correct answer gets +5, so 5 * 3 = 15
Incorrect answer gets -2 so -2 * 4 = -8
So he scored 15 - 8 = 7
Find the size of the final unknown interior angle in a polygon whose other interior angles are:
Answer:
Step-by-step explanation:(2ñ-4)90
(7×2-4)90
=900°
900-(162+125+148+105+98+115)
900-753
=147°
Use the
DULive
(7 x 9) - (7 x 2) = (x (9 - 2)
Answer:
X=7
Step-by-step explanation: I
63-14=7x
7x=49
x=7
Suppose you are playing Rock, Paper, Scissors. Once you choose what you want to throw , you roll a 6 sided die. How many options exist in your sample space?
Answer:
18, if im correct...
Step-by-step explanation:
I'm pretty sure you would multiply the 6 options (for each die side) by the 3 options (rock, paper, or scissors) together.
so 6*3=18
Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?
Answer:
$123.45+$36.55
= $160
Step-by-step explanation:
What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?
Answer:
39.0953=39cm2
Step-by-step explanation:
Minor arc =70
Angle of arc=70
Then this sector =70/360=7/36 of the circle
Then area = 7/36x3.14x8x8=39cm2 approximatly
Please help this is past due
Answer:
See below.
Step-by-step explanation:
Alexi originally has $43 in his bank account and deposits $7 per week.
Week 1: $50
Week 2: $57
Week 3: $64
Week 4: $71
Week 5: $78
The pattern is that it increased $7 every week starting from $43.
A pattern rule would be: y = 7x + 43 where x represents the number of weeks.
