Answer:
x = 19
Step-by-step explanation:
Since, both the triangles (small and large) given in the picture are similar,
Their corresponding sides will be in the same ratio.
By applying this property,
[tex]\frac{20}{36}= \frac{30}{30+(x+5)}[/tex]
[tex]\frac{5}{9}= \frac{30}{x+35}[/tex]
5(x + 35) = 9 × 30
5x + 175 = 270
5x = 270 - 175
5x = 95
x = [tex]\frac{95}{5}[/tex]
x = 19
Select the correct answer.
What is the LCM of the numbers 3, 6, and 9?
A.
9
B.
18
C.
36
D.
54
Answer:
D
Because you have to find out what they could all equal up to
Answer:
d
Step-by-step explanation:
What is the solution of 3sqrtx+8=-4
Answer:
No solution
Step-by-step explanation:
Please write this as 3 sqrt x + 8 = -4.
Note that if we try to isolate 3 sqrt x by subtracting 8 from both sides, we get 3 sqrt x = -12. There is no real solution; sqrt x can never be negative.
Find the slope of the line that passes through(9,36) (93,-10)?
Answer:
[tex]m = -\frac{23}{42}[/tex]
Step-by-step explanation:
here is the equation for slope (m):
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
where:
y₂ = y-coordinate of 2nd point = -10
y₁ = y-coordinate of 1st point = 36
x₂ = x-coordinate of 2nd point = 93
x₁ = x-coordinate of 1st point = 9
plug values into equation:
[tex]m =\frac{-10-36}{93-9} \\\\m = \frac{-46}{84} \\[/tex]
reduce the fraction:
[tex]m = -\frac{23}{42}[/tex]
i need help with this
Answer:
A and C are true
Step-by-step explanation:
Nick Sarah and Gavin share sweets in the ratio 2.33 Nick gets 28 sweets how many did Gavin get
Answer:
42
Step-by-step explanation:
hope this helps!;)
The scatter plot shows which type of correlation?
A. No correlation
B. Cant be determined
C. Negative correlation
D. Positive correlation
Answer:
negative correlation
Step-by-step explanation:
because it starts from the y axis
Solve 3 - x=-9
a. x=16
b.x=12
c.x=-6
d.x=12
Answer:
3 - x =-9
3+ 9 =x
x = 12
so, correct answer
x =12
HELPPP ITS QUESTION 17 BTW
Answer:
c
Step-by-step explanation:
Answer:
12n
Step-by-step explanation:
the graph of y=f(x) is shown on the grid
Answer:
Equation for M → g(x) = [tex]\frac{5}{4}x^{2} + 2[/tex]
Equation for N → h(x) = [tex]\frac{5}{4}(x+4)^2-1[/tex]
Step-by-step explanation:
Vertex of the graph of y = f(x) is (2, -1)
Therefore, equation of the function will be,
y = a(x - 2)² - 1
Since this graph passes through a point (0, 4),
4 = a(0 - 2)² - 1
4 = 4a - 1
a = [tex]\frac{5}{4}[/tex]
Hence, we get the equation of the function 'f' as,
f(x) = [tex]\frac{5}{4}x^{2} -1[/tex]
Now this graph has been shifted 3 unit up to get the new graph M
Equation for M will be,
g(x) = f(x) + 3
g(x) = [tex]\frac{5}{4}x^{2} - 1 + 3[/tex]
g(x) = [tex]\frac{5}{4}x^{2} + 2[/tex]
Further graph of function 'f' is shifted 4 units to the left then equation of the new function (N) will be,
h(x) = f(x + 4)
h(x) = [tex]\frac{5}{4}(x+4)^2-1[/tex]
The length of a rectangle is 11 centimeters less than six times its width. Its area is 21 square centimeters. Find the dimensions of the rectangle.
Answer:
The width is 3cm, and the length is 7cm.
Step-by-step explanation:
Let's call the length of the rectangle [tex]l[/tex], the width of the rectangle [tex]w[/tex], and the area of the rectangle [tex]A[/tex], and write down everything we know about them.
The length of the rectangle is 11 centimetres less than six times its width, so we know that [tex]l = 6w - 11[/tex].
We also know that [tex]A = 21[/tex]. But what exactly is the area of a rectangle? Well, it's the product of its length and width, i.e. [tex]A = l\times w[/tex].
Then we have two equations involving [tex]l[/tex] and [tex]w[/tex]:
[tex]l = 6w - 11[/tex], and [tex]l\times w = 21[/tex].
So how do we find [tex]l[/tex] and [tex]w[/tex]? Let's substitute our first equation into our second, like so:
[tex]l \times w = (6w - 11) \times w\\{}\hspace{0.8cm}= 6w^2 - 11w\\{}\hspace{0.8cm}= 21[/tex]
We can rearrange this new equation to get everything on the same side, so that we have a standard quadratic equation, like this:
[tex]6w^2 - 11w - 21 = 0[/tex].
We can use the quadratic formula for this. You should have seen this before:
[tex]w = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex],
where [tex]a,b,c[/tex] are the coefficients of our quadratic equation. Plugging the values in, we see
[tex]w = \frac{11\pm\sqrt{121+504}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm\sqrt{625}}{12}\\\\{}\hspace{0.25cm}=\frac{11\pm25}{12}[/tex].
With a little further cancellation, we can find our two possible values of [tex]w[/tex] are
[tex]w = \frac{36}{12} = 3[/tex] and [tex]w = \frac{-14}{12}[/tex].
Since [tex]w[/tex] is a width of a rectangle, it can't possibly be negative, and so it must be 3.
We can now plug in this value into our equation from earlier, namely [tex]l = 6w - 11[/tex]. We can see that
[tex]l = 6\times 3 - 11 = 18 - 11 = 7[/tex],
and so we get our answer, [tex]w = 3[/tex]cm, [tex]l = 7[/tex]cm.
We can prove that this is right by multiply 3 and 7 together, and seeing that we get 21, the area we expect.
What type of transformation of △ABC results in △DEF ?
Answer:
reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.
It's not rotation, because the shape has not been rotated, if so it would have been in a different position
It's not translation, because the shape didn't stay in the same format (facing one side).
So it must be reflection
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The equation that Passes through the points (-4,2) and (5,-3)
Answer:
m= -5/9
Step-by-step explanation:
m= y2-y1/ x2-x1
m= -3-2/ 5-(-4)
m= -3-2/ 5+4
m= -5/9
y= mx + b
(-4,2)
2= -5/9(-4) + b
2= 2.2+ b
-2.2 +2= b
-0.2= b
find the value of n the equation 1/2(n+4)=6
Answer:
n = 8
Step-by-step explanation:
1/2(n + 4) = 6
1/2 of n + 2 = 6
6 - 2 = 4
4 × 2 = 8
1/2 of 8 + 2 = 6
4 + 2 = 6
n = 8
AN algebraic expression for -8 subtracted from -x is
Answer:
-x-8
Step-by-step explanation:
hope this helps
Answer:
if it is -8 subtracted from -x then
-x-(-8)
if it is 8 subtracted from x then
x-8
There are 15 students on the chess team. Seven of the students are in the fourth grade.
Which shows the fraction of the team that is in the fourth grade?
A.
4
5
B.
7
15
O
C
8
15
OD. 15
7
Answer:
7/15 (B)
Step-by-step explanation:
7 fourth graders out of 15 total = 7/15
♂️♂️♂️help me plz I dont no 1+1
Answer:
The answer is 2
Step-by-step explanation:
Since the number 1 plus 1 is 2
50 points
Shanna received a small box from the mailman. What is a reasonable weight for the small box? A. 6 grams B. 6 pounds C. 16 millimeters D. 60 inches
Answer:
b is the answer brainliest please i need 1 more
Step-by-step explanation:
jayfeather friend me
Answer:
6 pounds
Step-by-step explanation:
6 grams is the weight of 2 paperclips, and 16 millimeters and 60 inches are used to measure volume, not weight.
hope it helps! :3
(5+5) + (5 + 6) + (5 + 7) + (5 + 8) + .... + (5 + 14) + (5 + 15)
(11 times 10) + what number?
A, 15
B, 50
C, 55
D, 99
Answer:
C: 55
Step-by-step explanation:
Rearrange the bracketed terms to:
(10 + 0) + (10 + 1) + (10 + 2) + ... + (10 + 10)
There are 11 brackets so we have (11 * 10) + (0 + 1 + 2 + ... + 10) =
(11 * 10) + 55
A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that [tex]p = 0.18[/tex]
You randomly select 15 students
This means that [tex]n = 15[/tex]
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]
[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]
[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3x - 6
2. 3x - 7
3. 2x - 6
4. 2x - 7
Calvin saved 1/4 of the price of the car he wanted to buy which fraction is 1/4 A 2/12
B 5/20
C 2/16
D 5/25
Answer:
1/4 = 5/20
Step-by-step explanation:
1/4 = 5/20
Answer:
Step-by-step explanation:
1/4 is equivalent only to B (5/20). To check this, try dividing 20 into 5 with a calculator; you should get 0.25 = 5/20
According Two data from the 2010 United States Census 83.7% of Americans lived in the metropolitan area suppose maria researcher takes a random sample of 125 Americans and find that 98 live in the Metropolitan area let P hat represent the sample proportion of Americans that live in a metropolitan area what are the mean and standard deviation of the sampling distribution of P hat provide your answer rounded to three decimal places
Answer:
Mean is 83.7%
And, the standard deviation is 0.033
Step-by-step explanation:
The computation of the mean and the standard deviation is as follows:
Let us assume the P be the sample proportion
Mean is 83.7%
And, the standard deviation is
[tex]= \sqrt{\frac{p(1-p)}{n} } \\\\=\sqrt{\frac{0.837(1-0.837)}{125} }[/tex]
= 0.033
Y=2+ square root of x-8 solve for x
Answer:
Step-by-step explanation:
y = 2√(x-8)
y² = 4(x-8) = 4x-32
4x = y²+32
x = 0.25y² +8
The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 250ft per hour. The tortoise takes 8hrs longer than the hare to finish.
a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answer:
Step-by-step explanation:
Part a identify the similar triangles in the above diagram
Answer:
it's a scalene triangle whose all sides are different
PLEASE HELP ITS REALLY URGENT
SOMEONE HELP ME SOLVE THis.
Answer:
shiiiii i dont no Nlgga
Step-by-step explanation:
zach read a book10 min every weekend for the first month 20min in 2nd month 40 min in third month and 80 min in 4th month
victoria read a book 35 everyweekend for first month 50 min second month 65 min third month 80 min 4 the month which method is used linear or exponential
Answer:
Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.
Step-by-step explanation:
60 POINTS + BRAINLIEST
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
why do the delete my answer
Probability of picking e
Answer:
The answer is B or 1/5/
Step-by-step explanation:
We know that it hold the letters A,B,C,D, and E. That makes it have 5 different letters in it. There is only one of each letter in the box too. This makes it have a 1/5 of a chance of picking the letter E.