The sentence can be written as:
x + 2 = 23
And the solution is x = 21.
How to write the sentence as an equation?Here we have the sentence:
" The sum of 2 and a number is 23."
Let's define x as the number, then we can write the equation:
x + 2 = 23
This is a simple linear equation, to solve this we need to subtract 2 in both sides of the equation, we will get:
x + 2 - 2 = 23 - 2
x = 21
We conclude that the number is 21.
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What is the scale for 3 cm on the map correspond to 120 km in the actual distance?
how do i express the answer in the box. see attachment.
The scale of the map is 1:4000000
Scale of a mapFrom the question, we are to determine the scale of the map
From the given information,
3cm on the map correspond to 120 km
First, we will convert 120 km to cm
120 km = 120000 m
120000 m = 12000000 cm
Thus,
3cm on the map correspond to 12000000 cm
Then,
The scale of the map is
3:12000000
Reducing to the lowest term
1:4000000
Hence, the scale of the map is 1:4000000
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Solce by quadratic formular 5x^2+3_2=0
Answer:
(5x-2)(x+1)
means that x = -1 or x =[tex] \frac{2 }{5} [/tex]
Step-by-step explanation:
the quadratic formula is
[tex] \frac{ -b ± \sqrt{(b)^{2} - 4ac } }{2a} [/tex]
where a = 5
b = 3
c = -2
substitute with the equation above this gives you the answer
hope this helps
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Can someone pls help me with this question
Domain: (-infinity, 5)
Range: [-3, infinity)
JK = 5x-8, KL = 7x-12, JL = 52. Find x.
The value of x is 6
What is a line segment?A line segment can be defined as the partition formed by end points of a line.
From the information given, we have that line JL is the line with segments JK, KL and JL and K and the midpoint between J and L
This can be represented as;
JK + KL = JL
Where;
JK = 5x-8KL = 7x-12JL = 52Substitute the values into the formula, we have;
5x -8 + 7x - 12 = 52
Now, collect like terms
12x = 52 + 20
Add like terms
12x = 72
Make 'x' the subject of formula
x = 72/12
x = 6
Thus, the value of x is 6
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larry has 4 pounds of dirt He gives Curly 1 1/3 pounds of dirt and Moe 2 3/5 of dirt. how much dirt does larry have left.
Larry is carrying 4 pounds of dirt. Moe receives 2 3/5 pounds of dirt, and Curly receives 1 1/3 pounds. Larry has 0.07 pounds of dirt.
Given that,
Larry is carrying 4 pounds of dirt. Moe receives 2 3/5 pounds of dirt, and Curly receives 1 1/3 pounds.
We have to find how much dirt does Larry have
Larry =4 pounds of dirt
Larry=4 pound of dirt-Moe receives 2 3/5 pounds of dirt- curly receives 1 1/3 pounds of dirt.
Larry=4-2 3/5-1 1/3
Larry=4-13/5-4/3
Larry=4-2.6-1.33
Larry=4-3.93
Larry=0.07
Therefore, Larry has 0.07 pounds of dirt.
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What is the area, in square meters, of the trapezoid below?
14.6 m
5.2 m
7m
The area, in square meters, of the trapezoid is 56.16 m²
A trapezoid with height 5.2m and parallel base is 14.6m and 7m.
We have to find the area of area of this trapezoid.
Area of trapezoid = 1/2(sum of parallel sides)(height)
= 1/2(14.6+7)(5.2)
= 1/2(21.6)(5.2)
= 1/2(112.32)
= 56.16 m²
A quadrilateral with as a minimum one pair of parallel aspects is known as, in American and Canadian English, a trapezoid (/ˈtræpəzɔɪd/). In British and other forms of English, a (North American) trapezoid is known as a trapezium (/trəˈpiːziəm/). The transposition of these two terms become a result of an blunders in Charles Hutton's mathematical dictionary.
A trapezoid is always a convex quadrilateral in Euclidean geometry. The parallel aspects are known as the bases of the trapezoid. the opposite facets are known as the legs (or the lateral aspects) if they're no longer parallel; otherwise, the trapezoid is a parallelogram, and there are pairs of bases)
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Calculate the size of angle ABC in each of these triangles. X B b A a 570 A 95⁰ 55⁰ 60% 5 Calculate the size of angle BCD in each of these diagrams. B b A C 110⁰ C 49⁰ 63° C 9⁰ D A B B 125% 30° 40° 62⁰ 289 b C 6 Three angles of a quadrilateral are 60°, 80° and 110°. How big is the fourth angle? 7 Calculate the sizes of the lettered angles in these quadrilaterals. 35° D 25 C Q 35° 71% D B 172 38° B 132 100⁰ A
Answer:
4.
∠ABC + ∠BCA + ∠CAB = 180
therefore, ∠ABC = 180 - ∠BCA - ∠CAB
using this formula to solve 4a, 4b and 4c:
4a. ∠ABC = 180 - ∠BCA - ∠CAB = 180 - 49 -57 = 26
∠ABC = 26
4b. ∠ABC = 180 - ∠BCA - ∠CAB = 180 - 28 -90 = 62
∠ABC = 62
4c. ∠ABC = 180 - ∠BCA - ∠CAB = 180 - 38 - 25 = 117
∠ABC = 117
5a. In the Triangle ABC, ∠BCA + ∠CAB + ∠ABC = 180
∠BCA = 180 - ∠CAB - ∠ABC = 180 - 55 - 60 = 65
∠BCA = 65
∠BCD + ∠BCA = 180
therefore substituting for ∠BCA in, ∠BCD = 180 - ∠BCA = 180 - 65 = 115
∠BCD =115
5b. In the Triangle ABC, ∠BCA + ∠CAB + ∠ABC = 180
∠BCA = 180 - ∠CAB - ∠ABC = 180 - 125 - 30 = 25
∠BCA = 25
∠BCD + ∠BCA = 180
therefore substituting for ∠BCA in, ∠BCD = 180 - ∠BCA = 180 - 25 = 155
∠BCD = 155
5c. ∠ABD + ∠CBD = 180
therefore ∠CBD = 180 - ∠ABD = 180 - 132 = 48
∠CBD = 48
In the Triangle BCD, ∠CBD + ∠BDC + ∠BCD = 180
therefore ∠BCD = 180 - ∠CBD - ∠BDC = 180 - 48 - 71 = 61
∠BCD =61
6. 4 angles of a quadrilateral = 360
∠a+110+60+80=360
∠a=360-110-60-80=110
∠a = 110
7. four angles of a quadrilateral = 360
using his formula to solve for ∠a, ∠b and ∠c.
for angle a: ∠a+110+95+63=360
∠a=360-110-95-63=92
∠a = 92
for angle b: ∠b+40+62+35=360
∠b=360-40-62-35=223
∠b=223
for angle c: ∠c+100+172+35=360
∠c=360-100-172-35=53
∠c=53
a cylinder is 9 in tall 5 in in diameter what is the area
The total surface are of the cylinder is approximately 180.64 square inches.
One of the most fundamental curvilinear geometric shapes, a cylinder is a three-dimensional solid. It has been regarded geometrically as a prism whose base is a circle.
The properties of a cylinder with radius r and height h are:
The total surface area is 2πr(r+h)The curved surface is 2πrhThe volume of a cylinder is given by πr²hGiven dimension of the cylinder are:
Diameter=5 inches and height=9inches
We know that radius=diameter/2
Therefore radius of the cylinder is 5/2=2.5 inches
Now the total surface are of the cylinder
=2πr(r+h)
=2π×2.5×(2.5+9)
=2π×28.75
=57.5π square inches
=180.6415...
≈180.64 square inches
The total surface area of the cylinder is approximately 180.64 square inches.
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The table shows the total distance of four trails. You want to complete a trail in 1 1/2 hours with an absolute deviation of at most 15 minutes. you hike at a rate of 3 miles per hour. CREATE AN ABSOLUTE VALUE INEQUALITY
Answer:
The answer would be: A = 5 1/4
Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?
Answer:
322.5$Step-by-step explanation:
Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?
we find the average between 42 and 87 and multiply by 5
[(42 + 87) : 2] * 5 =
(129 : 2 ) * 5 =
64.5 * 5 = 322.5$
I need the answer for the bottom question please let me know what it is and how to do these type of questions
Answer:
Step-by-step explanation:
x -> +1 ->×2
3422 divided by 12. What would the decimal turned into a fraction?
When 3,422 is divided by 12, the decimal that remains when converted to fraction form is 1 / 6
What is the decimal remaining?First, divide 3,422 by 12 to find the result.
Dividing 3,422 by 12 gives:
= 3,422 / 12
= 285.16667
You need to convert 0.16667 to a fraction. When done, this is:
= 16,667 / 100,000
= 2 / 12
= 1 / 6
In conclusion, the decimal when turned to a fraction is 1/6.
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a business company distributed bonus to its 24 employees from the net profit of rs 16,48000. if every employee received rs 8,240.what was the bonus percent?
it is called business company
At the beginning of every soccer practice, Coach Alex has the players warm up and stretch. They do 3 minutes of warm-up exercises for every 2 minutes of stretching.
Answer:
See attached table and graph!
Step-by-step explanation:
Brainly says there was "inappropriate language" in my explanation ( I assure you, there isn't!) So I attached it as an an image below! Hope this helps!
The total arm and blade of a windshield wiper is 15 in. long and rotates back and forth through an angle of 98°. The shaded region in the figure is the portion of the windshield cleaned by the 10-in. wiper blade. What is the area of the region cleaned?
The area of the portion of the windshield cleaned by the 10-in wiper blade is 106.85in² .
We have been provided that the Length of blade is 15 inches and the Angle of rotation = 98°
We are required to calculate the area of the portion of the windshield cleaned by the 10-in wiper blade.
We have to solve this by using area of a sector.
Area of a sector = ½r²θ
where θ is in radians.
So, angle of rotation (98°) must first be converted to radians
Converting 98º to radians, we get
98×π/180 = 49π/90
The area of the region swept out by the wiper blade
= (area of the sector where r = 15 and θ = 49π/90) - (area of the sector where r = (15-10) and θ = 49π/90).
So, Area = ½×15²×49π/0 - ½×5²×49π/90
= ½×49π/90(15²-10²)
= 49π/180× (225 - 100)
= 49π/180 × 125
= 1225π/36
Area = 106.8472in²
=106.85 in²
Hence, the area of the portion of the windshield cleaned by the 10-in wiper blade is 106.85in²
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HELP ILL MARK AS BRAINLIEST
Which division problem does the model below show?
Answer: should be C
Step-by-step explanation:
What is the vertex for the graph below?
A. (0, 2)
OB. (-2,0)
C. (2,0)
D. (0, -2)
[tex] \bf \implies \:(x,y) = (2,0)[/tex]
Additional information:There are four quadrants in graph:
I quadrant shows (x,y)II quadrant shows (-x,y)III quadrant shows (-x,-y)IV quadrant shows (x,-y)Note that : x axis is also known as abscissa and y axis is also known as ordinate
A plane travels 600 mph for the first three hours of the trip. Then, the plane travels at a constant speed of 300 mph for two hours. Calculate the plane's average speed.
Please I need to knowing
Answer:
46
Step-by-step explanation:
75 degrees is the entire angle and you need to find out what h is, you need to subtract 29 from 75 and you will get h.
H=46.
A chef plans the menu for a particular reception for 322 guests. The appetizer is a 6-ounce serving of tomato juice for each guest. How many 46-ounce cans of tomato juice are ordered for this reception?
The number of 46-ounce cans of tomato juice to be ordered for the reception is 42.
How to find the amount of tomatoes ordered in ounces?A chef plans the menu for a particular reception for 322 guests.
The appetizer is a 6-ounce serving of tomato juice for each guest.
He has 322 guest to cater for.
Each of his guest will get an appetizer of 6 -ounce serving of tomatoes juice.
Therefore,
1 guest = 6 ounce of tomato serving
322 guest = ?
cross multiply
amount of tomato serving required = 322 × 6
amount of tomato serving required = 1932 ounces
Therefore,
the number of 46-ounce cans tomatoes juice ordered = 1932 / 46
the number of 46-ounce cans tomatoes juice ordered = 42
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Write the property that justifies each mathematical statement. Look carefully!!
1. a(cd) = ac - ad
2. 2x + y = y + 2x
3. — 3(4c) = (- 3 * 4)c
4. 3(4ab) = (4ab)3
5. - 9(3 + 2x) = -9(3) - 9(2x)
6. 3+ (2 + n) = (3 + 2) + n
The properties of algebra used here are
For first point the algebraic properties used is Distributive Properties of Addition Over Multiplication.
For Second point the algebraic properties used is Associative Property of Addition
For third point the algebraic properties used is Associative Property of Multiplication.
For fourth point the algebraic properties used is Commutative Property of Multiplication
For fifth point the algebraic properties used is Distributive Properties of Addition Over Multiplication.
For sixth point the algebraic properties used is Associative Property of Addition
The correct question is Write the property that justifies each mathematical statement. Look carefully!!
1. a(c-d) = ac - ad
2. 2x + y = y + 2x
3. — 3(4c) = (- 3 * 4)c
4. 3(4ab) = (4ab)3
5. - 9(3 + 2x) = -9(3) - 9(2x)
6. 3+ (2 + n) = (3 + 2) + n
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The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.
a: 44
b: 56
c: 61.3
d: 126
e: 138
f: 176
Answer:
b: 56
Step-by-step explanation:
x + y = 88
x is 4 more than half the other number.
half of y is 1/2y
4 more than that is 1/2y + 4
substitute
1/2y + 4 + y = 88
solve for y
3/2y = 84
y = 168 / 3 = 56
solve for x
x = 88 - 56 = 32
not sure where you would answer 32 from what's given :)
9y - 2 < 13 and 3y - > -29
Hence , the shading of the linear inequalities 9y - 2 < 13 and 3y - > -29 is given below.
An difference compares 2 values, showing if one is a smaller amount than, larger than, or just not adequate another worth.a ≠ b says that a isn't adequate ba < b says that a is a smaller amount than ba > b says that a is larger than bIn math, a graph may be outlined as a picturing or a diagram that represents knowledge or values in AN organized manner.The graph of the equation 9y - 2 < 13 equation (1) is represented by green colour and graph of the equation 3y - > -29 equation (2) is represented by yellow colour .
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The complete question is given below :
Shade the graph of 9y - 2 < 13 and 3y - > -29 .
The top numbers for 8 and 20
Answer:
Step-by-step explanation:
2/4 is equal to 0.5
4/8 is equal to 0.5
10/20 is equal to 0.5
A hawk was 2 feet above the surface of the water. The hawk then flew down 5 feet to catch a fish. How many feet
below the surface of the water was the hawk?
Answer:
3 feet below the surface
Step-by-step explanation:
2 - 5 = -3
Margo borrows $1100, agreeing to pay it back with 3% annual interest after 11 months. How much interest
will she pay?
Round your answer to the nearest cent, if necessary.
Answer:
$30.25
Step-by-step explanation:
1100 (.03) [tex](\frac{11}{12})[/tex]
A rectangular field is 294 yards in length and 340 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the nearest tenth of an acre
Answer:
20.7 acres
Step-by-step explanation:
A=wl=340·294=99960
convert 99960 yards to acres
Formula
divide the area value by 4840
= 20.7 acres
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.
Answer:
Domain: [-2, 2]Range: [-2, 2]Not a functionStep-by-step explanation:
The domain is the set of x values and the range is the set of y values.
For the relation to the function, each value of x must map onto no more than one value of y.
Answer:
Domain: -2≥x≥2
Range: -2≥x≥2
Not a function
Step-by-step explanation:
A wireless keyboard is 10/12 foot long. The area of the wireless keyboard is 5/24 square foot. What is the width of the wireless keyboard, in feet? Enter the answer as a fraction in lowest
Answer:
1/4 ft
Step-by-step explanation:
A = l x w
5/24 = 10/12 x w
Solve for w
5/24 divided by 10/12 = w
Take inverse of 10/12 and multiply
5/24 times 12/10
1/4
A phone company offers a monthly data plan for $10 a month plan includes 2 MB of data in charge $.10 per megabyte above the 2 MB of data write a piecewise defined function for MX the cost for X megabytes of data used in a month
Function for MX the cost for X megabytes of data used in a month is -
m(x) = {0.149.8,ifr>2
{10,ifr≤2
What is a function?A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
• Data exceeding 2 MB is charged at a rate of $0.10 per MB; one-time fee is $10;
The cost per month for x MB of data is:
1. Up to 2 Mb of data utilized; $10
2. Data use of over 2 MB
• m(x) = 10+ 0.1(x-2)= 10+ 0.1x 0.2 0.1x + 9.8 m(x) = 0.1x + 9.8
Thus, the function is:
m(x) = = {0.1x+9.8, if r>2
{ 10,ifr≤2
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