Subtract:
79 – 33
Question 10 options:
A)
–46
B)
46
C)
112
D)
–112
Answer:
it's answer is B 46
As 79 -33 = 46
Answer:
B) 46
Step-by-step explanation:
79 - 33 =
= + 46
Look at the two equations:
-3x + 6 = 21
-3x + 6 <21
Which statement best describes the process used to solve the equations?
Answer:
From the given equations -3x + 6 = 21 and -3x + 6 <21 we have that the process is exactly the same for solving the equation and solving the inequalityStep-by-step explanation:
Given that the two equations -3x + 6 = 21 and -3x + 6 <21
To find the statement best describes the process used to solve the equations :From the given equations -3x + 6 = 21 and -3x + 6 <21 we have that
-3x+6-6=21-6
-3x=15
[tex]x=-\frac{15}{3}[/tex]
∴ x=-5-3x + 6 <21
-3x+6-6<21-6
-3x<15
[tex]x< -\frac{15}{3}[/tex]
∴ x< -5 From the given equations -3x + 6 = 21 and -3x + 6 <21 we have that the process is exactly the same for solving the equation and solving the inequality.The first equation is a statement of equality, while the second is an inequality. The process is solving equations and inequalities.
The process used to solve the equations involves identifying whether the given expressions are equations or inequalities and then applying appropriate techniques to find the solution.
For the equation [tex]\( -3x + 6 = 21 \)[/tex], the goal is to find the value of [tex]\( x \)[/tex] that makes the equation true. We start by isolating [tex]\( x \)[/tex] on one side of the equation. By subtracting 6 from both sides and then dividing by -3, we find [tex]\( x = -5 \)[/tex]. This is the solution to the equation.
On the other hand, for the inequality [tex]\( -3x + 6 < 21 \)[/tex], the goal is to find the values of [tex]\( x \)[/tex] that satisfy the inequality. We follow similar steps as with the equation but with one crucial difference: when dividing by a negative number, the direction of the inequality sign must be reversed. After isolating [tex]\( x \)[/tex], we find [tex]\( x > -5 \)[/tex]. This represents all values of [tex]\( x \)[/tex] that make the inequality true.
In summary, the process involves understanding whether we are dealing with equations or inequalities, isolating the variable, and solving for its value. For inequalities, attention must be paid to reversing the inequality sign when dividing by a negative number.
Order the following numbers in Ascending order: 2/3, 1/5, 4/5, 1/3
Answer:
1/5 , 1/3, 2/3, 4/5
Answer:
= 1/5, 1/3, 2/3, 4/5
Step-by-step explanation:
2/3, 1/5, 4/5, 1/3
= 10/15, 3/15, 12/15, 5/15
= 3/15, 5/15, 10/15, 12/15
= 1/5, 1/3, 2/3, 4/5
When looking at the association between the events “owns a car” and “own a pet,” if the events are independent then the probability:
P(owns a pet | owns a car) is equal to____?
A) P(owns a pet)
B) P(owns a pet) + P(owns a car)
C) P(owns a car)
D) P(owns a pet) x P(owns a car)
P(owns a pet) x P(owns a car)
Step-by-step explanation:
Two independent events,
Own a pet and own a car
The probability of independent events can be written as,
(Probability of event 1) x (probability of event 2)
P(owns a pet) x P(owns a car)
Answer:
P(owns a pet)
Step-by-step explanation:
Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.
15 minus 0.06 x greater-than-or-equal-to 5
What is the maximum number of copies Aiden can make?
60
83
166
250
Answer:
166
Step-by-step explanation: 0.06 times 166 equals 9.96 and Aiden wants at least 5 dollars left so 166 is the answer
Is 13/ 10 or 3/4 closer to 1
Answer:
3/4
Step-by-step explanation:
13/10 - 1 = .3
1 - 3/4 = .25
.3 > .25
You want the smaller answer. 3/4
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. Out of the two given options, 3/4 is closer to 1.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The value of 13/10 is equal to 1.3, while the value of 3/4 is 0.75. Therefore, the difference between the two numbers from 1 will be equal to,
[tex]D_1 = 1.3-1 = 0.3[/tex]
[tex]D_2 = 1-0.75 = 0.25[/tex]
Since the value of 0.3 is greater than 0.25, therefore, the gap between 13/10 and 1 will be more than 3/4 and 1.
Hence, out of the two given options, 3/4 is closer to 1.
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The product of the areas of two rectangular rugs is 84. If each of the dimensions is a prime number, what are the four dimensions? PLEASE help FAST!!!!
A.) 2,3,3,7
b.) 3,3,4,7
C.)2,2,3,3
D.)2,2,3,7
Final answer:
The correct dimensions for the two rectangular rugs, given that the product of their areas is 84 and each dimension is a prime number, are 2, 3, 3, and 7. Option : A) 2, 3, 3, 7 is correct answer .
Explanation:
The student's question is about finding the four dimensions of two rectangular rugs given that the product of their areas is 84 and each dimension is a prime number. We can break down the number 84 into its prime factors which are 2, 2, 3, and 7. Because dimensions must be prime numbers and since the only way to multiply four factors to get 84 is to pair them as (2 x 3) and (2 x 7), the dimensions of the rectangles are 2, 3, 2, and 7. However, since we know that the dimensions of the rugs must also be lengths, and lengths cannot be repeated for the same rug, it follows that the correct option must list each length only once.
Therefore, the four dimensions cannot be 2, 3, 2, and 7 since this would imply one rug has dimensions 2 x 2 which would not yield a prime number length for one side. Looking at the options given, the only set of dimensions that fulfill the criteria of being prime numbers and not repeating any length for the same rug is 2, 3, 3, and 7. Thus, the correct answer is: A) 2, 3, 3, 7.
The four dimensions of the rectangular rugs are 2, 2, 3, and 7. Hence, the correct option is D.
The four dimensions of the rectangular rugs are 2, 2, 3, and 7.
To find the dimensions, we need to factorize 84, which is 2 x 2 x 3 x 7 = 2^2 x 3 x 7.
Therefore, the dimensions are 2, 2, 3, and 7, which are all prime numbers.
the ratio 6:12 in its simplest form
Answer:
1:2
Step-by-step explanation:
÷ by 6 both 6 and 12
you will receive 1:2 is the simplest form.
Proving the parallelogram diagonal theorem answers please
The parallelogram diagonal theorem pertains to vector addition and subtraction, where the diagonals of a parallelogram indicate the resultant and the difference of two vectors. The precision of the resultant vectors is attained through trigonometry laws or by drawing the vectors to scale, with the alternative method of components simplifying calculations. The Pythagorean theorem also aids in accurately determining the lengths of resultants in right-angled vector scenarios.
Explanation:Proving the Parallelogram Diagonal TheoremIn geometry, the parallelogram diagonal theorem states that when two vectors form the sides of a parallelogram, the diagonals of that parallelogram represent the sum and the difference of the two vectors. This can be understood by two distinct operations:
The magnitude and direction of these resultant vectors cannot simply be calculated as the arithmetic sum or difference of the magnitudes of individual vectors A and B. Instead, we must apply trigonometry laws or construct the vectors to scale and measure directly if precision is not paramount. The method of components, involving breaking down vectors into their orthogonal components along the axes, offers an alternative by circumventing complex algebraic calculations.
To add multiple vectors, we can sequentially apply the parallelogram rule to combine pairs until we derive the overall resultant. The process is both commutative and associative, meaning that the order of addition does not affect the final resultant vector.
The Pythagorean theorem, crucial for right triangles, allows us to calculate the straight-line distance (hypotenuse) when we know the lengths of the other two sides. It serves as another example of how vector components can simplify the calculation of resultants in orthogonal directions.
The perimeter of a playing card is 32 centimeters. The area is 63 square centimeters. What are the dimensions of the playing card
Expand: In (4a)^3
- 3 In 4 + In a
- 3 In 4 - 3 In a
- 3 In 4 + 3 In a
Answer:
3 ln 4 + 3 lna
Step-by-step explanation:
In (4a)^3
We know that ln x^y = y ln x
3 ln (4a)
We also know that ln (xy) = ln x + ln y
3( ln 4 + ln a)
3 ln 4 + 3 lna
Answer:
3 ln 4 + 3 lna
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £198 is decreased to £160.
Answer:
p ≈ 19.19 %
Step-by-step explanation:
198 - p×198/100 = 160
19800 - 198p = 16000
19800 - 16000 = 198p
3800 = 198p
p = 19.19 %
The percentage change is -19.19%.
What is percentage change?The percentage change (or) the percentage change of a quantity is the ratio of the difference in the quantity to its initial value multiplied by 100.
Given that, a price of £198 is decreased to £160.
Percentage change = (final - initial) amounts ÷ initial amount × 100
Percentage change = (160 - 198) / 198 × 100
= - 38 / 198 × 100
= - 19.19%
The negative is showing decrease.
Hence, the percentage change is - 19.19%
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The sum of a number and seven is the same as double the number increased by three.
Answer:
Not true
Step-by-step explanation:
n+7 = 2n+3
Final answer:
The student's algebra problem is solved by setting up the equation x + 7 = 2x + 3, where x is the unknown number, and using algebraic manipulations to find that x equals four.
Explanation:
The student's question pertains to an algebraic expression where a number and seven have a sum that's equivalent to double the number increased by three. To express this situation mathematically, we could set up the equation x + 7 = 2x + 3, where x represents the unknown number. To solve for x, we start by subtracting x from both sides of the equation, leading to 7 = x + 3. Then, we subtract 3 from both sides to isolate x on one side, resulting in 4 = x. Therefore, the number we are looking for is four.
The properties of numbers, such as the commutative property of addition which states that A + B = B + A, apply to this equation. This principle indicates that the order in which you add numbers does not affect the sum, a foundational concept taught across various arithmetic and algebra contexts in mathematics.
original price of a CD is $17.50 discount is 50%
Answer:
$8.75
Step-by-step explanation:
To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.
Method 1:
To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.
1) Divide 17.50 by 10.
[tex]17.50/10=1.75[/tex]
2) Multiply 1.75 by 5.
[tex]1.75*5=8.75[/tex]
3) Minus 8.75 from 17.50.
[tex]17.50-8.75=8.75[/tex]
4) The new price is $8.75
Method 2:
The formula for percentages is.
[tex]\frac{percentage}{100} * amount[/tex]
To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.
1) Divide 50 by 100.
[tex]50/100=0.5[/tex]
2) Multiply 0.5 by 17.50.
[tex]17.50*0.5=8.75[/tex]
3) Minus 8.75 from 17.50.
[tex]17.50-8.75=8.75[/tex]
4) The new price is $8.75.
what is the order steps to calculate the volume of a prism?
Answer:
V=1/2Bh
Step-by-step explanation:
Multiply the area of the triangular base face times the height. Just multiply the area of the base times the height. After you multiply the base and height, you'll have the volume of the prism. then just your answer in cubic units.
Answer:
write the formula
calculate the area of the prism base
substitute the values in for unknown variables
simplify by multiplying
label the answer with the correct units
Step-by-step explanation:
hope this helped, be safe and have a great day
Nelda is making punch for her school party. Her recipe calls for 1/8 cup of apple juice for each serving punch. How many serving of punch can nelda make if she has 7 cups of apple juice
Answer:
7/8
Step-by-step explanation:
To be honest, I might be wrong I this but I will try to help you...
Since Nelda is trying to have 7 servings, or cups, of punch, she would need 1/8 cup of apple juice for each. This means you could do 7 * 1/8, which gives you 0.875 OR 7/8. Hope this helps!
3+(−2 14)
I just need the answer! Thanks so much! 12 points!
Answer: .75
Step-by-step explanation:
Answer:211
Step-by-step explanation:
Solve: 4/x = 2/3
(A) x = 5
(B) x = 6
(C) x = 9
(D) x = 12
AND SHOW THE STEPS
Step by step solution pls >_
Can someone please help me ?
Answer:
B. π(3/2)²h
(27/4)π cubic inches
Step-by-step explanation:
A. The formula for the volume of a cylinder is ...
V = πr²h
The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...
V = π(3/2)²h . . . . . . matches choice B
__
B. When h=3, the volume evaluates to ...
V = π(9/4)(3) = (27/4)π . . . . cubic inches
Find the value of x in the figure.
A. 3
C. 6
B. 7
D. 5
Answer:
A. 3
Step-by-step explanation:
since the missing angle adds up to 90° when added to 66°, first you would subtract 66 from 90
[tex]90-66=24[/tex]
set that number equal to [tex]8x[/tex] and solve for [tex]x[/tex]
[tex]8x=24[/tex]
[tex]x=3[/tex]
WILL GIVE BRAINLIEST!!!
Solve the system using substitution.
-x-y=4
3x-4y=-13
A. (-1,3)
B. (3,-1)
C. (-3,1)
D. (1,-3)
Answer:
C. (-3, 1)
Step-by-step explanation:
[tex] - x + y = 4 \\ \therefore \: y = x + 4...(1) \\ \& \: 3x - 4y = - 13....(2) \\ substituting \: y = x + 4 \: in \: equation \: (2) \\ 3x - 4(x + 4) = - 13 \\ 3x - 4x - 16 = - 13 \\ - x = 16 - 13 \\ - x = 3 \\ \huge \red{ \boxed{x = - 3}} \\ plug \: x = - 3 \: in \: equation \: (1) \\ y = - 3 + 4 \\ \huge \purple{ \boxed{y = 1}} \\ \\ \orange{ \boxed{ \bold {\therefore \: (x, \: \: y) = ( - 3, \: \: 1)} }}[/tex]
Hannah and Anthony are sibling who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations could be used to find Hannah’s age, h, is she is the older sibling? Select all that apply:
a) 2h + 1 = 92
b) 2h – 1 = 92
c) 2h + 2 = 92
d) 2h – 2 = 92
e) h – 2 = 92 – h
f) h – 1 = 92 – h
Answer:You have to ask your teacher
Step-by-step explanation: i couldnt do it but she gave it to us because she said that its to hard
Four friends are racing. Lisa finishes four hours ahead of Tony, with Pete finishing eight hours ahead of Max. Max needed six more hours to finish than Lisa. What order do they cross the finish line in?
Need steps. Please
Answer:
Pete, Lisa, Tony, Max
Step-by-step explanation:
Lisa is 4 ahead Tony, putting Tony 4 behind Lisa
Pete is 8 ahead Max, putting Max 8 behind Pete
Lisa is also 6 ahead Max, putting Max 6 behind Lisa
So, Pete is 8 ahead Max, but lisa is 6 ahead Max, so Pete is ahead of Lisa by 2
Then lisa is 4 ahead Tony, so tony is 4 behind lisa and 6 behind Pete
Therefore (I know its confusing) The order is Pete, Lisa, Tony, Max
Final answer:
By analyzing the time differences between their finishes, we can determine that the friends cross the finish line in this order: Lisa first, Pete second, Tony third, and Max last.
Explanation:
To solve the question regarding the order in which four friends cross the finish line, we will use logical reasoning and simple arithmetic based on the information provided. Lisa finishes four hours ahead of Tony, Pete is eight hours ahead of Max, and Max finishes six hours after Lisa. From the given information, we can set up a sequence of events to determine the order in which they finish.
Let’s assume Lisa finishes first. Then Max finishes six hours after Lisa.Since Pete finishes eight hours ahead of Max, Pete must finish ahead of Max and two hours after Lisa, placing him in second.Lisa finishes four hours ahead of Tony, which would mean Tony finishes after Lisa but before Max.Therefore, the final order is: Lisa, Pete, Tony, and then Max.Substitute 4 for x and evaluate the expression below. 7x – 3 A. 16 B. 8 C. 7 D. 25
Answer:
D. 25
Step-by-step explanation:
7x – 3
Let x=4
7*4 -3
28-3
25
Answer:
d.
Step-by-step explanation:
Which number is rational and a real number, but not an integer?
A. Square root 2
B. There is no such number
C. -5
D. 5/7
Answer:
D. 5/7
Step-by-step explanation:
5/7 is real because it can be plotted on a number line,
Its rational because it can be written as a fraction of 2 integers
But it is not an integer
What is the perimeter of this pentagon?
Answer:
5.715 centimeters or 27 Inches
Step-by-step explanation:
You just have to add all the fractions together and then convert your final answer into cm, in, ft, etc...
Cameron was flying his new kite in the park. When all 60 ft of the kite's string was let
out, Cameron tied the end of the string to a stake in the ground and walked 25 ft until
he was standing directly under the kite as shown in the diagram. Find the measure of
the angle formed by the kite string and the ground. If necessary, round to the nearest
degree.
A) 23°
B) 25°
C) 65°
D) 42°
Answer:
42 Degrees
Step-by-step explanation:
All you really have to do is look on Google for examples of the angles: 23, 25, 65, and 42 and see which one looks like the same angle that the kite string is.
This is confusing, I need some help on it
Answer:
y=x+5
Step-by-step explanation:
Looking at the answer choices, at first glance you see x=0 and y=5, this mean the y-intercept is 5. And in the equation y=mx+b, positive 5 will go into b.
The only answer with +5 as y-intercept is y=x+5
Now what if there are multiple +5 for y-intercept?
If there is multiple +5, you will also need to find the slope, you can find the slope by using
y2-y1/x2-x1
Answer:
The 1st one.
Step-by-step explanation:
In order to find the equation, they're is 2 ways of doing. Plugging in or using Y-Y1=M(X-X1). For plugging in, replace the x with 1 x value and plug in y for the corresponding x value. Or you can plug in all the x and y values into the equation shown and put the number on the left to the right and you'll get your equation immediately. Good luck on the Quizziz!
what is x²-22x-40=0
A random selection will be made from a bag containing different
colored disks. Of the 25 disks in the bag, 5 are yellow,
so P(yellow) =
a. The probability that a yellow disk will be selected is O is
b. Complete the sentence to describe the likelihood of randomly
selecting a yellow disk.
that a yellow disk will be randomly selected
It is
from the bag.
The probability of selecting a yellow disk from a bag of colored disks is 1/5 or 20%
The probability of selecting a yellow disk is 5 out of 25 disks, which simplifies to 1/5 or 0.2 (20%).
If you reach into the bag without looking, you have a 20% likelihood of randomly selecting a yellow disk from the total number of disks.
a. The probability that a yellow disk will be selected is 5/25 or 1/5, b. Complete the sentence to describe the likelihood of randomly selecting a yellow disk: It is 1/5 that a yellow disk will be randomly selected from the bag.
The probability of selecting a yellow disk from the bag is 1/5, as there are 5 yellow disks out of a total of 25 disks. This means that for every 5 disks chosen randomly, one is expected to be yellow. The likelihood of randomly selecting a yellow disk is thus 1 out of 5, or 20%. This probability reflects the relative abundance of yellow disks in the bag compared to other colors. With each random selection, there's an equal chance of picking any individual disk, making understanding probabilities crucial for predicting outcomes in random selections.