Answer:
D, which is 7.
Step-by-step explanation:
if you notice that -2+4= 2, and 4+14= 18, you can make an educated guess.
The missing number in the given synthetic division problem is 7 hence, option (D) is correct.
What is synthetic division?The synthetic division used to divide a polynomial by any expression in that expression should be the leading coefficient as one.
Given that in problem first term has written as it is.
Then multiply 2 with 2 and add 4 with -2.
Again multiply 2 by 2 and add with 3 which gives 7.
Hence 7 will be the missing number in the given problem.
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Please help simplify!!
Answer:
a) -5n9
Step-by-step explanation:
CAN U PLZZZZ MARK ME BRAINIEST!!!! I REALLY NEED IT
describe whether the triangles are similar for 30 points
[tex]Similar:\\\\\triangle STU\sim\triangle QPR\qquad \boxed{SAS}\to side-angle-side\\\\m\angle SUT=m\angle QRP\\\\\dfrac{10}{4}=\dfrac{20}{8}\\\\L_s=\dfrac{10}{4}=\dfrac{10\cdot2}{4\cdot2}=\dfrac{20}{8}=R_s\\-------------------------------[/tex]
[tex]\text{Not similar or not necessarily similar}\\\\180^o-(90^o+30^o)=180^o-120^o=60^o\neq50^o\\\\\text{different angles}\\-------------------------------[/tex]
[tex]Similar:\\\\\triangle ABC\sim\triangle FED\qquad\boxed{SSS}\to side-side-side\\\\\dfrac{15}{5}=\dfrac{12}{4}=\dfrac{9}{3}\\\\3=3=3\\-------------------------------[/tex]
Rachel paints 5 1 2 512 square meters of wall space in 1 3 13 hour. What area of wall space can she paint in 1 hour? One 200-gram bag of rice costs $8.12. How much does 1 kilogram of rice cost? (Note that 1000 g = 1 kg.) John ran 1 2 12 mile in 5 minutes, and Al ran 1 3 13 mile in 4 minutes. Which runner ran at a faster rate? At a certain store, a half-gallon jug of milk costs $2.95, and a gallon jug of milk costs $5.95. Which milk has a cheaper price: the half-gallon or gallon jug? A package of nine 12-ounce cans of cola costs $7.50. A half-gallon bottle of the same cola is sold for $2.90. Which cola has a cheaper price, the cans or the bottle?
Rachel can paint 16.5 square meters in 1 hour. 1 kilogram of rice costs $40.60. John ran at a faster rate. The half-gallon jug of milk and the half-gallon bottle of cola are cheaper.
Explanation:Rachel paints 5 1/2 square meters of wall space in 1/3 hour, so we have to calculate how much she could paint in a whole hour. We multiply the speed (5.5/1/3) by the desired timeframe (1) to get 16.5 square meters. Therefore, Rachel can paint 16.5 square meters in 1 hour.
One 200-gram bag of rice costs $8.12. To find out how much 1 kilogram of rice costs, we divide 1000 by 200 to get 5 and then multiply this by $8.12 to find that 1 kilogram of rice costs $40.60.
John ran 1/2 mile in 5 minutes, while Al ran 1/3 mile in 4 minutes. To find out who ran faster, we need to calculate each runner's speed in miles per minute. John's speed is 1/2 / 5 = 0.1 mile per minute, while Al's is 1/3 / 4 = 0.083 mile per minute. Therefore, John ran at a faster rate.
A half-gallon jug of milk costs $2.95, and a gallon jug of milk costs $5.95. To compare, we should double the price of the half-gallon to reflect the same quantity as the gallon. $2.95 x 2 = $5.90, which is less than $5.95. Therefore, the half-gallon jug of milk is cheaper.
A package of nine 12-ounce cans of cola costs $7.50, whereas a half-gallon of the same cola costs $2.90. A half-gallon is 64 ounces, which is roughly equivalent to 5.33 cans of cola (64/12). Therefore, a half-gallon of cola costs the equivalent of $4.00 in cans (5.33 x $1.40 [the pricing per single can]). Therefore, the half-gallon bottle of cola is cheaper.
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The multiplication of two or more quantities may be expressed as the ? of the same quantities.
The multiplication of two or more quantities is expressed as the "product" of those quantities. In dimensional analysis, multiplying a quantity by unit conversion factors that are equal to 1 does not change that quantity's value. This is a fundamental principle used in various fields to ensure unit consistency.
The multiplication of two or more quantities may be expressed as the product of the same quantities. When we multiply numbers and units, we apply the mathematical operation to both, resulting in a new number and a combined unit of measurement. For example, if we multiply 86 inches by some quantity in centimeters (cm), the number part gets multiplied to yield the numerical product, and the units inch (in) and centimeter (cm) are multiplied to give a unit product in inches times centimeters (in×cm).
Moreover, in dimensional analysis, we use conversion factors that equate to 1 to change from one unit to another without changing the quantity's value. For example, since 100 centimeters (cm) is equivalent to 1 meter (m), we can create a conversion factor of 1 by writing 100 cm over 1 m or vice versa. This concept is vital for ensuring the consistency of units when performing multiplications or divisions in various fields, including economics, engineering, and physics.
When dealing with expressions, multiplication can also be viewed as a reversal of the distributive law, transforming addition or subtraction statements into a set of multiples or factors that produce an equivalent value.
Solve x^2 + 6x + 7 = 0.
A) x = −1 and x = −5
B) 3 plus or minus square root of 2
C) negative 3 plus or minus square root of 2
D) quantity of negative 3 plus or minus square root of 2 all over 2
Answer:
Option C. negative 3 plus or minus square root of 2
Step-by-step explanation:
Please see attachment.
C. negative 3 plus or minus square root of 2
So, the correct answer is indeed option C.
Write an equation to determine Sarah’s age
Joshua receive a $70 gift card to use at a clothing store. He buys a pair of jeans for $36 and 8 pair of socks. He does not use the entire amount of the gift card. Write and solve an inequality to find s , the price of each pair of socks?
10. You have two jobs. You earn $8 for each hour x that you work as a restaurant host and $6 for each hour y that you work as a hair washer. Your earnings for the pay period are $144.
a. Write an equation in standard form that models your earnings.
b. Find the x- and y-intercepts.
c. You worked 10 hours as a hair washer. How many hours did you work as a host?
Answer:
Step-by-step explanation:
The equation in standard form is:
8x + 6y = 144
To find the y-intercept, isolate y.
8x + 6y = 144
Subtract 8x from both sides.
6y = -8x + 144
Divide both sides by 6.
y = -4/3x + 24
From this, we know (0, 24) is the y-intercept because b, which in this case, is the y value for the y-intercept.
To find the x-intercept, input y as 0.
0 = -4/3x + 24
Subtract 24 from both sides.
-24 = -4/3x
Multiply both sides by 3/-4.
18 = x
The x -intercept is (18, 0).
Input 10 for y because that's how many hours you worked as a hair washer.
8x + 6(10) = 144
Simplify.
8x + 60 = 144
Subtract both sides by 60.
8x = 84
Divide both sides by 8.
x = 10.5
You worked 10.5 hours as a host.
X/7-3=-6/7
How do I solve this
Answer:
Alright well solve by cross multiplying
x = 15 Hope this helps have a nice day :)
Step-by-step explanation:
Now if u want i can explain with detail.
Your friend is starting a small business baking and decorating cakes and wants to make a profit of at least $250 for the first month. The expenses for the first month are $155. What are the possible revenues that your friend can earn in order to meet the profit goal?
Answer: The revenue can be $405 or it can be larger than this value.
In short, the revenue must be at least $405.
======================================
Explanation:
Let R be the possible revenue. We want the profit to be at least $250, so we want the profit to be 250 or more
Recall that profit is equal to revenue minus expenses, so
Profit = Revenue - Expenses
Profit = R - 155
The expression R - 155 represents the profit (R is just a placeholder for a number). We want R - 155 to be 250 or larger, so,
[tex]R - 155 \ge 250[/tex]
[tex]R - 155 \ge 250[/tex]
[tex]R - 155+155 \ge 250+155[/tex] add 155 to both sides
[tex]R \ge 405[/tex]
As long as the revenue is $405 or higher, then the profit will be at least $250
Final answer:
To meet a profit goal of at least $250 with expenses of $155, the friend must generate revenues of at least $405 in the first month.
Explanation:
To calculate the possible revenues needed to achieve at least a $250 profit for the first month, we need to consider both the expenses and desired profit. The calculation is straightforward: Revenue = Expenses + Desired Profit. Here, the expenses are $155, so the calculation is Revenue = $155 + $250, which equals $405. Therefore, to meet the profit goal of at least $250, your friend must generate revenues of at least $405 in the first month.
What is the ratio of 4 shirts for 32.00what is the ratio and percent of 4 shirts for 32.00
Answer:
the answer is $8 for every skirt
SHOPPING Sera went to the mall and made four purchases. She spent $2.85, $5.11, $7.89, and $4.15. Use mental math to determine how much money Sera spent at the mall.
Answer:
She spent around 20$
Step-by-step explanation:
add all whole numbers and estimate the cents.
Answer:
$20.00
Step-by-step explanation:
$2.85 = 3.00 - 0.15
$5.11 = 5.00 + 0.11
$7.89 = 8.00 + 0.11 Mentally cancel the 0.11s
$4.15 = 4.00 + 0.15 Mentally cancel the 0.15s
TOTAL = 20.00 + 0.00
TOTAL = $20.00
Eva makes and sells her own cranberry apple fruit punch for the holidays.
In jug A, she mixes 4 cranberry flavored cubes and 3 apple flavored cubes with some water.
In jug B, she mixes 3 cranberry flavored cubes and 2 apple flavored cubes with some water.
If you ask her for a drink that has a stronger cranberry taste, from which jug should Eva pour you drink?
Eva should pour you a drink from jug B for a stronger cranberry taste, as it has a higher ratio of cranberry to apple cubes compared to jug A, demonstrating the use of ratios in mathematics.
To decide which jug of fruit punch has a stronger cranberry taste, we should look at the ratio of cranberry flavored cubes to apple flavored cubes in both jugs. For jug A, the ratio is 4 cranberry cubes to 3 apple cubes, which simplifies to approximately 1.33 cranberry cubes for every apple cube. For jug B, the ratio is 3 cranberry cubes to 2 apple cubes, which simplifies to 1.5 cranberry cubes for every apple cube.
Since jug B has a higher ratio of cranberry to apple, it has a stronger cranberry taste compared to jug A. So, Eva should pour you a drink from jug B if you want a drink with a stronger cranberry flavor. This involves a practical application of ratios and proportions, which are key concepts in mathematics used to compare quantities.
At 1:00 the water level in a pool is 13 inches. At 2:30 the water level is 28 inches what is the rate of change?
A: 15/90
B: 1/10
C: 10/1
Answer:
b:1/10
Step-by-step explanation:
In 1 hour and 30 minutes the water level increased by 15 inches. If we simplify that, we get 10 inches for every hour. The correct answer is b.
Hope this helps!
Can I please have brainliest? I only need one more!
Slope of (15,130) and (1,160)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (15, 130) amd (1, 160). Substitute:
[tex]m=\dfrac{160-130}{1-15}=\dfrac{30}{-14}=-\dfrac{15}{7}[/tex]
Hi there! :)
Step-by-step explanation:
[tex]Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]
[tex]\frac{160-130}{1-15}=\frac{30}{-14}=\frac{30/2}{-14/2}=\frac{15}{-7}=-\frac{15}{7}[/tex]
Therefore, the slope is -15/7.
Final answer is -15/7.
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thank you so much! :)
:D
The area of a rhombus is given by the formula A=1/2xy,where x and y are the lengths of the diagonals. If the diagonals of a rhombus have lengths 10cm and 20cm, find the area of the rhombus.
A painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%. By what percent is the new frame bigger than the original frame if the width of the frame remains the same?
Final answer:
To find out by what percent the new frame is bigger than the original, the percentage increase is calculated as 8.33%. This is done by comparing the change in the total outer dimension of the framed painting after enlargement with the width of the frame unchanged.
Explanation:
If the original side length of the square painting is 's', the width of the frame is 10% of this length, so w = 0.10s. Now, if the painting was enlarged by 10%, the new side length of the painting is 1.10s. The width of the frame remains unchanged, so we only need to consider the change in the total outer dimension of the framed painting.
To find out by what percent the new frame is bigger than the original frame, we compare the change in the outer dimension of the frame to the original dimension. The total outer dimension of the original framed painting is s + 2w, while the total outer dimension of the enlarged framed painting is 1.10s + 2w.
Original frame outer dimension = s + 2(0.10s) = s + 0.20s = 1.20s
Enlarged frame outer dimension = 1.10s + 2(0.10s) = 1.10s + 0.20s = 1.30s
Percentage increase = ((1.30s - 1.20s) / 1.20s) × 100% = (0.10s / 1.20s) × 100% = 8.33%
Therefore, the new frame is 8.33% larger than the original frame.
Find the product and simplify.
5/16 of 24/15
Answer:
1/2
Step-by-step explanation:
First, write out the product. Then, reduce as far as possible:
5 24 5(1)(4)(6)
----- * ------- = --------------- Here, the 5s cancel, and so we get:
16 15 5(3)(4)(4)
4(6)
----------
3(4)(4)
Here, the 4 in the numerator cancels out one of the 4s in the denominator:
6
------
12
and this last result reduces to 1/2.
[tex]Solution, \frac{5}{16}\cdot \frac{24}{15}=\frac{1}{2}\quad \left(\mathrm{Decimal:\quad }\:0.5\right)[/tex]
[tex]Steps:[/tex]
[tex]\frac{5}{16}\cdot \frac{24}{15}[/tex]
[tex]\frac{24}{15}=\frac{8}{5},\\\frac{8}{5}\cdot \frac{5}{16}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d},\\\frac{5\cdot \:8}{16\cdot \:5}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:5,\\}\\\frac{8}{16}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:8,\\\frac{1}{2}[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:\frac{1}{2}}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{Please\:Mark\:Brainliest!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
LCM (m, m + 1)=???
please answer
Answer:
Step-by-step explanation:
except for m = 0 or 1 these two numbers are going to be prime to each other. I cannot think of any example where that statement is not true.
So the lowest common multiple is m* (m + 1)
Consider the piecewise-defined function.
What is f(6)?
A 6
B 12
C 18
D 26
Answer:
B 12
Step-by-step explanation:
Since f(6) means we want to evaluate the function when x=6
We will want to use f(x) =2x because 5<= 6 <10
f(6) = 2*6
f(6)=12
f(x) = x when 2 ≤ x < 5
So you can use this function if "x" is greater than or equal to 2 and less than 5
f(x) = 2x when 5 ≤ x < 10
You can use this function if "x" is greater than or equal to 5 and less than 10
f(6) This means that x is 6, so you can plug in 6 for "x" in the equation.
You use the second function because 6 is greater than 5 and less than 10
f(x) = 2x
f(6) = 2(6)
f(6) = 12 Your answer is B
SOLVE FOR y
8x-12y=24
Answer:
y = 2/3 x -2
Step-by-step explanation:
8x-12y=24
The first step is to subtract 8x from each side
8x-8x-12y=-8x+24
-12y = -8x+24
Now we will divide each side by -12 to isolate y.
-12y/-12 = -8x/-12 +24/-12
y = 2/3 x -2
To solve for y in the equation 8x - 12y = 24, isolate the variable y by following several steps: move the constant term to the other side, move the term with the variable to one side, and divide both sides by the coefficient of y. The solution is y = (8x - 24) / 12.
To solve for y in the equation 8x - 12y = 24, we need to isolate the variable y. First, let's move the constant term to the other side of the equation by adding 12y to both sides:
8x - 12y + 12y = 24 + 12y
Simplifying the equation gives us:
8x = 24 + 12y
Next, let's move the term with the variable to one side and the constant term to the other side. We can do this by subtracting 24 from both sides:
8x - 24 = 24 + 12y - 24
Simplifying the equation further gives us:
8x - 24 = 12y
Finally, to solve for y, divide both sides of the equation by 12:
(8x - 24) / 12 = (12y) / 12
This simplifies to:
(8x - 24) / 12 = y
Therefore, y = (8x - 24) / 12.
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Morgan needs to earn $16.31 more to have $40.00. Four students wrote and solved equations to find m, the amount of money that Morgan has now. Which student wrote and solved the equation correctly?
The equation for the amount of money that Morgan has now is 16.31+m = 40
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Morgan needs to earn $16.31 more to have $40.00, we need to establish an equation to find the amount of money Morgan need,
Let the required money be m,
So, the equation will be
16.31+m = 40
m = 40-16.31
m = 23.69
Hence the equation for the amount of money that Morgan has now is 16.31+m = 40
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Morgan currently has $23.69. An equation m + 16.31 = 40.00 is set up and solved by subtracting $16.31 from $40.00 to find the value of m.
We can set up the equation m + 16.31 = 40.00. This equation translates the fact that Morgan needs $16.31 more to have $40.00. Therefore, by performing a basic subtraction (40.00 - 16.31), we can solve for m.
Step 1: Write the equation: m + 16.31 = 40.00.
Step 2: Subtract 16.31 from both sides of the equation to isolate m: m = 40.00 - 16.31.
Step 3: Perform the subtraction to find m: m = 23.69.
This method is a straightforward way to solve for the current amount of money that Morgan has.
evaluate the expression for z=3 , 45z + 4,565 + 9,078 ÷ 89
Answer:
4802
Step-by-step explanation:
z=3 , 45z + 4,565 + 9,078 ÷ 89 = 45 * 3 + 4,565 + 9,078 ÷ 89 = 135 + 4,565 + 102 = 4802
A 15ft ladder leans against the side of a house. The top of the ladder is
13ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
Angle x = 60.1 degrees
Step-by-step explanation:
Given : height of the ladder is 15 ft that is the hypotenuse
The top of the ladder is 13ft off the ground.
That is the oppposite side of angle x
Since this forms a right angle triangle we use trigonometric ratios to find x
We know the opposite side and the hypotenuse
sin(x) = opposite / hypotenuse
[tex]sin(x) = \frac{13}{15}[/tex]
[tex]x = sin^{-1}(\frac{13}{15})[/tex]
x= 60.073565
Angle x = 60.1 degrees
check the picture below.
make sure your calculator is in Degree mode.
Using the triangle below, answer the following questions.
1. Would you use Law of Sines or Law of Cosines to find the missing measures.
2. Write out the formula for the Law used.
3. Explain in detail why you would use the chosen Law.
Step-by-step explanation:
Answer(1):
Law of Cosines.
Answer(2):
since side "c" is missing so we will write formula used for side "c"
[tex]c^2=a^2+b^2-2ab\cdot\cos\left(C\right)[/tex]
Answer(3):
First lets write both sine and cosine formulas:
Check the attached picture for the list of formulas:
From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.
Sine formula uses two angles while cosine formula uses only one angles.
Hence cosine formula will be best choice to find the missing values.
what is value of n makes the equation 4(0.5n - 3) = n - 0.25 (12-8n) true
To find the value of n that makes the equation true, simplify the equation and solve for n by combining like terms and isolating n on one side of the equation.
Explanation:To find the value of n that makes the equation true, we need to solve for n. Let's simplify the equation step by step:
First, distribute the 4 to the terms inside the parentheses: 4(0.5n - 3) = n - 0.25(12-8n)
This becomes: 2n - 12 = n - 3 + 2n
Now, combine like terms: 2n - n - 2n = 3 - 12
Simplifying further, we have: -n = -9
Finally, divide both sides of the equation by -1 to solve for n: n = 9
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WILL SOMEONE PLEASE HELP ME FOR ONCE!?!?!?!?!?!?
Will mark brainliest!!!!
Write the inequality for the graph.
please please help
Answer: x is less than or equal to -4.25
Step-by-step explanation:
Since the dot on the number line is filled in it is either a less than or equal to or a greater than or equal to. Because the line is going more into negative or descending, it is less than or equal to.
Answer:
x is less than or equal to -4.25 (the third option)
A line with a slope of -2 passes through the points (0,d) and (-8,9). What is the value of d?
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have m = -2 and the points (0, d) and (-8, 9). Substitute:
[tex]\dfrac{9-d}{-8-0}=-2\\\\\dfrac{9-d}{-8}=-2\qquad\text{multiply both sides by (-8)}\\\\9-d=16\qquad\text{subtract 9 from both sides}\\\\-d=7\qquad\text{change the signs}\\\\\boxed{d=-7}[/tex]
Larry uses his credit card to purchase a new video game system for $445.07 he can pay off off up to $200 per month the card has an annual rate of 13.6% compounded monthly how much total interest will he pay
Larry will pay a total interest of $45.07 when using his credit card to purchase the video game system.
To calculate the total interest Larry will pay when using his credit card to purchase a video game system for $445.07, with a monthly payment limit of $200 and an annual rate of 13.6% compounded monthly, we can follow these steps:
1. Calculate the total amount to be paid off by subtracting the monthly payment from the total purchase amount:
Total amount to be paid off = $445.07 - $200 = $245.07
2. Determine the number of months it will take to pay off the balance by dividing the total amount to be paid off by the monthly payment:
Number of months = $245.07 / $200 = approximately 1.22535 months (round up to the nearest whole month, which is 2 months)
3. Calculate the monthly interest rate by dividing the annual rate by 12 (since it's compounded monthly):
Monthly interest rate = 13.6% / 12 = 1.1333%
4. Use the formula for compound interest to find the total interest paid:
Total interest = Total amount paid - Total principal amount
Total principal amount = $445.07
Total amount paid = $200 * 2 = $400
Total interest = $400 - $445.07 = $45.07
Therefore, Larry will pay a total interest of $45.07 when using his credit card to purchase the video game system.
Soup cost 10 for 3 cans. Josh spent $40 on soup.How many can did he buy
Answer:
He bought 12 cans of soup
Step-by-step explanation:
We can use a ratio to solve this problem.
$10 $40
----------- = --------------
3 cans x cans
Using cross products
10* x = 3 * 40
10x = 120
Divide by 10
10x/10 = 120/10
x = 12