Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
Write the following using index notation:
a)2 x 2 x 2
b)x3 x 3 x 3 x 3
c)4 x 4 x 4 x 5 x 5
d)9 x 7 x 9 x 9 x 7 x 9
Answer:
A) 2^3
B)3^4
C)4^3*5^2
D)9^4*7^2
Step-by-step explanation:
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
What type(s) of symmetry does the figure have? (Check all that apply.)
Line Symmetry
Rotational Symmetry
None
Answer:
Rotational Symmetry
Step-by-step explanation: It stays the same when rotated
A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race? Answer in a complete sentence.
Answer:
it will take her 40 seconds to finish the race.
3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds
(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)
Step-by-step explanation:
I hope this helps :)
given the equation f(x) = -2x^2 + 4x + 6, find the average rate of change from x = 1 and x = 2
Answer:
-2
Step-by-step explanation:
Average rate of change is another term for average slope, and is found with the equation
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2} }[/tex]
The first point is (1, 8). The second point is (2,6).
[tex]m=\frac{8-6}{1-2} \\m=-2[/tex]
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
The amount of money spent on a pizza for club activities varies directly with the number of pizzas bought. If $135 will pay for fifteen pizzas, then how many pizzas can be bought with $252?
Answer:
28 pizzas can be bought
Step-by-step explanation:
you have to find the unit rate of the pizzas.
so 135 divided by 15 which is 9
and then you divide 252 by 9
It is found that 28 pizzas can be bought with 252 dollar.
What is unit rate?There is an independent quantity, and a quantity that depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called the rate of increment of dependent quantity per unit increment in independent quantity.
We have been given amount of money spent on a pizza for club activities varies directly with the number of pizzas bought.
We need to find the unit rate of the pizzas
Unit rate = Total amount/ Number of pizzas
Unit rate = 35/15
Unit rate = 9
Also,Unit rate = 259/13
Unit rate = 28
Therefore, 28 pizzas can be bought.
To learn more about the unitary method, please visit the link given below;
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Drag statements and reasons to each row to show why the slope of the line between P and Q is the same as the slope between Q and R, given that triangles A and B are similar.
hi i know i’m late but to help out any future people, the answer is
Row One: Statement: 3/2=slope Reason: Definition of Slope
Row 2: Statement: 3/2=6/4 Reason: Triangle A is similar to Triangle B
Answer:
Step-by-step explanation:
Jamon can type 300 words in 8 minutes. At this rate, how many words can he type in 20 minutes?
A car dealership pays a wholesale price of $12,000 to purchase a vehicle.
During a special sales event, the dealership offers a 10% discount off of the retail price. After the discount, how much will a customer pay for this vehicle? Show your work.
Answer:
$10800
Step-by-step explanation:
$12000 is the original price so let's set that as 100%. Since there's a 10% discount, you have to find out the 90% soo.
100% - $12000
90% - $12000 x 90/100 = $10800
WILL MARK BRAINLIEST
Answer:
b = 6
Step-by-step explanation:
a² + b² = c²
8² + b² = 10²
8² + b² - 8² = 10² - 8²
b² = 100 - 64 = 36 = 6²
b = 6
SIMPLE INTEREST
Interest = $40
Principal = $400
Interest rate = ?
Time = 2 years
Answer:
442
Step-by-step explanation:
Which expression is equivalent to (4x^4/2x^3)^3?
A) 2x
B) 8x
C) 8x^3
D) 16x^21
Answer:
None are you sure you have the right expressions.
Step-by-step explanation:
(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21
How much times can two go into six
Answer:
3 because if you can only make two groups of three
(and how do you not know this? I really dont want to be rude)
Answer:
3
Step-by-step explanation:
What is the congruence theorem used to prove that the two triangles are congruent?
What are the values of a, b, and c in the matrix addition below?
4
1
-5
-8
0
6
-4 1
1
1
-10
2
2
13
-4
5
-1
a
7
12
+
3
3
3
15-12
3
18 b
3
-8
-9
6
-3
11
-8 C
17
a=-5
b=-9
o
C=-12
a=-14
O b= 15
C=-12
a=-14
b=-9
[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]
The solution is, the values of a = -14, b= -9, c = -12.
What is Matrix?Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
here, we have,
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.
We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.
and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.
we get,
the addition of the two given matrices is,
[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]
Then, the values of a = -14, b= -9, c = -12.
Learn more about Matrix here:
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Lela records her bank transactions in her checkbook. The table shows some of her
recent entries. Today, Lela wrote a check for $15 to her mom. How should she record
this amount in her checkbook?
Answer:
B -15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
she has -15
the polygon in each pair are similar.find the missing side length.
the answer should be 8..
It is difficult to change how good I am at math even if I try hard and practice a lot.
A. strongly agree
B. agree
C. disagree
D. strongly disagree
Answer:
B
Step-by-step explanation:
Please give me the correct answer
Answer:
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs, and "c" is the hypotenuse.
It is given that;
b = 15.
c = 17
a = x
[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]
[tex]x^2[/tex] + 225 = 289
[tex]x^2[/tex] = 64
x = 8
To find the area of a square, one has to raise one of the sides to the power of two.
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Find the total amount given the original price and tax or tip rate. Round to the nearest hundredth if necessary.
Original price: $156.67
Tax or tip rate: 6%
Answer:
Step-by-step explanation:
if we tip/tax 6% of 156.67 we will do:
156.67*(6/100)=9.40 this is the amount of tip
156.67+9.40=166.07
A six-sided die is rolled 2 times. What is the fractional probability of rolling a 6 the first time and an even number the second time?
The probability of getting 6 the first time and an even number the second time is 1/12.
what is probability?probability is the quantification of possibilities in numbers.
(1) probability of rolling a 6 for the first time:
total possible outcomes = (1,2,3,4,5,6) =6
sample space = 1
probability of getting 6 = sample space/total possible outcomes
probability of getting 6 = 1/6
2)probability of getting an even number
total possible outcomes will be (1,2,3,4,5,6)
sample space = (2,4,6) ie 3
probability of this = 3/6 = 0.5
total probability = 1/6*0.5 = 1/12
therefore,
The probability of getting 6 the first time and an even number the second time is 1/12.
to get more about probability refer to:
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Based on the given information, determine which two statements are true and which is a lie. Explain what is incorrect about the “lie.”
Answer:
The first statement is a lie, second and third statement is true.
Step-by-step explanation:
Consider the provided information.
For two similar triangles, if the scale factor is a : b, then the ratio of their perimeters will be a : b.
For two similar triangles, if the scale factor of a : b, then the ratio of their areas will be [tex]a^2 : b^2[/tex].
For two similar triangles, if the scale factor is a : b, then the ratio of their altitudes will be a : b.
It is given that the ratio of perimeters is 6:1 which is incorrect as the ratio should be 3:1.
It is given that the ratio of areas is 9:1 which is correct because [tex]3^2 : 1^2=9:1[/tex].
It is given that the ratio of the altitude is 3:1 which is correct.
Hence, the first statement is a lie, second and third statement is true.
Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D. Y=2x−15
Answer:
y = 12x-15
Step-by-step explanation:
The equation of a line is given by :
[tex]y=mx+c[/tex]
Where
m is slope and c is y-intecept.
Here, the slope is 12 and y-intercept is -15.
Then the equation is :
y = 12x+(-15)
or
y = 12x-15
Hence, the required equation for the line is "y=12x-15".
Simplify the following expression by combining like terms. Then select the
correct answer from below.
2 + 30 – 3+232 +8 - 53
Answer:
216
Step-by-step explanation:
2+30-3+232+8-53
32-3+232+8-53
29+232+8-53
261+8-53
269-53
216
what is the answer to this solution. -7r−4≥ 4r+2
Answer:
The solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
[tex]-7r-4\ge \:4r+2[/tex]
Add 4 to both sides
[tex]-7r-4+4\ge \:4r+2+4[/tex]
Simplify
[tex]-7r\ge \:4r+6[/tex]
Subtract 4r from both sides
[tex]-7r-4r\ge \:4r+6-4r[/tex]
Simplify
[tex]-11r\ge \:6[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)[/tex]
Simplify
[tex]11r\le \:-6[/tex]
Divide both sides by 11
[tex]\frac{11r}{11}\le \frac{-6}{11}[/tex]
Simplify
[tex]r\le \:-\frac{6}{11}[/tex]
Therefore, the solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
are 5(8y - 8) and 40y - 40 equal?
Answer:
yes
Step-by-step explanation:
5(8y-8) = 5*8y - 5*8 by distributive property. simplify that, you get 40y-40, which is equal to 40y-40.
I hope this helped, please give brainliest if this is correct! Thank you!
If r = 12 cm, what is the area of this sector? Express your answer to the nearest tenth of a centimeter.
Answer:
339.3 cm
Step-by-step explanation:
12 • 12 = 144
Find 144π
Find 3/4 of it
Answer:
339.3 to nearest tenth of cm^2.
Step-by-step explanation:
This is 3/4 of a circle so the area is:
3/4 * pi r^2
= 3/4 * 12^2 pi
= 108 pi
= 339.292
Is this statement true or false?
p = 2 is a solution to p – 5 <20
O true
O false
Answer:
true
Step-by-step explanation:
Answer:
it is the solution
Step-by-step explanation:
because p is 2
2-5<20
-3<20 which is true
I need somebody
(Help!) not just anybody help
Answer:
It is C √2/2
Step-by-step explanation: