Answer:
The numbers are 37, 39 and 41.
Step-by-step explanation:
Let the smallest number be [tex]x\\[/tex].
Then the other numbers will be [tex]x+2, x+4[/tex] (as they are consecutive odd numbers, their difference will be 2).
As per the given statement:
LHS(Left Hand Side) : Sum of five times the smaller number and twice the larger number.
i.e. five times the smaller number = [tex]5\times x[/tex]
twice the larger number = [tex]2 \times (x+4)[/tex]
Their sum:
The Left Hand Side becomes:
[tex]5x+2(x+4)[/tex]
RHS(Right Hand Side):
33 more than six times the median number:
i.e. [tex]6\times(x+2) +33[/tex]
Equating LHS and RHS:
[tex]5x+2(x+4) = 6x+12 +33\\\Rightarrow 7x+8=6x+47\\\Rightarrow \bold{x =37}[/tex]
Therefore, the numbers are 37, 39 and 41.
Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.
This question is incomplete, the complete question is;
PROBLEM SOLVING WITH PERCENTS: You are planning a wedding reception for 75 guests that will take place in exactly 10 months. There are two different sites that you are contemplating using, with the stipulations on payments as described below. Determine the TOTAL cost of renting each location.
Rental of space = $68 per guest; Down payment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.
Answer: Total Cost of Renting = $5312.29
Step-by-step explanation:
Given that;
Rental space = $68 per guest, down payment = 25%, 7.4% interest payment on the balance.
Total Cost of Renting = Down Payment + Remaining payment
Total Cost of Renting = $68 × Guests × 25% + ($68 × Guest - Down payment) × (1 + Interest *9/12)
Total Cost of Renting = $68 × 75 × 25% + ($68 × 75 - Down payment) × (1 + 7.40% × 9/12)
Total Cost of Renting = $1275 + ($5100 - 1273) × (1.0555)
Total Cost of Renting = $1275 + 4037.29
Total Cost of Renting = $5312.29
Please help me answer this question! It’s in the picture!
Step-by-step explanation:
We can prove this by using similar triangles. We know that angle ABE and ACD are SIMILAR(we know that by the sign in between them).Therefore, we also know that CDA and BEA are similar, and EAB and DAC are similar. Since all the angles are similar, we also know that the side lengths are equal in proportion. AB/AE is equal to AC/AD. When assigned values, that would create a proportion that is equal since the smaller triangle is similar to the bigger one. If you want to create a proof, break each statement into its own section.
Solve the system of linear equations in two variables by elimination or substitution.
y=1 + x
2x+y=-2
Answer: x=-1, y=0
Step-by-step explanation:
y=1+x
2x+y=-2
-----------------
#1 Elimination #2 Substitution
y=1+x y=1+x
2x+y=-2 2x+y=-2
---------------
-x+y=1 2x+(1+x)=-2
2x+y=-2 2x+1+x=-2
--------------- 3x+1=-2
-2x+2y=2 3x=-3
2x+y=-2 x=-1, y=0
--------------
3y=0
------------
y=0, x=-1
Hope this helps!! :)
Please let me know if you have any question
plz give me correct answer.....correct answer will be marked BRAINLIEST and be followed...
Answer:
a+b+c+d+e+f=540.
Angles in a triangle=180.
3 triangles=180×3=540.....
Define a variable, write an equation, and solve the problem. Adults' tickets to a play cost $5 and students' tickets
cost $2. If 295 tickets were sold and a total of $950 was collected, how many students' tickets were sold?
Answer:
175
Step-by-step explanation:
Let A be the number of adult tickets and S be the student's tickets
{A + S = 295 or S = 295 - A
{5A + 2S = 950
5A + 2(295 - A) = 950
5A + 590 - 2A = 950
3A = 360
A = 120
S = 295 - 120 = 175
implify the expression 10+54/4^2 using PEMDAS. Round to the thousandths place (three places past the decimal)
Answer: 13.375
Step-by-step explanation:
PEDMAS is a sequence of following operations:
Parenthesis, exponents, multiplication, division, addition, subtraction.
The given expression: [tex]10+\dfrac{54}{4^2}[/tex]
According to Pedmas , the first operation we need to simplify is " exponents"
[tex]10+\dfrac{54}{4^2}=10+\dfrac{54}{16}\\\\=10+3.375\ \ \ [\dfrac{54}{16}=3.375]\\\\= 13.375[/tex]
Hence, the simplified answer is 13.375 .
Answer:
16
Step-by-step explanation:
MONEY Mrs. Rockwell lost money on
an investment at a rate of $4 per day.
Describe the change in her investment
after two weeks.
Answer:
the answer is $56
Step-by-step explanation:
2 weeks = 14 days
14 (days) x $4 (per day) = 56
the change over 2 weeks is $56
Step-by-step explanation:2 weeks = 14 days
14 (days) x $4 (per day) = 56
ANSWER: $56
A solid cubiod measures 7cm, 5cm,3cm. (a) Calculate the total surface area of the cubiod. (b) A cube has the same volume as the cubiod. Calculate the length of an edge of this cube
Answer:
Te total surface area (TSA) of the cuboid is the sum of the area of its 6 faces
if the cuboid has width(w)=7 cm, Height (h)=3cm., length(h)=5cm
A=lw=5*7=35 cm²
A2=hw=3*7=21
A3=lh=5*3=15
TSA=2(lw+hw+lh)
TSA=2(35+21+15)
TSA=2(71)=142cm²
volume of the cubiod=l*w*h
V=lhw
V=7*5*3= 105 cm³
the length of an edge of this cube:
since it is a cube then all sides are equal l=w=h
√105= 10.247 ( rounded to the nearest hundredth)
the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other
Answer:
the sum of two rational number is minus 4 by know if one of them is 13 by 6 them find the other
Step-by-step explanation:
let the second rational no. be x
then a/q,
13/6 + x = -4/9
x = -4/9 - 13/6
x = (-16 - 78)/36
x = - 94/36 or -47/18
x = -2.61111
Four mathematicians have the following conversation:
Alice: I am insane.
Bob: I am pure.
Charlie: I am applied.
Dorothy: I am sane.
Alice: Charlie is pure.
Bob: Dorothy is insane.
Charlie: Bob is applied.
Dorothy: Charlie is sane.
You are also given that:
● Pure mathematicians tell the truth about their beliefs.
● Applied mathematicians lie about their beliefs.
● Sane mathematicians beliefs are correct.
● Insane mathematicians beliefs are incorrect.
Describe the four mathematicians.
Answer: plz mark as brainliest
Step-by-step explanation:The table below shows the net effect of a person’s mental state and occupation on his or her truth telling.
Suppose that Dorothy is telling the truth. Then she is sane (and hence a pure mathematician) and Charlie is sane. Bob says that Charlie is insane, so Bob is not telling the truth. Since he says he’s pure, he’s actually applied and hence Charlie is telling the truth. But then he’s applied and sane applied mathematicians do not tell the truth. This is a contradiction.
Therefore, Dorothy is not telling the truth. Thus, both Charlie and Dorothy are insane (hence Dorothy is pure). Consequently, Bob is telling the truth. Therefore Bob is pure (and sane, since he is a truth teller). Since Charlie says that Bob is applied, he is not telling the truth. Since we know that he is insane, he must be pure.
Since Alice says that Charlie is pure, she is telling the truth. Therefore she is insane and consequently applied.
In summary:
Alice is an insane applied mathematician.
Bob is a sane pure mathematician.
Charlie is an insane pure mathematician.
Dorothy is an insane pure mathematician.
Alice: Alice claims to be insane. If she is telling the truth, then her belief is incorrect, and she is, in fact, sane.
What is a mathematician?Mathematicians and statisticians solve problems in industry, academia, and government by using formulas and data.
Alice: Alice claims that she is insane. If she's telling the truth, her belief is incorrect, and she's perfectly normal. Alice is thus either pure or applied.
Bob: Bob declares himself to be pure. Bob's belief is correct, and he is indeed pure, because pure mathematicians tell the truth.
Charlie claims to be applied, but Alice claims Charlie is pure. Alice's claim about Charlie is true because applied mathematicians lie, and Charlie is actually pure.
Dorothy: Dorothy asserts that she is sane. Dorothy's belief is correct, and she is indeed sane, because the beliefs of sane mathematicians are correct.
Therefore, the four mathematicians are Alice (either pure or applied), Bob (pure), Charlie (pure), and Dorothy (sane).
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Which transformation maps the pre-image to the image? A. dilation B. stretch C. reflection D. rotation
Answer:
the answer is b. stretch.
Step-by-step explanation:
the side measure 4 is the same for the image as it is for the pre-image. the side measure 8 on the pre-image is 6 for the image. when only one measure changes its a stretch.
The figures' transformation maps the pre-image to the image is stretch .
What is pre-image to the image?The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
According to question
Length of 1st figure = 8
Width of 1st figure = 4
Length of 2nd figure = 6
Width of 2nd figure = 4
as we can conclude that only length is change not breath
that means it is stretch .
Hence, Figures' transformation maps is stretch .
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hello I need help solving combining like terms
-7x+9x
-5-8n-3
1+9v-5+4v
Answer:
1. 2x
2. -8n - 8
3. 13v - 4
Step-by-step explanation:
1. Put them nto standard form, it makes adding and subtracting easier
[tex]9x - 7x\\\\-8n - 5 - 3\\ 9v + 4v - 5 + 1[/tex]
The following are the means and standard deviations of some well-known standardized tests, referred to as Test A, Test B, and Test C. All three yield normal distributions.
Test Mean Standard deviation
Test A 500 100
Test B 150 8
Test C 70 15
Required:
a. A score of 450 on Test A corresponds to what score on Test B?
b. A score of 625 on Test A corresponds to what score on Test C?
Answer:
(a) A score of 450 on Test A corresponds to a score of 146 on Test B.
(b) A score of 625 on Test A corresponds to a score of 88.75 on Test C.
Step-by-step explanation:
We are given the means and standard deviations of some well-known standardized tests referred to as Test A, Test B, and Test C. All three yield normal distributions.
Test Mean Standard deviation
Test A 500 100
Test B 150 8
Test C 70 15
So, [tex]\mu_A[/tex] = 500 and [tex]\sigma_A[/tex] = 100
[tex]\mu_B[/tex] = 150 and [tex]\sigma_B[/tex] = 8
[tex]\mu_C[/tex] = 70 and [tex]\sigma_C[/tex] = 15
(a) We have to find a score of 450 on Test A corresponds to what score on Test B.
For this, firstly we will find the z-score for a score on Test A and then equate with that of Test B.
z-score of 450 on test A = [tex]\frac{X_A-\mu_A}{\sigma_A}[/tex]
= [tex]\frac{450-500}{100}[/tex] = -0.5
So, this z-score corresponds to the score on test B, i.e;
z-score on test B = [tex]\frac{X_B-\mu_B}{\sigma_B}[/tex]
-0.5 = [tex]\frac{X_B-150}{8}[/tex]
[tex]X_B= 150-(0.5 \times 8)[/tex]
= 150 - 4 = 146
Hence, a score of 450 on Test A corresponds to a score of 146 on Test B.
(b) We have to find a score of 625 on Test A corresponds to what score on Test C.
For this, firstly we will find the z-score for a score on Test A and then equate with that of Test C.
z-score of 625 on test A = [tex]\frac{X_A-\mu_A}{\sigma_A}[/tex]
= [tex]\frac{625-500}{100}[/tex] = 1.25
So, this z-score corresponds to the score on test C, i.e;
z-score on test C = [tex]\frac{X_C-\mu_C}{\sigma_C}[/tex]
1.25 = [tex]\frac{X_C-70}{15}[/tex]
[tex]X_C= 70+(1.25 \times 15)[/tex]
= 70 + 18.75 = 88.75
Hence, a score of 625 on Test A corresponds to a score of 88.75 on Test C.
The area of the top face of a cube is 9 square centimerers. Use 9 of these cubes to make a rectangular prism. What is the volome of the rectangular prism?
Answer:
243 cm³
Step-by-step explanation:
A cube has the same measure in length, width and height. So, we know that the area of the top face of a cube is 9 square centimeters, this means that
Length x width = 9 square centimeters
But, since length and width are the same, we have that they are equal to [tex]\sqrt{9} =3[/tex] cms (since 3² = 9).
Thus, the volume of each cube is 3³ = 27 cm³
We are going to use 9 of these cubes to make a rectangular prism, therefore, the volume of this prism is going to be 9 times the volume of each cube.
Volume of prism = 9 (27) = 243 cm³
Answer:
243 cm³
Step-by-step explanation:
Hope this helps
Breanna has $150 and she needs to save at least $560 for spring break trip if she can save $45 per week how long will it take her to save enough money let W equals weeks saving money right and in quality to
Answer: It will take her more than 9 weeks.
Step-by-step explanation:
If she already has $150 that will be constant and if she can save $45 per week the we will have the expression 45w where w is the number of weeks.
Together it will be 150 + 45w
Now the money has to be at least $560 so it will be
150 + 45w ≥ 560 Now solve for w
-150 -150
45w ≥ 410
w ≥ 9.1
Which means it will take 10 or more weeks t
R+(-8)=10 how do I solve this equation.
Answer:
R = 18
Step-by-step explanation:
Add 8 to each side, so it now looks like this: R = 18Graph of Parent Functions
Answer:
A parent function is the simplest function of a family of functions. of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II.
Hope it helped u if yes mark me BRAINLIEST pzllzllzl plzz plzzz
Tysmm
Answer:
d. Absolute value.
To remember the general shape of an absolute value graph, think about the shape of the "v" in absolute value.
Please explain the steps or this equation 3+p=8
Answer:
5
Step-by-step explanation:
We can subtract both sides of the equation by 3, getting 3 + p - 3 = 8 - 3.
Then we can evaluate, getting p = 8 - 3 = 5.
Answer: 5
Ok, this is just simple math problems think of it like this....
3+p=8 ➡ rearrange the equation
p= 8 - 3 ➡ this is because p has to be added to 3 to make 8
p= 5
Please help. Will mark brainliest. Question 1 & 2:
Answer:
see below
Step-by-step explanation:
f(x) when x =10
The part that applies when x=10 is x^2 +3
f(10) = 10^2 +3
= 100+3
= 103
f(x) when x =-10
The part that applies when x=-10 is none
There is no part that applies ins -10 < -3
We cannot find a solution since x is in any defined region
On a math test, 30 students earned a B. This number is exactly 40% of the total number of students in the class. How many students are in the class
Answer:
75 students
Step-by-step explanation:
divide by .4
Please please help me please
A group of friends were working on a student film that had a budget of $800. They used 75% of their budget on costumes. How much money did they spend on costumes?
Answer:
They spent $600 on costumes.
Step-by-step explanation:
10% = $800 ÷ 10 = $80
20% = $80 x 2 = $160
50% = $800 ÷ 2 = $400
5% = $80 ÷ 2 = $40
400 + 160 + 40 = $600
Hope this helps!
Answer:
budget=$800
used money percent=75%
Now,
spend money
=75×800/100
=75×8
=$600
Solve this linear equation
a+b=8
a-b=4
Answer:
a = 12 b = -4
Step-by-step explanation:
To solve this equation it would be easiest to use the elimination method
a + b = 8
a - b = 4
a = 12
Now all we have to do is substitute 12 for a in any equation. For this I will use the first one.
12 + b = 8
Lastly subtract 12 from both sides
b = -4
Answer:
a = 6 , b = 2
Step-by-step explanation:
a+b - (a-b) = 2b
8 - 4 = 4
2b = 4
b = 4 ÷ 2
b = 2
When b = 2,
a+2 = 8
a = 8 - 2
a = 6
Which of the following is most likely the next step in the series?
Answer:
Option (c)
Step-by-step explanation:
From the diagram attached,
First circle has 4 points on its circumference. By joining these points we get a quadrilateral inside the circle.
Second circle has 3 on its circumference. By joining these points we get a triangle inscribed in the circle.
In 3rd circle points on the circumference have been reduced again to 2. By joining these points we get a straight line.
Following the same pattern in the 4th circle we will get a single point on the circumference of the circle.
Therefore, Option (c) will be the answer.
What is the distance between 7.65 and -4.18 on a number line
Answer:
11.83
Step-by-step explanation:
11.83 because you would add them to find distance and 7.65+4.18=11.83
The required distance on the number line between the points -4.18 and 7.65 is 11.83
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Given that, the distance between 7.65 and -4.18 on a number line
On the number line, -4.18 lies on the left of the zero, and 7.65 lies on the right, so the required distance would be the addition of the two points. So,
Distance = 7.65 - (-4.18)
Distance = 7.65+4.18
Distance = 11.83
Thus, the required distance on the number line between the points -1.85 and 7.36 is 9.21.
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16) 14x-9y= -25
7x-y=-30
Answer:
Step-by-step explanation:
14x - 9y = -25
-14x + 2y = 60
-7y = 35
y = -5
7x + 5 = - 30
7x = - 35
x = -5
(-5, -5)
Audrey sells closet organization systems. She is paid a commission of 5.14% of her first $1500.00 in sales during the week and 10% on all sales over $1500.00. What is her commission in a week during which she sells $7500.00 worth of closet organization systems?
Answer:
$827.1Step-by-step explanation:
We proceed to calculate the 5.14% of the $1500 in sales during the week
Hence she is paid 1500*(5.14/100)
= 1500*0.0514
= $77.1
And also she is paid 10% of sales over $1500 and she made sales of $7500
her commission is
= (10/100)*7500
=0.1*7500
= $750
Hence in all for the week her commission will be (if she sells $7500)
= 77.1+750
= $827.1
A parallelogram has sides lengths of 7 inches and 11 inches. Find the prerimeter
Answer: 36 in
Step-by-step explanation:
the formula for perimeter: 2(l+w)
length: 7
width/length: 11
2(l+w)
=2(7+11)
=2(18)
=36 in
Hope this helps!! :)
Please let me know if you have any question
Answer:
The perimeter of the parallelogram is 36 inches.
Step-by-step explanation:
The perimeter of a parallelogram is the addition of all of its side lengths. In a parallelogram, each side length is repeated twice. The perimeter can thus be represented by the following formula:
P = length + length + width + width
Now, we can substitute in the values that we are given in the problem.
P = 11 + 11 + 7 +7
Next, we simply have to add together the remaining values to simplify.
P = 36 inches
Therefore, the perimeter is 36 inches.
Hope this helps!
-3(-4b - 7n) use n = 8 and b = 2 show works plsssssss
Answer:
192
Step-by-step explanation:
-3(-4(2) - 7(8))
= -3(-8 - 56)
= -3(-64)
= 192
*Negative x negative = positive
if f(x) and f-1(x) are inverse functions of each other and f(x) = 2x + 5, what is f-1(8)?
Answer: 3/2
Step-by-step explanation: