Which number line represents the expression 7 + (−3) + (−2) +4?
The answer would be 6. The number line which shows you the number 6 or any solution for 6 would be your answer.
at an amusement park, 360 visitors rode the roller coaster in 3 hours. write and solve a proportion to find the number of visitors at this rate who will ride the roller coaster in 7 hours
Answer:
840 visitors
Step-by-step explanation:
The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′(−1, 4) , Q′(−2, 2) , and R′(2, 1) .
Which statement correctly describes the relationship between △PQR and △P′Q′R′ ?
A) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
B) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
C) △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
D) △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′ .
ANSWER
The correct answer is option B
EXPLANATION
When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule
[tex](x,y)\rightarrow (-x,y)[/tex]
[tex]P(1,4)\rightarrow P'(-1,4)[/tex]
[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]
[tex]R(-2,1)\rightarrow R'(2,2)[/tex]
That is to say the x-coordinates are negated. Hence y-axis is the mirror line.
Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.
See graph in attachment.
Answer:
b
Step-by-step explanation:
The same four friends buy tickets for two shows on consecutive nights. They use a coupon for $5 off each ticket. They pay a total of $416 for 8 tickets. Write and solve an equation to find the original price of the tickets.
Answer:
Original price of the ticket was $57.
Step-by-step explanation:
Four friends buy tickets for two shows.
Let the price of a ticket was $c
Then cost of 4 tickets = $4c
They use a coupon to get the discount = $5 on each ticket
So total discount on 4 tickets = 4×5 = $20
Cost of the tickets after discount = 4c - 20
Cost of the tickets for two consecutive nights = 2(4c - 20)
If they paid total amount = $416 for 8 tickets
Then the equation will be 2(4c - 20) = 416
Now we can solve this equation to get the original price of the ticket.
2(4c - 20) = 416
4c - 20 = 208
4c = 208 + 20
4c = 228
c = [tex]\frac{228}{4}[/tex]
c = $57
Therefore, original price of a ticket was $57.
Answer:
57
Step-by-step explanation:
I did this earlier.
What is the value of x and y?
The 2 angles on the left need to equal 180:
3y +5 + 85 = 180
Combine like terms:
3y+90 = 180
Subtract 90 from each side:
3y = 90
Divide both sides by 3:
y = 90 /3
y = 30
Now solve the equation with y:
3(30) +5 = 90+5 = 95
Now the two equations also need to equal 180:
95 + 2x +1 = 180
Combine like terms:
2x + 96 = 180
Subtract 96 from each side:
2x = 84
Divide both sides by 2:
x = 84 /2
x = 42
X = 42, y = 30
The answer is the 3rd choice.
20 points- Help me please this is due today
You moved the decimal place, but didn't account for that in your exponent. It should no longer be 10.
The answer is 1.035*10¹¹
Mrs Blackwell gives each of her students two pencils how may pencils did she hand out
Answer:
The answer is 2 times x.
Step-by-step explanation:
X is the number of students. If each of the student received 2 pencils then you multiply 2 by the number of students.
find the mean, median, and mode of the data set round to the nearest tenth 15, 1 , 4, 4, 8, 7, 15, 4, 5
[tex]15,\ 1,\ 4,\ 4,\ 8,\ 7,\ 15,\ 4,\ 15,\ 4,\ 5\to\underbrace{1,\ 4,\ 4,\ 4,\ 4,\ 5,\ 7,\ 8,\ 15,\ 15,\ 15}_{11}\\\\mean=\dfrac{1+4+4+4+4+5+7+8+15+15+15}{11}=\dfrac{82}{11}\approx7.5\\\\median:1,\ 4,\ 4,\ 4,\ 4,\ \boxed{5},\ 7,\ 8,\ 15,\ 15,\ 15\\\\mode:1,\ \underbrace{4,\ 4,\ 4,\ 4}_{4},\ 5,\ 7,\ 8,\ 15,\ 15,\ 15[/tex]
Answer: mean = 7.5, median = 5, mode = 4Answer:
Mean = 7.5, median = 5, mode = 4
Step-by-step explanation:
Write a compound inequality that represents each situation. Graph your solution. all real numbers at least –6 and at most 3
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x-------> the set of numbers that represent the solution of the situation
we know that
The expression " At least [tex]-6[/tex] " represent the inequality
[tex]x\geq -6[/tex] -----> all real numbers greater than or equal to [tex]-6[/tex]
The expression " At most [tex]3[/tex] " represent the inequality
[tex]x\leq 3[/tex] -----> all real numbers less than or equal to [tex]3[/tex]
The solution of the situation is equal to the interval-------> [tex][-6,3][/tex]
see the attached figure
6 questions = 30 points someone please help me
For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area? (Use π = 3.14)
A)
343 in2
B)
548 in2
C)
728 in2
D)
923 in2
Use the Pythagorean Theorem to find the distance between points A and B.
A)
Sqr 11
B)
Sqr 41
C)
Sqr 54
D)
Sqr 61Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A)
Store #1
B)
Store #2
C)
The stores bring in the same amount of sales.
D)
This cannot be determined from the scatterplots.
43)
Which fraction is BETWEEN
5/12 and 5/11?
A)
11/23
B)
115/264
C)
25/264
D)
5/13
You select a marble at random and then put it back. If you do this 4 times, what is the best prediction for the number of times you will pick an orange marble?
A)
1
B)
2
C)
3
D)
4
Choose the correct rule for the graph shown.
A)
y = 2x
B)
y = 3x + 1
C)
y = 2x + 1
D)
y = 2x - 1
Which rational number falls between
7/8 and 6/9?
A)
15/31
B)
3/17
C)
53/72
D)
7/12
Answer:
1)D
2)D
3)A
4)B
5)Cannot Answer - No data
6)C
7)C
6 Questions answered for 30 points.
Step-by-step explanation:
Answer for the 1st Question,
Area of a cylinder can be calculated by,
Area of the cylindrical part = [tex]2\pi rL[/tex]
Area of the parts that cover the open parts of cylinder = [tex]2\pi r^2[/tex]
Therefor Total are of the cylinder = [tex]2\pi rL+2\pi r^2[/tex]
Area of the total cylinder = [tex]2*3.14*6.8*14.2+2*3.14*6.8^2[/tex]
=[tex]896.784[/tex]
Therefor best estimate will be D) 923 in^2
Answer for the 2nd Question,
ABC is a triangle.
By Pythagorean theorem it says,
[tex](AC)^2+(CB)^2=(AB)^2[/tex]
The distance from A to C = 6
The distance from C to B = 5
[tex](AC)^2=6^2=36[/tex]
[tex](CB)^2=5^2=25[/tex]
[tex](AC)^2+(CB)^2=(AB)^2=36+25=61[/tex]
Therefor [tex](AB)^2=61\\(AB)=\sqrt{61}[/tex]
Therefor Answer is D) Sqr 61
Answer to Question 3
To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)
Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.
Area of the Store 1 =[tex]\frac{1}{2} *(110+40)*110=8250[/tex]
Area of the Store 2=[tex]\frac{1}{2} *110*80=4400[/tex]
Therefore Revenue from Store 1 = $8250
Revenue from Store 2 = $4400
Answer is A) Store 1 has more sales revenue
Answer for Question 4
[tex]\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545[/tex]
You can straight away discard answer D because it is less than both 5/12 and 5/11.
Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)
[tex]\frac{11}{23} =0.4782[/tex], therefor this is not in between those two numbers.
Then it has to be [tex]\frac{115}{264} =0.4356[/tex]
Answer is B)
Answer for question 6
The equation of a straight line is of the form [tex]y=mx+c[/tex]
here m is the gradient and c is the intercept.
Find the intercept(c) by finding the y value when x value is 0, here it is +1.
Gradient (m) of the graph can be found by,
[tex]\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2[/tex]
Therefor the equation of the graph is,
[tex]y=2x+1[/tex]
Answer is C
Answer for question 7
[tex]\frac{7}{8} =0.875[/tex]
[tex]\frac{6}{9} =0.67[/tex]
We can discard answer A because the value is close to 0.5
We can discard answer B because 3/17 is a very small value (0.17)
[tex]\frac{53}{72} =0.73[/tex], This falls between the above 2 numbers.
Therefor answer is C
Why can a problem with extra information be difficult to solve?
2 biscuits cost 80p how much do 12 cost
Well to find how much 12 biscuits cost, you must first find how much each biscuit costs. Therefore, you divide 80p by 2, and get 40p. Then multiply 40p by 12 (the total amount of biscuit). You get the answer, which is 480p.
(2^n)^1/2=64 find value of n
Hello, I can help.
The value of N- 7
Here is how i got the answer.
1: Multiply both sides by 2
2: Simplify 64*2 to 128
3: convert both sides; 2^n =2^7
4:divide 2 on both sides; n=7
Hope this helps.
Which operation would be completed second in the following expression?
7 2 - 3 + 9 × 8 ÷ 2
A. simplify the exponent
B. subtract
C. divide
D. multiply
What is the least common denominator for the fractions 16 and 34 ?
Answer:
The answer is 4
Step-by-step explanation:
The answer is 4 because if you divide them both by 4 they come out even and they cant be divider by anything less. Therefore the common denominator is 4.
Answer:
12
Step-by-step explanation:
if you said 4 its not answer
What is the unit ratio and how
Solve for sss.
0.5s+1=7+4.5s
The value of s from the given equation is -1.5.
The given equation is 0.5s+1=7+4.5s.
We solve the given equation for s.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Now, the given equation can be solved as follows:
0.5s+1=7+4.5s
⇒0.5s-4.5s=7-1
⇒-4s=6
⇒s=-6/4
⇒s=-1.5
Therefore, the value of s is -1.5.
To learn more about an equation visit:
brainly.com/question/22277991.
#SPJ6
Please ive posted this like 5 times help
Let s = Car B's speed
Car B is 15 mph faster than A, therefore
(s - 15) = Car A's speed
Write a distance equation; dist = speed * time
2(s-15) = 1.5s
2s - 30 = 1.5s
2s - 1.5s = 30
.5s = 30
s = 60 mph is car B's speed
Confirm this find the distances, they should be equal
2 (60-15) = 90
1.5 (60) = 90
solve by completing the square: x^2-10x+8=0
[tex]x^2-10x+8=0\\\\x^2-10x+25-17=0\\\\(x-5)^2=17\\\\x-5=\sqrt{17} \vee x-5=-\sqrt{17}\\\\x=5+\sqrt{17} \vee x=5-\sqrt{17}[/tex]
Answer:
(x – 5)2 = 17
Step-by-step explanation:
edg
in mrs. middleton's math class, there are 7 more boys than girls. if there are 29 total students in the class, how many boys are there?
lcm and gcf of 27 and 45
What’s 5e+|-12+f|+g e=-3 f=4 g=-1
Answer:
-8
Step-by-step explanation:
5 times -3 is -15
absolute value of -12 plus 4 is 8
-15 plus 8 plus -1 is -8
What is the length of leg y of the right triangle?
A right triangle with hypotenuse 85 and legs 84 and y
Solution :
Given a right triangle with hypotenuse 85 and legs 84 and y.
Use Pythagoras theorem, to find the length of the leg y of the right triangle.
According to Pythagoras theorem,
[tex](hypotenuse)^{2} = leg_{1}^{2}+leg_{2}^{2}[/tex]
As given in the question,
[tex]hypotenuse = 85 \\\\leg_{1} = 84\\\\leg_{2} = y[/tex]
Put these values,
[tex]\Rightarrow 85^{2}=84^{2} +y^{2} \\\\\Rightarrow y^{2}=85^{2}-84^{2}\\\\\Rightarrow y =\sqrt{85^{2}-84^{2}} \\\\\Rightarrow y =\sqrt{169}\\\\\Rightarrow y =13[/tex]
Hence, the length of leg y =13.
Answer:
The length of leg y=13
Step-by-step explanation:
Prove that the sum of the length of the diagonals of a quadrilateral is less than the perimeter, but greater than the half of the perimeter of this quadrilateral.
and
Prove that the sum of the lengths of the three medians in a triangle is smaller than the perimeter of the triangle. (The statement is true for the altitudes as well.)
Answer: Consider a quadrilateral ABCD such that AC ans BD are the two diagonals of ABCD.
With reference to figure 1 .
In triangle ABC and triangle ADC ,by using triangle inequality we have
AB +BC > AC .......(1)
and AD + CD >AC......(2)
adding (1) and (2) we have
AB+ BC+CD+AD>2AC....(3)
Similarly we get for diagonal BD
AB+BC+CD+AD>2BD....(4)
Adding (3) and (4) we get
2(AB+BC+CD+AD)> 2(AC+BD)
⇒(AB+BC+CD+AD)> AC+BD where (AB+BC+CD+AD) = perimeter of quadrilateral.
Hence, the sum of the length of the diagonals of a quadrilateral is less than the perimeter.
Now 2 diagonal divides quadrilateral into 4 quadrilaterals
Therefore AO+OD>AD
OD+OC>CD
OC+OB>BC
And OA+OB>AB
Adding all these conclude that
2(AC+BD)>AB+BC+CD+AD
⇒AC+BD>1/2(AB+BC+CD+AD) where (AB+BC+CD+AD) = perimeter of quadrilateral.
Hence,the sum of the length of the diagonals is greater than the half of the perimeter of this quadrilateral.
Now consider a triangle ABC as given in figure (2)
As we now,the sum of two sides of a triangle is greater than twice the median bisecting the third side.
Therefore AB+BC>2BE
Similarly,
AB+AC>2AD
BC+AC>2CF
By adding all these we get ,
2(AB+BC+CA)>2(AD+CF)
⇒AB+BC+CA>AD+CF
Hence, the sum of the lengths of the three medians in a triangle is smaller than the perimeter of the triangle.
The total height of all three of Thumbelina’s sisters is 60 cm. If the heights of the three sisters are in the ratio 4:3:5, find the height of the shortest sister.
Answer: 15 cm
Step-by-step explanation:
Given : The total height of all three of Thumbelina’s sisters is 60 cm.
The heights of the three sisters are in the ratio 4:3:5 .
Let the heights of the three sisters are 4x , 3x and 5x.
According to the question , we have the following equation :-
[tex]4x+3x+5x=60\\\\\Rightarrow\ 12x=60\\\\\Rightarrow\ x=\dfrac{60}{12}=5[/tex]
Now, the height of the shortest sister will be :-
[tex]3x=3(5)=15\ cm[/tex]
Hence, the height of the shortest sister = 15 cm
Adding and subtracting like terms
How do I solve w-w*2+-2w*2
Answer:
See two different cases, below:
Step-by-step explanation:
You cannot "solve" w-w*2+-2w*2, because this is not an equation. Rather, you want to simplify w-w*2+-2w*2 by combining like terms. You have w - 2w - 4w, or -5 w.
If, however, you meant "exponentiation" by " * " then you have w^1 - w^2 - 2w^2, which in turn equals w - 3w^2, or, in descending order by powers of w, -3w^2 + W.
What is the exact circumference of a circle with a diameter of 43 cm in terms of pi?
So the corcumference is equal to the diameter tiems pi.
Youre given the diameter, so just multiply it by pi.
The answer is 43pi.
The circumference of a circle with a diameter of 43 cm can be calculated using the formula C = πd. Substituting 43 for d, the exact circumference in terms of pi is 43π cm.
Explanation:The circumference of a circle is determined by the formula C = πd, where C is the circumference, d is the diameter of the circle, and π (Pi) is a mathematical constant whose approximate value is 3.14. If we plug the given diameter of 43 cm into the formula, we get C = π * 43. Thus, the exact circumference in terms of pi is 43π cm.
Learn more about Circumference of a Circle here:https://brainly.com/question/31844715
#SPJ11
Please help me :(( 35 POINTS!!!
What is the solution to the inequality? Show work!
-2/3 (2x - 1/2)<= 1/5x - 1
Mr. Davies opened a new retail store. During the first week, 360 customers visited the store. During the second week, 300 customers visited the store. What is the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week?
the answer is 16.7 because you need to do 60/360
The answer is 16.67%
Explanation:
Number of customers who visited in the first week = 360
Number of customers who visited in the second week = 300
Number of customers decreased in the second week =
[tex]360-300=60[/tex]
So, the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week will be = [tex]\frac{60}{360}*100 =16.67[/tex]
Five years ago, Jay borrowed $1500 from his mother. He agreed to pay $150 in interest. What is the simple annual interest rate for this loan?
Answer:
It would be 2%
Step-by-step explanation:
Hope this helps! :D
The simple annual interest rate for this loan will be 2%.
What is the definition of simple interest?Simple interest is extra money paid by the person borrowing the money. The formula for the simple interest is;
[tex]\rm SI = \frac{P \times R \times T}{100}[/tex]
Given data;
P(Principal) =$1500
R(Rate)=?
T)TIme)=5year
SI(Simple interest)=$ 150
The simple interest is calculated as ;
[tex]\rm SI = \frac{P \times R \times T}{100} \\\\ 150 = \frac{1500 \times R \times 5 }{100} \\\\ R=2 \%[/tex]
Hence, the simple annual interest rate for this loan will be 2%.
To learn more about simple interests, refer to;
https://brainly.com/question/14031892
#SPJ2