Greetings from Brasil...
According to the question of the statement, we can conclude that
PQ = 2B
QR = 2B
PR = base = B
Perimeter = P = 105
P = PQ + QR + PR
105 = 2B + 2B + B
B = 21
PQ = 2B = 42QR = 2B = 42The distance around a yard is 588ft. If the length of the yard is 2 more than 3 times the width, find the perimeter and width of the yard
Answer:
Perimeter = 588ft (given), Width of yard = 73ft
Step-by-step explanation:
The distance around a yard is the perimeter of the yard, so we know that the perimeter of the yard is 588ft. In order to find the length and width, we need to make an equation so we can solve for one of them. Since the length is 2 more than 3 times the width, we can represent it as 3w+2, where w is the width. This ensures we only have one unknown to solve for as we only have one equation. Since perimeter is the distance around the yard, it is calculated by adding the length of the 2 widths to the length of the 2 lengths, hence 588ft = 2w + 2l, the l we replace though as we can only solve for one unknown, so now we have:
2w + 2(3w+2) = 588
Now we can start solving for the width!
Firstly we need to expand the bracket which we do by multiplying the 2 by all the contents inside the bracket, so:
2w + 2*3w + 2*2 = 588
which equals:
2w +6w +4 = 588
Now we combine terms and move the 4 to the other side so we can solve for w:
8w + 4 -4 = 588 - 4
8w = 584
Now we just divide both sides by 8 to get:
w=73
The width of the yard is 73ft.
Hope this helped!
Ten people ordered calculators. The least expensive was $29.95 and the most expensive was $89.95. Half of them ordered a $69.95 calculator. Select the best
estimate of the amount spent on calculators.
$490
$660
$550
$805
Choose the best estimate for the total amount spent for all 10 calculators.
O A. $805
OB. $490
OC. $550
OD. $660
Answer:
310
Step-by-step explanation:
least money 19.95
Most money = 39.95
Mean = (least+most)/2 = 29.95
money for half people = 5 × (mean) 29.95
Amount of money for half people = 149.75
Lower limit for amount of the other half = 19.95 × 5 = 99.75
The Upper limit for the amount of the other half = 39.95 × 5 = 199.75
Mean = (99.75 + 199.75)/2 = 149.75
Total money spent (Mean) = 149.75 + 149.75 = 299.5
The Best estimate is B) 310 because it is closest to 295.5
A mean is an arithmetic average of a set of observations. The correct option is D.
What is Mean?A mean is an arithmetic average of a set of observations. It is given by the formula,
Mean = (Sum of observations)/Number of observations
To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,
Least expensive A=30Most expensive B=90half of order C=70Now, the mean and the money for half the people can be written as,
Mean = (least + most)/2 = 60
money for half people = 5 × 60
Therefore, the amount of money for half people will be,
Amount of money for half people = 300
Lower limit for amount of the other half = 29.95 × 5 = 149.5
The Upper limit for the amount of the other half = 89.95 × 5 = 449.75
Mean = (149.75 + 449.75)/2 = 299.6
Total money spent (Mean) = 299.6 + 299.6 = 599.25
Hence, The Best estimate is $660. This is because it is closest to 599.25.
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show that the sequence with sum of the first n term sn=3n²+5n is an arithmetic sequence.
Answer:
The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
use rounding to estimate the product of 198 and 42 round to nearest 10
Answer:
≈ 8000
Step-by-step explanation:
Step 1: Round 198
198 ≈ 200
Step 2: Round 42
42 ≈ 40
Step 3: Multiply
200(40) = 8000
Real answer is 8316.
у
is 100% more than x.
Circle the ratio
x : y
Answer:
1:2
Step-by-step explanation:
Convert 2.38 km to dm.
Answer:
Step-by-step explanation:
2.38 km x 10^4 = 23,800 decimeters
1.6=Y/1.5 WHAT IS THE ANSWER
Isolate the variable Y by multiplying 1.5 on both sides.
[tex]Y=1.6*1.5[/tex]
[tex]Y=2.4[/tex]
Hope this helps.
頑張って!
Answer:
y=2.4
Step-by-step explanation:
You need to get Y alone so just multiply it with the reciprocal: 1.5/1 on both sides. This cancells out the denominator and just multiplies 1.6 with 1.5 to get 2.4
Given the function k(t)=2t−1: a. Evaluate k(2). b. Solve(k)=7.
Answer:
[tex]k(2) = 3[/tex]
[tex]t = 4[/tex]
Step-by-step explanation:
Given
[tex]k(t) = 2t - 1[/tex]
Solving (1): k(2)
Take t as 2 such that t = 2
This gives
[tex]k(2) = 2 * 2 - 1[/tex]
[tex]k(2) = 4 - 1[/tex]
[tex]k(2) = 3[/tex]
Solving (2): k(t) = 7
Substitute 7 for k(t)
[tex]7 = 2t - 1[/tex]
Add 1 to both sides
[tex]7 + 1 = 2t - 1 + 1[/tex]
[tex]2t = 8[/tex]
Divide both sides by 2
[tex]t = \frac{8}{2}[/tex]
[tex]t = 4[/tex]
-ayuda ¡¡¡ Se tiene previsto implantar un proyecto de "Caucho sintético" cuya inversión sería de S/ 2 500 000, para un tamaño de planta de 12 000 toneladas anuales. Luego de estudiar el proyecto, los promotores estiman que es más conveniente un tamaño de 19 200 toneladas por año. ¿A cuánto ascenderá la inversión total, si el exponente del factor de escala es α=0,63? ayuda !!!!!
Answer:
En caso de un tamaño de producción de 19,200 toneladas anuales, el costo de inversión total ascenderá a $3,999,936.
Step-by-step explanation:
Dado que la inversión inicial será de $ 2,500,000 para un tamaño de planta de 12,000 toneladas anuales, se estima que cada tonelada requiere una inversión de $208.33 (2,500,000 / 12,000).
Por lo tanto, en caso de una producción anual de 19,200 toneladas, el costo de inversión aumentará según lo establecido en la siguiente multiplicación:
208.33 x 19,200 = X
3,999,936 = X
Por lo tanto, en caso de un tamaño de producción de 19,200 toneladas anuales, el costo de inversión total ascenderá a $3,999,936.
The price of jeans was reduced $15 per week for 6 weeks by how much did the price of the jeans change over the 6 weeks
Step-by-step explanation:
1. 7 (-6)=42
after 7 weeks the price will be reduced by 7 time
the price will be reduced $42
Write 1/10 as a decimal number
Answer:
0.1
Step-by-step explanation:
hope this helps
Alan owes $412.42 on his credit card. He returns two items, one for $48.38 and the other for $49.57. Then
he makes purchases of $34.10 and $37.06. What is the new balance on the card?
Answer:
he now owes $385.63
Step-by-step explanation:
owes $412.42
returns an item for $48.38
-412.42 + 48.38 = -364.04
he now owes $364.04
returns an item for $49.57
-364.04 + 49.57 = -314.47
he now owes $314.47
makes a purchase of $34.10
-314.47 - 34.10 = -348.57
he now owes $348.57
makes a purchase of $37.06
-348.57 - 37.06 = -385.63
he now owes $385.63
Answer:
Nah you wrong
Step-by-step explanation:
You have got
to start thinking bee, my friend.
- Thinking bee!
- Me?
Hold it. Let's just stop
for a second. Hold it.
I'm sorry. I'm sorry, everyone.
Oan we stop here?
I'm not making a major life decision
during a production number!
All right. Take ten, everybody.
Wrap it up, guys.
suppose that: (x-(x-y))-((x-y)-x)=14 what is x
Answer:
x = 0.
Step-by-step explanation:
(x-(x-y))-((x-y)-x)=14
Remove the parentheses from the inside out:
(x - x + y) - (x - y - x) = 14
x - x + y - x + y + x = 14
x - x - x + x + 2y = 14
0 + 2y = 14
x = 0 and y = 7.
If John has drank three drinks per day how many will he have drank in 3 day's?
Answer: 9
do the 3 times table
Step-by-step explanation: if 3 in 1 than 9 in 3
hoped this helped let me know if it did
What is absolute value ?
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
Solving Absolute Value is just asking you how far away -4 is from zero. Since distance is always a positive number (you can't travel "negative" steps, just steps in a different direction), the result of absolute value is always positive. Make the number in the absolute value sign positive.
f(x) = 6x2 + 2 what is the domain
Answer:
All Real Numbers
Step-by-step explanation:
[tex]f(x)=6x^2+2[/tex]
To find the domain of a quadratic function, we can make a table.
x y f(x)=6x^2+2
-1 8 6(-1)^2+2
0 2 6(0)^2+2
1 8 6(1)^2+2
You can keep going and identity that all the x values/ domains are real numbers.
Solve 7x-3+3x=4(4x-1)-5
Answer:
x=1
Step-by-step explanation:
Answer:
6=6x (x=1)
Step-by-step explanation:
7x-3+3x=4 (4x-1)-5
7x-3+3x=16x-4-2
So I have just multiplied out the brackets on the right side 4×4x and 4×1.
7x+3x=16x-4-2
Here I have just added the -3 from the left onto the right changing it to a positive and onto the -5 therefore getting -2.
10x=16x-3
Now I just added the numbers together on each side like 7x+3x and -4-2.
10x+6=16x
This is just moving the -6 onto the left side so we get a positive 6.
6=6x
I have simply done 16-10.
Find the remaining trigonometric ratios. tan(α) = 2, 0<α<π/2the responses they want are:1. sine(α)=_2. cos(α)=_3. cot(α)=_4. sec(α)=_5. csc(α)=_
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2
PLEASE HELP I WILL MARK YOU BRAINLIEST
A bread company makes 4 types of bread. A restaurant chain ordered 612 loaves of each kind of bread. How many loaves of bread in total did the restaurant chain order?
Mr. Ecker had $72 that he evenly split amongst his four children for their allowance. He then gave his eldest daughter an extra $5. How much money did Mr. Ecker’s eldest daughter get?
Answer:
1. 2448 do 612x4
2.she got $23 because he has four children and splits all do 72 divide by 4 and add 5 and thats ur answer
hope this helped
Evaluate the expression 2*2^3*5-3
Answer:
77 would be the right answer
Which number completes the series: 1, 3, 6, 10, 15, ???
Answer:
21
best of luck!
Answer:
21
Step-by-step explanation:
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
Hope it helps
Mark it as Brainliest!
9x+3x-10=3(3x+x) identity or solution
There is no solution. The output of this equation is equal to -10 = 0 which is obviously not true.
60) 786
Long division?
Answer:
This image will help!
Thanks and have a good day.
PLEASE HELP!! WILL GIVE BRAINLIEST TO THE FIRST PERSON
Answer:
x=10
Step-by-step explanation:
I believe if you're trying to solve for x and the two lines are the same length, you just have to set the values equal to each other and solve.
Step-by-step explanation:
12 =x+3
x=9
3x -11
3(9) - 11
27-11
=16
A figure was created using a triangle and a semicircle. Use the ruler provided to measure the dimensions of the triangle and the semicircle to the nearest centimeter.
Which measurement is closest to the area of the figure in square centimeters?
A.
78 cm2
B.
81 cm2
C.
106 cm2
D.
53 cm2
Answer: D
Step-by-step explanation:
HELP ME!!
The square of the sum of seven times a number and
seven
7(n+7)^2
seven times the number and seven squared
what value of x makes the equation 7x-2(3x+1)=4x-(3-x)-19 true?
Answer:
X=5
Step-by-step explanation:
Help me with this one too
Answer:
2 + 8 -7 = 3
Hope it helps.......
Determine the interval on which this function is constant. (1 point)
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
The constant function is - f(x) = -2 in the interval x ∈ [-2, 4].
We have a graph of a function f(x).
We have to determine the interval on which this function is constant.
Define Constant function.A constant function is a function having the same value of range for different values of the domain. Mathematically -
y = f(x) = k [ k is constant ]
According to the question, we can see from the graph that -
The value of f(x) is constant, and is equal to f(x) = -2 between the points -2 and 4 on the x - axis.
The function in this interval can be given by -
f(x) = -2 where x ∈ [-2, 4].
Hence, the constant function is - f(x) = -2 in the interval x ∈ [-2, 4].
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The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.
Answer: 5 calories
Step-by-step explanation:
Given the data:
Minute ____calorie burned
40__________200
80__________400
120_________ 600
160_________ 800
We need to find the rate at which calorie is burned :
Rate of burn = (Number of calorie burned/ time taken)
Take any of the points :
Time = 80 ; calorie burned = 400
Rate of burn = (400 calorie / 80 minute )
Rate of burn = 5calorie/minute
If time = 1 minute ; rate = 5
Calorie burned in 1 minute :
Amount of calorie = rate of burn × time taken
Amount burned in 1 minute = 5 × 1 = 5 calories
Hence, amount of calorie burned in one minute is 5 calories.
Answer:
5
Step-by-step explanation:
Maps Testing I have done it.