A square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 32 square feet. Find the lengths of the sides of the poster and the sign?
Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−52
The solution for x in the equation 4 - (2x + 4) = 5 is x = -5/2. So, the correct choice is x = -5/2. Option c is the correct choice.
To solve for x in the equation 4 - (2x + 4) = 5, follow these steps:
1. First, simplify the equation by combining like terms. Start by removing the parentheses by distributing the negative sign:
4 - 2x - 4 = 5
2. Now, simplify further by combining the constants on the left side of the equation:
(4 - 4) - 2x = 5
0 - 2x = 5
3. Next, isolate the variable x by getting rid of the -2 coefficient. To do this, divide both sides of the equation by -2:
(0 - 2x) / -2 = 5 / -2
0 / -2 - (2x / -2) = -5/2
0 + x = -5/2
4. Finally, simplify:
x = -5/2
So, the solution for x is:
x = -5/2
So, Option c is the correct choice.
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Que. Solve for x. 4−(2x+4)=5
A x=6
B x=−10
C x=−5/2
Order square root of three, 2pi, and 1.5 from least to greatest
Answer to both of these?
Tony rounded each of the numbers 1,210 and 1,148 to the nearest hundred. Which choice correctly compares the rounded numbers?
The process of rounding numbers 1,210 and 1,148 to the nearest hundred results in 1,200 and 1,100, respectively. Therefore, 1,200 is greater than 1,100.
Explanation:In Mathematics, rounding numbers is common practice for simplifying calculations. We are given the numbers 1,210 and 1,148, and we need to round them to the nearest hundred.
Let's round them:
1,210 rounded to the nearest hundred is 1,200.1,148 rounded to the nearest hundred is 1,100.So, when comparing the rounded numbers, 1,200 is greater than 1,100.
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HELP PLEASE,
Part a of the question was posted earlier on.
if the perimeter of a rectangle is 318 inches, find the width and length. what's the answer?
Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 50 miles per hour and the other train travels at 60 miles per hour. How much time passes until the trains are 660 miles apart?
Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. After 2 hours, only 80 mg remain. Find an exponential model for the amount of aspirin in the bloodstream after t hours.
What are the factors of 27
Steps to divide 125.00 by 7.75
Identify the triangles that are right triangles.
if five notebooks cost $5.25, how much would three notebooks cost?
based on the census state A has 11 fewer electoral votes for president then state b. If the total number of electoral votes for these two states is 87 find the number for each state.
What are all the positive integers that are in the solution set for
m < 3
Jeff prepares meals in the home of his customers. His fixed cost for transportation and supplies is $14.50. The labor and groceries needed for each family meal is $8.80, so the expense function is E=5.7q+8.8. T or F
Answer:
The given equation is false
Step-by-step explanation:
Given equation : E= 5.7q+8.8
To show : It is true or false
Solution : Cost of transportation and supplies is fixed = $14.50
Cost of labor and groceries for each family meal =$8.80
Let x is the number of meals
so, according to the question Expense function for x number of meals is
Expense function = x(cost of labor and groceries for 1 family meal)+ cost of transportation and supplies(fixed)
E= 8.80x+14.50 which is the required equation.
Therefore, given equation is false.
Which equation represents a line that passes through (5, 1) and has a slope of ?
A. y – 5 = (x –1)
B. y – = 5(x –1)
C. y – 1 = (x –5)
D. y – 1 = 5
Y + z — 2y
If y=4 and z= 2
(Simplify)
Create a process that will calculate the series 1 + x + x2 + x3 + x4 .......... + xn where x is a floating point number and n is a positive number. you process should be designed so exponentiation (or the pow function in c++) is not needed.
Tyron is making 52 cookies fi a party. Some will be pecan cookies. Some will be honey ginger cookies . The ratio of pecan to honey ginger cookies will be 7:6 . Suppose you use systematic guess and check to find the number of each type of cookie
The length and width of a rectangle whose length is 8 centimeters more than its width
For a Circle of radius is 5 feet, find the arc length s subtended by a central angle of 42 degrees
The arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for arc length is given by:
s = rθ
where s is the arc length, r is the radius of the circle, and θ is the central angle subtended by the arc in radians.
To use this formula, we first need to convert the central angle from degrees to radians:
θ = (π/180) × 42 = 0.733 radians
Now we can plug in the values of r and θ into the formula to get:
s = 5 × 0.733
= 3.665 feet
Therefore, the arc length subtended by a central angle of 42 degrees in a circle of radius 5 feet is 3.665 feet.
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Select from the drop-down menu to correctly identify the property shown.
−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8)
A. Associative Property
B. Commutative Property
C. Opposite of a Sum Property
The answer is Commutative Property.
Answer:
Option B is correct.
Commutative property is used here.
Explanation:
Commutative Property states that we can add any number in any order, we will get the same result i.e, a+b = b+a.
let a = -4.8 and b = (3.2+(-1.6))
then, using commutative property we have;
a+b=b+a then,
−4.8 + (3.2 + (−1.6)) = (3.2 + (−1.6)) + (−4.8).
Write a number sentence that demonstrates each property.
Commutative property of addition
Associative property of addition
Identity property of addition
Answer:
a + b = b + a
(a + b) + c = c + (b + a)
0 + a = a
I hope this helps, have an amazing day!
805 tens in standard form
Jonah is playing a video racing game called Checkpoint. The speed of Jonah’s car is recorded four times during one lap. At the first checkpoint, his speed is 80 miles per hour. At the second checkpoint, his speed has reduced by 5%. At the third checkpoint, Jonah’s speed has increased by the speed from the previous checkpoint. At the fourth checkpoint, his speed decreased by 20% compared with the third checkpoint. What is Jonah’s net change in speed between the first and fourth checkpoints?
Answer:
negative 15 is your answer
Step-by-step explanation:
the last number was negative so it would be negative 15
Answer:
-15
Step-by-step explanation:
yes
A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
Using the 45°-45°-90° triangle theorem in a right triangle, where 'a' represents the triangle's leg that is also the trapezoid's height, 'h' equals 'a' and the hypotenuse is 'a' times √2. Additional information would be needed to solve for a numerical value of 'h'.
Explanation:In this problem, the wall's shape is a trapezoid, and we are using the 45°-45°-90° triangle theorem to find 'h', the height of the wall. We know in a 45°-45°-90° triangle, the two legs are congruent (same length), and the length of the hypotenuse is √2 times the length of a leg (based on Pythagorean theorem). In this case, if 'a' is the length of the triangle's leg connected to the rectangle, then 'h' would be equal to 'a' (since they are the legs in a 45-45-90 triangle), and the hypotenuse would be a√2.
Given an additional variable or measurement in this problem such as the length of the wall or the hypotenuse of the triangle, we could plug it in to solve for 'h'. Without additional information, the exact numerical height cannot be determined.
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Where did the Maya's lived?
Thanks,
-Laura B
The price of gourmet coffee beans at the corner market has increased 10% per year over the past several years if the current cost is $40 per pound what did a pound of gourmet beans cost two years ago
Answer: $32.4
Step-by-step explanation:
Given : The price of gourmet coffee beans at the corner market has increased 10% (0.1) per year over the past several years.
The current cost is $40 per pound .
The exponential decay equation is given by :-
[tex]y=A(1-r)^x[/tex], where r is the rate of decay and A is the initial amount and x is the time period.
Put A = 40 , r= 0.1 and t=2, we get
[tex]y=40(1-0.1)^2=\$32.4[/tex]
Hence, the cost of a pound of gourmet beans two years ago= $32.4
I need help on and c plz