Answer:
[tex]\boxed {x = 54}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7(x - 5) - 9 = 334[/tex]
-Use Distributive Property:
[tex]7(x - 5) - 9 = 334[/tex]
[tex]7x - 35 - 9 = 334[/tex]
-Combine like terms:
[tex]7x - 35 - 9 = 334[/tex]
[tex]7x - 44 = 334[/tex]
-Add both sides by [tex]44[/tex]:
[tex]7x - 44 + 44 = 334 + 44[/tex]
[tex]7x = 378[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7}= \frac{378}{7}[/tex]
[tex]\boxed {x = 54}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]54[/tex].
Jayden is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after tt hours?
Answer:
8 gallons left
Step-by-step explanation:
0.75 times 4=3
11-3=8
hope this helps :)
Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50? More pendants to make a $50 profit
Answer:
Kelsey must produce 34 more pendants.
Step-by-step explanation:
Giving the following information:
Fixed costs= $200
Unitary variable cost= $7.8
Selling price per unit= $13.5
Desired profit= $50
To determine the number of units to be sold, we need to use the break-even point in units formula.
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (200 + 50) / (13.5 - 7.8)
Break-even point in units= 250/5.7
Break-even point in units= 43.86 = 44
Kelsey must produce 34 more pendants.
Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Dreams Hotel are vacant? Pick the model that represents the problem.
Answer:
20%
Step-by-step explanation:
First of all I don't known what the model thing is but I'll tell you the percent
25 /25
125 /25
= 1/5
1/5 as a percent=
1 *20
5 *20
= 20%
Which graph shows a proportional relationship between x and y?
Answer:the last one
Step-by-step explanation:
Answer: B
Step-by-step explanation:
I HAVE DONE THIS ALREADY
Which of the following numerical expressions have the same value as 1-1024257
Answer:
125612
Step-by-step explanation:
Three friends, Hannah, Jeremy and Delmon, were watching the Tigers game on TV. The Tigers were losing, so they started talking about how old each of them was. Jeremy, who was the oldest, noticed that they were all between the ages of 11 and 30. Hannah noticed that the sum of their ages was 70. Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!" Hannah then realized that the difference between her age and each of the guys was more than 5 years. How old was each person?
Answer:
The age of Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively
Step-by-step explanation:
Let H , J and D be the age of Hannah, Jeremy and Delmon respectively.
We are given that Hannah noticed that the sum of their ages was 70.
H+J+D=70---1
Now we are given that Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!"
J-D>10
Now we are given that Hannah then realized that the difference between her age and each of the guys was more than 5 years.
So, D-H>5
J-H>5
D-H=5---2
J-H=5
So, D=J
Substitute in 1
2D+H=70 --3
Substitute the value of H from --3 in 2
D-70+2D=5
D=25
So, J = 25
Substitute values in 1
H+25+25=70
H=20
Hence the age of Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Write the equation to be used to solve this equation.
Answer:
45÷5=9-2=7 is this the equation took so long but got the right answer
List the following in order from least to greatest 20,2-2,(-2)2,-22
Answer:
(-22) ,- (2)2 , 2-2 , 20
Step-by-step explanation:
negative then postive
20
2-2=0
(-2)*2=(-4)
-22
hope this helps :)
brainliest?
1. If what you gain daily continues in this manner, how much gain can you expect at the end of the week?
2. Is your gain shows a pattern? If yes, find its general rul
3. Using the general rule, compute for your expected gain at the end of 30 days.
Maria needs 23 ounces of water and 57 gallons of milk. The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99. If The water is supposed to be measured in ounces how many ounces is the milk going to be measured in and how much would it cost,
Given :
Maria needs 23 ounces of water and 57 gallons of milk.
The cost of the milk is $9.20 per gallon and the cost of the water bottles is $2.99.
To Find :
How many ounces is the milk going to be measured in and how much would it cost.
Solution :
We know, 1 gallon = 128 ounces.
So, 57 gallon of milk = 57×128 = 7296 ounces.
Cost of 1 gallon milk = $9.20 .
So, cost of 57 gallon is = 57×9.20 = $524.4
Therefore, volume in ounces is 7296 and cost is $524.4 .
Hence, this is the required solution.
13. To rent a car, you pay a one-time charge of $45 plus a charge of $0.29 for
every mile that you drive. If you drive 120 miles, how much is the total charge for
the rental car?
(c) $79.80
(a)' $75.29
(d) $74.71
(b) . $165.29
(e) none of these
Please show the work
Answer:
The correct choice is (c) $79.80
Step-by-step explanation:
The total charge for renting a car can be split into two parts:
A fixed one-time charge of $45
A variable charge of $0.29 per driven mile.
If I drive 120 miles, the variable charge will be 120*0.29 = $34.80
The total charge will be $45 + $34.80 = $79.80
The correct choice is (c) $79.80
Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for x
Distribute 4: 4x - 8 = 3x + 1Subtract 3x on both sides: x - 8 = 1Add 8 to both sides: x = 9Step 3: Check
Plug in x to verify it's a solution.
Substitute: 4(9 - 2) = 3(9) + 1Parenthesis (add): 4(7) = 3(9) + 1Multiply: 28 = 27 + 1Add: 28 = 28Solve the equation.
8 - 2x = -8x + 14
O x= -1
O x=
5
3
O x
O x= 1
Answer:
x = 1
Step-by-step explanation:
8 - 2x = -8x + 14
-2x + 8x = 14 - 8
6x = 6
x = 1
x=1 is the solution of the equation 8 - 2x = -8x + 14
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 8 - 2x = -8x + 14
x is the variable in the equation
Plus and minus are the operators
We have to solve for x
Take the variable terms one side and constants on other side
8x-2x=14-8
6x=6
Divide both sides by 6
x=1
Hence, x=1 is the solution of the equation 8 - 2x = -8x + 14
To learn more on Equation:
https://brainly.com/question/10413253
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plzzzz help i need a lot of help
Answer:
First of all, <F is 63 degrees because of sum of angles in a triangle is equal to 180.
We know that the biggest angle in a triangle is always opposite the biggest side in a triangle, and vice versa. So, you can say that since <E is the smallest angle, the side opposite to it, side FD, is the shortest. Using just that, you can eliminate all options except the first and fifth. Now, <F is the second largest after that, and it's opposite to side DE. That piece of information helps you decide that the answer is Option Five (even though it's not numbered).
The option: FD<DE<EF
Hope this helps!
Why do people think maths as a hard subject
Do you feel math is hard
Mrs. Trout can bake 5 dozen
cookies in 70 minutes. How
many dozen can she bake in
112 minutes?
Answer:
She can bake 8 dozen cookies in 112 minutes.
Step-by-step explanation:
70/5 =14
112/14= 8
Evaluate the expression when c=4. c2 +6c+8
(the 2 after the c is one of those mini high 2's.)
Answer:
48
Step-by-step explanation:
Jocelyn bought 11 chicken wings for $18.70. What was the cost of the wings, in dollars per wing?
Answer:
$1.70 per wing
Step-by-step explanation:
To find the cost per wing, take the total cost and divide by the number of wings
18.70/11
$1.70 per wing
3.94x+36 =15.5236+
6x
Answer
i think its 9.94
Step-by-step explanation:
Answer:
x = 9.94
Step-by-step explanation:
It’s the first one that I need help with
Answer:
4x-3(6x-1)=-11Step-by-step explanation:
6x-y=1
-y=-6x+1
y=6x-1
4x-3y=-11
4x-3(6x-1)=-11Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.
Answer:
1147 days
Step-by-step explanation:
3x365= 1095
7x7=49
1095+49+3=1147
3 3/4 x 1 1/10 Multiplying and dividing mixed numbers
Answer:
I hope this is what you were needing the answer to!
Points A and B lie on a circle with radius 1, and arc
⌢
AB
has a length of
π
3
. What fraction of the circumference of the circle is the length of arc
⌢
AB
?
Answer:
arc AB=16 circumference
Step-by-step explanation:
The circumference of a circle with radius
r=1
has a length
C1=2rπ=2π
An arc length of π 3 represents π
32π = 132 + 16 of this circumference
A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4
What integer divided by -5 equals -6?
-30
24
-24
30
Answer:
30
Step-by-step explanation:
30/-5=-6
due to integer rules the number would be negative
713.49 written in standard form
Answer:
7.1349 * 102
Step-by-step explanation:
Hope this helps. Have a great day!
To float in water, an object must have a density of less than 1 gram per milliliter. The density of a fresh egg is about 1.2 grams per milliliter. If the density of a spoiled egg is about 0.3 grams per milliliter less than that of a fresh egg, what is the density of a spoiled egg? How can you use water to tell if an egg is spoiled?
Density of fresh egg = 1.2 g/cm³.
Density of spoiled egg = Density of fresh egg - 0.3 g/cm³.
Density of spoiled egg =( 1.2 - 0.3 ) g/cm³ = 0.9 g/cm³.
Now, it is given that any object with density less than 1 g/cm³ will float on water.
To tell whether an egg is spoiled or not using water. We should drop egg in water if it float then it is spoiled else it is fresh.
Hence, this is the required solution.
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
What are two different decimals that when rounded to the nearest thousandth would give 5.24 as an answer
Answer: 5.2387 and 5.2437
Step-by-step explanation:
Consumer Math Test
You borrow $13,000 to buy a car. You borrow the money for 4 years and the interest rate is 2.5%
Answer:
$1300 hope this helps
Step-by-step explanation:
i= prn/100
i= 1300x2.5x4/100
i= $1300