Answer:
15 or 15.546
Step-by-step explanation:
you add all the numbers then divide by 54
Based on the information given, the speed is 20 miles per hour.
From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.
Note that 54 minutes = 0.9 hour.
The speed will be:
= (0.5 + 15 + 2.5) / 0.9
= 18/0.9
= 20 miles per hour.
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What is the probability for a bowler to score over 136? The mean for the set is 130, and the standard deviation is 3. So I know that it is Mean + 2(Standard Deviation), so is it 2.35% or 2.5%?
Answer:
135%
Step-by-step explanation:
These are the coordinates of a
quadrilateral. Determine whether it is
also a trapezoid, parallelogram, or
neither.
J(5,5), K(8,6), L(9,9), M(6,8)
A. trapezoid
B. parallelogram
C. neither
Answer:
parallelogram is the answer
Answer:
Step-by-step explanation:
The quadrilateral is a parallelogram ( more precisely is the rhombus )
huang 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which
expression represents the amount of change Huang should receive? Select three options.
100-(3)
100--12)
(100-12) - 3
(100-12)*x*)
100-x) - 12
Answer:
(100-12) - 3
Step-by-step explanation:
we dont know what the cost of the shirts are so that one should be it.
Six grapefruit cost as much as a dozen oranges. The cost of a dozen grapefruit and two dozen oranges
is $12. If Susan purchased one orange and one grapefruit, how much did she spend? Show your
thinking.
a.Write System of equations for the above problem.
b. Solve the system of equations
c.Explain the meaning of the solution in the context of the problem.
Answer:
$0.73
Step-by-step explanation:
Let's say an orange costs O dollars and a grapefuit costs G dollars.
We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G
a.
6G = 10O
12G + 24O = 12
6 grapefuit = 6G = 10 oranges = 10O
b.
6G = 10O
12G + 24O = 12
We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.
6G = 10O
divide both sides by 6 to remove the coefficient for G
G = (10/6)O
plug that into the second equation
12*(10/6)O + 24O = 12
20O + 24O = 12
44O = 12
divide both sides by 44 to solve for O
O=12/44 = 6/22
6G = 10O
6G = 60/22
divide both sides by 6 to solve for G
10/22 = G
c.
These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating
A set of 3 consecutive integers has a sum of 15. Which integers are they?
The answer is 4+5+6=15.Hope that helps. :)
Answer:
Step-by-step explanation:
Let the first number be x,
The second number (since it is consecutive) will be = x + 1
The third number (since it is right after the second) = (x+1) + 1 = x + 2
x + x + 1 + x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
If the first number = 4,
Second number will be = 5 [(x+1) = 4+1]
Third number will be = 6 [(x+2) = 4 + 2]
Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.
Which statement is most accurate?
*Disclaimer* show work
Answer:
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1
The correct answer is the last one (C)
PLEASE HELP ME 50 POINTSS 1!1!1!1!1!1!1!1!1!11!1!1!1!
How long does it take a baseball moving with an average
speed of 35 m/s to travel 18 m?
What is the average speed of a car that travels 870 km in 14.5
h?
Answer:
1) the baseball will take approx 0.514 seconds to move 18 meters.
35/1 = 18/x
x = 0.514s
2) the car's average speed is 60 km per hour.
870/14.5 = x/1
x = 60h
What is the name of this?
Answer:
Circumference of a circle
ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,
BC=5 cm. Find AB and XZ. (No links pls...)
Answer:
See belowStep-by-step explanation:
Since B is the right angle, AC is the opposite side - hypotenuse.
Use Pythagorean and find the missing side, AB:
[tex]AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm[/tex]There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.
If the scale factor was given as k, then XZ would be:
XZ = k*BC = 5kHow can you find approximations of square roots?
Step-by-step explanation:The second way of approximating a square root is to use a calculator. Most calculators have a radical sign on them. To find the square root of a number, we enter the radical sign, then the value and press enter. This will give us a decimal approximation of the square root.
Solve for W
4w^2+9w= -2
Answer:
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
Step-by-step explanation:
[tex]4w^2+9w=-2[/tex]
[tex]4w^2+9w+2=0[/tex]
[tex]w^2+9w+8=0[/tex]
[tex](w+1)(w+8)=0[/tex]
[tex](4w+1)(w+2)=0[/tex]
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
Can you help me explain
Answer:
6, 60, 0.6, 600 are the answers
the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some
Step-by-step explanation:
What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).
Equivalent expressions are expressions that have the same value, and can be used interchangeably.
The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
The expression is given as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]
Rewrite the expression as:
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]
Evaluate the roots
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]
Open the brackets
[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]
The above expression cannot be further simplified.
Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]
Read more about equivalent expressions at:
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The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
We have to determine, the sum of the given expression.
According to the question,
Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]
To determine the sum of the given expression following all the steps given below.
Rewrite the expression term in the form of their cubes,
[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]
Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].
For more details refer to the link given below.
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solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3
x=___
The input is____when the output is-3
[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]
[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]
original price: $2.00
discount: 31%
tax: 3%
Answer:
is this a questions or no?
Step-by-step explanation:
20 Points Please Help
A. (4,1)
B.(-2,8)
C.(8,-2)
D.(-1,4)
Answer:
i think B is answer
Step-by-step explanation:
0.5x+9 = -3x+2
x = -2
y = -3x+2
y = -3(-2) +2
y = 6+2
y = 8
(x,y) = (-2,8)
what is the answer to 5x+1=3x+7
Answer:
Step-by-step explanation:
5
+
1
=
3
+
7
5x+1=3x+7
Solve
1
Subtract
1
1
from both sides of the equation
5
+
1
=
3
+
7
5x+1=3x+7
5
+
1
−
1
=
3
+
7
−
1
5x+1{\color{#c92786}{-1}}=3x+7{\color{#c92786}{-1}}
2
Simplify
Subtract the numbers
Subtract the numbers
5
=
3
+
6
5x=3x+6
3
Subtract
3
3x
from both sides of the equation
5
=
3
+
6
5x=3x+6
5
−
3
=
3
+
6
−
3
5x{\color{#c92786}{-3x}}=3x+6{\color{#c92786}{-3x}}
4
Simplify
Combine like terms
Combine like terms
2
=
6
2x=6
5
Divide both sides of the equation by the same term
2
=
6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
6
Simplify
Cancel terms that are in both the numerator and denominator
Solution
=
3
yesterday, john had $15. In 7 days, He would have 23.
Answer:
He earn approximately $2.14 everyday
Step-by-step explanation:
hope this helps :3
8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R
Answer:
x = 7
Step-by-step explanation:
you can create a proportion:
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
cross-multiply:
36(6x-2) = 30(5x+13)
distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
The value of x for the given triangle sides is x = 7.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.
PT / ST = PQ / RQ
36 / 30 = (5x+13) / (6x-2)
Cross-multiply the equations,
36(6x-2) = 30(5x+13)
Distribute:
216x - 72 = 150x + 390
216x = 150x + 462
66x = 462
x = 7
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Will give brainly,5 stars,and thank if it CORRECT
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
Find the area of the triangle
[tex] =( \frac{1}{2} \times 10.4 \times 16.9) {ft}^{2} \\ = (5.2 \times 16.9) {ft}^{2} \\ = 87.88 {ft}^{2} [/tex]
Answer:
The area of the triangle is 87.88 square feet.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help me with this math problem!! NO LINKS PLEASE!! :)
Answer:
105°.
Step-by-step explanation:
1) to calculate m(∠ABC): m(∠ABC)=180-m(∠BAC)-m(∠(ACB)=180-90-65=25°;
2) note, m(∠ABC)=m∠(ABD)=25°, then it is possible
3) to calculate m(∠BAD): m(∠BAD)=180-m(∠ABD)-m(∠ADB)=180-25-50=105°.
if f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))
Answer:
18x² - 24x + 9
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f3x - 2)
= 2(3x - 2)²+ 1 ← expand factor using FOIL
= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2
= 18x² - 24x + 8 + 1
= 18x² - 24x + 9
3 friends share a cake in the ratio of 5:7:4. the cake costs Rs.96 how much does each share cost?
Answer:
Cost of each share is [tex]6Rs[/tex]
Step-by-step explanation:
Let the cost be [tex]5x,7x,4x[/tex]
We have
[tex]5x+7x+4x=96\\\\16x=96\\\\x=6[/tex]
Cost of each share is [tex]6Rs[/tex]
Can i get some help :
The store owner is adding cost, so we will use addition. The answers should be as follows:
[] c + $3.49 = $9.84
[] c = $6.35 <- subtract $3.49 from both sides of the equation
[] Solution of answer represents the old cost of the toy.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
i have a very hard question,
what is 1+2
please help asap
Answer:
The answer is 3.
Step-by-step explanation:
Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make.
Help please? :)
Answer:
[tex]\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}[/tex]
Step-by-step explanation:
Per = 1
[tex]\frac{1}{4}[/tex]
So, if we were to solve:
[tex]\frac{1}{4}=\frac{5}{6x}[/tex]
[tex]\frac{1}{4}\cdot \:6x=1\cdot \:5[/tex]
[tex]\frac{3}{2}x=5[/tex]
[tex]\frac{3}{2}x\cdot \:2=5\cdot \:2[/tex]
[tex]3x=10[/tex]
[tex]\frac{3x}{3}=\frac{10}{3}[/tex]
[tex]x=\frac{10}{3}[/tex]
Troy can make [tex]\frac{10}{3}[/tex] dozen of cupcakes.
(2w2+4w)÷(w–2) divide
the answer is 4
Find 48.9% of 264.Round to the nearest hundredth
Step-by-step explanation:
Simply divide the percent by 100 and multiply by the number. For example, 48.9 /100 x 264 = 129.096 or 0.489 x 264 = 129.096
Rounded to nearest hundredth
= 129.10
Answer:129.10
Step-by-step explanation:
Simply, the equation for the percentage value of a number is:
x*(z%/100%)=y
where x is your initial value, z is your percentage value, and y is the resultant value
for this question, the equations gives us as follows
264*(48.9%/100%)=129.096=129.10