Answer:
(22, 7)
Step-by-step explanation:
Let x and y be the unknown two numbers.
x+y=29
x-y=15
----------
2x=44
x=44/2
x=22
----------
22+y=29
y=29-22=7
x=22, y=7.
(4x squared) to the third power
Answer:
64x⁶
Step-by-step explanation:
(4x²)³
= 4³(x²)³ <=the third power applies to both of the terms in the bracket
= 64x⁶ <=simplify
(x²)³ = x⁶ because when powers are raised to a power, they multiply.
(x²)³ = x²⁽³⁾ = x⁶
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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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.
write an equation in point slope form (4,2) m=7
Answer:
y=7x-26
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).
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
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 :)
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.
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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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:
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
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:
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
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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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.
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.
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.
A community hall is in the shape of a cuboid.
tile:
The hall is 40 m long, 15m wide and
3 m high.
3 m
total
The community hall needs re-decorating
with new paint for the walls and ceiling,
and new tiles on the floor.
15 m
40 m
A 10 litre tin of paint covers
1 m2 floor tiles cost £3 each.
Work out the total cost of
to re-decorate the community hall.
Answer:
The total cost of to re-decorate the community hall is £2172.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Are of Walls and Ceiling = [tex]2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2[/tex]
Therefore, the area of walls and ceiling is 930 square meters.
Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,
Total Painting cost = [tex]10 \times \frac{930}{25} = \£372[/tex]
Therefore, the total painting cost of wall is £372.
Tiles will be required for floor. Let us find the area of floor.
Area of floor = [tex]l \times b = 40\times15 =600m^2[/tex]
Given: 1m squared floor tiles costs £3. So,
Total Cost for tiles = [tex]3\times600= \£1800[/tex]
Therefore, the total cost for tiles is £1800.
Now let us find total cost of to re-decorate the community hall;
Total Cost = the total painting cost of wall + the total cost for tiles = [tex]\£1800+\£372= \£2172[/tex]
Hence, the total cost of to re-decorate the community hall £2172.
To redecorate the community hall, the cost for tiling the floor will be £4500, and the cost for painting will depend on the price per tin, with a total of 93 tins needed to cover 930m².
Explanation:To calculate the total cost of re-decorating the community hall, we need to find the areas that need painting and tiling. Since the hall is a cuboid, the paintable area includes the four walls and the ceiling. The floor requires tiling.
The combined area of the four walls can be found by calculating the perimeter of the base, which is the sum of all sides ((2 × length) + (2 × width)), and then multiplying by the height. The ceiling is simply the length multiplied by the width.
Here is how to calculate the areas and costs:
Therefore, the cost for tiling the floor will be £4500, and the cost for painting will be 93 tins (if each tin is assumed to cost a certain amount, which is not specified in the question).
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
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
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
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:
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
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.
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.
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!)
How much can 7 go to 57
Answer:
8 times
Step-by-step explanation:
57/7=8.1428571428... round down to the nearest whole number.
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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The center of a circle is located at (3.8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle?
Answer:
The general equation of a circle is x² + y² - 6x - 16y + 48 = 0
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)