Answer:
$2.81
Step-by-step explanation:
1.25 is 100% of the price
125% + 100% = 225%
x = price by august
x = 225% (1.25)
225% = 2.25
2.25(1.25) = 2.8125 ≈ $2.81
Another way to see it:
[tex]\frac{1.25}{x}[/tex] = [tex]\frac{100}{225}[/tex]
225(1.25) / 100 = 2.8125
Answer:
11.25
Step-by-step explanation:
What is the slope of the line containing (-1,8) and (3, -12)?
Answer:
-5
Step-by-step explanation:
We can find the slope since we have two points
m = (y2-y1)/(x2-x1)
= (-12-8)/(3 - -1)
= (-12-8)/(3+1)
= -20/4
= -5
Answer:
-5
Step-by-step explanation:We can find the slope since we have two points
m = (y2-y1)/(x2-x1)
= (-12-8)/(3 - -1)
= (-12-8)/(3+1)
= -20/4
= -5
How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
Answer: approximately 10.4 feet
Step-by-step explanation:
provide the value of k:
(2x-1)(kx+1)=6x^2-x-1
Answer:
k = 3
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on both sides.
(2x - 1)(kx + 1) ← expand using FOIL
= 2kx² + 2x - kx - 1
Compare the coefficients of the x² term on both sides
2k = 6 ( divide both sides by 2 )
k = 3
Answer:
k= 6x-3/2x-1
Step-by-step explanation:
Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?
A. 50%
B. 25%
C. 75%
D. 100%
Answer:
50%
Step-by-step explanation:
3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.
Answer:
A.50%
Step-by-step explanation:
Question: Meghan has created a diagram of her city with her house, school, store, and gym identified. A. How far is it from the gym to the store? B. Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she walk? Round to 3 decimal places.
Answer:
a). Distance between the gym and store 9.25 m
b). Meghan will walk 5.637 m along the arc AB.
Step-by-step explanation:
a). Theorem of intersecting chords inside the circle,
When two chords intersect each other in a circle multiplication of their segments are equal.
3×7 = 4a
a = [tex]\frac{21}{4}[/tex]
a = 5.25 m
Distance between the gym and store = 4 + 5.25
= 9.25 m
b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]
[tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]
= [tex]\frac{646\pi }{360}[/tex]
= 5.6374 m
≈ 5.637 m
Therefore, Meghan will walk 5.637 m along the arc AB.
a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER
Answer:
64
Step-by-step explanation:
speed of cyclist = 10 miles per hour
given 1 mile is equal to 1.6 kilometres.
1*10 miles will be equal to 1.6*10 kilometres
thus , 10 mile is equal to 16 kilometres
using 16 km in place of 10 miles in 10 miles per hour
we have
speed of cyclist = 16 kilometres per hour
we know that distance = speed * time
speed is 16 kilometres per hour
time 4 hours
thus , distance = 16*4 kilometres= 64 kilometres.
cyclist will travel 64 kilometres in 4 hours.
Pleasee help I am being timed
Answer:
A: 33.5
B: 24.5
Step-by-step explanation:
Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.
Step-by-step explanation:
if ABC~DEF and the perimeter of ABC is 4 times greater than the
perimeter of DEF, what is the relationship between the areas of the
triangles?
Answer:
The area of triangle ABC is 16 times larger than the area of triangle DEF
Step-by-step explanation:
Step 1: Re-state the input
Given two triangles ABC and DEF are similar with ratio k.
Step 2: Derive the information
Suppose that the triangle ABC is k times larger than triangle DEF.
=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.
For example:
AB = k x DE
AC = k x DF
BC = k x EF
=> AB + AC + BC = k x (DE + DF + EF)
=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF
Step 3: Solve the problem step-by-step
Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.
As the above assumption states:
AH = k x DH'
BC = k x EF
Multiply both sides of the two above equations:
=> AH x BC = DH x EF x k x k
Simplify k components:
=> AH x BC = DH x EF x k^2
Multiply (1/2) to both sides:
=> (1/2) x AH x BC = (1/2) x DH x EF x k^2
Apply the formula to calculate the area of a triangle:
=> Area of triangle ABC = Area of triangle DEF x k^2
In other words:
The area of triangle ABC is (k^2) times larger than area of triangle DEK.
Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4
Step 4: Make the conclusion
=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.
Hope this helps!
:)
Draw the graph of y = 3x - 1
on the grid.
Which situation could the equation -3*20=-60 represent?
Answer:
total temp of 20 winter days
Step-by-step explanation:
Find the coordinate of point X inside segment BE that is 1/2 (half) the
distance from B to E.
2
Answer:
Point D
Step-by-step explanation:
Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.
8
If Zoey sells over 50 boxes of cookies, then she will win a prize.
Which of the following is the hypothesis in the statement above?
A.
she will not win a prize
B.
Zoey sells under 50 boxes of cookies
C.
she will win a prize
D.
Zoey sells over 50 boxes of cookies
Answer: Zoey sells over 50 boxes of cookies
Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.
y= 3x+7
y = -2x - 3
Whats the x and y for the solution
Answer:
x=-2, y=1
Step-by-step explanation:
y=3x+7
y=-2x+3
Set the two equations equal to each other:
3x+7=-2x-3
Add 2x to both sides:
5x+7=-3
Subtract 7 from both sides:
5x=-10
Divide both sides by 5:
x=-2
Plug back into one of the original equations to find y:
y=3(-2)+7=-15+7=1
Hope this helps!
Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4
Answer:
Step-by-step explanation:
Multiply by the reciprocal of 3/4. That is 4/3
[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]
2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover
[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent
An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?
Answer:
10%
Step-by-step explanation:
35 ÷ 100 = 0.35
38.5 - 35 = 3.5
3.5 ÷ 0.35 = 10%
which of the following describes the number 0.5? A. irrational, terminating decimal
B. Rational, repeating decimal
C. irrational, nonrepeating decimal
D. Rational, terminating decimal
Answer:
D
Step-by-step explanation:
0.5 can be written as a fraction and 0.5 doesn't repeat
The number 0.5 is rational and terminating decimal thus option (D) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given number, 0.5
Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.
Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.
Hence "The number 0.5 is rational and terminating decimal".
For more about the number system,
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Three shirts and two pairs of pants cost $40. Four shirts and one pair of pants cost $37.50. How much does one shirt cost?
A. $5.00
B. $9.50
C. $6.75
D. $7.00
Answer:
d, 700
Step-by-step explanation:
it's the only one that makes sense
plz help asap im timed just this and ill give u 5 stars brainliest and a thank u no cap
no its not a
Answer:
D
Step-by-step explanation:
2 x 4 = 8
8 x 2 = 16
4 x 9 = 36
36 x 2 = 72
9 x 2 = 18
18 x 2 = 36
16 + 72 + 36 = 124
124 = D
which equation represents the function on the graph?
Answer:
the answer would be c the
third option
will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?
A'(5, 3) B'(–3, 2)
C'(–2, –2)
A'(5, 3) B'(3, –2)
C'(2, 2)
A'(–5, –3)
B'(3, –2)
C'(–2, –2)
A'(–5, –3) B'(3, –2)
C'(2, 2)
Answer:
A'(-5, -3) B'(3, -2) C'(2, 2)
Step-by-step explanation:
count the squares up or down to the x axis from each point and then go the same number of squares on the other side
Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and
Answer:
Angle x=19°
Angle Y=53° hopes this helps i might be wrong idk
Step-by-step explanation:
Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be in the sample *see attached*
Answer: 10
Step-by-step explanation:
Given the following :
Total number of visitors = 350
Sample size = 30
Number selected from each strata is given by:
(Strata size ÷ Total population) × sample size
From the cumulative frequency distribution :
Child - 90
Teen - (210 - 90) = 120
Adult - (350 - 210) = 140
Senior = 0
Strata size of teen = 120
Therefore, number of teen selected is ;
(120 ÷ 350) × 30
0.3428571 * 30 = 10.26 (10 visitors)
25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1
Answer:
5/10
Step-by-step explanation:
0.5 is 5 tenths which is 5/10
Math revision part 4
Answer:
First one is (d)
Second one is (c)
Third is (a)
Fourth is (21)
equivalent fractions for 5 out of 7
Answer:
There are 20 ways but I will give you 4 :)
1. Multiply the numerator and the denominator by 2:
5/7 x 2/2 = 10/14
2. Multiply the numerator and the denominator by 3:
5/7 x 3/3 = 15/21
3. Multiply the numerator and the denominator by 4:
5/7 x 4/4 = 20/28
4. Multiply the numerator and the denominator by 5:
5/7 x 5/5 = 25/35
Step-by-step explanation:
There you go!
The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?
Answer:
Cone: 201.92=π×r^2×h×1/3
Cylinder: V=π×r^2×h
So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:
201.92×3
Step-by-step explanation:
Answer:
Anwser is (B)
Step-by-step explanation:
Cone: 201.92=π×r^2×h×1/3
Cylinder: V=π×r^2×h
So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:
pls help........................
Answer:
30 in
Step-by-step explanation:
idk how to explain, so yea:)
PLEASE HELP !!
Image attached
Answer:
C = 31.4 inches
Step-by-step explanation:
The circumference of a circle is found by
C = pi *d
C =3.14 * 10
C = 31.4 inches
Answer:
C = 31.4 inches
Step-by-step explanation:
To find the circumfrence
C = pixd
C =3.14x10
C = 31.4 inches
In a school there are 300 students 90 of them are male students. Find out the percentage of female students.
Answer:
70%
Step-by-step explanation:
Total students = 300
Male students = 90
Female students = 300 - 90 = 210
Percentage of female students
[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]
Answer:
70%
Key Points:
Total Students: 300Male Students: 90Unknowns:
Male Student PercentageFemale Student CountFemale Student PercentageWe are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.
300 overall students - 90 male students = ____ female students
Simplify.
Given our above equation, we now know that there are 210 female students at the school.
In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.
[tex]\frac{210}{300} = ?[/tex]
Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7
Now, you need to multiply it by 100 so that you can create a percentage.
0.7 × 100 = 70%
Therefore, 70% of the students are female.
Checking our work:
A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.
If 70% is the correct percentage for female students, the male and female percentages should add up to 100%
Finding the male percentage:
Similar to how we found the percentage of females at the school, we must divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.
[tex]\frac{90}{300} = ?[/tex]
Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3
Next, multiply your answer by 100 to get our percentage.
0.3 × 100 = 30%
Knowns:
Female Percentage: 70%Male Percentage: 30%Add the female percentage with the male percentage: 70% + 30% = 100%
As predicted, our answer was 100%. Therefore, 70% of the students are female.
Learn more about solving for percentages by reviewing these answers!
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A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the
prism?
the volume of the rectangular prism is 80 cubic centimeters.
The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.
Volume = length × width × height
Substituting the given values into the formula:
Volume = 5 cm × 8 cm × 2 cm
Calculating the multiplication:
Volume = 80 cm³
Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.
Learn more about volume here
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