Answer:
The model you described is a mathematical representation using algebra tiles, and it represents the equation 2x + 1 = -x + 4.
Step-by-step explanation:
To solve this equation for x, we need to isolate x on one side of the equation by using the operations of algebra (such as addition, subtraction, multiplication, and division).
In this case, we can start by adding x to both sides:
2x + 1 + x = -x + 4 + x
This gives us:
3x + 1 = 4
The next step would be to subtract 1 from both sides:
3x = 3
then we divide both sides by 3
x = 1
So x=1 is the solution.
The algebra tiles help to visualize the manipulation of equations, but the actual solving process is algebraic manipulation of the equation.
please help me out thank you so much whoever does !!
Answer: Angle c is 80 degrees
Equation: 60+40+x = 180
Step-by-step explanation: First of all, know a triangle equals 180 degrees. You add the angles you already know together and then subtract that number from 180. Then you get angle c. :)
1. An open box is to be made from a sheet of card 40cm by 30cm. A square of side x cm is to be
cut from each corner, as shown in the diagram, and then the sides will be folded up so that the
depth of the box will be x cm.
(a) Find in terms of x the length and width of the base of the box (ie AB and AD).
(b) The volume of the box is y. Write down an equation expressing y in terms of x.
Step-by-step explanation:
AB = DC = 40 - 2x
AD = BC = 30 - 2x
there is not more explanation possible, I think.
we cut off from each side 2 pieces of x cm. so, AB, DC, AD, BC are the the remaining lengths.
the volume of the box is ground area times height (x is the length of the remaining flaps after the cut, so, when folding up these flaps/sides, they will be x cm high).
Volume = y = AB×AD×x
=> y = (40-2x)×(30-2x)×x = (1200 - 60x - 80x + 4x²)×x =
= (1200 - 140x + 4x²)×x = 4x³ - 140x² + 1200x
The surface area of a cube is 24cm^2 . Find the
length of the sides.
Help please
The length of the sides of cube will be;
⇒ 2 cm
What is mean by Cube?A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six squared faces with eight vertices and twelve edges is called cuboid.
Given that;
The surface area of a cube = 24 cm².
We know that;
The surface area of a cube with side 'a' is,
⇒ S.A = 6a²
Here, The surface area of a cube = 24 cm²
Hence, We get;
⇒ 24 = 6a²
⇒ 24/6 = a²
⇒ a² = 4
⇒ a = √4
⇒ a = 2 cm
Thus, The side of cube = 2 cm
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Find the value of angle z. Need ASAP. STEP BY STEP
Answer:
71 degrees
Step-by-step explanation:
y=19 degrees
z and y=90degrees
90 _19 to get y
Solve the equation −14 - 1 4 (x – 26) = –200 for x.
Hello there!
Answer:
x = 39 2/7
Step-by-step explanation:
-14 - 14(x - 26) = -200
- 14 + 14 - 14(x - 26) = -200 + 14
-14(x - 26) = -186
-14(x - 26)/(-14) = -186/(-14)
x - 26 = 93/7
x - 26 + 26 = 93/7 + 26
x = 275/7
x = 39 2/7
How do you find the base and height of an isosceles triangle?
The base and height of an isosceles triangle can be found by using the Pythagorean theorem.The hypotenuse is also the base of the triangle.
First, you need to determine the length of the two sides that are equal, which are referred to as the "legs" of the triangle. Then, use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the triangle.
Once you have determined the length of the hypotenuse, the height of the triangle can be found using the formula, h = √(b^2 - (l/2)^2). In this formula, b is the length of the hypotenuse, and l is the length of the legs.
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How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.
Answer:
well, you didnt give me any numbers or variables, so ill do it like this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink
Step-by-step explanation:
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 20 milligrams of Medication A with 16 milligrams of Medication B. However this week, the doctor said to only use 8 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Answer:
10 milligrams of Medication A
Step-by-step explanation:
We'll write proportions/ratios for this:
20:16 is the usual proportion, and x:8 is this week's dose. The ratio from A to B has to be equal, so
20/16 = x/8
Cross-multiply:
(20)(8) = (16)(x)
160 = 16x
divide both sides by 16
x = 10
Please let me know if you have questions about this answer.
HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong
Answer:
the answer is 1
Step-by-step explanation:
4(2x-3)=6x+2
8x-12=6x+2
+6x +6x
14x-12 =2
+12 +12
14x=14
x=1 and don't worry we all make mistakes
Two tangents each intersect a circle at opposite endpoints of the same diameter. Is it possible for the two tangents to intersect each other outside the circle
No, the tangents cannot intersect outside the circle.
When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.
tangent
a tangent is the line drawn from an external point and passes through a point on the curve.
One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.
curve
A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.
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Given the lengths of two sides of a triangle, determine the range, a, of possible side lengths of the third side.
5 km and 11 km
12 mi and 12 mi
25 yd and 10 yd
By using the triangular inequality, we will get the possible lengths:
a) 6km < x < 16km
b) 0mi < x < 24mi
c) 15yd < x < 30yd
How to estimate the lengths of the possible third side?If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:
A + C > D
A + D > C
C + D > a
Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:
x + 5km > 11km
x + 11km > 5km
11 km + 5 km > x
From these inequalities we can get:
16km > x
x > 11km - 5km
x > 6km
Then the possible lengths of the third side are:
6km < x < 16km
b) Now the sides are 12 mi and 12mi, then the inequalities are:
x + 12mi > 12mi
12mi + 12mi > x
The first one gives:
x > 0mi
The second:
24mi > x
The possible lenghts are 0mi < x < 24mi
c) 25 yd and 10 yd
Here we will get:
25yd + 10yd > x ----- > 30yd > x
x + 10 yd > 25yd -------> x > 15yd
The possible lengths are:
15yd < x < 30yd
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How many 1/3 cubes does it take to fill a box with a width of 2 2/3 inches length 3 1/3 inches and height 2 1/3
It takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
In Math's or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
It is also said to be a regular hexahedron.
We will convert the dimensions of the given box into simple fractions for easy calculations.
The dimensions of the given box:
Length = 3 + 1/3 inches = 10/3 inches
Breadth = 2 + 2/3 inches = 8/3 inches
Height = 2 + 1/3 inches = 7/3 inches
The side of each cube = 1/3 inches
Therefore,
The no. of cubes required to fill the box is,
= (volume of the box) / (volume of each 1/3 inch cube)
= ( 10/3 * 8/3 * 7/3 ) / (1/3)^2
= 10 * 8 * 7
= 560
Thus, it takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
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Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller
An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.
Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.
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What is the solution?
what is the magnitude of the net electric field at point p due to the particles?
The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as
let us assume that , The charges of the four particles and the distance are given then on understanding the concept of electric field at electrostatics concept. on using the concept of the electric field at any given point, then production of individual electric field by a charge. and we known the concept of superposition law, on applying the law we get the value of the electric field in its direction and this shows the determination of the net electric field at that point.
The magnitude of the electric field,
E = q * R
where R = The distance of field at point from the charge, and q = charge of the individual particle
According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field we get the origin of the coordinate system which is placed at point P and the y-axis is situated and oriented in the direction of the charge, (passing through the charge, ). The x-axis which is perpendicular to the y axis, and thus passes through the identical charges, then the individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which being positive i.e ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as E= 0
hence the net electric field is zero .
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Can u please helppppppppp
Answer:
Draw a vertical line that goes through the point given. This will make the two lines perpendicular. The line given is horizontal, a vertical like would be 90° o the horizontal line.
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
12.5
Step-by-step explanation:
So this is basically a rectangle. You make the 2 triangles a square.
2.5x2.5=6.25
6.25x2=12.5
What is the distance of 2/3 from the horizontal axis in Cartesian plane?
Distance of 2/3 from the horizontal axis is 2 for a cartesian plane.
What is cartesian coordinate system?
The coordinate system in where the location of a point is identified by a pair of numerical terms and that has two reference axis is termed as cartesian coordinate system.
In cartesian plane the reference axis are named as X - axis and Y -axis.
In this system, location of a point p is identified by p (x, y) that means x is the x coordinate of point p and y is the y coordinate of point p. Generally, X-axis is horizontal, and Y-axis is vertical. Both axes are intersected at the origin.
What is the distance of 2/3 from the horizontal axis in cartesian plane?The point coordinate 2/3 denotes the location of a point with respect to a reference direction in the polar coordinate system. In the polar coordinate system, the angle between horizontal axis and a reference point is called polar angle. we know tan angle = vertical coordinate / horizontal coordinate.
hence, tan angle = 2/3
for this reason, if we imagine a cartesian coordinate system 2 is the y coordinate and 3 is the x coordinate.
Finally, the distance of 2/3 from the horizontal axis is 2.
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Is 10 12 15 a right triangle?
No, 10, 12, and 15 are not the lengths of the sides of a right triangle.
A right triangle is a triangle with one 90 degree angle. The other two angles must be acute angles (less than 90 degrees).
The Pythagorean Theorem is a formula used to determine if three given side lengths can form a right triangle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse.
In this case, the side lengths of the triangle are 10, 12, and 15. Therefore, the Pythagorean Theorem can be written as:
10^2 + 12^2 = 15^2
100 + 144 = 225
244 ≠ 225
Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
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Melanie answered 18 of
24 questions correctly
on a test. What percent
of her answers were
correct?
|GIVING BRAINLIEST| (no links)
75 percent
Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.
Translate this sentence into an equation.
45 is the sum of 19 and Victor's score
Answer:
Victors score= v
19 + v =45
Cos (A) + Tan (A) Sin (A), Sec (A)=
Answer: you need more info
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
2.54cm $0.45
Marcos determines the calculation as 1.3m (100 cm -) ( :)
= 148.59
lin
lin.
What is the error in Marcos' reasoning, and how much will the fabric cost?
CA Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. Option C is correct.
What is the error?An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The discrepancy between the calculated value and the correct value is referred to as an “error” in statistics.
The length of fabric= 1.3 meters.
Cost of fabric=$0.45 per inch
1 meter =39.3701 inch
1.3 meter =1.3 × 39.3701 inch
1.3 meter = 51.18 inch
Cost of fabric per unit length(inch);=$0.45
The cost of the fabric is;
Cost of fabric=$0.45 ×51.18 inch
Cost of fabric=$23.03
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. The fabric cost will be, $23.03
Hence,option C is correct.
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(a) What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.To learn more about distribution refer to:
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On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0).
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
units
The length of the line is 5 units.
What is distance?The distance between two points is the length of the line joining the two points.
Formula: distance= √(x_2-x_1)²+(y_2-y_1)²
Given that, endpoints are (-1,4) and (2,0) of the line segment.
The length= √(2+1)²+(0-4)²
=5units
Hence, The length of the line is 5 units.
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Three line segments have measures of 18 units, 12 units, and 10 units. Will the segments form a triangle?
Does it form a triangle?
No, the segments will not form a triangle based on the line segments provided.
For three line segments to form a triangle, they must satisfy the triangle inequality theorem. The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side.
This is because if the sum of the lengths of any two sides is less than or equal to the third side, it would not be possible to form a triangle with those side lengths, as the two shorter sides would not be able to reach the longer side to form the triangle.
In this case, the sum of the two shorter segments (12 units + 10 units) is 22 units, which is less than the measure of the longest segment (18 units). Therefore, the three segments will not form a triangle.
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HELP ME ASAP!!!!
A vertical mast is on top of building and is positioned 6' from edge of building. The mast casts a 90' shadow from front of building. Another building 24' tall casts a shadow 64'. What is the height of the mast?
a. 7ft 6in
b. 9ft 9in
c. 12ft
d. 33ft
Answer:
33.75
Step-by-step explanation:
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area of a circle of radius is 6.5?
Answer:
see below
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = pi (6.5)^2
A =42.25 pi
If we approximate pi by 3.14
A = 42.25 * 3.14 =132.665
If we use the pi button
A = 132.7322896
Answer:
132.73
Step-by-step explanation:
anyone help me with 4? it would mean a lot!
what is the mode of this data set? 4, 69, 84, 69, 90, 75, 94, 90, 90, 1, 5
Answer:
90
Step-by-step explanation:
90 because it occurs most in the data set.
Answer:
90
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!