Answer: $3.15
Step-by-step explanation: 9% of 34.90 is 3.15
You collect $234 selling small and large smoothies. you sell a total of 46 smoothies. how many of
size did you sell?
The number of small smoothies sold is 26.
The number of large smoothies sold is 20.
What is the number of each size sold?The first step is to form a pair of simultaneous equations:
s + l = 46 equation 1
4s + 6.5l = 234 equation 2
Where:
s = number of small smoothies sold
l = e number of large smoothies sold
Multiply equation 1 by 4
4s + 4l = 184 equation 3
Subtract equation 3 from equation 2
2.5l = 50
Divide both sides of the equation by 2.5
l - 50 / 2.5
l = 20
Subtract 20 from 46
s = 46 - 20 = 26
Here is the complete question:
You collect $234 selling small and large smoothies. You sell a total of 46 smoothies. A small size is $4 and a large size is $6.50. How many of each size did you sell?
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Select the values that make the inequality -a<4 true.
Then write an equivalent inequality, in terms of aa.
(Numbers written in order from least to greatest going across.)
The values that satisfy the inequality are -3 , 0 , 14 .
A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. On the number line, size comparisons between two numbers are typically conducted. Different notations can be used to represent various kinds of inequalities, including:
The symbol a <b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities. Equivalence is not considered.
Now the given inequality is of the form -a < 4
solving we get:
a > - 4
Therefore the number which will satisfy this inequality are:
-3 , 0 , 14 .
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Find the circumference and area of a circle with diameter 16 ft. Express your answer in terms of π.
Answer:
50.27 ft
Step-by-step explanation:
hope this helps :)
Brady jogs laps around a circular park with a fountain at the center. Which table could represent Brady’s distance from the fountain after jogging around the path for a number of minutes?
The function that represents the distance from the fountain is:
Number of minutes Distance
0 50
2 60
4 70
6 60
8 50
What is the function that represents the distance around the fountain?A circle is a bounded figure which points from its center to its circumference is equidistant.
If Brady jogs around the circular park with a fountain at its center, it means that at a point as he runs he would be further away from the fountain. And with time, he would be approaching the fountain since the park is circular. Thus, the function that represents the distance Brady runs from the fountain would be increasing at a point and then start to decrease.
If the park were a straight line, the function would be increasing with time.
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Answer:
Step-by-step explanation:
C on edge
Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2.
Step 1 - Fill in the missing number:
A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is k.
On the outside to the left of the L shape is K, then the synthetic division used to represent the dividend is[tex]2x^{3} +10x^{2} +x+5[/tex].
What is Synthetic division?A more straightforward method of dividing a polynomial using a degree one polynomial equation is known as synthetic division.
a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.
Here,
An L shape is created when a vertical line and a horizontal line are combined.
Within the form, there are two rows of entries.
Entries 2, 10, 1, and 5 are in row 1.
Row 2 has the entries -10, 0 and blank.
On the outside, to the left of the form, is entry number five.
The entry stands for the divisor's zero.
This entry for the variable, let's say x, is [tex]2x^{3} +10x^{2} +x+5[/tex].
Therefore, the Synthetic division of the dividend is [tex]2x^{3} +10x^{2} +x+5[/tex].
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Answer: Step 1: K=2, Step 2: A=1, Step 3: B=2, C=-1, D=-2 LAST QUESTION is A on edge.
Step-by-step explanation:
Substitute and Evaluate
Find 6x +7 when x = 5
According to the question given that 6x +7 if x = 5 .If we put x=5 then we get the final answer i.e 37.
= 6x + 7
= 6×5 + 7 putting ( x=5)
= 30 + 7
= 37.
The exponent of a number indicates how many times a number has been multiplied by itself. For instance, [tex]3^4[/tex] indicates that we are multiplying 3 by 4 times. Its full form is 3 3 3 3. Exponent is another name for a number's power.
How many times we must multiply the reciprocal of the base is indicated by a negative exponent. For instance, if a-n is provided, it may be stretched to 1/an. It implies that we must multiply 1/a 'n' times, which is the reciprocal of a. When writing exponentiated fractions, negative exponents are employed.
A fractional exponent is one where the exponent of a number is a fraction. Parts of fractional exponents include square roots, cube roots, and nth roots. The square root of a base is a number having a power of half. The term "cube root of the base" is also used to describe a number with a power of 3.
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How many different possible outcomes are there if you spin 3 spinners labeled Red, Blue, Yellow?
The number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.
There are 3 spinners:
Red
Blue
and yellow.
Number of possible outcomes will be calculated by using permutation.
So, we get that:
Number of possible outcomes = 3 × 2
Number of possible outcomes = 6 ways.
Therefore, the number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.
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Tonya is paid a salary of $650 a month at her sales job. She also earns a commission on her sales in this way: 3% on all sales up to $32,000 in a month
and 8% on all higher sales. What were Tonya's total earnings for a month where her total sales were $80,000?
Tonya's total earnings are the sum of the basic pay and other commissions so Tonya's earnings for a month including all incentives will be $5450.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Basic pay of Tonya = $650
3% of 32000 ⇒
3 × 32000 / 100 = $960
Now 8% on higher of $32000
Amount higher of $32000 ⇒ 80000 - 32000 = $48000
So,
8% on 48000 ⇒
8 × 48000/100 = $3840
Total earning = 650 + 960 + 3840 = $5450
Hence "Tonya's total earnings for a month including all incentives will be $5450".
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A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula P t = P o 2 t d , where P o is the original number of bacteria cells, P t is the number after t hours, and d is the time taken to double the number.
Answer:
Step-by-step explanation:
Explanation:
I would write the growth function as:
y
=
100
e
k
t
So that at
t
=
0
we get:
y
=
100
e
0.02
⋅
0
=
100
bacteria.
At
t
=
5
hours we will get:
y
=
100
e
5
⋅
0.02
=
110
bacteria.
To double the initial number we need to solve:
200
=
100
e
0.02
t
e
0.02
t
=
2
Apply natural logs to both sides:
ln
(
e
0.02
t
)
=
ln
(
2
)
0.02
t
=
ln
(
2
)
t
=
ln
(
2
)
0.02
=
34.65
≈
34.6
34
hours and 36 minutes approx.
Kari has a mass of thirty-eight and
ninety-seven hundredths kilograms.
What is her mass in standard form?
Answer:
38.97 kilograms
Step-by-step explanation:
38 ones and 97 hundredths
38 0.97
38.97
Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What is the minimum score you would need to be in the top 2%?.
If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.
This type of problem can be referred to as a normal distribution problem.
It can be solved by using the z-score.
Formula;
Z = x - μ / σ
Here,
Z represents the standard score
x represents the observed value
μ represents the mean
σ represents the standard deviation
The z- score can be found by using the p-value on a standard table.
As the minimum score to be in the top 2% is needed to be found, p-value = 0.02
z- score that corresponds to the p-value of 0.02 in the standard table is equal to 2.054
Hence,
2.054 = x - 76.4 / 6.1
2.054(6.1) = x - 76.4
12.529 = x - 76.4
x = 12.529 + 76.4
x = 88.929
Hence the minimum score needed to be in the top 2% is calculated to be 88.929
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8 ײ + 3× -10
- 2ײ +8 × + 10
please solve and give a solution thankyou
Answer:
6x²+11x
Step-by-step explanation:
1. Group like terms
[tex]8x^2-2x^2+3x+8x-10+10[/tex]
2. Add like terms
[tex]6x^2+3x+8x-10+10[/tex]
3. Add the numbers
[tex]6x^2+11x[/tex]
You put 7 tiles with the letters A through G into a bag. You reach in without looking and
pull out 3 tiles and place them in a row. What is the probability that they spell BAG?
Express your answer as a decimal rounded to the nearest thousandth.
Having 7 tiles named A to G in a bag and picking 3 of them have the probability that they'll spell BAG is 0.0050.
What is probability ?Probability is the chance of occurring a certain event out of the total possible events that can occur in a given scenario.
According to the given question you put 7 tiles with the letters A through G into a bag.
Total no. of sample space N(S) = 7.
∴ The probability of getting getting B named tile P(B) is = 1/7.
Now as we are not replacing the tiles there are 6 tiles now so probability of getting A named tile P(A) = 1/6 and in the same way probability of getting G named tile is P(G) = 1/5.
∴ The probability that they will spell BAG P(BAG) is = (1/7)×(1/6)×(1/5) = 0.0050.
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Solve each equation. Check your answers. 2 ln x+3 ln 4=4
On solving the logarithmic function, 2 ln x+3 ln 4=4, we get value of x as is x = √e⁴ - 63.
What is the logarithm function ?In mathematics, the opposite of exponentiation is the logarithm. This means that the logarithm of a given number, base b, represents the exponent to which that number must be increased in order to get a certain number, x.
Given equation is -
2 ln x + 3 ln 4=4
⇒ ln x² + ln 4³ = 4
⇒ ln (x² + 4³) = 4
⇒ taking e
⇒ log e(x² + 4³) = 4
⇒ e⁴ = x² + 4³
⇒ e⁴ = x² + 63
⇒ x = √e⁴ - 63
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The points E(-8,1)(−8,1), F(1,1)(1,1), and G(-3,8)(−3,8) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary. NO NEED TO PLOT THE POINTS JUST FIND THE PERIMETER...
Using the distance formula, the perimeter of triangle EFG = 25.7 units
How to Find the Perimeter of a Triangle?The perimeter of triangle EFG = EF + FG + EG
Using the distance formula, d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], find the lengths of EF, FG, and EG:
Find EF:
E(-8,1) = (x1, y1)
F(1,1) = (x2, y2)
Plug in the values
EF = √[(1−(−8))² + (1−1)²]
EF = √[(9)² + (0)²]
EF = √81
EF = 9 units
Find FG:
F(1,1) = (x1, y1)
G(-3,8) = (x2, y2)
Plug in the values
FG = √[(−3−1)² + (8−1)²]
FG = √[(−4)² + (7)²]
FG = √65
FG ≈ 8.1 units
Find EG:
E(-8,1) = (x1, y1)
G(-3,8) = (x2, y2)
Plug in the values
EG = √[(−3−(−8))² + (8−1)²]
EG = √[(5)² + (7)²]
EG = √74
EG ≈ 8.6 units
Perimeter of triangle EFG = 9 + 8.1 + 8.6
Perimeter of triangle EFG = 25.7 units
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find the quotient of 68.0052 and 12 round your answer to the nearest hundredth 
ILL GOVE BRAINLIEST
Answer:
5.67
Step-by-step explanation:
The quotient was 5.6671 and rounded to the nearest hundredth is 5.67. Hope it helps.
2 is subtracted from the product of 6 and a number
Answer:
6n-2
Step-by-step explanation:
Write the expression
subtracted from means it comes after
product of 6 and a number means multiply
6n
2 is subtracted from
6n-2
Answer:
It can be expressed as:
6x-2
6(coefficient)
x(variable)
2(constant)
There are 240 students in the seventh grade, and 10% are in the Environmental Club.
How many students are in the Environmental Club?
What is the value of test_val after the following code is executed? a = 12 test_val = 6 if a * 2 == test_val: a = a 7 else: test_val = 2 * a test_val = a 1
The value of test_val after the following code is executed is: 13.
What is Python?Python can be defined as a high-level programming language that is designed and developed to build websites and software applications, especially through the use of dynamic commands (codes or semantics) and data structures.
What is a variable?A variable can be defined as a specific name which refers to a location in computer memory and it is typically used for storing a value such as an integer or string.
Based on the given Python code, we have:
if a * 2 == test_val:
if 12 * 2 ≠ 6:
Therefore, we have:
test_ val = a + 1
test_ val = 12 + 1
test_ val = 13.
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Jose receives $1270 per year from three
different investments totaling $20,000. One of
the investments pays 6%, the second one pays
8%, and the third one pays 5%. If the money
invested at 8% is $1500 less than the amount
invested at 5%, how much money has Jose
invested in the investment that pays 6%? SET
UP BUT DO NOT SOLVE.
The answer is. $1500.
Let x represent the amount invested at 5%, then is the amount invested at 8%, and is the amount invested at 6%. Since the total return is $1270:
let money invested at 5%= x
money invested at 6%
= 20000- (X+X-1500)
21500-2x
Total interest for 1 year.
x×5/100+ (x-1500)×8/100+(21500-2x)×6/100 = 1270
5x/100+8(x-1500)/100+(21500-2x)6/100=1270
5x+8x-12000+129000-12x = 127000
x+117000 = 127000
x = 10000
money invested at 8%
=21500-2×10000
= 1500.
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Evaluate each expression for x=-2,0 , and 2 .
-(3)⁰.⁵x}
The result of the expression -(3)⁰.⁵x for x = -2 is 3.4, for x = 0 is 0 and for x = 2 is - 3.4
The question states to evaluate the given expression, that is, -(3) ⁰.⁵ x for the given values of x, that are, x = -2, x = 0, and x = 2.
This question can be easily solved by using the concept of substitution. We have to substitute the given values of x in the given expression one after the other and note the answer.
For x = -2.
we get, -(3) ⁰.⁵ ( - 2) = - 1.7 * (-2) = 3.4
For x = 0.
we get, -(3) ⁰.⁵ ( 0 ) = - 1.7 * ( 0 ) = 0
For x = 2.
we get, -(3) ⁰.⁵ ( 2 ) = - 1.7 * ( 2 ) = - 3.4
Therefore, we get the result of the expression -(3)⁰.⁵ x for x = -2 as 3.4, for x = 0 as 0 and for x = 2 as - 3.4
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Find the slope-intercept form of the equation of the line that passes through the points
(2, -1) and (-3, 4)
Answer:
-1
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
(2, -1) and (-3, 4)
4+1/-3-2=
=5/-5=-1
The slope is -1. The line is slanted down from left to right.
Hope this helps!
Please mark as brainliest if correct!
Answer:
y = - x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 1 ) and (x₂, y₂ ) = (- 3, 4 )
m = [tex]\frac{4-(-1)}{-3-2}[/tex] = [tex]\frac{4+1}{-5}[/tex] = [tex]\frac{5}{-5}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 3, 4 )
4 = 3 + c ⇒ c = 4 - 3 = 1
y = - x + 1 ← equation of line
True or false. any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by two and five?
Use natural logarithms to solve each equation.
ex/₅+4=7
-10.27 is the value of x in equation [tex]e^{\frac{x}{5} + 4}[/tex] = 7 solved by using natural logarithms
We have been asked to find x in [tex]e^{\frac{x}{5} + 4}[/tex] = 7 using natural logarithms
⇒ [tex]e^{\frac{x}{5} + 4}[/tex] = 7
⇒ [tex]\frac{x}{5}[/tex] + 4 = ㏑(7)
⇒ [tex]\frac{x}{5}[/tex] = ㏑(7) - 4
⇒ x = ㏑(16807) - 20
= -10.27
What is a natural logarithm?A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.
The power to which e would need to be raised in order to equal x is the natural logarithm of x.
For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.
Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.
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Correct questionUse natural logarithms to solve each equation.
[tex]e^{\frac{x}{5} + 4}[/tex] = 7
Please help I don’t know how to solve I can’t find an explanation in my textbook I need someone to explain pls
The distance value of the BD, CE, AC is 2 cm, 2 cm, 9cm.
According to the statement
We have to find that the distance between the given points.
So, For this purpose, we know that the
The distance between two points is the length of the path connecting them.
From the given information:
The given values of the points are:
Ab = 5 cm and AD = 7 cm and AE = 11 cm
Then we know that the
BD = AD -AB and
And the BD = CE and AC = AE - CE
Here we have to find the value of the BD, CE, AC .
Then
BD = AD -AB
BD = 7 -5
BD = 2
And
BD = CE
2 = CE
CE = 2cm
And
AC = AE - CE
AC = 11- 2
AC = 9cm.
So, The distance value of the BD, CE, AC is 2 cm, 2 cm, 9cm.
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1. Your friend sends you to the store with $20.
a) She needs bread, 3 cans of beans, and something dairy. How much do each cost? How much will
that cost in total?
b) Your friend says you can get a snack if you have enough money left over. Can you get a snack? How
much did you spend shopping? Include the amount
c) What snack did you buy
Please help guys, I need this in an hour
Using the segment addition postulate, we have that:
5. The graph is given at the end of the answer.
6. The value of x is of x = 9.
7. The length is of PQ = 46.
8. The length is of QR = 46
9. The length is of PR = 92.
What is the segment addition postulate?The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.
For item 5, the diagram is given at the end of the answer.
For item 6, due to the congruence, Q is the midpoint, that is:
PQ = QR.
Hence:
6x - 8 = 10x - 44
4x = 36
x = 9
For the remaining items, the lengths are given as follows:
PQ = 6x - 8 = 46.QR = 10x - 44 = 46.PR = PQ + QR = 92.More can be learned about the segment addition postulate at https://brainly.com/question/2134445
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please answer quick thanks
Answer:
3h-6=d
Step-by-step explanation:
h=d/3 +2
take away 2 on both side this gives
h-2=d/3
multiply by 3 on each side which gives
3(h-2) =d
expand the brackets this gives
3h-6=d
so final answer is
3h-6=d
Answer:
The answer is d = 3h - 6........
ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answer:
Slope or (m) = 1 Give Brain
Solve each equation.
10x=1/100
For the given equation 10x=1/100, the value of x is 0.001
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
It has the formula Ax + B = 0, with A and B being any two real integers and x being an ambiguous variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.
Given,
10x = 1/100
x = 1/1000
x = 0.001
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