Using proportions, the cost of the 17-ounce sundae is of $5.95.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Considering the 12-ounce sundae bought for $4.2, the cost per ounce is given by the following proportion:
$4.2/12 = $0.35.
Hence the cost of a 17-ounce sundae is:
$0.35 x 17 = $5.95.
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Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared
The equation which could be used to find the length of the hypothenuse is; 5 squared + 8 squared = c squared.
Which equation could be used to find the length of the hypothenuse?.It follows from the task content that the equation which could be used to find the length of the third side be determined.
Hence, since it follows from Pythagoras theorem that the square of the hypothenuse is equivalent to the sum of the squares of the two other sides of a right triangle.
Hence, the required equation is; 5 squared + 8 squared = c squared.
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Answer:
The answer is A
5 squared + 8 squared = c squared
Step-by-step explanation:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct statements are –6x + 15 < 10 – 5x and a number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Inequality expressionInequality are expressions not separated by an equal sign. Given the inequality expression:
–3(2x – 5) < 5(2 – x)
Expand
-6x +15 < 10 - 5x
Collect the like terms
-6x+5x < 10 - 15
-x <-5
x > 5
Hence the correct statements are –6x + 15 < 10 – 5x and a number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
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A family needs to build fencing around their rectangular home and square swimming pool, depicted below.
A rectangle labeled home has its right side labeled (2 + 5 x) yards and its bottom side labeled (3 + 10 x) yards. The square, labeled pool, is smaller than the rectangle. One of its sides is labeled (2x) yards.
The total amount of fencing they need can be written as x + 10.
If x = 5;
The family needs yards of fencing for their home.
The family needs yards of fencing for their pool.
The total amount of fencing they need = 38x + 10.
Perimeter for the rectangular fencing of the home = 160 yards
Perimeter for the square fencing of the pool = 40 yards
What is the Perimeter of a Rectangle and a Square?Perimeter of a rectangle = 2(length + width)
Perimeter of a square = 4(side length).
Perimeter for the rectangular fencing of the home = 2(3 + 10x + 2 + 5x) = 2(15x + 5) = 30x + 10
Perimeter for the square fencing of the pool = 4(2x) = 8x
The total amount of fencing they need = 30x + 10 + 8x = 38x + 10.
If x = 5, then:
Perimeter for the rectangular fencing of the home = 30x + 10 = 30(5) + 10 = 160 yards
Perimeter for the square fencing of the pool = 4(2x) = 8x = 8(5) = 40 yards.
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Answer:
38
160
40
Step-by-step explanation:
She spent 18.62 in grosherys she has 43.55 left how much did she have before she bought grashery
Answer:
Step-by-step explanation:
43.55 + 18.62 = 62.17
What is the y-value of point A? On a coordinate plane, point A is 6 units to the right and 1 unit up.
Answer:
1
Step-by-step explanation:
Points on a coordinate plane are written as (x,y) coordinates. The vertical axis is the y axis. If your point is "one unit up" its y-value is 1. (The horizontal axis is the x-axis. The x-value is 6.)
Cody Ray's credit card company uses the unpaid-balance method and charges a monthly periodic rate of
1.8%. His finance charge was $17.54, he made $376.90 in new charges and a $250 payment.
Based on Cody Ray's credit card details and the unpaid-balance method, Cody Ray's unpaid balance is $144.44 and his previous balance is $144.44. His new balance is $147.04
What are Cody Ray's balances?His unpaid balance is:
= Purchases + Finance charge - (Payments + Credit)
= 376.90 + 17.54 - 250
= $144.44
Previous balance is the $17.54 finance charges.
New balance:
= Unpaid balance + Finance charge + New Purchases
= 144.44 + (144.44 x 1.8%)
= $147.04
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What is the median of this data set?
22, 37, 49, 15, 12
Answer:
the answer is 22
Step-by-step explanation:
12,15,22,37,49
since 22 is in the middle its the median (make sure you put the #'s from least to greatest)
Answer:
22
Step-by-step explanation:
22, 37, 49, 15, 12
First put the data set from least to greatest.
12, 15, 22, 37, 49
The median is the middle number of the data. In this case, the median is 22.
Hope this helps!
x+y = 8 and 2x-y=7
Anyone can help
Step-by-step explanation:
x=8-y
2x-y=7
2(8-y)-y=7
16-2y-y=7
-3y=-9
y=3
x=8-y
x=8-3=5
Answer:
Hello
Step-by-step explanation:
Méthode par combinaisons linéaires:
[tex]\left\{ \begin{array}{ccc|c|c}x+y&=&8&1&-2\\2x-y&=&7&1&1\\\end {array} \right.\\\\\\\left\{ \begin{array}{ccc}3x&=&15\\-3y&=&-9\\\end {array} \right.\\\\\\\boxed{\left\{ \begin{array}{ccc}x&=&5\\y&=&3\\\end {array} \right. }\\[/tex]
Proof:
5+3=8 and 2*5-3=7
The triangles are similar. Find the value of the variable.
Subtract the matrices. What number fills in ?
The missing number for the subtraction of matrices is 4.
How to subtract the matrices?
The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:
[tex]A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right][/tex]
Then the missing therm will just be equal to the difference between the last two elements of each matrix:
-2 - (-6) = -2 + 6 = 4
The missing number is 4.
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math related!!!!! Pls help look at pic >>>>>
1. A circle has a radius of 12 in. Find:
The diameter of the circle.
The circumference of the circle.
The area of the circle.
2. A circle has a radius of 4.4 cm. Find:
The diameter of the circle.
The circumference of the circle.
The area of the circle.
3. A circle has a diameter of 60 m. Find:
The radius of the circle.
The circumference of the circle.
The area of the circle.
4. A circle has a diameter of 1.8 km. Find:
The radius of the circle.
The circumference of the circle.
The area of the circle.
Answer:
1.
a.) 24in
b.)75.36in
c.)452.16in
Step-by-step explanation:
1a. The radius is half of the diameter, so all you have to do is add 12 + 12 which is 24.
1b. the circumfrence of a circle is C (Circumfrence)=[tex]2\pi r[/tex] so replace radius for 12 and then do 3.14(pi) x 2 which will get you 6.28 times 6.28 by 12 and you will get 75.36.
1c. Area=[tex]\pi r^{2}[/tex] so first do the radius by the second power, or [tex]r * r[/tex], susitute r for 12 and you will get 144, times 144 by pi and you will get 452.16in
Sorry I could not answer every question but hope this helps!
What is it the same of?
Answer:
C. [tex]\frac{1}{4}[/tex]× [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
When you convert a fraction division into multiplication, you convert the divisor into its reciprocal. The reciprocal of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex]. So you get your answer [tex]\frac{1}{4}[/tex]× [tex]\frac{7}{2}[/tex].
N a carton of a dozen eggs of which four are cracked, how many ways could you select 3 cracked and 2 good if you randomly select 5 eggs
The number of ways we can select 3 cracked and 2 good is 1200 ways.
Given there are 5 eggs in which 3 eggs are cracked and 2 eggs which are good.
We have to find the number of ways we can select 3 cracked and 2 good eggs from 5 eggs.
Number of ways can be found through permutations.
The factorial of n equals the product of n with the smaller factorial..
Permutations is the technique of calculating various ways in which objects from a set may be selected, generally without replacement, to form subsets.
n[tex]P_{r}[/tex]=n!/(n-r)!
So the number of ways will be 5[tex]P_{3}[/tex]*5[tex]P_{2}[/tex]
([tex]5P_{3}[/tex] for cracked eggs and [tex]5C_{2}[/tex] for good eggs)
=5!/(5-3)!*51/(5-2)!
=5*4*3*2!/2!*5*4*3!/3!
=5*4*3*5*4
=1200
Hence there are 1200 ways through which 3 cracked and 2 good eggs can be selected from 5 eggs.
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Does this graph represent a function? What is the domain and range of the graph? On a coordinate plane, a line goes through (negative 2, 2) to (0, 0) and another line goes from (0, 0) through (2, 2).
a. Yes; domain: all real numbers; range: y = 0
b. Yes; domain: all real numbers; range: y greater-than-or-equal-to 0
c. No; domain: all whole numbers; range: y less-than-or-equal-to 0
d. Yes; domain: all real numbers; range: y greater-than 0
The domain and the range of the function are given as follows:
b. Yes; domain: all re.al numbers; range: y greater-than-or-equal-to 0.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.Since each input is related to only one output values, the graph is a function. It is defined for all values of x, assuming only non-negative values, hence the correct option is:
b. Yes; domain: all re.al numbers; range: y greater-than-or-equal-to 0.
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10 points please help me and i will mark brainlyist
Answer:
Min: 32
Lower Quartile: 36
Median: 42
Upper Quartile: 47
Max: 53
Interquartile: 11
Step-by-step explanation:
The min. is just the lowest number. The lower quartile is the number in the middle of the numbers below 42, the median is the number in the very middle, the upper quartile is the middle number above 41 and the interquartile is the upper quartile minus the lower quartile.
A simple main effect analysis examines: relationships between independent and dependent variables. the overall effect of the interaction. the overall effect of one independent variable. mean differences at each level of the independent variable.
A simple main effect analysis looks at the mean difference at each level of the independent variable.
Given With a simple main effect, the analysis examines.
Simple effects are also called the main effects of design of experiments. The main effect can be defined as the effect of the explanatory variables measured on a particular criterion or response variable of the study. It's easy to say that what happens within the level of the explanatory variables is the difference. In a factorial experiment, the simple main effect is that one independent variable is at a specified level of another. The main effect of one independent variable is averaged across the levels of the other independent variable. For a simple main effect, the results are analyzed as if a separate experiment was performed at each level of the other independent variables.
Therefore, a simple main effect analysis looks at the mean difference at each level of the independent variable.
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W
Mark this and return
X
What is the value of a?
O 5 units
05
units
O 6 units
O 7 units
Save and Exit
Submit
Answer:jio
Step-by-step explanation:
Area=
Help me please :(
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "area and graphs." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
Tom has x bags of apples. he buys 8 times more and sells 12. write the amount he has left as an algebraic expression:
Answer:
Step-by-step explanation:
x times 8 +12
8x+x=9x-12
Answer = 9x-12
Which of the following is equivalent to 5 squareroot of 13 3
The exponential form of ⁵√13³ is [tex]13^{3/5}[/tex].
Hence, option D) is the correct answer.
This question is incomplete, the complete question is:
Which of the following is equivalent to 5 sqrt 13³ ?.
A) 13^2.
B)13^15.
C)13^(5/3).
D)13^(3/5)
What is equivalent to 5 sqrt 13³ ?Given the expression; 5 sqrt 13³
This can be represented as; ⁵√13³
To convert from radical form to exponential form, we use apply the radical rule;
[tex]\sqrt[n]{a^m} = a^{m/n}[/tex]
Hence,
[tex]\sqrt[5]{13^3} = 13^{3/5}[/tex]
The exponential form of ⁵√13³ is [tex]13^{3/5}[/tex].
Hence, option D) is the correct answer.
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Ethan donated 20% of his savings for charity. if the amount he donated was $920, then find his savings.
Total Saving of Ethan is = $4600
Saving after donating 20% = $4600-$920
=$3680
What is Percentage ?
As a fraction of 100, a percentage is a number or ratio. Although the abbreviations "pct.", and occasionally "pc" are also used, the percent sign ("percent") is frequently used to indicate it. A % has no dimensions and no associated unit of measurement.
How to calculate percentage?
Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. The formula for percentage calculation is (value/total value)100%
Solution :
Let the Saving be 100%
Donated salary 20% = $920
finding 80% of the saving
Formula for percentage:
[tex]\frac{value}{total value} *100[/tex]
=[tex]\frac{20}{100} *920[/tex]
= [tex]5*920[/tex]
= [tex]4600[/tex]
Then the Total saving =$4600
The Total saving after donating 20% = $3680
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A 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 3 feet from the wall
Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.
Pythagoras theorem, [tex]x^{2} + y^{2} = (12)^{2}[/tex] --->(1)
Given,[tex]\frac{dx}{dt}= 2feet/second[/tex] at x=3
Put x=3 in Pythagoras theorem equation (1)
[tex](3)^{2} + y^{2} = 144[/tex]
[tex]y^{2} = 144 - 9[/tex]
[tex]y^{2}[/tex] = 135
y = 11.61
Derive equation (1) w.r.t to 't'
[tex]2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0[/tex] ---->(2)
substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall
[tex]2(3)(2) + 2 (11.61)\frac{dy}{dt} = 0[/tex]
12 + 23.22 [tex]\frac{dy}{dt}[/tex] = 0
[tex]\frac{dy}{dt}= \frac{-12}{23.22}[/tex]
[tex]\frac{dy}{dt} = -0.518[/tex]
Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
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40 points and I will choose brainlyist
below is the question.
Using proportions, the expected number of adults in Palm City whose main source of news is the internet or newspaper is of 19,413.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From the table, the proportion of adults in Palm City whose main source of news is the internet or newspaper is found as follows:
p = (62 + 88)/(62 + 88 + 128 +24 + 38) = 0.4412.
Hence, out of 44,000 adults, the expected number is found as follows:
0.4412 x 44000 = 19,413.
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Some bacteria double in every hour. if there were 2 bacteria in the beginning, how many bacteria will be there after 6 hours? how many bacteria will be there after 24 hours?
Using an exponential function, it is found that:
After 6 hours, there will be 256 bacteria.After 24 hours, there will be 33,554,432 bacteria.What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the growth rate.The parameters for this problem are given as follows:
a = 2, b = 2.
Hence the number of bacteria after x hours is given by:
[tex]y = 2(2)^x[/tex]
After 6 hours, the amount is:
[tex]y = 2(2)^6 = 2^7 = 128[/tex]
After 24 hours, the amount is:
[tex]y = 2(2)^{24} = 2^{25} = 33554432[/tex]
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Y=5-2x 4x+2y=10 please help me
Answer:
Infinite solutions.
Step-by-step explanation:
y = 5 - 2x
2x + y = 5 ---------(I)
a₁ = 2 ; b₁ = 1 and c = 5
4x + 2y = 10
a₂ = 4 ; b₂ = 2 and c₂ = 10
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{2}{4}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2}=\dfrac{5}{10}=\dfrac{1}{2}[/tex]
⇒ [tex]\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=\dfrac{1}{2}[/tex]
So, the line are coincident and has infinite solutions.
Wen Sam got a puppy from the shelter, it weighed 20.5Ibs. The puppy gain%30 of its original weight in the first month that Sam had him. How much did the puppy weight after the first month?
The weight of the puppy after the first month as described is; 26.65lbs.
What is the weight of the puppy?Since, it follows from the task content that the initial weight of the puppy is; 20.5lbs and it gained 30% of this after 1 month, it follows that the weight of the puppy after one month is;
Weight = 20.5lbs × 130% = 26.65lbs.
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Find the sum.
10+12+14+...+78
Answer:
1540
Step-by-step explanation:
This is an arithmetic progression.
a = first term = 10
Common difference = d = second term - first term
= 12 - 10
d = 2
Last term = l = 78
First we have to find how many terms are there in the sequence using the formula: l = a + (n-1)*d
78 = 10 + (n -1) * 2
78 -10 = (n -1)*2
68 = (n -1) *2
68 ÷2 = n -1
34 = n - 1
34 + 1 = n
n = 35
There are 35 terms.
[tex]\sf \boxed{\test{\bf Sum = $\dfrac{n}{2}(a +l)$}}[/tex][tex]\sf \boxed{\text{\bf Sum =$\dfrac{n}{2}(a+l) $}}[/tex]
[tex]\sf =\dfrac{35}{2}(10+78)\\\\ =\dfrac{35}{2}*88\\\\ = 35 * 44\\\\= 1540[/tex]
Step-by-step explanation:
This is an arithmetic progression.
a = first term = 10
Common difference = d = second term - first term
= 12 - 10
d = 2
Last term = l = 78
First we have to find how many terms are there in the sequence using the formula: l = a + (n-1)*d
78 = 10 + (n -1) * 2
78 -10 = (n -1)*2
68 = (n -1) *2
68 ÷2 = n -1
34 = n - 1
34 + 1 = n
n = 35
There are 35 terms.
\sf \boxed{\test{\bf Sum = $\dfrac{n}{2}(a +l)$}} \sf \boxed{\text{\bf Sum =$\dfrac{n}{2}(a+l) $}}
Sum =
2
n
(a+l)
\begin{gathered}\sf =\dfrac{35}{2}(10+78)\\\\ =\dfrac{35}{2}*88\\\\ = 35 * 44\\\\= 1540\end{gathered}
=
2
35
(10+78)
=
2
35
∗88
=35∗44
=1540
Please help!
I don't understand part B.
The median value of x is 2.
According to the statement
we have given the values of x at some points then
and we have to find the median for the x.
We know that the median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.
and after put the values in this formula we get our median value for x.
So,
we have given that the f(x) is 0.2 when x is from -1 to 0
and f(x) is 0.2 +1.2x when x is grater than 0 but less than 1
and f(x) is 0 when x is less than -1 or grater than 1
From these statements it is clear that the the f(x) is only exist when the x lies in between from the -1 to 1.
So, the total value of x becomes is -1,0,1
Then according to the median formula
median = (n + 1) ÷ 2
median = (3+1) / 2
median = 2.
So, The median value of x is 2.
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Solve for x please anyone?
Answer: x=11
Step-by-step explanation:
The lines are parallel, which you can tell by the two arrows. 4x-8 is a corresponding angle to 3x+3, meaning they are congruent.
4x-8 = 3x+3
x=11
Answer:
x = 11
Step-by-step explanation:
these angles are corresponding angles so they are equal to each other.
4x - 8 = 3x + 3 Subtract 2x from both sides
x - 8 = 3 Add 8 to both sides
x = 11
Plug 11 back into the equations find the angle measurements
4(11) -8 = 36 degrees
3(11) + 3 = 36degrees