What is the simplest form of the ratio 40 : 16? a. 20 : 8 b. 10 : 4c. 5 : 4d. 5 : 2 e. 10 : 8
HELP PLEASE!
What is the reason for Statement 7 of the two-column proof?
A) Angle Addition Postulate
B) Linear Pair Postulate
C) Ruler Postulate
D) Angle Congruence Postulate
Given: ∠A and ∠B are supplementary. m∠A=90°
Prove: ∠A≅∠B
Statements Reason
1. [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary Given
2. [tex]m \angle A + m \angle B = 180^\circ[/tex] Def of supplementary angles
3. [tex]m \angle A = 90^\circ[/tex] Given
4. [tex]90^\circ + m \angle B = 180^\circ[/tex] Substitution property of Equality
5. [tex]m \angle B = 90^\circ[/tex] Subtraction property of Equality
6. [tex]m \angle A = m \angle B[/tex] Substitution property of Equality
7. [tex]\angle A \cong \angle B[/tex] Angle congruence postulate
When the measures of two angles are equal, then the angles are congruent by Angle congruence postulate.
Answer:
1. and are supplementary Given
2. Def of supplementary angles
3. Given
4. Substitution property of Equality
5. Subtraction property of Equality
6. Substitution property of Equality
7. Angle congruence postulate
When the measures of two angles are equal, then the angles are congruent by Angle congruence postulate.
Step-by-step explanation:
Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form
The standard form of a line:
[tex]Ax+By=C[/tex]
We have the equation of a line in the slope-point form:
[tex]y-3=\dfrac{1}{2}(x+6)[/tex] use distributive property
[tex]y-3=\dfrac{1}{2}x+3[/tex] add 3 to both sides
[tex]y=\dfrac{1}{2}x+6[/tex] multiply both sides by 2
[tex]2y=x+12[/tex] subtract x from both sides
[tex]-x+2y=12[/tex] change the signs
[tex]x-2y=-12[/tex]
Increasing the price of an item decreases the amount of people willing to buy it
Independent....
Dependent ...
In economic theory, the price of a product is considered the independent variable, and the quantity of the product demanded by consumers is considered the dependent variable. As price (independent variable) increases, the quantity demanded (dependent variable) decreases.
Explanation:In the context of economics and specifically, the law of demand, the price of a commodity is the independent variable and the quantity demanded is the dependent variable. This means that the amount of a product that consumers are willing to buy (dependent variable) can change based on the price of the product (independent variable). If a price changes, if all other factors remain constant, the quantity demanded will react accordingly. For example, if the price of an item increases, the quantity demanded decreases because consumers are less willing to buy the item due to its high price. Conversely, if the price decreases, the quantity demanded increases because the product becomes more affordable to consumers.
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Amanda is adding the numbers below.
3.7 x 10^20 + 4.45x10^20
What is the sum written in scientific notation?
add 3.7 and 4.45 make sure to change it back to standard you'll get 815000000000000000000. move decimal between first and second digit which means you moved it to the left 18 times and your answer will be 8.15 x 10 ^18 I hope its right :( please don't judge if wrong :((( lol
Answer: 8.15 x 10²⁰
Step-by-step explanation:
In order to add or subtract, they must both have the same power - think of the power as "like terms". In this problem they already have the same power (10²⁰) so we don't need to manipulate them to have the same power. We can just add their coefficients (3.7 and 4.45).
3.7 x 10²⁰
+ 4.45 x 10²⁰
8.15 x 10²⁰
Which function is represented by the graph?
f(x) = −|x − 3| + 4
f(x) = −|x + 3| + 4
f(x) = −|x − 4| + 3
f(x) = −|x + 4| + 3
Answer:
Step-by-step explanation:
It is f(x) = −|x + 4| + 3 because the +4 in the absolute value sign moves the graph 4 spots to the left and the +3 moves the graph 3 spots up.
Answer:
f(x) = −|x + 4| + 3
Step-by-step explanation:
since, the value of the function at x=0 is -1
so, we will check which functions gives the same value
f(x) = −|x − 3| + 4 at x=0 it gives 1
f(x) = −|x + 3| + 4 at x=0 it also gives 1
f(x) = −|x − 4| + 3 at x=0 it gives -1
f(x) = −|x + 4| + 3 at x=0 it also gives -1
so, we have discarded first two options
Now at x=4 function gives negative value
f(x) = −|x − 4| + 3 at x=4 it gives 3
f(x) = −|x + 4| + 3 whereas at x=4 it gives -5
Hence, the function represented by the graph is:
f(x) = −|x + 4| + 3
A 16 foot board is to be cut up into lengths 3 1/4 feet long. How many boards can be cut?
16/13/4=
64/13
4and12/13
From a 16 foot board, 4 full pieces each 3 1/4 feet long can be cut. Moreover, 16.0 inches, a common spacing for vertical studs, is equivalent to 40.64 centimeters.
To determine how many lengths of 3 1/4 feet can be cut from a 16 foot board, we need to divide the total length of the board by the length of each desired piece. First, we convert the mixed number 3 1/4 to an improper fraction, 13/4. Then, we perform the division: 16 feet divided by 13/4 feet.
This calculation can be set up as follows:
(16 feet) \/ (13/4 feet) = (16 feet) × (4/13) = (64/13) feet = 4 remainder 12/13
Therefore, you can cut 4 full pieces that are 3 1/4 feet long from a 16 foot board, with a remainder of 12/13 of a foot.
If we want to convert the placement of vertical studs, which are typically 16 inches apart, to centimeters, we use the conversion factor that 1 inch equals 2.54 centimeters. 16.0 inches multiplied by 2.54 equals 40.64 centimeters.
Use the table below to find the cost of buying 50 balloons
it 200 each number the raito is ballones times 4
What is the smallest integer x, for which x, x+5, and 2x−15 can be the lengths of the sides of a triangle?
the smallest integer x can be is 11 because it has to be greater than 10
The smallest integer x, for which x, x+5, and 2x−15 can be the lengths of the sides of a triangle is 11
Using the triangular theorem which states that the sum of any two sides of a triangle must be less than the third side.
Given the side length of the triangle to be a, b and c
a = x
b = x+5
c = 2x - 15
According to the theorem;
b < a+c
x+5 < x + 2x - 15
x + 5 < 3x - 15
Collect the like terms
x - 3x < -15 - 5
-2x < -20
x > -20/-2
x > 10
Since x is greater than 10, let x be 11
Hence the smallest integer x, for which x, x+5, and 2x−15 can be the lengths of the sides of a triangle is 11
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If a store advertised a sale that gave a customer a 1/4 discount,what is the fraction part of the original price that the customer pay?
25x5+15x3-40x2 anyone?
25 * 5 + 15 * 3 - 40 * 2 =
125 + 45 - 80 =
170 - 80 =
90
11 1/6 x 4 2/7 simplest form
a.47 13/21
b.44 2/63
c.47 39/63
d. 44 7/18
[tex]11\dfrac{1}{6}\cdot4\dfrac{2}{7}=\dfrac{11\cdot6+1}{6}\cdot\dfrac{4\cdot7+2}{7}=\dfrac{67}{6}\cdot\dfrac{30}{7}=\dfrac{67}{1}\cdot\dfrac{5}{7}=\dfrac{335}{7}\\\\=47\dfrac{6}{7}[/tex]
You put x from your question its going to be multiply by the fraction.
And it gave us ⇒ [tex]11\frac{1}{6}* 4 \frac{2}{7}[/tex]
First you had to convert by the mixed numbers into improper fractions.
And it gave us ⇒ [tex]=\frac{67}{6}*4\frac{2}{7}[/tex]
Then you convert by the mixed numbers again into improper fractions.
And it gave us ⇒ [tex]\frac{67}{6}* \frac{30}{7}[/tex]
You can also cross it out by the common factor of 6.
And it gave ⇒ [tex]\frac{67}{1}*\frac{5}{7}[/tex]
Next you had to multiply by the fraction.
And it gave us ⇒ [tex]\frac{67*5}{1*7}[/tex]
And then multiply the numbers.
[tex]67*5=335[/tex]
And it gave us ⇒ [tex]\frac{335}{1*7}[/tex]
You can also multiply the numbers again.
[tex]7*1=7[/tex]
And it gave us ⇒ [tex]\frac{335}{7}[/tex]
Finally you had to convert into the improper fraction to mixed their numbers.
[tex]\frac{335}{7}=47 \frac{6}{7}[/tex]
Final answer ⇒ 47 6/7
You can also round up to the nearest tenths is 47.90= 48.00
Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie
If the sum of a number and nine is doubled, the result is eight less than the number. Find the number.
Equation
Let the number = x
2*(x + 9) = x - 8
Solve
2(x + 9) = x - 8 Remove the brackets on the left
2x + 18 = x - 8 Subtract x from both sides
2x - x + 18 = - 8 2x and - x will combine
x + 18 = - 8 Subtract 18 from both sides
x = -8 - 18
x = - 26
Check
LHS
2(-26 + 9)
2(-17)
-34
RHS
x - 8
-26 - 8
- 34 and the RHS = LHS and they check
Your number would be -26
Sorry if this is wrong but I'm pretty sure its right
Mercury orbits the sun on 87 24/25. Write this number mixed number as a decimal.
the answer is 87.96 your gonna have to trust me I don't have enough time to explain right now.
The equation of the line through point (- 4, 0) and parallel to the y-axis is
x = -4
y = -4
x + y = -4
Answer:
[tex]\text{The equation of line is }x=-4[/tex]
Step-by-step explanation:
Given that line is passing through the point (-4, 0) and parallel to the y-axis.
we have to find the equation of the line.
[tex]\text{As the slope of y-axis is }\infty\text{ i.e }\frac{1}{0}[/tex]
Since the slope of parallel lines are equal therefore we have to find the equation of line with slope infinity and passing through the point (-4, 0).
The equation of line pass through the point (x',y') with slope m is
[tex]y-y'=m(x-x')[/tex]
The equation of line with slope infinity and passing through the point (-4, 0) is
[tex]y-0=\frac{1}{0}(x-(-4))[/tex]
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
which is required equation.
Hence, option 1 is correct.
every sixth visitor to an animal shelter gets a free animal calendar every 20th visitor gets a free animal toy which visitor each day will be the first want to get both the calendar and the animal toy
Sophia buys a reel of thread for sewing. There are 10m of thread on the reel. She uses 210cm. How much is left on the reel in centimeters?
Answer:
7.9 meters left. or 790 cm
Step-by-step explanation:
Health department lab officials detected 120,000 bacteria on a dessert plate that has a diameter of 6 inches. What's the approximate population density of the bacteria on the dish?
A. 1,062 bacteria/square inch
B. 1,111 bacteria/square inch
C. 12,739 bacteria/square inch
D. 4,246 bacteria/square inch
Answer:
The correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch
Step-by-step explanation:
They give us the diameter of the plate, then the first step is to calculate their area.
The area of a circle according to the diameter is:
[tex]A = \frac{\pi}{4}(d) ^ 2[/tex]
Where d is the diameter.
So:
[tex]A = \frac{\pi}{4}36\\ A = 9\pi\\ A = 28.274.inches ^ 2[/tex]
Now, to find the number of bacteria in per square inch, we divide [tex]\frac{120000}{28.274} = 4244.132.[/tex]
So, the correct answer is option D, the approximate population density of the bacteria in the dish is 4,246 bacteria / square inch
200 is 90 more than five times d. Find d.
Let:
Equation:
Solve:
200-90= the answer then find d which is easy
A square has a are of 81 feet what is the length of each side
A sewing club used 48 feet of fabric to make 8 blankets.At this rate how many blankets can be made from 12 yards of fabric
I am a product one of my factors is 7 the sum of my factors eauals 11 what number am i
11-7=4
7*4=28
28is your answer
Rewrite the fractions 1/4 and 5/6 with a least common denominator
Answer:
1/4 = 3/12 and 1/6 = 2/12
Step-by-step explanation:
We are given two fractions with denominator 4 and 6.
To find the least common denominator, of 4 and 6.
Factorise 4 and 6.
4 = 2x2
6=2x3
Hence Least common denominator = 2x2x3 =12
Make the given fractions to equivalent fractions with common denominator 12.
1/4 = 1(3)/4(3) = 3/12 and
1/6 = 1(2)/6(2)= 2/12
Hence answer would be
3/12 and 2/12
To rewrite the fractions 1/4 and 5/6 with a least common denominator, find the least common multiple (LCM) of the denominators, which is 12. Multiply the numerators and denominators of each fraction by the appropriate factor to obtain the rewritten fractions.
Explanation:To rewrite the fractions 1/4 and 5/6 with a least common denominator, we need to find the least common multiple (LCM) of the denominators, which in this case are 4 and 6.
To find the LCM, we can list the multiples of each denominator until we find a common multiple. For 4, the multiples are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ... And for 6, the multiples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... The first common multiple we find is 12, so that is the least common denominator (LCD).
To rewrite 1/4 with the LCD of 12, we need to multiply both the numerator and the denominator by 3: (1 * 3) / (4 * 3) = 3/12.
To rewrite 5/6 with the LCD of 12, we need to multiply both the numerator and the denominator by 2: (5 * 2) / (6 * 2) = 10/12.
AB = 44 + 3x BC = 33 + x CD = 64 − x AD = 48 − 2x Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Prove that quadrilateral ABCD is a parallelogram by finding the lengths (in centimeters) of the opposite side pairs?
Given : AB = 44 + 3x
BC = 33 + x
CD = 64 − x
AD = 48 − 2x.
Opposite sides are AB and CD.
BC and AD.
Setting AB equals CD
We get
44 + 3x = 64 − x
Adding x on both sides, we get
44 + 3x+x = 64 − x+x
44 +4x = 64.
Subtracting 44 from both sides, we get
44-44 +4x = 64 - 44.
4x =20
Dividing both sides by 4, we get
x= 5.
Let us plug x=5 to find the length of each side, we get
AB = 44 + 3x = 44 +3(5) = 44 + 15 = 59 cm
BC = 33 + x = 33 + 5 = 38 cm
CD = 64 − x = 64 - 5 = 59 cm
AD = 48 − 2x = 48 - 2(5) = 48 - 10 = 38 cm.
We can see that AB = CD = 59 cm and BC = AD = 38 cm.Therefore, quadrilateral ABCD is a parallelogram.please help me on this math question
Answer:
$5.99
Step-by-step explanation:
Purchase amounts are rounded to the penny.
(3/4 lb)×$7.99/lb = $5.9925 ≈ $5.99
What is the volume of the square pyramid with base edges 12cm height 10cm
V=480cm³ . 10 and 12
Given e (-2,3) f(-2,-2) g(3,-2) h(3,3) prove efgh is a rhombus
the answer to this question (-2,3)
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys chose fishing. The remaining boys did not complete the survey. Which expression gives the percent of survey participants who chose fishing?
Answer:
Expression for percent of survey participants who chose fishing = [tex]\frac{29}{47} *100[/tex]
Explanation:
Total number of boys = 60
Number of boys who took part in survey = 18 + 29 =47
Number of boys who chose fishing = 29.
Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100
Percentage of boys who chose fishing = (29/47)x100
Expression for percent of survey participants who chose fishing = [tex]\frac{29}{47} *100[/tex]
To find the percent of survey participants who chose fishing, divide the number of boys who chose fishing by the total number of boys who completed the survey and multiply by 100. In this case, the percent is 48.33%.
Explanation:To find the percent of survey participants who chose fishing, we need to divide the number of boys who chose fishing by the total number of boys who completed the survey and then multiply by 100. In this case, 29 boys chose fishing out of 60 boys who completed the survey. So the expression that gives the percent of survey participants who chose fishing is:
(29/60) * 100 = 48.33%
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HELP NEEDED!!! WILL GIVE 5 STARS!
A snack of an apple, a brownie, and a cheese stick has 270 calories. Two brownies and an apple have 290 calories. Two apples and three cheese sticks have 420 calories. How many calories are in each item?
Let a=calories in an apple, b=calories in a brownie, and c=calories in a cheese stick.
The slope of the following graph represents _____.
speed
velocity
acceleration
momentum
Answer:
Displacement versus time is velocity
Step-by-step explanation:
Displacement versus time is velocity
Acceleration is change in velocity over time
Speed is distance over time
Momentum is mass times velocity
The slope of a graph in physics can represent several different concepts, depending on the graph. On a distance-time graph, the slope stands for speed or velocity. Meanwhile, on a velocity-time graph, the slope signifies acceleration. Momentum is generally not represented by the slope.
Explanation:In physics, the slope of a graph can indeed represent several concepts, but only when plotted correctly. These concepts include speed, velocity, acceleration, and momentum. However, when we're talking about a distance-time graph, the slope typically represents speed or velocity, depending on whether the direction of movement is accounted for or not. An increasing slope on such a graph indicates objects are moving at a faster speed or velocity over time.
On the other hand, in a velocity-time graph, the slope represents acceleration. Positive acceleration causes the velocity of an object to increase, while negative acceleration, or deceleration, slows it down. Similarly, if there is no change in the slope, it means the object is moving at a constant velocity.
Momentum, in general, is not represented by the slope of a graph but rather is the product of an object's mass and its velocity.
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