Answer:
b. 70+90=160
180-160=20°
a. 180-(20+90)
180-110=70
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!
What Is PI.
Don't Cheat Or No Points
Answer:
2.14159265358979323846264338327930288419716939937510582097494459230
Step-by-step explanation:
there's a song that I know
what is 664,000 dived by 555,897
Answer:
I got 1.19446588127
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.
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
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.
In the diagram shown to the rig m
if f(x) = x^3+2x^2-5, then what is f(-3)
Answer:
f(- 3) = - 14
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x), that is
f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14
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
f(x) = - X2 + 6x - 11.
Answer:
×=11/4
Step-by-step explanation:
0=-2x+6x-11
0=4x-11
-4x=-11
x=11/4
Just please help me Solve for h 2x+y=rh
Answer:
[tex]h = \frac{2x+y}{r}[/tex]
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]
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.
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
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
questions in photo pls help me its due tomorrow.
Step-by-step explanation:
Hey there!
Given;
[tex] {2}^{4x - 1} =32 [/tex]
[tex] {2}^{4x} . {2}^{ - 1} = {2}^{5} [/tex]
[tex] {2}^{4x} . \frac{1}{2} = {2}^{5} [/tex]
[tex] {2}^{4x} = {2}^{5} . {2}^{1} [/tex]
[tex] {2}^{4x} = {2}^{6} [/tex]
[tex]4x = 6[/tex]
[tex]x = \frac{6}{4} [/tex]
[tex]x = \frac{3}{2} [/tex]
7.)
[tex] \sqrt{x} - 3 = 7[/tex]
[tex] \sqrt{x} = 7 + 3[/tex]
[tex]( { \sqrt{x}) }^{2} = {(10)}^{2} [/tex]
X= 100
8.)
[tex]( {x + 1)}^{2} = 81[/tex]
[tex](x + 1) = \sqrt{81} [/tex]
[tex]x + 1 = \sqrt{ {9}^{2} } [/tex]
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
X=8
Hope it helps...
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
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:
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
Slope interceptand standard Form of y - 4 = 3/4(x + 3)
Answer:
y= 3/4z + 25/4
Step-by-step explanation:
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
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:
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
The equation y=2x+10 describes the monthly cost to rent a movie at the local
video kiosk, where x represents the number of movies rented and y represents the
total cost. Find and describe the slope of this relationship.
Answer:
its a anwser
Step-by-step explanation:
22+2 = 187
when x=-4, what is the value of g(x)
Answer:
just fill in -4 for x so it would be g(-4)
Step-by-step explanation:
Happy Halloween
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
4x+8y=20 and -2x+y=-15
System of equations?
Answer:
a
Step-by-step explanation:
PLEASE HELP IM CHECKING MY ANSWERS!!!
Answer:
y=5x
Step-by-step explanation:
yes your correct
A)
10 POINTS!! HELP ASAP!! What is the length of AC?
Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values
[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
Answer:
D. 144
Step-by-step explanation:
Triangle BAC is similar to triangle DEC, so you can set up a ratio:
[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]
Then cross multiply
84x = 7 (156 - x)
84x = 1092 - 7x
Add 7x to both sides.
91x = 1092
Divide both sides by 91.
x = 12
AC = 156 - x
AC = 156 - 12
AC = 144