The sum of all the positive two-digit integers where one of the digits is three times the other is 630.
To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.
For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.
For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.
The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.
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In parallelogram IJKL, what is the measure of angle K?
Answer:
<K = 67degrees
Step-by-step explanation:
From the parallelogram given, the opposite angles are equal i.e <L = <J
Given
<L = 5x + 18
<J = 7x - 20
Equating both sides
5x + 18 = 7x - 20
Collect the like terms
5x - 7x = -20 -18
-2x = -38
x = 38/2
x = 19
Also <J + <K = 180
7x - 20 + <K = 180
7(19) - 20 + <K = 180
133 - 20 + <K = 180
113 + <K = 180
<K = 180 - 113
<K = 67degrees
Item 8 You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate? The annual interest rate is %.
Answer:
6%
Step-by-step explanation:
$18/9=$2 interest per month
$2 x 12 = $24 annual interest.
24/400=6%
6 the standard deviation of human body temperatures is equal to 0. 62 F. Identify the null hypothesis and alternative hypothesis in symbolic form
The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.
What are null and alternative hypotheses?Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.
A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.
H₀: σ = 0.62
H₁: σ ≠ 0.62
The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.
The alternative hypothesis exists that it does not equivalent 0.62.
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Sarah's teacher wrote this expression on the whiteboard. Where could she place brackets in the expression for it to be equal to 36?
Answer:
A. 24 ÷ [6 − 2] × 5 + 6
Step-by-step explanation:
Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]
Rule of operations
BODMAS
B = Bracket
O = 0f
D = Division
M = Multiplication
A = Addition
S = Subtraction.
Check all options
A. 24 ÷ [6 − 2] × 5 + 6
= 24 ÷ (4) × 5 + 6
= 6 × 5 + 6
= 30 + 6
= 36
B. 24 ÷ 6 − [2 × 5 + 6]
= 4 - (10 + 6)
= 4 - 10 + 6
= 0
C. [24 ÷ 6] − 2 × 5 + 6
= 4 - 10 + 6
= 0
D. 24 ÷ 6 − 2 × [5 + 6]
= 4 - 2(11)
= 4 - 22
= -18
Option A is the correct answer
A prism with length of 3 units, height of 3 and one-fourth units, and width of 1 unit.
What is the volume of the prism?
whole-unit cubes fit inside the prism.
quarter-cubic units fit inside the prism.
The total volume of the prism is
units3
Answer:
9 3/4 cubic units
Step-by-step explanation:
The formula for the volume of a rectangular prism =
Length × Width × Height
From the question:
Length = 3 units
Height = 3 1/4 units
Width = 1 unit.
Volume of the prism =
3 units × 3 1/4 units × 1 unit
= (3 × 13/4 × 1 )cubic units
= 39/4 cubic units
= 9 3/4 cubic units
The total volume of the rectangular prism = 9 3/4 cubic units
Answer:
✔ 9
whole-unit cubes fit inside the prism.
✔ 3
quarter-cubic units fit inside the prism.
The total volume of the prism is
✔ 9 3/4 units3.
Directions:Identify the area of the shaded region of the following composite figures.
who can help me with this question Determine if each figure is a polygon or non-polygon. *
Answer:
A polygon is a two-dimensional closed figure that has three or more straight sides. Any figure with straight edges, such as a triangle or rectangle, is a polygon. Figures that have any curved sides or open sides are not classed as polygons
Step-by-step explanation:
A regular polygon is a polygon where all of the side lengths are equal and all of the angle measures are equal. ... However, the sides are not congruent. Therefore, it is an irregular pentagon. Irregular polygons have side lengths that are not congruent.
there's no pic that helps determine which is which but I hope this explanations helps you.
Mona's math certificate is 10 inches tall and 14 inches wide. Mona wants to put the certificate in a fancy frame that costs $1.02 per inch. How much will it cost to frame Mona's math certificate?
Answer:
$48.96
Step-by-step explanation:
Given data
Length= 10inches
Width=14 inches
Let us find the perimeter of the certificate
P=2L+2W
P= 2*10+2*14
P=20+28
P= 48 inches
Hence if 1 inche cost $1.02
Then 48 inches will cost x
cross multiply we
x= 48*1.02
x= $48.96
Hence it will cost $48.96 to frame the certificate
Jeff bought a 5-gallon bucket of paint. He used 1.25 gallons to paint his bedroom, then he used two-thirds of the remaining paint for his living room. How many gallons of paint did he use to paint his living room?
Answer:
2.5 gallons
Step-by-step explanation:
5-1.25=3.75
3.75/3=1.25
1.25*2=2.50
Answer:
2.5, or 2 1/2 gallons
Step-by-step explanation:
The measure of an inscribed angle is 110°. What is the measure of the intercepted arc?
559
110°
220°
Answer: 220
Step-by-step explanation: See photo. The measure of an inscribed angle is equal to half the measure of the included arc.
110 = 1/2 x
220 = x
The circumference of a circle is C centimeters. The diameter of the circle is 13 centimeters.
Which expression best represents the value of pi?
A. C/6. 5
B. 6. 5/C
C. C/13
D. 13/C
The diameter of the circle C/13
The formula provides the circumference of a circle.
The circumference of any shape in mathematics designates the path or limit that surrounds the shape. In other words, the circumference, sometimes referred to as the perimeter, aids in figuring out how long the contour of a shape is. The size and perimeter of a circle are, as we all know, its two most important properties.
C = pi * d, where d is the diameter and c is the circumference.
C = pi * 13 gives the diameter as 13.
Subtract 13 from each side, C/13 = d.
Dimensions are C/13.
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7.9 , 8.37 , 7.293 , 7.785 , 7.476 greatest to least..pls help!!
Answer: 7.785,7.476,7.293,8.37.7.9
Step-by-step explanation:
Pls sm1 help I been asking for help for hours and no answer plss help
Answer:
6 kilometers
Step-by-step explanation:
2x3=6
please brainiest
Answer:
It explicitly states that 1cm represents a distance of 3km.
If the two places are 2cm apart...
it simply means that they're 6km apart!.
It’s midnight and I’m so confused someone please help or I’m going to summer school lol
What's the volume in 16m 16m 12.4m
Answer: 3174.4
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Factor: 0.25x^2 - 0.16y^4
0.25x^2 - 0.16y^4
Both terms are perfect squares so use the difference of squares formula
A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2
Answer is 0.01(5x + 4y^2)(5x-4y^2)
Answer:
Solution given:
0.25x^2 - 0.16y^4
[0.5x]²-[0.4y²]²
[Note: Using formula: x²-y²=(x+y)(x-y)]
(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.
Find the mean and standard deviation for the set of data.
{31,12,21,6,28,5,26,23,19}
A. mean: 19; standard deviation: 8.87
B. mean: 19; standard deviation: 9.24
C. mean: 20; standard deviation: 8.87
D. mean: 20; standard deviation: 9.24
Answer:
if it says bit .ly etc don't click it
yes i need help anyone please give me the answer
Answer:
x = 25
y = 65
Step-by-step explanation:
I'm not sure if I'm right but..
To solve x:
Since there is a 90 degree angle with 65 degrees and x, the total should sum up to 90. (ofc)
90 - 65 = 25 <--- the missing angle (x)
To solve y:
I'm pretty sure that it is also a 90 degree angle because there is a 90 degree across from you, so they should have the same angles. Since you know x=25, You would do this:
90 - 25 = 65 <--- y
Your welcome!!
Can you help I’ll mark brainliest
Answer:
[tex]7\sqrt{3}[/tex]
Step-by-step explanation:
Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:
The side opposite to 30 degree angle: n
The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]
The side opposite to 90 degree angle: 2n
Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]
The figure below is a scale drawing of a playhouse. In the drawing, the side of each house represents two and a half feet. Find the actual length of each segment.
5. The width of the house. = 30 feet
6. The height of the house. = 22.5 feet
7. The height of the first floor. = 12.5 feet
8. The height of the roof. = 10 feet
9. The width of the door. = 5 feet
10. The height of the door. = 7.5 feet
How to find the actual length of each segmentThe actual length of each segment is calculated by counting the units in the scale drawing and multiplying by the scale factor
In the problem, the scale factor is two and a half feet = 2.5 feet
5. The width of the house
number of units from the drawing = 12 units
actual length = number of units from the drawing * scale factor
actual length = 12 * 2.5 = 30 feet
6. The height of the house
number of units from the drawing = 9 units
actual length = 9 * 2.5 = 22.5 feet
7. The height of the first floor
number of units from the drawing = 5 units
actual length = 5 * 2.5 = 12.5 feet
8. The height of the roof
number of units from the drawing = 4 units
actual length = 4 * 2.5 = 10 feet
9. The width of the door.
number of units from the drawing = 2 units
actual length = 2 * 2.5 = 5 feet
10. The height of the door.
number of units from the drawing = 3 units
actual length = 3 * 2.5 = 7.5 feet
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Joan flipped a coin 100 times during a mathematics experiment. The coin landed on tails 36 times. Based on Joan's results, which of these statements is true?
(A)The coin landed on tails more than expected.
(B)The coin landed on heads less than expected.
(C)The coin landed on heads more than tails.
(D)The coin landed on heads less than tails.
What is the difference 19√5 - 3√5 A.16 B.22 C.16√5 D.25
Answer:
C - 16√5
Step-by-step explanation:
Simply subtract 19 and 3 while keeping √5 the same.
19√5 - 3√5 = 16√5
there are 32 students who studied maths and 28 geography and 26 social science if there are total 40 students in school if they all studies one subject atleast then find maximum number of students who studied all subjects
The maximum number of students who studied all subjects is 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total students = 40
Number of students who studied maths = 32
Number of students who studied geography = 28
Number of students who studied social science = 26
The maximum number of students who studied all subjects.
= Highest number of students who studied one subject - Least number of students who studied a subject
= 32 - 26
= 6
Thus,
6 is the maximum number of students who studied all subjects.
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Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
The required value of x is 17 for the given equation 11 = x - 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
11 = x - 6
We can determine the value of x by adding 6 to both sides of the equation.
As per the question, we have
⇒ 11 = x - 6
⇒ 11 + 6 = x - 6 + 6
⇒ x = 11 + 6
Apply the addition operation, and we get
⇒ x = 17
Therefore, the required value of x is 17.
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WHat is the largest multiple of 5 that is less than 24
Answer:
20
Step-by-step explanation:
5*4=20
5*5=25, but it is bigger than 24.
So the ans is 20
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?
A. One
B. Two
C. None
D. Infinitely many
Answer:
D. infinitely many
Step-by-step explanation:
5+2 = 7 so 4y + 7 = 5 + 2 + 4y just equals 4y + 7=4y + 7 and any value of y is true in that equation.
Answer:
D :)
Step-by-step explanation:
Add 55 and 22.
4y+7=7+4y4y+7=7+4y
Move all terms containing yy to the left side of the equation.
Subtract 4y4y from both sides of the equation.
4y+7−4y=74y+7-4y=7
Combine the opposite terms in
Subtract 4y4y from 4y4y.
0+7=70+7=7
Add 00 and 77.
7=77=7
Since 7=77=7, the equation will always be true for any value of yy.
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Simplify the expression please!
Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.
What do you mean by law of indices?The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:
a^m * a^n = a^(m+n) (product of powers)(a^m)^n = a^(m*n) (power of a power)a^m / a^n = a^(m-n) (quotient of powers)(a^m)^(-n) = a^(-m*n) (power of a reciprocal)These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.
[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]
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URGENT
simplify (sinx+cosx)^2-(sinx-cosx)^2
Answer:
Solution given:
(sinx+cosx)^2-(sinx-cosx)^2sin²x+2sinxcosx+cos²x-(sin²x-2sinxcosx+cos²)1+2sinxcosx-1+2sinxcosx2(2sinxcosx)2sin2xStep-by-step explanation:
[note: sin²x+cos²x=1]
Answer:
(sinx+coax+sinx-cosx) ( sinx+cosx-sinx+cosx)
4sinxcosx
2sin2x
Find the measure of angle F
Help PlSss there’s people not helping I really need to bring my grades up
Answer:
center: P
Radius: 12cm
# of radii: 5
Diameter: 24cm
# of diameters: 2
Circumference: 75.36cm
Step-by-step explanation:
the center is labeled with the point p
radius is the distance from the center to the circumference of a circle
diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)
circumference is 2(pi)r
pi can be rounded to 3.14