Answer:
Area of new garden = 800 ft²
Step-by-step explanation:
Given:
Old fencing = Parameter of old garden = 60 ft
Area of old garden = 200 ft
Find:
Area of new garden if Parameter of new garden is 120 ft
Computation:
Assume;
Length of old garden = l
Width of old garden = b
So,
2[l + b] = 60
l + b = 30
l = 30 - b
Area of old garden = 200 ft
l x b = 200
So,
(30 - b)b = 200
b² - 30b + 200 = 0
b² - 20b - 10b + 200
b(b-20) - 10(b-20)
(b-20)(b-10)
So,
Width of old garden = 10 ft
Length of old garden = 20 ft
New parameter is double
So,
Width of new garden = 10 x 2 = 20 feet
Length of old garden = 20 x 2 = 40 feet
Area of new garden = l x b
Area of new garden = 20 x 40
Area of new garden = 800 ft²
Mr. Mims had 50 bags of chips. He gave away 37 bags. What percent of the bags did he give away?
Answer:
74%
Step-by-step explanation:
How I did it is divided 37 and 50 (37/50 = 0.74)
Find the distance between the two points in simplest radical form . (4, 6) and (- 2, 9) pls the answer no links!!
Answer:
2,4
Step-by-step explanation:
How do I solve this arithmetic sequence?
Answer:
7 times 50=350
Step-by-step explanation:
Answer:
a₅₀ = 252
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
a₅₀ = 7 + (49 × 5) = 7 + 245 = 252
simplifying expressions
this is a whole page of questions and i dont remember how to do them pls help if you know any of them
1. 12m + 24m
2. 90a - 30a
3. 14b + 15b + 8
4. 58d + 25 - 22d
5. 3(14 + 15f) + 79
6. 20(18 + 5t) - 47 + 28t
Step-by-step explanation:
These problems are about like terms. Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.
1. 12m + 24m = 36m
2. 90a - 30a = 60a
Example: 6k + 8k + 10 = 14k + 10 (the part of the expression that's just a number does not combine with the parts that have variables).
3. 29b + 8
4. 36d + 25 (the terms with d in them combine--they don't have to be back-to-back)
5. This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.
3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f
6. 20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t
= 313 + 128t
In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
Answer:
34 °
Step-by-step explanation:
∠D = 71°
∠G = 37°
In ΔGEF
Using angle sum property of triangle : Sum of all angles of triangle is 180°
∠G+∠E+∠F = 180°
Since ΔGEF is right angled triangle at F so, ∠F = 90°
Now, 37°+∠E+90° = 180°
127°+∠E= 180°
∠E= 180°-127° =53°
Now ∠E+∠D = 53°+71° = 124°
Now using exterior angle property in ΔABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles
∠E+∠D is the exterior angle of ΔABC
So, ∠A+∠B = ∠E+∠D
since ΔABC is right angled triangle at B so, ∠B = 90°
∠A+90° = 124°
∠A = 124°-90°
∠A = 34°
Hence the measurement of angle A is 34 °
Assuming the following is a triangle, A = 72°
All interior angles of a triangle added together will always equal 180°, so [tex]180 - 71 - 37 = 72[/tex]
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
Answer:
x = -56
Step-by-step explanation:
0.75(x + 20) = 2 + 0.5(x - 2)
0.75x + 15 = 2 + 0.5x - 1
0.25x = -14
x = -14/0.25
x = -56
Kelly is 9 years old .In two years Kelly will be 1/3 of his mothers age now .What is his mother age
Answer: 31
Step-by-step explanation:
9 + 2 = 11. 11 is how old Kelly is in 2 years.
1/3 of 33 is 11. Kelly's mother is 33 in two years, meaning two years ago, Kelly's Mother is 31.
Here is the full equation. K = Kelly. M = Kellys Mom
9k = m
2k + 9k = m + 2m
11k = m + 2
11k = [tex]\frac{m}{3}[/tex]
M + 2 = 33
-2 -2
m = 31
Nora needs 5 and 1/2 cups of flour for a cookie recipe she is making for a large party. So far she has scooped 1 1/2 cups and 1 3/4 cups of flour into her bowl. How many more cups of flour does she need?
Please help, It feels like I know it but It won’t come to my brain
Answer:
D. m= x + 0.75
Step-by-step explanation:
Andrew is adding books to the backpack that already weighs 0.75 kg.
Mike is reading a map with a scale of 1 in. = 35 mi. On the map, the
distance Mike must drive is 5.5 in. What is the actual distance he has to
travel?
Answer:
Actual distance represented by 5.5 inch of map distance is
[tex]192.5[/tex] miles
Step-by-step explanation:
Given,
The scale of map -
1 inch on map is equal to 35 miles.
Distance measured by mike on map is equal to 5.5 inch
Actual distance represented by 5.5 inch of map distance is
[tex]= 5.5 * 35 = 192.5[/tex] miles
Find the value of x.
Need the answer ASAP please
Answer:
x = 8√3
Step-by-step explanation:
Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.
Answer:
125=12x+40
Step-by-step explanation:
Let the number of hours be x
And the total amount be =$125
We already have $40
Hence the expression is
125=12x+40
If we solve for x, the answer gotten is the number of hours
A researcher is 95% confident that the interval from 3.6 hours to 8.1 hours captures μ = the true mean amount of daily screen time for US adults.
Is there evidence that the true mean number of hours of screen time for US adults is greater than 3.5?
No. There is not evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
No. There is not evidence that the population mean is greater than 3.5, because there are values within the 95% confidence interval other than 3.5.
Yes, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.
Answer:
d) Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.
Step-by-step explanation:
edge 2020
The evidence that the true mean number of hours of screen time for US adults is greater than 3.5 is there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
What is the confidence interval?It is an estimate of an interval used in statistics, which contains a population parameter. This unknown population parameter is found through a sample model calculated from the collected data.
The confidence level index is directly linked to the margin of error. In that case, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
See more about confidence interval at brainly.com/question/24131141
#SPJ2
Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of remaining two angles is?
Answer:
140,120
Step-by-step explanation:
sum of angles in a quadrilateral =360
sum of the 1st two angles=60+40=100
360-100=260
the ratio of the remaining angles 7:6
therefore:
[tex] \frac{7}{13} \times 260[/tex]
=140
for the second angle
260-140=120
In circle R with m angle QRS= 90 and QR= 3 units find the length of arc QS round to the nearest hundredth
Answer:
4.71 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the above question,
r = QR = 3 units
θ = angle QRS= 90 = 90°
The length of the arc is calculated as:
2 × π × 3 × 90/360
= 4.7123889804 units
Approximately to the nearest hundredth = 4.71 units
Solving Similar Triangles. pls help i dunno this:(
1.y=16 x=8 ||| Because the 12 and 9 are the same side, i just decided to go from there, 9 is 75% of 12, so y and x would be
2.d=24 ||| the smaller triangle once again is 75% of the bigger one.
3.x=6 y=60 ||| the smaller triangle is 1/3 of the bigger one.
4. DE=8 AC=20 ||| The smaller triangle is half of the bigger one.
1. 6 is 75% of 8 and 12 is 75% of 16.
2. 18 is 75% of 24
3. 18/3=6 and 6 is 1/3 of 18; 20 is 1/3 of 60
4. 10 is 1/2 of 20; 1/2 of 16 is 8
Hope this helps.
Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?
Thanks For answering!
Answer:
64 slices
Step-by-step explanation:
The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.
16⋅8=128 slices of bread in total
Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.
128÷2=64.
Calcula y comprueba las ecuaciones: porfavor alguienn la nesesito pliss a) 2X = 6 b) 10 + Z = 20 c) P + 9 = 11 d) 3X + 8 = + 29 e) 2U + 8 = 10
Answer:
a) x = 3
b) z = 10
c) p = 2
d) x = 7
e) u = 1
Step-by-step explanation:
a) 2x = 6
Despejamos x dividiendo por 2 a amabos lados de la eacuacion.
(2/2)x = 6/2
x = 3
Si remplazamos x en la ecuación original:
2(3)=6
6 = 6
Queda demostrado.
b) 10 + z = 20
Despejamos z restando 10 en amabos lados de la eacuacion.
10-10+z = 20-10
z = 10
Si remplazamos z en la ecuación original:
10 + 10=20
20 = 20
Queda demostrado.
c) p + 9 = 11
Despejamos p restando 9 en amabos lados de la eacuacion.
p + 9 - 9 = 11-9
p = 2
Si remplazamos p en la ecuación original:
2 + 9 = 11
11 = 11
Queda demostrado.
d) 3x + 8 = 29
Despejamos x restando 8 en amabos lados de la eacuacion y luego divideindo por 3 en ambos lados de la ecuación.
3x+8-8 = 29-8
3x = 21
(3/3)x = 21/3
x = 7
Si remplazamos x en la ecuación original:
3(7) + 8 = 29
21 + 8 = 29
29 = 29
Queda demostrado
e) 2u + 8 = 10
Despejamos u restando 8 en amabos lados de la eacuacion y luego divideindo por 2 en ambos lados de la ecuación.
2u+8-8 = 10-8
2x = 2
(2/2)x = 2/2
x = 1
Si remplazamos x en la ecuación original:
2(1) + 8 = 10
2 + 8 = 10
10 = 10
Queda demostrado
Espero te haya sido de ayuda!
Beth is making fruit saladShe adds 5 grapes for every 2 strawberries she uses 12 strawberries, how many grapes will use? please get back to me !
Answer:
she uses 12×5=60 grapes
Answer:
30
Step-by-step explanation:
5 grapes : 2 strawberries
5 : 2
x : 12
x = (5 × 12) ÷ 2
x = 30
PLEASEEEEEE HEELLLPPP MEEEE!!!!
Answer:
the top one is posable oucomes and the the bottom is the other on
Step-by-step explanation:
Answer:
1 fav
2. possible
Step-by-step explanation:
I need an answer! NO LINKS PLS! il give brainlist
Answer:
15 oz.
Step-by-step explanation:
It says that the average box contains 15 oz. So, if you have 50, it still would be about 15 as the average.
son números racionales,
The probability of randomly selecting a white flower from a garden that has green, pink, yellow, and white flowers is 3%.
Which of the following describes the likelihood of selecting a white flower?
A. likely
B. unlikely
C. neither unlikely nor likely
Plz helppp
find the area in square inches of the following compsite figure
please i need this asap, look at the graph to the right. What is the equation for the line (in y=mx+b form)?
Answer:
The Answer is: y = - 2x + 8.
the y-intersept is 8, and the slope is -2x
HELP ME WITH THIS PLZ I DON'T UNDERSTEND IT PLZ HELP PPLLLZZZZZZ PLZ PLZ PLLZ HELP ME PLZ I NEED HELP PLZ HELP MMMEEEEE
Which question is statistical?
A.)What number of feet is equivalent to three miles?
B.)How many miles did your family drive last week?
C.)How many miles are between the library and the post office?
D.)How many miles does each member of the biking club ride each week?
Solve for x pleasssee help
Answer:
x=8
Step-by-step explanation:
13=x+5
8=x
Answer:
x = 8
Step-by-step explanation:
Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:
x + 5 = 13
So now we have to do the inverse operations thingy:
13 - 5 = 8
So x = 8
tell me if this is wrong so I can fix it
hope this helps:)
Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number
Answer:
Real number
Rational number
Step-by-step explanation:
Which ones are right?
Any links get reported!
Answer:
you did it right
I hope it's helps you
X
у
-10
-25
-5
5
10
15
20
-20
-15
О-5
Answer:
c
Step-by-step explanation:
From the definition of a function, an x-value cannot have more than 1 corresponding y-value. Since x = -5 has already been used, it cannot be used again with a different value for y.