Step-by-step explanation:
For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.
[tex]5m - 1m = 4m \\ \frac{4m}{2} = 2m \: each[/tex]
For the area of the rectangle:
[tex]base \times height = 1m \times 4m = 4 {m}^{2} [/tex]
For the area of each triangle:
[tex] \frac{1}{2} base \times height = \frac{1}{2} (2m)(4m) = 4m^{2} [/tex]
For the area of the trapezoid, just combine the two areas:
4m² + 4m² = 8m²
Answer:
For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.
For the area of the rectangle:
Step-by-step explanation:
For the area of each triangle:
For the area of the trapezoid, just combine the two areas:
4m² + 4m² = 8m²
The formula for the cost of buying a car is:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and
the deposit is £2000.
b) The cost of another car is £8000.
Find the monthly payment when the deposit is £2600.
Answer:
a) The cost of buying this car is of £6200.
b) The monthly payment is of £450.
Step-by-step explanation:
The cost of buying a car is given by:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.
So
cost = 12*350 + 2000 = 4200 + 2000 = 6200
The cost of buying this car is of £6200.
b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.
Again, the formula is applied. So
cost = 12 X monthly payment + deposit
8000 = 12x + 2600
12x = 5400
x = 5400/12
x = 450
The monthly payment is of £450.
Find the slope of the line through each pair of points.
1. (4,-16), (7,18)
2. (2,1), (-9, -3)
3. (-11,2), (15,5)
4. (5,6), (10, -12)
Answer:
1. 11 1/3
2. 4/11
3. 3/26
4. -18/5
Step-by-step explanation:
What are the quotient and remainder of (x^5- 1) /(x-1)?
Answer:
A
Step-by-step explanation:
x^4+x^3... remainder: 0
How many milligrams of medication are in 75 mL of a 2% solution?
Help
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which wich equation can my used to find how much of project she painted in all
Answer: The project is 7/8 painted.
Step-by-step explanation: Add 1/8 to 3/4 for the total.
Use the least common denominator, /8
3/4 is equivalent to 6/8.
6/8 + 1/8 = 7/8
Step-by-step explanation: To find how much of the wall Maya painted, we will add the two fractions. Let's do it step-by-step.
1. These fractions have unlike denominators, to make them alike, we have to find the LCD (Least Common Denominator).
3/4 = 6/8
1/8 = 1/8
Note: What you did to the bottom, you do to the top.
1a. I multiplied 2 by 3 and 4 to get 6/8.
1b. I multiplied 1 by 1 and 8 to get 1/8.
2. Since we have like denominators, we can add!
[tex]Solve:\frac{6}{8} +\frac{1}{8} = \frac{7}{8}[/tex]
Therefore, your answer is 7/8. The fraction don't need to be reduced to lowest terms.
Need help, please and thank you!
9514 1404 393
Answer:
y = -2·(1/2)^x
Step-by-step explanation:
The general form of the equation can be written as ...
y = a·b^x
where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.
From your table and graph, a = -2. From the table, ...
b = -1/-2 = 1/2
Then the exponential equation is ...
y = -2·(1/2)^x
3x - 2(6 - x) = 7x + 2(5 + x) - 6
What is the answer
Answer:
x= -4
Step-by-step explanation:
Answer: x = -4
Step-by-step explanation:
first, we remove the parentheses.
3x - 12 + 2x = 7x + 10 + 2x - 6
then, we cancel equal terms.
3x - 12 = 7x + 10 - 6
then, we calculate.
3x - 12 = 7x + 4
next, we move the terms.
3x - 7x = 4 + 12
then, we collect like terms and calculate.
-4x = 16
finally, we divide both sides.
x = -4
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
.83
Step-by-step explanation:
to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:
.83
hope this helps!!
someone help me please
13x+7
9x+9
Answer:
x= 1/2
Step-by-step explanation:
13x+7 and 9x+9 with x inserted in both equal 13.5
(if the equation was 13x+7=9x+9)
5(2a - 6) + 3a
The answer is 13a - 30 right?
Step-by-step explanation:
5(2a - 6) + 3a
10a - 30 + 3a
13a - 30
right
The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?
Answer:
Subtract 2 from both sides.
Step-by-step explanation:
Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
> Also, note the equal sign, what you do to one side, you do to the other side of the equation.
First step is to subtract 2 from both sides of the equation:
3x + 2 (-2) = 29 (-2)
3x = 29 - 2
3x = 27
The second step is to divide 3 from both sides of the equation:
(3x)/3 = (27)/3
x = 27/3
x = 9
~
Answer:
The first step is subtracting the two on both sides.
Step-by-step explanation:
You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.
Is 15 ft 20 ft 24 ft a right triangle
Answer:
No
Step-by-step explanation:
If:
a=15
b=20 then
c (hypotenuse)=25
Answer:
No
Step-by-step explanation:
A right angle is always 90°
u add up all the sides, if it doesn't equal 90 then it's not a right triangle.
so 15 + 20 + 24 = 59 so this is not a right triangle.
Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answer:
1 1/4 miles
Step-by-step explanation:
50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!
Answer:
43
Step-by-step explanation:
10 ways to divide 96 into equal groups
Answer:
Step-by-step explanation:
48+48=96
32+32+32=96
24+24+24+24=96
12+12+12+12+12+12+12+12=96
6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6=96
I'm not going to write out the rest of the numbers. I'll multiply them.
4 x 24=96 (etc. 4+4+4....)
3 x 32=96 (etc. 3+3+3....)
2 x 48=96 (etc. 2+2+2....)
1 x 96=96 (etc. 1+1+1....)
I hope this is what you meant. If you liked, mark me Brainliest please.
The number 96 is divided into equal groups, then the number of 10 ways is shown below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
48 + 48 = 96
32 + 32 + 32 = 96
24 + 24 + 24 + 24 = 96
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 96
6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 96
And the rest are written in the form of multiplication. Then we have
4 x 24 = 96 (etc. 4 + 4 + 4 ....)
3 x 32 = 96 (etc. 3 + 3 + 3 ....)
2 x 48 = 96 (etc. 2 + 2 + 2 ....)
1 x 96 = 96 (etc. 1 + 1 + 1 ....)
More about the Algebra link is given below.
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A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A
Answer:
Yes
Step-by-step explanation:
Given that :
CHAIN A:
Sample size n1 = 30
Sample standard deviation of waiting time s1 = 21.2
CHAIN B:
Sample size, n2 = 28
Sample standard deviation of waiting time s2 = 31.4
Null hypothesis H0: s1 = s2
Alternative hypothesis H1: s1 < s2
Test statistic ; Ftest : s1² / s2²
Ftest = 21.2^2 / 31.4^2
= 0.4558399
P value from F statistic : = 0.02 (using p value calculator)
Since the pval < 0.05
Then we reject the Null ; Chain A waiting time is more consistent
Factor out the greatest common factor
Answer:
C
A
B
D
Step-by-step explanation:
Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?
Answer:
A lot
Step-by-step explanation:
Why am I baking cakes. I SUCK.
There are 12 ounces of sugar will he need in his smaller cake.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.
Let the amount of sugar will he need in his smaller cake = x
So, By definition of proportion, we get;
⇒ Amount of Butter / Amount of Sugar
⇒ 8 / 16 = 6 / x
⇒ x = 6 × 16 / 8
⇒ x = 12 ounces
Learn more about the proportion visit:
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What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
I’m pretty sure 549
Step-by-step explanation:
Type the correct answer in the box. Figure 1 is similar to figure 2. The height of the cone in figure 2 is centimeters.
On Plato!!!
The height of the cone in figure 2 is 4.5 centimeters.
Similar figureTwo figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.
From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:
h/3 = 12/8
h = 4.5 cm
The height of the cone in figure 2 is 4.5 centimeters.
Find out more on Similar figure at: https://brainly.com/question/4014697
Answer:
4.5
Step-by-step explanation:
i need help in this question can someone help me
Simplify
Plsss hurry
Answer:
imma say the third one
Step-by-step explanation:
sorry if wrong
mams buy 3 large sandwiches to serve at a picnic. 9 people come to the picnic. Show 3 different ways to cut the sandwich so that each person gets an equal share.
Cut each sandwich into thirds.
Hopefully, your friends aren't very hungry
5x + y = 6
5x + 3y=-4
The y-coordinate of the solution to the system shown is
-5
01
1
2
0-1
The number of red marbles in a jar is 3 times the number of blue marbles
There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?
Answer:
I think this is the answer
9 blue marbles
3x=27
The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let b represents the number of blue marbles.
r represents number of red marbles in jar.
The number of red marbles in a jar is 3 times the number of blue marbles.
r=3b
There are 27 red marbles and b blue marbles.
27=3b
To find the number of blue marbles we have to solve the above equation.
Divide both sides by 3
27/3=3b/3
9=b
Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
To learn more on Equation:
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Which situation can be represented by 10x + 45 = 25x?
A.Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
B.A coin collection contains the same number of quarters as dimes. The value of the quarters increased by 45 cents is the same as the value of the dimes. How many quarters or dimes, x, are in the collection?
C.Twenty-five times a number is the same as 45 times the number increased by 10. What is the number?
D.The value of x dimes increased by 45 cents is the same as the value of x quarters. What is the value of x?
Answer:
its A.
Step-by-step explanation:
Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
Step-by-step explanation:
10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number
Hope this helps :)
Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
what is the measure of jm?
Answer:
10
Step-by-step explanation:
How many % cup servings are in % cup?
Answer:
I can't see all the answers