Answer:
25 ≤ 2.5n
Step-by-step explanation:
Total budgeted amount = $25
Cost per pack of = $2.50
To represent the relationship using inequality :
Let the Total number of packs purchased = n
Hence,
Total budgeted amount ≤ (cost per pack * number of packs)
25 ≤ 2.5n
This means the total actual purchase made should be less than or equal to the budgeted amount.
12.
Find whether p = 2 and p=3 are solutions for the equation
7 (p+2)=5 (p+4) ? Justify?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7(p+2)=5(p+4)
By distributive law
The eqn becomes :
7p + 14 = 5p + 20
collecting like terms ;
7p - 5p = 20 - 14
=> 2p = 6 and
:- P = 3 ( dividing both sides by 2)
P= 3 is the only solution to the equation above and it satisfies the equation.
1. Find the area of the parallelogram.
What is the area?
Answer:
67.5[tex]in^{2}[/tex]Step-by-step explanation:
Area of a parallelogram is base x height
The base of the given parallelogram is 9 inches and the height is 7.5 inches
So, its area would be
9 x 7.5
Area equals [tex]67.5^{2}[/tex]
Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.
Answer:
m = x / n
n = 15
Step-by-step explanation:
Number of chairs per row = m
Number of rows = n
Number of people = x
Number of chairs per row, m = number of people, x / Number of rows, n
m = x / n
If number of attendees, x = 60 ;
Number of chairs per row, m = 4
The number of rows, n = number of attendees / number of chairs per row, m
Hence, n = 60 / 4 = 15 rows
A survey of a random sample of juniors shows that 12% are not planning to attend homecoming, and 88%
are planning to attend. The survey has a margin of error of t8%. What is the range for the percentage of juniors who are
going to homecoming?
F 4% to 20%
G 4% to 12% H 80% to 96%
J. 4% to 96%
Answer:
i would guess
Step-by-step explanation:
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69% of the album is empty, how many pages are filled with compact discs?
Answer:
41
Step-by-step explanation:
each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.
1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?
2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?
Answer:
1. 93 m is the length of the rectangular garden.
2. The width of the window is 72 cm.
Step-by-step explanation:
HELP FOR TEST PLZ
find measure of angle 1
Answer:
the answer should be 98
Step-by-step explanation:
try it
Please help (;´༎ຶٹ༎ຶ`)
If x^2 =2” what is the value of x
Answer:
solution given:
x²=20
x=±√20 is your answer
Answer:
2
Step-by-step explanation:
[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²
Find the measurement of Dae need help fast
Answer:
D = 80 degrees or (76+4) C And F are 70 i think
Step-by-step explanation:
The number of boys and girls in a class are in the ratio 5:4. If the
number of boys is 9 more than the number of girls, then number of
boys is 9
Answer:
no.of boys is 45
Step-by-step explanation:
here, let the number of boys and girls be 5x and4x
ATQ,
5x=4x+9
or,5x-4x=9
or,x=9
then, the number of boys is 9×5=45
and the number of girls is 9×4=36..
Can anyone help? PLS I NEED THIS BY TOMORROW!!
Answer:5 or 5 degrees
Step-by-step explanation:
the box means 90 degree so if you divide 45 with 90 you get 2
2 divided by 10 = 5
Answer:
x = y = 10
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 10
Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then
x = y = 10
math help pls answer
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.
Answer:52.1
Step-by-step explanation:
adj/hyp= x/57
cos 24=x/57
57 cos 24=x
x=52.0721= 52.1 FT
Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?
Answer:
$81.6
Step-by-step explanation:
(1,360.00)(6%)=81.6
Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches
Answer:
Yes, it makes a triangle.
Step-by-step explanation:
When I used a measuring stick, it does create a triangle.
Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between
Answer:
Third side lies between 10 & 22.
Step-by-step explanation:
Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.
So, letting third size be = x
Difference of two sides < Third side x < Sum of two sides
Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22
Hence, 10 < Third side x < 22
Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.
In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
The measure of the side [tex]QR[/tex] is 8.8.
Step-by-step explanation:
Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:
[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio.
If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:
[tex]k = \frac{OL}{SP}[/tex] (1b)
[tex]k = \frac{55}{13}[/tex]
[tex]k = \frac{MN}{QR}[/tex]
[tex]QR = \frac{MN}{k}[/tex] (1c)
[tex]QR = \frac{37}{\frac{55}{13} }[/tex]
[tex]QR = 8.745[/tex]
The measure of the side [tex]QR[/tex] is 8.8.
I need help no links 20 points
Answer:
t x 1/8 = n 1/8 = 0.125 in decimal form!!
Step-by-step explanation:
If the same textbook is in a lower shelf that is o.75 m above the floor. What is its potential now?
Answer:
PE = 51.45 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8m/s^2)(0.75 m)
= 51.45 Joules
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of rs 50 per box.He spent rs 40 on transportation.He sold the eggs at rs 12 per pair.Calculate his gain or loss%.
Given:
A merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.
He spent Rs 40 on transportation.
He sold the eggs at rs 12 per pair.
To find:
The gain or loss percentage.
Solution:
The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:
[tex]12\times 50=600[/tex]
Number of eggs in 12 boxes is:
[tex]12\times 10=120[/tex]
He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:
[tex]600+40=640[/tex]
Cost of each egg is:
[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]
He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:
[tex]\dfrac{12}{2}=6[/tex]
We need to find the gain or loss percentage.
Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.
The gain percent is:
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]
[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]
[tex]Gain\%=12.5\%[/tex]
Therefore, the gain percent is 12.5%.
A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
The ages in years of eight boys are 14,
14.5, 12, 11.5, 15, 13, 10.5, 13.5. What is
their average age?
A. 14 B. 13
C. 12 D. 11
Answer:
B) 13
Step-by-step explanation:
Average age means to calculate mean:
Mean = (Sum of all numbers)/(Number of numbers)
Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8
Mean = (104)/8
Mean = 13
2 * blank equals 6.5
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
Plz give me brainllest