Step-by-step explanation:
3)
No. of wooden boxes is less than 9
x< 9
No. of plastic boxes is not more than 10
y ≤ 10
Weight equation
Wood box 6 kg Plastic box 3 kg total 36 kg
which means that the weight that can be carried must be greater than or equal to the actual weight
6x + 3y ≥ 36
Volume equation
Wood box 0.25 m² Plastic box 0.5 m² total 3 m²
which means that the capacity of boxes must be greater than or equal to the capacity of actual load
0.25x + 0.5y ≥ 3
4) Let the no. of RM100 tickets be x and no. of RM150 tickets be y
no. of RM100 tickets is more than no. of RM150 tickets.
x > y
Total price exceeds 3000
100x + 150y > 3000
The low temperature on Monday was 16°F. On Tuesday, the low was 18°F cooler. On Wednesday, the low temperature was –4 times Tuesday’s low.
Which of the following expressions can be used to describe the low temperature on Wednesday? Select all that apply.
16 + (–18)(–4)
16(4) + (–8)
(16 – 18)(–4)
[16 + (–18)](–4)
Answer:
[tex]-4(16-18)[/tex], [tex][16 + (-18)](-4)[/tex]
Step-by-step explanation:
Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.
To find: expression that can be used to describe the low temperature on Wednesday
Solution:
Temperature on Monday = 16°F
So,
Temperature on Tuesday = [tex](16-18)\°F[/tex]
Temperature on Wednesday = [tex]-4(16-18)\°F[/tex]
So, expression [tex]-4(16-18)=(16-18)(-4)[/tex] can be used to describe the low temperature on Wednesday.
Also,
[tex](16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}[/tex]
So, expression [tex][16 + (-18)](-4)[/tex] also represent temperature on Wednesday.
Answer:
(16 – 18)(–4)
[16 + (–18)](–4)
Step-by-step explanation: Answers for Edge
i really dont understand what to do here if you can please help
Answer:
see below
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x+60 + 3x-40 = 180
Combine like terms
8x +20 = 180
Subtract 20 from each side
8x+20-20=180-20
8x= 160
Divide by 8
8x/8=160/8
x=20
5x+60 = 5*20+60 = 160
3x-40 = 3*20-40 = 20
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.
ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U. If the incenter of 4KW U lies on circle ω2, find the length of W U. (Note: The incenter of a triangle is the intersection of the angle bisectors of the angles of the triangle)
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
If you add the distributive property and combine like terms to 2(x+3)+5x=3(2x-1) what is the result of these steps?
Answer:
x=-9
Step-by-step explanation:
2x+6+5x=6x-3
7x+6=6x-3
7x-6x=-3-6
x=-9
Answer:
x= -9
Step-by-step explanation:
2(x+3)+5x=3(2x-1)
2x+6+5x=6x-3
7x+6=6x-3
7x-6x= -3-6
x= -9
) An important factor in solid missiles fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometres) distribution is characterized by () = 3−4 , > 1, = 0, ℎ. (i)Verify that f(x) is a density function, find (ii)( = 1 2 ), (iii) ( > 1), (iv) ( > 1.5/ > 1), (v) (2 ≤ < 4).
Answer:
see attachments
Step-by-step explanation:
If triangle ABC is congruent to triangle DEF, then BC is congruent to DE.
False
True
Answer: False
Step-by-step explanation:
If ABC is congruent to DEF, then BC is congruent to EF.
And A would be congruent to D.
find the slope of the line that passes through (17, -1) and (98, 84). 25 points Brainly
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:[tex]\frac{85}{81}[/tex]
Step-by-step explanation:
To find the slope of a line, you would use [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex].
We use out coordinates to plug into this equation.
[tex]\frac{84-(-1)}{98-17} =\frac{85}{81}[/tex]
Answer:
[tex] = \frac{85}{81} [/tex]
Step-by-step explanation:
[tex](17 \: \: \: \: \: - 1) = > (x1 \: \: \: \: \: \: y1) \\ (98 \: \: \: \: \: \: \: \: \: 94) = > (x2 \: \: \: \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 1 - 84}{17 - 98} \\ = \frac{ - 85}{ - 81} \\ = \frac{85}{81} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Toby is buying apples. Red delicious apples,x cost $2 per pound . Breaburn apples ,y , cost $3 per pound. He wants to buy at least 10 pounds of apples , but spend no more than 24. Which graph represents this situation
Answer:
Step-by-step explanation:
x+y≥ 10
2x+3y≤24
Answer:
x+y≥ 10
2x+3y≤24
Step-by-step explanation:
Please Help I will Mark Brainliest!
Answer:
Step-by-step explanation:
1) 12/7
2) y = 12/7 x
3) Domain: 0 [tex]\leq[/tex] x [tex]\leq[/tex] 7
Range: 0 [tex]\leq[/tex] x [tex]\leq[/tex] 12
x-3/5 = y-7/2
11x=13y
Answer:
y = -319/20| x = 377/20
Step-by-step explanation:
/| 7/2-x-y-(3/5) = 0| -11*x-(13*y) = 0
We try to solve the equation: 7/2-x-y-(3/5) = 0
29/10-x-y = 0 // - 29/10-x
-y = -(29/10-x) // * -1
y = 29/10-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| -(13*(29/10-x))-11*x = 0| y = 29/10-x
-1*13*(29/10-x)-11*x = 0
2*x-377/10 = 0
2*x-377/10 = 0 // + 377/10
2*x = 377/10 // : 2
x = 377/10/2
x = 377/20
We insert the solution into one of the initial equations of our system of equations
For y = 29/10-x:
y = 29/10-377/20
y = -319/20
We get a system of equations:
/| y = -319/20| x = 377/20
PLEASE HELP WILL MARK BRAINlIEST LOTS OF POINTS ON THE LINE
a venn diagram shows the number of students who passed their examination in french [F] and German [G]. the number of students who dint pass either is b.
french=17 German=11 both=19
a. what is the value of b is the total students is 55
b. 1 of the 55 students is chosen at random, as a fraction what is the probability that this student:
a. passed both french and German
b. passed exactly 1 of these 2 subjects
Answer:
see below
Step-by-step explanation:
A
Add the students who passed french, german, both
add 17+19+11 = 47
Subtract this from 55 to get b
b = 55-47 =8
b =8
B
P( passed french and german)
= number that passed french and german / total
= 19/55
P( french or german) =
= number that passed french or german / total
= (17+11)/55 =28/55
Which of the following expressions is equal to x^2+16?
A. (x + 4i)(x-4i)
B. (x +4i)^2
C. (x-4i)^2
D. (x + 2i)(x - 8i)
Answer:
A
Step-by-step explanation:
x² + 16 = 0
x² = - 16
x² = i² * 4² {i² = -1}
x² = (4i)²
x=√(4i)²
x=±4i
x² + 16 = (x + 4i)(x - 4i)
The swimming instructor has a list of 152 students who have signed up for swimming lessons. The swimming instructor can register 12 students in each class. What is the least number of classes needed for all the students to be registered in a class?
1. 12
2. 13
3. 14
4 .15
Answer:
2. 13
Step-by-step explanation:
The least number of classes need for all of the students to be registered in a class is 13 since you want all of the stuednts to be registered so no one should be left out. If we do 12*12 (12 students in each class and there are 12 classes), that would only let 144 students take the swimming classes and 8 students would be left out. We don't want that though since we want all of the students to be registered. So let's go to 12*13 (12 students in each class and there are 13 classes), that would let 156 students take the swimming class. 156>152 so therefore, 13 classes would allow for all 152 students to be registered and it is the least number of classes needed for all the students to be registered in a class (plus you would have 4 seats left for anyone who wants to register in the future but the remainder doesn't matter).
Jack bought 5 \text{ pounds}5 pounds5, start text, space, p, o, u, n, d, s, end text of Halloween candy. He gave out 3\text{ pounds}3 pounds3, start text, space, p, o, u, n, d, s, end text of the candy to trick or treaters and ate 10\text{ ounces}10 ounces10, start text, space, o, u, n, c, e, s, end text of the candy.
Answer:
1.375 pounds
Step-by-step explanation:
We want to find how many pounds of candy he has left.
He bought 5 pounds.
He gave out 3 pounds.
He ate 10 ounces. Converting 10 ounces to pounds:
1 ounce = 0.0625 pounds
10 ounces = 10 * 0.0625 = 0.625 pounds
Therefore the amount of candy he has left is:
5 - (3 + 0.625)
= 5 - (3.625)
= 1.375 pounds
Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
In Addison Rae's class of 25 students, 15 students report that math is their favorite class and 40% of the students report that science is their favorite class. Show your work to explain how to determine whether more students prefer math or science. tell me how you get 15 students like math lmk
Multiply 25 total students by 40% to find thew number that like science:
25 x 0.40 = 10
10 students like science.
You are told 15 students like math.
More students like math.
What is the decimal multiplier to decrease by 7.4%? pls answer ASAP
Answer:
[tex]0.926[/tex]
Step-by-step explanation:
[tex]1-7.4/100[/tex]
[tex]1-0.074[/tex]
[tex]=0.926[/tex]
According to the graph, what is the constant of proportionality?
(0,0) (5,3)
Answer:
3/5
Step-by-step explanation:
The constant of proportionality is the slope
m = (y2-y1)/(x2-x1)
= (3-0)/(5-0)
=3/5
Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5, y si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19 . Hallar el número.
Resolviendo un sistema de ecuaciones, veremos que el número de dos cifras es 97.
¿Como encontrar el sistema de ecuaciones?
Podemos escribir un número de dos cifras como:
a*10 + b
Donde a y b son dos numeros de una cifra.
Entonces podemos escribir las restricciones:
"Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5"
((a*10 + b) - 17)/(a + b) = 5
"si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19"
(a*10 + b - 2)/(b - 2) = 19
Entonces tenemos un sistema de ecuaciones, que vamos a escribir como:
a*10 + b - 17 = (a + b)*5
a*10 + b - 2 = 19*(b - 2)
Donde pase los denominadores a la derecha, así es más simple de leer.
Para resolver esto, primero debemos simplificar ambas ecuaciones, vamos a obtener:
a*10 + b - 17 = a*5 + b*5
a*10 + b - 2 = 19*b - 38
Moviendo los terminos con variables a la izquierda y los constantes a la derecha:
a*10 + b - a*5 - b*5 = 17
a*10 + b - 19*b = -38 + 2
Terminamos de simplificar:
a*5 - b*4 = 17
a*10 - b*18 = -36
Ahora debemos aislar una de las variables en una de las ecuaciones, vamos a aislar a en le primera:
a = (17 + b*4)/5
Ahora reemplazamos esto en la otra ecuación y resolvemos para b:
10*(17 + b*4)/5 - b*18 = -36
2*(17 + b*4) - b*18 = -36
34 + b*8 - b*18 = -36
34 - b*10 = -36
-b*10 = -34 - 36 = -70
b = -70/-10 = 7
Para encontrar el valor de a usamos la ecuación:
a = (17 + b*4)/5 = (17 + 7*4)/5 = 9
Entonces podemos concluir que el número es 97.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
https://brainly.com/question/13729904
Which graph represents y = -2x
Answer: Second Option, with a downward trend from left to right.
Step-by-step explanation:
We just have to find a graph that matches up with a slope of -2 or a rise/run of -2/1.
The graph represented by y = -2x is the graph in option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The equation, y = -2x is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
In the graph attached with the answer below it is observed that the line y = -2x is passing from the origin and covering the second and the fourth quadrant of the coordinate axis x and y.
It is also observed that the line y = -2x is passing from the point (0,0) then the y-intercept is zero for the equation.
Therefore, the graph represented by y = -2x is the graph in option B.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ6
What is the area of the parallelogram?
6
5
4
Step-by-step explanation:
A=base length × height
if base is 6cm, and h 4 cm, multiply
6×4=24cm2
What is the result of subtracting the second equation from the first?
8x-4y=-4
-3x + 4y= 5
Step-by-step explanation:
let's subtract it from the first one
8x -4y -(-3x + 4y) = -4 -5
8x -4y +3x - 4y= -9
11x -8y =-9
Find the rational number whose cube is 0.001728
Answer:
0.001728 is the cube of [tex]\frac{3}{25}[/tex]
Step-by-step explanation:
0.001728 = [tex]\frac{1728}{1000000}[/tex]
break down each using LCD
1728 / 2 = 864
864 / 2 = 432
432 / 2 = 216
216 / 2 = 108
108 / 2 = 54
54 / 3 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
1000000 / 2 = 500000
500000 / 2 = 250000
250000 / 2 = 125000
125000 / 2 = 62500
62500 / 2 = 31250
31250 / 5 = 15625
15625 / 5 =3125
3125 / 5 =625
625 /2 = 125
125 / 5 =25
25 / 5 = 5
5 / 5 = 1
*don't forget to add another 2 for each group*
[tex]\frac{1728}{1000000}[/tex] = [tex]\frac{2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3}{2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5}[/tex]
= [tex]\frac{3 * 3 * 3}{5 * 5 * 5 * 5 * 5 * 5}[/tex]
= [tex]({\frac{3x^{3} }{5x^{3} * 5x^{3} })^{3}[/tex]
= [tex]\sqrt[3]{\frac{1728}{1000000} } = (\frac{3}{5 * 5} )^{3}[/tex]
=[tex]\sqrt[3]{\frac{1728}{1000000} } = \frac{3}{5 * 5}[/tex]
= [tex]\sqrt[3]{0.001728} = \frac{3}{25}[/tex]
PLEASE HELPPPPPPPPPPPPP 3x+2=8
Answer:
x=2
Step-by-step explanation:
3x+2=8
Subtract 2 from both sides
3x=6
Divide 3 from both sides
x=2
CLASS- 9 HERON'S FORMULA
1) find the area of an equilateral trimgle whose perimeter is 60cm
Answer:
see below
Step-by-step explanation:
if its perimeter is 60 each side is 60/3 = 20.
Its height will be 10√3 so area is 20 * 10√3 / 2 = 100√3
Does anyone have snap???????? Need faster answrs !!!!!
Here it is plz dont judge i had it for a long time: Cool_fam7
uwu plz text me i get bored a lot
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
what is the value of x if 8:15 ::16x
Step-by-step explanation:
8:15::16:x
8x = 15 x 16
8x = 240
x = 240/8
x = 30
plz answer asap its due today 3x + 2y is an example of
A. an algebraic expression
B, an algebraic equation
C. a numerical equation
D. a numerical expresstion
Answer:
A
Step-by-step explanation:
This isn't an equation because there is no = sign so we can eliminate B and C. Since this has variables in it it's algebraic so the answer is A.