Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
c is your answer hope it helps you
Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?
Answer:
There are 91 cookies in the package of cookies
Step-by-step explanation:
The given parameter for the number of cookies are;
The number of cookies left when eating 3 at a time = 1 cookie
The number of cookies left when eating 5 at a time = 1 cookie
The number of cookies left when eating 7 cookies at a time = No cookie leftover
Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;
The number of cookies in the pack, n < 100
Therefore, we have;
3·a = n - 1
5·b = n - 1
7·c = n
∴ n - 1 is a multiples of 3 and 5 less than 100 which are;
15, 30, 45, 60, 75, and 90
Therefore, the possible values of 'n' are'
n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91
Multiples of 7 includes;
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98
Therefore, n = 91 which is the number that appear simultaneously in both search
The number of cookies in a package = 91 cookies
what is the product of (8-3a)(8-3a)
Answer:
i think is is 64a
Step-by-step explanation:
Answer:
[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]
How many days in 33 weeks?
Plss hellpppp....
Answer:
There are 231 ;)
Step-by-step explanation:
Answer:
231:)
Step-by-step explanation:
PLS HELP ASAP! HURRY, GIVING BRAINLY!
PLEASE NEED HELP ASAP
Answer:
Trapezoid
Step-by-step explanation:
They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.
That means it's at least a trapezoid.
As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).
It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.
As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).
Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).
A motorist drives 146km at a certain speed. She then increase this speed of by 19km/hr and take the same time to travel the next 16km. Find her speed for both part of the journey. Pleaseeeeeeeeeeee helpppppppppppp
Step-by-step explanation:
A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.
find her speeds for both parts of the journey.
:
let s = his original speed
then
(s+9) = the increased speed
:
Write a time equation; time = dist/speed
146%2Fs = 164%2F%28%28s%2B9%29%29
cross multiply
164s = 146(s+9)
164s = 146s + 1314
164s - 146s = 1314
18s = 1314
s = 1314/18
s = 73 km/h is his original speed
:
Which equation is equivalent to 2 - 2(3x - 1) = 2?
A.-6x = 2
B.-5x = 2
C.-6x + 4 = 2
D.-5x + 4 = 2
can u plzzzz help me brainliest
Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.
Answer:
100 miles
Step-by-step explanation:
Given data
let the number of miles driven be x
and the total charge for x miles be y
Hence the expression for the total charge is
Rapid Rental Car
charges a $55.00 rental fee plus $0.25 per mile driven.
y= 55+0.25x--------------1
Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
y= 45+0.35x--------------2
Equate 1 and 2
55+0.25x= 45+0.35x
collect like terms
55-45=0.35x-0.25x
10=0.1x
x= 10/0.1
x= 100 miles
Hence the mile is 100 miles
Find the missing angle.
Answer:
126 Degrees
Step-by-step explanation:
180-54=126
Answer:
126 hope it may help u btw thnx for points
Step-by-step explanation:
x +54 =180 bcz of linear pair
then 180-54=126
At Shop A, 2 pounds of crawfish costs $6. At Shop B, 5 pounds of crawfish costs $15. Jacoby says the cost per pound is the same at both shops. Is Jacoby correct? Explain your reasoning.
Answer:
Jacoby is correct.
Step-by-step explanation:
Shop A= $6 ÷ 2 = $3/pound
Shop B= $15 ÷ 5 = $3/pound
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answer:
$9,151.38
Hopefully that is correct!!
6th Grade Math:
A 5-pound bag of cat food costs $11. What is the unit price of the cat food?
Answer:
The unit rate is 2.20. For a single pound of cat food it would cost $2.20
what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Given:
The equation of a circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
Write the given equation in standard form of a circle.
[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]
[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]
[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]
On further simplification, we get
[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0.5,k=1,r=2[/tex]
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
» Which shape is a parallelogram with 4 right angles?
Answer:
rectangle
Step-by-step explanation:
Answer: Rectangle
Step-by-step explanation: Hope this helps ! :)
Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS
Answer:
5 games
Step-by-step explanation:
1.50x + 1.25 = 8.75
1.50x = 7.50
x = 5
How far from zero is 5.5?
Answer: 5.5
When you subtract 5.5 from 5.5 you get 0
Water and oil are mixed in the ratio 3:5. Find the density of the mixture if the density of water is 1g/cm ^3 and that of oil is 0.8g/cm^3
Answer:
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
Step-by-step explanation:
Density of mixture = density of water in the mixture + density of oil in the mixture
Given: water and oil were mixed in a ratio 3:5
density of water is 1.0 g/[tex]cm^{3}[/tex] and that of oil is 0.8 g/[tex]cm^{3}[/tex].
Then,
density of water in the mixture = 3 x 1.0 g/[tex]cm^{3}[/tex]
= 3.0 g/[tex]cm^{3}[/tex]
Density of the volume of water in the mixture is 3.0 g/[tex]cm^{3}[/tex].
density of oil in the mixture = 5 x 0.8 g/[tex]cm^{3}[/tex]
= 4.0 g/[tex]cm^{3}[/tex]
Density of oil in the mixture is 3.0 g/[tex]cm^{3}[/tex].
So that,
Density of mixture = 3.0 + 4.0
= 7.0
Density of mixture is 7.0 g/[tex]cm^{3}[/tex].
Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE
Answer:
$12644.56
Step-by-step explanation:
one year = 12 month
4,000 * (1.02)^(6*12) = 16644.5615
16644.5615-4000 = 12644.5615
Answer:
Step-by-step explanation:
[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]
Why is the applied effort only ½ of the weight to be lifted in the movable single pulley system?
Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.
Step-by-step explanation
Just took a test on this, I passed
Which point represents the unit rate?
A
B
C
D
Answer:
d
Step-by-step explanation:
Which expression is equivalent to the following: 5(6f + 5)
Answer:
30f+25 I hope it is a right answers
I hope this answers is useful for you
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
Please help;due today
Answer:
148 degrees
Step-by-step explanation:
360 - 74 - 138 = 148 degrees
PLZZZZ HELP
A. 178.3
B. 196.5
C. 250.8
D. 292.5
E. 297. 1
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
Find the percent of change. Round your answer to the nearest tent necessary, Please explain.
Original price: $185
New price: $160
Original number of students: 56
New number of students: 77
Answer:
No answer just clues
Step-by-step explanation:
x/100*160/1=185/1
y/100*56/1=77/1
I just can't do anymore metal math today, sorry.
Can anyone give me the answer and tell me how you did it?
Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.
Solve the equation for this problem.
After you find the answer you need to find out if its cents, dollars,partners,or fruit
Thank you!
Answer:
the answer is 150
Step-by-step explanation:
Help! 30 Points! Find x
Answer:
do math
Step-by-step explanation:
De student.cms.k12.nc.us bookmarks
Tgbhyuj190[:Op = BubbleSheet
M Email Natoli, Micha..
Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:
m<ABD = m<CBD. Therefore:
2(m<ABD) = m<ABC
Substitute:
2(2x + 12) = 44
Solve for x.
4x + 24 = 44 (distributive property)
4x + 24 - 24 = 44 - 24 (substraction property of equality)
4x = 20
4x/4 = 20/4 (division property of equality)
x = 5