Answer:
B
Step-by-step explanation:
A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks. If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?
Answer:
20 chairs
Step-by-step explanation:
Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which s represents the number of chairs, and we simply solve for s.
800 = 320 + 24s ... subtract both sides by 300
500 = 24s ... divide both sides by 24
20.83 = s
Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.
Answer:
The librarian can buy a maximum of 20 chairs to stay within the budget.
Step-by-step explanation:
The total budget is:
T = 800
From that budget, he spends 320 on desks (D), so he has the remaining amount to buy chairs (C):
[tex] C = 800 - 320 = 480 [/tex]
Since each chair costs 24, and he has 480 he can buy the following number of chairs:
[tex] n = \frac{C}{24} = \frac{480}{24} = 20 [/tex]
Therefore, the librarian can buy a maximum of 20 chairs to stay within the budget.
I hope it helps you!
Which of the values below will make -3x + 15 > 102 true?
A. -27
B.-28
C. -29
D. All of the above
Answer:
C. -29Step-by-step explanation:
[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]
Write the following equation in slope -intercept form : y - 3 = 4(x + 2)
Answer:
y=4x+11
Step-by-step explanation:
multiply 4 into the parentheses to get y-3=4x+8 then invert -3 so add three to both sides to get rid of it so instead of +8 its +11 so now its y=4x+11 and slope intercept is y=mx+b, so 4 is m, slope, and 11 is b, the y intercept i hope that helps
Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet.
Part A: What is the greatest number of bouquets she can make?
(Include the numerical answer only.)
Answer:
8
Step-by-step explanation:
make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.
PLEASE HELP IM CHECKING MY ANSWERS!!!
Answer:
y=5x
Step-by-step explanation:
yes your correct
A)
What are all the equivalent representations of 10 x 10 x 10
Answer:
10³
no need to thank me, it was easy
f(x) = - X2 + 6x - 11.
Answer:
×=11/4
Step-by-step explanation:
0=-2x+6x-11
0=4x-11
-4x=-11
x=11/4
Gabriela Mistral was a poet, diplomat, teacher and humanitarian. Each week she worked a certain amount of days as a poet diplomat teacher and humanitarian. This ratio was one day as a poet to one day as a diplomat to three days as a teacher to two days as a humanitarian how many days must she work as a humanitarian if she works 12 days as a teacher?
Answer:
Gabriela Mistral works as a humanitarian for [tex]8[/tex] days.
Step-by-step explanation:
Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.
Ratio is [tex]1:1:3:2[/tex]
Let [tex]x[/tex] denotes total number of days Gabriela Mistral work.
As she works 12 days as a teacher,
[tex]\frac{3}{7}x=12\\ x=\frac{7}{3}(12)\\ x=28[/tex]
Total number of days [tex]=x=28[/tex]
So,
she works as a humanitarian for [tex]\frac{2}{7}x=\frac{2}{7}(28)=8[/tex] days.
The average price of gas cost $3.27 per gallon in the year 2008. In 2020 the average price of gas is $2.15. What is the percent decrease?
Answer:
34.2508% decrease
Step-by-step explanation:
Percent decrease = 100 x (starting value-new value/starting value)
100 x ((3.27 - 2.15)/3.27)
Answer:
$1.12
Step-by-step explanation:
$3.27-$2.15=$1.12
$1.12 + $2.15= $3.27
Help!!! what is -6+x+4=-5
Answer:
x = -3 (yes that's negative 3)
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
[tex] \sf \: x = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6 + x + 4 = -5
Then the value of x will be,
→ -6 + x + 4 = -5
→ x + (-6 + 4) = -5
→ x + (-2) = -5
→ x - 2 = -5
→ x = -5 + 2
→ [ x = -3 ]
Hence, the value of x is -3.
4. In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters
number of toonies
1
16
2
20
24
a. Fill in the table.
Answer:
If 16 quarters is equal to 2 toonies, then 1 quarter is;
16 : 2
1 : x
16x = 2
x = 2/16
x = 1/8 toonies
20 quarters would therefore be;
= 1/8 * 20
= 2.5 toonies
24 quarters would be;
= 1/8 * 24
= 3 toonies
Just please help me Solve for h 2x+y=rh
Answer:
[tex]h = \frac{2x+y}{r}[/tex]
BRAINLIEST +16 points
(Plz respond before 11:59 and an explanation would be very appreciated)
7:
For a cylindrical grain silo, the dimensions are shown in the picture
provided. The weight in pounds, W, of the grain silage inside is generally given by..
W = 3300(40 - d), where d is the distance in feet from the top of the grain to the
top of the silo.
a.
-Use the distributive property to simplify the equation.
-Suppose d = 15 feet. What is the weight of the grain silo?
Answer:
we know that
volume of a grain silo=volume of a cylinder+volume of a hemisphere
volume of a grain silo=17000 ft³
volume of a cylinder=pi*r²*h
h=30 ft
volume of a cylinder=pi*r²*30----> 30*pi*r² ft³
volume of a hemisphere=(2/3)*pi*r³
so
17000=30*pi*r²+(2/3)*pi*r³-----> multiply by 3---> 51000=282.60*r²+6.28*r³
6.28*r³+282.60*r²-51000=0
using a graph tool
see the attached figure
the solution is
r=11.942 ft-------> r=11.9 ft
the answer is
The radius of the silo is 11.9 ft
4. Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?
Answer:
To be honest i dont even know
Step-by-step explanation:
ummmm
4x+8y=20 and -2x+y=-15
System of equations?
Answer:
a
Step-by-step explanation:
How to factor y^3 +2y^2 + 2y + 1
Answer:
Step-by-step explanation:
P(y) = y³ + 2y² + 2y + 1
P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1
= -1 + 2 - 2 + 1
= 0
As, P(-1) = 0, (y + 1) is a factor.
Use synthetic division or remainder theorem.
-1 1 2 2 1
0 -1 -1 -1
1 1 1 0
quotient = y² + y + 1
y³ + 2y² + 2y + 1 = ( y + 1) (y² + y + 1)
will make brainllest plz nobody who doesn't know how to solve these answer.
show work
2,4,6,8,10
assig 9
Step-by-step explanation:
its to much but i solved only 2 i hoped i help
Keith has 500 in his bank account. He earns $25 per week. He wants to have at least $740 in his Account at the end of the summer. How many weeks Miss Keith work?
Answer:
9 more weeks
Step-by-step explanation:
because if you do 740-500 you get 240
so then i divide 240 by the money per week (25) and
get 9.6 so it is 9 weeks
what is 664,000 dived by 555,897
Answer:
I got 1.19446588127
HELP!
A stack of lumber is 6 feet wide, 4 feet high, and 2 feet long.
What is the volume of the stack?
What Is PI.
Don't Cheat Or No Points
Answer:
2.14159265358979323846264338327930288419716939937510582097494459230
Step-by-step explanation:
there's a song that I know
In the diagram shown to the rig m
Which of the following is the correct value for x
The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
Answer:
The probability is [tex]P(R) = 0.0583 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that selected adults are affected by virus is p = 0.004
The probability that adults are not affected by virus is [tex]q= 1- p = 1-0.004 = 0.996[/tex]
The sample size is n = 15
Generally from the question we are told that
The probability that the combined sample tests positive is equal to the probability that at least one person test positive for the virus
So
The probability that the combined sample tests positive for the virus is equal to
1- the probability that non of the adults selected tested positive for the virus
Generally the probability that non of the adults selected tested positive for the virus is
[tex]P(k) = q^n[/tex]
=> [tex]P(k) = q^{15}[/tex]
=> [tex]P(k) = 0.996^{15}[/tex]
=> [tex]P(k) = 0.9417 [/tex]
The probability that the combined sample tests positive for the virus is mathematically represented as
[tex]P(R) = 1 - P(k)[/tex]
=> [tex]P(R) = 1 - 0.9417 [/tex]
=> [tex]P(R) = 0.0583 [/tex]
PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer: Domain is [1,3], Range is [304,391]
Step-by-step explanation:
Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]
Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]
Kate is baking pies for the teachers lunch at her school. She plans to give every teacher 16of a pie. She decides to bake10 pies.
Answer:
the answer is 260
Step-by-step explanation:
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What
is the slope of the line that passes through the points?
O 2
O 3
06
09
Answer:
2
Step-by-step explanation:
slope= change of y/change of x
slope=6/3=2
what point is on the graph of f(x) =6^x
Answer:
The point (1 | 6) is on the graph.
Step-by-step explanation:
Answer:
it is 1/6
Step-by-step explanation:
Need help asap!!!!
What is the coefficient for 9x=18?
Answer:
If ur looking for the answer for x then its 2
Step-by-step explanation:
9 times 2 = 18
there u go