Question 3 (1 point)
(03.01 MC)
Which expression is equivalent to 2(9 + 7)? (1 point)
18 + 14
18+7
11+9
11+7
Answer:
18+14
Step-by-step explanation:
2×9=18 and 2×7=14
18+14 :)
Karen earns $5 by delivering newspapers each week. She saves $3 and she spends the rest. How many weeks will it take her to save enough money to buy a $35 gift card?
Answer:
give me 1hour
Step-by-step explanation:
Jane is a computer science major planning to take 4 courses next semester. She is planning to take 2 computer science courses and 2 courses from other areas. How many different schedules can she build?
Answer: 24 schedules.
Step-by-step explanation:
Given data:
Courses planning to take = 4
Computer courses = 2
Courses from other areas = 2
Solution:
This problem can be solved using permutation.
For Computer science courses.
npr = n! / ( n - r )!
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
For other courses.
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
Jane can have a total of 24 different schedules.
Amy, Justin, and Henry sent a total of 70 text messages during the weekend. Justin sent 10 fewer messages than Amy. Henry sent 2 times as many messages as Amy. How many messages did they each send?
Answer:
justin 10+ Amy 20 + henry 40+ do answer would be 10+20+50=70
explanation
I took justin and timed it by two then half of 20 is 10 then timed it by two again which 20*2 is 40
add it all together and you get 70
Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
System of equationsThese type of equation consists of equation with unknown variables.
Let the number of messages sent by amy be x
Let the number of messages sent by Justin be y
Let the number of messages sent by Henry be z
If the total number od mesages sent is 70, hence;
x + y + z = 70
If Justin sent 10 fewer messages than Amy, then;
y = x - 10
If Henry sent 2 times as many messages as Amy, then;
z= 2x
Substitute
x + x - 10 + 2x = 70
4x = 70 + 10
4x = 80
x = 20
Recall
y = x - 10
y = 10
Also z = 2x
z = 2(20)
z = 40
Hence Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.
Learn more on system of equation here: https://brainly.com/question/13729904
#SPJ2
You and your four friends have $25 to spend on snacks. A medium size popcorn costs $2.50 and a medium soft drink costs $1.50. Write and graph an inequality that represents the numbers of medium boxes of popcorn and medium soft drinks you can buy.
Answer:
Step-by-step explanation:
Step one:
given
Total money at hand=$25
cost of one popcorn=n $2.5
cost of drink= $1.5
total number of friends plus you= 4+1= 5
let the total amount spent be y
y= 5(2.5)+5(1.5)
y=12.5+7.5
y=20
The above shows that $20 is enough to cover the expenses, and there will be a balance of $5
A
rope
cut off?
is 3m long. If 25% is cut off, how many com was
25% of 3
Answer:
0.75meters
Step-by-step explanation:
25% of 3 is 0.75
Plz mark me brainliest
Shannon makes and sells picture frames. She charges different rates depending on the material she uses for the frame. Shannon sold a frame for $45. Which type of frame did Shannon sell? Use the drop-down menus to show and explain your answer.
Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.
STEP BY STEP EXPLANATION:
I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.
if the supply and demand functions for a commodity are given by p-q=10 and q(2p-10)=2100, what is the equilibrium price and what is the corresponding number of units supplies and demanded
Answer:
If p - q = 10, then p = 10 + q. Replace the other p with this:
q(2(10 + q) - 10) = 3600
q(20 + 2q - 10) = 3600
q(10 + 2q) = 360
The equilibrium point of a demand and supply function is the point where both functions are equal.
The equilibrium price is 40, and the corresponding demand is 30 supplies
Given
[tex]p- q = 10[/tex] --- the supply function
[tex]q(2p - 10) = 2100[/tex] --- the demand function
Make q the subject in [tex]p- q = 10[/tex]
[tex]q = p - 10[/tex]
Substitute [tex]q = p - 10[/tex] in [tex]q(2p - 10) = 2100[/tex]
[tex](p - 10)(2p - 10) = 2100[/tex]
Factor out 2
[tex]2(p - 10)(p - 5) = 2100[/tex]
Divide both sides by 2
[tex](p - 10)(p - 5) = 1050[/tex]
Open brackets
[tex]p^2 -10p - 5p + 50 = 1050[/tex]
[tex]p^2 -10p - 5p + 50 - 1050 =0[/tex]
[tex]p^2 -15p - 1000 =0[/tex]
Expand
[tex]p^2 -40p + 25p- 1000 =0[/tex]
Factorize
[tex]p(p -40) + 25(p- 40) =0[/tex]
Factor out p - 40
[tex](p+ 25) (p- 40) =0[/tex]
Solve for p
[tex]p = -25[/tex] or [tex]p = 40[/tex]
The price cannot be negative.
So: [tex]p =40[/tex]
Recall that:
[tex]q = p - 10[/tex]
[tex]q = 40 - 10[/tex]
[tex]q = 30[/tex]
Hence, the equilibrium price is 40, and the corresponding number of supplies is 30
See attachment for the graphs of both functions
Learn more about equilibrium price and quantity at:
https://brainly.com/question/11161357
In RST, R = 23* and S = 136*. Which list has the sides of RST in order from shortest to longest?
RS, TR, ST
TR, ST, RS
ST, RS, TR
ST, TR, RS
TR, RS, ST
RS, ST, TR
Answer:
RS, ST, TRStep-by-step explanation:
The third angle measures:
T = 180° - (136° + 23°) = 21°Angles and opposite sides are:
S = 136° → TRR = 23° → STT = 21° → RSThe greater the angle, the greater the opposite side, therefore the sides in increasing order will be:
RS, ST, TRYou buy butter for $3 a pound.
One portion of onion compote requires 1.7 oz of butter.
How much does the butter for one portion cost? Round to the nearest cent.
There are 16 ounces in one pound.
Set up a proportion and solve for x.
3/x = 16/1.7
16x = 3(1.7)
16x = 5.1
x = 5.1 ÷ 16
x = 0.31875
Rounding to the nearest cent, we get 30 cents.
HURRY PLEASE!! I NEED TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
i need the equation you used to solve it with also!
Answer:
Step-by-step explanation:
3x-11+6x-10+x=180
10x-21=180
10x=201
x=20,1
solve the following expression for p.
Answer:
9 that what p stands for hope it help
Step-by-step explanation:
PLEASE HELP MEEE If there are 83 men and 17 women. What percentage of women are there
Answer: 17%
Step-by-step explanation: 83+17 = 100, 17/100 = 0.17 = 17%
Help ASAP!!!! The bill for dinner at Island's was $56.98 If we would like to leave a 20% tip for the waiter, how much money should we leave for a tip?
a
$11.40
b
$20.00
c
$11.30
d
$5.70
Answer:
$11.40
Step-by-step explanation:
make the percent a decimal and multiply the total by the percent in decimal form
56.98*0.20=11.396
then round to the nearest tenth
11.40
ELP ME PLEASE WILL GIVE BRAINLIEST IF QUICK
Answer:
x = 24
y = 10
z = 17
Step-by-step explanation:
4z - 32 = 36
4z = 68
z = 17
6x - 29 = 115
6x = 144
x = 24
36 + 115 = 151
180 - 151 = 29
3y - 1 = 29
3y = 30
y = 10
Find the range for the observations,5.6,7.1,8.3,3.7,6.8,4.1,8.4,2.7,4.4,8.2,2.8
Answer:
the range is 8-1=7
Step-by-step explanation:
Solve for X...........
Answer:
x = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
A box on an angle signifies a 90° angleAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x° + 90° + 30° = 180°
Step 2: Solve for x
Combine like terms: x + 120 = 180Subtract 120 on both sides: x = 60°Solve for the distance between the points (0, -9) and (-4, 3).
What is the length of line with endpoints (5,-7) and (5,11)
Answer:
18 units
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
What is the product?
2 x [-1/0]
Answer:
=38
Step-by-step explanation:
Answer:
It's C [-2 0]
Step-by-step explanation:
If you multiply the product [-1 0] both by 2 you get [-2 0]
Which relationship is always true for the angles x, y, and z of triangle ABC?
a
x + z = y
b
y + z = x
c
x + y + z = 180 degrees
d
x + y + z = 90 degrees
James ran 4 laps and walked 2 laps when running his average speed was 2.5 minutes per lap when walking his average speed was 4.9 minutes per lap how long did it take james to complete the 6 laps
Answer:11.1 I believe?
Step-by-step explanation:
Forgive me if I am wrong.
Answer:
14.8
Step-by-step explanation:
im gessing thats what it is
a company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The larger cones are 5.1 inches tall and have a diameter of 4.5. inches. About how much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone?
9514 1404 393
Answer:
18.8 cubic inches
Step-by-step explanation:
The formula for the volume of a cone is useful:
V = 1/3πr²h
Where r is half the diameter, we can use r=d/2 to write this in terms of diameter:
V = 1/3π(d/2)²h = (π/12)d²h
For the given dimensions, the volumes are ...
large cone: v = (π/12)(4.5 in)²(5.1 in) ≈ 27.04 in³
small cone: v = (π/12)(3 in)²(3.5 in) ≈ 8.25 in³
Then the difference in volume is ...
(27.04 -8.25) in³ ≈ 18.8 in³
The larger cone has about 18.8 cubic inches more volume.
estimate the different by rounding each number to the nearest tenth : 0.68-0.17
Answer:
0.5
Step-by-step explanation:
0.68 - 0.17
0.68 ≈ 0.7
0.17 ≈ 0.2
0.7 - 0.2 = 0.5
If 7 toothpaste tubes cost 40.50 how much does one tube cost?
Answer:5.78
Step-by-step explanation: It is 5.78 bc do 40.50 divided by 7 and you will get your answer
Brainliest please???
Answer:
Each tube costs about $5.79.
Step-by-step explanation:
To find the cost of each tube, divide the total cost by the total number of toothpaste tubes.
40.50/7 = 5.785714286 which approximates to 5.79
Find the distance between the points (4,-3) and (5,1)
Distance =
Answer:
d = sqrt(17)
Step-by-step explanation:
d = sqrt( x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )
d = sqrt( (-1)^2 + (-4)^2 )
d = sqrt ( 1 + 16)
d = sqrt(17)
What is -3/4 + 2 3/4
3 1/2
3 3/4
2 1/2
2
Answer:
2
Step-by-step explanation:
Answer:
Fourth Option
Step-by-step explanation:
In order to find the answer to this question you need to change the mixed number into a improper fraction and then add by finding the least common denominator (LCD).
[tex]-\frac{3}{4} +2\frac{3}{4}[/tex]
Convert into improper fraction:
[tex]2\frac{3}{4} =4\times2=8+3=11[/tex]
[tex]-\frac{3}{4} +\frac{11}{4}[/tex]
Since how the denominators are the same you can just add numerators:
[tex]-3+11=8[/tex]
[tex]=\frac{8}{4}[/tex]
Reduce:
[tex]8\div4=2[/tex]
[tex]4\div4=1[/tex]
[tex]=\frac{2}{1}[/tex]
[tex]\frac{2}{1} =2[/tex]
Hope this helps.
Answer each part. If necessary, round your answers to the nearest hundredth.
(a) Joe bought 13 pounds of rice for $7. How many pounds of rice did he get per dollar? pounds per dollar
(b) At Smith's Bike Rentals, it costs $29 to rent a bike for 6 hours. How many hours of bike use does a customer get per dollar? hours per dollar
Step-by-step explanation:
a) 13=$7
x=$1
(do cross multiplication)
13=7x
x=1.86 pounds
A total of 356 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold
Answer:
x + 3x = 356
4x = 356
x = 356/4 = 89.
answer: 89
Step-by-step explanation:
hopefully this helped :)
Simplify (5^1/3)^3
A) 5^3
B) 1/5
C) 5
D) 5^9
Use the rule (a^b)^(c) = a^(bc).
[5^(1/3)]^(3)
5^(1/3)(3)
5^(1)
Answer: 5