Answer:
Answer is option d) 2
Step-by-step explanation:
[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]
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For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression, (2x + 3y)/4 - 2
The value of expression, when x = 2 and y = 4
⇒ (2×2 + 3×4)/4 - 2
⇒ (4+12)/4 -2
⇒ 16/4 - 2
⇒ 2
Hence, the value of expression is 2
To know more about Expressions check:
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Two similar cardboards have areas of 24cm² and 150cm². If the length of the bigger one is 10cm ,what is the length of the smaller one,?
Answer:
4 cm
Step-by-step explanation:
You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².
Scale factorThe scale factor for lengths is the square root of the scale factor for areas. It will be ...
√(24/150) = 0.4 . . . . . . = smaller / larger
The smaller cardboard has a length of ...
0.4 × 10 cm = 4 cm
__
Additional comment
Sometimes folks like to write this as a proportion:
[tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]
Solving this for "smaller length" gives the expressions we used above:
smaller length = (larger length) × √(smaller area/larger area)
A eat sixth of pizza in 2 minutes.B takes 3 minutes to eat one quarter of same same pizza.If A and B starts eating one pizza each,who will finnish first?
Answer:
same time , 12 minutes
Step-by-step explanation:
'A' can eat 1÷6 pizza in 2 minutes
Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes
'B' can eat 1÷4 pizza in 3 minutes
therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes
So, Both 'A' and 'B' will finish at same time.
What is the answer? Pls help
Answer:
D
Step-by-step explanation:
Plug in 6 as x in the function
h(6) = 3(6) - 4
h(6) = 18 - 4
h(6) = 14
Answer:
The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14
Step-by-step explanation:
In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?
I put the wrong answer
Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
Answer:
D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
Step-by-step explanation:
[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]
[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]
[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]
The standard form of a polynomial is the general way of writing the polynomial.
The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
The polynomial expression is given as:
[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]
Collect like terms
[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]
Evaluate the like terms
[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]
Rewrite the polynomial in decreasing order of the power of x
[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]
Read more about polynomials at:
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Solve the simultaneous equation.
7a+3b=46
4a+5b=69
Answer:
a=1 and b=13
do you need the working out?
Which of the following best describes the graph shown below?
Answer:
B. This is a graph of a one to one function
Answer:B
Step-by-step explanation:
What word phrase can you use to represent the algebraic expression 7x?
Answer:
7 times x
Step-by-step explanation:
When the expression is seen, we can say that it displays 7 times x.
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer. plz answer
Answer:
c=10
Step-by-step explanation:
c² =8²+6²
c² =64+36
c²= 100
[tex] \sqrt{100} [/tex]
= 10
What is the domain of the function on the graph?
1. all real numbers
2. all real numbers greater than or equal to 0
3. all real numbers greater than or equal to -2
4. all real numbers greater than or equal to -3
(look at attached graph)
Answer:
3. All real numbers greater than or equal to -2
can 2x + 3y be simplified?
Answer:
no
Step-by-step explanation:
6= -3 + r
solve for r
Answer:
6=-3+r
r=9
Step-by-step explanation:
Answer:
9=r
Step-by-step explanation:
6=-3+r
+3 = +3
add 3 to both sides
9=r
Find median of the data. 14, 18, 16, 122, 22, 19, 12
Answer:
18
Step-by-step explanation:
The order from least to greatest is 12,14,16,18,19,22,122.
The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.
Answer:
1.2Litres
Question:
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?
Step-by-step explanation:
Let the total punch bowl be = P
Portion of Orange juice = ½ of total punch bowl
= ½ × P = P/2
Portion of grape = ½ of the remaining space
Remaining space = P - P/2 = P/2
Portion of grape = ½ × P/2 = P/4
The rest of the punch bowl is for cherry = 300mL
P/2 - P/4 = 300
(2P - P)/4 = 300
P/4 = 300
P = 300×4
P = 1200mL
1mL = 10^(-3)L
P = 1.2 ×10³ × 10^(-3)L
P = 1.2L
Wes made 1.2liters of fruit punch.
3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)
(F) (-3,-5)
Answer:
D and B is the answer
Step-by-step explanation:
Here is a graph with the points
Solve for n. 11(n – 1) + 35 = 3n plz help
[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
sum interior of polygon help!
Answer:
180
Step-by-step explanation:
What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.
Answer:
33.3%
Step-by-step explanation:
Take the original price and subtract the new price
36-24=12
Divide this by the original price
12/36 = 1/3 = .33333repeating
Multiply by 100 % to get to percent form
.3333 repeating * 100%
33.3333%
Round to the nearest tenth
33.3%
Which is equivalent to “4 pencils for every 2 students”?
Answer:
8 pencils for every 4 students or 2 pencils for every students
Step-by-step explanation:
Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent
There are 24 students in Julie’s class. 6 of these students are boys. What percent of the class are boys
Answer:
25%
Step-by-step explanation:
Take the number of boys over the total
6/24
1/4
Change to a decimal
.25
Change to a percent
25%
HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
1. what is the measure of angle B? (image included below)
2. What is the value of x? (image included below)
Answer:
1. 47 2. 49
Step-by-step explanation:
1st is complementary and second is supplementary
Answer:
Step-by-step explanation:
b+43˚=90˚
subtract 43˚ from both sides of the equation
b=47˚
3x+33˚=180˚ (because it's a straight angle)
subtract 33˚ from both sides
3x=147˚
divide both sides by 3
x= 49˚
if b=6, what is 12b
Answer:
72
Step-by-step explanation:
12b
Let b = 6
12*6
72
Answer:
72
Step-by-step explanation:
You have to take 12 times 6 because b=6.
so 12b=12 times 6
12 times 6= 72
Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!
Answer:
w=6, x=7, t=7, n=90, w=15/2
Step-by-step explanation:
a) 5w = 30
30/5 = 6
w=6
b) 3x-5=16
Add 5 to each side.
3x+5=16+5
3x=21
21/3=7
x=7
c) 10-t=17
10-t=17
17-10-7
-t=-7
Negative and a negative is a positive.
t=7
d) n/5 = 18
n=18 * 5
n=90
e.) 4w-12=2w+3
4w=2w+3+12
4w=2w+15
4w−2w=15
2w=15
w= 15/2
Scratchpad
The value of b when solving the equation 2 (b+12)=16
Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
Helpppp meeeeee plsssssss
Answer:
a)3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a)3²×3² = 3^2+2=3⁴
b)7×7⁴=7¹×7⁴=7^1+4=7⁵
c)10⁹÷10⁷=10^9-7=10²
d)5⁸÷5=5⁸-5¹=5^8-1=5⁷
Please help with this
Answer:
bruh
Step-by-step explanation:
part 2. Find the missing sides for each 30 60 90 triangles. Show work please.
5. tan(30) =4/g
g = 4/tan(30)
g = 4√3
sin(30) = 4/h
h = 4/sin(30)
h = 8
6.
tan(30) = 14/l
l = 14/tan(30)
l = 14√3
sin(30) = 14/m
m = 14/sin(30)
m = 28
7.
sin(30) = j/50
j = 50 x sin(30)
j = 25
cos(30) = k/50
k = 50 x cos(30)
k = 25√3
Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.
The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.
2c + c
2c + 3
3c + 3
2c + c – 3
2c – c + 3
2c + c + 3
Answer:
3c + 3
hope this helps.
Answer:
3c + 3
and
2c + c + 3