Find the missing values in the ratio table. Then write equivalent ratios.
5:3 ?:12 10/3:? ?:5
Answers
Answer:
5 15 10/3 7
3 12 12/3 5
Step-by-step explanation:
The missing values in the ratio table will be;
Pies 5 20 10/3 25/3
Cakes 3 12 2 5
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio table is;
Pies 5 x 10/3 z
Cakes 3 12 y 5
Now,
Since, The ratios are equivalent to each other.
Thus, We can solve to find the value of x, y and z as;
⇒ 5 : 3 = x : 12
⇒ 5/3 = x/12
Multiply by 12;
⇒ 5 × 12 / 3 = x
⇒ 20 = x
And, 5 : 3 = 10/3 : y
⇒ 5/3 = 10/ (3× y)
⇒ 5/3 = 10/3y
Multiply by 3;
⇒ 5 = 10/y
⇒ y = 10/5
⇒ y = 2
And, 5 : 3 = z : 5
⇒ 5/3 = z/5
Multiply by 5;
⇒ 25/3 = z
⇒ z = 25/3
Therefore, The missing values in the ratio table will be;
Pies 5 20 10/3 25/3
Cakes 3 12 2 5
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Related Questions
A computer game was originally priced at $59.99. It was marked down 15%. What was the final price of the computer game?
Answers
Answer: $50.99
Step-by-step explanation:
Given
The computer game is Priced at [tex]\$59.99[/tex]
It is marked down by [tex]15\%[/tex]
Final price is
[tex]\Rightarrow 59.99-15\%\ \text{of}\ 59.99\\\Rightarrow 59.99(1-0.15)=59.99\times 0.85\\\Rightarrow \$50.99[/tex]
Which of the following shapes is not a quadrilateral
Rhombus
Pentagon
Kite
Trapezoid
Answers
Answer:
Pentagon
Step-by-step explanation:
A quadrilateral must have four angles and four verticies. A pentagon does not have 4 verticies, but 5.
Answer:
its a pentagon-
oOooOOOooOOOooh gOooOOooOOnn
Step-by-step explanation:
Brice has $1200 in the bank. He wants to save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.
Answers
$$3000-$1200=$1800
take $1800÷$40=45
answ=45 weeksPLEASE HELP ME NOW!!!! 100 POINTS!!!
Decorative glass balls are being stored in a box. Each ball has a radius of 2 1/3 cm.
How many balls will fit in each layer of a box that is 20 cm by 15 cm?
7 balls
12 balls
48 balls
Answers
Answer: 12 balls i think
Answer:
answer is 12
Step-by-step explanation:
i took the quiz.
Please answer the two questions!
Answers
Given:
The expressions are
(c) [tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]
(d) [tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]
To find:
The simplified form of the given expression.
Solution:
(c)
We have,
[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3[/tex]
We know that, zero to the power of a non-zero number is always 1. So, [tex]\left(\dfrac{2^4\times 3^6}{12^2}\right)^0=1[/tex]
[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=(1)^3[/tex]
[tex]\left\{\left(\dfrac{2^4\times 3^6}{12^2}\right)^0\right\}^3=1[/tex]
Therefore, the value of the given expression is 1.
(d)
We have,
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}[/tex]
It can be written as
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13^3\times 1}{(65\times 49)^2}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13\times 13\times 13}{(65\times 49)(65\times 49)}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{(5\times 49)(5\times 49)}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]
[tex]\dfrac{13^3\times 7^0}{\{(65\times 49)^2\}^1}=\dfrac{13}{60025}[/tex]
Therefore, the value of given expression is [tex]\dfrac{13}{60025}[/tex].
Suppose you deposit 600$ in a bank account with a simple interest rate of 2.5%. You want to keep your deposit in the bank long enough to earn at least 120$ in interest. How long should you keep your deposit in the bank?
Answers
In this case, T is the variable we don’t have a value for.
120 = (600)(0.025)(T)
120 = 15T
8 = T
8 years
What is the range of the following set of data?
4, 8, 3, 5, 5, 7, 6, 4
Answers
Answer:
The range is 3
Step-by-step explanation:
The smallest number 5 subtracted from the largest number 8 is 3.
A 20ft ladder is leaning against a building. If the base of the ladder is 6ft from the base of the building. What is the angle of elevation of the ladder?
Answers
9514 1404 393
Answer:
72.5° ≈ 73°
Step-by-step explanation:
The ladder length is the hypotenuse of the right triangle that has the distance from the building as its base and the height up the building as the height of the triangle. The given dimensions are those of the side adjacent to the angle and the hypotenuse.
The appropriate trig relation is ...
Cos = Adjacent/Hypotenuse
cos(angle) = 6/20
The inverse cosine function (arccos) is used to find the angle from its cosine.
angle = arccos(6/20) ≈ 72.54°
The angle is 72.5° rounded to tenths, or 73° rounded to degrees.
What 2 numbers have a sum of 19 and difference of 9
Answers
Step-by-step explanation:
The two numbers having a sum of 19 and difference of 9 is
14 and 5
14 + 5 = 19
14 - 5 = 9
Hope it will help :)
Answer:
14 and 5
Step-by-step explanation:
-#--#--2-#--$--#6*363282873737282
PLEASE HELP IF U GET IT RIGHT I WILL MARK BRAINLIEST PLEASE ITS DUE IN 9 MINS
Answers
Answer: y = 1x+ -2 or y=x-2
Step-by-step explanation:
y=mx+b
-10=1(-8)+b
-10=-8+b
b=-2
Answer:
y=x-2
Step-by-step explanation:
y-(-10)=1(x-(-8)
y+10=1(x+8)
y+10=1x+8
y=1x+8-10
y=1x-2
Find the value of x.
Answers
Answer and Step-by-step explanation:
We see that this is a right angle, which means the entire angle is equal to 90.
We can find what x is by adding this expression and 44 and equaling it to 90.
90 = x + 9 + 44
90 = x + 53
37 = x
The value of x is 37.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Solve to find the value of x.
Answers
Answer:
x=12
Step-by-step explanation:
We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex]. To prove that x=12, we can subsitute x for 12. This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)
Can you please help me?
Answers
Answer:
b) 8y
Step-by-step explanation:
Product means multiplication so, 8y
a) incorrect
8 + y is addition
b) correct
8y is multiplication
c) incorrect
8 - y is subtraction
d) incorrect
8/y is division
find f(4) if f(x) = x - 6
Answers
f(4)= (4) - 6 = -2
Charmaine is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet. Suppose each bag of fertilizer covers
30 square feet. How many bags will she need to cover the garden?
Answers
Answer:
4 bags
Step-by-step explanation:
lxw
12x10=120
30x4=120
l=length
w=width
Craig collects stamps he collected a total of 150 stamps if 88% of the stamps be collected were foreign how many stamps did he collect
Answers
Answer:
18 Non Foreign Stamps
Step-by-step explanation:
Given data
Total stamps= 150
Foreign Stamps= 88% of the total stamps
Hence the number of foreign stamps is
=88/100*150
=0.88*150
=132 Foreign Stamps
The number of stamps that is Non Foreign Stamps is
=150-132
=18 Non Foreign Stamps
Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
Please please help will give BRAINLIST
Answers
Answer:
310°
Step-by-step explanation:
[tex]m\overset{\frown}{DBC} = m\overset{\frown}{DB} + m\overset{\frown}{BC} = 180^\circ + 130^\circ = 310^\circ[/tex]
what is the length of leg s of the triangle below
Answers
Answer:
8
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{s}{8 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{s}{8 \sqrt{2} } \\ \\s = \frac{8 \sqrt{2} }{ \sqrt{2} } \\ \\ s = 8[/tex]
Which of these is a function please answer.
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
Options 1 and 4Step-by-step explanation:
Option 1
x-values are different and y-values are sameThis is a functionOption 2
x-values are repeated (3) with different y-valuesThis is not a functionOption 3
x-values are repeated and y-values are differentThis is not a functionOption 4
x- values are different, y-values are differentThis is a functionSolving systems by graphing I need help on how to graph this
Answers
Answer:
(4.449, 0.449) and (-0.449, -4.449)
Step-by-step explanation:
xy = 2
y = [tex]\frac{2}{x}[/tex]
Vertical asymptote → x = 0
Horizontal asymptote → y = 0
Input-output values for the equation,
x -2 -1 1 2 4
y -1 -2 2 1 0.5
Input-output values of the equation,
x - y = 4
x -2 -1 0 1 2
y -6 -5 -4 -3 -2
Solutions of the system of equations → (4.449, 0.449) and (-0.449, -4.449)
Given the following position function:
s(t) = y +2 +1
Find the velocity at t = 1.
v(1) = [?]
Round your answer to the nearest thousandth
Answers
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answers
Answer
well no
Step-by-step explanation:
Please help.
WXY=ZYX. Find p.
Answers
Answer:
I believe this is a "trick" question. From the equations given, I can get 3 different solutions.
Step-by-step explanation:
WY = XZ because corresponding parts of congruent triangles are congruent.
(7p + 13) + 2p = 18 + 4
9p + 13 = 22
9p = 9
p = 1
∠ZXY = ∠WYX because corresponding angles of congruent triangles are congruent.
Because ∠ZXY = ∠WYX, ΔVXY is isosceles and XV = YV
2p = 4 because corresponding parts of congruent triangles are congruent.
p = 2
also, because of congruency,
WV = ZV
7p + 13 = 18
7p = 5
p = 5/7
The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the value of the variable 'p' will be 1.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the ratio of the corresponding sides will be one. Then the equation is given as,
WX / XZ = 1
XW = XZ
WV + VY = XV + VZ
7p + 13 + 2p = 18 + 4
9p = 9
p = 1
The triangle ΔWXY and ΔZYX are compatible triangles with one another. Then the worth of the variable 'p' will be 1.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Juliet has y quarters, 6 dimes, and 4 nickels. the total amount of money that juliet has is $3.30. how many quarters does juliet have?
Answers
A toy made of connecting blocks is in the shape below. Find its total volume. 4 yd 3 yd 2 yd 4 yd 8 yd 9 yd Figure not drawn to scale. A 24 yd B 288 yd 312 yd D 325 yd
Answers
Ms. Rhodes purchased 8 pounds of potatoes for $18.08. At this rate, what is the cost per pound of potatoes? Use a proportion to solve. include how you did this work <3
Answers
Answer:
$2.20
Step-by-step explanation:
If you do long division you get 2 dollars as total with a decimal of 20 do that's your answer.
Answer:
The cost per pound of potatoes is $2.26.
Step-by-step explanation:
You have to divide the total cost by the total pounds.
So in this case, the total cost is $18.08.
There is a total number of 8 pounds.
So you do:
$18.08 / 8 pounds
=
$2.26/lb of potatoes
I hope this helps you on your journey to success!
And if you may mark me Brianliest, I will appreciate a whole bunch!
What is the value of 2a3 - a, when a = 4?
Answers
The value of the given equation is 124.
Calculation of the a value:Since the equation is [tex]2a^3 - a[/tex] and a = 4
So, the value of a is
[tex]= 2a^3 - a\\\\= 2(4)^3 - 4\\\\= 128 - 4[/tex]
= 124
Hence, The value of the given equation is 124.
Learn more about the value here: https://brainly.com/question/4700495
Is this graph a function?
Answers
Answer:
nope
Step-by-step explanation:
hope it helps <3
Answer: No sorry if its wrong
Step-by-step explanation: have a nice day
quadrilateral vwxy with vertices v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6): 18o from the origin
Answers
Given:
The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).
To find:
The vertices of the image of quadrilateral vwxy after 180° about the origin.
Solution:
If a figure rotated 180° about the origin, then the rule of rotation is
[tex](x,y)\to (-x,-y)[/tex]
Using this rule, we get
[tex]v(-2,-1)\to v'(2,1)[/tex]
[tex]w(-5,-2)\to w'(5,2)[/tex]
[tex]x(-8,-7)\to x'(8,7)[/tex]
[tex]y(1,-6)\to y'(-1,6)[/tex]
Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are v'(2,1), w'(5,2), x'(8,7), y'(-1,6).
HELPPP ME PLEASE WOTH THIS PROBLEM
Answers
Answer:
Area = 220.8 units²
Step-by-step explanation:
Since, given regular hexagon is made up of 6 congruent triangles joined together.
Area of the given regular hexagon = 6(Area of ΔAOB)
Area of ΔAOB = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(OC)[/tex]
= [tex]\frac{1}{2}(9.2)(8)[/tex]
= 36.8 unit²
Therefore, area of regular hexagon = 6(36.8)
= 220.8 units²
