The unknown number is -8.
Define fractionA fraction is an expression representing a subset of a whole. The numerator and the denominator, which are separated by a horizontal line, are expressed as a ratio. The denominator is the total number of equally sized components that make up the whole, whereas the numerator is the number of parts that are being taken into account.
Call the unidentified number "x" for now. The following equation may then be created from the provided sentence:
3(x + 4) = (1/2)x - 8
Now, we can solve for x by simplifying and rearranging the equation:
3x + 12 = (1/2)x - 8
dividing both sides by two to get rid of the fraction
6x + 24 = x - 16
Subtracting x from both sides:
5x + 24 = -16
Subtracting 24 from both sides:
5x = -40
Dividing both sides by 5:
x = -8
Therefore, the unknown number is -8.
To know more about denominator, visit:
https://brainly.com/question/7067665
#SPJ1
the complete question is:
Three times the sum of a number and 4 is 8 less than one-half the number. What is the number?
A colored pencil is a wood hexagonal prism with a column of colored lead running through its center. The typical length of the usable lead is 19 centimeters, and the lead core has a diameter of 3 millimeters. A cross section of the pencil has an area of 89.25 square millimeters. What percentage of a colored pencil is wood?
Answer:
i guess 97 %
Step-by-step explanation: see fist of all
most colour pencils ARE made of wood so yeah sorry dont know im still in 6th
Here is a recipe for $$ cupcakes. • Terrance has $$ cup of flour and $$ eggs. • Duri has $$ cups of flour and $$ grams of butter. • Habib has $$ cups of milk and $$ cups of sugar. • Anika has $$ cup of sugar and $$ cups of milk. If each person has enough of all the other ingredients, how many cupcakes could they make on their own?
Duri can make 72 cupcakes on his own and Habib can make 36 cupcakes on her own, assuming they have enough of all the other ingredients.
To determine how many cupcakes each person can make on their own, we need to check if they have enough of all the other ingredients required to make 12 cupcakes.
Terrance has 1 cup of flour and 6 eggs, which is not enough to make 12 cupcakes.
Duri has 12 cups of flour and 1000 grams of butter, which is more than enough to make 12 cupcakes. However, the recipe requires 3/4 cup of sugar, 2 eggs, and 3/4 cup of milk, which we do not know if Duri has enough of.
Habib has 3 cups of milk and 6 cups of sugar, which is enough to make 12 cupcakes.
Anika has 1 cup of sugar and 4 cups of milk, which is not enough to make 12 cupcakes.
Therefore, only Duri and Habib have enough ingredients to make 12 cupcakes on their own.
To determine how many cupcakes they can make, we need to calculate how much of each ingredient is required for one cupcake and then divide the available ingredients by that amount.
For one cupcake, we need:
1/6 cups of flour
1/16 cup of sugar
1/6 eggs
1/16 cups of milk
125/12 grams of butter
Duri has 12 cups of flour and 1000 grams of butter, which is enough to make 72 cupcakes. Habib has 6 cups of sugar and 3 cups of milk, which is enough to make 36 cupcakes.
To learn more about quantity click on,
https://brainly.com/question/28909355
#SPJ4
Subtract the sum of -52 and - 638 from the sum of - 29 and 303 the value is
The solution of the expression is 964.
To start solving this problem, let's find the sum of -29 and 303. The sum of two numbers is the result when you add them together. So,
-29 + 303 = 274
The sum of -29 and 303 is 274.
Now, let's find the sum of -52 and -638. To add two negative numbers, you just add their absolute values and put a negative sign in front of the result. So,
-52 + (-638) = -690
The sum of -52 and -638 is -690.
Finally, the problem asks us to subtract the sum of -52 and -638 from the sum of -29 and 303. To subtract one sum from another, we just subtract the second sum from the first. So,
( -29 + 303 ) - ( -52 + -638 )
We can simplify the expression by rearranging the terms:
274 - (-690)
When we subtract a negative number, it's the same as adding its absolute value. So,
274 + 690 = 964
To know more about sum here
https://brainly.com/question/4196546
#SPJ4
Steven read that the actual distance between Memphis and Chicago is about 525 miles. On a map, the distance between the two cities is about 10 inches. Which is most likely the scale used to make the map?
Answer:About 1,012 Inches
Step-by-step explanation:
Factor.
z squared+18z–19
(z - or + ?)(z- or + ?)
Answer:
(z - 1) (z + 19)
Step-by-step explanation:
z² + 18z - 19
Consider the form x² + bx + c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is −19 and whose sum is 18.
-1, 19
Write the factored form using these integers.
(z - 1) (z + 19)
cara computes the mean and variance for the set 87, 46, 90, 78, and 89. she finds the mean to be 78. her steps for finding the variance are shown below. what is the first error cara made in computing the variance?
If Cara's calculation of the sum of the squared differences i.e. 1370 from the mean is incorrect, that would be the first error she made in computing the variance.
As the steps for finding the variance are not provided, it is difficult to determine the first error Cara made.
However, the formula for calculating the variance is:
Variance = (sum of the squared differences from the mean) / (number of observations)
The first error Cara may have made is in calculating the sum of the squared differences from the mean.
The correct steps to find the variance are:
Find the mean:
Mean = (87 + 46 + 90 + 78 + 89) / 5 = 78
Calculate the differences from the mean for each observation:
87 - 78 = 9
46 - 78 = -32
90 - 78 = 12
78 - 78 = 0
89 - 78 = 11
Square each difference:
[tex]9^2 = 81[/tex]
[tex](-32)^2 = 1024[/tex]
[tex]12^2 = 144[/tex]
[tex]0^2 = 0[/tex]
[tex]11^2 = 121[/tex]
Find the sum of the squared differences:
81 + 1024 + 144 + 0 + 121 = 1370
Divide the sum of squared differences by the number of observations:
Variance = 1370 / 5 = 274.
For similar question on variance.
https://brainly.com/question/15858152
#SPJ11
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red. Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow. Determine the theoretical probability of the spinner not landing on red, P. 0.125 0.250 0.675 0.875
The theoretical probability of the spinner not landing on red is 0.875.
How to determine the theoretical probability of the spinner not landing on redThe total number of sections on the spinner is 8, out of which only one section is red. Therefore, the probability of the spinner landing on red is:
P(Red) = 1/8
The probability of the spinner not landing on red would be the probability of landing on any other section, which is:
P(Not Red) = 1 - P(Red) = 1 - 1/8 = 7/8
Therefore, the theoretical probability of the spinner not landing on red is 7/8 or 0.875 in decimal form.
So, the correct answer is: 0.875.
Learn more about probability at https://brainly.com/question/24756209
#SPJ1
Answer:
D
Step-by-step explanation:
Which number is closest to zero on a number line? A. ¯ 3/5 B. ¯ 2/5 C. 1/5 D. 4/5
Answer:
Step-by-step explanation:
To find which number is closest to zero, we must find the number with the lowest absolute value. Luckily to our advantage, all of these numbers have the same denominators, so the number with the lowest numerator is closest to zero.
Out of these numbers, 1/5 is the closest to zero.
one more than the reciprocal of a particular number is $\frac{7}{3}$. what is the original number expressed as a common fraction?
Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.
1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).
Step 1: Set up the equation using the given information.
One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:
Reciprocal of the original number + 1 = $\frac{7}{3}$
Step 2: Solve for the reciprocal of the original number.
Reciprocal of the original number = $\frac{7}{3}$ - 1
Step 3: Simplify the equation.
Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$
Reciprocal of the original number = $\frac{4}{3}$
Step 4: Find the original number.
Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:
Original number = $\frac{1}{(\frac{4}{3})}$
Step 5: Simplify the expression.
Original number = $\frac{1}{1} \times \frac{3}{4}$
Original number = $\frac{3}{4}$
The original number expressed as a common fraction is $\frac{3}{4}$.
Learn more about Fractions here: brainly.com/question/10354322
#SPJ11
6. Electronics Warehouse had a Super Bowl Sale on Televisions. They offered no interest no payments for 24 months on televisions larger than 50 inches. You have been dving to have a new 85" TV, so you pick out an amazing OLED on sale for $2299.99. You take advantage of the store offering no interest, no paymenus for 24 months, and go home smiling. The fine print on the credit card agreement states a 24.99% interest rate that accrues monthly. Additionallv. if the balance is not paid in full by the end of the 24 month promotion. the interest will be apolied to the remaining balance. If vou choose to not make a payment during the 24-month period, what will your balance be when you get your first bill?
If you choose not to make a payment during the 24-month period, your balance at the end of the promotion will be $3,637.16.
Explain month
A month is a unit of time equal to one-twelfth of a year, or approximately 30.44 days. It is often used to represent periodic phenomena, such as interest rates or seasonal trends, and to calculate the duration between two dates. The number of months between two dates is calculated by dividing the difference in days by 30.44.
According to the given information
If you do not make any payments during the 24-month period, your balance will increase each month due to the interest that accrues. After 24 months, your balance will be:
$2299.99 * (1 + 0.020825)²⁴ = $3,637.16
To know more about interest visit
brainly.com/question/27584159
#SPJ1
Solve for x. -7.6 -1.2 + X 0.5
Please explain how to do this step by step
The correct answer to the fraction expression is: 2²/₂₁
How to solve Fraction Problems?There are different types of fractions such as:
Proper fractions
Improper Fractions
Mixed Fractions
We are given the fraction expression:
²/₃ + 3⁴/₇ ÷ 2¹/₂
Let us convert all to proper or improper fraction to get:
²/₃ + ²⁵/₇ ÷ ⁵/₂
Using PEMDAS order of operations, we will carry out division first to get:
²/₃ + (²⁵/₇ ÷ ⁵/₂)
When dividing fractions, the divisor changes numerator and denominaor and the sign becomes multiplication:
= ²/₃ + (²⁵/₇ * ²/₅)
= ²/₃ + ¹⁰/₇
Using L.C.M, we have:
= (28 + 60)/42
= 88/42 = 44/21
= 2²/₂₁
Read more about Fraction problems at: https://brainly.com/question/24132459
#SPJ1
Phil is baking a pie with cranberries and apples. Apples cost $0.60/cup and cranberries cost $0.40/cup. Phil wants to spend no more than $4.20 on the fruit for his pie.
Question
What is an inequality that represents the combinations he can use?
tim wants his mean quiz score to be 90. his first 3 quiz scores were 86, 92, and 94. what score should he make on the 4th quiz in order to have a mean quiz score of exactly 90?
The score to be made on the 4th quiz in order to have a mean quiz score of exactly 90 is equal to 88.
Let us consider the score that Tim needs to get on his fourth quiz be x.
Score he needs to get in order to have a mean quiz score of 90,
Set up an equation using the formula for the mean ,
(mean score) = (sum of scores) / (number of scores)
If Tim wants his mean quiz score to be 90, then we have,
⇒ 90 = (86 + 92 + 94 + x) / 4
Multiplying both sides by 4, we get,
⇒360 = 86 + 92 + 94 + x
Simplifying this equation, we get,
⇒ x = 360 - 272
⇒ x = 88
Therefore, Tim needs to get a score of 88 on his fourth quiz in order to have a mean quiz score of exactly 90.
Learn more about score here
brainly.com/question/31177688
#SPJ4
In ΔHIJ, the measure of ∠J=90°, HI = 6. 7 feet, and JH = 4. 8 feet. Find the measure of ∠I to the nearest degree
The measure of angle I in the triangle HIJ using given measurements is equal to 46.05 degrees.
In the triangle HIJ,
The measure of angle J is equal to 90 degrees.
This implies ,
HI is the hypotenuse.
JH is the opposite side to angle I.
In triangle HIJ,
Using trigonometric ratio we get,
sin ∠I = Opposite side / Hypotenuse
Substitute the values we have,
⇒ sin ∠I = 4.8 / 6.7
⇒ sin ∠I = 0.72
Now , take sin⁻¹ both the side of the equation we get,
⇒sin⁻¹(sin ∠I) = sin⁻¹( 0.72 )
Here sin⁻¹(sin ∠I) = ∠I
⇒∠I = sin⁻¹( 0.72 )
⇒∠I = 46.05 degrees
Therefore, the measure of angle I is equal to 46.05 degrees.
learn more about measure here
brainly.com/question/21751552
#SPJ4
WILL MARK BRAINLIST PLS HELP!!
(-4,-5); slope = 1/2
Answer: y=1/2x-3
Step-by-step explanation:
I'm assuming you're trying to find it in slope intercept form!
y=mx+b
y=1/2x-3
easy
Given this snippet of code, what is the value of x after executing the last statement? int x = 10, *y; y = &x; y = y + 1; *y = 100;
The value of x after executing the last statement is still 10.
After executing the last statement, the value of x is still 10. The snippet of code declares an integer variable x and a pointer variable y that points to the address of x. Then, y is incremented by 1 (which means it now points to the next memory location after x). Finally, the value 100 is assigned to the memory location pointed to by y, which is actually beyond the memory allocated for variable x. This can lead to unexpected behavior, but since the value of x is never modified directly, its value remains unchanged at 10.
Learn more about snippet of code here: brainly.com/question/28650328
#SPJ11
what is the volume, in cubic centimeters, of a right rectangular prism that has a length of 4 44 centimeters, a width of 9 99 centimeters, and a height of 10 1010 centimeters?
Step-by-step explanation:
Volume of rect prism = L X W X H = 4 X 9 X 10 = 360 cm^3
PLEASE HELP ILL MARK U AS BRAINLIEST!!
Answer: 64 sqaure centimetres.
Step-by-step explanation:
- Surface area means the area of all exterior sides of a 3D dimensional shape. This means we'll have to find the area of every face and then add them all together.
Top and Bottom
4 x 4 = 16
16 x 2 = 32
Both faces are the same so once we find the area of one, we can just double it.
North, South, East and West Side
4 x 2 = 8
8 x 4 = 32
All four remaining faces had the same dimensions, meaning that once you found one, you just had to multiply that answer by 4.
To find the overall surface area add all the areas you have.
32 + 32 = 64
or
16 +_16 + 8 + 8 + 8 + 8 = 64
PLEASE HELP DUE TODAY
Answer:
y=-1/12x+61/12
Step-by-step explanation:
y=-1/12x+61/12
A grab-bag contains 30 packages worth $. 65 each, 10 packages $. 60 cents each, and 15 packages worth $. 30 each. How much should the game owner charge to make it a fair game?
$0. 55
$0. 40
$0. 60
$0. 30
The game owner should charge option (a) $0.55 to make it a fair game
To determine how much the game owner should charge to make it a fair game, we need to calculate the average value of each package. We can do this by finding the total value of all the packages and dividing it by the total number of packages.
The total value of the 30 packages worth $.65 each is:
30 x $.65 = $19.50
The total value of the 10 packages worth $.60 each is:
10 x $.60 = $6.00
The total value of the 15 packages worth $.30 each is:
15 x $.30 = $4.50
The total value of all the packages is
$19.50 + $6.00 + $4.50 = $30.00
The total number of packages is
30 + 10 + 15 = 55
The average value of each package is
$30.00 / 55 = $0.55
Therefore, the correct option is (a) $0.55
Learn more about average value here
brainly.com/question/28123159
#SPJ4
You are going grocery shopping and want to spend less than $90. You have already bought $40 worth of
food and are wondering how many cartons of eggs you can get if they are each $4.49 each
Answer:
Total=$90
Used=$40
Left=($90-$40)=$50
1 carton = $4.49
$50÷$4.49
=11.135857 ≈ $11 10¢
Select each expression that is equivalent to 3(n + 6).
Answer:
3(n + 6) = 2(n + 6) + (n + 6)
3(n + 6) = 3n + 18
The Olympic record for the men's 50-meter freestyle is 21.91 seconds. Express this speed in meters per second
Answer:
50 meters/21.91 seconds = 2.282 m/sec
A rug is 1/2 yard by 2 5/6 yards.
Keith solves 1/2 times 2 5/6 to find the area of the rug in square yards.
Enter numbers to complete Keith's calculation for the area of the rug
The area of the rugs in square yards with given dimensions 1/2 yard by 2 5/6 yards is equal to 1 5 /12 square yards.
Dimensions of the rug are,
1/2 yard by 2 5/6 yards
Area of the rug in square yards solved by Keith is equal to
= 1/2 times 2 5/6
= ( 1/ 2 ) × ( 2 5/6 )
Convert mixed fraction into proper fraction we get,
2 5/6 = ( 6 × 2 + 5 ) / 6
⇒ 2 5/6 = 17 / 6
⇒ Area of the rug in square yards solved by Keith = ( 1 / 2 ) × ( 17 / 6 )
⇒ Area of the rug in square yards solved by Keith = ( 17 / 12 )
⇒ Area of the rug in square yards solved by Keith = 1 5 /12 square yards.
Therefore, the area of the rugs is equal to 1 5 /12 square yards.
Learn more about area here
brainly.com/question/29068783
#SPJ4
Mary needs $9000 in 9 years. What amount can she deposit in a sinking fund at the end of each quarter at 4% interest compounded quarterly so she will have her $9000?
Please serious answers only
Mary needs to deposit $282.44 at the end of each quarter into a sinking fund that earns 4% interest compounded quarterly in order to have $9,000 in 9 years.
what is deposit ?
In the context of finance, a "deposit" refers to the act of placing money or funds into a bank account, investment account, or other financial account. A deposit can also refer to the initial payment made to secure or initiate a purchase
In the given question,
To calculate the sinking fund payment that Mary needs to make at the end of each quarter, we can use the formula for the future value of an annuity:
FV = PMT x [(1 + r/n)ⁿᵇ - 1]/(r/n)
Where:
FV = future value (the amount Mary needs to accumulate, which is $9,000 in this case)
PMT = payment per period (what Mary needs to find)
r = annual interest rate (4% in this case)
n = number of compounding periods per year (4, since interest is compounded quarterly)
t = number of years (9 in this case)
Substituting these values into the formula, we get:
$9,000 = PMT x [(1 + 0.04/4)³⁶ - 1]/(0.04/4)
Simplifying and solving for PMT, we get:
PMT = $9,000 / [(1.01³⁶ - 1)/0.01]
PMT = $9,000 / 31.8422
PMT = $282.44 (rounded to the nearest cent)
Therefore, Mary needs to deposit $282.44 at the end of each quarter into a sinking fund that earns 4% interest compounded quarterly in order to have $9,000 in 9 years.
To know more about interest compounded , visit:
https://brainly.com/question/14295570
#SPJ1
In art class students are mixing blue and red paint to make purple paint. Hawa mixes 1 cup of blue paint and 5 cups of red paint. Jacob mixes 4 cups of blue paint and 13 cups of red paint. Use Hawa and Jacob’s percent of red paint to determine whose purple paint will be redder.
Hawa percent of red paint (to nearest whole number) =
%
Jacob percent of red paint (to nearest whole number) =
%
Hawa ’s purple paint will be redder.
Jacob’s purple paint will be redder.
The two purple paints will be equally red.
attempt 1 out of 2
Miracle Jackson
Which is more? (Percent Comparison)
Apr 10, 6:51:14 PM
Watch help video
In art class students are mixing blue and red paint to make purple paint. Hawa mixes 1 cup of blue paint and 5 cups of red paint. Jacob mixes 4 cups of blue paint and 13 cups of red paint. Use Hawa and Jacob’s percent of red paint to determine whose purple paint will be redder.
Answer:
Step-by-step explanation:
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1/2
B. Translate 1 to the left, scale vertically by 1/2 , then reflect over the y-axis.
C. Translate left by 1/2, then translate up 1.
D. Scale vertically by 1/2, reflect over the x-axis, then translate up 1.
The correct answer is option B. Translate 1 to the left, scale vertically by 1/2, then reflect over the y-axis.
What does term "transformation of a graph" means?The process of modifying the shape, location, or features of a graph is often referred to as graph transformation. Graphs are visual representations of mathematical functions or data point connections, often represented on a coordinate plane.
Translations, reflections, rotations, dilations, and other changes to the look of a graph are examples of graph transformations.
For the given problem, Transformation to get the desired result can be carried out as:
Translate '1' to the left: The transformation "x + 1" in "-k(x + 1)" shifts the graph horizontally to the left by 1 unit.Scale vertically by '1/2' : The 1/2 factor in "-k(x + 1)" vertically scales the graph, compressing it vertically.Reflect over the y-axis: The minus sign before "k" in "-k(x + 1)" reflects the graph over the y-axis, flipping it horizontally.Hence, to convert the graph of "y = k(x)" to the graph of "y = -k(x + 1)," the correct sequence of transformations is to translate 1 unit to the left, scale vertically by 1/2, and then reflect across the y-axis, which is option B.
Learn more about Graph Transformation here:
https://brainly.com/question/10059147
#SPJ1
The recipe for one batch of
chocolate chip cookies calls
for 11/3 cups of chocolate
chips. Luca made 3½ batches
of cookies. How many cups of
chocolate chips did he use?
Answer:
Step-by-step explanation:
1 + 1 divided by 3 x 3.5 = 4.66 or 4 2/3
In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student who did not complete the homework passed the test?
The probability that a student who did not complete the homework passed the test is 0.25.