[A] 23w + 35 = 150 ; Sal will have enough money in 5 weeks.
We can see 35 as the starting value since he already has that amount when he started saving up money. We can subtract it (150 - 35 = 115). Then we can divide (115 / 23 = 5). It took Sal 5 weeks to save enough money for the bike. The first option makes the most sense because the expression can be solve to find how many weeks he save up his money.
_______
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There are 33.8 fluid ounces in a liter There are 128 fluid ounces in a gallon about how many liters are in a gallon?
Answer:
Approximately 4, exactly 3.786 liters.
Step-by-step explanation:
128/33.8=3.786
There are approximately 3.8 litres in a gallon.
There are 33.8 fluid ounces in a litre. Therefore,
33.8 fluid ounces = 1 litre
128 fluid ounces = ? litre
cross multiply
amount = 128 / 33.8
amount = 3.78698224852
amount ≈ 3.8 litres
There are 128 fluid ounces in a gallon. Therefore,
128 fluid ounces = 1 gallon
Since, 128 fluid ounces = 3.8 litre
Therefore,
Approximately 3.8 litres are in a gallon
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what is 13.65 rounded to the nearest whole number
Answer:
14
Step-by-step explanation:
13.65 is rounded to 14
Answer:
14
Step-by-step explanation:
since your looking for the nearest whole number the first number behind the decimal is what determines if it goes to 14 or 13. because the number is 6 and is higher than 5 the number would be 14 but if the number was 4 than it would be 13. any number above 5 goes and 4 and below makes the number go down.
(x2 - 4x + 3) + (3x2 – 3x - 5)
What’s the difference in standard form?
Answer:
the different is 96 * 56
Step-by-step explanation:
for example
4555/69 ///////54
Answer: (x-2)•(4x+1)
Step-by-step explanation:
you run 10 miles in 1 hour and 15 mintues keeping the same pance how long would it take to run 15miles
Answer:
1 hour and 30 minutes
Step-by-step explanation:
because it took an hour for 10 mile so add another five miles and it would take 30 minutes
Answer:
it would take you 1 hour and 30 mins
Step-by-step explanation:
it would be that because 1 hour is 60 mins and it takes you 60 mins to run 1 mile add half a mil and then it would be 1 hr 30
The product of 8, and a number increased by 6, is 104. What is the number?
Answer:
Step-by-step explanation:
Its 56/8 or 7
The value of the number is 7 . There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is meant by equation?Two expressions joined by the equals symbol ("=") form an equation. [2] The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero. Providing the generality is not diminished, this can be achieved by deducting the right-hand side from both sides.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Given ,
product =8
increased number =6
8(x+6)=104
8x+48= 104
8x = 104 - 48 =56
x = 56/8
= 7
Therefore The value of the number is 7.
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Solve the linear inequality: −(8x−9)\3+6≥9
Answer:
Step-by-step explanation:
-(8x-9)/3 +6>=9
-(8x -9)/3 +18>=27
-8x +9 +18 >=27
-8x >= 27-9-18
-8x >=0
x>=0
Will make brainliest
2. What elevation is Point E on Map 1? *
10 feet
30 feet
50 feet
70 feet
3. What elevation is Point F on Map 1? *
10 feet
30 feet
50 feet
70 feet
Answer:
2. 30 ft
3. 50 ft.
Step-by-step explanation:
2. The contour map of a place is shown in the diagram.
The point E is placed near to the 30 ft contour line.
Therefore, the elevation of the point E on the map is 30 ft. (Answer)
3. From the same contour map shown in the diagram, it is clear that,
The point F is placed near to the 50 ft contour line.
Therefore, the elevation of the point F on the map is 50 ft. (Answer)
Han and Tyler are following a polenta that uses 5 cups of water for every 2 cups of cornmeal
— Han says “I am using 3 cups of water. I will need 1 1/5 cups of cornmeal.”
— Tyler says, “ I am using 3 cups of cornmeal. I will need 7 1/2 cups of water.”
The ratio of Han's measurements and Tyler's measurements corresponds with polenta measurement
Given:
Polenta:
Cups of water = 5
Cornmeal = 2
Ratio of cups of water to cornmeal = 5 : 2
= 5/2
= 2.5
Han:
Cups of water = 3
Cornmeal = 1 1/5
= 6/5
Ratio of cups of water to cornmeal = 3 : 6/5
= 3 ÷ 6/5
= 3 × 5/6
= 15/6
= 2.5
Tyler:
Cups of water = 7 1/2
= 15/2
Cornmeal = 3
Ratio of cups of water to cornmeal = 15/2 : 3
= 15/2 × 1/3
= 15/6
= 2.5
Therefore, the ratio of Han's measurements and Tyler's measurements corresponds with polenta measurement.
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Final answer:
The question involves mathematical ratios to determine the correct proportions for a polenta recipe. By setting up proper proportions, we confirm that Han's and Tyler's calculations for the amount of cornmeal and water needed are correct.
Explanation:
The question discusses proportions used in a recipe which relates to mathematical ratios. Han and Tyler are trying to determine how much cornmeal and water they need for polenta based on a recipe that calls for a specific ratio of these ingredients. To solve this, we must set up a proportion that maintains the constant ratio given by the recipe.
For Han's statement, since the recipe calls for 5 cups of water for every 2 cups of cornmeal, we can set up the following proportion:
5 cups water / 2 cups cornmeal = 3 cups water / x cups cornmeal
Multiply across the equal fractions (5 * x = 2 * 3)
x = 6/5 or 1.2 cups cornmeal, which confirms Han's statement as correct.
For Tyler's statement, using the same ratio:
2 cups cornmeal / 5 cups water = 3 cups cornmeal / x cups water
Multiply across the equal fractions (5 * 3 = 2 * x)
x = 15/2 or 7.5 cups water, which confirms Tyler's statement as correct as well.
D= 1/5fk solve for k
Answer:K=5D/f
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Need help with geometric sequences quick
30 points!!!!!!!!
Answer:
Step-by-step explanation:
nuity for Stude...
The improper fraction 19 is equal to
10.
The improper fraction 19/10 is equal to
Answer:
9/10
Step-by-step explanation:
Final answer:
The improper fraction [tex]\frac{19}{10}[/tex] is equal to the mixed number [tex]1\frac{9}{10}[/tex], where 1 is the whole number and [tex]\frac{9}{10}[/tex] is the proper fraction remainder after division.
Explanation:
The improper fraction [tex]\frac{19}{10}[/tex] can be converted into a mixed number by dividing the numerator by the denominator. The division [tex]\frac{19}{10}[/tex] equals 1 with a remainder of 9. Therefore, the mixed number is [tex]1\frac{9}{10}[/tex]. This illustrates that any improper fraction can be expressed as a combination of a whole number and a proper fraction, where the numerator is smaller than the denominator.
Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account
and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of
money in Victoria's account at the end of the nth year?
a, - 1.02( a -1 +15), aq - 215
an - 15+1.02a -1, 2, - 215
2,- 1.02(an-1 +15); a, - 200
an = 15+1.02am-11 an - 200
Answer:
The amount of money in Victoria's account at the end of n-th year will be,
$ [tex] (965 \times (1.02)^{(n -1)} - 765)[/tex]
Step-by-step explanation:
The amount of money in Victoria's account at the end of n-th year will be,
$ [tex](200\times (1.02)^{(n-1)} + 15 \times ((1.02)^{(n-1)} + (1.02)^{(n -2)} + (1.02)^{(n-3)} + ........ + (1.02)))[/tex]
= $ [tex](200 \times (1.02)^{(n -1)} + 15 \times \frac{1.02 \times ((1.02)^{(n-1)} - 1)}{0.02})[/tex]
= $ [tex](200 \times (1.02)^{(n -1)} + 15 \times 51 \times ((1.02)^{(n-1)} - 1))[/tex]
= $ [tex] (965 \times (1.02)^{(n -1)} - 765)[/tex]
Since, the interest is compounded over that $ 200 (which was there in the account at the end of 1st year) for (n-1) years and for (n-1) years, (n-2) years, (n -3) years, ...... 1 year respectively over those $ 15 which are deposited in the account at the end of 1 , 2, 3, ...... (n-1) years.
Answer:
[tex]a_{n}=\left [ a\left ( n-1 \right )+15 \right ]*1.02\\[/tex]
Step-by-step explanation:
1) A Recursive formula always makes reference to the previous term, written as a function.
2) From $200 to $215 there was a 7.5% growth, so since the question states that from the beginning of the second year there will be a regular growth.
3) Since it is 2% of interest compounded annually q=1+ 0.02.
[tex]A=215(1+\frac{0.02}{1})^{1}\\A=219.3[/tex]
Or simply
215*1.02=219.3
4) We can write a Recursive formula this way:
[tex]a(n)=215[/tex]
[tex]a(n)=a(n-1)(1.02)[/tex]
5) But since we have a pattern, She will deposit $15 yearly then we must make a little adjustment then add $15. to that. Considering the first term to be 200
[tex]a_{n}=\left [ a\left ( n-1 \right )+15 \right ]*1.02\\a_{1}=200[/tex]
Michael is
12
1212 years older than Brandon. Seventeen years ago, Michael was
4
44 times as old as Brandon.
How old is Michael now?
Answer:
The present age of Michael is 33 years .
Step-by-step explanation:
Given as :
Michael is 17 years older than Brandon
And 17 years ago the age of Michael was 4 times as old as Brandon
Now,
Let the age of Michael = M years
And The age of Brandon = B years
So , According to question
M = B + 12 .........A
And ( M - 17 ) = 4 × ( B - 17 )
Or, M - 17 = 4 B - 68
Or, 4 B - M = 68 - 17
or, 4 B - M = 51 ...........B
Solving Eq A and B
I.e 4 B - ( B + 12 )= 51
or, 4 B - B = 51 + 12
or, 3 B = 63
∴ B = [tex]\frac{63}{3}[/tex]
I.e B = 21 years
So, Now the age of Brandon = B = 21 years
Put the value of B in eq A
So, M = B + 12
∴ M = 21 + 12
I.e M = 33 years
So, Now the age of Michael = M = 33 years
Hence The present age of Michael is 33 years . Answer
1)
Find the explicit formula that defines the sequenc
Consider the sequences
6,810,-)
2)
Find the 130th term of the sequence
A
202
D
262
Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
[tex]a_{n}[/tex] = 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
[tex]a_{130}[/tex] = (2 × 130) + 4 = 260 + 4 = 264
Eeeeee I’m so confused, i is needs help
Answer:
The needed quadratic equation is : [tex]p(x) = x^2 -3x + 10[/tex]
Step-by-step explanation:
The given equation is of the form [tex]p(x) = ax^2 + bx + c[/tex]
The given solutions of the equations are:
x = 3 +i, x = 3 - i
Now, if x = a is the zero of the polynomial p(x)
⇒(x -a ) is the root of the given polynomial.
⇒ (x - ( 3+i)) and (x - ( 3+i)) are the given roots for p(x)
P(X) = PRODUCT OF ALL ROOTS
⇒ p(x) = (x - ( 3+i))(x - ( 3-i)) = ( x-3 -i)(x -3+i)
Now, [tex](a-b)(a +b) = a^2 - b^2\\\implies ( (x-3)-i)((x-3)+i) = (x-3)^2 - (i)^2 = x^2 +9 - 3x -(-1)\\= x^2 +10 - 3x\\\implies p(x) = x^2- 3x + 10[/tex]
Hence, the needed quadratic equation is : [tex]p(x) = x^2 -3x + 10[/tex]
John began the week with -21
dollars in his bank account. He
deposited, d, dollars in the account
and now has $789. How much did
John deposit?
Answer:
810
Step-by-step explanation:
-21 + d = 789
d = 789+21
d= 810
can someone please help me?
What is half of one-third?
Answer:
1/6
Step-by-step explanation:
1/2*1/3
1*1/2*3
1/6
Answer:
1/6
Step-by-step explanation:
1/3*1/2 = 1/6
1/3 = 0.33333333 = 3/9 =1/3
1/6 = 0.1666666 = 15/90=1/6
Mr. Rodriguez used a random sample of 20 students from each grade at Willowbrook School to determine their favorite types of reading material. He made a graph of the results. What can he infer from the results?
Overall, students are less interested in reading magazines than comics.
Students are less interested in reading comics than magazines.
Students prefer magazines to books.
7th-grade students prefer books.
Answer:
A- Overall, students are less interested in reading magazines than comics.
Answer:
Option A
Step-by-step explanation:
Can someone check on this problem if I did it right this problem is about law of cosines just look at #1
Answer:
x = 5.57
Step-by-step explanation:
c² = a² + b² − 2ab cos C
x² = 10² + 6² − 2(10)(6) cos 29°
x = 5.57
Your answer and steps are correct.
Which expression is equivalent to the given expression?
5x -2
o. 2-5x
o. 3 - 5 +2x
o. 5x - 2x
o. 2x - 2 + 3x
Answer:
Step-by-step explanation:
D.
Brian went shopping and spent $47 on jewelry. If he spent $67 total, what percentage did he spend on jewelry? Round your answer to the nearest percent.
Brian spent 70% of his money on jewelry.
Step-by-step explanation:
Given,
Amount spent on jewelry = $47
Total amount spent = $67
Percentage of jewelry = [tex]\frac{amount\ spent\ on\ jewelry}{total\amount\ spent}*100[/tex]
[tex]Percentage\ of\ jewelry=\frac{47}{67}*100\\\\ Percentage\ of\ jewelry=\frac{4700}{67}\\Percentage\ of\ jewelry= 70.14\%[/tex]
Rounding to nearest whole number.
Percentage of jewelry = 70%
Brian spent 70% of his money on jewelry.
Keywords: percentage, division
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7x-3y = 10
-3x-8y= 5
4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cube
whose volume is 1080 cm3? Show all your work.
Answer:
The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.
Step-by-step explanation:
Given that volume of larger cube is 1080[tex]cm^{3}[/tex]
To find number of smaller cube with volume as whole numbers can fit the larger cube:
Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume
In the same way,
Assuming one edge has 'x' number of cube with volume as whole numbers
Since, It is cube. Number of cube in other edges will be 'x' too
For smaller cube,
Take one side of smaller cube as x
Therefore, One side of larger cube will be nx
For cube, length = height = breath =nx
The volume of larger cube : [tex](nx)^{3} =1080[/tex]
nx=10.2598cm
we need to find the "largest" number of cube( i.e n )
Therefore, Side x will be smallest and n will be largest.
For smallest value of x,
It is also said that " volumes are whole numbers "
smallest whole number is 1
Thus,
nx=10.2598cm
n=10.2598
n is also whole number so that n=10
The largest number of identical cubes whose volumes are whole numbers that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.
radians. Covert this radian measure to its equivalent degree measure 135° 180° 270° 360°
Because of the answers that you gave I'm going to assume the radians were 3pi/4. That would be A, 135 degrees.
If this is the wrong amount of radians please let me know.
The radian measures of the given degree measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π
What is radian measures?One radian is the measure of a central angle subtended by an arc that is equal in length to the radius of the circle. When no symbol is used, radians are assumed. When degrees are the unit of angular measure, the symbol "°" is written. Note that the radian is a derived unit in the International System of Units (SI).
Given are some degree measurements, 135° 180° 270° 360°, we need to convert them into radians.
Since, we know that,
1 Rad = 1 Deg × π / 180
Therefore,
1) 135° = 135 × π / 180
= 3π / 4 Rad
2) 180° = 180 × π / 180
= π Rad
3) 270° = 270 × π / 180
= 3π / 2 Rad
4) 360° = 360 × π / 180
= 2π
Hence, the radian measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π
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Round 67,492,384 to the nearest million
The next higher million is 68 million.
The next lower million is 67 million.
67,492,384 is closer to 67 million than to 68 million.
So the nearest million is 67,000,000 .
To round 67,492,384 to the nearest million, round the millions place up by 1 because the digit to its right is 7.
To round 67,492,384 to the nearest million, we need to consider the digits in the millions place and the digit to its right. In this case, the digit in the millions place is 6, and the digit to its right is 7. Since 7 is greater than or equal to 5, we round the millions place up by 1. Therefore, 67,492,384 rounded to the nearest million is 68,000,000.
View Lab
Parallelogram ABCD has vertices at A(-1,3), B(8,3), C(3.-2), and D(-6.- 2). The slope of BC is 1, and since AD is parallel to
BC, its slope is the same. Which of the following point-slope equations is the line containing AD?
A y -1= x-3
B. y-1=x+3
C. y-2=x-6
D. y+2 = x+6
Answer:
the answer is D
Step-by-step explanation:
i did it on EDG
100 Points!!! Hurry Which statements are true about the ordered pair
(−4, 0)
and the system of equations?
{
2x+y=−8
x−y=−4
Select each correct answer.
The ordered pair
(−4, 0)
is a solution to the first equation because it makes the first equation true.
The ordered pair
(−4, 0)
is a solution to the second equation because it makes the second equation true.
The ordered pair
(−4, 0)
is not a solution to the system because it makes at least one of the equations false.
The ordered pair
(−4, 0)
is a solution to the system because it makes both equations true.
Answer:
The ordered pair
(−4, 0)
is a solution to the system because it makes both equations true.
The ordered pair
(−4, 0)
is a solution to the first equation because it makes the first equation true.
The ordered pair
(−4, 0)
is a solution to the second equation because it makes the second equation true.
Step-by-step explanation:
A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)
Answer:
The aquarium can be made by 83 sq. ft. of glass.
Step-by-step explanation:
The public library aquarium is in the shape of a hollow cuboid.
The dimensions of the hollow cuboid are 6 ft by 2.5 ft. by 4 ft.
Now, the total surface area of the aquarium will be given by 2(LW + WH + HL)
Where, L = length = 6 ft, W = width = 2.5 ft and H = height = 4 ft.
If the top of the aquarium is open, then the total surface area will be
= 2(WH + HL) + LW
= 2(2.5 × 4 + 4 × 6) + 6 × 2.5
= 83 sq. ft.
Therefore, the aquarium can be made by 83 sq. ft. of glass. (Answer)
To calculate the square feet of glass used for the aquarium, we find the total surface area of the rectangular prism excluding the top. The total surface area is 83 square feet.
To find out how many square feet of glass were used to build the aquarium, we need to calculate the surface area of the rectangular prism minus the top since it is open.
The surface area of a rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
Given the dimensions of the aquarium:
Length (l) = 6 feetWidth (w) = 2.5 feetHeight (h) = 4 feetFirst, we calculate the areas of the sides:
2lw = 2 * 6 * 2.5 = 30 square feet2lh = 2 * 6 * 4 = 48 square feet2wh = 2 * 2.5 * 4 = 20 square feetTotal surface area excluding the top is:
Total Surface Area = 2lw + 2lh + 2wh - (length * width)
Total Surface Area = 30 + 48 + 20 - (6 * 2.5) = 98 - 15 = 83 square feet
So, 83 square feet of glass were used to build the aquarium.
What percent represents the part of the model shaded green
A) 60%
B) 62.5%
C) 66.7%
D) 75%
Answer:
joe mama
Step-by-step explanation:
joemama