Answer:
the answer is 202 square inch
Step-by-step explanation:
Ref. to the diagram I have attached.
First, we can find the area of the square.
Here the side of the square is given 4 inches.
1. So Area of the square= side * side= 4*4= 16 square inches.
Now let's find the area of the smaller rectangle. Now here,
As one side of the square is the same as the breadth of the rectangle, the breadth of the rectangle will be 4 inches, and the length is given 9 inches.
2. So, Area of the smaller rectangle= length* breadth= 9*4= 36 square inches.
Now, lastly, we will find the area of the bigger rectangle:
Here, the length will be 15 inches and the breadth will be 10 inches (as the opposite sides in a rectangle are equal and the values are already given).
3. ∴ Area of bigger rectangle= l*b= 15*10= 150 square inches.
So now,
To find the total area of the figure, we need to add all the areas:
36+ 16+ 150= 202 square in.
ANSWER IS 202 sq. in.
I know it's a bit long and boring to read, but hope it helps!!
Solve this pls 4x+32=5x-22
Answer:
54
Step-by-step explanation:
4x + 32 = 5x -22
Group like terms
32 + 22 = 5x - 4x
54 = X
X = 54
Answer:
x = 54
Step-by-step explanation:
4x + 32 = 5x - 22
5x - 4x = 32 + 22
x = 54
To clarify this,
(4 x 54) + 32 = 248
(5 x 54) - 22 = 248
there are 56 customer in a shop 24 of them are men the rest of the customer are women find the ratio of the number of men to the number of women in the shop
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6
Answer:
answer is x=5, not x=6
Step-by-step explanation:
I don't really understand how this is structured, but the correct way of solving this is
2(3x − 4) = 8 + 2x + 4
do distributive property.
6x - 8 = 8 + 2x + 4
subtract 2x on both sides.
you get...
4x - 8 = 12
add 8 on both sides.
4x =20
divide by 4
x = 5
Next year Phil and Matt may sell the cookies for $50 each. They plan to make the same total number of cookies, but they predict that they will only sell of them given the price increase. Based on their prediction, should Phil and Matt raise the price of the cookies? Justify your answer.
Enter your answer and your justification in the box provided.
Answer:
No, they should not raise the price of the cookies. Because they are going to sell more base on the equation above if they stick with the original price.
please someone help me with this exercise I don't understand it and I really need it
Linda deposited $200 in an account earning 5% interest compounded annually.
To the nearest cent, how much will she have in 2 years?
Rounding to the nearest cent, Linda will have $220.50 in 2 years after 1 year, the amount Linda.
what is amount ?The word "amount" in mathematics refers to something's quantity or value in general. Depending on the context, it may refer to a wide range of concepts. "Amount" can, among other things, refer to the total value of a group of numbers, the total price of an acquisition, the total number of items in a collection, or the total amount of money in an account. The word "amount" is frequently used in financial situations to refer particularly to a sum of money, either as a total value or as a specific payment or transaction.
given
After 1 year, the amount Linda will have is:
200 * 1.05 = $210
After 2 years, the amount Linda will have is:
210 * 1.05 = $220.50
Rounding to the nearest cent, Linda will have $220.50 in 2 years after 1 year, the amount Linda.
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2x + 3y = 13
4x - y = -2
Answer:
Step-by-step explanation:
Solve the following system:
{3 y + 2 x = -2 | (equation 1)
{-y + 52 x = -2 | (equation 2)
Swap equation 1 with equation 2:
{52 x - y = -2 | (equation 1)
{2 x + 3 y = -2 | (equation 2)
Subtract 1/26 × (equation 1) from equation 2:
{52 x - y = -2 | (equation 1)
{0 x + (79 y)/26 = -25/13 | (equation 2)
Multiply equation 2 by 26:
{52 x - y = -2 | (equation 1)
{0 x + 79 y = -50 | (equation 2)
Divide equation 2 by 79:
{52 x - y = -2 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Add equation 2 to equation 1:
{52 x + 0 y = -208/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Divide equation 1 by 52:
{x + 0 y = -4/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Collect results:
Answer: {x = -4/79, y=-50/79
Use the equation n2 n = 56 to determine which figure has 56 blocks. figure has 56 blocks.
The factor of the quadratic equation n² + n = 56 is (n + 8)(n - 7). Then the value of the n is 7 and negative 8.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The quadratic equation will be given below.
n² + n = 56
The equation can be written as
n² + n - 56 = 0
On factorization, we have
n² + n - 56 = 0
n² + 8n - 7n - 56 = 0
(n + 8)(n - 7) = 0
n = 7, -8
The value of the n is 7 and negative 8.
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Answer:
Figure 7 has 56 blocks.
Step-by-step explanation:
What is the inverse of Vx +4,
Answer:
c. X^2 - 4
Step-by-step explanation:
Replace X with Y
X = Sqrt(Y+4)
square both sides to solve for Y
X^2 = Y+4
subtract 4 from both sides
X^2 - 4 = Y
answer option C is correct
What is the value of c in the equation below?
2^-4 x 2^2 = a^b = c
Answer:
[tex]\frac{1}{64}[/tex]
The third option.
Step-by-step explanation:
How much tax will be paid on an item with a 7.5% tax rate that is $1425.89? Round to the nearest cent and do not include a dollar sign
Answer:
1,616.00
Step-by-step explanation:
sorry if this is wrong
The tax on the item costs $1425.89 is 106.94175 dollars.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Given that, tax rate =7.5% and the cost of an item = $1425.89.
Here, tax = 7.5% of 1425.89
= 7.5/100 ×1425.89
= 0.075×1425.89
= $106.94175
Therefore, the tax on the item costs $1425.89 is 106.94175 dollars.
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Morgan’s math scores were 82, 85, 89, 94 and 100. What was the mean of her scores?
Answer: 90
Step-by-step explanation:
add all numbers up:
82+85+89+94+100=450
divide by amount of numbers
450/5=90
Identify the percent of change as an increase or decrease 15 ounces to 5 ounces
Answer:
it us 67%
Step-by-step explanation:
:))))))) good luck
Tommy ran 15.4 miles in 7 days. How many miles did Tommy run per day
Mr. gonzalez earns his living as a salary plus commission employee. his annual salary is $18,000. he makes 4% commission on all of his sales. mr. gonzalez wants to earn $60,000 this year. if his earnings are divided evenly throughout the year, how much in monthly sales would mr. gonzalez need to have? a. $37,500 b. $87,500 c. $100,000 d. $125,000 please select the best answer from the choices provided a b c d
In monthly sales would mr. gonzalez need to have $100000
Mr. Gonzalez earns his living as a salary plus commission employee, then his annual earnings can be represented by
What is the formula for monthly earning?Monthly earnings=a+bx
Where a =his annual salary (fixed),
b = the percentage of sales commission and
X =represents the volume of sales made each year.
Therefore When Mr. Gonzalez annual salary is $18,000 and makes a commission of 4%, his annual sales that will enable him earn an annual salary of $60,000 will be equal to
$60000 = $18000 + 0.04X
$60000 - $18000 = 0.04X
$48000 = 0.04X
0.04X = $1200000
X = $48000/0.04=12000000
X=$12000000
Therefore, his monthly sales is given by his earnings divided evenly each month is equal to
$1200000/12=$100000
So the option c is correct.
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Answer:c
Step-by-step explanation:
How did Morgan solved the equation x2 - 10x + 2 = 0
Answer
Force a perfect square trinomial on the left side. Take the square root of both sides and solve for
3√ 3, − 5 − 3 √ 3
Step-by-step explanation:
Leah flips a coin and then she spins the spinner with 3 equal sections colored red green and blue what is the probility that the coin flips heads and the spinner lands on wither red or blue enter youanwser a percentage to the nearest percent
Answer:
33%
Step-by-step explanation:
Prob(heads) = 1/2
Prob(either red or blue) = 2/3
So Prob( heads and red/blue) = 1/2 * 2/3
= 2/6
= 1/3 which is 33%.
Find the product of 5.21 and 3.4
Step-by-step explanation:
5.21× 3.4 = 17.714
thank u
A student has taken 5 quizzes. She would like to have at least 90% average. What must her fifth score be to achieve her goal?
90, 85, 86, 93, x
Answer:
she needs 96 in the fifth quiz
Word problem. Help!! Will give brainlist
Answer:
133 degrees
Step-by-step explanation:
Supplementary angles equal 180.
the 1st angle is 180, so we do:
180-47
the answer is 133
Romeo has a work that pays 100 pesos per 1 hour. How much would he make in 10 hours?
Answer: he would get 1000
Step-by-step explanation:
100 x 10 =1000
Answer:
$1,000
Step-by-step explanation:
Since he makes 100 pesos in 1 hour, all you have to do is multiply 100 by 10. When multiplying a number by 10, all you do is move the decimal point back one. In this case, our decimal point is imaginary, so when we move it back one, you just add a zero at the end of the number. That gives you 1000.
PLEASE HELPP ITS DUE IN A HOUR
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13.5 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.
The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The following dimensions represent the rectangular length and width dimensions of the furniture.
Bed: 60 inches by 80 inches
Nightstand: 18 inches by 18 inches
Dresser: 64 inches by 18 inches
Charlotte plans to place the bed in the center of one of the long walls of the room. And, she plans to place the dresser in the center of the opposite long wall. The nightstand will be placed on one side of the bed.
Using the scale 1/4, inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture
Answer:
what happening to you
please answer your very
how do you do this???
Answer:
i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5
Step-by-step explanation:
Can I please have brainliest
Please help!!!!!!!!!!!!!!!!1
Answer:
The correct answer is C: [tex]t\leq 58[/tex]
Step-by-step explanation:
In order to solve this problem, start by first creating an inequality to represent the situation above. The price of the hours and the supply fee can't go over $1,500, so you can set the representative inequality as [tex]25t+50\leq 1500[/tex]. Now solve the inequality, and you will get [tex]25t+50\leq 1500[/tex] => [tex]25t\leq 1450[/tex] => [tex]t\leq 58[/tex] hrs. So C is the correct answer.
Answer:
The answer is C.t is less than or equal to 58.
Step-by-step explanation:
Let x = Number of tutoring sessions
Supplies + tutoring cost = total cost
50 + 25x = 1500
Now need to solve:
Subtract 50 from both sides and simplify
50/ + 25x - 50 = 1500 - 50
25x = 1450
Divide both sides by 25 and simplify
25x/25 = 1450/25
Therefore,
[tex]x\leq 58[/tex]
Could someone explain each one of these questions (apart from a) step by step? Thanks!
part c:
100-3t = 64
100-64 = 3t
36 = 3t
t = 12
part d:
1/2 (x-5) = 9
x-5 = 9 / (1/2)
x-5 = 18
x = 23
Which of the following is equivalent to 24:72?
a. 1:3 b. 2:4 c. 2:3 d. 3:1
Answer: 1:3 A
Step-by-step explanation:
if you multiply 24 by 3 you get 72 it shows that 1:3 is equivalent! your welcome
Graph the piecewise function.
Answer: First Option is correct.
Step-by-step explanation:
Since we have given that
\begin{gathered}f(x)=-x+1,x < 0\\\\f(x)=x+1,x\geq 0\end{gathered}
f(x)=−x+1,x<0
f(x)=x+1,x≥0
If we let f(x)=y
then, y=x+1 and y=-x+1
Put x=0,
\begin{gathered}y=0+1\\\\y=1\end{gathered}
y=0+1
y=1
so, there must be coordinate on y -axis at 1.
and it must take Ist and II nd quadrant .
Hence, First Option is correct.
Solve for x and round to near tenth
Answer:
Step-by-step explanation:
[tex]\sf Cos \ x = \dfrac{adjacent \ side}{hypotenuse}\\\\\\cos \ x =\dfrac{4}{9}\\\\\\Cos \ x = 0.44\\\\x = Cos^{-1} \ (0.44)\\[/tex]
x = 63.9°
In the diagram, BD is a diameter of circle A. If the slope of BE is 3/2, what is the slope of BD
Answer:
Step-by-step explanation:
the slopes are perpendicular
find a slope perpendicular to 3/2
how to find:
change the sign of the slope and flip the fraction
-2/3 is the slope
The slope of BD is -2/3.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
BD is a diameter of circle A. If the slope of BE is 3/2.
We have to find the slope of BD.
According to given question we have
We know that the slope of a perpendicular line from the slope of a given line is obtained by taking the negative reciprocal of the slope of the given line. If the slope of the given line is [tex]m_{1}[/tex] and the slope of a perpendicular line is [tex]m_{2}[/tex] then we have
[tex]m_{2} = -1/m_{1}[/tex]
So, the slope of BD is -2/3.
Therefore, the slope of BD is -2/3.
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According to the image below, which season is about to begin in the southern hemisphere?
O Summer
O Autumn
O Winter
O Spring
Answer:
Step-by-step explanation:
this would be summer. because i took le test puddin -Love harley