Answer:
x < -6
Step-by-step explanation:
[tex]\frac{x}{4} < -1.5[/tex]
to isolate x, multiply both sides by 4
[tex](4) \frac{x}{4} < -1.5 (4)[/tex]
which gives you:
x < -6
Maya, Ahmad, and Joe served a total of 75 orders Monday at the school cafeteria. Joe served 2 times as many orders as Maya. Ahmad served 5 fewer orders
than Maya. How many orders did they each serve?
Total number of orders served by Maya, Ahmad and Joe on Moday = 75
Let the number of orders Maya served be x.
Then :
Number of orders Joe served = 2x
Number of orders Ahmad served = x - 5
This can be written in an equation as :
[tex] \tt \: 2x + x - 5 + x = 75[/tex]
[tex] = \tt 4x - 5 = 75[/tex]
[tex] = \tt 4x = 75 + 5[/tex]
[tex] = \tt 4x = 80[/tex]
[tex] = \tt \: x = \frac{80}{4} [/tex]
[tex] = \tt \: x = 20[/tex]
Which means :
Number of orders Joe served :
= 2 × 20
= 40
Thus, Joe served 40 orders.
Number of orders Maya served = 20
Number of orders Ahmad served :
= 20 - 5
= 15
Thus, Ahmad served 15 orders.
Therefore, Maya served 20 orders Ahmad served 15 ordersJoe served 40 orders.
Find the solution to the system of equations below.
2y = 2x - 8
2x + y = 5
Answer:
The solution to the system of equations is:
(x, y) = (3, -1)The graph is attached below.
Step-by-step explanation:
Given the system of equations
[tex]2y = 2x - 8[/tex]
[tex]2x + y = 5[/tex]
Let us solve the system of equations using the elimination method
[tex]\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}[/tex]
Multiply y + 2x = 5 by 2: 2y + 4x = 10
[tex]\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}[/tex]
subtracting the equations
[tex]2y+4x=10[/tex]
[tex]-[/tex]
[tex]\underline{2y-2x=-8}[/tex]
[tex]6x=18[/tex]
solve 6x = 18 for x
[tex]6x=18[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}[/tex]
simplify
[tex]x=3[/tex]
For 2y - 2x = -8 plug in x = 3
[tex]2y-2\cdot \:3=-8[/tex]
[tex]2y-6=-8[/tex]
Add 6 to both sides
[tex]2y-6+6=-8+6[/tex]
Simplify
[tex]2y=-2[/tex]
Divide both sides by 2
[tex]\frac{2y}{2}=\frac{-2}{2}[/tex]
Simplify
[tex]y=-1[/tex]
Therefore, the solution to the system of equations is:
(x, y) = (3, -1)The graph is attached below.
Alyssa estimates that her school's gym can hold 660 students. It actually has 750 seats. What is the percent error of her estimate?
Answer: 13.64%
Step-by-step explanation:
Alyssa estimates that the gym can hold 660 students even though it can hold 750.
Her percent error is calculated by:
= (Actual seats - Estimated seats) / Estimated seats
= (750 - 660) / 660
= 90 / 660
= 0.1364
= 13.64%
Error Analysis: Identify the error. Be as specific as possible.*
1/3(x-9)=3
1/3 x-3=3
1/3 x=6
X=2
Answer:
18
Step-by-step explanation:
1/3(x-9)=3
x-9=3/(1/3)
x-9=(3/1)/(1/3)
x-9=(3/1)(3/1)
x-9=9/1
x-9=9
x=9+9
x=18
mary has 42 peanuts frank has 22 peanuts how many fewer peanuts does frank have
Answer:
42 - 22 = 20
Mary has 20 more peanuts than Frank.
Answer:
20
Step-by-step explanation:
42-22=20
Maths question, will mark Brainliest! Find the area of a circle with a radius of 4.
Answer:
8[tex]\pi[/tex]
Step-by-step explanation:
area=[tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex][tex]4^{2}[/tex]
16[tex]\pi[/tex]
since it is a semicircle, cut that number in half.
Answer:
25.12units squared
Step-by-step explanation:
A = [tex]\frac{\pi r^2}{2}[/tex] or [tex]\frac{3.14r^2}{2}[/tex]
r = 4
3.14 x 4^2 = 50.24
50.24/2 = 25.12
If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.
[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)
Answer:
3.5%
Step-by-step explanation:
Given data
A=$6225
P=$5000
T= 7years
R=???
Simple interest
A=P(1+rt)
substitute
6225=5000(1+7r)
6225=5000+35000r
collect like terms
6225-5000=35000r
1225=35000r
r= 1225/35000
r=0.035
Hence the rate is 0.035*100= 3.5%
A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. The total cost of the coach's order is less than $125.00. What inequality can be used to determine the greatest number of hats, h, the coach orders
Answer: 11
Step-by-step explanation:
Based on the information that have been given in the question, we can use the information to form an inequality which goes thus:
5 + 9.95h < 125
9.95h < 125 - 5
9.95h < 120
h < 120/9.95
h < 12.06
h < 12
Therefore since h is less than 12, the greatest number of hat that can be ordered will be 11.
The probability of tails of a weighted coin is 0.8. The number of tails is noted each of the 20 times the coin is tossed. If this procedure is repeated 75 times, what type of distribution is simulated?
Answer:
A sampling distribution of the sample proportion with n = 20 and p = 0.8
Step-by-step explanation:
We are given that
The probability of tails of a weighted coin, p=0.8
n=20
We have to find the type of distribution is simulated if this procedure repeated 75 times .
Random variable is a proportion of number of tails therefore, type of distribution is sampling distribution of the sample proportion.
We have n=20 and p=0.8
Hence, we can say that type of distribution is simulated is given by
A sampling distribution of the sample proportion with n = 20 and p = 0.8
Answer:
I chose answer D. A binomial distribution with n=20 and p=0.8, No clue if correct or not
Step-by-step explanation:
Find the compound interest earned on £2300 invested for 12 years at 7% per annum
Answer:
$1932
Step-by-step explanation:
12x 7 = 84
84% of 2300 = 1932
Please help I can’t do this
1/8= 12 true or false
Answer:
False
Step-by-step explanation:
1/8 = 0.125
12 = 12
0.125 and 12 do not match; the expression is false.
my little bro need help 7th grade math
4( ?m - ?n)
8m - 20n
Answer:
it would be 2m and 5n
Step-by-step explanation:
because 4 * 2 is 8 for m
and 4*5 is 20 for n
Answer:
4(2m - 5n)
4×2m - 4×5n
8m-20n
Therfore ans are 2m and 5 n
PLSSS HELP QUICK !!!!!what is the area of this figure?
Answer:
2,560
Step-by-step explanation:
multiplication
For a walk-a-thon a sponsor committed to give you a flat free of $5 plus $2 for every mile m you walk
Answer:
$45
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW;
For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?
$5 was given for participants of the walk-a-thon.
$2 was given for every miles won
Then, for "y" number of miles, the the amount that can be won is ( 2×y)= 2y
The Total amount that can be given
= (5 + 2y)
Where "y" is the miles value
Then, if you walk for 20 miles, The Total amount that can be given
= 5 + 2(20)
= 5+ 40
= $45
please help!!! i need help!
Answer:d
Step-by-step explanation:
distrubition lol
3^x+1 +3^x-1=270
Solve for x
Answer:
x=4.464974
Step-by-step explanation:
enter the value of x that makes the equation true 12x=3
Answer:
12 x1/4 or 12x.25=3
Step-by-step explanation:
you can pick between 1/4 or 0.25 they both equal 3
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.
Given:
The LCM of two numbers is 14 times their HCF.
The sum of LCM and HCF is 600.
One number is 280.
To find:
The other number.
Solution:
Let HCF of two numbers be x.
The LCM of two numbers is 14 times their HCF.
LCM = 14x
The sum of LCM and HCF is 600.
[tex]14x+x=600[/tex]
[tex]15x=600[/tex]
[tex]x=\dfrac{600}{15}[/tex]
[tex]x=40[/tex]
So, HCF = 40 and the LCM is
[tex]LCM=14(40)[/tex]
[tex]LCM=560[/tex]
We know that, if a and b are two numbers, then
[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]
One number is 280.
[tex]280\times b=560\times 40[/tex]
[tex]b=\dfrac{560\times 40}{280}[/tex]
[tex]b=2\times 40[/tex]
[tex]b=80[/tex]
Therefore, the other number is 80.
Help me with this problem I will give brainliest
Answer:
x=3
Step-by-step explanation:
Just a random Question I will give you a brainiest if you answer
Which fractions are more than a whole?
a) 9/10
b)15/7
c)12/8
Answer:
b
Step-by-step explanation:
Answer:
Would it be b) 15/7
Step-by-step explanation:
A box has a length of 4 2/3 inches. How many 1/3 inch cubes would it take to cover the length of the box
Which regression equation best fits these data?
Answer:
Step-by-step explanation:
No, the answer is y=-0.30x2-0.48x+15.83
Due in 1 hour, plz help
Answer:
1. 12/1= rate of change
Step-by-step explanation:
1.
1 mile= 30 seconds
(1,30)
6 miles= 1 1/2 minutes
6 miles=90seconds
(6,90)
Formula: y2-y1/x2-x1
90-30/6-1
60/5
12/1= rate of change
hope its right
Find the sum of x2 + 3x and -2x2 + 9x + 5.
Answer: 15
Step-by-step explanation:
hey! please help on this question i'll give brainliest <333 .
Answer:
go to photo math on your phone it will help you and please give me brainleist
Step-by-step explanation:
There are 1,775 pennies in Isaiah’s jar. If 25 pennies are needed to fill a bag, how many whole bags can Isaiah fill?
Answer:71
Step-by-step explanation:1775/25
Answer:
71 bags
Step-by-step explanation:
Each bag: 20 pennies
Pennies count: 1775
Final Answer: 71 bags
Explain:
1775 / 25 = 71
Jenny bought gas for her car gas cost $3.45 per gallon Jenny bought 12.5 gallons what was the total of Jenny's gas
Answer: $43.13
Step-by-step explanation:
The cost of a gallon of gasoline is $3.45.
Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:
= Cost of a gallon * number of gallons purchased
= 3.45 * 12.5
= $43.13
Answer:
43.14
Step-by-step explanation:
Can someone please help
Answer:
2 or b
Step-by-step explanation:
What does it mean
for one variable to be dependent on another
variable
Answer:
The variables in a study of a cause-and-effect relationship are called the independent and dependent variables. The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Step-by-step explanation: