Answer:
The length of the longer base he 35 units
Step-by-step explanation:
Here, we want to find the length of the longer base of the trapezoid
Mathematically, we can find the area using the formula;
1/2( a + b) h
where a is the shorter base
b is the longer base
h is the height
Let the shorter base be x
The other base is 5 times this length and that makes 5 * x = 5x
Height is the average of both bases;
(x + 5x)/2 = 6x/2 = 3x
Substituting these in the formula, we have ;
1/2(x + 5x)3x = 441
3x(6x) = 882
18x^2 = 882
x^2 = 882/18
x^2 = 49
x^2 = 7^2
x = 7
But the longer base is 5x and that will be 5 * 7 = 35 units
geometric sequence
4,20,100,500
Answer:
what is the question asking?
How much force is needed to accelerate a 90 kg skier 2 m/s2?
options
92 N
180 kg/ms2
180N
45 kg/ms2
subject-science
Answer:third one
Step-by-step explanation:
The amount of force needed to accelerate 90 kg skier to 2 meters will be 180 N.
What is a force?A force is defined as the external agent applied to the objects to displace them from one position to another position or to stop the motion of the object. The unit of measurement of the force is the newton.
Given that the weight of the object is 90 kg and the distance to be displaced is 2 meters. The amount of the force will be calculated as below:-
Force = Mass x Acceleration
Force = 90 x 2
Force = 180 Newton
Therefore, the amount of force needed to accelerate 90 kg of skier to 2 meters will be 180 N.
To know more about force follow
https://brainly.com/question/25573309
#SPJ2
6+n2+1/2d as a coefficient
Answer: 5x
Step-by-step explanation:
PLEASE HELP ME!!!
A roller coaster climbs to a height of 248m before it goes into an underground tunnel that is 16m below ground. What is the height difference between the highest point and the lowest?
A) -232
B) -264
C) 264
D) 232
===========================================================
Explanation:
Draw a vertical number line. Mark the values 248, 0, and -16 on the number line. The negative value is to indicate it is below 0, while the positive number is above 0.
The distance from 248 to 0 is 248 units. Let A = 248.
The distance from 0 to -16 is 16 units. Let B = 16
The total distance mentioned so far is A+B = 248+16 = 264
So basically if we start at the highest point (248) and go to the ground level, we traveled 248 meters. Then we travel another 16 meters to go from ground level to the lowest point (-16) leading to a total of 248+16=264 meters in total distance from highest to lowest point.
what is 10 times as much as 0.4
Answer:
4
Step-by-step explanation:
0.4*10=4
3. What is the Constitution's Nickname?
Step-by-step explanation:
old ironsides
what is y- 10 = 9(x + 8) in standard form
What is the domain of this relation?
5
4
3
2
1
-5 -4
-3
-2
-10
1
2
3
4
5
-2.
-3
.
-4
-5
Write the numbers in the domain with commas between them (for example, {1, 2, 3}).
Domain: {
Answer:
The domain numbers are 4,-3,3,4
Step-by-step explanation:
The nubers from the x-axis are the domain numbers
I hope it helps:)
Identify examples and non-examples of the standars form of a linear function.
Please help I will give brainliest!
Answer:
[see below]
Step-by-step explanation:
Standard Form Is:
[tex]Ax+By=C[/tex]
C is a constant, where A and B would be coefficients.
Using the standard form equation, below would be examples of a standard
form equation.
[tex]5x-3y=9\\\\2x+3y=0\\\\x+y=1\\\\[/tex]
All others would be non-examples since they are not in standard form.
Hope this helps.
The variables x and y are related proportionally. When
x = 2,
y = 5.
Find y when
x = 26.
When x = 10 , y =
Answer: When x=26, y=45
Whenx=10, y=25
convert unit rate 12yd/min = ft/s
Answer:
12 yards per second = 36 feet per second
Formula: multiply the value in yards per second by the conversion factor '3'.
So, 12 yards per second = 12 × 3 = 36 feet per second.
Step-by-step explanation:
To calculate a yard per second value to the corresponding value in ft/s, just multiply the quantity in yd/s by 3 (the conversion factor).
Here is the formula:
Value in ft/s = value in yd/s × 3
Suppose you want to convert 12 yd/s into ft/s. Using the conversion formula above, you will get:
Value in ft/s = 12 × 3 = 36 ft/s
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?
Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.
rewrite the expression on the left using the distributive property.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Rewrite the expression on the left using distributive property.
Brad buys two packages of mushrooms. He paid $11.25 for 2/3 lb of Cremini mushrooms and $7.99 for 1/2 lb of Chanterelle mushrooms. Which mushroom cost less per pound?
A. Cremini mushrooms cost less by $0.10
B. Chanterelle mushrooms cost less by $0.10
C. Chanterelle mushrooms cost less by $0.90
D. Cremini mushrooms cost less by $0.90
I think the answer is B if you ask me
Answer:
C. Chanterelle mushrooms cost less by $0.90 is correct.
Step-by-step explanation:
1. For the Cremini mushrooms, we know it costs $11.25 for 2/3 lb. So, let's divide this amount by 2 to get the amount of money per 1/3 lb of Cremini mushrooms.
11.25 ÷ 2 = 5.63 when rounded to the nearest cent.
Now, let's multiply this by 3 to get the price of 1 lb of Cremini mushrooms.
5.63 x 3 = 16.89
Therefore, 1 pound of Cremini mushroom is $16.89.
2. For the Chanterelle mushrooms, we know that it cost $7.99 for 1/2 lb. So, let's multiply this amount by 2 to get the price per pound.
7.99 x 2 = $15.98
Therefore, 1 pound of Chanterelle mushroom is $15.98.
3. To find the difference between two prices, subtract the price of the smaller quantity (Chanterelle mushroom) from the larger quantity (Cremini mushroom.)
16.89 - 15.98 = $0.91
Even though this answer doesn't match with the exact answer, because we rounded to the nearest cent, we can agree that C. is correct.
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?
Answer:
Width is 25 ft
length is 60 ft
Step-by-step explanation:
Here, we want to calculate the length and width of the garden
From the question, we are told that the length is 10 ft more than twice its width
So if the width is x ft
Length = 2x + 10
Mathematically, the perimeter of a rectangle i s 2(l + b)
So;
2(x + 2x + 10) = 170
2(3x + 10) = 170
3x + 10 = 85
3x = 85-10
3x = 75
x = 75/3
x = 25 ft
length is;
2(25) + 10 = 50 + 10 = 60 ft
Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)
Answer:
Adam's container
Step-by-step explanation:
Adam's: 8.75/ 3.5 = 2.5
Marco's: 9.75/ 3.75 = 2.6
= 2.5
PLEASE HELP ME I DONT KNOW THE ANSWERR
Which is a simplified form of the expression -(z + 1) + 2(z – 2)?
A. -z – 5
B. 3z – 3
C. z – 5
D. 2z – 5
PLS HELP! 30 POINTS AND BRAINLIEST!!!
Answer:
C. m<1 + m<5 = 180 (reason: they are consecutive angles, and should be congruent)
Answer:
C. m<1 + m<5 = 180
Step-by-step explanation:
a) What is the y-intercept of y = 3x ?
(b) What is the slope of y = -x - 2 ?
Answer:Q. How would you write the equation with a slope of 2/3 and a y-intercept of -3. answer choices. y=3/2x+3. y=2/3-3. y=2/3x-3. y=2/3x+3. Tags: Question 11.
Step-by-step explanation:
THATS IT I THINK sorry caps
Answer:
0 and - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(a)
y = 3x or y = 3x + 0 has c = 0 ← y- intercept
Thus line passes through the origin
(b)
y = - x - 2 has m = - 1 ← slope
can you help me and explain how you got that answer also I only have 8-10 mins to finish this please help me
Answer:
I'm not sure on the first but the second is -32
and in the third 25,000 represents the starting value of the car.
WORK:
2:
h(-5)=(-5)^2 -7
h(-5)=-25-7
h(-5)=-32
Which price choice has the lowest unit price per ounce?
Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18
Select one:
a. Choice A
b. Choice B
c. The unit rates are equal
d. The unit rates cannot be determined
NEED ANSWERS ASAP!!! TODAY.
The day you were born your parents invested $5,000 in CD account (Certificate of Deposit).
The account pays 0.88% annual interest rate. How much money will be in your account by
your high school graduation (18 years)?
Plz help. I need an answer and explanation step by step plz
Answer:
You will have $5,792 in your account by your high school graduation
Step-by-step explanation:
Simple Interest
Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
The parents invested P = $5,000 in CD account that pays r=0.88% annual interest rate. The rate must be converted to decimal, thus r=0.88/100 =0.0088.
We are required to calculate the total money in the account after t=18 years.
First, we calculate the interest:
I = $5,000 * 0.0088 * 18
I = $792
Adding interest to the principal, we have the future balance in the account:
A = $5,000 + $792 = $5,792
You will have $5,792 in your account by your high school graduation
(7x-49x^2)/(7x) can smeone solve this? Thank you! I hope you have a great day!
Answer:
x = 1/7
Step-by-step explanation:
[tex]\frac{(7x-49x^2)}{7x}\\\\\frac{7x(1-7x)}{7x} \\\\1-7x=0\\\\1=7x\\\\[/tex]
x = 1/7
Type the correct answer in the box. Consider the expressions below. A. 11r2 + 61 - 6 B. 712 + 161 + 25 C. 11 r2 5r + 13 D. 772 – 3r + 8 For each expression below, select the letter that corresponds to the equivalent expression given abov (52 + 150 + 65) + (2x - 5)(3x + 8) is equivalent to expression (41 + 1) (3.1 – 4) – (5.12 - 10.r 12) is equivalent to expression (812 + 191 + 4) + (3x + 2)(x – 5) is equivalent to expression (61 + 1)(3. – 7) – (7x2 – 341 – 20) is équivalent to expression
Answer:
See attached
Step-by-step explanation:
The answer is in below picture
Answer:
>> In order <<
B, D, A, C
----------------------------------------------------------------------------------------------------------------
(x² + 15x + 65)+(2x - 5)(3x + 8) simplifies to 7x² + 16x + 25. The first blank is (B).
----------------------------------------------------------------------------------------------------------------
(4x + 1)(3x - 4)-(5x² - 10x - 12) simplifies to 7x² – 3x + 8. The second blank is (D).
----------------------------------------------------------------------------------------------------------------
(8x² + 91x + 4)+(3x +2)(x - 5) simplifies to 11x² + 6x - 6. The second blank is (A).
----------------------------------------------------------------------------------------------------------------
(6x + 1)(3x - 7) - (7x² -34x - 20) simplifies to 11x² - 5x + 13. The second blank is (C).
----------------------------------------------------------------------------------------------------------------
Good luck ·ω·
A landscaping business bought 8 rose bushes and 15 daylilies for $193. They went back later and bought 3 more rose bushes and 12 daylilies for $117. How much does each daylily cost?
Answer:
Each daylilies cost $7
Step-by-step explanation:
Step one:
let roses be x
and daylilies be y
so
8x+15y=193--------------1
also
3x+12y=117--------------2
we can solve equations 1 and 2 by substitution
8x=193-15y
x=(193-15y)/8
put x= (193-15y)/8 in 3x+12y=117
3((193-15y)/8)+12y=117
(579-45y)/8+12y=117
579-45y=8(117-12y)
579-45y=936-96y
collect like terms
579-936=-96y+45y
-357=-51y
divide both sides by -51
y=-357/-51
y=7
Hence each daylilies cost $7
put y=7 in eqn 1
8x+15(7)=193
8x+105=193
8x=193-105
8x=88
x=88/8
x=11
rose cost $8
Is this true if yes why/if not why not, give reason.
Z^2+z+z=3z^2
Answer:
i am not sure
Step-by-step explanation:
John works 20 hours per week at a part-time job. His original pay rate was $10.50
per hour, but he recently received a pay cut of x dollars per hour for being late to
work too many times. His total weekly pay, y, is represented by the equation
y=20(10.50-x).
If John's earned $160 for the week, what was the amount of his pay cut?
$1.50
$2.50
$2.00
$1.00
Answer:
2.50$
Step-by-step explanation:
y=20(10.50-x).
160 = 20 (10.50-x)
160 = 210 - x
160 - 210 = -x
-50 = -x
50 = x
50$ Is the total per week, divided by the number of hours 20. You’ll have the cut per hour.
50/20 = 2.50
Answer:
x = $2.50
Step-by-step explanation:
y = 20(10.5 - x)
$160 = 20(10.5 - x ) {use distributive property}
160 = (20*10.5) - (20*x)
160 = 210 - 20x {Add 20x to both sides}
160 +20x = 210 {Subtract 160 from both sides}
20x = 210 - 160
20x = 50
x = 50/20
x = $2.50
In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true?
Answer:
uuuuuuuuuuuuuu
Step-by-step explanation:
In a recent survey, people were asked if they had a digital camera at
home. Six people had digital cameras, this was 30% of the total number
of people surveyed. How many people were surveyed?
Answer:
20 people
Step-by-step explanation:
if 6 ppl 30%
then the 100% equals to
6 × 100% ÷ 30% = 20 ppl
Answer:
20 ppl
Step-by-step explanation:
Somebody help me... cause idk
Answer:
c
Step-by-step explanation:
Write a linear inequality to represent the information given. The total fees for the high school play are
$280. Tickets to the play cost $5 for students and $9 for nonstudents. Write a linear inequality that
describes the number of student and nonstudent tickets that need to be sold for the drama class to be.
able to pay the fees. Let x represent the number of student tickets and let y represent the number of
nonstudent tickets.
Answer:
280 (less than or equal to) 5x + 9y
Step-by-step explanation:
X = students ($5 each)
Y = Non-students ($9 each)
This must add up to greater than( or equal to) $280 in order for taxes to be paid