The breadth of the rectangle is 7cm or 70 mm.
It is given in the question that:-
Area of the rectangle = 98 square cm
Length of the rectangle = 140 mm
We have to find the breadth of the rectangle.
We know that,
1 cm = 10 mm
Hence,
140 mm = 14 cm
Also,
Area of a rectangle = (Length of the rectangle)* (Breadth of the rectangle)
Hence, we can write
98 = 14*(Breadth of the rectangle)
Breadth of the rectangle = 98/14 = 7 cm
Hence, the breadth of the rectangle is 7 cm or 70 mm.
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2.1 liters of coffee were equally distributed to 30 cups. How many milliliters of coffee were in each cup help
30 cups of coffee, total 2.1 liters, were distributed equally. 70 milliliters of coffee were in each up.
Given that,
30 cups of coffee, total 2.1 liters, were distributed equally.
We have to find how much milliliters of coffee in each cup.
First we have to convert liters into milliliters.
We know 1 liter=1000 milliliters
So, now we convert 2.1 liters to __ milliliters.
=2.1×1000 milliliters
=21×1/10×1000
=21×100
=2100 milliliters.
So, 2100 milliliters of coffee available for distribution.
We know,
30 cups =2100 milliliters
Then
1 cup = ___ milliliters
1cup=2100/30
1cup=210/3
1 cup= 70
Therefore, 70 milliliters of coffee were in each up.
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At a basketball game a vendor sold a combined total of 186 sodas and hot dogs. The number of hot dogs sold was 56 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold
URGENT!! ILL GIVE
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If a right triangle has sides 5, 12, and 13 units, then a triangle with sides 10, 24, and 26 is also a right triangle
True, because multiples of a right triangle triple produces a similar right triangle
False, because doubling the sides of the triangle does not keep the angles congruent
Answer:
True, because multiples of a right triangle triple produces a similar right triangle
Step-by-step explanation:
Ali , Bilal and Karim rent a house for 3 years at Rs.1800 per annum , Ali remains in the whole time , Bilal stay for 17 months and Karim 14/3 months during the occupancy of Bilal. How much must he each pay for the rent.
Rent paid by each Ali, Bilal and Karim is Rs.3775, Rs.925 and Rs.700 respectively.
A fraction is a valued that is expressed as a part of a whole. Here, the rent paid by each the members is a fraction of the total rent for the 3 years .
Now, according to the question
Karim stayed for 14/3 months in 3 years that is = 14/3*3
= 14 months (1 year and 2 months)
rent paid by each of them for first year = 1800/3
= Rs.600
As, we know that 1800 is paid for 12 months ( 1 year )
So, rent for 1 month = 1800/12
= Rs.150
rent paid by each of them for month = Rs.150/3
= Rs.50
Karim stayed for 2 more months, so he paid rent for 2 months = Rs.50*2
= Rs.100
So. total rent paid by Karin is = 600+100
= Rs.700
For Bilal, he stayed for 17 months that is 1 year and 5 more months
rent he paid for 1 year = Rs.600
rent he paid for 2 months when Karim was there too = Rs.100
rent he paid with Ali when Karim was not there for 3 months = 150/2*3
= Rs.225
So, total rent paid by Bilal is = 600+100+225
= Rs.925
Total rent for 3 years is = 1800*3
= Rs.5400
contribution of Bilal and Karim in the total rent for 3 year = 700+925
= Rs.1625
So, rent paid by Ali = 5400-1625
= Rs.3775
Therefore, we can conclude that the Rent paid by each Ali, Bilal and Karim is Rs.3775, Rs.925 and Rs.700 respectively.
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b) Work out the 30th term in this sequence.
4,13,22,31
Answer:
274
Step-by-step explanation:
At the mall, Timmy bought a T-shirt and a book for a total of $23. The book cost $12. How much did the T-shirt cost? Let x represent the unknown information. Write an addition equation that models the problem
Five hundred twelve thousandths in a decimal
Answer:
0.512
Step-by-step explanation:
Answer:
0.512
Step-by-step explanation:
[tex]\frac{512}{1000} =0.512[/tex]
Hope this helps
The local bakery sells both strawberry and chocolate cupcakes. The ratio to strawberry cupcakes to chocolate cupcakes is 8:4. If they baked 240 strawberry cupcakes How many chocolate cupcakes did they bake?
The local bakery baked 120 chocolate cupcakes
The ratio of the strawberry cupcake to chocolate cupcake = 8:4
Number of strawberry cupcakes baked = 240
Ratios: Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.
Let x represent the total number of cupcakes baked by the bakery
The Sum of the ratio is 8+4 = 12
So, the fraction of strawberry cupcakes baked = 8/12
The total number of cupcakes:
= 8/12 of x =240
8/12x = 240
x = 240*12/8
= 360
So, the number of chocolate cupcakes = 4/12 of 360
= 120
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Plant A Plant B Weeks Height (inches) Weeks Height (inches) 0 6 0 4 2 8 2 7 Part. To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable, and which is the dependent? Explain your answer.
The independent variable, x in this scenario is; weeks.
The dependent variable, y in this scenario is; height.
Which of the two variables is the dependent and which is the independent variable?It follows from the task content that the two variables which describe the growth model of the plants are; weeks and height.
Since, independent variable as the name implies is one whose values do not arrive from evaluation using other values, the independent variable in this scenario is; weeks.
However, by logic, the height of the plant is determined by the number of weeks and hence is dependent on the variable weeks. Therefore, the dependent variable is; height.
Ultimately, the independent and dependent variables are; weeks and height respectively.
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Solve 4x + 10 = 6x + 2.
Answer:
x=4
Step-by-step explanation:
4x+10=6x+2
Subtract 6x from both sides.
4x+10−6x=2
Combine 4x and −6x to get −2x.
−2x+10=2
Subtract 10 from both sides.
−2x=2−10
Subtract 10 from 2 to get −8.
−2x=−8
Divide both sides by −2.
x=
−2
−8
Divide −8 by −2 to get 4.
x=4
Answer: x=4
Step-by-step explanation:
1. Group all x terms on the left side of the equation
2. Group all constants on the right side of the equation
3. Isolate the x
If this helped please mark my answer as the brainliest, thank you!
steps below.
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The strategy we will use is to first draw the diagonal; drop a right triangle to see the vertical distance of 6 units and the horizontal distance of 9 units; use the Pythagorean theorem to solve for the diagonal distance, approximately 10.8 units.
We need to find a strategy to find the distance from the bumper cars to the roller coaster.We are given a graph.The coordinates of the bumper cars are (-5, 4).The coordinates of the roller coaster are (4, -2).We can start by drawing the diagonal connecting the two points.We then drop a right triangle to see the vertical distance of 6 units and the horizontal distance of 9 units.We can now use the Pythagorean theorem to solve for the distance of the diagonal.Let the distance between the bumper cars and the roller coaster be "d".d² = 6² + 9²d² = 36 + 81d² = 117d = √117d = 10.8 unitsTo learn more about Pythagorean theorem, visit :
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What is the image of the point (8,4)(8,4) after a rotation of 90^{\circ}90
∘
counterclockwise about the origin?
The image of the point (8,4) after a rotation of 90° counterclockwise about the origin is (-y,x)=(-4,8).
Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about its origin (-y,x). In other words, reverse x and y and make y negative.
Given the point is (8,4)
After rotating the point to 90° counterclockwise about the origin, we get the point as (-4,8).
Terms like clockwise and anticlockwise are only applicable to rotating motions. A clock's hands move in the same direction as something moving in a clockwise manner. starting at the top and moving to the right, then down, then left, and then back up. The opposing direction of rotation or revolution might be thought of as anticlockwise.
Hence we get the point as (-4,8)
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pls help. hhhhhhhhhhhh
Answer: B
y=3/5 x +4
Step-by-step explanation:
Insert each equasion into the graph with the points from the table and whichever line , lines up with the points is your answer
is 5xy and -8xy similiar
explain why
The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.
As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.
We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."
Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.
Algebraic expressions: An expression which is constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)Like terms: The definition of similar words is the terms that have the same variable raised to the same power. Only the numerical coefficients can alter in terms that are similar to algebra. We may combine similar words to make algebraic expressions simpler, making it much simpler to determine the expression's outcome.
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Which situations represent linear functions? Check all that apply.
The temperature rises and falls over the course of a day. Temperature is a function of time.
A baseball is hit into the outfield. The height of the ball is a function of time.
A car goes 55 mph on the highway. Distance is a function of time.
A child grew 2 inches this year and 1 inch last year. Height is a function of time.
A movie director makes 2 movies per year. The number of movies is a function of the years.
2 Answers:
Choice C and choice E
======================================================
Explanation:
Choice A is ruled out because of the phrasing "rises and falls". A linear function can't do both rising and falling. You must only pick one direction to aim for. Choice B is ruled out for similar reasoning. A parabola is likely a better option for choice B.
Choice C is linear assuming the car stays at 55 mph. Recall that distance = rate*time. In this case, the equation is y = 55x where x is the number of hours and y is the distance traveled in miles. As an example, x = 10 hours leads to y = 550 miles traveled.
Choice D isn't linear. The increase of 2 doesn't match with the increase of 1. Linear functions must have the same amount of increase over the same time gap.
Choice E is linear and the equation is y = 2x, where x is the number of years and y is the number of movies made total. For example, at year x = 10, the director has made y = 2x = 2*10 = 20 movies total.
---------------
If in doubt, graph the situation. If you get a straight line, then the equation is linear.
Answer: c and e
Step-by-step explanation:
what number can be divided into 2 and 9 equal groups without a remainder
One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:
[tex]2\cdot9=18[/tex]So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:
[tex]\begin{gathered} \frac{18}{2}=9 \\ \frac{18}{9}=2 \end{gathered}[/tex]It is, therefore the number is 18.
5/6x - 9 + 3 - 2/3 simplified
Hey there!
Not very sure if you mean [tex](\frac{5}{6x} )[/tex] or [tex](\frac{5}{6}x)[/tex], but I'll solve both
[tex]\frac{5}{6} x-9+3-\frac{2}{3}[/tex]
First step is to simplify:
[tex]\frac{5}{6} x+-9+3+\frac{-2}{3}[/tex]
Now, we need to combine Like Terms:
[tex](\frac{5}{6}x)+(-9+3+\frac{-2}{3} )[/tex]
[tex]\frac{5}{6} x+\frac{-20}{3}[/tex]
[tex]\frac{5}{6x} -9+3-\frac{2}{3}[/tex]
Simplify:
[tex]\frac{5(1-8x)}{6x} or\frac{-40x+5}{6x}[/tex]
Hope this helps!
What is the slope of this line? Responses −34 negative 3 over 4 −3 negative 3 4 4 34 3 over 4 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
Answer: The slope would be negative 3/4, so -3/4.
Which rule must be used to find the number of positive integers less than 1000 that are divisible by 7?.
The number of positive integers smaller than 1000 that are divisible by 7 must be determined using the rule of arithmetic progression.
There are 142 positive integers that are divisible by 7 that are less than 1000.
The positive numbers below 1000 that can be divided by seven include
7, 14, 21, 28,..........994.
The final number under 1000 that is divisible by 7 is 994.
An arithmetic progression's common form is [tex]T_{n} = a + (n-1)d[/tex]
where d is the common difference, n is the number of terms, and a is the first term.
We've :
a is 7 and d is 7.
When we generalize these values, we get at:
[tex]T_{n} = a + (n-1)d\\994 = 7 + (n-1)7\\994 -7 = 7n - 7\\994 = 7n \\n =\frac{994}{7} =142[/tex]
There are hence 142 positive integers below 1000 that are divisible by 7.
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five times the difference of a number and two is seven more than that number 12) twice a number decreased by four is greater than ten, what numbers satisfy this condition? 13) twice a number decreased by two is equivalent to than number increased by five.
The 3 numbers are 17/4, and the number is equal to or greater than 8, and 7 respectively. We can solve the equation using a linear equation in one variable.
What is a linear equation?A linear equation is one in which the variable's maximum power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.
1) Given that
five times the difference between a number and two is seven more than that number
Hence, by forming an equation we get
5(n-2) = n+7
5n -10 = n+7
4n = 17
n = 17/4
2)Given that
twice a number decreased by four is greater than ten, what numbers satisfy this condition
Hence, by forming an equation we get
2n -4 > 10
2n -4+4 > 10+4
2n > 14
2n / 2 > 14/2
n > 7
hence, a number greater than 7 will satisfy the equation.
3) Given that
twice a number decreased by two is equivalent to that number increased by five.
2n-2 =n +5
n = 7
Hence the number is 7
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Write this number in standard form 0.000000005009
Answer: 5.009 x 10^-9
Step-by-step explanation:
If APQR = A TSR, what are the congruent corresponding parts?
The most appropriate choice for congruency of triangles will be given by -
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
What is congruency of triangle?
Two triangles are said to be congruent if all the corrosponding sides and corrosponding angles of the triangles are equals.
There are five axioms of congruency of triangles. They are-
SSS axiom, ASA axiom, AAS axiom, RHS axiom, SAS axiom
Here,
[tex]\Delta PQR \cong \Delta TSR\\[/tex]
Congruent Corrosponding parts
PQ = SR
QR = ST
PR = RT
∠QPR = SRT
∠QRP = ∠STR
∠PQR = ∠RST
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A large fitness center offers a track, weight room, and pool. the fitness center charges $29 per month for a basic membership, and there is an additional charge of $6 for each hour of pool use. the fitness center charges by the quarter hour for the pool. what is a viable solution for the number of hours used in the pool and the total monthly cost?(1 point)
Answer:
6.8 hours of pool use for a total monthly charge of $69.80
Step-by-step explanation:
6.8(6)+29=69.80
is 5 kg more than 0.5 kg?
Answer:
yes because 5 is bigger than 0.5 and we are using the same type of mesuremenmeasurement
State if the three numbers can be the measures of the sides of a triangle.
1) 9, 7, 13
2) 26, 12, 11
3) 11, 2,9
4) 6, 11, 12
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
5) 12,9
7) 11,6
6) 8, 11
8) 12,8
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
What is triangle inequality ?According to the Triangle Inequality Theorem, the total of any two sides in a triangle must be greater than the third side.
Two arcs in a triangle will only come together at their points of intersection if the sum of their radii is larger than the separation between their centers.
In a triangle, the difference between any two sides will be smaller than the third side if any two sides' sums are more than the third.
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
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solve n-3 = 4 x 3 - n/ 7
Solve n-3 = 4 x 3 - n/7 : n = 105/8
What is Algebra?
Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.
To solve the equation :
n-3 = 4 x 3 - n/7
Solve for n
n-3 = 4 x 3 - n/7
n - 3 = 12 - n/7
n = 12 + 3 - n/7
n = 15 - n/7
n = (105 - n)/7
7n = 105 - n
7n + n = 105
8n = 105
n = 105/8
Hence, solution for n-3 = 4 x 3 - n/7 is n = 105/8
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what is the equation of a line that passes through -5,0 and 4,3
PLEASE HELP!!!!
Part A: Given cosine of theta is equal to radical 2 over 2 comma determine three possible angles θ on the domain [0,∞). (5 points)
Part B: Given θ = 585°, convert the value of θ to radians and find sec θ. (5 points)
a) The angles associated with the cosine function are θ₁ = 45°, θ₂ = 315° and θ₃ = 405°.
b) The secant function of 585° is equal to - √2.
How to determine the value of a trigonometric function associated with a given angle
Graphically speaking, trigonometric functions are relations between two sides of a right triangles related to an angle. There are six trigonometric functions: (i) Two fundamentals (sine, cosine), (ii) Four derivates (tangent, cotangent, secant, cosecant). In the first part, we need to find all the possible angles such that the following trigonometric function is met:
cos θ = √2 / 2
The angles are located in the first and fourth quadrants, respectively. The solutions are θ₁ = 45°, θ₂ = 315° and θ₃ = 405°, respectively.
Now, we need to determine the secant function of 585°. Since the secant function has period of 360°, then we must find an angle coterminal to 585° that is between 0° and 360°:
θ' = 585° - 360°
θ' = 225°
And the trigonometric function is rewritten in terms of fundamental trigonometric functions:
x = 1 / cos θ'
x = 1 / cos 225°
x = 1 / (- √2 / 2)
x = - 2 / √2
x = - √2
The secant function of 585° is equal to - √2.
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A salesman earns 20% commission on all the merchandise that he sells. Last month he sold 800$ worth of merchandise. How much commission (in dollars) did he earn last month?
The commission earned by the salesman last month is $160.
What is termed as the commission?A commission is additional pay earned based on the job performance. When you agree to the a commission-based position or commission framework (mostly by signing the agreement), users agree to be paid a set amount of money based on achieving a specific goal—goods marketed, meetings closed, recruits placed, etc.For the given question,
The commission earned by the salesman is 20% on his sells.
Last month total sell = $800.
Let x be the total commission earned.
Then,
20% of 800 = x
x = 20× 800 / 100
x = 160
Thus, the commission earned by the salesman last month is $160.
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I WILL GIVE YOU BRAINLIST
Answer: take another pic but put it closer
Step-by-step explanation:
