Answer:
32 quaters
Step-by-step explanation:
We have two unknowns, the number of quarters, Q and the number of dimes, D.
Since we have two unknowns, we need to come up with two equations using these unknowns
1st Equation) We know that 1 quarter = 0.25 dollars, 1 dime = 0.10 dollars and that Adriana has 16 dollars:
0.25 *Q + 0.10 * D = 16 dollars
2nd Equation) The problem also states that Adriana has two and half (2.5) times as many dimes than quarters:
D =2.5 * Q
Substitute Equation 2 into Equation 1 and solve for Q, the number of quarters
0.25 * Q + 0.10 * (2.5 * Q) = 16.00
(0.25 + 0.25) Q = 16
0.5 * Q = 16
Q = 16 / 0.5 = 32
Adriana has 32 quarters.
Adriana also she 2.5 * 32 dimes, which means she has 80 dimes
Check the results
0.25 * 32 + 0.10 *80 = 16.00
8.00 + 8.00 = 16.00
16.00 = 16.00
50 is the same as the quotient of p
and 10.
Answer:
500 divided by 10 = 50
Step-by-step explanation:
quotient means the answer of a division problem 50 is the quotient of 500 being divided by 10
Answer:
Setting this up;
50 = p/10
Step-by-step explanation:
Using the keywords;
'same as'
'quotient of'
and 'of p', we can determine how to format this expression.
Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?
Using translation concepts, it is found that the ordered pair of the final point is given by:
D. (5,4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this situation, considering that we start at point (5,4), the translations are as follows:
5 units east, hence x = x + 5 = 10.4 units south, hence y = y - 4 = 0.4 units west, hence, x = x - 4 = 6.4 units north, hence y = y + 4 = 4.1 unit west, hence x = x - 5 = 5.It ends at the starting point, hence option D is correct.
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Terry has an investment account which compounds interest continuously at an annual interest rate of 1. 4%. After 3 years, he has $1700 in the account. How much money did he initially place in the account? Round your answer to the nearest dollar. Do NOT round until you've calculated the final answer
Answer:
$1,630.08
Step-by-step explanation:
The value of an amount earning interest continuously compounded is given by the formula ...
A = Pe^(rt)
The value of P can be found by dividing by its coefficient:
P = A/(e^(rt)) = Ae^(-rt)
P = $1700·e^(-0.014·3) ≈ 1630.0786
Terry placed $1,630.08 in the account.
2and2/3 divided by 2/3
Answer:
4
Step-by-step explanation:
[tex]2\frac{2}{3}\div \frac{2}{3}[/tex]
[tex]\mathrm{convert\;mixed\;numbers\;to\;improper\;fractions:2\frac{2}{3}=\frac{8}{3}}[/tex]
[tex]=\frac{8}{3}\div \frac{2}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{8}{3}\times \frac{3}{2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{8\times \:3}{3\times \:2}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{8}{2}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4[/tex]
[tex]=4[/tex]
~Learn with Lenvy~
If you are given the graph of g (x) = log Subscript 2 Baseline x, how could you graph f (x) = log Subscript 2 Baseline x 5? Translate each point of the graph of g(x) 5 units up. Translate each point of the graph of g(x) 5 units down. Translate each point of the graph of g(x) 5 units left. Translate each point of the graph of g(x) 5 units right.
The function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function that is given to us is f(x)=log₂x, therefore, the function can be written as,
[tex]y=f(x)=\rm log_2x[/tex]
Now, since we need every point to be up by 5 units, therefore, every value of x should be +5 on the y axis, therefore, the function that will represent that every point up by 5 units of the function f(x) can be written as,
[tex]g(x) = y+ 5\\\\g(x) = f(x) + 5\\\\g(x) = {\rm log}_2x + 5[/tex]
Hence, the function that translates every point of the function f(x) 5 units above can be represented by g(x)=log₂x + 5.
Learn more about Function:
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Answer:
Its A: Translate each point of the graph of g(x) 5 units up.
Step-by-step explanation:
Amy went on a vacation for 6 weeks last summer. how many days. long was
Amy's vacation
Answer:
42 days
Step-by-step explanation:
6 weeks times 7 days is 42 days i believe
2 more than the difference between 8 and h
CHALLENGE Randi and her sister made balloon animals and sold them for $0.50 each at
a school carnival. They made $48.00. If Randi made twice as many balloon animals as
her sister, how many balloon animals did each girl make? Show your work.
Please help will give brainliest
Answer:
for freeee
Step-by-step explanation:
Write an equation to determine the measure of
5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram. Use scientific notation to express the number of bacteria that would be in a sample weighing 18 grams.
if Ibacteria are measured to be in a dirt sample that weighs 1 gram, Then he sample of bacteria that would be in a sample weighing 18 grams t is mathematically given as
x=1.044×10^9
What is the sample of bacteria that would be in a sample weighing 18 grams?Question Parameter(s):
5.8×10^7 bacteria are measured to be in a dirt sample that weighs 1 gram.
Generally, the equation for the statement is mathematically given as
5.8×10^7=1g
x=18grams
Therefore
x=\frac{5.8×10^7*18}{1}
x=1.044×10^9
In conclusion, the sample of bacteria is
x=1.044×10^9
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when does it become more efficient to buy another ticket book instead of additional individual tickets
Answer:
Because it’s easier to be alone than without friends if ur a depressed emo like me
x+5÷2=1 how to solve it.
my mistake wrong answer, sorry
A clock's minute hand travels one full circle each hour. A particular clock's minute hand is 10. 2 cm. What is the approximate area covered by that minute hand in 3 hours? Use 3. 14 for π. 192. 17 cm² 326. 69 cm² 980. 06 cm² I don't know.
In three hours, it will cover 3 full circles. Then the area of the circle covered in three hours is 980.55 cm².
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A clock's minute hand travels one full circle each hour.
A particular clock's minute hand is 10.2 cm.
In one hour, it covers one full circle. Then in three hours, it will cover 3 full circles.
The area of the circle covered in three hours will be
[tex]\rm Area \ of \ circle \ in\ 3\ hours = 3 * area\ of\ one\ circle\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi r^2\\\\Area \ of \ circle \ in\ 3\ hours = 3*\pi*10.2*10.2\\\\Area \ of \ circle \ in\ 3\ hours = 980.55[/tex]
More about the circle link is given below.
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What is 1 2/3x4= PLS HELP
A swimming pool has a length of 28 feet, a width of 16 feet, and a depth of 7 feet.
How much water can the swimming pool hold?
Answer:
The pool can hold 3,136 cubic feet of water
Step-by-step explanation:
To know how much water the pool can hold, we need to find the volume of this swimming pool, because the volume is how much a container can hold.
The formula for volume is L*W*H (length times width times height)
Let's multiply!
28*16*7=3136
2. Calculate the area of
the three figures.
Which figure has the
greatest area?
Answer:
can you send a clearer picture
Wich is an equation of the line with a slope of 1/4 and a y-intercept of -2
Answer: y = 1/4x -2.
Step-by-step explanation: The formula for these types of equations is y = mx + b, where m is the slope and b is the y-intercept. The slope, in this case, is 1/4 and the y-intercept is -2. The equation of the line for this problem is y = 1/4x - 2.
Hope this helps! :)
Part A
The number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators
NTS
(a)
a
0 1 2.
+ +
2 2 2
1
2
b.
0 1 2 3
+
3
+ +
3 3
3
2.
Seven
C
0 1 2.
7
+ +
7
7 7
+ ...
4
7
d.
0
1
+
10 10
-+
2
10
+...
10 10
5
10
Based on this pattern, which equation will have a sum that is a whole number? Select the correct answer.
、
wa
A 0 1 2
+
5 5
+
= 1
B
1 2 6
+ +
6
6 6
с
0 1
2 2 8
+
8
8 8 8
1 2
12
+ + +
12 12 12 12
DON on
- + +
160
on 16 ICOS
OIN
--
NIN
---
Answer:
A. 012.+22212
Step-by-step explanation:
A because you use that to add
The equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5
What is an whole number?A whole number means a number that does not include any fractions, negative numbers or decimals.
Given that, number sentences show a pattern in the sum of the fractions from 0 to 1 for different denominators,
1) 0/5 + 1/5 + 2/5 + .... + 5/5 =
1/5(0 + 1 + 2 + 3 + 4 + 5) = 1/5(15) = 3 [whole number]
2) 0/6 + 1/6 + 2/6 + .... + 6/6 =
1/6(0 + 1 + 2 + 3 + 4 + 5 + 6) = 21/6 = 7/2 [fraction]
3) 0/8 + 1/8 + 2/8 + .... + 8/8 =
1/8(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) = 36/8 = 9/2 [fraction]
4) 0/12 + 1/12 + 2/12 + .... + 12/12 =
1/12(0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) = 78/12 = 13/2 [fraction]
Hence, the equation having a sum that is a whole number is 0/5 + 1/5 + 2/5 + .... + 5/5
Learn more about whole number click;
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The complete question is attached
Which is a TRUE statement about slope?
please help me with this
When a line increases as you read it from left to right, the slope of the line is negative.
When the slope of a line is negative, the y-values decrease as the x-values increase.
The slope of a line is always positive.
The slope of a line is never 0.
Answer:
when a line increases as you read it from left to right,the slope of the line is negative
Answer:
When a line increases as you read it from left to right, the slope of the line is negative.
Step-by-step explanation:
mark me as brainliest please
What does X equal in this 30-60-90 triangle?
Answer:
19/2, or 9.5
Step-by-step explanation:
It's half of the longest side (You can see by flipping the triangle on the side between the 30 and the 90 angle, and notice that you get two halves of an equilateral triangle). In our case, its [tex]\frac {19}2 = 9.5[/tex]
Start a 4 create a pattern that multiplies each number by 2 and subtracts 1. Stop when you have 5 number
Answer:
(0 x 2) - 1 = -1
(1 x 2) - 1 = 1
(2 x 2) - 1 = 3
(3 x 2) - 1 = 5
Select all the following that describe the association in the scatter plot
Answer:
C) positive association
Step-by-step explanation:
draw a line if these points gather around a line there is a relationship . The slope of the line is positive .So graph positive correlation .
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. A ze-0.822-121 The area of the shaded region is (Round to four decimal places as needed.)
The area of the shaded region is 0.1271 (12.71%).
What is the z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean)/standard deviation
Given:
Mean 0 and standard deviation 1. Hence, for z=-1.14:
P(z < -1.14) = 0.1271
The area of the shaded region is 0.1271 (12.71%).
Find out more on z score at: https://brainly.com/question/25638875
Write a+b as a difference.
Answer:
I think a-b.
Step-by-step explanation:
Hope it's help you ✨
Two triangles that have three pairs of proportional sides are always similar. Identify the ratios of the length of
each side. Tell whether the triangles are similar or not similar and explain why.
Triangle 1: 18, 24, 36
Triangle 2: 16, 18, 24
Answer:
Step-by-step explanation:
Given "Two triangles that have three pairs of proportional sides are always similar."
Triangle 1: 18, 24, 36
Triangle 2: 16, 18, 24
16/18 = 8/9
18/24 = 3/4
24/36 = 2/3
So the three pairs of sides are not proportional and the triangles are not similar.
No as
One ratio is unsimilar so triangles are not similar
Evaluate the expression.
4x−5 for x=10
Enter the correct answer in the box.
Step-by-step explanation:
Substitute the given value of x into the expression;
[tex]4(10)-5[/tex]
Multiply;
[tex]40-5[/tex]
Subtract;
[tex]35[/tex]
prove that if∠ 1 ≅ ∠2, then ∠2 ≅ ∠3. what is m∠1?
We see that angle 1 and angle 2 are equal.
By the vertical angle theorem, the opposite (vertical) angles of two intersecting lines are congruent, we see that angle 1 and angle 3 must be equal. Since angle 1 and angle 2 are equal, then angle 2 and angle 3 are equal.
And for angle 1, it must be 90 degrees, because if it was any other angle measure, angle 1 and angle 2 could never be equal
f(x)= {x+4 if x<5
{8 if 5 < or equal to x<7
{2x-1 if 7 < or equal to x < or equal to 10
for f(x), evaluate the following:
A. f(0)
B. f(6)
show all of your work.
Answer:
A. f(0) = 4
B. f(6) = 8
Step-by-step explanation:
When evaluating a piecewise function, the fist step is to determine the applicable domain. Then the function defined for that domain is the one that is used for the evaluation.
A.x = 0 is in the domain x < 5, so the applicable function is f(x) = x+4.
f(0) = 0 +4 = 4
__
B.x = 6 is in the domain 5 ≤ x < 7, so the applicable function is f(x) = 8.
f(6) = 8
294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?
Use algebra (variables) to solve this question.
Please do not skip steps
5x + 14 = 294
5x = 280
x = 280 / 5
x = 56
56 students per bus