Answer:
4 people will be on the last chair.
Step-by-step explanation:
60 divided by 5 is 12. There will be 12 full seats. 64 - 60 is 4 so there will be 4 more on the last chair.
Hope this helped!
How much of an 8% solution should we use to make 100g of 3% solution?Please use the picture for the format :) thank you!!
x = -0.6
Explanation:The equation that represents this scenario is:
0.7x + 0.1*3 = 0.4(x + 3)
Solving for x, we have:
0.7x + 0.3 = 0.4x + 0.12
0.7x - 0.4x = 0.12 - 0.3
0.3x = -0.18
x = -0.18/0.3
= -0.6
37.5 is the answer for your question
y=2x+6
y = 2x-1
Solve for X and Y
Answer:
no solution
Step-by-step explanation:
y = 2x + 6 → (1)
y = 2x - 1 → (2)
substitute y = 2x + 6 into (2)
2x + 6 = 2x - 1 ( subtract 6 from both sides )
2x = 2x - 7 ( subtract 2x from both sides )
0 = - 7 ← not possible
This indicates the system of equations has no solution
three friends go grocery shopping together and each buys the same kind of oranges. lamar buys 2 pounds and pays $3.00 enrico buys 5 pounds and pays $7.50 anna buys 3 pounds and pays $4.50
The cost of 1 pound of orange will be $1.5. The total payment was $15. The total weight of orange was 10 pounds.
What is unitary method?The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this method is to establish values in relation to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel. The unitary method involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.
Here,
cost of 2 pound of orange=$3
cost of 5 pound of orange=$7.50
cost of 3 pound of orange=$4.50
Therefore,
The cost of 1 pound of orange is $1.5
The total payment made=$7.50+$4.50+$3
=$15
The total weight of oranges=2+3+5
=10 pounds
One pound of oranges will cost $1.5. $15 was paid in total. Orange weighed ten pounds in total.
To know more about unitary method,
https://brainly.com/question/22056199?referrer=searchResults
#SPJ1
What is an equation of the line that passes through the points (4, 1) and (8, -4)?
Answer:
[tex]y=-\frac{5}{4}x+6[/tex]
Step-by-step explanation:
[tex]m=\frac{-4-1}{8-4}=-\frac{5}{4} \\ \\ y-1=-\frac{5}{4}(x-4) \\ \\ y-1=-\frac{5}{4}x+5 \\ \\ y=-\frac{5}{4}x+6[/tex]
Answer:
y=-1.25x+6
Step-by-step explanation:
use slope formula to find slope
y2-y1/x2-x1
-4-1/8-4
-5/4
-1.25
y=-1.25x is the equation we can make with this slope and fill in the equation with one of the coordinates to find y intercept
1=-1.25(4)
1=-5
We need to add 6 for this to be true so y intercept is 6
The equation is
y=-1.25x+6
Hopes this helps please mark brainliest
Geometry Question: If the median to a side is a triangle is also an altitude to that side, then the triangle is isosceles. (#8 in picture)
8.
A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex. So:
[tex]\begin{gathered} AM\cong MB \\ MC\cong CM_{\text{ }}Reflexive_{\text{ }}property \\ m\angle AMC\cong m\angle BMC_{\text{ }}Perpendicular_{\text{ }}bisector \end{gathered}[/tex]Therefore:
[tex]\Delta AMC\cong\Delta BMC_{\text{ }}SAS_{\text{ }}Theorem[/tex][tex]m\angle CAM\cong\angle CBM_{\text{ }}CPCTC[/tex]We can conclude that:
[tex]\Delta ABC[/tex]Is an isosceles triangle
To find the groups profit subtract cost from income how much profit has the group earned from muffin sales so far
Solution'
To find the groups profit:
The formula for profit = Total income - Total cost
Cost of the muffin sales = since it cost $3.50 to bake a muffin
1 dozen = 12 (3.50) = $42
For a youth group of 15
The total cost of sales = 15 x 42 = $630
profit = total income - total cost
Profit = $1035 - $630
Profit = $405
A large glass holds 5/6 cup of water spouse you have 8 cups of water you want to fill both glasses how many of each size glass can you fill
PLEASEE HURRY ANYONE???
The number of large glasses that will be filled is 10 glasses.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator, as well as the denominator, are both integers.
Given that the large glass holds 5/6 cup of water and you have 8 cups of water. The number of glasses filled will be:
= 8 ÷ 5/6
= 8 × 6/5
= 48/5
= 9.6
= 10 glasses approximately
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
When connected of Wi-fi, Julian's smart phone downloaded 32 songs in 4 minutes. How many songs can bedownloaded per minute
8 songs
Explanation:number of songs = 32
time = 4minutes
let the number of song per minute = y
32 songs = 4 minute
y = 1 minute
Cross multiply:
32(1) = 4(y)
32 = 4y
32/4 = 4y/4
y = 8
This means the number of songs that can be downloaded per minute is 8yna
Cindy's beginning balance in her checkbook was $463.18. She madedeposits of $265, wrote checks for $198.73, and had to pay a bankcharge of $2.50. What was her ending balance for the month?a. $519.27b. $526.95c. $381.73d. $911.73
Given,
The initial balance in the checkbook is $463.18.
The deposite money is $265.
The amount of check is $198.73.
The charge paid for bank is $2.50.
The ending balance at the month end is,
[tex]\begin{gathered} \text{Ending balance=}463.18+265-198.73-2.50 \\ =526.95 \end{gathered}[/tex]Hence, option b ($526.95) is correct.
Determine the exact value of (sin 45 °) (cos 45 ) + (sin 30°) (sin 60°)
(Don't leave radicals in the denominator)
Answer:
[tex]\frac{1}{2}+ \frac{\sqrt{3} }{4}[/tex]
Step-by-step explanation:
Refer to the triangle diagrams I attached. Use SOH CAH TOA
[tex]sin(45)*cos(45)+sin (30)* sin (60)[/tex]
The exact value of sin(45) is [tex]\frac{\sqrt{2} }{2}[/tex]
[tex]\frac{\sqrt{2} }{2}*cos(45)+sin (30)* sin (60)[/tex]
The exact value of cos(45) is [tex]\frac{\sqrt{2} }{2}[/tex]
[tex]\frac{\sqrt{2} }{2}*\frac{\sqrt{2} }{2}+sin (30)* sin (60)[/tex]
Multiply [tex]\frac{\sqrt{2} }{2}*\frac{\sqrt{2} }{2}[/tex].
[tex]\frac{\sqrt{2}^{2} }{4}+sin (30)* sin (60)[/tex]
Rewrite [tex]{\sqrt{2}^{2}[/tex] as 2.
[tex]\frac{2}{4} +sin (30)* sin (60)[/tex]
Simplify
[tex]\frac{1}{2} +sin (30)* sin (60)[/tex]
The exact value of sin(30) is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2} +\frac{1}{2} * sin (60)[/tex]
The exact value of sin(60) is [tex]\frac{\sqrt{3} }{2}[/tex]
[tex]\frac{1}{2} +\frac{1}{2} * \frac{\sqrt{3} }{2}[/tex]
Simplify
[tex]\frac{1}{2}+ \frac{\sqrt{3} }{4}[/tex]
Quadratic Word Problems (Profit/Gravity) (SHOW WORK)
Nov 03, 9:48:22 AM
Watch help video
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find out
the time at which the rocket will reach its max, to the nearest 100th of a second.
y = -16a² + 190x + 72
Answer:
Submit Answer
attempt 1 out of 4
After 5.94 sec it will reach at maximum height.
What is quadratic equation ?An algebraic equation of the second degree in x is a quadratic equation. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the standard quadratic equation.
Calculationy = -16a² + 190x + 72
for maximum y value we need to find y'(x)
y' = -32x + 190
put y' = 0
-32x + 190 = 0
x = 5.94 sec
so after 5.94 sec it will reach at maximum height.
learn more about quadratic equation here :
brainly.com/question/17177510
#SPJ1
The emission veat of local zoo was $1.50 for children and $4.00 for adults, on a certain day 3000 people enter the zoo in $9250 is collected how many children adults attended?
1100 children and 1900 adults attended the local zoo on that day.
A system of equations or an equation system is a finite set of equations for which common solutions are sought.
Given:
A local zoo's admission fee is $1.50 for children and $4.00 for adults.
On a certain day, 3000 people enter the zoo and $9250.00 is collected.
We have to determine how many children and how many adults attended?
Solution:
Let number of children enter the zoo = x
Then number of adults enter the zoo = 3000-x
Total collection = $9250
Collection from children + Collection from adults = 9250
1.50 × x + 4(3000-x) = 9250
1.5x + 12000 – 4x = 9250
1.5x - 4x = 9250 - 12000
-2.5x = -2750
2.5x = 2750
X =2750/2.5
X = 1100
Number of children enter the zoo = x = 1100
Number of adults enter the zoo = 3000 - x = 3000 - 1100 = 1900
Therefore 1100 children and 1900 adults attended the local zoo on that day.
To learn more about the system of equations visit
https://brainly.com/question/24065247
#SPJ1
7(h - 22)= 56 answer
Answer:
h = 30
Step-by-step explanation:
This problem is asking us to solve for h.
If you divide, multiply, subtract both sides of a equation by the same number, the final result will stay the same.
1) Divide 7 on both sides.
[tex]\frac{7(h-22)}{7} =\frac{56}{7}[/tex]
2) Simplify.
h-22 = 8
3) Add 2 on both sides.
h - 22 + 22 = 8 + 22
4) Simplify.
h = 30
Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.
Find the Sample standard deviation for Car 1 and Car 2
Answer:
he sample standard deviation for Car 1 is 8.2 miles and the sample standard deviation for Car 2 is 9.3 miles.
Step-by-step explanation:
Ben is making waffles for breakfast. The recipe calls for 1-1/2 cups of water for every 2 cups of AuntJemina pancake mix. How many cups water would he need for only one cup of Pancake mix? Show your work
3/4 cups of water would need for only one cup of Pancake mix.
From the question, we have
1-1/2 cups water would he need for every 2 cups of pancake mix.
3/2 cups water would he need for every 2 cups of pancake mix.
Required cups water for only one cup of Pancake mix = 3/(2*2)
=3/4
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
To learn more about multiplication visit: https://brainly.com/question/5992872
#SPJ9
Answer:
3/4 cups of water would need for only one cup of Pancake mix.
From the question, we have
1-1/2 cups water would he need for every 2 cups of pancake mix.
3/2 cups water would he need for every 2 cups of pancake mix.
Required cups water for only one cup of Pancake mix = 3/(2*2)
=3/4
Step-by-step explanation:
What is the length of RS?
RA
Figure not drawn to scale
OA. 8
0 в.
O C. 16
OD. 20
10
16
Applying the Pythagoras Theorem, the length of RS = 8 units.
According to the figure,
Diameter = 16 +4 = 20 units
So, the Radius = Diameter/2 = 20/2 = 10 units
Now,
Let the center be M, then
MT = 10 - 4 = 6 units
RT = x units
The radius is perpendicular to the chord,
So, MTR will be a right-angled triangle,
We will apply the Pythagoras theorem,
So, we have :
[tex]RT^{2} +TM^{2} =RM^{2}[/tex]
Here, RT = x units
TM = 6 units and RM = radius = 10 units
Putting these values in the Pythagoras theorem,
[tex]x^{2} +6^{2} =10^{2}\\x^{2} + 36 = 100 \\x^{2} = 100 - 36 = 64\\x^{2} = 64 \\x = 8[/tex]
Thus, the length of RS = 8 units.
To read more about Pythagoras's theorem, visit https://brainly.com/question/343682
#SPJ9
Consider the rate law below. R=k(NO2)^2 what happens to the rate if the concentration is tripled?The rate increases by a factor of 9.The rate decreases by a factor of 6.The rate triples.The rate doubles.
The rate increases by a factor of 9 when the concentration is tripled.
It is given to us that the rate law is -
[tex]R=k(NO_{2} )^{2}[/tex] ----- (1)
We have to find out the change in the rate if the concentration is tripled.
When the concentration is tripled, we can rewrite the equation (1) as -
[tex]R_{new} =k(3*NO_{2} )^{2}\\= > R_{new} =9*k(NO_{2} )^{2}\\= > R_{new} =9R[/tex][From equation (1)]
Thus, we see that the rate increases by a factor of 9 when the concentration is tripled.
To learn more about factors visit
https://brainly.com/question/24182713
#SPJ9
2. 18 = 4a + 10Solve equations
a=2
Explanation
[tex]18=4a+10[/tex]Step 1
subtract 10 in both sides
[tex]\begin{gathered} 18=4a+10 \\ 18-10=4a+10-10 \\ 8=4a \end{gathered}[/tex]Step 2
divide each side by 4
[tex]\begin{gathered} 8=4a \\ \frac{8}{4}=\frac{4a}{4} \\ 2=a \\ a=2 \end{gathered}[/tex]. The volume of the prism is 45 cubic inches.What is the length of each side?
Given:
The volume of the cubic prism is 45 cubic inches.
Let the side length = x
So,
[tex]volume=x^3=45[/tex]Taking the cubic root of 45
[tex]x=^3\sqrt[]{45}\approx3.557[/tex]So, the answer will be the side length = 3.557 inches
Hi I’m confused on this question an I need help.
PLS
A gaming system costs $600 and is on sale for 25% off. After the discount, there is a 5% tax. What is the final price of the gaming system?
O $450.00
O $472.50
O $150.00
O $157.50
Answer:
b) $472.50
Step-by-step explanation:
The sale price will be,
→ (600/100) × (100 - 25)
→ 6 × 75
→ $450
Now the final price will be,
→ 450 + ((450/100) × 5)
→ 450 + (4.5 × 5)
→ 450 + 22.5
→ $472.50
Hence, the price of $472.50.
The final price of the gaming system is $472.50, which is the correct answer would be option (B).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
A gaming system costs $600 and is on sale for 25% off. After the discount, there is a 5% tax.
To determine the final price of the gaming system, we need to first calculate the discount and then add the tax.
The discount is 25% of the original price, or 25% x $600 = $150.00.
So the price after the discount is $600 - $150 = $450.00.
The tax is 5% of the price after the discount, or 5% x $450 = $22.50.
Therefore, the final price of the gaming system is $450 + $22.50 = $472.50.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground)minutes after takeoff is modeled byh(t) = −3+^2 + 12t +96Alicia wants to know when the drone will land on the ground.1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number inthe equation.h(t) =2) How many minutes after takeoff does the drone land on the ground?
a.
Function:
[tex]h(t)=-3t^2+12t+96[/tex]Factoring -3, we have:
[tex]\begin{gathered} h(t)=-3t^2+12t+96 \\ h(t)=-3(t^2-4t-32) \end{gathered}[/tex]Middle term facotizing the term inside parenthesis:
[tex]\begin{gathered} h(t)=-3(t^2-4t-32) \\ h(t)=-3(t-8)(t+4) \end{gathered}[/tex]This is the factored form.
b.
h(t) is the height.
When it lands on the ground, the height (h(t)) is 0, so we have:
[tex]\begin{gathered} h(t)=-3(t-8)(t+4) \\ 0=-3(t-8)(t+4) \end{gathered}[/tex]If we solve this equation for t, we get the line drone lands on the ground.
Let's do this:
[tex]\begin{gathered} -3(t-8)(t+4)=0 \\ t=8,-4 \end{gathered}[/tex]Time can't be negative, so the solution is t = 8 seconds.
Answer:
h(t) = -3(t-8)(t+4) and 8 minutes
Step-by-step explanation:
Enjoy ur answer have a great day please mark as brainliest :D !!!
Amelia is saving up to buy a new $105 iPad pen. Her best friend gave her $12 and she saves $20 per week from her babysitting job. How many weeks will she have to save money in order to buy the iPad? Write an inequality to solve.
EXPLANATION
Let's see the facts:
Ipad pen cost = -$105
Best friend ----> +$12
---------------
-$93
Babysitting Saves +$20/week
We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:
$93 = 20 $/week * number of weeks
Calling x to the number of weeks and turning this into an inequality:
12 + 20x ≥ 105
Subtracting -12 to both sides:
20x ≥ 105-12
Simplifying:
20x ≥ 93
Dividing both sides by 20:
x ≥ 93/20
Simplifying:
x ≥ 4.65
Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.
A rectangular garden has an area of 360 square feet.
The length of the garden is 9 feet longer than the
width. Find the dimensions of the garden in feet.
24 ft by 15 ft
24 ft by 15 ft or -24 ft by - 15 ft
O 33 ft by 24 ft
49 ft by 40 ft
Answer:
24 ft by 15 ft
Step-by-step explanation:
Let l be the length of the garden. Then
l - 9 is the width of the garden.
[tex]l(l - 9) = 360[/tex]
[tex] {l}^{2} - 9l = 360[/tex]
[tex] {l}^{2} - 9l - 360 = 0[/tex]
[tex](l - 24)(l + 15) = 0[/tex]
[tex]l = 24[/tex]
[tex]l - 9 = 15[/tex]
(since l + 15 = 0 will give a negative value for l).
So the dimensions of this garden are 24 ft and 15 ft.
whats 4x4x4x4x4 so yea
8th grade math
Subject in math: comparing ratios and graphs
The ratio of the graph X: Y is 1:9.
What is a straight-line graph?
The graph follows a straight-line equation shows a straight line graph.
equation of a straight line is y=mx+cy represents the vertical line y-axis.
x represents the horizontal line x-axis.
m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)
Straight-line graphs show a linear relationship between the x and y values.
Calculation:-
The slope of X = 10/100 = 1/10
The slope of y = 90/100 = 9/10
Therefore the ratio of X: Y
= 1/10 × 10/9
= 1:9
Learn more about straight-line graphs here:-https://brainly.com/question/19040584
#SPJ1
6 13/36 simplify and write it as a mixed number
convert measured 202g to ounces?
Given the measure:
202 grams
Let's convert the measure from grams to ounces.
Apply the standard metrics measure, where:
1 gram = 0.035274 ounce
Thus, we have:
202 grams = 202 x 0.03527 = 7.125 ounces.
Therefore, the converted measure in ounces is 7.125 oz
ANSWER:
7.125 oz
A national standard requires that public bridges over 20 foot in length must be inspected and rated overy 2 yours. The rating scalo ranges from 0 (poorest rating) to 9 (highost rating). A group of engineers used aprobabilistio model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the enginoors forecast that 8% of all major bridges in that city will have ratings of 4 or below. Comploto parts aand bea. Use tho forecast to find the probability that in a random sample of 8 major bridgos in the city, at least 3 will have an inspection rating of 4 or below in 2020,PIX23) - (Round to five decimal places as needed.)
We can solve the problem by using the probability binomial distribution model. The formula is:
[tex]P(X=x)=(^n_x)p^xq^{n-x}[/tex]Recall that:
[tex](^n_x)=^nC_x[/tex]Given:
number of samples(n) = 8
x = 3
8% of all major bridges in that city will have ratings of 4 or below implying that the probability of a bridge having a rating of 4 or below is 0.08.
Hence,
[tex]\begin{gathered} p\text{ = 0.08} \\ q\text{ = 1-p } \\ q\text{ = 1-0.08} \\ q\text{ = 0.92} \end{gathered}[/tex]The probability that in a random sample of 8 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020 would be:
[tex]\text{Probability of at least 3 = 1 - Probability of at most }2[/tex]Probability of at most 2 can be reduced to:
[tex]P(x\text{ }<\text{ 3) = P(x =2) + P(x = 1) + P(x = 0)}[/tex]Evaluating the expression, we have:
[tex]\begin{gathered} P(x\text{ }<3)=^8C_2(0.08)^2(0.92)^{8-2}+^8C_1(0.08)^1(0.92)^{8-1}+^8C_0(0.08)^0(0.92)^{8-0} \\ =\text{ 0.10866 + 0.35702 + }0.51322 \\ =\text{ 0.9789}0 \end{gathered}[/tex]The probability that at least 3 will have a rating of 4 and below:
[tex]\begin{gathered} P(x\text{ }\ge3)\text{ = 1 - P(x }<\text{ 3)} \\ =\text{ 1 - 0.97890} \\ =\text{ 0.02110} \end{gathered}[/tex]Answer:
0.02110
1. On a clearance rack, t-shirts cost $5 and shorts cost $9. You have $35 to spend. Write an equation
that models the possible combinations of t-shirts, t, and shorts, s, you can buy.
The inequality that represents the situation is [5x + 9y ≤ 35] where x and y are the number of t-shirts and shorts purchased.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
The majority of the time, size comparisons between two numbers on the number line are made.
So, we know that:
The T-shirts cost $5.
The shorts cost $9.
The total budget is $35.
Then, the inequality can be:
5x + 9y ≤ 35
Where x and y are the number of t-shirts and shorts purchased.
5(3) + 9(2) ≤ 35
15 + 18 ≤ 35
33 < 35
Therefore, the inequality that represents the situation is [5x + 9y ≤ 35] where x and y are the number of t-shirts and shorts purchased.
Know more about inequality here:
https://brainly.com/question/28964520
#SPJ1
Correct question:
On a clearance rack, t-shirts cost $5 and shorts cost $9. You have $35 to spend. Write a correct inequality that models the possible combinations of t-shirts, t, and shorts, s, you can buy.
Recalculate the area of a sector of a circle
r = 0.5 dm and v = 135°
Use π ≈ 3.14 and round the answer to one decimal place.
Answer: A = ? dm2
The area of the sector of the circle is about 0.3 dm².
What is a circle?A circle is a two-dimensional figure made up of points that are spaced out from a fixed point (center) on the plane by a fixed or constant distance (radius).
Given that, the radius of the circle is r = 0.5 dm and the angle of the sector is v = 135°
The sector area of the circle is given by:
A = (v/360°) × πr²
Substitute the values:
A = (135°/360°) × (3.14)(0.5)²
A = 0.375 × 3.14 ×0.25
A = 0.3
Hence, the area of the sector of the circle is about 0.3 dm².
Learn more about circles:
https://brainly.com/question/11833983
#SPJ1