Answer:
21
Step-by-step explanation:
You can write this question out with two separate formulas, the first one being H - 5 = T, and the second being H + T = 57. I am using the variables of H and T to show the ages of Hulian and Thomas respectively. From here, we can use the substitution formula since we already know what T is equal to (H - 5). Substituting the equation in, we get a new equation of H + (H + 5) = 57. Subtracting 5 from both sides gives us the equation of H + H = 52, or 2H = 52. Dividing by 2 yields the answer of 26 for Hulian's age. Since we know that Hulian is 5 years older than Thomas, we can subtract 5 from 26, giving us Thomas' age, which is 21.
Answer:
23.5
Step-by-step explanation:
=57/2
=28.5-5
=23.5
thomas is 23 years and 6 months old
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement. Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater. The sample space of possible outcomes is listed below. A represents an ace, and K represents a king.
Required:
Who is correct, Amy or Samiha?
Answer:
Amy
Step-by-step explanation:
The factory needs to stamp 4,320 parts. How many minutes will it take all 4 stamping machines to stamp 4,320 parts.
A. 10 minutes
B. 15 minutes
C. 45 minutes
D. 60 minutes
Answer: 15 minutes
Step-by-step explanation:
4 stamping machines in factory
1 stamping machine = 24 parts every 20 seconds
4 stamping machines = 96 every 20 seconds
4 stamping machine = 288 stamps per minute
4320 stamps divided by 288 cuts = 15 minutes
Help me with this please
Answer:
volume of a rectangular prism (v) = 64 cm³
Length (l) = 8 cm
width (w) = 4 cm
height (h) = ?
volume of a rectangular prism = Length × width × height
[tex]v = lwh \\ \\ h = \frac{v}{lw} \\ \\ h = \frac{64 \: {cm}^{3} }{8 \: cm \times 4 \: cm} = \frac{64 \: {cm}^{3} }{32 \: {cm}^{2} } \\ \\ \\ h = 2 \: cm[/tex]
I hope I helped you^_^
Find the Lowest Common Multiple (LCM) of 55 and 77.
Answer:
→ 55 = 5 × 11→ 77 = 7 × 11Now, the Lowest Common Multiple (LCM) of 55 & 77 is :
5 × 7 × 11 = 385385 is the right answer.Someone please help me
Answer: Pretty sure it's A
Step-by-step explanation: If you find the square root of 282 you get 16.7
Answer:
It is A
Step-by-step explanation:
It is A because you need to take the square roots of every number the square root of 282 is 16.7985562
(W^2/x -3) / 10 •z when w=-6,x=1.2, and z = -6 /7
Answer:
21=121-2=11
Step-by-step explanation:
do step by step.
A man placed $10,600 in a fixed deposit for 8 years at 6% per annum.
a) Calculate the total amount received at the end of the period under simple interest.
b) Determine the total amount received at the end of the period under compound interest.
c) State the difference in the interest received
Answer:
and hello
okkkkkkkkkkkkkkkkkkkkkkkkkkk
What percent of 362.5 is 145?
Answer:
40%
Step-by-step explanation:
362.5 = 100% (1).
x = 40% (2).
(362.5%)/(x%) = 100/40
x%/362.5% = 40/100
x = 145
Hope this helps.
Hi everyone, stay safe, I need help on this, it’s about Triangles.
Answer:
Right scalene triangle
Acute equilateral triangle
Step-by-step explanation:
For the first triangle, we will use the Converse of the Pythagorean Theorem:
If c² < a² + b², then it means that it is an acute triangle.
If c² = a² + b², then it means that it is a right triangle.
If c² > a² + b², then it means that it is an obtuse triangle.
For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd
c² = a² + b²
25² = 7² + 24²
625 = 49 + 576
625 = 625 (True statement).
Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle. Therefore, the first triangle is an example of a right scalene triangle.
For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.
Let's see which type of triangle it is according to its sides:
c² = a² + b²
32² = 32² + 32²
1024 < 2048
Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.
Please mark my answers as the Brainliest if you find this helpful :)
Please can someone help much appreciated .
Answer:
23/6
Step-by-step explanation:
23
6
HELP ASAP (MAX PTS) ILL GIVE BRAINLIEST
Domain is the x values and range is the y values.
Domain: (-5,-4, 0,1,3,4)
Range: ( 0,1,2,3,5)
Which of the following statements are true?
A) If two angles form a linear pair, then the angles are supplementary.
B) If two angles are right angles, then the angles are complementary.
C) If two angles have the same measure, then the angles are congruent.
D) If two angles are supplementary, then the angles are acute.
Answer:
There are two statements that are correct, A and C.
What is the volume of the figure?
Answer: 1134 inches cubed
angle W and angle Y are supplementary. If
the measure of angle W = 5x + 20 and the measure of angle Y = 4x - 11, find the measure of angle W
and Y
Answer: angle of w is 115 degrees and angle of y is 65 degrees.
Step-by-step explanation: in the picture.
Answer:
Angle W = 115° Angle Y = 65°angle W and angle y are supplementary
that is angle W + angle Y = 180°
angle w = 5x + 20
angle y = 4x - 11
putting this value in above equation
we get
5x + 20 + 4x - 11 = 180
5x + 4x + 20 - 11 = 180.
9x + 9 = 180
9x = 180 - 9
9x = 171
x = 19
angle W= 5x + 20
= 5(19)+ 20
= 95 + 20
= 115°
angle y = 4x - 11
= 4(19) - 11
= 76 - 11
= 65
Question 3 (Percentage)
3.1.
(2)
A student answered 45 problems on a test correctly and received a
grade 90%. How many problems were on the test, if all the problems were worth the same number
were worth the same number of marks? (Round to the nearest whole
number)
Explain what is the difference between fractions and percentages
and also state the relationship they have with each other
3.2.
(3)
3.3
(5)
40% of the 7920 visitors to an amusement park were children. 25% of
these children and 1/3 of the adults were repeat visitors. How many
percent of the visitors were visiting the amusement park for the first
time?
3.4
(4)
Percentage is not taught in foundation phase level. However, a
primary school has both foundation phase and intermediate phase.
If you were to be asked to teach a grade 4 level to substitute for an
absent teacher who was supposed to introduce the concept of
percentage to the grade 4 class using the topic already taught in
foundation phase. Give a brief description on how you will introduce
the concept of percentage using diagrams,
Te to search
13°C Rain showers
Answer:
A student answered 45 problems on a test correctly and received a
grade 90%. How many problems were on the test, if all the problems were worth the same number
were worth the same number of marks? (Round to the nearest whole
number)
100/90 * 45 = 50
-------------------------------------------------------------------------------------------------------------
Explain what is the difference between fractions and percentages
and also state the relationship they have with each other
The numbers which are decimals by nature can be represented in the form of fractions. For example, 0.5 can also be written as 5/10. ... Percentages refer to decimal numbers to the base 100. These are represented by a % (percent sign).Since a percent is a ratio a ratio can be written as a fraction. This means any of these forms can be converted to any of the others.
-----------------------------------------------------------------------------------------------------------
40% of the 7920 visitors to an amusement park were children. 25% of these children and 1/3 of the adults were repeat visitors. How many percent of the visitors were visiting the amusement park for the first time?
Total number of visitors = 7920
Find the number of children:
Children = 40% of 7920
Children = 0.4 x 7920
Children = 3168
Find the number of adults:
Adult = 7920 - 3168 = 4752
Find the number of repeated visitors that are children:
Repeated visitors = 25% x 3168
Repeated visitors = 0.25 x 3168
Repeated visitors = 792
Find the number of children that are visiting for the first time:
First time visitors = 3168 - 792 = 2376
Find the number of repeated visitors that are adult:
Repeated visitors = 1/3 x 4752
Repeated visitors = 1584
Find the number of adults that are visiting for the first time:
First time visitors = 4752 - 1584 = 3168
Find the total number of first time visitors:
Total number of first time visitors = 3168 + 2376 = 5544
Answer: There are 5544 visitors that are visiting for the first time
Subtract 5x−2 from −3x+4 .
2x + 2
−8x+6
8x−6
−8x+2
Answer: -8x +6
Step-by-step explanation:
- 3x +4 - (5x -2)
-3x +4 - 5x + 2
-8x + 6
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Answer:
-8x-6
Step-by-step explanation:
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1x a other b
Step-by-step explanation:
simple
The equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .
What are linear expression ?A linear expression only has one or two variables. No variables in a linear expression is raised to power greater than 1 or used as denominator of a fraction.
Now the given expressions are,
7x - 2(1.3x + 3.5) = 5.4x - 7 ....(i)
and,
8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .....(ii)
Taking equation (i)
7x - 2(1.3x + 3.5) = 5.4x - 7
So, LHS = 7x - 2(1.3x + 3.5)
⇒ LHS = 7x - 2.6x + 7
or, LHS = 5.4x + 7
⇒ LHS = RHS
So these expressions are equivalent.
Taking equation (ii),
8 - 4(-2.2x + 1.1) = 8.8x + 12.4
So, LHS = 8 - 4(-2.2x + 1.1)
⇒ LHS = 8 - 8.8x - 4.4
⇒ LHS = -0.8x - 4.4
⇒ LHS ≠ RHS
So these expressions are not equivalent.
Thus, the equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4.
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A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
Radius?
Height?
Minimum cost?
Answer:
Step-by-step explanation:556
If i= -1, what is the value of i3?
O-1
Ο i
O 1
O -i
Answer:
I dont think this question is formated correctly. i does not equal to -1. However, If you are wondering about i^-3. it is -i. Otherwords it is D. Hope this helped.
Which of the following sets are infinite sets? (Brainliest - please explain how you got the answer)
Answer:
A and DStep-by-step explanation:
A. This is infinite set as there are infinite number of multiples of 50775. YesB. Number of subsets is infinite but a set is a finite. NoC. This set is finite as the number of animals is restricted. NoD. This set is infinite as includes numbers > 119671. YesE. This is a finite set as restricted to 262597. NoFind f(-2) for
the function
below.
f(x) = 1/8 x 5^x
Answer:
f(-2) = 0.005
Step-by-step explanation:
f(x) = 1/8 x 5^x
f(-2) = When x in the function of f(x) is -2.
f(-2) = 1/8 x 5^-2
f(-2) = 1/8 x 0.04
f(-2) = 0.005
Check (24, 144, 145) is a Pythagorean triplet
Answer:
Step-by-step explanation:
The given triplets are (16,63,65) . Let us assume 16 as the smallest even number, then it should be equivalent to 2m . From the above result we can say that triples (16,63,65) is a Pythagorean triplet. The given triplets are (24,144,145)
can somebody help me solve this question. I have no idea ;(
Answer:
sorry need ko po ng points
Elliott states that he absolute value and opposite of a number are the same thing. Is Elliott correct? Explain.
Answer:
Elliot is incorrect
Step-by-step explanation:
Let's take an example: 2
Absolute value of 2 = |2| = 2
But the opposite of 2 = -(2) = -2
But 2 ≠ 2, so Elliott is incorrect.
The opposite of a number changes the sign from - to +, or + to -. Absolute value changes the sign of a number from - to + and keeps + as +.
-Chetan K
Answer:
No
Step-by-step explanation:
The absolute value of a number is the distance from 0. Distance is always positive, so the absolute value of a number is that number but positive. Thus, the absolute value of |2| is still 2. However, the opposite of a number is that number on the opposite side of 0. Therefore, the opposite of 2 is -2. To find the opposite of a number just flip the sign.
So, these are different because the absolute value is always positive while the opposite can be either sign.
Hi, What is the area of this please?
Answer: 270 inches squared
Help help please need homework
Answer:
√36<√26>√25
Step-by-step explanation:
please mark me as brainlest
Rlly important, is this the correct length?
Answer: yes
Step-by-step explanation: 14*12*5=840
the formula for volume is Lenght*widht*height
A box contains 5 red marbles, 6 white marbles, and 8 blue. If a Marble is randomly selected from the box, what is the likely hood that it is white? Express it in a fraction.
Find the dimensions of a rectangle whose perimeter is 30 meters and whose area is 56 square meters.
Answer: 8 and 7
Step-by-step explanation:
8 multiplied by 7 equals 56
8+8+7+7 equals 30 which is the perimeter
:)
The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.
What do we mean by the area of a surface?The area of a surface is the total space occupied by the two-dimensional cross-section.
What do we mean by the perimeter of an object?The perimeter of an object is the total length of its boundary.
How do we solve the given question?We are asked to find the dimensions of a rectangle whose perimeter is 30 meters and whose area is 56 square meters.
Let the length and breadth of the rectangle be l meters and b meters respectively.
We know that,
Perimeter of a rectangle = 2(length + breadth) = 2(l + b)
∴ 30 = 2(l + b)
or, 2(l + b) = 30
or, l + b = 15
or, b = 15 - l ...(i)
We know that,
Area of a rectangle = length*breadth = l*b
∴ 56 = l*b
or, l*b = 56
Substituting the value of b = 15 - l from (i) in the above equation, we get:
l(15 - l) = 56
or, 15l - l² = 56
or, l² - 15l + 56 = 0
or, l² - 8l - 7l + 56 = 0
or, l(l - 8) -7(l - 8) = 0
or, (l - 7)(l - 8) = 0
By zero-product law,
Either l - 7 = 0 ⇒ l = 7
Or, l - 8 = 0 ⇒ l = 8.
Substituting these values of l in (i),
b = 15 - l
∴ Either, b = 15 - 7 = 8
Or, b = 15 - 8 = 7.
In both cases, the dimensions of the rectangle are 7, and 8.
∴ The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.
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Please help ASAP
I really have no clue what I’m supposed to do so please help me!!
Answer:
below
Step-by-step explanation:
Each column represent the number of packages of pencils and the total number of pencils you would have.
So column 1 says 1/2 package of pencils and there are 24 pencils in that package so you have 12 pencils total not 24 like it says.
Column 2 says 1 package of pencils. Since there are 24 pencils in a package, now you would have 24 pencils total.
Column 3 says 3 packages. 3 x 24 = 72 pencils total
Column 4 says 4 packages. 4 x 24 = 96 pencils total
Colum 5 says 6 1/2 packages. 6 x 24 = 144 and you know 1/2 of a package equals 12. So 144 + 12 = 156 total pencils.