Answer:
She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
Step-by-step explanation:
We are given that Isabelle bought some stationery.
Fraction of pencil = [tex]\frac{1}{3}[/tex]
Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]
5/8 of the remainder were erasers
So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]
Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]
Cost of ruler = $0.50
Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]
Cost of eraser=$1
Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]
Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]
Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.
Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
holly drinks 2 2/5 litre of water each day. The water comes in 1 2/5 litre bottles. How many bottles does Holly drink in a week?
Answer:Holly drank 12 bottles in a week.
Step-by-step explanation:
First change the fraction 1 2/5 litre into a decimal, by doing this, we can know how many litres are there in 2/5.
So= 1 2/5
= 2 ÷5 = 0.4
= 1 + 0.4 = 1.4 liters
1.4 liters is the amount of water in a bottle.
Next, also change the fraction 2 2/5 litres into a decimal.
So=2 2/5
= 2÷5 = 0.4
= 2 + 0.4 = 2.4 liters
She drinks 2.4 liters a day.
To find how many bottles she drank in 1 week, we must multiply the amount of water she drinks in a day to the days in a week.
So= 1 week= 7 days
= 1 day= 2.4 liters
So= 2.4 × 7 = 16.8
She drinks 16.8 in a week.
To find how much bottles she drank in a week, we must divide the amount of liters she drank in one week to the amount of liters are there in a bottle.
So= 16.8 ÷ 1.4= 12 bottles
Holly drinks 12 bottles in a week.
I hope this helps! I'm sorry if it's wrong and complicated.
The circumference of a circle is 6π in. What is the area, in square inches? Express your answer in terms of \piπ.
Step-by-step explanation:
Hey, there!!
According to the question,
There is given circumference = 6pi in.
or, 2.pi.r = 6pi.in
or, r = 6 pi.in/ 2
Therefore, the radius (r)= 3in.
now,
area = pi.r^2
a= pi× (3in)^2
Therefore, the area is 9.pi.in^2.
Hope it helps....
Answer:
A ≈ 2.86
Step-by-step explanation:
Using the formulas
A = πr²
C = 2πr
Solving for A
A = C²/ 4π = 6²/ 4·π ≈ 2.86479
On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answer:
B, 10+ /10 units
Step-by-step explanation:
hey can you help me w/ some math ?? i make $8.50 an hour. monday through sunday only wednesday’s off. how much will i have in 2 years from today ? monday, tuesday & sunday is from 4-9pm .... then friday,saturday & sunday is from 4-10pm.
Answer:
$29252.1669
Approximately $29252.1
Step-by-step explanation:
For Monday, Tuesday and Sunday:
=> 8.50 x 5 x 3
=> 8.5 x 15
=> 127.5
I multiplied 8.5 and 5 because you work for 5 hours. Then multiplied them with 3 it is for 3 days.
For Friday, Saturday, Thursday:
=> 8.5 x 6 x 3
=> 8.5 x 18
=> 153
I multiplied 8.5 and 6 because you work for 6 hours. Then multiplied them with 3 because it is for 3 days.
In 1 week you get:
=> 153 + 127.5
=> 280.5
In 1 year there are 52.1429 weeks.
So, you get:
=> 52.1429 x 280.5
=> 14626.08345
For 2 years, you get:
=> 14626.08345x 2
=> 29252.1669
=> Approximately $29252.1
The finite geometric sequence has 10 terms. The sum of all terms with even index is 682 and the sum of all terms with odd index is 1364. Determine the first term. Please also state what does "index" refer to in the question?
Answer:
First term=1024
Common ratio = ½
Step-by-step explanation:
Index means its position
Even index means the 2nd, 4th, 6th ....terms
Solve the equation for x
Answer:
x = 33
Step 1:
First, let's add the values together from both parentheses.
2x + x = 3x
1 + (-10) = -9
Now we are left with:
3x - 9 = 90.
Step 2:
Add 9 on the left side to cancel out the 9. Add it to the right side.
3x = 99
Finally, divide both sides by 3 to get our answer.
3x / 3 = x
99 / 3 = 33
x = 33
show that (x-1) is a factor of x¹⁰-1
Answer:
The answer is 0 X=1
1. x10-1
(1)10-1
1-1
=0
2. x11-1
(1)11-1
1-1
=0
Step-by-step explanation:
Which of these expressions is equivalent to 3x(x-1)-5(x-1)? Select all that apply.
3x^2-8x+5
x-1(3x-5)
(3x-5)(x-1)
(x-1)(3x+5)
Answer:
3x(x-1)-5(x-1)
=3x²-3x-5x+5 (we can count it one by one)
=3x²-8x+5 (we can calculate the same variable)
#i'm from indonesia
hope it helps.
Answer:
[tex]\boxed{3x^2 -8x+5}[/tex]
[tex]\boxed{(3x-5)(x-1)}[/tex]
Step-by-step explanation:
[tex]3x(x-1)-5(x-1)[/tex]
Expand brackets.
[tex]3x(x)+3x(-1)-5(x)-5(-1)[/tex]
[tex]3x^2 -3x-5x+5[/tex]
Combine like terms.
[tex]3x^2 -8x+5[/tex]
[tex]3x(x-1)-5(x-1)[/tex]
Take x-1 as a common factor.
[tex](3x-5)(x-1)[/tex]
–20, - 12,5, 22, . . .
An=
A50=
Answer:
an = 17n - 46
a50 = 804
Step-by-step explanation:
-29, -12, 5, 22, ...
Subtract each number from the next one.
-12 - (-29) = 17
5 - (-12) = 17
22 - 5 = 17
The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.
a1 = -29
a2 = -29 + 17
a3 = -29 + 2(17)
a4 = -29 + 3(17)
Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.
For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.
an = -29 + 17(n - 1)
This formula can be simplified.
an = -29 + 17n - 17
an = -46 + 17n
an = 17n - 46
a50 = 17(50) - 46
a50 = 804
Which data set has an outlier?
Answer:
Option B
Step-by-step explanation:
You can tell this because it has the largest difference from the second highest listed value.
Answer:
Answer Is D
Step-by-step explanation:
Does coordinate p or coordinate q represent a greater number?
PLEASE HELP!!
Answer: the answer is P
Step-by-step explanation:
Find the area of the shape shown below.
2
2
2
2
2
units
Answer:
8
Step-by-step explanation:
khan
Answer:
8
Step-by-step explanation:
from a group of 25 men,12 were to be given gifts.What is the probability of choosing a man who did not a gift
Answer:
13/25
Step-by-step explanation:
When you subtract 12 from 25, you get 13. So, 13 men did not get a gift.
Hence,
the probability would be 13/25 of the men who did not get a gift.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.
Answer:
Hope I helped! Brainleist!
Step-by-step explanation:
you get $12/week
and you have $
your equation is
y=12x
now...
y = 384
so
384=12x
x= 32
help me solve please
Answer:
D) 16+4√2
Step-by-step explanation:
If the area of the triangle is 8, we use 1/2bh to find it. Since b and h are the same on this triangle, we find that 8=1/2(4)(4)
Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4. We just need to find the bottom of the parallelogram to know the perimeter. It’s the same as the hypotenuse of the right triangle.
4²+4²=c²
16+16=c²
32=c²
c=√32 Now we have all 5 sides.
4+4+4+4+√32
16+√32
16+4√2
Graph the function f(x)=6x^5+8x^4-7x^3-5x^2+10 by making a table of values.
Answer:
Step-by-step explanation:
A fifth-grade polynomial requires a minimum of 6 different points to create an adequate graph. Let is [tex]X[/tex] the dominion of the polynomial, such that [tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]4[/tex], [tex]5[/tex] [tex]\in X[/tex]. The values of the function for each value are calculated herein:
x = 0
[tex]f(0) = 6\cdot 0^{5}+8\cdot 0^{4}-7\cdot 0^{3}-5\cdot 0^{2}+10[/tex]
[tex]f(0) = 10[/tex]
x = 1
[tex]f(1) = 6\cdot 1^{5}+8\cdot 1^{4}-7\cdot 1^{3}-5\cdot 1^{2}+10[/tex]
[tex]f(1) = 12[/tex]
x = 2
[tex]f(2) = 6\cdot 2^{5}+8\cdot 2^{4}-7\cdot 2^{3}-5\cdot 2^{2}+10[/tex]
[tex]f(2) = 254[/tex]
x = 3
[tex]f(3) = 6\cdot 3^{5}+8\cdot 3^{4}-7\cdot 3^{3}-5\cdot 3^{2}+10[/tex]
[tex]f(3) = 1882[/tex]
x = 4
[tex]f(4) = 6\cdot 4^{5}+8\cdot 4^{4}-7\cdot 4^{3}-5\cdot 4^{2}+10[/tex]
[tex]f(4) = 7674[/tex]
x = 5
[tex]f(5) = 6\cdot 5^{5}+8\cdot 5^{4}-7\cdot 5^{3}-5\cdot 5^{2}+10[/tex]
[tex]f(5) = 22760[/tex]
The table is now presented:
x y
0 10
1 12
2 254
3 1882
4 7674
5 22760
Finally, the graphic is now constructed by using an online tool (i.e. Desmos). The image is included below as attachment.
Solve. 2x−y+3z=6 2x+y=3 2y−4z=−4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=
Answer:
(3/2, 0, 1)
Step-by-step explanation:
From 2x+y=3 we have => y=3-2x
From 2y-4z=-4 we have -4z=-2y-4 => z=1/2y+1 => z=1/2 (3-2x) +1 => z=5/2-x
Plug in y & z to find x
2x−y+3z=6 => 2x+(3-2x)+3(5/2-x)=6 => 2x+3-2x+15/2-3x=6 => 21/2-3x =6 => x=3/2
plug in x to find y
2x+y=3 => 2(1.5) + y =3 => y=0
plug in y to find z
2y -4z =-4 => 2(0)-4z=-4 => -4z=-4 => z=1
Plz help ASAP assignment due today !!!
Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.
Square - a rectangle (4 sided shape) whose sides are equal length
Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines
Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles
Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.
Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines
Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.
Happy to help!
Answer:
1). Triangle - Has 3 equal sides and angles of 60°.
2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).
3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.
4). Pentagon - It has 5 equal sides with equal angles of 108°.
5). Hexagon - It has 6 equal sides with equal angles of 120°.
PROPERTIES OF A CIRCLE:
It has no sides with no angles. The radius in any direction from the point are of the same length.
What is the x-value of the solution to the system of equations? 5x + 4y = 8 2x − 3y = 17 −3 −2 4 5
Answer:
x = 4Step-by-step explanation:
5x + 4y = 8 ⇒ 4y = 8 - 5x ⇒ y = (8 - 5x)÷4
2x − 3y = 17
2x - 3(8 - 5x)÷4 = 17
×4 ×4
8x - 3(8 - 5x) = 68
8x - 24 + 15x = 68
+24 +24
23x = 92
÷23 ÷23
x = 4
Answer:
it is 4
Step-by-step explanation:
i did it on edge hope it helps.:)
n circle L, arc NOP is 90° and the radius is 5 units. Which statement best describes the length of arc NOP? circle M with radii LM, LN, LO, and LP so that arc MNOP is created
Answer:
[tex]\frac{1}{4} \times 2\pi r[/tex] i.e circle circumference
Step-by-step explanation:
Data provided as per the question is
Arc NOP = Central angle = [tex]\theta = 90^\circ[/tex]
The Radius of circle = 5 units
The statement is shown below:-
we need to determine the statement which defines the best length of arc NOP
Arc length is
= [tex]\frac{control\ angle}{360} \times circumference\ of\ circle[/tex]
now we will put the values into the above formula
= [tex]\frac{90}{360} \times 2\pi r[/tex]
= [tex]\frac{1}{4} \times 2\pi r[/tex]
Hence, the [tex]\frac{1}{4} \times 2\pi r[/tex] i.e circle circumference is the best statement described.
Sue likes to run. One day she was running for 3 hours with an average speed of 7 miles per hour. How many miles did she run that day?
Answer:
21 miles
Step-by-step explanation:
Since every single hour she runs 7miles.
In 3 hours she will run 7*3 miles.
21 miles
Hey there! I'm happy to help!
If Sue ran with an average speed of 7 miles an hour for 1 hour, she would have run 7 miles. So, if she ran at this speed for 3 hours, she would have run 3 times the distance she would if she ran for one hour!
7×3=21
Therefore, Sue ran 21 miles that day.
Have a wonderful day! :D
Find the Volume of the following shape.
Answer:
The trapezoidal prism's volume is [tex]312m^{2}[/tex]
Step-by-step explanation:
Step 1: Recognize the shape is a trapezoidal prism
Constructed from:
Trapezoids
Step 2: Solve the area of the shape
Area of Trapezoid = [tex](\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}[/tex]
Step 3: Multiple the area of the Trapezoid by the width
Area of Trapezoid x 10m = Area of Trapezoidal Prism
[tex](31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume[/tex]
Can someone help me with this page I don’t know how to do this type of math
Please answer question
Answer:
87.6yd²
Step-by-step explanation:
Base: =1/2bh
=1/2(6)(5.2)=15.6
Sides: =1/2bh
=1/2(6)(8)=24 (3 of them)
15.6+24+24+24=87.6yd²
Help me with 1 please
Answer:
[tex]\huge\boxed{Mass = 11600\ kg}[/tex]
Step-by-step explanation:
Given:
Density = ρ = 2900 kg/m³
Volume = V = 4 m³
Required:
Mass = m = ?
Formula:
Mass = Density × Volume
Solution:
Mass = 2900 * 4
Mass = 11600 kg
A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calories each client burned during that time removing. which TWO of these data points will cause the correlation coefficient to decrease the most?
A). Data point A
B). Data point B
C). Data point C
D). Data point D
Answer:
Data Point B and Data point E
Step-by-step explanation:
Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.
Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.
A line that contains the points (5, −3) and (7, 3) has a slope, m, that equals
Answer:
m = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)
m = [tex]\frac{3+3}{7-5}[/tex] = [tex]\frac{6}{2}[/tex] = 3
PLEASE HELP I WILL GIVE BRAINLIEST Complete the frequency table: Method of Travel to School Walk/Bike Bus Car Row totals Under age 15 60 165 Age 15 and above 65 195 Column totals 152 110 98 360 What percentage of students under age 15 travel to school by car? Round to the nearest whole percent. 11% 18% 41% 80%
Answer:
11%
Step-by-step explanation:
1. Fill out the table with the correct numbers.
2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.
3. We know the total number of students under the age of 15 is 165.
4. To find the percent:
18/165 * 100
= 11%
Answer:
41%
Step-by-step explanation:
Look at the column "Age 15 and above".
Notice how the row total for that column is 195.
Also, look at "Bus".
Notice how there is a gap between 60 and 110.
To calculate the answer, you need to fill in the blanks using the surrounding numbers.
60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.
The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.
Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.
65 + 50 = 115, 115 + 80 = 195.
Although, notice that this does not mean the answer is not 80%.
We need to find what percentage is 80 out of 195.
80 out of 195 = 41.03%.
By rounding, we will get an answer of 41%.
Find y round to the nearest tenth
Y is 27.8
Just trust me please :)
