Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
what is unitary method ?In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.
given
Assume that "x" represents the total quantity of flowers sold on that particular day.
Roses made up 35% of the total number of flowers, which means that:
0.35x = 42
By dividing both sides by 0.35, we can determine the value of "x":
x = 120
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
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Choose the set of three sides that correctly matches each description. Each option will be used only once.
Answers:
30-60-90 triangle = 4, 8, 4*sqrt(3)45-45-90 triangle = 6, 6, 6*sqrt(2)Right triangle, but not special right triangle = 6, 8, 10Triangle but not a right triangle = 7, 8, 10Not a triangle = 7, 12, 19======================================================
Explanation:
The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.
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The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)
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The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.
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The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
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We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.
The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true
a+b > c
a+c > b
b+c > a
Arturo is making an appetizer for a dinner party. The recipe calls for 3 cloves of garlic for 7 servings. There are 50 people attending the dinner party, approximately how many cloves of garlic will Arturo need? (Round to the nearest whole number) *
Answer:
21.42 cloves of garlic
Step-by-step explanation:
50 ÷ 7 = 7.14
7.14 x 3 = 21.42
find the zeros the polynomial fx=2x^2 +9x-5
pls help with steps
Answer:
-5 ; 1/2
Step-by-step explanation:
GIVEN :-
A quadratic polynomial f(x) = 2x² + 9x - 5TO FIND :-
Zeroes of f(x) = 2x² + 9x - 5GENERAL CONCEPTS TO BE USED IN THIS QUESTION :-
Lets say there's a quadratic polynomial f(x) = ax² + bx + c , whose factors are (x - α) & (x - β). To find the values of x for which f(x) will be zero , equate the factors of f(x) with 0.
⇒ (x - α) = 0 & (x - β) = 0
⇒ x = α & x = β
Hence, it can be concluded that if (x - α) & (x - β) are factors of f(x) , then α & β are the roots of f(x).
SOLUTION :-
Factorise f(x) = 2x² + 9x - 5.
Split its middle term.[tex]=> 2x^2 + 10x - x - 5[/tex]
Take '2x' common from first two terms & '-1' from last two terms.[tex]=> 2x(x + 5) - 1(x + 5)[/tex]
Take (x + 5) common from the whole expression.[tex]=> (x + 5)(2x - 1)[/tex]
So , the factors of f(x) are (x + 5) & (2x - 1). Now equate the factors with zero.
⇒ (x + 5) = 0 & (2x - 1) = 0
⇒ x = -5 & x = 1/2
∴ The zeroes of f(x) = 2x² + 9x - 5 are (-5) & (1/2)
VERIFICATION :-
1) Put x = -5 in f(x) = 2x² + 9x - 5
⇒ f(-5) = 2(-5)² + 9×(-5) - 5
= 50 - 45 - 5
= 50 - 50
= 0
2) Put x = 1/2 in f(x) = 2x² + 9x - 5
[tex]f(\frac{1}{2} ) = 2 \times (\frac{1}{2} )^2 + 9 \times \frac{1}{2} - 5[/tex]
[tex]= 2 \times \frac{1}{4} + \frac{9}{2} - 5[/tex]
[tex]= \frac{1}{2} + \frac{9}{2} - 5[/tex]
[tex]= \frac{ 1 + 9 - 10}{2}[/tex]
[tex]= \frac{0}{2}[/tex]
[tex]= 0[/tex]
Find the composite area
Answer:
Area of the composite figure = 42 in²
Step-by-step explanation:
Composite area of the given figure = Area of the rectangle + Area of the right triangle
Area of the rectangle = Length × Width
= 6 × 5
= 30 in²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4)(6)[/tex]
= 12 in²
Area of the composite figure = 30 + 12
= 42 in²
which property of equality is used to solve -9.5=x/1.6
Answer:
x=-15.2
Step-by-step explanation:
AHHHHHHHHHHHHHHHHHHHH
Answer and Step-by-step explanation:
THE QUESTION IS NOT FROM A QUIZ, IT IS FROM A HOMEWORK ASSIGNMENT.
The unit rate is D. $4.00 per pound.
This is because we see on the graph that at 1 pound of fudge, the cost is 4 dollars.
When looking at the unit rate, you want to look at y value for when x is 1.
#teamtrees #PAW (Plant And Water)
Please help me with this question no links please.
Ahmad works 6 days daily 9:00am to 5:00pm at a local bank at a rate of $30 per hour.How much he earns daily from its job
Answer: $240
Step-by-step explanation:
Given
Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour
The total no of hours he worked on a single day is 8 hours
So, the amount he earns on daily basis is
[tex]\Rightarrow 8\times 30\\\Rightarrow \$240[/tex]
Round answer to the nearest hundredth
Answer:
10.7
Step-by-step explanation:
use
a^2+b^2=c^2
...........
Answer:
x ≈ 10.72
Step-by-step explanation:
Use the Pythagorean Theorem, or
a² + b² = c²
to find x.
a² + b² = c²
9² + x² = 14²
81 + x² = 196
Subtract 81 from both sides.
x² = 115
Take the square root.
x = √115
When rounded to the nearest hundredth as a decimal, the answer is
x = 10.72.
3.9047 rounded to the nearest thousandth
please help
Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.
Step-by-step explanation:
You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.
Can someone help me with this? 13 points!
depth at point B = 5 m
Step-by-step explanation:
y = -(2/5)x - 1
Point C is located 10 m from the origin O which means that x = 10. Using this value in our equation,
y = -(2/5)(10) - 1
= -4 - 1
= -5
What is the area of the triangle?
2
2
Answer:
A=h(b)b/2
Step-by-step explanation:
Can someone explain to me how the Pythagorean theorem works??
Answer:
By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √a2 + b2, the same as the hypotenuse of the first triangle. Since both triangles' sides are the same lengths a, b and c, the triangles are congruent and must have the same angles. ... If a2 + b2 = c2, then the triangle is right.
Step-by-step explanation:
The ninth graders are hosting the next school dance. They would like to make at least $500 profit from selling tickets. They estimate that at most 300 students will attend the dance. They will earn 3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Write a system or inequalities to represent this situation.
The surveyor sets up the instrument to determine the height at the highest point on the hill. She determines that she is standing at a horizontal distance of 100 m and sights the top of the hill using an angle of 17°. i) Let ‘h' represent the height of the hill and ‘d' represent the horizontal distance. ii) Set up the appropriate trigonometric ratio to determine the height of the hill. iii) Replace the variables with the appropriate values.
Answer:
[tex](a)\ h = d * \tan(\theta)[/tex]
[tex](b)\ h = 30.57m[/tex]
Step-by-step explanation:
Given
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
[tex]h = ??[/tex]
See attachment for illustration
Solving (a): Trigonometry ratio to calculate h.
From the attachment, we have:
[tex]\tan(\theta) = \frac{h}{d}[/tex]
Multiply both sides by d
[tex]d * \tan(\theta) = \frac{h}{d} * d[/tex]
[tex]d * \tan(\theta) = h[/tex]
Rewrite as:
[tex]h = d * \tan(\theta)[/tex]
Solving (b): The value of h
We have:
[tex]\theta = 17^o[/tex]
[tex]d =100m[/tex]
So:
[tex]h = 100m * \tan(17^o)[/tex]
[tex]h = 100m * 0.3057[/tex]
[tex]h = 30.57m[/tex]
Which of the following best describes a circle?
O A. Any point on a plane that is a set distance from another point
called a center
B. All the points that are the same distance from a single center
point
C. A curved segment that is equidistant from a given point
D. All the points on a plane that are the same distance from a single
point called a center
someone helpp me pls
A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?
22 is what percent of 900?
I GIVE BRAINLIEST
Answer:
2.44%
Step-by-step explanation:
[tex]\frac{22}{900} *100%[/tex]= 2.44%
Find the cofunction of the expression with the same value as tan(2pi/11).
Answer:
The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].
Step-by-step explanation:
In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:
[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]
[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]
[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]
[tex]0.642 = \frac{1}{1.556}[/tex]
[tex]0.642 = 0.642[/tex]
what is the value of the expression? 2.5(j x k)/j when j=6 and k=4
Answer:
10
Step-by-step explanation:
=2.5(6*4)/6
=2.5*4(6 and 6 gets cancel)
=10
8) A pencil is made up of which composition of 3D solids?
a. Pyramid and Cube
b. Sphere and Cylinder
C. Cylinder and Cone
d. Triangular Prism and Cone
I cover a certain distance in 3 hours. If my speed increases by 1/3, why is my travel time not also reduced by 1/3 (so travel the same distance in 2 hours)?
Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h
PLEASE HELP ME WITH THIS
Answer:
Step-by-step explanation:
angle 1=130 degree(being alternate angles)
angle 2=50 degree
angle 2 +130=180 degree(being co interior angle)
angle 2=180-130
angle 2=50 degree
Answer:
m<1 = 50
m<2 = 130
Step-by-step explanation:
From the picture, you can inference that m<1 looks like 130 degrees, and m<2 does not. You can tell because m<1 looks like a wide-angle, while m<2 looks like a closed-angle. So, m<1 is 130 degrees.
To find m<2 subtract 180 by 130 because 180 is the measure of a straight angle.
180 - 130 = 50
So m<1 = 50
can someone help me on this?
Answer:
C when multiplying negative numbers if you multiply a negative by a negative you get a positive.
Please help with this question
What is the value of this expression? 6 (24÷ 3) - 2
Answer:
6 (24÷3) -2
6 (8) -2
48-2
=46
Brackets of division multiplication add and subtract
Find the range of the function f(x)=x2+5 given the domain (-2,-1,0,1,2)?
Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
Klarissa is baking a cake. The recipe calls for \large 1\frac{3}{4} cups of flour, and Klarissa wants to triple the recipe. How much flour does she need?
Answer: [tex]5\dfrac{1}{4}\ \text{cups of flour}[/tex]
Step-by-step explanation:
Given
Klarissa requires [tex]1\ \frac{3}{4}[/tex] cups of flour to make a recipe
Convert mixed numeral to fraction
[tex]\Rightarrow 1\dfrac{3}{4}=\dfrac{4+3}{4}\\\\\Rightarrow \dfrac{7}{4}[/tex]
If she wants to triple the recipe then,
[tex]\Rightarrow 3\times \dfrac{7}{4}=\dfrac{21}{4}\\\\\Rightarrow \text{or}\ 5\dfrac{1}{4}\ \text{cups of flour}[/tex]
Please help me answer
Answer:
Step-by-step explanation:
the circumference you make it using the diameter , pi times ( 3.142 times)
C = 13* 3.142 = 40.846
which ratio is incorrectly written in Olivia's conversion?
Answer:
Choice 3
Step-by-step explanation:
The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.
4 tablespoons
===========
1/4 cup
This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.
So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.