Answer:
56 and 16
Step-by-step explanation:
Set up equations!
x+y=72
x-y=40
You can solve for this by crossing out y as it becomes eliminated. You are left with 2x= 112. Then solve, so x= 56. Take 56 for x and plug it into one of the equations and solve for y. 56-y=40-----> y= 16. The numbers are 16 and 56.
Using a system of equations, it is found that the numbers are 16 and 56.
The numbers are unknown, so we are going to call them x and y.Their sum is of 72, thus:
[tex]x + y = 72 \rightarrow y = 72 - x[/tex]
Their difference is of 40, thus:
[tex]x - y = 40[/tex]
Since [tex]y = 72 - x[/tex]
[tex]x - (72 - x) = 40[/tex]
[tex]2x = 112[/tex]
[tex]x = \frac{112}{2}[/tex]
[tex]x = 56[/tex]
Then:
[tex]y = 72 - x = 72 - 56 = 16[/tex]
The numbers are 16 and 56.
A similar problem is given at https://brainly.com/question/24778333
which expression is equivalent to x2-17x-60
Answer:
(x - 20)(x + 3)
Step-by-step explanation:
Multiply the coefficient of the first term. 1 x -60
which equals -60
find the two factors of -60 which is -17
-60+ 1 = -59
-30+ 2= -28
-20+ 3= -17
Then, the final answer you will get is (x - 20)(x + 3)
You have a bag of 12 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawing a red marble and, without replacing it, then drawing a green marble?
Answer:
[tex]Probability = \frac{1}{11}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 4[/tex]
[tex]Green = 6[/tex]
[tex]Red = 2[/tex]
[tex]Total = 12[/tex]
Required
Determine the probability of drawing red and green without replacement
This is calculated as follows:
[tex]Probability = P(Red\ and\ Green)[/tex]
[tex]Probability = P(Red)\ and\ P(Green)[/tex]
[tex]Probability = \frac{n(Red)}{Total} * \frac{n(Green)}{Total - 1}[/tex]
We used Total - 1 because it's a probability without replacement:
[tex]Probability = \frac{2}{12} * \frac{6}{12- 1}[/tex]
[tex]Probability = \frac{2}{12} * \frac{6}{11}[/tex]
[tex]Probability = \frac{1}{6} * \frac{6}{11}[/tex]
[tex]Probability = \frac{1}{11}[/tex]
Hence, the required probability is 1/11
which ratios are equivalent to 7/3? check all that apply 27:21, 28 to 12, 56/24, 63 to 27, 9/12
Answer:
I know the correct ones!
Step-by-step explanation:
28 to 12, 63 to 27, 56 to 24
Answer:
its B C and D
Step-by-step explanation:
A group of 44 students is planning a train trip to Washington, D.C. They held many fundraisers and raised $10,880. Nathan said, “We should have enough money to pay for the train tickets. There are about 50 students going on the trip and one round trip ticket costs about $200. That makes the total cost of the tickets less than $10,000.” Does Nathan’s reasoning make sense?
Answer:
Yes
Step-by-step explanation:
Yes, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.
Answer:
Yessirr
Step-by-step explanation:
Yessir, Nathan's reasoning makes perfect sense because he is only stating that the money will be enough for the train tickets. Since a ticket for a single student is $200 round-trip and there are a total of 50 students going then that would mean that the total cost is indeed $10,000 (200 * 50). Since they raised a total of $10,880 with the fundraisers that would leave them with $880 ($10,880 - $10,000) after buying all the tickets that they need for all of the students.
13. Greg is going into business selling homemade blankets.
The supplies for each blanket cost him $3.00, and he wants
to earn at least $17.00 for each blanket to compensate for his time. The domain for this situation is:
all rational numbers
all positive real numbers
all positive integers
Answer:
all positive inegers
Step-by-step explanation:
What single decimal multiplier would you use to increase by 4% followed by a 4% decrease?
Answer:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
Step-by-step explanation:
The decimal multiplier would you use to increase by 4% followed by a 4% decrease is 1.0816.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
We have to find decimal multiplier would you use to increase by 4% followed by a 4% decrease.
So, (1+ 4%)(1+ 4%)
= (1 + 4/100)(1 + 4/100)
= (1 + 0.04)(1+0.04)
= 1.04 x 1.04
= 1.0816
Learn more about percentage here:
https://brainly.com/question/29306119
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Simplify the following expression: b + b + b
Answer:
3b
Step-by-step explanation:
repeated addition is multiplication
Answer:
3b
Step-by-step explanation:
heres why:
there are 3 b's right
so heres wut i did
b+b+b=3b
i add it
Billy bought Katie a present wrapped in this box. How much wrapping paper would He need to wrap the present in this box, PLEASE HELP! WILL MARK BRAINLIEST
Answer:
284mm²
Step-by-step explanation:
S.A.= 2(lw) + 2(lh)+ 2(wh)
2[12.6(8)] + 2[12.6(2)] + 2[8(2)]
201.6 + 50.4 + 32
S.A.= 284mm²
Answer:
B
Step-by-step explanation:
You need a top and bottom (same size)
You need a front and back (same size for them as well)
You need a left and right covering.
Top and bottom = 2 * 12.6 * 8 = 201.6
Left Right = 2 * 8 * 2 = 32.0
Front/Back= 2 * 2 * 12.6 = 50.4
Total 284
Someone help me I have have like 5 questions if you answer them all you’ll get brainlest;) 1/5
Answer:
We conclude that the list which
shows values in order from LEASE to GREATEST is:
[tex]\frac{49}{16}[/tex], [tex]\frac{80}{19}[/tex], [tex]\sqrt{25}[/tex]Step-by-step explanation:
Given the values
[tex]\sqrt{30}=5.477[/tex]
[tex]\frac{49}{16}=3.0625[/tex]
[tex]\frac{80}{19}=4.210[/tex]
[tex]\sqrt{25}=5[/tex]
Writing all the values from LEASE to GREATEST
3.0625, 4.210, 5, 5.477
OR
[tex]\frac{49}{16}[/tex], [tex]\frac{80}{19}[/tex], [tex]\sqrt{25}[/tex], [tex]\sqrt{30}[/tex],
Therefore, from the given answer options, we conclude that the list which
shows values in order from LEASE to GREATEST is:
[tex]\frac{49}{16}[/tex], [tex]\frac{80}{19}[/tex], [tex]\sqrt{25}[/tex]SOLVE...show your work:
8/12=10/3x
Answer:
well if the x is in the fraction the answer is
x=5
if it is not and it's after the fraction
x=1/5
Step-by-step explanation:
for x=5 for x=1/5
Apply;fraction:cross:multiply: 8/12=10/3 x then switch sides
8*3x =12*10 10/3 x = 8/12 cancel the common factor:4
simplify: 10/3 x = 2/3
24x=120 multiply both sides by 3
divide both sides by 24 3*10/3 x = 2*3/3
24x/24=120/24 simplify: 10x =2
simplified =5 divide both sides by 10: 10x/10=10/2
x=5 simplified = 1/5
x=1/5
Please let me know if this helps. and give me a thanks or something if it did <33
What is the equation of the line that passes through the point (-5, -2) and has a
slope of -6/5?
Answer:
y= -6/5x - 8
Step-by-step explanation:
I just used desmos easy to use and you understand how graphs work more.
Convert 50°F to Celsius.
_____ °C
Answer:
10C
Step-by-step explanation:
look it up
Could anyone help me solve this Algebra equation?
Answer:
[tex]9^{-36}[/tex]
Step-by-step explanation:
Please help. I need help with this
Select the correct answer. Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C. (3, 2) D. (-3, -2) E. (3, -2)
Answer:
The coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Step-by-step explanation:
Given the equations
[tex]x\:-2y\:=-1;\:2x\:+\:3y=12[/tex]
solving the equations to find the solution values (coordinates)
[tex]\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2[/tex]
[tex]\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}[/tex]
[tex]2x+3y=12[/tex]
[tex]-[/tex]
[tex]\underline{2x-4y=-2}[/tex]
[tex]7y=14[/tex]
so
[tex]\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}[/tex]
solve for y
[tex]7y=14[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2[/tex]
[tex]2x-4\cdot \:2=-2[/tex]
[tex]2x=6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=3,\:y=2[/tex]
Therefore, the coordinates that satisfy the equations will be: (3, 2)
Hence, option C is correct.
Answer:
3,2
Step-by-step explanation:
hey There! i need ur help Please!!!!
Answer:
35 5x7=35
Step-by-step explanation:)
35 [tex]hope you love it[/tex]
Write an equation of the line passing through point P that is perpendicular to the given line.
P(6, 10), y = -3x + 13
Answer:
y = 1/3x + 8
Step-by-step explanation:
1. Find slope of y = -3x+13
(m = -3)
2. Compute slope for perpendicular line
(m = 1/3)
basically, to find the perpendicular slope, you swap the numerator and denominator of your slope and swap it from negative to positive. (If you started with a positive slope it would turn negative)
3. Find the line with slope m=1/3 that passes through (6,0)
(y = 1/3x + 8)
find the value of questions
Answer:
The simplified expression is:
[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{3^9\times \:y}{2\times 81}[/tex]
solving the expression
[tex]\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}[/tex]
[tex]=\frac{3^9y}{3^4\times \:2}[/tex] ∵ [tex]162=3^4\times \:2[/tex]
[tex]=\frac{3^5y}{2}[/tex] ∵ [tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=\frac{243y}{2}[/tex] ∵ [tex]3^5=243[/tex]
Therefore, the simplified expression is:
[tex]\frac{3^9y}{2\times \:81}=\frac{243y}{2}[/tex]
dan is cutting 4.75-foot lengths of twine from a 240-foot spool of twine. he needs to cut 42 lengths and says that 40.5 feet of twine will remain. show that this is reasonable.
Answer:
to find the ammount of twine left we subtract (twine used) from (total twine) or (total twine)-(twine used)=ammount left
so he must cut 42 legnths of rope each legnth is 4.75 and this is taken from a
total legnth of 240 so
240-42(4.75)=amount left
42 trimes 4.75=199.5
240-199.5=40.5 left
Step-by-step explanation:
I NEED HELP WITH (33) B,C,D
Answer:
what are the answer choices?
Please answer the question below
Answer:
Yesssirrrr
Step-by-step explanation:
how does it feel??
Answer:
yes sirr
Step-by-step explanation:
Which two segments have the same length?
Answer:
VW and YZ
Step-by-step explanation:
Count the lines in between the black dots.
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pounds each, because the bigger bags were on sale. Did he end up with more grapes or less grapes by buying the bigger bags? He ended up with about One-half pound less grapes. He ended up with about One-half pound more grapes. He ended up with about 1 pound less grapes. He ended up with about 1 pound more grapes.
Answer: He ended up with about 1 pound less grapes
Step-by-step explanation:
2 bags of grapes weighing 5 and two-thirds pounds each will give a total weight of:
= 2 × 5 2/3
= 2 × 17/3
= 34/3
= 11 1/3 pounds
3 bags weighing 4 and one-fifth pounds each, will give a weight of:
= 3 × 4 1/5
= 3 × 21/5
= 63/5
= 12 3/5
He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes
Answer:
It is C ( look down for proof)
Step-by-step explanation:
I also need to classify triangle prs by both sides and angles
Answer:
w
Step-by-step explanation:
f
A jar contains 3 red marbles, 2 blue marbles, and 5 yellow marbles. What is the
probability of pulling a blue marble, replacing it, then pulling a blue marble again?
Answer:
1/10
Step-by-step explanation:
O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro, porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher ao acaso um morador do bairro que não tomou a vacina?
Questão completa:
O cronograma de vacinação deste posto pretendia vacinar 1500 moradores do bairro,
porém não conseguiu vacinar todos os moradores. Qual é a probabilidade de escolher
ao acaso um morador do bairro que não tomou vacina?
(eles so conseguiram vascinar 1000 pessoas )
Responda:
1/3
Explicação passo a passo:
Dado que :
Número total de pessoas = 1.500
Número total de vacinados = 1000
Conseqüentemente,
Número de não vacinados = (1500 - 1000) = 500
Portanto, a probabilidade de selecionar aleatoriamente alguém que é vacinado:
Probabilidade = (resultado necessário / número de resultados totais)
P (selecionando alguém que não foi vacinado) =
500/1500
= 1/3 ou 0,3333
Simplify
(-2a^2 b^4)^3. Select the correct answer.
Answer:
B.. ..... .., .........
On expanding the given expression (-2a²b⁴)³ , we get -
- 8a⁶b¹²
What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is the following expression -
(-2a²b⁴)³
On expanding the expression, we get -
(-2a²b⁴)³
- 8a⁶b¹²
The correct alternative is option [C] → - 8a⁶b¹²
Therefore, on expanding the given expression (-2a²b⁴)³ , we get -
- 8a⁶b¹²
To solve more questions on expressions, visit the link below-
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Find the vertex for the following equation.
y = 2x^2 - 4x + 5
Answer:
(1, 3)Step-by-step explanation:
[tex]y = 2x^2 - 4x + 5\\\\y = 2(x^2 - 2x) + 5\\\\y=2(\underline{x^2-2\cdot x\cdot1+1^2}-1^2)+5\\\\y=2\big[(x-1)^2-1\big]+5\\\\y=2(x-1)^2-2+5\\\\y=2(x-1)^2+3\quad\implies\quad vertex:\ (1\,,\ 3)[/tex]
8x + 4 - 3 - x
PLEASE solve it!!!!
Answer:
7x+1
Step-by-step explanation:
Add common variables. That's as far as you can go because you don't what the final answer is supposed to be.
Help please
if f(x)=3x-1 and g(x)=2x+1 find (f-g)(x)
Answer:
x-2
Step-by-step explanation:
f(x) =3x-1
g(x) =2x+1
(f-g)(x)= 3x-1-(2x+1)=3x-1-2x-1=x-2