For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression
It is given that the expression is,
Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.
The expression for the given condition is,
=(10 + 16) ÷ 2
If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,
=2/3 x 2 + 1/4
Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.
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How do I find x please I need help asap
Answer:
x=5
Step-by-step explanation:
Let's say the left side has points A, B, and C, with B in the middle, and the right side has points A, E, and D, with E in the middle
The Triangle Proportionality Theorem Converse states that if a line splits two sides of a triangle proportionally, the line is parallel to the remaining line.
Here, we can see that the sides are split into congruent lengths to each other, making their proportions 1:1. This proves the theorem converse, so 5x is parallel to 8x+10. Because the other two sides are connected to each other, with AB being a part of AC and AE being a part of AD, AB is parallel to AC and AE is parallel to AD. Given this, we can say that triangle ABE is similar to triangle ACD.
In a similar triangle, the lines corresponding to each other have the same ratio as other lines. This means that
AB/AC = AE/ED = BE/CD.
We are trying to find BE and CD to solve for x, and we can do this by finding the ratio between them
AC = AB + BC
BC = AB
AC = 2 * AB
AB / (2*AB) = BE / CD
1/2 = 5x/(8x+10)
multiply both sides by 2 to remove a denominator
1 = 10x / (8x+10)
multiply both sides by 8x+10 to remove the other denominator
8x+10 = 10x
subtract 8x from both sides to put the variable and its coefficients on one side
2x = 10
divide both sides by 2 to solve for x
x = 5
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
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Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
HELP NOW! 20 POINTS!
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Determine if the two triangles are congruent. State how you know
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The two triangles are congruent by ~
B.) HL congruency criteriaBecause each triangle have a right angle (90°), a pair of equal sides and their hypotenuse are equal as well, because they have a common hypotenuse ~
I hope it helps ~
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?
Answer:
A= L x W
A= 25.75 X 10.2
A= 262.65
Step-by-step explanation:
THE AREA OF KATHLEEN'S VEGETABLE GARDEN
1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
PLS HELP ASAP. QUESTION IN PICTURE
Answer:
80
Step-by-step explanation:
180 - 100 = 80
(Meeting character limit)
If the triangles are similar, which must be true? StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction.
The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].
Given that,
Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].
Triangle RST is shown.
Line XY is drawn parallel to side ST within triangle RST to form a triangle [tex]\rm \triangle RYX[/tex].
We have to determine,
If the triangles are similar, which must be true?
According to the question,
Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].
Triangle RST is shown.
The relationship between the triangles is line XY is drawn parallel to side ST within triangle RST to form [tex]\rm \triangle RYX[/tex].
The point X on side RT and point Y on side RS in [tex]\rm \triangle RYX[/tex].
Then,
The [tex]\rm \triangle RST[/tex] is similar to [tex]\rm \triangle RYX[/tex], the corresponding ratio of their sides are equal,
[tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex]
Hence, The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].
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Answer:
B.
Step-by-step explanation:
Edge 2022
Which equation best fits the graphed data?
6+
4+
2+
+X
-6
-4
- 2
2
6
N
-2+
.
.
-4
-6+
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is factor write its type
Answer:
These are the answers
Step-by-step explanation:
factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Hope it helps !
can somebody help me with this please
Answer:
2 bottles
Step-by-step explanation:
The 15 trees will need ...
(15 trees)×(10.5 fl oz/tree) = 157.5 fl oz
This is about ...
(157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L
This is just slightly more than the quantity available in 1 bottle. It amounts to ...
4.66 L/(4.1 L/bottle) ≈ 1.14 bottles
We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.
2 bottles are needed to fertilize 15 trees
What is the simplified form of the following expression? Assume x not-equals 0. RootIndex 5 StartRoot StartFraction 10 x Over 3 x cubed EndFraction EndRoot StartFraction RootIndex 5 StartRoot 10 x EndRoot Over 3 x EndFraction StartFraction RootIndex 5 StartRoot 30 EndRoot Over 3 x EndFraction StartFraction RootIndex 5 StartRoot 120 x cubed EndRoot Over 3 x EndFraction StartFraction RootIndex 5 StartRoot 810 x cubed EndRoot Over 3 x EndFraction.
Equivalent expressions are expressions of different forms that have the same value
The equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
The equation is given as:
[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]
Multiply the fraction by 810x^2.
So, we have:
[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{10x \times 81x^2}{3x^3\times 81x^2}}[/tex]
Evaluate the products
[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
Hence, the equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]
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Answer:
d
Step-by-step explanation:
A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.
Answer:
19.2 cm
Step-by-step explanation:
480×0.014
=19.2
The pages in Rana’s diary are rectangular and not square. Both the length and width are measured in
whole centimeters. The perimeter of each page is 44 cm. What could be the area of each page?
Based on the information given, it should be noted that the area of the pages will be 112cm².
Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.
Therefore, the area of the pages will be calculated thus:
= Length × Width
= 8cm × 14cm
= 112cm²
Therefore, it can be concluded that the area of the pages will be 112cm².
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Which expression would be easier to simplify if you used the commutative
property to change the order of the numbers?
O A. 80 + 20 + (-17)
O B. 2/3 +(-1/3) + 1/5
O C. (–19) + (-10) + 7/8
O D. (-80) + 43+ (-120)
Answer:
Step-by-step explanation:
THE ANSWER IS A. 80 + 20 + (-17)
If the velocity of a car is 45 kilometers per hour west how far can it travel 0.5 hours?
Answer:
It dosn't matter which direction the car is going, it's going 45 km/hr thus it's going 45/2 in 0.5 hr = 22.5 km
Step-by-step explanation:
You want to order posters to advertise your band. A company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. Write an equation that represents the total cost y (in dollars) as a function of the number (in hundreds) of posters ordered, x. Find the total cost of 1000 posters.
The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x
let
y = total cost
x = numbers in hundreds
cost of first hundred = $109.95
Cost of additional hundred = $65
f(y) = 109.95 + 65x
The total cost of 1000 posters
1000 - first hundred = 900
additional hundreds = 900/100
= 9
So,
f(y) = 109.95 + 65x
= 109.95 + 65(9)
= 109.95 + 585
= 694.95
f(y) = $694.95
Therefore, the total cost of 1000 posters is f(y) = $694.95
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Solve the pair of simultaneous equations
x = 4 - y
x = y + 2
(3,1)
x=3; y=1
Step-by-step explanation:
Algebraic
Answer:
The solution to this system of linear equations is (3, 1).
Step-by-step explanation:
Here we have two equations for x. We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y
Then y must be 1. Substituting this into the first equation, we get x = 4 - 1 = 3.
The solution to this system of linear equations is (3, 1).
All you need is on the photo
Please put these answer choices in oreder
Please don't answer random if you do that tou are gonna lose points
Answer: a
Step-by-step explanation:
Select all the expressions that equal:
-7 - (- 12)
below:
Answer:
c and e
Step-by-step explanation:
[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]
Can someone tell me if this is correct if not please correct me in the wrong ones
Answer:
The answer to 2 is "acute".
The answer to 6 is "right triangle"
For 10, it actually is possible. An example is 50, 50, 80
Step-by-step explanation:
An acute triangle is when each angle is less than 90 degrees.
Any triangle with 90 degrees for one angle counts as a right triangle.
all angle measures in a triangle must add up to 180 degrees. Hope this helps!
Please help I was supposed to do this yesterday
If x=-4 and y= 9/2
Answer:
1/6([tex]3x^{2}[/tex]+4y)
Step-by-step explanation:
Perform each matrix row operation and write the new matrix
Answer:
[4 -11 1 7 l -17]
[0 1 -1 -7 l 0]
[3 0 -2 2 l 12]
[4 1 5 3 l 7]
Step-by-step explanation:
This is Finite Math, I got this hehe :)
To find the answer, first you need to understand what R means.
It stands for "row". So R1 means "Row 1".
So: -3R1 + R3 means that you need to multiply -3 by all of the numbers in row 1 and then add all of the numbers in row 3
[0 3 1 -1 l 6]
[0 1 -1 -7 l 0]
[3 0 -2 2 l 12]
[4 1 5 3 l 7]
Then use ^^THAT^^ and apply the next set of instructions.
-4R1 + R4 means that you multiply -4 by all of the numbers in row 1 and then add all of the numbers in row 4:
[4 -11 1 7 l -17]
[0 1 -1 -7 l 0]
[3 0 -2 2 l 12]
[4 1 5 3 l 7]
i don't understand help me please math!!
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
Eight children can fold 5 paper cranes in 6 minutes.
(i) How long will it take 36 children to fold 120 paper cranes?
A ramp for a loading truck is 13 long and covers 12 feet along the level ground. How many feet high is the highest point on the ramp?
Answer:
5 feet
Step-by-step explanation:
Using pythagoras' theorem a^2 = b^2 + c^2
13^2 = 12^2 + c^2
c^2 = 25
c = 5 feet
Answer:5
Step-by-step explanation:
e: x10+x15+x30=3
⇒3x+2x+x30=30
∴x=15
a: 1.5t+2.5t+3.5t=70+0.5t
⇒7.5t−0.5t=70
⇒7t=70⇒t=707=10
b: Let the number be x.
Given that, 2x3−x6=10
⇒4x−x6=10
x=20
d: 3x+5>25−x
⇒3x+x>25−5
⇒4x>20⇒x>204⇒x>5.
Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.
Hey there! I attached a pic of how to solve this. Hope it helps!
for each value c determine how many solutions the system has
Answer:
can we get a picture or something? we cant help unless we have more context
Step-by-step explanation:
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. If Elena
wants to order for the year, how many quarts of shampoo does she need to order?
The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.
As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,
[tex]n=5.4\times12\\n=64.8\\[/tex]
Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
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A bicycle store costs $2550 per month to operate. The store pays an average of $45 per bike. The average selling price of each bicycle is $75. How many bicycles must
the store sell each month to break even?
Answer:
3750
Step-by-step explanation:
2250/45=50
50x75=3750