Answer:
h = 3.6
Step-by-step explanation:
This is just substituting in for variables and solving for x. The hard part is knowing the formula.
R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.
Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.
(8.1) = h(((1) + (3.5)) / 2)
= h((4.5) / 2)
= h(2.25)
8.1/2.25 = h
3.6 = h
(Brainliest to the person that get its right)
Which of the following is the square of a binomial?
A)m^2-mn+n^2
B)c^2-2cd+d^2
C)16x^2 + 9y^2
D)a^2+b^2
c^2-2cd+d^2 = (c-d)^2
We can verify this with the following steps
(c-d)^2 = (c-d)(c-d)
(c-d)^2 = c(c-d) - d(c-d)
(c-d)^2 = c^2-cd-cd+d^2
(c-d)^2 = c^2-2cd+d^2
The soda machine contains 225 sodas at capacity. On average 15 drinks get dispensed per day.
Write an equation in slope-intercept form to represent the total number of sodas in the vending machine in days.
Answer: y = -15x + 225
Step-by-step explanation:
slope-intercept form is y = mx + b
The 225 is the starting amount.
x is the number of days since the machine was loaded.
-15 is the amount subtracted on average per day. It is the slope, m
y is the number of sodas left in the machine
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157
Answer:
n=78
Step-by-step explanation:
Step - b * y - s step explanations
2n + 1 = 157
2n = 157 - 1
2n = 156
n = 156/2
n = 78
Adwoa made fresh orange juice. If she used 2 oranges per a glass of juice and made 6 glasses of juice.How many oranges did she use?
Answer: 12 oranges
Step-by-step explanation: To fill one glass, Adwoa needs 2 oranges. She made 6 glasses.
1 glass : 2 oranges
6 glasses : x oranges
x = [tex]\frac{6*2}{1}[/tex] = 12
Solve the equation for y.
Y/a - 16 = h
Answer: y=2+8x
Step-by-step explanation:
Take 2+78
Angles 1 and 2 are a supplementary pair with the measure of angle 2 being six more than twice the measure of angle 1. What is the measure of angle 2?
Answer:
58° and 122°
Step-by-step explanation:
Let the 1st angle be 'a'.
2nd angle = 6 more than twice of a = 2a + 6.
Supplementary angles add upto 180°.
=> a + (2a + 6) = 180
=> a + 2a + 6 = 180
=> 3a + 6 = 180
=> 3a = 174
=> a= 174/3 = 58
Thus, angles are:
a = 58°.
2a + 6 = 2(58°) + 6 = 122°
Students are taking a Math test that has 28 questions and is worth 100 points , Some of the questions are worth 3 points and the rest are worth 4 how many of each type of problem are on the test
Answer:
There are 12, 3-point problems & 16, 4-point problems
Step-by-step explanation:
3-point problem = x
4-point problem = y
Total points = 100
Total problems = 28
According to given statement; x+y=28
Caitlin has a balance of $4,880 on her credit card that has an APR of 16%. She currently pays the minimum monthly payment of $105. 86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months. Income Wages $2,896. 00 Expenses Rent $1200. 00 Utilities $212. 64 Food/Clothes $335. 00 Entertainment $346. 00 Car $490. 00 Credit Card $105. 86 Cell Phone $116. 37 Net Income $90. 13 a. Caitlin can eliminate $100 from Food/Clothes and $85 from Entertainment. B. Caitlin can eliminate $62 from Food/Clothes and $49 from Entertainment. C. Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. D. The minimum payment is enough to pay off the balance within 20 months.
If Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. Then she can pay the credit amount in 20 months.
What is APR?APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.
Caitlin has a balance of $4,880 on her credit card that has an APR of 16%.
She currently pays the minimum monthly payment of $105. 86. If Caitlin wants to pay off her balance in 20 months, determine the monthly payment she would need to make.
Choose the following modification with the least cuts to her current expenses that will allow Caitlin to pay off her balance in 20 months.
Income
Wages $2,896. 00
Expenses
Rent $1200. 00
Utilities $212. 64
Food/Clothes $335. 00
Entertainment $346. 00
Car $490. 00
Credit Card $105. 86
Cell Phone $116. 37
Net Income $90. 13
The net amount will be over 20 months is 5591.8.
Monthly payback will be
[tex]\rm Monthly\ pay = \dfrac{5591.8}{20}\\\\Monthly\ pay = 279.59[/tex]
She was paying 105.68 dollars per month. Then the amount will be
Amount = 279.59 – 105.68 = 173.73
If Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment. Then she can pay the credit amount in 20 months.
More about the APR link is given below.
https://brainly.com/question/8846837
This is Maneli’s strategy from the previous screen:
“I think we should multiply each side by 3/2 because that is the reciprocal of 2/3
Write an equation that can be solved using Maneli’s strategy.
To solve an equation involving a fraction, to get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
To solve an equation involving a fraction, to get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction. For example:
(a/b)x = 1
(a/b)x * (b/a) = 1 * (b/a)
x = b/a
Find out more on equation at: https://brainly.com/question/2972832
X= 164, -8, 4, 164
Y= -99, -60, -57, -17
Which equation represents the same relationship?
A. y + 17= 1/4(x - 164)
B. y - 17= 1/4(x + 164)
C. y + 164= 1/4(x - 17)
D. y - 164= 1/4(x + 17)
The Equation of line is y + 17= 1/4(x - 164).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
X= 164, -8, 4, 164
Y= -99, -60, -57, -17
Using slope
= ( -17 + 57 )/ ( 164 - 4)
= 40/ (160)
= 1/4
So, Slope- intercept form
y + 17 = /4 ( x- 164)
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
When Sharon and her mom went bowling, Sharon bowled a 122. Her mother bowled a
251. About how much higher was the mother’s score than Sharon’s?
Answer:
129
Step-by-step explanation:
251-122=129
I need help with this assignment
2( 4- 2) gggggggggggg
Answer:
[tex]4g^{12}[/tex]
Step-by-step explanation:
if it is just 2(4-2) then it will be 4
Please answer quick thanks
Answer:
140
Step-by-step explanation:
They are the same on both sides
:)Hope you enjoy this:)An object travels 8 miles in 20 minutes at a constant speed. What is the object speed in miles per hour
Answer:
24miles/hour
Step-by-step explanation:
8miles/20minutes
1hour-->60minutes
60÷20=3
8×3=24miles
HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.
The number 97 is a term of the sequence defined by the explicit rule f(n)=4n-3. Which term in the sequence in 97? Justify your answer.
Answer:
it is 25 as you go down
Step-by-step explanation:
97, 86, 75, 64, etc go in the sequence
I think this is correct
:) Hope you enjoy this :)Answer:
The 25th term is 97
Step-by-step explanation:
f(n)=4n-3
97=4n-3
Add 3 to each side
97+3 = 4n-3+3
100 = 4n
Divide each side by 4
100/4 = 4n/4
25 = n
The 25th term is 97
The expression 5x − 3(2x − 4) is equivalent to the expression 12 − x
Answer:
no it 7x-7
Step-by-step explanation:
add 5x and 2x bc there like terms. along with -3 and -4
i am 2/3 greater than 5/6
Step-by-step explanation:
Convert 2/3 to an equivalent fraction of /6 and add it to the 5/6... (Get common denominators)
The answer is 3/2
Are the following lines perpendicular? Explain your answer. y = -2x +3 y =
-1/2 x-1
Answer:
No
Step-by-step explanation:
No, the slope of perpendicular lines are negative reciprocal of one another.
In this case, the negative reciprocal of -2 is 1/2 not -1/2
please can you help me with this
Answer:
The answer would be 0
Step-by-step explanation:
Because halfway of 4, -2 is 0
Answer:
You would want to put this in point-slope form. your answer would be
y+2=1/2(x-4). You can also put this is standard form which would be, y=1/2x-4.
I hope this helps!
what is -3 (x-8)=87
Answer:
x=-21
Step-by-step explanation:
-3(x-8)=87
-3x+24=87
-3x=63
x=-21
x= -21
Step-by-step explanation:
?????????????????????????????????????????????????????????????????????????????????
3. What are the means of the following proportion?
3/5 = 12/60
A. 3 and 15
B. 15 and 12
C. 3 and 60
D. 12 and 60
Answer:
It's "B" (15 and 12)
Step-by-step explanation:
What’s the answer to this
Answer:
18 hours
Step-by-step explanation:
First you subtract 13 from 68. 55, if you divided 55 by 3, you would have 18 with a remainder of 1. so 18 hours.
Variables x, y, and z are integers such that xyz > 0. If xy=30, x/z=2/3, and z=9, what is the value of y?
Explanation:
Plug z = 9 into the second equation and solve for x.
x/z = 2/3
x/9 = 2/3
x = 9*(2/3)
x = 18/3
x = 6
This leads to
xy = 30
y = 30/x
y = 30/6
y = 5
Giving 20 points need answer asap
200 in sq
Step-by-step explanation:
look at the image as 2 faces, each face is a 10 x 10 area
area is length * width so 10 x 10 is 100
we have 2 of these squares meaning that you have multiply the 100 by 2
this gives you the 200 in sq
Which is greater: 3x3/2 or 3X2/3 Why?
Answer:
3X3/2 is greater
Step-by-step explanation:
Go left to right and solve the equations.
Equation 1: 3 multiplied by 3 is 9. 9 divided by 2 is 4.5
Equation 2: 3 multiplied by 2 is 6. 6 divided by 3 is 2
Equation 1 yields a greater value.
Answer:
The 3x3/2 is greater than 3x2/3
Step-by-step explanation:
Here is a simple tip when solving these questions:
Decimal form is always great to use because you get the answer instantly instead of finding a common denominator while involving fractions.
Let's solve 3x3/2.
First, do 3x3 which is 9.
Your problem should be 9/2
Now, you could do this as a mixed number but like I said there shall be more work so you should do 9/2 on a calculator or divide but involve decimal point if you have a remainder.
9 divided by 2 is 4.5
9/2 is 4.5 (Above is the interpretation in words)
Next, do 3x2/3
The same thing as last, do 3x2 first.
Your problem should be 6/3
If we know our division facts then 6 divided by 3 is 2.
Lastly, compare our numbers.
The 3x3/2 is 4.5 and the 3x2/3 is 2
Line the numbers up:
4.5
2.0
The tens digit clearly shows that 4 is greater than 2.
Therefore,
The 3x3/2 is greater than 3x2/3
Stephanie multiplied two decimal numbers and found the product to be 29.648.
Which could be the two decimals Stephanie multiplied? Check all that apply.
13.6 and 2.18
1.36 and 2.18
1.36 and 21.8
13.6 and 0.218
i will give crown
Answer:
13.6 and 2.18 AND 1.36 and 21.8
Step-by-step explanation:
Answer:
b is the answer
(8+t)^3 -6 when t =2 what is the value of this expression
Answer:
994
Step-by-step explanation:
(8+t)^3 - 6
t = 2
(8+2)^3 - 6
add 8 and 2
(10)^3 - 6
evaluate exponent
1000 - 6
subtract
= 994
Answer:
994
Solving steps:
(8+2)^3-6
We begin by calculating the expression inside the parentheses.
(8+2)^3-6
(10)^3-6
Simplify exponents and square roots
10^3-6
1000-6
994
CMON HURRRRRRRRRRRRRY PLEASEEEEEEEEEE
Answer:
3-6/-11
Step-by-step explanation:
thank me later
emmitheblackbobcat
Answer:
D
Step-by-step explanation:
[tex]-\dfrac{11}{6}=\dfrac{-11}{6}=\dfrac{11}{-6}[/tex]
There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
Answer:2
Step-by-step explanation5