Multiplication:-
a. 7/3 × 2/9 = 7x2/3x9 = 14/27.
b. 3/7 × 5/11 = 3×5/7×11 = 15/77.
c. 15/8 × 6/25 = 3×3/4×5 = 9/20.
d. 21/20 × 15/14 = 3×3/4×2 = 9/8.
Division:
a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4
b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10
c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16
d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.
Culcul constant des fractions:
a. 3/7 + 15/7 x 3/2
= 3/7 + 45/14
= (3 x 2) / (7 x 2) + 45/14
= 6/14 + 45/14
= 51/14
b. 9/5 x (1/4 - 5/12)
= 9/5 x [(1 x 3) / (4 x 3) - 5/12]
= 9/5 x (3/12 - 5/12)
= 9/5 - 2/12
= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)
= 108/60 - 10/60
= 98/60
= (2x 49) / (2 x 30)
= 49/30.
c. (3/8 + 7/5) ÷ (9/4 - 5/3)
= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]
= (15/40 + 56/40) ÷ (24/12 - 20/12)
= 71/40 ÷ 4/12
= 71/40 x 12/4
= 852/160
= (4 x 213) / (4 x 40)
= 213/40.
Hope this helps..
Evaluate the expression:
2/3-1/4+(-5/6)
Answer:
[tex] \\ \frac{2}{3} - \frac{1}{4} + \frac{( - 5)}{6} [/tex]
[tex] \\ = \frac{2}{3} - \frac{1}{4} - \frac{5}{6} [/tex]
[tex] \\ = \frac{8 - 3 - 10}{12} [/tex]
[tex] \\ = \frac{8 - 13}{12} [/tex]
[tex] \\ = \frac{ - 5}{12} [/tex]
A store buys 14 sweaters for $154 and sells them for $448. How much profit does the store make per sweater?
Answer:
Profit = $21
Step-by-step explanation:
14 sweaters = $154
Cost of 1 Sweater = 154 ÷ 14
= $11
New Cost for 14 Sweaters = $448
New Cost of 1 Sweater = 448 ÷ 14
= $32
Profit Per Sweater = 32 - 11
= $21
Full Profit = 448 - 154
= $294
Answer:
21
Step-by-step explanation:
21
Find the pair of integers that has a product of –12 and a sum of 1.
Answer:
X = -4, Y = 3
Step-by-step explanation:
x * y = -12
x + y = 1
X = 4, Y = -3
NO TIME TO EXPLAIN
Mimi is making cookies fo her family reunion. Each batch of cookies calls for 1 1/2 cups of chocolate chips. She makes 3.5 batches. How many cups of chocolate chips does she use?
Answer:
5 and 1/4 cups of chocolate chips
what is the value of this expresston 3(s^3-6s) + 4t^2 when s=5 and t=3
Answer:
321
Good Luck!!
If S = 1/2, what number does 4s equal?
Step-by-step explanation:
If [tex]s=\frac{1}{2}[/tex], then:
[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
To know more about multiplication:
https://brainly.com/question/1135170
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divide: 994.14 ÷ 18.9
Answer:
52.6?
Step-by-step explanation:
Step-by-step explanation:
[tex] \\ 994.14 \div 18.9[/tex]
[tex] \\ = \frac{99414}{100} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \div \frac{189}{10} [/tex]
[tex] \\ = \frac{49707}{50} \times \frac{10}{189} [/tex]
[tex] \\ = \frac{263}{5} [/tex]
[tex] \\ = 52.6[/tex]
Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups. Group startsTrue or False
Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False
Univariate statistical tests are statistical test that are used to observe a single variable. We can have one or more independent variables but we study only one dependent variable.
So, univariate statistical tests are not most appropriate for testing hypotheses that compare the characteristics of two groups.
So, Univariate statistical tests are most appropriate for testing hypotheses that compare the characteristics of two groups is False
Learn more about univariate statistical tests here:
https://brainly.com/question/13415579
Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use
Answer:
40
Step-by-step explanation:
Is 9/12 somehow related to the fractions "4/5","3/4" and "2/3"?
State the connection or how to get 9/12 from those fractions pls
Answer:
3 / 4
Step-by-step explanation:
9 = 3 x 3
12 = 3 x 4
9 / 12
= ( 3 x 3 ) / ( 3 x 4 )
= 3 / 4
Answer:
3/4
Step-by-step explanation:
9= 3×3
12= 3×4
9/12
= (3×3) / (3×4)
= 3/4
100 POINTS PLEASE
PLEASE BRAINLIEST
Here
NB||NAShow sum of interior angles is 180°
[tex]\\ \sf\longmapsto <NBA+<NAB=180[/tex]
[tex]\\ \sf\longmapsto <NAB+103=180[/tex]
[tex]\\ \sf\longmapsto <NAB=180-103[/tex]
[tex]\\ \sf\longmapsto <NAB=77°[/tex]
Vertical angles are supplementary
We need m<NAB
180-m<NBA180-10377°What’s the value of x in this equation?
Answer:
20
Step-by-step explanation
trust me
Answer:
x = 20
Step-by-step explanation:
(5x + 35) + 45 = 180
These angles are opposites to each other so you know that together they equal 180.
Start off by adding 35 and 45. This gives you...
5x + 80 = 180
Then subtract by 80 giving you...
5x = 100
Then divide by 5. This gives you...
x = 20
I hope that this helps!!!
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
You are finding the total distance of a road trip by measuring the distance on a map. On the map the distance between 3 towns measure 2 7/16 inch, 1 5/8 inch, and 3 3/4 inch, repectively. What is the total distance of the trip on the map?
Answer:
The answer would be 7 and 13/16
Step-by-step explanation:
Hope this helps.
Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?
Please choose one of these choices.:
A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.
Answer:
A.
Step-by-step explanation:
If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it
La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de grados cada hora, ¿qué temperatura tenía el congelador al completarse la primera hora?
En este problema observamos que la temperatura del congelador desciende linealmente con el paso del tiempo, es decir, conforme al siguiente modelo:
[tex]T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t[/tex] (1)
Donde:
[tex]T_{o}[/tex] - Temperatura inicial, en grados Celsius.[tex]\Delta T[/tex] - Cambio total de la temperatura, en grados Celsius.[tex]\Delta t[/tex] - Cambio total en el tiempo, en horas.[tex]t[/tex] - Tiempo, en horas.Si sabemos que [tex]T_{o} = 3\,^{\circ}C[/tex], [tex]\Delta T = -12\,^{\circ}C[/tex]. [tex]\Delta t = 3\,h[/tex] y [tex]t = 1\,h[/tex], entonces la temperatura del congelador al completarse la primera hora es:
[tex]T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)[/tex]
[tex]T(1\,h) = -1\,^{\circ}C[/tex]
El congelador tenía una temperatura de -1 °C a la primera hora.
Invitamos cordialmente a ver esta pregunta sobre temperaturas: https://brainly.com/question/21677542
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A
2
A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I
Answer:
There are 14 teachers per student
Step-by-step explanation:
students per teacher =
students / teachers
students: 84
teachers 6
84 / 6 = 14
Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).
Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:
Answer:
[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.
[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]
At this point we have everything, let's replace and write down the line in a better looking form
[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]
8
-8
4
4
-8
The dotted figure is a dilation of the solid figure. What is the scale factor?
Can someone please help meeee!!!!
Answer:
1/2
Step-by-step explanation:
in the below figure point A is (8,-4)
and shifted A is (4, -2)
it is half of original
for B (4,4) ---> (2,2)
for C (-4,4) ----> (-2,2)
so scale factor is 1/2
how to determine if two functions are inverses of each other
Answer:
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
Step-by-step explanation:
Suppose you have two functions f(x) and g(x). If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other. Similarly with f(x) as argument of g(x).
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
plz help will mark as brainliest
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
if you and your friends want food and if you have 2 friends and you buy one pizza and the pizza has 9 pieces how many pieces of pizza does each person get?
Answer: 4 1/2 slices/friend
Step-by-step explanation:
One pizza = 9 slices
9 slices/2 friends = 4 1/2 slices/friend
Answer:
3
Step-by-step explanation:
because 9×3=3
2 friends and me
Which expression is equivalent to -2( x-7 )?
Answer: -2x+14
Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14
Answer: -2x+14
and have a bless day
let's find out the principle in the following cases also calculate the amount.
a) I = RS 336, T = 2 years, R = 10•5% per year
please give me answer
I need it fast as possible
Step-by-step explanation:
I = 336
T = 2
R = 10.5 = 10½ = 21/2
I = PRT/100
336 = (2 x 21 x P)/(100 x 2)
336 = 21P/100
21P = 33600
P= 33600/21
P=1600
Amount = 1600 + 336 = 1936
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Each friend will pay 13.60 dollars.
Step-by-step explanation:
68/5 is 13.6
Planes S and R both intersect plane T .
Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane.
Which statements are true based on the diagram? Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y
Answer:
B,D,E
Step-by-step explanation:
Answer:
B- The line containing points A and B lies entirely in plane
C-Line z intersects plane S at point C.
E-Planes R and T intersect at line y.
Step-by-step explanation:
Ed2022
divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining
Answer:
72
Step-by-step explanation:
If it wrong i'm sorry
If you type 75 words in 3 minutes at what rate do you type?
29 students made the honor roll on their first quarter report card this quarter there were 40 students who achieved at the server determine the percent of change and whether it is an increase or decrease