Answer:
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
Step-by-step explanation:
From Geometry we remember that the perimeter ([tex]p[/tex]), measured in centimeters, of a rectangle is determined by the following formula:
[tex]p = 2\cdot w +2\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width of the rectangle, measured in centimeters.
[tex]l[/tex] - Length of the rectangle, measured in centimeters.
If we know that [tex]p = 56\,cm[/tex], [tex]l = 6\cdot x - 7[/tex] and [tex]w = 2\cdot x + 3[/tex], then the value of [tex]x[/tex] is:
[tex]2\cdot (2\cdot x +3)+2\cdot (6\cdot x-7) = 56[/tex]
[tex]4\cdot x +6 +12\cdot x -14 = 56[/tex]
[tex]16\cdot x-8 = 56[/tex]
[tex]16\cdot x = 64[/tex]
[tex]x = 4[/tex]
And the length and the width of the rectangle are, respectively:
[tex]l = 6\cdot (4)-7[/tex]
[tex]l = 17\,cm[/tex]
[tex]w =2\cdot (4)+3[/tex]
[tex]w = 11\,cm[/tex]
The dimensions of the rectangle are: Length: 17 centimeters, Width: 11 centimeters.
A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin. You instead decide to make
mini-muffins, and the recipe yields 20 mini-muffins. If you eat 7 mini-muffins, how many calories will you consume?
Answer:
If you eat 7 mini-muffins, will you consume 1134 calories.
Step-by-step explanation:
A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin.
i.e.
No of muffins = 12 muffinsCalories per muffin = 270 caloriesTotal calories of standard muffins = 270 × 12 = 3240 calories
If the same amount of calories are made by 20 mini-muffins, then the total number of calories per mini-muffin will be:
3240/20 = [tex]162[/tex] calories per muffin
As you ate 7 mini-muffins.
Thus,
Your eaten calories = 162 × 7 ∵ 162 calories per muffin
= 1134 calories
Therefore, if you eat 7 mini-muffins, will you consume 1134 calories.
help I need to know how to do it step by step asap
Answer:
y=1/4x+3
Step-by-step explanation:
Nathan purchases a digital camera for his family to use on their vacation. The model he purchases is on sale for $129. The sales tax rate for his city is 7%. How much sales tax does Nathan pay on the digital camera?
Estimate 5,860÷2.1≈
i really need help on it.
Answer: it 2790
Step-by-step explanation:
The value of 5,860÷2.1 is 2790.
What is division?
In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.
What are the terminologies used in the division?dividend, divisor, quotient remainder.Learn more about division here: https://brainly.com/question/25289437
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There were 640 gallons of water in a 1,600-gallon pool. Water is being pumped into the pool at a rate of 320 gallons per hour.
If t stands for hours and the pool is being filled using the equation: 1600=320t+640, how many hours will it take to fill the pool?
Answer:
4
Step-by-step explanation:
do 320 +320 untill you get to 1,600
what is the aswer need asap
Find the first five terms of the following sequence, not including the oth term:
t(n) = 25+ 8n
Answer:e
B
Step-by-step explanation:
Eb
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-5
Step-by-step explanation:
[tex]f(x) = - 5 \\ \\ plug \: x = - 4 \\ \\ f( - 4) = - 5[/tex]
Since it is constant function so the value will remain unchanged.
Original price: $70; Markup: 15%. What is theretail price?
If you answer I will give you brain-lest :)
Answer:
80.50
Step-by-step explanation:
profit=$10.50
i would like a brailiest if you dont mind
Answer:
If it's percents, the answer is 10.5
Step-by-step explanation:
If 28 strawberries make 4 smoothies how many smoothies make 70 strawberries
28 ......> 4
70........> x
28x=4(70)
28x=280
X=10
Answer:
i think 10 im not sure dont go for my answer. because i did 70÷7=10 because 28÷4=7
What is the image of (−5,9) after a reflection over the y-axis?
Answer:
(5, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
(- 5, 9 ) → (5, 9 )
Rylee saved $9 on a $60 pair of
shoes. What percent did she save?
Answer:
Answer is %15
Step-by-step explanation:
9/60 = 0.15
= >0.15 * 100 = 0.15
HURRRYYYYYYY PLEASEEEEEEEE
what is the answer to this question some one please help me (7−b)+(3b+2)
Answer:2b+9
Step-by-step explanation:
PLEASE HELP ME ASAP!!
Answer:
it would be (1,-3) because those point are in the shaded region. therefore it is a solution
Step-by-step explanation:
Answer:
(1,-3) is right
Step-by-step explanation:
A business had a profit of $4,312.31 in one month. The next month, the business had a loss of
$1,025.19. What was the total profit for these two months?
Answer:
3287 12
Step-by-step explanation:
subtract the second number from the first number
The total profit for these two months is $3287.12
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
Given;
Profit of business in first month= $4,312.31
Loss of business in first month= $1,025.19
Total profit= Profit - loss
=4312.31-1025.19
=3287.12
So, the profit made will be $3287.12
Learn more about the profit and loss please visit the link given below;
https://brainly.com/question/23423168
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Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
Answer:
the first is linear and the second is exponential
Answer:
Linear and Neither
Step-by-step explanation:
Got the answer from the test because I got it wrong and it said this was the right answer.
Ling earns $108 for working 9 hours. Rachel earns $77 for working 7 hours. Ruben earns $92 for working 8 hours. Patrick earns $115 for working 10 hours. Who has the highest hourly wage? A. Ling B. Rachel C. Ruben D. Patrick
Answer:
A. Ling
Step-by-step explanation:
we want to find the hourly earning
Ling earns $108 for working 9 hours.
hourly earnings is
108/9=$12 per hour
Rachel earns $77 for working 7 hours.
hourly earnings is
77/7=$11 per hour
Ruben earns $92 for working 8 hours.
hourly earnings is
92/8=$11.5 per hour
Patrick earns $115 for working 10 hours.
hourly earnings is
115/10=$11.5 per hour
CAN SOMEONE HELP ME PLEASE
Maria is trying to estimate y70. She uses this table of values:
Square 8.028.12 8.22 8.32 8.42
8.52
Value
64.0 65.6 67.2 68.9 70.6
72.3
Square 8.628.728.82
8.92 9.02
Value
74.0
75.7 77.4 79.281.0
What should she do next to find y70 to the nearest hundredth?
Answer:
The answer is A. She should find the squares of numbers between 8.3 and 8.4.
Step-by-step explanation:
I took the quiz
PLEASE HELPPP
What is the side length if the area of the square is 121 cm??
А
121 cm
B.
11 cm
с
12 cm
D
13 cm
Answer:
B: 11
Step-by-step explanation:
121 is the area. Since a square is a shape with all even sides you need to find one number that multiplies by itself to get 121. 11x11=121
B: 11
A number squared increased by 5 is 41
AYOOOOOO can someone help pls
Answer:
B
Step-by-step explanation:
look at the arrow on answer B it hits 1 on x axis and 6 on y axis. do the math 6x10=60
The ages of ten employees at a small company are shown below.
30, 32, 35, 35, 38, 38, 38, 40, 40, 45
If the data set were expanded to include a new employee who is 20 years old, how would the mean of the data set change?
A) The mean decreases by 2 years.
B) The mean decreases by about I .6 years.
C) The mean increases by about 1.6 years.
D) The mean does not change.
Answer:
B
Step-by-step explanation:
Before you add 20 the mean is 37.1 after you add 20 it’s 35.54.
37.1-35.54=1.56
Round 1.56 to 1.6
Identify The domain of the rational function, g(x)= 1/x+3
A (-∞, ∞)
B (-∞, 3)U(3, ∞)
C (-∞, -3]U[-3, ∞)
D (-∞, -3)U(-3, ∞)
Answer:
The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D
Step-by-step explanation:
The domain of the rational fraction is the values of x which make the fraction defined. That means the domain does not contain the values of x which make the denominator equal to 0.
∵ g(x) = [tex]\frac{1}{x+3}[/tex]
∴ The denominator = x + 3
→ Equate the denominator by 0
∵ x + 3 = 0
→ Subtract 3 from both sides
∴ x + 3 - 3 = 0 - 3
∴ x = -3
→ That means the domain can not have -3 because it makes the denominator
equal to 0
∴ The domain is all values of real numbers except x = -3
∴ The domain = {x : x ∈ R, x ≠ -3}
∴ The domain = (-∞ , -3) ∪ (-3, ∞)
Need help plsss
Question is below
Answer:
Step-by-step ex
its 0.2
Sure blame the answer
Haley has volunteered to make costumes for the eighth-grade play. She needs to make 6 jester costumes. Each jester costume requires 4 3/4yards of fabric. How much fabric in yards, will Haley use in all?
Answer: I believe h\Haley needs 28.5 yards of fabric.
Step-by-step explanation:
4 3/4 x 6 = 28.5
Zoe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 6 hours and charged her $121 for parts. The total was $571. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answer:
571 = 121 + 6x
Step-by-step explanation:
Which equation is shown in the graph?
