Notice that the plane figures above are congruent with each other, so that
#6x/8 = 4/16
16x = 8 × 4
16x = 32
x = 2
#7x/5 = 48/6
6x = 5 × 48
6x = 240
x = 40
#8x/7 = 90/10
10x = 7 × 90
10x = 630
x = 63
#93/x = 10/40
10x = 3 × 40
10x = 120
x = 12
Using the information of each pair and thus calculate the value of X, then:
6)x= 2
7)x=40
8)x=63
9)x=12
So calculating the value of X, we have:
6) x/8 = 4/16
16x = 8 × 4
16x = 32
x = 2
7) x/5 = 48/6
6x = 5 × 48
6x = 240
x = 40
8) x/7 = 90/10
10x = 7 × 90
10x = 630
x = 63
9)3/x = 10/40
10x = 3 × 40
10x = 120
x = 12
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A cylinder has a cross-section circumference of 56cm. The height of the cylinder is 3.2cm. Calculate the volume and surface area of the cylinder.
Answer:
volume = 798.58 cm³ (nearest hundredth)
surface area = 678.31 cm³ (nearest hundredth)
Step-by-step explanation:
Volume of a cylinder: [tex]V=\pi r^2h[/tex]
Surface area of a cylinder: [tex]SA=2\pi r^2+2\pi rh[/tex]
Circumference: [tex]C=2\pi r[/tex]
(where r is the radius and h is the height)
Given circumference = 56
⇒ [tex]56 = 2\pi r[/tex]
⇒ [tex]r=\dfrac{56}{2\pi }=\dfrac{28}{\pi }[/tex]
[tex]V=\pi \left(\dfrac{28}{\pi}\right)^2 \times3.2=\dfrac{2508.8}{\pi}=798.58 \textsf{ cm}^3 \textsf{ (nearest hundredth)}[/tex]
[tex]SA=2\pi \left(\dfrac{28}{\pi}\right)^2+56 \times3.2=\dfrac{1568}{\pi}+179.2=678.31 \textsf{ cm}^3 \textsf{ (nearest hundredth)}[/tex]
In a choose. Cross of choose. Pea plants with round (r) yellow (y) seeds, there will be a choose. Ratio of 9 choose. , 3 choose. , 3 choose. , and 1 choose. .
The pea plants and the yellow seeds are illustrations of genotype ration
The complete statement is: In a monotype cross of heterozygous pea plants with round (R) yellow (Y) seeds, there will be a ratio of 9 round and yellow, 3 round and not yellow, 3 not round and yellow, and 1 not round and not yellow
How to determine each ratio of the genotypeTo determine the count, we make use of the following representations
Round and Yellow -> RRYYRound and not yellow -> RRyyNot round and yellow -> rrYYNot round and not yellow -> rryyFrom the complete question, we have:
Round and Yellow (RRYY) = 9Round and not yellow (RRyy) = 3Not round and yellow (rrYY) = 3Not round and not yellow (rryy) = 1Hence, the complete statement is:
9 round and yellow, 3 round and not yellow, 3 not round and yellow, and 1 not round and not yellow
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If B=w +9w- and A=3- 10w, find an expression that equals B - A in
standard form.
Answer:
9 w2 + 11 w - 3
Step-by-step explanation:
Add 9 to me. then multiply by 3. if you subtract 16 and then add 7, you get 27 what number am I?
Answer:
3
Step-by-step explanation:
Just do inverse:
27-7=20
20+16=36
36÷3=12
12-9=3
To check:
3+9=12
12×3=36
36-16=20
20+7=27
✅
Answer:
It should be 3.
Step-by-step explanation:
27-7=20+16=36÷3=12-9=3
a taxi charges $2 per mile. there is also a $3 callout charge. how is distance related to cost. can you write an equation?
Answer:
y= 3$ + x km * 2$
Step-by-step explanation:
since the callout price is 3$ you are gonna pay at least this much.. and then for every km/mile you will pay 2$.
Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard rock.
Part A: How many teenagers surveyed like hard rock? Show your work. (4 points)
Part B: In another survey, Damian found that 75% of the total number of teenagers surveyed like pop music. If 150 teenagers like pop music, what is the total number of teenagers that Damian surveyed? Show your work. (4 points)
Part C: Give an example of a situation in which a percentage is greater than 100%. (2 points) i need help on part B.
Answer:
In explanation
Step-by-step explanation:
272 for part A because say you took a test out of 850 and you got a total of 272 of them right then you would of gotten a 32%
200 for 2 because if 75% of them liked pop music and 150 teenagers what the number of teenagers surveyed then that means 200 of them were surveyed because 150 out of 200 is 75%
I don't know the last one because if you had anything there only could get a 100%(im sorry for this one it's a little confusing.
Hope this helps have a great afternoon:)
Write an equation of the line that passes through the point (–7, –9) with slope –4.
Answer:
D. y + 9 = -4( x + 7 )
slope -4
y-intercept (0,-37)
-
(-7 , -9 ) - slope -4
by using slop-intercept form
y = -4x - 37
please help me it's due tomorrow
Answer:
Uhm uhm i think its 10
Step-by-step explanation:
because 25% of 40 is 10
Sorry if wrong :,D
What has a better value .3 or .26
0.26 is the better and more accurate value as it has a more decimal point. However, if the question were to ask you to round to the nearest tenths, then 0.3 would be the better answer
Answer: 0.30 is > than 0.26 if that’s what you mean?
Step-by-step explanation:
0.3 can be written as 0.30
the height in feet of a dolphin as it jumps out of the water at an aquarium show can be modeled by the function f(x)=-16x^2+32x where x is the time is seconds after it exits the water use the function to complete the graph on the given set of axes what is the maximum height of the dolphin?
Answer:
the answer is 3 to the power of 6
Step-by-step explanation:
what is the answer in ft
(no link)
Answer:
22
Step-by-step explanation:
add them all together
Which ordered pair is on the graph of the equation 3x + 7y = 11?
(6, –1)
(1, –2)
(0,–4)
(0, 4)
Answer: (6, -1)
Step-by-step explanation:
Plug each pair in:
3(6)+7(-1)=11
11=11
True, so the first pair works.
could you answer the question number b
Answer:
450 - 120 - 80
=250
2/5 × 250 = 100. A
3/5 × 250 = 120 B
Answer:
Grade A 2:9
Grade B 1:3
Grade C 4:15
Step-by-step explanation:
Students in grade A:
[tex]450-(120+80)=450-200=250[/tex]
if the ratio is 2:3 then
[tex]A=(250/5)(2)=(50)(2)=100[/tex] students
The ratio of students with grade A:
[tex]\frac{100}{450}=\frac{10}{45} =\frac{2}{9}[/tex]
= [tex]2:9[/tex]
Students with grade B.
[tex]B=250-100=150[/tex]
The ratio of B:
[tex]\frac{150}{450} =\frac{15}{45} =\frac{1}{3}[/tex]
[tex]= 1:3[/tex]
Ratio of students with grade C:
[tex]=\frac{120}{450} =\frac{12}{45} =\frac{4}{15}[/tex]
[tex]=4:15[/tex]
Hope this helps
What are two forms an employee is required to fill out at the beginning of the employment process?
A. W2 and 1040
B. W2 and 19
C W2 and W4
D. W4 and 19
Answer:
A. W2 and 1040 to begin a job.
Answer: B.) W-4 and I9
Hope this helps :)
solve for x.
2x + 4
4x - 88
Answer:
x=+46
Step-by-step explanation:
2x+4=4x-88
We move all terms to the left:
2x+4-(4x-88)=0
We get rid of parentheses
2x-4x+88+4=0
We add all the numbers together, and all the variables
-2x+92=0
We move all terms containing x to the left, all other terms to the right
-2x=-92
x=-92/-2
x=+46
PLEASE HELP! ANY IRRELEVANT INFORMATION WILL BE REPORTED!
Find the slope of the line/graph.
Answer: Your Slope is 4/5
Step-by-step explanation:
Easiest way to find slope on a graph is to
Find a point that lies exactly on the line (-5,2)then move to the right until you are directly beneath or above your next direct point (5 to the right)Then move up/down until you meet that point (4 up)replace 'rise' with the value from #3 and 'run' with the value from #2 (4/5)brainliest will be nice
Answer:4/5
Step-by-step explanation:
Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows.
Client
Project Leader 1 2 3
Jackson 10 16 32
Ellis 14 22 40
Smith 22 24 34
Required:
Develop a network representation of this problem.
The most appropriate client-leader relationship would be leader 1 - Jackson, leader 2 - Ellis, and leader 3 - Smith.
How to represent this problem?To represent this problem we must take into account the data they provide us. Once we see this data, we can infer that the best way to represent it is a bar graph that allows us to compare the data of each project leader with respect to each client.
This graph allows us to draw conclusions about what would be the most efficient way to assign the leaders with the clients. Therefore, the best distribution would be:
leader 1 - jacksonleader 2 - Ellisleader 3 - SmithLearn more about bar chart in: https://brainly.com/question/22600816
36 cm/sec to mph in dimensional analysis
Answer:
There are 2.54 centimeters in an inch. There are 63,360 inches in a mile. So, there are 160,934 centimeters in a mile. There are 3600 seconds in an hour.
36 cm/sec is 36 times 3600 cm/hour = 129,600 cm/hour. Therefore, there are 129,600/160,934 miles per hour = 0.80529 mph
Step-by-step explanation:
hope it helps
The speed from centimeters per second to miles per hour will be 0.805 miles per hour.
What is conversion?Unit modification is the process of converting the size of a given amount between different units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
The speed is given below.
Speed = 36 cm per second
We know that in 1 centimeter, there are 1 / 160934 miles. And in one second, there are 1/3600 hours.
Then convert the speed from centimeters per second to miles per hour. Then we have
Speed = 36 x (1/160934) ÷ (1/3600)
Speed = 36 x 3600 / 160934
Speed = 129600 / 160934
Speed = 0.805 miles per hour
The speed from centimeters per second to miles per hour will be 0.805 miles per hour.
More about the conversion link is given below.
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40
28
60
42
A. AA-
B. SSS-
C. SAS-
D. Not Similar
I need help I can’t figure this out
Answer:
I know this might not be a solid answer but its out of B or C but most likely B because they are all on the side of the triangle so pretty much B
Solve x2 - 12x + 5 = 0 using the completing-the-square method.
5 8/9 - 2 5/7
A 11/63
B 3 3/7
C 3 11/63
D 4 1/2
Answer: c
Step-by-step explanation:
Answer:
C [tex]3\frac{11}{63}[/tex]
Step-by-step explanation:
[tex]5\frac{8}{9} -2 \frac{5}{7}[/tex]
= [tex]\frac{53}{9} - 2\frac{5}{7}[/tex]
= [tex]\frac{53}{9} - \frac{19}{7}[/tex]
= [tex]\frac{200}{63}[/tex]
= [tex]3\frac{11}{63}[/tex]
pls branliest
simplify the polynomial then finds its value for the given value of the variable 3x^3-x^3+5x^3-9x^3 if x=-1
Answer: 2
Step-by-step explanation:
3•(-1)^3 - (-1)^3 + 5•(-1)^3 - 9•(-1)^3
3•(-1) - (-1) + 5•(-1) - 9•(-1)
-3 +1 -5 +9= 2
Given the picture of two intersecting lines, what is the value of x?
(5x-2)
(4x + 17)
A. 1.6
B. 2.1
C. 15
D. 19
Answer: D
Step-by-step explanation:
Vertical angles are congruent, so
5x-2 = 4x + 17
x = 19
Match each expression in the top row with an equivalent expression in the bottom row.
Answer:
Step-by-step explanation:
Let's say :
|1|2|3|4|
|a|b|c|d|
so it would be:
1.b) 2.d) 3.c) 4.a)
[tex]2\sqrt{3x^{2} y}[/tex] = [tex]x\sqrt{12y}[/tex], [tex]2x\sqrt{6xy^{2} }[/tex] = [tex]y\sqrt{24x^{3} }[/tex], [tex]2y\sqrt{2x^{4} }[/tex] = [tex]x^{2} \sqrt{8y^{2} }[/tex], [tex]3x^{2} \sqrt{2y^{4} }[/tex] = [tex]xy\sqrt{18x^{2} y^{2} }[/tex]
What is an expression?An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.
Given expression
(i) [tex]2\sqrt{3x^{2} y}[/tex]
= [tex]2x\sqrt{3y}[/tex]
= [tex]x\sqrt{12y}[/tex]
(ii) [tex]2x\sqrt{6xy^{2} }[/tex]
= [tex]2xy\sqrt{6x}[/tex]
= [tex]y\sqrt{24x^{3} }[/tex]
(iii) [tex]2y\sqrt{2x^{4} }[/tex]
= [tex]2x^{2} y\sqrt{2}[/tex]
= [tex]x^{2} \sqrt{8y^{2} }[/tex]
(iv) [tex]3x^{2} \sqrt{2y^{4} }[/tex]
= [tex]3x^{2}y^{2} \sqrt{2}[/tex]
= [tex]xy\sqrt{18x^{2} y^{2} }[/tex]
Hence, [tex]2\sqrt{3x^{2} y}[/tex] = [tex]x\sqrt{12y}[/tex], [tex]2x\sqrt{6xy^{2} }[/tex] = [tex]y\sqrt{24x^{3} }[/tex], [tex]2y\sqrt{2x^{4} }[/tex] = [tex]x^{2} \sqrt{8y^{2} }[/tex], [tex]3x^{2} \sqrt{2y^{4} }[/tex] = [tex]xy\sqrt{18x^{2} y^{2} }[/tex]
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Simplify................................................
[tex] \displaystyle{5 \frac{1}{6} + 2 \frac{1}{3} - 5 \frac{11}{12} }[/tex]
Answer:
see below:-
Step-by-step explanation:
Given,
[tex] \displaystyle{5 \frac{1}{6} + 2 \frac{1}{3} - 5 \frac{11}{12} }[/tex]
Convert the mixed fractions into improper fractions.[tex] \displaystyle{ \frac{31}{6} + \frac{7}{3} \ - \frac{71}{12} }[/tex]
Take LCM of the denominators:-LCM of 6,3 and 12=3×2×1×1×2=12[tex] \therefore{\displaystyle{ \frac{31}{6} + \frac{7}{3} - \frac{71}{12} = \frac{31 \times 2 + 7 \times 4 - 71 \times 1}{12} }}[/tex]
[tex] = \displaystyle{ \frac{62 + 28 - 71}{12} }[/tex]
[tex]\displaystyle{ = \frac{90 - 71}{12} }[/tex]
[tex]\displaystyle{ = \frac{19}{12} }[/tex]
Convert the improper fractions into mixed fraction:-[tex]\displaystyle{1 \frac{7}{12} }[/tex]
[tex] \quad\hookrightarrow\quad \sf {\dfrac{19}{12}\: or \: 1\dfrac{7}{12} }[/tex]
Ⲋⲟⳑⳙⲧⳕⲟⲛ :We will solve the given mixed fraction in 2 steps :
Converting into improper fraction[tex] \implies\quad \tt {5\dfrac{1}{6}+2\dfrac{1}{3}-5\dfrac{11}{12} }[/tex]
[tex] \implies\quad \tt { \dfrac{(6\times 5)+1}{6}+\dfrac{(3\times 2)+1}{3}-\dfrac{(12\times 5)+11}{12}}[/tex]
[tex] \implies\quad \tt { \dfrac{30+1}{6}+\dfrac{6+1}{3}-\dfrac{60+11}{12}}[/tex]
[tex] \implies\quad \tt { \dfrac{31}{6}+\dfrac{7}{3}-\dfrac{71}{12}}[/tex]
Taking L.C.M[tex] \implies\quad \tt { \dfrac{(2\times31)+(4\times 7)-(1\times 71)}{12} }[/tex]
[tex] \implies\quad \tt { \dfrac{62+28-71}{12}}[/tex]
[tex] \implies\quad \tt { \dfrac{90-71}{12}}[/tex]
[tex] \implies\quad \tt {\dfrac{19}{12} }[/tex]
[tex] \implies\quad\underline{\underline {\pmb{\tt {1\dfrac{7}{12} }}}}[/tex]
Simplify the expression:
7g+1x+3t
Answer:
7g+3t+x
Step-by-step explanation:
You really don't have to do anything to this equation because each number in this equation has a variable, but since 1x is just x you can remove the 1 and you new equation becomes:
7g+3t+x
Answer:
7g+x+3t
Step-by-step explanation:
All you do is remove the 1 because x and 1 are the same
Need help don’t know how to solve for x
Answer:
x=15
Step-by-step explanation:
They are VERTICLE ANGLES meaning 125degrees = to the equation on the right.
(5x+30)=125
5x=85
x=15
i need help please it's math
Answer:
QP = 29
Step-by-step explanation:
[tex]let \: QP = x \\ 31 \times 31 + 31x = 43 {}^{3} \\ 961 + 31x = 1849 \\31x = 1849 - 961 \\ 31x = 888 \\ x = \frac{888}{31} \\ x= 28.64516129032258 \\ approx \: \: x=29[/tex]
Qp = 29
William buys two bags of peaches and three bags of apricots for $17. Sylvla buys four bags of peaches and two bags of apricots for $22 from the
same store. What is the cost of one bag of peaches?
Answer:
4
Step-by-step explanation:
elimination method2p+3a=174p+2a=22multiply equation [1] by 4 and equation [2] by 2
8p+12a=688p+4a=44 0+8a=24divide both sides by 8
a=3
substitute 3 for a in equation 2 above
4p+[2*3]=224p+6=22take 6 to the other side of the equation
NBthe symbol changes
4p=22-64p=18divide both sides by 4
p=4
True or false: (a) If A2 is defined then A is necessarily square. (b) If AB and BA are defined then A and Bare square. (c) If AB and BA are defined then AB and BA are square. (d) If AB
(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.
(b) False. As an example, consider the matrices
[tex]A_{3\times2} = \begin{bmatrix}1&0\\0&1\\0&0\end{bmatrix}[/tex]
[tex]B_{2\times3} = \begin{bmatrix}-1&0&1\\0&0&1\end{bmatrix}[/tex]
Then both AB and BA are defined, with
[tex]AB_{3\times3} = \begin{bmatrix}-1&0&1\\0&0&1\\0&0&0\end{bmatrix}[/tex]
[tex]BA_{2\times2} = \begin{bmatrix}-1&0\\0&0\end{bmatrix}[/tex]
In general, you can multiply any m×n by any n×m matrix.
(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.