An inequality that matches the wingspan of the common sparrow is 9 ≤ x ≤ 15, where x represents the wingspan of the common sparrow.
In this question, we have been given a statement 'The common sparrow has a wingspan of 9 to 15 centimeters. '
We need to write an inequality that matches the wingspan of the common sparrow.
Let x represents the wingspan of the common sparrow.
According to given statement, the common sparrow has a wingspan of 9 to 15 centimeters.
So, the required inequality would be,
9 ≤ x ≤ 15
Therefore, an inequality that matches the wingspan of the common sparrow is 9 ≤ x ≤ 15, where x represents the wingspan of the common sparrow.
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3. If the ratio of yellow pigment to blue pigment in a shade of green paint is 2:3, how many
drops of yellow pigment will be needed if 12 drops of blue are used?
Drops of yellow pigment is 8.
A ratio is a comparison of two identical values that makes it simple to compare them. This is how a fraction with a numerator and denominator comparison is expressed. Depending on the ratio formula employed in various parts of mathematical computation, the definitions of the numerator and denominator may change.
For a certain shade of green, y = yellow and b = blue, where y/b = 2/3.
How many yellow drips are needed if there are 12 drops of blue,
y/b = 2/3 = x/12
= 2 × 12 = 3 × x
= 24 = 3x
= 24/3 = x
= x = 8
If you have 12 droplets of blue, you will need 8 drops of yellow.
y/b = 2/3
y = 2/3 × b
Substituting the value b = 12
y = 2/3 × 12
y = 24/3 = 8
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what is 345x65 how do you should it
Answer: 22425
Step-by-step explanation: hope this helps!!
Answer:
22425
Step-by-step explanation:
b. What is another equation in point-slope form of the line through the points (-5,0) and (0,7) ? Explain.
0 - 7 = 7/5(-5 - 0) is the another equation in point-slope form of the line through the points (-5,0) and (0,7)
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
If we reverse the point (-5,0) and (0,7) as (0,7) and (-5,0) line we will get another equation for (-5,0) and (0,7)
We know that point-slope form = y₂ - y₁ = m(x₂ - x₁)
But first we will find slope(m)
We know that slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
For the pairs of points (0,7) and (-5,0)
⇒ m = [tex]\frac{0- 7}{-5 - 0}[/tex]
⇒ m = [tex]\frac{7}{5}[/tex]
⇒ m = 7/5
After we substitute the given information we get
0 - 7 = 7/5(-5 - 0)
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Alexi walks 27 meters south and 38 meters east to get around a lake. Her sister swims directly across the lake. How many meters to the nearest tenth did Alexi's sister save by swimming?
Alexi’s sister saved about 18.4 meters by swimming across the river.
In this question,
Alexi walks 27 meters south and 38 meters east to get around a lake. Her sister swims directly across the lake.
The south and east directions are perpendicular.
The distance across the south, east and across the river form a right triangle, with the distance across the river as hypotenuse of right triangle.
Let x be the distance across the river.
Using Pythagoras theorem,
27² + 38² = x²
729 + 1444 = x²
2173 = x²
x = 46.6
The distance saved would be the difference between the sum of the two legs of the triangle and the hypotenuse (distance across the river).
distance saved = (27+38) - 46.6
= 18.4
Therefore, Alexi’s sister saved about 18.4 meters by swimming across the river.
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a certain book has 396 pages the student has already read 3/8 of the pages and now picks up the book again at time x=0 minutes write the equation that describes the total number of pages of the book read as a function of the number of minutes of further reading. Approximately how much time,in mintues,Will it take to finish reading the book?
The equation that describes the total number of pages of the book read as a function of the number of minutes of further reading is; 2.67x minutes.
The time it will take to finish the whole 396 pages is; 113.3 minutes
How to solve Algebra Word Problems?We are told that the book has 396 pages. Now, the student has read 3/8 of this book.
Thus, number of pages the student has read so far = 3/8 * 396 = 148.5 pages
Now, let the time spent reading these 148.5 pages be x minutes. Thus;
Number of pages read per minute = 148.5/x pages per minute
Number of pages left to finish book = 396 - 148.5 = 247.5 pages
Thus, time to finish remaining pages = 247.5/(149.8/x ) = 1.67x
Thus, time it will take to finish the whole 396 pages = 1.67x + x = 2.67x minutes
The table showing the amount of pages that can be read for specific minutes is attached.
We see that 7 pages are read in two minutes. Thus;
x = (148.5 * 2)/7 = 42.42857 minutes
Thus, time to finish whole book = 2.67 * 42.42857 ≈ 113.3 minutes
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K
A woman traveled 2436.5 miles in 18 hours 15 minutes. Find the average speed of her flight in miles per hour. (Change
18 hours 15 minutes into hours and use the formula d=rt.)
The average speed of the woman's flight was mph.
(Do not round until the final answer. Then round to the nearest tenth of a mile per hour as needed?
Answer:
133.5
This is because transfer it to hours nd then divide and this is what you get
2,2y÷3-5y^2÷3+5y^3÷2,-4÷3+2y^2-y÷2,5y^2÷3+3y^3+3y+6÷5
Answer:
27#(2828282(2(282)2828282828282827
Determine whether y varies directly with x. if so, find the constant of variation k. 6y = 2x
Given the equation 6y = 2x, y varies directly with x and the constant of variation k has a value of 1/3.
There are two kinds of variations: direct and inverse.
Direct variation is a linear function defined by an equation of the form y = kx where variable y varies directly as x. On the other hand, inverse variation is a nonlinear function defined by an equation in the form y = k/x where variable y varies inversely as x.
Transforming 6y = 2x into a function of y,
y = 2/6 x
y = 1/3 x
where k = 1/3
Notice that it resembles the form y = kx which describes a direct variation between x and y.
Hence, the equation 6y = 2x shows that y varies directly with x and k = 1/3.
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60 POINTS AND BRAINLIE$T
Is this table linear? I need help!
Given from the table below, Is the table linear or nonlinear?
Answer:
The table is linear because as x increases by 1, y changes by an average rate of |2|. You can also notice the tables both end in |+1|, which shows that the table has a constant rate of change between the two points at the end. Thus, the table is linear. If the table was nonlinear, there would be no constant rate of change between the 2 sets of data.
A car gets miles per gallon of gas. It travels for 45 minutes at miles per hour. How many gallons of gas does the car use during that time? Show your work using units and Giant Ones.
Answer:
A car gets 25 miles per gallon of gas. It travels for.45 minutes at 65 miles per hour. How many gallons of gas does the car use during that time?
Answer:
25 miles per gallon of gas
travels 45 minutes and 65 miles per hour
Step-by-step explanation:
1, Find the difference
63-93
2, Find the difference
-4-5
3, Find the difference
-156-(-45)
Answer:
63-93=-30
-4-5=-9
-156-(-45)=-111
Step-by-step explanation:
63-93=-30
-4-5=-9
-156-(-45)=-156+45=-111
Hope this helps!
Please mark as brainliest if correct!
Have a great day!
Write each equation in slope-intercept form. x-2 y+3=1
The slope - intercept form of the equation x-2 y+3=1 is y = x/2 + 1 .
What is slope - intercept form?Simply said, the slope-intercept form is the technique to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.
The slope - intercept form is y = mx + c
The given equation is
x-2 y+3=1
Subtract 3 from both sides,
x - 2y = -2
Divide the whole equation by 2
x/2 - y = -1
Rearrange the equation -
y = x/2 + 1
So the equation in slope-intercept form is y = x/2 + 1 , where slope is 1/2 and c = 1.
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(25 points) Please help me I'm stuck on these 3 questions.
[tex] \bf\bigg( - 3 \frac{1}{4} d + \frac{3}{5} \bigg) - \bigg(2 \frac{7}{8} d + \frac{7}{10} \bigg)[/tex]
[tex] \bf \longrightarrow \boxed{ - \frac{49}{8}d - \frac{1}{10} } \: {\underline{\underline{ans}}}[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow \bigg( - 3 \frac{1}{4} d + \frac{3}{5} \bigg) - \bigg(2 \frac{7}{8} d + \frac{7}{10} \bigg)[/tex]
[tex] \bf \longrightarrow \bigg( - \frac{4 \times 3 + 1}{4} d + \frac{3}{5} \bigg ) - \bigg(\frac{8 \times 2 + 7}{8} d + \frac{7}{10} \bigg)[/tex]
[tex] \bf \longrightarrow\bigg( \frac{ - 13}{4}d + \frac{3}{5} \bigg) - \bigg( \frac{23}{8}d + \frac{7}{10} \bigg)[/tex]
[tex] \bf \longrightarrow \frac{ - 13}{4}d + \frac{3}{5} + \frac{ - 23}{8} d + \frac{ - 7}{10} [/tex]
[tex] \bf \longrightarrow \bigg( \frac{ - 13}{4}d + \frac{ - 23}{8}d \bigg) + \bigg( \frac{3}{5} + \frac{ - 7}{10} \bigg)[/tex]
[tex] \bf \longrightarrow \bigg( \frac{(2 \times - 13) + (1 \times - 23) }{8}d \bigg) + \bigg( \frac{(2 \times 3) + (1 \times - 7)}{10} \bigg)[/tex]
[tex] \bf \longrightarrow \bigg( \frac{ (- 26) + ( - 23)}{8}d \bigg) + \bigg( \frac{(6) + ( - 7)}{10} \bigg) [/tex]
[tex] \bf \longrightarrow\bigg( \frac{ - 26 - 23}{8} d\bigg) + \bigg( \frac{6 - 7}{10} \bigg)[/tex]
[tex] \bf \longrightarrow\frac{ - 49}{8}d + \frac{ - 1}{10} [/tex]
[tex] \bf \longrightarrow \boxed{ - \frac{49}{8}d - \frac{1}{10} } \: {\underline{\underline{ans}}}[/tex]
4) Which expression is equal to[tex] \bf\bigg( - 2 \frac{1}{2} n + \frac{1}{4} \bigg) + \bigg(3 \frac{3}{4} n - \frac{5}{8} \bigg)[/tex]
[tex] \bf \longrightarrow \boxed{\frac{5}{4}n - \frac{3}{8} } \: {\underline{\underline{ans}}}[/tex]
5) Which expression is equal to[tex] \bf\frac{1}{5}(3x + 10) - \frac{11}{15}x[/tex]
[tex] \bf \longrightarrow \boxed{\frac{-2}{15}x + 2} \: {\underline{\underline{ans}}}[/tex]
Step-by-step explanation:[tex] \bf\longrightarrow\frac{1}{5}(3x + 10) - \frac{11}{15}x[/tex]
[tex] \bf\longrightarrow\frac{1}{5}(3x) + \frac{1}{5}(10) + \frac{-11}{15}x[/tex]
[tex] \bf\longrightarrow\frac{3}{5}x + 2 + \frac{-11}{15}x[/tex]
[tex] \bf\longrightarrow\bigg(\frac{3}{5}x + \frac{-11}{15}x\bigg) + 2[/tex]
[tex] \bf \longrightarrow \boxed{\frac{-2}{15}x + 2} \: {\underline{\underline{ans}}}[/tex]
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer: The decimal moves 9 places left- 1.322 x 10^-9
Step-by-step explanation:
Answer: The decimal moves 9 places left 1.322 x 10^9 so option 5
Step-by-step explanation:
Choose the equation that represents the graph.
PLS NEED FAST IF CORRECT ILL AWARD U
y = −2x − 4
y = 2x + 4
y = −2x + 4
y = 2x − 4
Answer:
y=-2x - 4
Step-by-step explanation:
The slope is 2 and the y-intercpt is -4
I am 3 units less than -3
Hi!
your answer is 0
hope this helps!
The red snake is 12 inches long. It is 3 times as long as the green snake. Let n represent the green snake. Which number sentence below will solve for n?
A 3x6 inches = 18 inches
B 12 inches x 3 = 36 inches
C 12 inches divided 3= 4 inches
D 12 inches divided 4 = 3 inches
Answer: Your answer would be C.
Step-by-step explanation:
4 x 3 is 12 so, if you divide the 12 by 3 you will get 4 making C your answer.
Simplify by combining like terms.
5+10 s-8 s
By combining the like terms, the simplified form of the expression 5+10s-8s is 2s+5
Given,
The algebraic expression = 5+10s-8s
Combine the like terms
5+10s-8s = 5+2s
Simplified form is 2s+5
Hence, by combining the like terms, the simplified form of the expression 5+10s-8s is 2s+5
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Currently, you have $80 and your sister has $145. You decide to save six dollars per week of your allowance. Your sister decides to spend her whole allowance plus seven dollars each week. How many weeks will it take for you to have as much money as your sister? Please include an equation.
Answer:
It will take you nearly 11 weeks
Step-by-step explanation:
80+6x = 145
6x = 145-80
6x = 65
x = 65/6 (weeks)
For each function, find the y -intercept
y=-3(x+2)²-4 .
Answer:
-16
Step-by-step explanation:
The y-intercept is when x=0.
[tex]y=-3(0+2)^2-4 \\ \\ =-3(4)-4 \\ \\ =-16[/tex]
Find the length of a segment with endpoint coordinates (2,3) and (8,11)
Answer:
The length is 10.
Step-by-step explanation:
[tex] \sqrt{ {(8 - 2)}^{2} + {(11 - 3)}^{2} } [/tex]
[tex] \sqrt{ {6}^{2} + {8}^{2} } = \sqrt{100} = 10[/tex]
Solve each formula for the indicated variable. v = s² + 1/2 s h , for h
The solution of the formula v = s² + 1/2sh for the indicated variable h is 2(v - s²)/s.
According to the given question.
We have a formula v = s² + 1/2sh.
Since, we have to solve the above formula v = s² + 1/2sh for the indicated variable h.
Therefore, the solution of the above formula v = s² + 1/2sh for the indicated variable h is given by
v = s² + 1/2sh
⇒ v - s² = 1/2sh (subtracting s² from both the sides)
⇒ 2(v - s²) = sh (multiplying both the sides by 2)
⇒ 2(v - s²)/s = h (dividing both the sides by s)
⇒ h = 2(v - s²)/s
Hence, the solution of the formula v = s² + 1/2sh for the indicated variable h is 2(v - s²)/s.
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A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
Answer:
1/30 of a ton of the rock was left at the construction site
Hope this helps :)
Explanation below.
Step-by-step explanation:
1. Make the same denominators to add them which is 6 (LCM).
1/3 + 1/2
2/3 + 3/6 = 5/6
2. Make the same denominator to subtract them since had to take back 4/5 of a ton. 30 would be the Least Common Multiple of 6 and 5.
5/6 - 4/5
25/30 - 24/30 = 1/30
100%
Tia left at 4:30 p.m. to drive to school. It took her 25 minutes to drive there.
What time did Tia get to school? Move numbers to the clock to show the time.
How many ways can five of the nine U.S supreme court justices agree? (With solution)
Mathematics: Combinations and Permutations
The number of ways can five of the nine us supreme court justices agree is 3024 ways.
How to compute the value?The number of ways that five of the nine us supreme court justices agree will be calculated thus:
= 9! / 5!
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2) / (5 × 4 × 3 × 2)
= 3024
There'll be 3024 ways.
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What is each number in scientific notation?
Drag the answer into the box to match each number.
Answer: the 1st one is 8.55 X 10^-5 the second one is 8.55 X 10^5
Step-by-step explanation:
when the decimal goes to the left, the exponents it's negative; when it's to the right, the exponent is positive. so one the 1st problem the decimal moved 5 spaces to the left giving it the value of 8.55 X 10^-5
Find the 10 th term of each geometric sequence. a₉ =-5, r=-1/2
The 10th term of the geometric sequence as described in the task content is; 5/2.
What is the 10tg term of the geometric sequence as given in the task content?It follows from the task content that the 10th term of the sequence is to be determined.
On this note, since the 10th term differs from the 9th term by a factor of r, common ratio.
Hence; a(10) = a(9) × r
= -5 × (-1/2)
a(10) = 5/2.
Ultimately, the 10th term is; 5/2.
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Name the property of real numbers illustrated by the equation. -(a-b) = (-1)(a-b)
The equation -(a-b) = (-1)(a-b) has used the property of real numbers is Distributive Property.
Property of Real numbers:
A real number is a value that represents a quantity along a continuous number line. Real numbers can be ordered.
The properties of real numbers are,
Commutative propertyAssociative propertyDistributive propertyIdentity propertyGiven,
The equation is
-(a-b) = (-1)(a-b)
Now we have to find the property used here.
Based on the properties of real number,
The one that exactly matches the equation is Distributive property.
Because the definition of Distributive property is explained through the following,
For three numbers m, n, and r, which are real in nature, the distributive property is represented as:
m (n + r) = mn + mr
The same will be applied in the given equation also.
Therefore, the Distributive property is used in the equation.
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Write the first four terms of an arithmetic sequence with a common difference of 3 and a third term of 10 . Then write both a recursive definition and an explicit formula for this sequence.
The first fur terms of an arithmetic sequence are 4, 7, 10, 13
What is a arithmetic sequence?
It is a series of numbers where the gap between succeeding phrases is always the same. for instance, 5, 7, 9, 11, 13, and 15. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d.
Given, common difference = 3
third term = 10
formula of arithmetic sequence is an = a + (n-1)d
a3 = a + (3-1)3
10 = a + 6
a = 4
a1 = 4
a2 = a + (n-1)d
a2 = 4 + (1)3
a2 = 7
a4 = a + 3d
a4 = 4 + 3.3
a4 = 13
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Use the properties of logarithms to evaluate each expression. log₁₅ 25+log₁₅9
Expression is [tex]log_{15}25[/tex] + [tex]log_{15} 9[/tex] = 2
The properties of logarithms are
log ab = log a + log b
log a/b = log a - log b
Evaluating it:
[tex]log_{15} 25[/tex] + [tex]log_{15} 9[/tex]
= [tex]log_{15} 25*9[/tex]
= [tex]log_{15} 225[/tex]
= [tex]log_{15}15^{2}[/tex]
= 2[tex]log_{15} 15[/tex]
= 2 × 1
= 2
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