Answers
Answer:
C and D, x = 5
Step-by-step explanation:
To solve this problem, you add 9.2 to both sides then divide both sides by 5.5. The Addition Property of Equality states that if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. This is the first step to solve the problem. The Division Property of Equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal. That is the second step to solve the problem. To solve the problem, add 9.2 to both sides, that gets us 5.5x = 27.5. Now, we divide both sides by 5.5. That gets us x = 5.
Related Questions
The two circles have different diameters in the ratio 5:3.
(A) Calculate the radius of circle B if circle A has a radius of 35mm
(B) Calculate the area of circle A giving your answer to the nearest cm squared.
Answers
Answer:
a) 21 mm
b) 39 cm^2
Step-by-step explanation:
a) The ratio of the diameter from A to B is 5:3
Let the diameter of B be x
If 35 is the radius of A, then its diameter is 35 * 2 = 70 mm
Thus;
5/3 = 70/x
5* x = 70 * 3
5x = 210
x = 210/5
x = 42 mm
So the radius of circle B will be 42/2 = 21 mm
b) The area of circle A
Mathematically we apply the area of a circle formula here
A = pi * r^2
A = 22/7 * 35 * 35
A = 3,850 mm^2
To convert this to cm^2, we will
need to divide by 100
That would be 3850/100 = 38.5 cm^2 = 39 cm^2
An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)
Answers
Answer:
[tex]Height = 30cm[/tex]
[tex]Length = 360cm[/tex]
Step-by-step explanation:
Given
Scale Measurement
[tex]Height = 2cm[/tex]
[tex]Length = 24cm[/tex]
Required
Determine the possible actual measurement
First, calculate the equivalent ratio.
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{24cm}{2cm}[/tex]
[tex]Ratio = 12[/tex]
To do this, we pick a scale factor.
Assume the scale factor is 15.
The actual measurement will be:
[tex]Height = 2cm * 15[/tex]
[tex]Height = 30cm[/tex]
[tex]Length = 24cm * 15[/tex]
[tex]Length = 360cm[/tex]
When the scale ratio is calculated, we have:
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{360cm}{30cm}[/tex]
[tex]Ratio = 12[/tex]
Note that both have the same equivalent ratios of 12.
So, whatever the scale ratio you use, the equivalent ratio will be the same
(-1/3) ÷ 27 PLS HELP OML
Answers
what's the answer step by step please
Answers
Number Lines
F is between E and G. EF= 9 and FG= 11. what is the length of EG?
Answers
Answer:
20
Step-by-step explanation:
EG = EF + FG
Its given in the question that -
• EF = 9
• FG = 11
So,
EG = 9 + 11 = 20
Simplify:
√36a^3b^4
A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3
Answers
Can you mark me BRAINLEST
A salesperson earns $450 per week plus 15% of her weekly sales. The
expression representing her earnings is 450 +0.15x. Which of the following
describes the sales necessary for the salesperson to earn at least $600 in
one week?
Answers
Answer:
If a sales person wants to earn $600 in 1 week they have to make $1000 dollar sale or a bunch of sales that can make $1000
Step-by-step explanation:
Because $600 - $450 gives you $150, and $150 is 15% of her sales to if we were to divide $150 by 0.15 ( 15% in decimal for ) we would get $1000 meaning 15% of 1000 is 150.
Hope this helps :)
8-2x=-3+1 solve the question
Answers
10=2x
X=10/2
X=5
1.5 x -3 4/5
multiply
Answers
Answer:
I'm pretty sure it's -5.7
Hi please help. i’ve been stuck on this for 5 minutes
Answers
What is 3 2/3 + 4 3/4 equal to
Answers
Answer:
7 2/3 is the answer but it is equal to 23/3.
Step-by-step explanation
23/3 is an improper fraction. I hope this helps you!
Which ordered pair is a solution of the equation?
(I will mark you brainliest if correct)
Answers
Answer:
Step-by-step explanation:
d
A cereal company is determining the nutritional information of a new recipe. They took a random sample of 20 servings of the cereal and measured
the number of calories in each serving. The number of calories in each serving are listed.
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
The box plot shown is a summary of the data. Move numbers to the spaces to label the values and complete the box plot.
143
180
not drawn to sale
145
150
151
160.5
160.7
165
166.5
177
Answers
Answer:
Minimum is 143, second whisker is 150, median is 160.5, 3rd quartile is 166.5, maximum is 180
Step-by-step explanation:
The first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
How does a boxplot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
For this case, the data is:
143, 145, 147, 150, 150, 152, 157, 159, 160, 160, 161, 163, 164, 165, 165, 168, 173, 175, 177, 180
It is already sorted. There are 20 values.
We have to find the limits of box and the mid line, which are the three quartiles.
Dividing 20 in 4 equal parts give size of 5
Thus, 5-5-5-5 groups will be made by the three quartiles of this data.
The fifth value is 150, and sixth is 152. Any number between 150 and 152 can be taken as the first quartile, as before it will lie 25% of values and 75% of the data after that value. By tradition, we take average of these two values, so its 151 as the first quartile of the considered data set.
In the similar way, the second quartile or median is mean of 10th and 11th value which evaluates to (160+161)/2 = 160.5
And, the third quartile is the mean of 15th and 16th value of this data set, which evaluates to (165+168)/2 = 166.5
Thus, the first box is fillled with first quartile 151, the second box is filled with second quartile 160.5, and the third box is filled with the third quartile 166.5
Learn more about quartiles here:
brainly.com/question/9260741
A team of 6 people is to be chosen from 8 men and 6 women. Find the number of different teams that may be chosen if
(a) there are no restrictions,
(b) there are a husband and wife who must not be seperated,
Answers
9514 1404 393
Answer:
a) 3003
b) 1419
Step-by-step explanation:
a) With no restrictions, the problem amounts to counting the number of combinations of 14 people taken 6 at a time. That is ...
14!/(6!(14-6)!) = 3003 . . . teams with no restrictions
__
b) With the restrictions, there are two cases:
(i) all 6 people are taken from the 12 that exclude the couple. That number of combinations is ...
12!/(6!(12-6)!) = 924
(ii) 4 people are taken from the 12 that exclude the couple, and the couple fills the last two team slots. That number is ...
12!/(4!(12-4)!) = 495
The sum of the counts of these two cases is ...
924 +495 = 1419 . . . teams with inseparable couple
Quadrilateral MNPQ has vertices M(0,6), N(4,4), P(6. – 1), and Q(2,0). Determine the coordinates of the vertices of the image of
the quadrilateral after the translation (x,y) → (x – d4, y +1).
Answers
Answer: M(-4,7)P(0,5)Q(-2,1)
Step-by-step explanation:
The translation is telling you to subtract each x value by 4 and add 1 to each y value.
pls hellpppp
The triangles below are similar find Y
Answers
Answer:
15Step-by-step explanation:
y = 15
The ratio of the corresponding sides of a similar triangle will be constant. Then the length of y will be 15 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
Then the ratio will be
22 / 10 = 33 / y = x / 12
From first two terms, we have
22/10 = 33/y
y = 15 units
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Which side lengths form a right triangle chose all that apply
Answers
Answer:
b
Step-by-step explanation:
only b is true
An 80% confidence interval is found to be (26, 38). What is the margin of
error?
A. 9.6
B. 12
C. 6
D. 4.8
Answers
Answer:
C : 6
Step-by-step explanation:
13 POINTS :( PLEASE HELP WILL MARK BRAINLIEST!!! ITS TIMED PLSSSSSSS
Answers
Answer:
4.8 and 0.6
Step-by-step explanation:
Which of the following is NOT an arithmetic sequence?
A. 4, 7, 10, 13, 16
B. 15, 9, 3, -3, -9
C. 2, 4, 8, 16, 32
D. 1, 2, 3, 4, 5
Answers
Answer:
C. 2, 4, 8, 16, 32
Step-by-step explanation:
C. 2, 4, 8, 16, 32 is NOT an arithmetic sequence. Because the difference between any two consecutive terms is not same.
plz help quick will give brainly
What is the difference between the opposite of 12 and the absolute value of 12? Use a number line to explain.
Answers
Answer:
Opposite 12= -12
Absolute value of 12: Just -12.
Step-by-step explanation:
I don't know.
What are the coordinates of point K after the translation (x, y) ---> (x + 2, y + 5)
Answers
What is the Prime Factorization
Answers
Answer:
for example the PF of 32 is 2*2*2*2*2 or 2^5
Step-by-step explanation:
Answer:
It means the decomposition of a composite number into a product of smaller integers. If these factors are further restricted to prime numbers, the process is called prime factorization.
PLEASEEEE HELPPPP 10th GRADE GEOMETRY!!!
Answers
2 = 30 degrees
l3 = 120 degrees
4 = 60 degrees
5= 60 degrees
6 = 60 degrees
7 = 30 degrees
8 = 120 degrees
9 = 30 degrees
Help me please I will give brainliest.
Karris ran eight eighteenths of a kilometer and cycled nine eighteenths kilometers in a race. How many kilometers was the race in all?
(A ) 1 kilometer
(B ) seventeen thirty sixths kilometer
(C ) one eighteenths kilometer
(D ) seventeen eighteenths kilometer
Answers
Answer:
D
Step-by-step explanation:
Race through running: 8/18th's
Race through cycling: 9/18th's
Total race covered is: 17/18th's
is 19, and 40 a prime or composite number
Answers
Answer:
19 is a prime number. 40 is a composite number
Step-by-step explanation:
40 can be divided by number other than 1 and its self
19 can only be divided by 1 and itself
Answer:
19 is composition 40 is prime number
Please help me vote brinlest
Answers
Answer:
14 > 6
Step-by-step explanation:
because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number
If a parabola opens down, what is true about its quadratic function
Answers
Answer:
The vertex is the minimum.
Step-by-step explanation:
the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
A runner's distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. One of the runner's times has a z-score of –1.76. What is the runner's time?
Answers
Answer:
The runner’s time is 3.18 minutes
Step-by-step explanation:
Mathematically;
z-score = (x-mean)/SD
In this question, we have the z-score but we want to calculate x
From the question
z-score = -1.76
mean = 4.5 minutes
SD = 0.75 minutes
x = ?
Substituting these values, we have that
-1.76 = (x-4.5)/0.75
0.75(-1.76) = x - 4.5
-1.32 = x - 4.5
x = 4.5 -1.32
x = 3.18
Answer:
3.18
Step-by-step explanation:
edg
50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you
Answers
Answer:
For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]
For the second: [tex]x=5[/tex]
Step-by-step explanation:
Answer:
x=17 for the first and x=5 for the second.
Step-by-step explanation:
First picture
Opposite angles of two intersecting lines are equal.
So the angle opposite the 100 degree angle on line c is also 100.
Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).
So 5x + 15 = 100
5x = 85
x = 17
Second picture
Adjacent angles add up to 180 degrees. So the angle opposite 52 is 180-52=128.
[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]