Answer:
15a - 12
Step-by-step explanation:
7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1
= 7a - 4 [ 2 - 2a + 1 ]
= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4
= 7a + 8a - 12 ← collect like terms
= 15a - 12
Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2. 5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5. 5 m. Let t = 0 be 12:00 am. Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.
Answer:
A cosine function would be a simpler model for the situation.
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
A sine model would require a phase shift, while a cosine model does not.
edge 2022
hope it helps :)
The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
The lenghts of the sides of a small cube are 1/4 ft each.
Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)
Answer:
See belowStep-by-step explanation:
Dimensions given:
l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ftA small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
Length
2 1/4 : 1/4 = 9/4 * 4 = 9Width
1 : 1/4 = 1 *4 = 4Height
1 1/4 : 1/4 = 5/4 * 4 = 5Part A
Number of small cubes would be:
9*4*5 = 180Part B
Each small cube has volume:
V = (1/4)³ = 1/64 ft³The volume of the prism in terms of small cubes is 180 as we found above.
The volume in terms of unit cube:
V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³The 17th term of an arithmetic sequence is 30, and the common difference is 4. Find the 16th term
30
34
26
24
The 17th term of the arithmetic series would exceed the 16th term by the common difference
17th term = 16th term + 4
Hence the 16th term is 30 - 4 = 26
Factorize: 2ay + 10ax - 3by - 15bx
Answer:
(2a-3b)(y+5x)
Step-by-step explanation:
2ay + 10ax - 3by - 15bx
2a(y+5x)-3b(y+5x)
(2a-3b)(y+5x)
Answer:
(y+5x) (2a - (3b))
Step-by-step explanation:
2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)
2a (y+5x) + 3b (-y - (5x))
(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)
Java 1
Question 16
Examine the following code:
int count = 0;
while ( count <= 6 )
{
System.out.print( count + " " );
count = count + 3;
}
System.out.println( );
What does this code print on the monitor?
a. 1 2 3 4 5 6
b. 0 1 2 3 4 5 6
c. 0 3 6
d. 0 1 2 3 4 5
e. 0 3
Answer:
the answer is c.036
Step-by-step explanation:
it can't be a, b or d because count is being increased by 3 and not 1. And it can't be e because the loop is <= and not < so when the count is 6 it is still in the loop. So it will show the 6 as well
passes thru (2,-1) with slope of 6
Answer:
y = 6x - 13
Step-by-step explanation:
Desmos guess and check :)
Answer:
y = 6x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 , then
y = 6x + c ← is the partial equation
To find c substitute (2, - 1 ) into the partial equation
- 1 = 12 + c ⇒ c = - 1 - 12 = - 13
y = 6x - 13 ← equation of line
What is the distance between 10 and 17 on the number line?
Find the difference:
17 - 10 = 7
So the distance between 10 and 17 is 7 on a number line.
how to write and express without exponents in standard form 5.1 X 104?
Answer:
156
1.56×10²
after you get your answer move the decimal however many spaces to where you only have one number before the decimal then you multiply it by 10 in your square root is however many times do you move the decimal
Write the equation of the line in slope-intercept form that passes through (-3, -5) and (0, 4).
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )
m = [tex]\frac{4-(-5)}{0-(-3)}[/tex] = [tex]\frac{4+5}{0+3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = 3x + 4 ← equation of line
Help please (50 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
R3. alternate interior angles
( alternate interior angles are always congruent )
S4. AC = CA
R5. ASA triangle congruence property
( you have 2 angles and the included side, so you know they're congruent )
lmk if you want an actual explanation
5. Given no other restrictions, what are the domain and range of the following function?
f(x) = x2 – 2x + 2
OD= all real numbers
R = {yl y> 1}
OD = {xx> 1}
R= all real numbers
OD = all real numbers
R= {yly<1}
OD = {x|x>0}
=
R = all real numbers
Answer:
Step-by-step explanation:
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
Sebastian compares toy car prices at three different store so he can get the best deal for his little brother's Christmas gift.
a. Toys R Us – 5 cars for $6.25
b. Walmart – 10 cars for $12.64
C. Target-2 cars for $2.76
Which store has the best unit rate?
Simplify.
√44
O 4√40
O 2√11
O 2√22
o 4√11
Answer:
It is the second option
[tex]2 \sqrt{11} [/tex]
AMMA
Richard owned n cows
Ellis had exactly 4 times as many cows as Richard,
Richard buys 13 extra cows.
Ellis sells 9 of his cows
Ellis still has more cows than Richard
Form an inequality, in terms of n
Solve the inequality to find the least value of n
You must show all your working
Answer:
n ≥ 8
Step-by-step explanation:
Let R and E stand for the number of cows owned by Richard and Ellis, respectively.
We are told that:
R = n
E = 4n
Then:
R = n+13 [Bought 13 cows]
and
E = 4n-9 [Sold 9 cows]
Still:
E > R [Ellis still has more cows]
Therefore:
4n-9 > n+13
3n > 22
n > 7 1/3
Since no rancher wants 1/3 of a cow, we need to round either up or down to a whole number. The least value of n is therefore 8 cows or higher. Since 8 is a valid number, change the > inequality to ≥.
n ≥ 8
What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38
Answer:
21.5
Step-by-step explanation:
Make sure they are in order.
A median is basically (or literally) the number in the middle of the data set.
In this case, it is 19 and 24. To get the middle number, you have to:
Add the two numbers and divide them by 2.
19 + 24 = 43
43/2 = 21.5
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
The answer to the question is n+1
(4+14) divided by 9 ???????
Answer:
2
Step-by-step explanation:
4+14=18
18/9=2
3+1-4+7=?
I need help with this
Answer:
Step-by-step explanation:
first step: 3 + 1 = 4
second step: 4 - 4 = 0
third step: 0 + 7 = 7 (the answer is 7 )
Plzzzz help meeeeee plzzzzzzz
the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120
Answer:
120
Step-by-step explanation:
To find the answer, multiply 300 with 0.40
To confirm this answer, divide 120 by 0.40
What is the domain of this function?(9,–2)(6,–10)(–3,9)(5,2)
Answer:
{−9,−5,2,6,10Step-by-step explanation:
One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
this we use in the second
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she worked 14 hours on job A and 9 hours on job B.
FLOORING Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
A I think yup it's A good luck
Step-by-step explanation:
Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
Jackie, Maria, and Nadia all live on the same straight road. Jackie marks the location of Maria's home and the location of Nadia's home on a number line, using her own home's location as 0.
She marks Maria's home at −10.7 and Nadia's home at 4.9.
What is the distance between Maria's home and Nadia's home on Jackie's number line?
Enter your answer as a decimal in the box.
Answer:
15.6
Step-by-step explanation:
10.7+4.9=15.6
Answer:
15.6
Step-by-step explanation: I took the test
Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?
Answer:
19:74
Step-by-step explanation:
74-55=the people sitting on floor=19
19:74
I NEED ANSWER ASAPPPP
boy-7/12
girl-5/12...................
NEED ANSWER QUICKLY PLEASE
1.25 as a fraction is what
Answer:
5/4
Step-by-step explanation: