Answer: a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit
Step-by-step explanation:
Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He wants to know how many ounces of liquid each measuring cup can hold. He first filled a 80 ounce mixing bowl with 8 large cups and 4 medium cups of liquid. 4 large cups and 12 medium cups of liquid. How many ounces each cup holds?
Answer:
L = 16oz
M = 12oz
S = 8oz
Step-by-step explanation:
8 large equal to 128oz ( 8 x 16 = 128 )
4 medium equal to 48oz ( 4 x 12 = 48
4 large equal to 64oz ( 4 x 16 = 64
12 medium equal to 144oz ( 12 x 12 = 144 )
Total of oz equal 384oz
384 - 80 = 304/80 = 3.8
3 more bowl of 80oz and 5 Mcup and 1/2 Scup
Which linear equation has a slope greater -1 but less than 0?
1. 5x+4y=20
2. 4x+5y=20
3. 5x-4y=20
4. 4x-5y=20
Answer:
2. 4x + 5y = 20
Step-by-step explanation:
Determine the slope of each of the equations;
y = mx + c
where;
m is the slope
In each of the given equations, make y the subject of the formula
1. 5x + 4y = 20
4y = 20 - 5x
y = (20/4) - (5x/4)
y = 5 - 5x/4
m = -5/4
2. 4x + 5y = 20
5y = 20 - 4x
y = 4 - 4x/5
m = -4/5 = -0.8
3. 5x - 4y = 20
4y = 5x - 20
y = 5x/4 - 5
m = 5/4
4. 4x - 5y = 20
5y = 4x - 20
y = 4x/5 - 4
m = 4/5
The question says, which of the slope is greater than - 1 but less than 0
- 1 < m < 0
The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8
formula of slope , if angle is give
Answer:
formula of slope if angle is given:
Tan (angle given)
Step-by-step explanation:
Which series is convergent? Check all that apply.
Answer:
The convergent series are;
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
(And)
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
Step-by-step explanation:
A series in mathematics is the sum of a sequence of numbers to infinity
A convergent series is a series that sums to a limit
From the given options, we have;
First option
[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]
As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges
Second option
[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]
As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges
Third option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]
As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fourth option
[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]
As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges
Fifth option
[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]
As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.
Answer:
C and D
Step-by-step explanation:
Edge 2021
please help me!
a) 280in2
b) 300in2
c) 150in2
d) 100in2
Answer:
C) 150
Step-by-step explanation:
Evaluate the expression for w = 1/6
1/2w + 3=
Answer:
37/12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
1/2w + 3
w = 1/6
Step 2: Evaluate
Substitute in w: 1/2(1/6) + 3Multiply: 1/12 + 3Add: 37/12THE SUM OF A NUMBER, X
AND 9 is 21.
SOLVE FOR X.
Answer:
X + 9 = 21
Isolate the variable, meaning getting rid of the constants
-9 -9
X = 12
Answer:
12
Step-by-step explanation:
To get the answer 12 you must:
Subtract 21 - 9
That would get you your answer.
The mean room temperature from Monday to Saturday is 25oC and the mean room temperature of Saturday and Sunday is 28oC. if the mean room temperature from Monday to Sunday is 26oC, find the room temperature on Saturday
Answer:
We can conclude that the room temperature on Saturday was 24°C
Step-by-step explanation:
For a set of N values:
{x₁, x₂, ..., xₙ}
The mean of the set is calculated as:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case, our set is the temperature of 7 days (so we have 7 elements)
{T₁, T₂, T₃, T₄, T₅, T₆, T₇}
Such that:
T₆ = temperature on Saturday
T₇ = temperature on Sunday.
We know that:
"The mean room temperature from Monday to Saturday is 25°C"
Then:
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]
"the mean room temperature of Saturday and Sunday is 28°C"
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
"The mean room temperature from Monday to Sunday is 26°C"
[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]
So we have 3 equations.
Let's rewrite:
T₁ + T₂ + T₃ + T₄ + T₅ = A
Then we can rewrite our equations as:
[tex]\frac{A+ T_6}{6} = 25 C[/tex]
[tex]\frac{T_6 + T_7}{2} = 28C[/tex]
[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]
Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:
A + T₆ = 6*25
T₆ + T₇ = 2*28
A + T₆ + T₇ = 7*26
We now need to solve that system for T₆
The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:
A = 6*25 - T₆
A = 150 - T₆
Now we can replace this on the other two equations:
T₆ + T₇ = 2*28
(150 - T₆ ) + T₆ + T₇ = 7*26
Now, let's isolate T₇ in the top equation to get:
T₇ = 2*28 - T₆
T₇ = 56 - T₆
Now we can replace this in the last equation to get:
(150 - T₆ ) + T₆ + (56 - T₆) = 7*26
Now, we can solve this for T₆
150 - T₆ + T₆ + 56 - T₆ = 182
-T₆ = 182 - 150 - 56
-T₆ = -24
T₆ = 24
We can conclude that the room temperature on Saturday was 24°C
i put 10 points please help me with this
Answer: X=6 Y=4
x+y= 10
6+4=10
x-y=2
6-4=2
Answer:
x=6
y=4
Step-by-step explanation:
Use an elimination method:
add equation 1 and 2 together.
2x = 12
divide both side by 2
x = 12/2
x = 6
use equal 1,
x + y = 10
y = 10 - x
y = 10 - 6
y = 4
If 2x + 4 = 10. What is the value of x
Answer:
x=3
Step-by-step explanation:
You subtract the 4 from +4 d +10 and then you left with 2x=6
Then you divide the numbers both by 2 so you are left with x=3.
Have a nice day!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
2x + 4 - 4 = 10 - 4
2x ÷ 2 = 6 ÷ 2
x = 3
Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.
Determine the arc length of SR. Use mathematics to explain how you determined your answer
Has photo ❤️
Answer:
18.84feet
Step-by-step explanation:
Length of an arc = rtheta
radius r = 9feet
theta = SR= 120°
Convert theta to radians
theta = 120π/180
theta= 2π/3
Length of the arc = 9 * 2π/3
L = 18π/3
L = 6π
L = 6(3.14)
L = 18.84feet
Hence the length of the arc is 18.84feet
Math riddle!
A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
Answer:
47
Step-by-step explanation:
There are total 52 cards.
Certain number of cards are lost.
When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .
When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .
When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .
The common number among the three is 47.
what is 3 5/15+2 2/5
PLS HELP!!
Answer:
5.73
Step-by-step explanation:
I hope that's help u
Answer:
5 11/15
Step-by-step explanation:
Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer:
the second one
Step-by-step explanation:
Use the Function f(x)=6x-1 Which equation correctly describes f(b)?
a.) f(b)=6b-1
b.)= f(b)=6bx-1
c.)f(x)=6b-1
d.) b=6x-1
Answer:
a
Step-by-step explanation:
To obtain f(b) substitute x = b into f(x) , that is
f(b) = 6(b) - 1 = 6b - 1
f(x) and f(b) are very similar. The only difference is that in every place where x is in the function, we now will plug in b. This is just like plugging in a number. For example, if our function was f(x) and we had to plug in 4, it might look something like this: f(4). Very similar, and we know how to plug that number in.
Let's do the same thing with b.
f(x) = 6x - 1
f(b) = 6b - 1
Hope this helps!! :)
Jeremy constructed this solid by combining two rectangular prisms and a square pyramid.
A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.
What is the surface area of this figure?
_____________ square meters
320
322
368
386
Answer:
368 square meter
Step-by-step explanation:
just guessing
Answer:368
I got it right
Help please I need help
Answer:
The range is 8.
Step-by-step explanation:
The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.
9 - 1 = 8
Have a nice day!
and tell me if I am wrong.
PLEASE HELP ME ASAP !! EXPLAIN UR ANSWER
Question 9 options:
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
30,125 × ( 3 )^2 =
30,125 × 9 =
271,125 yd^2
Find the value of y !!
Answer:
y ≈18.8
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
y^2 +18^2 = 26^2
y^2 +324=676
y^2 = 676-324
y^2 =352
Taking the square root of each side
sqrt(y^2) = sqrt(352)
y is approximately 18.76
y ≈18.8
What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
ANSWER ASAP PLEASE!!! TY:)
Answer:
Volume of triangular prism is given by formula
Volume of triangular prism = (Area of the base) x 12 (height of the prism)
now plug the given values
216= (area of the base) x 12
216/12 = area of the base
18= area of the base
so, the answer is 18 square cm
can someone pls pls help me ?
Answer: Dime
Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.
50 + 25 = 75 cents.
75 + 10 = 85 cents.
A half-dollar + a quarter + a dime = 85 cents.
I hope this helps!
Pls Help!! I'll MARK YOU BRAINLIEST but please explain
Answer:
x<16
it's the last one
Step-by-step explanation:
Multiply both sides of the inequality by
then move the constant to the right hand side and
change it's sign and
subtract by four
The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]
The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:
[tex]H_0: \mu = 1250[/tex]
A tenant group thinks that the apartments are smaller than advertised.
Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:
[tex]H_a: \mu < 1250[/tex]
Returns on stock X are listed below: Period 1 2 3 4 5 6 7 Stock X 6% 5% -2% 10% 3% 8% -4% What is the mean of the data?
Answer:
The mean of the data is of 3.7143%.
Step-by-step explanation:
Mean of the data:
Sum of all returns divided by the number of returns.
Returns:
6% 5% -2% 10% 3% 8% -4%
7 returns.
Sum: 6 + 5 - 2 + 10 + 3 + 8 - 4 = 26%
Mean: 26%/7 = 3.7143%
The mean of the data is of 3.7143%.
Factor and find the zeros of the relation.
(c.) y = 30x^2 + 44x + 16
(d.) y = 10x^2 +60x + 80
Answer:
Step-by-step explanation:
c.
y= 30x² +44x +16
factor
y= 2 (15x² +22x +8)
find zeros
15x²+22x+8=0
ax²+bx+c=0
x= (-b±√(b²-4ac))/2a
x= -22±√484-480/30 = -22±2/30 = -11±1/15
there are 2 zeros x= -10/15 ; x= -12/15
d.
y= 10x² +60x +80
factor
y= 10(x²+6x+8) = 10( x+2)(x+4)
finding zeros
x+2 =0 so x= -2
x+4 =0 so x= -4
there are 2 zeros x= -2; x= -4
PLEASE HELP WILL GIVE BRAINLIST
Answer:
B
Step-by-step explanation:
∠ 3 and ∠ 8 are alternate angles and are congruent, then
6x + 3 = 4x + 29 ( subtract 4x from both sides )
2x + 3 = 29 ( subtract 3 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 → B
A football feild is about 100 m long if it takes a person 20 seconds to run its length how fast (what speed) were they running???? Please help
Answer:
5m a second
Step-by-step explanation:
Answer:
5 mps
its simple, all you have to do is times 5 meters by 20 seconds and you get 100 meters. so its 5 mps. (sorry i explained it kinda weird)
how many times larger is the 3 in 3,612 as in 1,347
Answer:
2700
Step-by-step explanation:
3 in 3612 is thousands
3in 1347 is hundreds
3000 - 300
= 2700
please help me im gonna have to do this over again if i get it wrong
[tex]1\frac{1}{2}[/tex] [tex]batches[/tex]
➛➛➛➛➛
[tex]\frac{1/2}{1} =\frac{3/4}{x}[/tex]
[tex]\frac{1}{2} =\frac{3}{4x}[/tex]
[tex]cross~multiply[/tex]
[tex]4x=2(3)[/tex]
[tex]\frac{4x}{4} =\frac{6}{4}[/tex]
[tex]x=\frac{3}{2} =1\frac{1}{2}[/tex]
✂----------------hope it helps...have a great day!!