Check the picture below.
[tex]\stackrel{X}{1\frac{1}{2}}~~ + ~~\stackrel{X}{1\frac{3}{4}}~~ + ~~\stackrel{X}{1\frac{3}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5[/tex]
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answer:
She answered 8 of them correctly.
Step-by-step explanation:
Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]
[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Area of map.
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]
So, let's begin
[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,
[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]
Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]
________________________________
Hope it helps you:)
There are two parts to this question.
part 1: Solve for x
part 2: what is the length of AB
AB = BD is given. Therefore,
7x + 10 = 9x-2
10 + 2 = 9x - 7x
12 = 2x
x = 2
Now, Put the value of x in value of AB
AB = 7x + 10
AB = 7 × 2 + 10
AB = 14 + 10
AB = 24
please please help me
Answer:
D. 102.6 in²
Step-by-step explanation:
The area of the square is 9 in² (3 × 3 = 9)
The area of the rectangle is 30 in² (3 × 10 = 30)
The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)
Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Square:
side = 3 in
[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]
= 3*3
= 9 square inches
Rectangle:
length = 10 in
width = 3 in
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 10 *3
= 30 inches
Circle:
diameter = 9 in
radius = 9 ÷ 2 = 4.5 in
[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]
= 3.14 * 4.5 *4.5
= 63.6 square inches
Total area = area of square + area of rectangle + area of circle
= 9 + 30 + 63.6
= 102.6 square inches
WILL GIVE BRAINLIEST
A student was calculating the residuals of a linear regression equation. The largest residual value found was between 0.90 and 1. What could be said about the data?
Answer:there is a very strong corolation
Step-by-step explanation:
i dont know what to do for tis
Answer:
is this by any chance about simultaneous equations? If so,
Step-by-step explanation:
Step 1 is telling us to decide on whether x and y should be the unknown. For instance, you want x to be the unknown, so u solve for x.
Step 2 is telling us to write equations with x and y.
For example,
7x + 5y = 12
7x - 2y = 9
This may not be accurate but it is an equation.
Step 4 is telling us to check whether the solution is accurate or not. For instance, we say 7 is x. so we substitude 7 into the original equation to see whether the answer we found is correct.
For step 5, im not really sure.
hope this helps though???
How do you use double angles to simplify equations? Please provide an example.
Answer:
provide an equation
ill let you know
Giving Brainliest again!
(It's very easy)
Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta. And his brother 1/6 of the pot. How much of the pot is left over?
Answer:
9/12 or 3/4
Step-by-step explanation:
1/6 = 2/12
2/12 + 1/12 = 3/12
12/12 - 3/12 = 9/12
9/12 simplified is 3/4
What do we do to both sides of this equation to solve?
x/3 =5
Question 4 options:
Add 3 to both sides
Subtract 3 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Multiply both sides by 3
Step-by-step explanation:
x/3 = 5
x/3 × 3 = 5×3
x = 15
Answer:
multipy both sides by 3
Step-by-step explanation:
A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.
Answer:
14 mph
Step-by-step explanation:
Speed of boat in calm water = x
Speed of current = y
Speed of boat with the current = 72 mi / 4 hr = 18 mph
Speed of boat against current = 40 mi / 4 hr = 10 mph
x + y = 18
x - y = 10
2x = 28
x = 14
Answer: 14 mph
Answer:
14 m/hr
Step-by-step explanation:
72 m / 4 hr = 18 m/hr
40 m / 4 hr = 10 m/hr
still water speed = (18+ 10 )/2 = 14 m/hr
current speed (14 -x) 4 = 40
x = current speed = 4 m/hr
Three friends combine their
money to buy tickets for a hockey game. If they
share the change evenly, how much will each
friend receive? Write equations to represent the problem then solve.
Using proportions, considering that they spent $n to buy the ticket, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we consider that they spent $n to buy the ticket. Since there are 3 friends and the amounts were divided evenly, each friend received an amount in dollars of [tex]\frac{n}{3}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
What does AC=?
Round your answer to the nearest hundredth.
Please help
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = [tex]\frac{adjacent}{hypotenuse }[/tex]
cos(40) = [tex]\frac{x}{4}[/tex]
0.766 ≈ [tex]\frac{x}{4}[/tex]
3.06 ≈ x
x ≈ 3.06
HELP PLS MY SISTER NEEDS HELP A LOT I WILL GIVE BRAINLIEST
Answer:
38 is the correct answer
Step-by-step explanation:
6 x 7 - 16 ÷ 4
BODMAS
Division first
6 x 7 - 4
Then multiplication
42 - 4
Then subtraction
=38
50% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?
Answer:
186
Step-by-step explanation:
186-50%= 93 or since 50% is half off 93×2=186.
PLEASE HELP BRAINLIEST AND 10 POINTS
A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?
47 lbs
hope this helps
WHOEVER ANSWERS THE QUESTION FIRST WILL GET 15 POINTS!!!!!
Answer:
b
Step-by-step explanation:
the answer is b
in the problem you can put the expression into a calculator and you will get the answer 3
in option b, y+2=3 bc a variable is always equal to one so your basically adding 1+2 which is equal to 3
I HOPE I HELPED A BIT<3
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 310 miles on 10 gallons of gas. How far could you drive on 70 gallons of gas? What is the car’s gas mileage?
Answer:
i) Gas mileage = 31 miles
ii) 2170 miles = 70 gallons
Step-by-step explanation (i):310 miles on 10 gallons of gas.
⇒ 310 miles = 10 gallons
⇒ 310/10 miles = 10/10 gallons
⇒ 31 miles = 1 gallon
Gas mileage = 31 miles
Step-by-step explanation (ii):⇒ 31 miles = 1 gallon
⇒ 31 x 70 miles = 1 x 70 gallon
⇒ 2170 miles = 70 gallons
i really need help please
Answer:
56⁰
Step-by-step explanation:
I hope it helps you
If any doubts do let me know in the comments
What is −1/8÷7/24?
Enter your answer in the box as a fraction in simplest form.
what is 2x2x32 to the 2 power
Answer:
16384
Step-by-step explanation:
Here is how you do it : (2*2*32)^(2)
Could 13.5cm, 8.0cm, 3.5cm, be the side lengths of a triangle
Answer:
No
Step-by-step explanation:
The biggest is the third side and the other two triangles have to bigger than that side and 8.0 plus 3.5 equals 11.5.
What is the square root of –16?
–8i
–4i
4i
8i
Mrs. Hynes gave each of her 8
students 3 pieces of candy. She
gave 1 student 2 extra pieces for
good behavior. How many pieces of
candy did she
give away in all?
PLEASE HELP and show work too please
Can someone please help me?
Answer:
152 ft²
Step-by-step explanation:
First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².
Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².
Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².
Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².
Hope this helps!
Help!!!!
20. A class of 27 students is standing in front of a Do-It-Yourself Photo Booth. "Let's get
a picture of every possible pair of us," suggested Bart. "Well, gee," answered Mandy,
"that'd be a lot of pictures." How many pictures exactly?
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
There are 13 or 14 pictures can be taken.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
We have,
Total students at booth= 27 students
Number of person in a group = 2
Then, the possible number of pictures can be
x = 26/2
x= 13
Since one person is left and have a single photo which shows total 14 pictures.
Learn more about Algebra here:
https://brainly.com/question/24875240
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There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container
What is the surface area of the figure below
Answer: Its 120 cm
Step-by-step-explenation:
All you have to do is multiply
3x2=6
6x5=30
30x4=120
-100x – 100 = 0
-100x =
X =
Answer:
-1
Step-by-step explanation:
-100x-100=0
-100x=100
x/-100=100/-100
x=-1
When you are solving for a variable your goal is to get the variable by it seff.
x = -1
- 100x = 100
Step-by-step explanation:
[tex] - 100x - 100 = 0[/tex]
Move the constant to the right side and change the sign
[tex] - 100x = 100[/tex]
Change the sign of both side of the equation
[tex]100x = - 100[/tex]
Divide both side by the same number
[tex]x = - 1[/tex]
[tex] - 100x[/tex]
[tex] - 100 \times - 1[/tex]
Remove the ( - ) sign since negative number are multiplied by even number...
[tex]100 \times 1 \\ 100[/tex]
E
H
36
X + 10
57°
370
(5y + 7)º
G
60
F
J
36
1
Triangle FEG is similar to triangle IHJ. Find m_H.
mZH =
What is the answer?
Answer: 86 degrees
Step-by-step explanation: