Answer:
Below:
Step-by-step explanation:
Given:
Line QR≅Line SR
Line PQ≅Line PS
Reflexive Property:
Line RP≅Line RP
SSS Theorem:
ΔPQR≅ΔPSR
I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?
Answer:
4:7 7 being to total number of marbles (part to whole ratio)
There are 16 blue marbles were in the bag before I added more.
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 of blue marbles to yellow marbles is 4 : 3.
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Now,
Since, The ratio of blue marbles to yellow marbles is 4 : 3.
Hence, Number of blue marbles = 4x
Number of yellow marbles = 3x
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Then, We can formulate;
⇒ 4x + 5 / 3x - 3 = 7x / 3x
⇒ (4x + 5) / (3x - 3) = 7 / 3
⇒ 3 (4x + 5) = 7 (3x - 3)
⇒ 12x + 15 = 21x - 21
⇒ 15 + 21 = 21x - 12x
⇒ 36 = 9x
⇒ x = 4
Thus, The number of blue marbles = 4x
= 4 × 4
= 16
Learn more about the ratio visit:
https://brainly.com/question/169670
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Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces Please help cuz im in a pretest and my brain is ded
Complete question :
The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
18 ounces
Step-by-step explanation:
From the pie chart ;
The percentage of each Salad mixture in the mix is given ;
Romaine lettuce occupies 27% of the total salad mix ;
The total of amount of ounce of the entire salad mix is 64 ounce
Therefore, number of ounces of Romaine lettuce in the salad mix is ;
27% of 64
0.27 * 64
17.28
= 18 ounces
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
On a test, you correctly answer six 5-point questions and eight 2-point questions. You earn 92% of the possible points on the test. How many points pis
the test worth?
The test is worth p-points,
30
Answer:
The test is worth 46 points.
Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)
Answer:
The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
Step-by-step explanation:
We need to write an equation in slope-intercept form perpendicular to the given equation through the given point
y = -3x + 4
(6,-2)
The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding slope:
The given line is perpendicular to required line, so there slopes are opposite
The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)
The slope of required line is: [tex]m = \frac{1}{3}[/tex]
Finding y-intercept:
y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)
[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]
So, we get y-intercept b =0
Equation of required line:
So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:
[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]
(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner
SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ
Step-by-step explanation:
XJDUXIDB DUDUU
Solve: -10x + 10 + 12x +21= -6
А
25
X=
2
25
B
X=-
2
37
X=
2
D
X=
37
2
What is solution of 5(x - 3)=4(x + 2)
Answer:
x=23
Step-by-step explanation:
You simplify both sides of the equation, then isolate the variable.
Answer:
x=23
Step-by-step explanation:
Please answer this questions step by step
Answer:
(a) When a = 4 and b = -5, a² + b² - a·b = 61
(b) When a = 4 and b = -5, a³·b + a·b² = -220
(c) [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]
(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82
Step-by-step explanation:
The question relates to evaluation of expressions, given the values of the variables, "a" and "b"
Where;
a = 4 and b = -5
(a) For a² + b² - a·b, we have;
a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61
(b) For a³·b + a·b² we have;
a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220
(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;
[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]
[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]
(d) For (a + b)² - (a - b)² we have;
(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82
When a = 4 and b = -5, (a + b)² - (a - b)² = 82
HELP PLEASE!! Type the correct answer in each box. The graph shown is not a function because points (-1, 2)
Answer:
(-1,0)
Step-by-step explanation:
Look to see which points have the same x value (in this case -1)
If you spin the spinner, what is the probability of the pointer landing in the y section
Answer:
1/8
Step-by-step explanation:
A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me
Answer:
The ratio is 20:30, or 2:3 in simplest form
Plzzzzz give me Brainliest!
Answer:
2/5 or 40%
Step-by-step explanation:
20 out of fifty is hard so make it 40 out of 100 and it's easy 40%
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
Michelle lives 4.5 miles from work. Kelly lives 5.6 kilometers from work. Staci lives 4,200 meters from work. Kyle lives 670,000 centimeters from work.
Answer:
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Step-by-Step Explanation:
1 kilometer = 0.62137119 mile(s)
4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers
4,200 meters = 4.2 kilometers
670,000 centimeters = 6.7 kilometers
So,
Michelle = 2.8 kilometers (rounded up)
Kelly = 5.6 kilometers
Staci = 4.2 kilometers
Kyle = 6.7 kilometers
So,
Michelle < Staci < Kelly < Kyle
Kyle is the greatest distance from work, while Michelle is the closest to work.
Hope this helps! ^^
3 which number line best represents 2÷1/4
Answer:
the second choice
Step-by-step explanation:
2 has to be divided into 8 parts in total which is shown by option B
HELPPP what is 2x - 5 by the Square root of 9
Times it by 6 and take away 10 and the result is 44
Answer:
(for your second question) 23.69
Step-by-step explanation:
Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?
A.
B.
C.
D.
Answer:
4x-3 or A
Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3
Answer:
Hi, this is a strange problem but I believe the answer is A) 4x-3.
Step-by-step explanation:
I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)
A travelers ground speed is 2 feet per second against the walkway and 8 feet per second with the walkway, what is the travelers speed off the walkway, what is the speed of yhe walkway
Answer:
The traveller's speed is 5ft/s and the walkway speed is 3ft/s
Step-by-step explanation:
Given
Represent the traveller's speed with T and the walkway's speed with W.
When the traveller walk against the walkway, we have:
[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway
When the traveller walk with the walkway, we have:
[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway
Required
Solve for W and T
[tex]T - W = 2[/tex] --- (i)
[tex]T + W = 8[/tex] --- (ii)
Add (i) and (ii)
[tex]T + T - W + W = 2 + 8[/tex]
[tex]T + T = 2 + 8[/tex]
[tex]2T = 10[/tex]
Divide both sides by 2
[tex]\frac{2T}{2} = \frac{10}{2}[/tex]
[tex]T = \frac{10}{2}[/tex]
[tex]T = 5[/tex]
Substitute 5 for T in (ii)
[tex]T + W = 8[/tex]
[tex]5 + W = 8[/tex]
Make W the subject
[tex]W = 8 - 5[/tex]
[tex]W = 3[/tex]
Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s
what is 5+1 please hurry
Answer: 6
Step-by-step explanation:
chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?
Answer:
Her height would be 162.56 centimeters tall.
Step-by-step explanation:
There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.
30.48 x 5 = 152.4
Add the 4 extra inches so 4 inches in centimeters is 10.16
152.4 + 10.16 = 162.56
I can do your homework for you
Answer:
thanks for the free points
Step-by-step explanation:
Answer:
can u answer these ones
Step-by-step explanation:
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
31.4
Step-by-step explanation:
first you take your radius of 5 and times it by 2.
5 x 2 = 10
times 10 by pie
10 x 3.14 = 31.4
A 12 ounce latte costs $3.00. Write an equation that relates the cost in dollars, y, to the number of ounces, X.
a
y= 3x
y= 0.25%
y= 4x
y= 12x
Q1. The volumes of two spheres are 640 cm3 and 270 cm3. Find the ratio of
their diameters. Plz help cie igcse math
Answer:
Formula
V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]
With V1 = 640 cm³ and V2=270 m³
[tex]\pi[/tex] = 22/7
=> You can substitute the numbers above to calculate R1 and R2
Step-by-step explanation:
Have fun
Answer:
[tex]\boxed{\text{\sf \Large 4:3}}[/tex]
Step-by-step explanation:
Volume of sphere=4/3πr³
1. 4/3πr³=640
r=5.346018
d=10.692036
2. 4/3πr³=270
r=4.009514
d=8.019028
Simplify ratio
10.692036 : 8.0190284:3Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
[tex](x,y)\to (-(x-a)+a,y)[/tex]
[tex](x,y)\to (-x+a+a,y)[/tex]
[tex](x,y)\to (-x+2a,y)[/tex]
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
[tex](x,y)\to (-x+2(2),y)[/tex]
[tex](x,y)\to (-x+4,y)[/tex]
Using this rule, we get
[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]
[tex]A(-3,4)\to A'(3+4,4)[/tex]
[tex]A(-3,4)\to A'(7,4)[/tex]
Similarly,
[tex]B(-1,4)\to B'(5,4)[/tex]
[tex]C(-1,-1)\to C'(5,-1)[/tex]
[tex]D(-3,-1)\to D'(7,-1)[/tex]
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?
Answer:
6; 8; 10
Step-by-step explanation:
First side: x
Second side: x+2
Third side: x+4
x + x + 2 + x + 4 = 24
3x + 6 = 24
3x = 18
x=6
First side: 6
Second side: 8
Third side: 10
SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT
Answer:
28cm
Step-by-step explanation:
7x4
or
7+7+7+7