Answer:
c
Step-by-step explanation:
2.34 to 3.34 is 1hr
3.34 plus half an hour is 4.04 plus 13 mins
The coach has $400 to spend on the end of season party. She
purchases awards for $80 and decorations for $35. She will use the
remaining money to order pizza. If pizzas cost $12 each, what is the
most pizzas can she buy?
at cooley middle school there are 6 teachers for every 102 students. there are 825 students enrolled at the school. How many teachers are needed?
Answer:
49 teachers
Step-by-step explanation:
By proportion, the number of teachers needed is found as follows:
6/102 = x/825 where x is the required number of teachers.
102x = 6*825
x = (6*825)/102
= 48.5
Answer:
Se necesitan 49 profesares
Step-by-step explanation:
can someone give me the step by step for 10
x^2 = (16)^2 + (16)^2
x^2 = 256 + 256
x^2 = 512
x = 16√2
In ΔABC, m∠B = 90°, cos(C) = , and AB = 16 units.
Based on this information, m∠A =
°, m∠C =
°, and AC =
units.
Note that the angle measures are rounded to the nearest degree.
The sides and angles of the right triangle area as follows:
m∠C = 28°
m∠A = 62°
AC = 17 units
How to find the sides and angles of a right angle triangle?Using trigonometric ratios,
cos C = 15 / 17
m∠C = cos⁻¹ 0.88235294117
m∠C = 28.0726015272
m∠C = 28°
m∠A = 180 - 28 - 90 = 62°
AC = 17 units
AC is the hypotenuse of the right angle triangle.
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Write as a percentage.
30/50
What is the value represented by the letter A on the box plot of the data?
10, 12, 15, 21, 24, 30
H
А
B
B
с
D
m
Enter your answer in the box.
Answer:
10
Step-by-step explanation:
The first line on the box plot is always the minimum value
In a hostel, 120 students had provisions of food for 60 days. After 20 days, some students were added to the hostel, the provision of food finished 10 days ago earlier. How many students were added?
Answer:
If I'm right, the answers should be 40.
Ailsa is twice as old as Barbara. Ailsa is 5 years younger the candy. the average age of candy ailsa and Barbara is 15. determine candys age
Answer:
Candy is 21 years old
Step-by-step explanation:
If Alisa is 16 years old, that would mean that Barbara would be 8, since she is half of Alisa's age.
If we add 5 to Alisa's age, we get 21. To find the average of their ages, we add them all up, and divide by how many people there are (3).
16+8+21=45
45÷3=15
Hope this helps!
Age of Ailsa is 20 years. Then Candy's age will be 15 years.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
Ailsa is twice as old as Barbara. Ailsa is 5 years younger than Candy. The average age of Candy, Ailsa, and Barbara is 15.
Let 'x' be the age of Ailsa, 'y' be the age of Barbara, and 'z' be the age of Candy. Then the equations are given as,
x = 2y ...(1)
x - 5 = z ...(2)
(x + y + z) / 3 = 15 ...(3)
From equations (1), (2), and (3), then
x + x / 2 + x - 5 = 45
(5/2) x = 50
x = 20
Then the age Candy is calculated as,
z = 20 - 5
z = 15
Age of Ailsa is 20 years. Then Candy's age will be 15 years.
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CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of the door if it is 7 feet high?
Answer:
width = 3 feetStep-by-step explanation:
Let h be the height of the door
and w be its width
The statement “The height of the door is I foot more than twice its width”
can be translated mathematically like this : h = 2w + 1
Let’s solve the equation for w:
h = 2w + 1
⇔ 2w = h - 1
[tex]\Leftrightarrow w=\frac{h-1}{2}[/tex]
now , if the door is 7 feet high then it’s width is equal to :
[tex]\Rightarrow \frac{7-1}{2} =\frac{6}{2} =3 \ ft[/tex]
Answer:
3 feet
Step-by-step explanation:
It mentions that the height of the door is 1 foot more than twice its width.
height (h) = 2 × width (w) + 1 footThe width of a door of height 7 feet will be :
7 feet = 2 × width (w) + 1 foot2× width (w) = 6 feetwidth (w) = 3 feetHow many meters is this?
Answer:
6.28 meters
Step-by-step explanation:
Circumference is the distance around the circle, given by:
C = pi•d
C = 3.14 • 2
C = 6.28 meters
Answer:
6.28 Meters
Step-by-step explanation:
2pi * r
= 2*3.14
= 6.28 Meters
Please help me:( The question is the line y=mx+c passes through the point (3,4) and is perpendicular to the line y+2x=4. Find m and c.
Answer:
m = [tex]\frac{1}{2}[/tex] , c = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y + 2x = 4 ( subtract 2x from both sides )
y = - 2x + 4 ← in slope- intercept form
with slope m = - 2
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
to find c substitute (3, 4 ) into the partial equation
4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line
with m = [tex]\frac{1}{2}[/tex] and c = [tex]\frac{5}{2}[/tex]
this is from 7th grade
Answer:
3, 4
Step-by-step explanation:
The expanded form of the given product is found using the distributive property. An equivalent form can be found using the commutative property of multiplication.
__
7(2 -3n) = 7(2) +7(-3n) = 14 -21n . . . . . . . matches 3
Swapping the factors gives ...
7(2 -3n) = (2 -3n)·7 . . . . . . . . . . matches 4
__
About the other choices
1. The value is not the same as 14 -21n. It appears to have been the result of (more or less) adding 7 to the coefficients inside parentheses.
2. It is a common mistake to eliminate parentheses after applying the outside factor to the first term only. That seems to be what happened here. The distributive property says you apply the factor to all the terms inside parentheses.
5. The sum of terms (2 -3n) has been incorrectly replaced by the product of terms (2)(-3n).
160% of a number is 0.84. find the number.
Answer:
0.525 is the number.
X = Y/P%
X = 0.84/160%
p = 160%/100 = 1.6
X = 0.84/1.6
X = 0.525
ethan sorts shapes into two groups as shown what mistakes does ethan make use the drop down menus to explain the mistakes ethan makes
Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
How to spot mistakes?The image showing the two groups is as shown in the brainly link attached at the end.
From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:
All the shapes in group 1 have 4 square corners.All the shapes in group 2 have exactly 1 square corner.Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.
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Sara can paint a small deck in 7 hours. Together with Joe, they can paint the deck in 3 hours.
How long would it take Joe to paint the deck by himself? Write a Rational Equation and use it to
solve for the answer to this question.
Answer:
12/5 hours
Step-by-step explanation:
Let the total area to be painted be X
Let S be the rate at which Sally paints and J be the rate at which Joe paints
We have:
X/S = 4 hours (1)
X/J = 6 hours (2)
(1) ÷ (2) ==>
LHS = X/S ÷ X/j = X/S × J/X ==> J/S (3)
RHS = 4/6 = 2/3 (4)
From (3) and (4)
J/S = 2/3 or J =2/3 × S
If they both paint at the same time time taken is
X/(S+J)
S + J = S + 2/3 *S = 5/3S
So time taken for both of them to paint is X/(5/3)*S = X/S * 3/5
But we know from (1) that X/S = 4 so time taken = 4 * 3/5 = 12/5 hours
You are in charge of snacks for a youth event. You send your cousin Norm who is a complete nerd to
the store to price some items for you. For some inexplicable reason instead of telling you the price
for each item, he gives you this information:
If you buy 3 bags of Reese's Peanut Butter Cups and 6 bags of York Peppermint Patties, it costs $48.
If you buy 4 bags of Reese's Peanut Butter Cups and 3 bags of York Peppermint Patties, it costs $51.
Figure out how much each single bag costs. (Do not enter a $, just the number)
Reese's Peanut Butter Cups:
York Peppermint Patties:
Answer:
Reese's Peanut Butter Cups: 10.8
York Peppermint Patties: 2.6
Step-by-step explanation:
Let Reese's Peanut Butter Cups be r and York Peppermint Patties y.
Step 1: Make equations.
1) If you buy 3 bags of Reese's Peanut Butter Cups and 6 bags of York Peppermint Patties, it costs $48.
[tex]3r + 6y = 48[/tex]
2) If you buy 4 bags of Reese's Peanut Butter Cups and 3 bags of York Peppermint Patties, it costs $51.
[tex]4r + 3y = 51[/tex]
Step 2: Solve the system of equations.
We have system of equations. I'll solve them by elimination.
[tex](1.) \text{ } 3r + 6y = 48\\(2.) \text{ } 4r + 3y = 51[/tex]
Multiply the second equation with 2 so we'll get 6y.
[tex](1.) \text{ } 3r + 6y = 48\\(2.) \text{ } 8r + 6y = 102[/tex]
Now let's subtract second equation from first and solve for r.
[tex]3r - 8r + 6y - 6y = 48 - 102\\-5r = -54\\r = \frac{-54}{-5}\\r = \$10.8[/tex]
To get y let's substitute the value of r in first equation.
[tex]3r + 6y = 48\\3 \cdot 10.8 + 6y = 48\\32.4 + 6y = 48\\6y = 15.6\\y = \$2.6[/tex]
Write the standard form equation for circle
Step-by-step explanation:
(x - h)² + (y - k)² = r²
with (h, k) being the center and r the radius.
in our case the center is (1, 3), the radius is 3.
so, the right answer is the third answer option
(x - 1)² + (y - 3)² = 9
Perimeter and Area Geometry homework! {Jim Thompson}
Part A
The yard is a quadrilateral with the following corner points
(0,0)(0,40)(40,50)(50,0)I'll label those points A through D in the order presented above.
From A to B is 40 feet since 40-0 = 40. We can subtract the y coordinates because the x coordinates are the same.
In short: side AB is 40 feet long.
The length of side BC is not as simple. We'll need the distance formula.
[tex]B = (x_1,y_1) = (0,40) \text{ and } C = (x_2, y_2) = (40,50)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-40)^2 + (40-50)^2}\\\\d = \sqrt{(-40)^2 + (-10)^2}\\\\d = \sqrt{1600 + 100}\\\\d = \sqrt{1700}\\\\d = \sqrt{100*17}\\\\d = \sqrt{100}*\sqrt{17}\\\\d = 10\sqrt{17}\\\\d \approx 41.2311\\\\[/tex]
Segment BC is exactly [tex]10\sqrt{17}[/tex] feet long, which is about 41.2311 feet.
Use the distance formula again to find the distance from point C(40,50) to D(50,0)
[tex]C = (x_1,y_1) = (40,50) \text{ and } D = (x_2, y_2) = (50,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(40-50)^2 + (50-0)^2}\\\\d = \sqrt{(-10)^2 + (50)^2}\\\\d = \sqrt{100 + 2500}\\\\d = \sqrt{2600}\\\\d = \sqrt{100*26}\\\\d = \sqrt{100}*\sqrt{26}\\\\d = 10\sqrt{26}\\\\d \approx 50.9902\\\\[/tex]
Lastly, the side AD is exactly 50 feet because 50-0 = 50. We can subtract x coordinates because the y coordinates are the same. Use of the distance formula from A to D should show a result of 50 exactly.
We have these side lengths:
AB = 40
BC = 41.2311 (approximate)
CD = 50.9902 (approximate)
AD = 50
Add up those four sides and we'll get the perimeter of the quadrilateral.
AB+BC+CD+AD = 40+41.2311+50.9902+50 = 182.2213
Answer: About 182.2213 feet===================================================
Part B
The garden is a rectangle that is 15 feet across horizontally (since subtracting x coordinates gives us 25-10 = 15) and 20 feet vertically (since subtracting y coordinates gives us 35-15 = 20).
This 15 by 20 rectangle has an area of 15*20 = 300 square feet.
The deck is a trapezoid with the parallel bases of 20 feet up top and 35 feet down below. Like before, we subtract x coordinates to find the horizontal distance (since the y coordinates are the same). The height of this trapezoid is 15 feet. Subtract the y coordinates to find the height.
The area of the trapezoid is
A = h*(b1+b2)/2
A = 15*(20+35)/2
A = 412.5
That decimal value is exact.
Add it onto the area of the rectangle
412.5+300 = 712.5
Answer: 712.5 square feet exactlyIf f(x) = x+10, find f(7)
[tex]f(x)=x+10\\\\f(7)=(7)+10\\\\f(7)=17[/tex]
the answer is 17.
Answer:
The answer is 17, x±10 =10+7= 17
Please help me please help me
1. Are lines a and b perpendicular?
2. Are lines a and d perpendicular?
3. Are lines b and c parallel?
Complete a table for the equation
Answer:
Nothing provided
Step-by-step explanation:
Which expression is equivalent to (3√x^2)^6
Step-by-step explanation:
[tex] = {(3 \sqrt{ {x}^{2} } )}^{6} [/tex]
[tex] = {(3 {x}^{ \frac{2}{2} } )}^{6} [/tex]
[tex] = {(3x)}^{6} [/tex]
[tex] = {3}^{6} {x}^{6} [/tex]
[tex] = 729 {x}^{6} [/tex]
====================================
[tex]\large \sf \underline{Problem:}[/tex]
Which expression is equivalent to (3√x^2)^6
====================================
[tex]\large \sf \underline{Answer:}[/tex]
The answer is x⁴
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
[tex]( \sqrt[3] {x}^{2} )⁶ \: {The \: cube \: root \: of \: x² \: is \: x^(2/3)} (x^(2/3))⁶ {Now, \: simply \: multiply \: 2/3 \: by \: 6 \: to \: get \: 4.}[/tex]
x⁴
[tex]( \sqrt[3] {x}^{2} )⁶ \: is \: equivalent \: to \: x⁴[/tex]
====================================
The volume of this cone is 140 cm3
Find the perpendicular height, c.
Give your answer rounded to 1 DP.
х
7 cm
Answer:
x = 10.9 cm
Step-by-step explanation:
Formula for a cone
Volume (cone) = 1/3 × π × (radius)² × heightHere, we are given :
Diameter = 7 cmVolume = 140 cm³Solving
140 = 1/3 × 22/7 × (7/2)² × (x)420 = 11 × 7/2 × (x)77x = 840x = 840/77x = 10.9 cm (1 DP)Answer:
x ≈ 3.6 cm
Step-by-step explanation:
the volume (V) of a cone is calculated as
V = πr²h ( r is the radius and h the perpendicular height )
here diameter = 7 , so r = 7 ÷ 2 = 3.5 , V = 140 and h = x , then
π × 3.5² × x = 140
π × 12.25x = 140 ( divide both sides by 12.25π )
x = [tex]\frac{140}{12.25\pi }[/tex] ≈ 3.6 cm ( to 1 dec. place )
10000x30 1000x30 100x30 10x 30
Answer:
300000
30000
3000
300
Step-by-step explanation:
Use the zero's trick for 10's.
The product of the given multiplications are 300000, 30000, 3000 and 300
What is multiplication?Multiplication is when you take one number and add it together a number of times.
Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".
Given that are four multiplication, 10000x30, 1000x30, 100x30 and 10x 30,
We know,
Multiplication by multiples of 10, 100, 1000, 10000:
We multiply the multiplicand by the non-zero digit of the multiplier. Then we add the same number of zero to the extreme right of the product as the multiplier has.
For example :-
26 × 10000 = 260000
524 × 10000 = 5240000
Therefore,
10000 x 30 = 300000
1000 x 30 = 30000
100 x 30 = 3000
10 x 30 = 300
Hence, the product of the given multiplications are 300000, 30000, 3000 and 300
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Shara collected two different data sets and labeled them data set S and data set T. Data set S has a correlation coefficient of −0.91, and data set T has a correlation coefficient of 0.89.
Part A: Which data set has a stronger linear relationship?
Part B: How do you know this?
Select two answers, one for Part A and one for Part B.
Data set T has strong linear relationship as it is a perfect positive correlation
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
Part A &B : Data set T has strong linear relationship as it is a perfect positive correlation
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Please help with 6 and 7
Answer:
6. The number is [tex]-5[/tex]
7. The two numbers are [tex]10[/tex] and [tex]11[/tex]
Step-by-step explanation:
Question six can be re-worded to create the following expression:
[tex]-2=\frac{4x+10}{5}[/tex]
Solve for x to find the number:
[tex]-2=\frac{4x+10}{5}\\-10=4x+10\\-20=4x\\\frac{-20}{4} = x\\-5 = x[/tex]
Question seven can be solved by first listing the constraints (assuming x is smaller than y):
x and y are less than 20[tex]x + 1 = y[/tex][tex]3x - 8 = 2y[/tex]To get the numbers, we can create a system of linear equations. First, solve for [tex]y[/tex] in each expression:
[tex]y = x+1[/tex]
[tex]2y = 3x-8\\y = \frac{3}{2}x - 4[/tex]
Solve for [tex]x[/tex]:
[tex]x+ 1 = \frac{3}{2}x - 4\\x + 5 = \frac{3}{2}x\\5 = \frac{3}{2}x - x\\5 = \frac{1}{2}x\\10 = x[/tex]
Solve for [tex]y[/tex]:
[tex]y = x + 1\\y = 10 + 1\\y= 11[/tex]
Answer:
see explanation
Step-by-step explanation:
(6)
let n be the number then the sum of 4 times the number and 10 is 4n + 10
so
[tex]\frac{4n+10}{5}[/tex] = - 2 ( multiply both sides by 5 to clear the fraction )
4n + 10 = - 10 ( subtract 10 from both sides )
4n = - 20 ( divide both sides by 4 )
n = - 5
(7)
let the consecutive integers be n and n + 1 , then
3n = 2(n + 1) - 8 ← distribute parenthesis and simplify right side
3n = 2n + 2 - 8
3n = 2n - 6 ( subtract 2n from both sides )
n = - 6 and n + 1 = - 6 + 1 = - 5
the 2 integers are - 6 and - 5
The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. what is the life span of an appliance that has a z-score of –3?
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the parameters are given as follows:
[tex]\mu = 48, \sigma = 8, Z = -3[/tex].
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-3 = \frac{X - 48}{8}[/tex]
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
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Answer:
Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
The z-score measures how many standard deviations the measure is above or below the mean.
Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the parameters are given as follows:
.
Hence:
X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
Find the surface area of the cone in terms of pie
23 cm
14 cm
Answer:
550 sq. cm
Step-by-step explanation:
Attached above (answer):-
Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?
Answer:
106 students
Step-by-step explanation:
If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10
and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls
=96+10= 106 students
⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆
