Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )
= a × - [tex]\frac{3}{5}[/tex] b
= - [tex]\frac{3}{5}[/tex] ab
(b)
3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy
= 15x³y³ - 12xy²z
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
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
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
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
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?
Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.
Given :
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.
To Find :
How many mugs did Jack make if he had 28.88 lbs of clay left over.
Solution :
Clay required to make 1 mug, r = 0.72 lbs.
Amount of clay left after making sculpture is, T = 28.88 lbs.
Now, number of clay mug Jack can make is :
[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]
Since, number of mug cannot be in decimal, so we take the floor value.
Therefore, number of mug that can be prepared is 40 .
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)
El agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura. Luego se embotella en bidones de 2.5 litros. ¿Cuántos envases se llenan con cada depósito?
Answer:
Con cada depósito se pueden llenar 3,617.28 envases.
Step-by-step explanation:
Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:
3.14 x (12x12) x 20 = X
3.14 x 144 x 20 = X
452.16 x 20 = X
9,043.2 = X
9,043.2 / 2.5 = X
3,617.28 = X
Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.
Can someone give me the answer this question
Answer:
x = 16
Step-by-step explanation:
We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:
(Angle 1) + (Angle 2) = 180°
(8x - 10) + (62) = 180°
8x + 52 = 180
8x = 180 - 52
8x = 128
x = 16
Therefore, x = 16
Hope this helps!
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
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.
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%.
Why are the coordinates of the fountain? Show your work
Answer:did u ever get it
Step-by-step explanation:
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.
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!! :)
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]
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
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
answer correct and fast
Hello there I hope you are having an great Day :)
1) 32780ml = 32.78
2) 37 1/2% of 24 = 9
Hopefully that helps you :)
please help me!
a) 280in2
b) 300in2
c) 150in2
d) 100in2
Answer:
C) 150
Step-by-step explanation:
I need the answer ASAP
Answer:
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
g^2+g^2=24^2
2g^2=576
g^2=576/2
g^2=288
g=[tex]\sqrt{288}[/tex]
g=12[tex]\sqrt{2}[/tex]
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
You randomly roll a number cube (single die).
What is the probability that you roll a 4.
Group of answer choices
2/3
6
1/6
4/5
Answer:
The probability that you will roll a 4 is 1/6
Step-by-step explanation:
A basic number cube has 6 sides.
Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6
The 4 is only on one out 6 of the sides so it is 1/6 probability
Please considering pressing the thank you button if it helped.
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer:
the second one
Step-by-step explanation:
formula of slope , if angle is give
Answer:
formula of slope if angle is given:
Tan (angle given)
Step-by-step explanation:
Please help!!! Will give brainliest to the first correct answer!
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
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!!What is the range of the function graphed below?
Answer:
C.
[tex] - \infty < y < \infty [/tex]
THE 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.
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
Find each missing measure.
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.