Least possible sum of missing digits is 3 that is 3 + 0 and missing numbers are 30
Solution:
Given that number 42,__2 rounded to the hundred place is 42300 .
Need to determine least possible sum of the two missing digits.
first lets see what all numbers can be rounded to 300
number from 251 to 349 can be rounded to 300 as 251 is more close to 300 than 200 and 349 is closer to 300 than 400.
But in our case at ones place we are having 2 , so possible numbers having 2 at ones place and in between 251 to 349 are 252 , 262 , 272 , 282 , 292 , 302 , 312 , 322 , 332 and 342.
but we are only concern numbers at hundred and tens place
so now we have 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 and 34.
Out of this set we want numbers whose sum is least . So if you carefull observer that number is 30 having least sum as 3 + 0 = 3 .
So missing numbers in 42,__2 is 30 and number is 42,302.
Hence we can conclude that least possible sum of missing digits is 3 that is 3 + 0 and missing numbers are 30.
on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20
Answer:
Share of A is $116 and Share of B is $84.
Step-by-step explanation:
Let the share of A be [tex]x[/tex]
Let the share of B be [tex]y[/tex]
Given:
$200 is shared between A and B
So, [tex]x+y =\$200\ \ \ \ equation \ 1[/tex]
Also given;
twice of A's share is less than 3 times than B's share by $20
[tex]2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2[/tex]
Solution:
Now multiplying equation 1 by 3 we get,
[tex]3x+3y=600 \ \ \ \ equation \ 3[/tex]
Now Adding equation 2 and equation 3 we get
[tex](2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116[/tex]
Now Substituting the value of x in equation 1 we get,
[tex]x+y=200\\116+y=200\\y=200-116 = \$84[/tex]
Hence, Share of A is $116 and Share of B is $84.
x^(logx) = 1000000x
Find x.
Answer:
[tex]x = 1000[/tex] or [tex]x = 0.01[/tex]
Step-by-step explanation:
We are given a logarithmic equation of x and we have to solve it for x.
Given,
[tex]x^{\log x} = 1000000x[/tex]
⇒ [tex]x^{\log x} = 10^{6} \times x[/tex]
Now, taking log on both sides, we get
[tex]\log x^{\log x} = \log 10^{6} \times x[/tex]
⇒ [tex]\log x .\log x = \log 10^{6} + \log x[/tex]
{Since [tex]\log a^{b} = b\log a[/tex] and [tex]\log ab = \log a + \log b[/tex]}
⇒ [tex](\log x)^{2} = 6 + \log x[/tex]
{Since log 10 = 1}
⇒ a² = 6 + a {Where, a = log x}
⇒ a² - a - 6 = 0
⇒ (a - 3)(a + 2) = 0
⇒ a = 3 or a = -2
⇒ [tex]\log x = 3[/tex] or [tex]\log x = - 2[/tex]
Now, converting logarithm to exponential form, we get,
⇒ [tex]x = 10^{3} = 1000[/tex] or [tex]x = 10^{- 2} = \frac{1}{100} = 0.01[/tex] (Answer)
Dylan plants grass in a rectangular space behind the clubhouse.the area of the space is 70 square feet. If the length of the space is 14 feet . what is the width of the space
Answer:
The width of the rectangular space = 5 ft.
Step-by-step explanation:
The area of the rectangular space = 70 sq ft.
The length of the rectangular space = 14 ft
The width of the rectangular space - m ft
Now, AREA OF THE RECTANGLE = LENGTH x WIDTH
⇒ 70 sq ft. = 14 ft x m ft
or, m = 70 / 14 = 5 ft
or, m = 5 ft
Hence the width of the rectangular space = 5 ft.
Dr. Banks had 330 toothbrushes to give away to his patients.
He gave away 53 toothbrushes in January. He gave away 67
toothbrushes in February. In March he gave away 46
toothbrushes. How many toothbrushes does he have left?
Answer:
Dr. Banks Has 164 toothbrushes left to give away or to keep :)
Step-by-step explanation:
subtract 330-53-67-46= 164! Please mark brainliest :)
Answer:
164
Step-by-step explanation:
he had 330 toothbrushes
he gave away 53+67+46
which means he gave away
166 toothbrushes
so we subtract the toothbrushes that he had and the toothbrushes that he gave away.
330-166=164
Two times a number, plus five, equals the number, minus five.
Find the number and type it in the box.
Answer:
Answer:
x= -5
Step-by-step explanation:
let the number be x.
2x+5= -5 ====> equation
2x= -5-5. (shifted the +5 to the other side)
2x= -10
x= -10/2 ( shifted 2 on the other side as it was multiplying with x)
x= -5
Final answer:
To solve the equation 'two times a number, plus five, equals the number, minus five,' we set up and simplify the algebraic equation 2x + 5 = x - 5, which ultimately gives us the number x = -10.
Explanation:
The problem states that two times a number, plus five, equals the number, minus five. To find the number, we can set up the equation 2x + 5 = x - 5, where x represents the number we're trying to find.
Step 1: Start by subtracting x from both sides of the equation to get all the x terms on one side and the constant terms on the other side. The equation then becomes: 2x - x + 5 = x - x - 5, simplifying to x + 5 = -5.Step 2: Next, we subtract 5 from both sides of the equation to solve for x: x + 5 - 5 = -5 - 5, which simplifies to x = -10.Therefore, the number we were trying to find is -10.
A number increased by 3 is 19
Answer:
The number would be 16.
Step-by-step explanation:
If you have a specific number of apples, and then pluck 3 more, you have 19. So this can be modeled as 19-3, which gives you the original
Answer: 16
steps: 19-3=16
Hope this helps u :)
Rewrite the following multiplication problem using the associative property and then show that both results will be the same. (1/2)x(2/3)x(4/5)
Answer(1/2)x(2/3)x(4/5)
(1/2x2/3)x(4/5)
(1 1/4x2 1/2)
2 3/4
Step-by-step explanation:
(1/2)x(2/3x4/5)
(1/2x1 3/4)
2 3/4
sec squared 55 - tan squared 55
Answer:
sec squared 55 – tan squared 55 = 1
Explanation:
Given, sec square 55 – tan squared 55
We know that,
[tex]\sec \Theta=\frac{\text {hypotenuse}}{\text {base}}[/tex]
And,
[tex]\tan \theta=\frac{\text { perpendicular }}{\text { base }}[/tex]
where Ө is the angle
Substituting the values
[tex]\left(\frac{\text {hypotenuse}}{\text {base}}\right)^{2}-\left(\frac{\text { perpendicular }}{\text {base}}\right)^{2}[/tex]
Solving,
[tex]\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}[/tex]
According to Pythagoras theorem,
[tex]\text { (hypotenuse) }^{2}-\text { (perpendicular) }^{2}=(\text { base })^{2}[/tex]
Putting this in the equation;
squared 55 - tan squared 55 =
[tex]\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}=\frac{(\text {base})^{2}}{(\text {base}) *(\text {base})}=1[/tex]
Therefore, sec squared 55 – tan squared 55 = 1
The value is always 1.
To solve the expression sec²(55°) - tan²(55°), we can use a trigonometric identity. Recall the Pythagorean identity for tangent and secant:
sec²(θ) - tan²(θ) = 1
Using this identity, we substitute θ with 55°:
sec²(55°) - tan²(55°) = 1This simplifies our expression immediately, as the value is always 1 regardless of the angle, as long as the identity holds.
So, sec²(55°) - tan²(55°) = 1.
50 points! A polynomial has been factored below, but some constants are missing. 2x^3 - 8x^2 - 24x = ax (x+b)(x+c) What are the missing values of a, b, and c?
The missing values are [tex]\( a = 2 \), \( b = 0 \), and \( c = -24 \),[/tex] yielding the factored form [tex]\( 2x(x - 24) \).[/tex]
To find the missing values of[tex]\( a \), \( b \), and \( c \)[/tex], we need to expand the polynomial [tex]\( (x+b)(x+c) \)[/tex]and equate it to [tex]\( 2x^3 - 8x^2 - 24x \).[/tex]
Expanding [tex]\( (x+b)(x+c) \),[/tex] we get:
[tex]\[ (x+b)(x+c) = x^2 + (b+c)x + bc \][/tex]
Comparing this to [tex]\( 2x^3 - 8x^2 - 24x \),[/tex]we see that:
[tex]\[ x^2 + (b+c)x + bc = 2x^3 - 8x^2 - 24x \][/tex]
We need to match the coefficients of corresponding terms on both sides of the equation.
From the equation above, we can equate coefficients:
1. Coefficient of [tex]\( x^3 \): \( 2 = 0 \)[/tex] (there is no [tex]\( x^3 \)[/tex] term on the right side).
2. Coefficient of [tex]\( x^2 \): \( 1 = -8 \) (from \( x^2 \) term)[/tex].
3. Coefficient of [tex]\( x \): \( b + c = -24 \) (from \( x \) term).[/tex]
4. Constant term: [tex]\( bc = 0 \)[/tex] (there is no constant term on the right side).
From the last equation, we know that either [tex]\( b \) or \( c \)[/tex]must be zero, or both.
If one of them is zero, then the other must be equal to [tex]\( -24 \)[/tex] for the equation [tex]\( b + c = -24 \)[/tex] to hold true.
Now, we can test some values to satisfy these equations:
1. If [tex]\( b = 0 \)[/tex]
[tex]\[ c = -24 \][/tex]
2. If [tex]\( c = 0 \):[/tex]
[tex]\[ b = -24 \][/tex]
3. If both [tex]\( b \) and \( c \)[/tex]are non-zero:
We can solve the equation [tex]\( b + c = -24 \)[/tex] for various values of [tex]\( b \) and \( c \).[/tex]
Therefore, possible combinations are:
1.[tex]\( a = 2 \), \( b = 0 \), \( c = -24 \)[/tex]
2.[tex]\( a = 2 \), \( b = -24 \), \( c = 0 \)[/tex]
3.[tex]\( a = 2 \), \( b = -12 \), \( c = -12 \)[/tex]
So, the possible missing values are:
1. [tex]\( a = 2 \), \( b = 0 \), \( c = -24 \)[/tex]
2. [tex]\( a = 2 \), \( b = -24 \), \( c = 0 \)[/tex]
3.[tex]\( a = 2 \), \( b = -12 \), \( c = -12 \)[/tex]
why did Gyro go into a bakery
Picture is posted as and attachnent
We can see here that the reason Gyro went into a bakery was For The Smell Of It.
What is bakery?A bakery is a place where baked goods, such as bread, pastries, cakes, cookies, pies, and other related items, are produced and sold. It is an establishment where baking and the preparation of baked products take place.
Bakeries play a significant role in providing staple food items and indulgent treats, and they contribute to culinary traditions and cultures worldwide. They vary in size and style, ranging from small neighborhood bakeries to larger commercial or industrial operations.
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Mary and Lamar establish a tutoring service at a local mall. They tutor college students in math and English. They charge $40 per hour for tutoring. In the month of January they charged for 200 tutoring hours. The expenses of their business are given in the table below. Expense Amount/Month Rent of Space $4000 Electricity $325 Advertising $375 Using the formula Profit = $40(number of hours) – (expenses) , calculate their profit for the month of January.
The profit is $3300 for the month of January.
Step-by-step explanation:
Per hour charge = $40
Total number of tutoring hours = 200
Rent of space = $4000
Electricity = $325
Advertising = $375
Total expenses = 4000+325+375 = $4700
Profit = $40(number of hours) - (expenses)
[tex]Profit=\$40(200)-4700\\Profit=\$8000-4700\\Profit=\$3300[/tex]
The profit is $3300 for the month of January.
Keywords: profit, addition
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50 POINTS WILL GIVE BRANLIEST - Can a function be both increasing and decreasing?
Answer:
i think yes it can
Step-by-step explanation:
Answer:
every function is vacuuously both increasing and decreasing at every point because there are no x<y in the "interval" than for all (all zeor of them) x<y we have f(x)≤f(y).
Step-by-step explanation:
What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?
Answer:
9.63
Step-by-step explanation:
The absolute value of 64
Answer: 64
Step-by-step explanation:
the absolute value of a positive number is that number , the absolute value of a negative number is that numbers opposite .
The absolute value is a concept in mathematics that signifies the magnitude of a number, disregarding its positive or negative sign. The absolute value of a number refers to its magnitude, regardless of its sign. Thus, the absolute value of 64 is itself, which is 64.
Explanation:The absolute value is a concept in mathematics that signifies the magnitude of a number, disregarding its positive or negative sign. Think of it as a number's distance from zero. Considering your question, the absolute value of 64 is simply 64. This is because 64 is already a positive number, and the absolute value of a positive number is the number itself.
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Which is greater 3/5 or 23%
Answer:
3/5 is greater because when you convert it into decimal it's 0.6 and when you convert 23% into decimal it's 0.23
What is the value of x in the equation 5 - 3x = -7 ?
The value of x in the equation 5 - 3x = - 7 is 4.
The simple algebraic expression consists of numbers and variables. The objective is to determine the value of x in this expression.
From the given information;
5 - 3x = - 7-3x = -7 - 5-3x = -12Multiply both sides by (-)
3x = 12Divide both sides by 3
[tex]\mathbf{\dfrac{3x}{3} = \dfrac{12}{3}}[/tex]
x = 4
Therefore, the value of x in the equation 5 - 3x = -7 is 4.
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Final answer:
The value of x in the equation 5 - 3x = -7 is found to be x = 4 after isolating x through subtraction and division.
Explanation:
To solve the equation 5 - 3x = -7, we need to isolate x. Let's move through the steps together:
Subtract 5 from both sides of the equation to get: -3x = -7 - 5.Simplify the right side of the equation: -3x = -12.Divide both sides of the equation by -3 to isolate x: x = -12 / -3.Therefore, x = 4.The value of x in the equation is 4.
During a walkathon, Team A walked a total of 6x+12 miles and Team B walks a total of 4x-7 miles. What is the difference in miles between the two teams?
A) 2x-5
B) 2x+5
C)2x-19
D)2x+19
Please show work so I can understand the question Thanks!
The right answer is Option D.
Step-by-step explanation:
Distance of Team A = 6x+12
Distance of Team B = 4x-7
Difference between two teams means subtraction, therefore, subtracting the distance of Team B from Team A;
[tex](6x+12)-(4x-7)\\6x+12-4x+7[/tex]
Combining alike terms;
[tex]6x-4x+12+7\\2x+19[/tex]
The difference between two teams is 2x+19.
The right answer is Option D.
Keywords: subtraction
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Answer:
Step-by-step explanation:
Distance of Team A = 6x+12
Distance of Team B = 4x-7
Combining alike terms;
6x-4x+12+7
6x-4x=2x
12+7=19
2x+19
The difference between two teams is 2x+19.
The right answer is Option D.
i am confused on how to order them
Answer:
The order is as follows:
30, 44, 106
Step-by-step explanation:
Sum of all the three sides = 180°
⇒ (2y + 6)° + (y + 32)° + (8y + 10)° = 180°
⇒ 11y + 48 = 180°
⇒ 11y = 132
⇒ y = 12
Therefore, The angles become 30°, 44° and 106°
They are in the increasing order as well.
3p^4(4p+7p+4p+1)
????????
HEY DEAR
Answer:
45p^5 + 3p^4
step by step explanation:-
3p^4( 4p+7p+4p+1)
3p^4 (11p + 4p) +1
3p^4 (15 p +1)
multiplying 3p^4 to both 15p and 1 we get:-
3p^4× 15p +3p^4× 1
=45p^5 +3p^4
HOPE ITS HELPFULL
Question 5 - Give your answer in its simplest form
Answer:
7.5 cm²
Step-by-step explanation:
Note that [tex]\sqrt{120}[/tex] = [tex]\sqrt{4(30)}[/tex] = 2[tex]\sqrt{30}[/tex]
Thus the side s of the square = 2[tex]\sqrt{30}[/tex] ÷ 4 = 0.5[tex]\sqrt{30}[/tex]
Hence
A = s² = (0.5[tex]\sqrt{30}[/tex])² = 0.25 × 30 = 7.5
Write a word problem using 7 groups. Solve your problem?
A real-world problem using 7 groups can be illustrated like a builder constructing 7 buildings each requiring 15 bricks per day. Multiplying these, 7 times 15 gives us 105, which is the total number of bricks needed each day.
Explanation:Consider a scenario where a builder is constructing 7 buildings. Each building needs 15 bricks per day for construction. We can therefore write a multiplication problem to find out how many total bricks are needed each day.
So, 7 (groups of buildings) multiplied by 15 (bricks per building) equals a total daily brick requirement. To solve this, you simply multiply 7 by 15 which equals 105 bricks needed each day.
This is a simple real-world problem to help understand the concept of multiplication as repeated addition. Here, you're adding 15 bricks 7 times since there are 7 buildings.
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Find the lateral area and surface area of the solid. Use the 2.5 by 2.5 square as the base. Round to the nearest tenth if necessary.
I am unable to add a photo, the base is: 5.5ft, 5.5ft, and the height is 10ft.
Choices:
L = 220ft2 ; S = 302.5 ft2
L = 280.5 ft 2 ; S = 220ft2
L = 170.5 ft2 ; S = 280.5ft2
L = 220ft 2 ; S = 280.5 ft2
Answer:
Part 1) [tex]LA=220\ ft^2[/tex]
Part 2) [tex]SA=280.5\ ft^2[/tex]
L = 220 ft2 ; S = 280.5 ft2
Step-by-step explanation:
The correct question is
Find the lateral area and surface area of a rectangular prism. The base is a square 5.5 ft by 5.5 ft, and the height is 10 ft
Part 1) Find the lateral area
The lateral area of a rectangular prism is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base
h is the height of the prism
we have
[tex]P=4(5.5)=22\ ft[/tex] ---> the perimeter of a square
[tex]h=10\ ft[/tex] ---> is given
substitute
[tex]LA=22(10)=220\ ft^2[/tex]
Part 2) Find the surface area
The surface area of a rectangular prism is equal to
[tex]SA=2B+LA[/tex]
where
LA is the lateral area
B is the area of the base
we have
[tex]LA=220\ ft^2[/tex]
[tex]B=5.5^2=30.25\ ft^2[/tex] ----> area of a square
substitute
[tex]SA=2(30.25)+220=280.5\ ft^2[/tex]
Answer:
D. L = 220 ; S = 280.5
Step-by-step explanation:
Solve the inequality $-4x > -24.$ Give your answer in interval notation.
Final answer:
To solve the inequality -4x > -24, divide both sides by -4 and flip the inequality sign to obtain x < 6. The solution in interval notation is (-∞, 6).
Explanation:
To solve the inequality -4x > -24, we can divide both sides of the inequality by -4. Remember, when dividing or multiplying both sides of an inequality by a negative number, the inequality sign flips. So, the inequality becomes:
x < 6
The solution in interval notation is (-∞, 6).
Final answer:
The solution is x < 6, which is represented as (-∞, 6) in interval notation.
Explanation:
To solve the inequality -4x > -24, we can start by dividing both sides by -4.
Divide both sides of the inequality by -4. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes.
However, when dividing an inequality by a negative number, the direction of the inequality sign must be flipped. So we have x < 6.
Since the inequality sign is less than, the solution set is all values of x that are less than 6. In interval notation, this is represented as (-∞, 6).
find the value of a and b
a^2 + b^2 = 400
Answer:
Step-by-step explanation:
a^2+b^2=400
a^2=400-b^2
a=sqrt(400-b^2) & -sqrt(400-b^2)
-----------------------------------------------
b^2=400-a^2
b=sqrt(400-a^2) & -sqrt(400-a^2)
Answer:
20
Step-by-step explanation:
write an equation in point slope form (4,2) m=7
Answer:
y=7x-26
Step-by-step explanation:
at 2:30 a.m. the temperature in joelle is – 3f. the temperature drops 3/4 of a degree in 30 minutes. what is the temperature in joelle at 3:00 a.m.?
The temperature in joelle at 3:00 a.m. will be -3.75F
Step-by-step explanation:
Given that the temperature was -3F at 2:30 am
Temperature drops by 3/4 of a degree in 30 minutes
3/4 of a degree = 0.75 F
Time difference between 2:30 am and 3:00 am is 30 minutes
Temperature at 3:00 will be;
-3F -0.75 F = -3.75 F
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Please answer this correctly
Answer: 30 minutes
Step-by-step explanation:
Start time: 25 minutes to noon means 25 minutes before* noon. End time: 5 minutes past noon means 5 minutes after* noon.
25mins
+5mins
______
30mins
7 chickens lay 35 eggs how many eggs will be laid by 40 chickens
Answer:
8
Step-by-step explanation:
By fives go up 1 number for eggs
the ratio of black bags to blue bags is 5 to 3 if there are a total of 10 black bags then how many blue bags are there
Answer:
6
Step-by-step explanation:
3 times 2
Is 6 and 5 times 2 is 10
Final answer:
To find the number of blue bags, we calculate based on the 5 to 3 ratio with 10 black bags. Each part corresponds to 2 bags, hence there are 6 blue bags.
Explanation:
The question concerns the calculation of the quantity of blue bags based on a given ratio to the quantity of black bags. If the ratio of black bags to blue bags is 5 to 3, and there are a total of 10 black bags, then we can set up a proportion to find the number of blue bags.
To solve this, we assume the number of black bags (5 parts) equals 10, which means each part corresponds to 10 / 5 = 2 bags. Since there are 3 parts of blue bags in the ratio, we then multiply the number of bags per part by 3 (the number of blue parts), which gives us 3 * 2 = 6 blue bags.
please help with the question below!
Answer:
C
Step-by-step explanation:
I don't know exactly why it is C, but I know it isn't the other ones.
(I realize this is not a very concrete answer and it may be wrong, but good luck!)