Answer:
¾(y + 3) + 9w
Step-by-step explanation:
Let's write it step by step:
Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)
Step 2: plus the product of 9 and w is;
¾(y + 3) + 9w
Thus,the final algebraic expression of the statement given in the question is;
¾(y + 3) + 9w
When three numbers are added two at a time, the sums are 29, 46, 53. What is the sum of all three numbers?
Answer:
[tex]Sum = 64[/tex]
Step-by-step explanation:
Let the three numbers be a, b and c; such that:
[tex]a + b = 29[/tex] ---- (1)
[tex]b + c = 46[/tex] --- (2)
[tex]a + c = 53[/tex] --- (3)
Subtract equation 2 from 3
[tex]a - b + c - c = 53 - 46[/tex]
[tex]a - b = 7[/tex] --- (4)
Add this equation to the (1)
[tex]a + a + b - b = 29 + 7[/tex]
[tex]2a= 36[/tex]
Solve for a
[tex]a = 36/2[/tex]
[tex]a = 18[/tex]
Substitute 18 for a in (1)
[tex]a + b = 29[/tex]
[tex]18 + b = 29[/tex]
Solve for b
[tex]b = 29 - 18[/tex]
[tex]b = 11[/tex]
Substitute 11 for b in (2)
[tex]b + c = 46[/tex]
[tex]11 + c = 46[/tex]
Solve for c
[tex]c = 46 - 11[/tex]
[tex]c = 35[/tex]
[tex]Sum = a + b +c[/tex]
[tex]Sum = 18 + 11 + 35[/tex]
[tex]Sum = 64[/tex]
"There are 9 students in a class. 3 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible?"
Answer:
6
Step-by-step explanation:
3.1 to the nearest tenth
Answer:
3.1 to the nearest tenth is 3.1.
Step-by-step explanation:
The first decimal place is the tenths place. Hope this helps!
3.1 because 1 can't be raised to the next number
The grades received by 200 students follow a normal distribution. The mean of the grades is 70%, and the standard deviation is 7%.
The number of students who received a grade greater than 70% is about
, and the number of students who got a grade higher than 84% is about
.
Answer:
(5,100)
Step-by-step explanation:
Help! Need ASAP! ;((
Answer:
7+(-11)
Step-by-step explanation:
because it starts from 0 to 7 then goes down 11
so 7+(-11)
brainlist pls ;>
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards does he have left?
How to solve this ??
Answer:
They would take 237,944 steps next month
Step-by-step explanation:
1 1 1 1
118972
x 2
237,944
So its asking you to add 118,972 by 118,972 using standard algorithm of addition.
Standard algorithm of addition is where you line the numbers your adding on top of eachother by place.
So you must the two numbers to get 237,944
What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
Answer:
Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)
Step-by-step explanation:
XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD
1. tentukan hasil dari 243⅔?
2. tentukan hasil dari
√32 +3√18-2√50?
3.tentukan hasil dari 1000 ⅔×64⅙?
4. resionalkan bentuk akar dari 3/4+√2?
5. hasil dari 2√3×√18:√2 adalah?
6 bentuk sederhana dari :12/3+√3 adalah ?
7. hasil dari √1000—2√40 adalah
8. hasil dari 2- ¹+3-¹ adalah?
9. bentuk dari 5√5, jika dirsionalkan penyebutnya adalah?
10. hasil dari 2√3×√18:√6 adalah ?
[tex]tolong bantu nya[/tex]
Penjelasan langkah demi langkah:
1)
[tex]= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49[/tex]
2) √32 +3√18-2√50
= √16*2 +3√9*2-2√25*2
= 4√2 + 3(3√2)-2(5√2)
= 4√2 + 9√2-10√2
= 13√2-10√2
= 3√2
3) 1000 ⅔×64⅙
[tex]= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200[/tex]
4) 3/4+√2
[tex]3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }[/tex]
5) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
6) 12/3+√3
= 4+√3
7) √1000—2√40
= 10 -2 (√4*10)
= 10-2(2√10)
= 10 - 4√10
8) 2- ¹+3-¹
[tex]= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}[/tex]
9)
[tex]\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}[/tex]
Jika pernyataannya opsional, penyebutnya adalah 1
10) 2√3×√18
= 2√3×√9*2
= 2√3×3√2
= (2*3)(√3*√2)
= 6√6
Select the word problem that can be modeled by the addition of two negative numbers. A Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions? B Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions? C Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? D Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Answer: A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions?
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
A.) Polly bought a cracker for $4 and then bought a parrot for $3. By how much did Polly's account change after her transactions
Amount spent on cracker = - $4
Amount spent on carrot = - $3
Change in account = - 4 + (-3) = - $7
B.) Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Amount received from sale of cat = $9
Amount spent on plant = - $4
Change in account = 9 + (-4) = $5
C.) Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions?
Amount received from sale of pottery = $9
Amount received from sale of hat = $2
Change in account = 9 + 2 = $11
D.) Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions?
Amount spent on VCR = - $8
Amount received from sale of VCR = $9
Change in account = - 8 + 9 = $1
Which transformation reflects f(x)=(x-1)² over the y-axis?
A) f'(x) = 0.3((x-1)²+1)
B) f'(x) = -3((x-1)²+1)
C) f'(x) = (-4x-1)²+1
D) f'(x) = (0.1x-1)²+1
Answer:
A) f'(x) = 0.3((x-1)²+1)
Step-by-step explanation:
Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 68 pounds.
How much does Paula's dog weigh?
Use the diagram to find the weight of Paula's dog.
Carla's dog
Paula's dog
68 pounds
68 + 4 =
so Carla's dog weighs
pounds and Paula's dog weighs
pounds.
w
Answer:
51
Step-by-step explanation:
68/4=17
68-17=51
Answer:
Paula's dog weighs 51 pounds.
Carla's dog weighs 17 pounds.
17 times 3 equals 51.
Then 17 added to 51 equals to 68.
4. Tell whether the equation is a linear equation.
4x-3y = 2
Answer:
What Is X and Y
Step-by-step explanation:
Answer:
It is a linear equation.
Step-by-step explanation:
It has no squares in the equation, meaning the line is straight, therefore meaning the equation is linear.
please answer this The cost of 2.5 pounds of cheese is $5.60.
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$11.20
Step-by-step explanation:
you just double the cost of 2.5 pounds because 2.5 +2.5 is 5
Answer:20.16
Step-by-step explanation:
That is we want the price of
9
pounds (lets call it
$
x
) to be such that
$
5.60
:
2.5
pounds
is the same as
$
x
:
9
pounds
or written as fractions, we want
$
5.60
2.5
pounds
=
$
x
9
pounds
That is
XXX
$
x
=
$
5.60
2.5
pounds
×
9
pounds
XXXXX
=
$
50.40
2.5
=
$
20.16
Solve the following expression when a=5
4^2+5a-2a
Answer: 31 i think
Step-by-step explanation:
Please help answer this I will make you brainlst
Answer:
Read the comments that is where i put the answer at + my work.
The trainer's goal was to have Lucky gain weight. Was the goal met? Explain.
Answer:
Yes the trainer was successful in an attempt for lucky to gain weight.
Step-by-step explanation:
Lucky was a weak and thin body shaped person who came to a gym trainer to gain weight. The trainer started to guide Lucky that he has to go for supplements and heavy weight lifting in order to gain weight. After 3 month's of hard work lucky has finally gained weight from 55 kg to 88 kgs.
i’ll mark brainlest! pls help! :/
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
d = [tex]\sqrt{(5-(-4)^2+(5-(-4)^2 \\[/tex]
d = [tex]\sqrt{(9)^2+(9)^2[/tex]
d = [tex]9\sqrt{2}[/tex]
Answer:
D i think... sry if im not correct i tried my best
Step-by-step explanation:
can someone help me with this problem
please help me thank youu
Answer:
Step-by-step explanation:
C = 4
The reason of this is because the absolute value of any number is always positive so that's why.
In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.
Required:
What will be the standard deviation of the sampling distribution?
Answer:
The value is [tex]\sigma _x = 1.1832[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 25[/tex]
The population standard deviation is [tex]\sigma = 7[/tex]
The sample size is n = 35
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma _x = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma _x = \frac{7}{\sqrt{35} }[/tex]
=> [tex]\sigma _x = 1.1832[/tex]
For a school project, the school bought 36 hamsters for $5.90 each and 40 cages for $30.25 each.
How much did the school spend in all?
Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500
Answer:
The median monthly sales goal is $30000
Step-by-step explanation:
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40
n = 12(even)
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]
[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]
So, The median monthly sales goal is $30000
So, Option C is true
PLEASE PLEASE help me
Answer:
I couldn't fit it all in one photo but here you go!
explain why the quadratic relation y=2x^2+3x+5 would have no zeros
Complete the square to rewrite the quadratic:
2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5
... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5
... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8
... = 2 (x + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.
A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.) Drawing a black card or a face card
Answer:
8/13
Step-by-step explanation:
In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 26 black cards in a standard deck so,
P(A)=26/52.
There are 12 face cards in a standard deck so,
P(B)=12/52.
There are 6 cards that are black face cards.
P(A∩B)=6/52.
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=26/52+12/52-6/52
P(A∪B)=38/52-6/52
P(A∪B)=32/52
P(A∪B)=8/13
Thus, probability of drawing a black card or a face card is 8/13.
What does a temperature of what does a temperature of 9°C mean?
Choose the best answer.
✓ Choose...
The Celsius temperature is 9 degrees above zero.
The Celsius temperature is zero.
The Celsius temperature is 9 degrees below zero.
Answer:
I think it the first answer
Step-by-step explanation:
Im not positive but hope that right
The length of a rectangle is 5 cm more than 2 times its width. The perimeter of the rectangle is 34. Define variables to find both length and width. Write an equation to find the perimeter of the rectangle. What are the dimensions of the rectangle?
Answer:
many take time and solve it step by step
Step-by-step explanation:
sorry I am lost
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
Y= 17.5
Step-by-step explanation:
140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5