At Gumdrops Galore candy store, Gina and her sister each fill a bag with gumdrops. Gina's bag of black gumdrops weighs 1 4 of a pound. Gina pays for both her gumdrops and her sister's red gumdrops. In all, Gina buys 3 8 of a pound of gumdrops. She wants to know how much her sister's red gumdrops weigh. Use an equation to find the weight of her sister's red gumdrops.
Answer:
1/8 of a pound
Step-by-step explanation:
Gina's bag of gumdrops : 1/4 of a pound
Gina's + sister's bag of gumdrops : 3/8 of a pound
To find how much her sister's gumdrops weighed, you will have to subtract fractions.
Equation : 3/8 - 1/4 or 3/8 - 2/8
To subtract, you need to make sure the denominators are the same.
1 × 2
------- = 2/8
4 × 2
Now, you can subtract. Subtract the numerators.
3/8 - 2/8 = 1/8
So, Gina's sister's red gumdrops weigh 1/8 of a pound.
Hope this helped !
Gina's sister's red gumdrops weigh 1/8 of a pound.
How to determine the weight of Gina's sister's red gumdropsLet's use an equation to find the weight of Gina's sister's red gumdrops.
Let x be the weight of Gina's sister's red gumdrops in pounds.
According to the information given:
Gina's bag of black gumdrops weighs 1/4 pound.
Gina pays for both her gumdrops and her sister's red gumdrops, totaling 3/8 pound of gumdrops.
Weight of Gina's gumdrops (black gumdrops) + Weight of sister's gumdrops (red gumdrops) = Total weight of gumdrops purchased
1/4 + x = 3/8
Solve for x
x = 3/8 - 1/4
To subtract fractions, we need a common denominator, which is 8:
x = (3/8) - (2/8)
x = 1/8
Therefore, Gina's sister's red gumdrops weigh 1/8 of a pound.
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x+y+z=-6
x-y+3z=-18
2x+2y+2z=-8
Answer:
Step-by-step explanation:
hello :
the system is : x+y+z=-6.....(1)
x-y+3z=-18.....(2)
2x+2y+2z=-8.....(3)
use (3): 2(x+y+z) = - 8 so : x+y+z = -4
use (1) : x+y +z = -6 -6=-4 false
no solutions
Find the solution of the system of equations. x-3y= -13
2x+15y=16
Answer: [tex]x=-7, y=2[/tex]
Step-by-step explanation:
Multiplying the first equation by 2 gives [tex]2x-6y=-26[/tex]
Subtracting this from the second equation yields [tex]21y=42 \longrightarrow y=2[/tex]
Substituting this back into the first equation gives that [tex]x=-7[/tex]
[tex]\therefore x=-7, y=2[/tex]
n △IJK, m∠J=34°, m∠I=72°, and i=206. Identify j rounded to the nearest tenth.
Answer:
121.1
Step-by-step explanation:
The measurement j will be 121.1
What is law of sine?Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.
In ΔABC,
sinA/a = sinB/b = sinC/c
in the given triangle ΔIJK
∠J=34°
∠I=72°
i=206
So, using law of sine,
sinI/i = sinJ/j
⇒sin72°/206=sin34°/j
⇒j=(sin34°/sin72°)*206
⇒j=121.1
Therefore, the value of j will be 121.1
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Rewrite the expression ^3 square root of x^8 using rational exponents.
Answer:
X^8/3
Step-by-step explanation:
When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.
(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?
Answer:
69 m
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×width}}[/tex]
Given that the area is 3657 m² and the width is 53 m,
3657= length ×53
Divide both sides by 53:
length= 3657 ÷53
length= 69 m
Which of the following quadrilaterals is also a parallelogram?
Answer:
RECTANGLEA rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals.
the point inside a circle that is the same distance from all the points on the circle
Answer:
the center
Step-by-step explanation:
The only point in the circle that is equidistant from the border is the center, and the lines that connect the center to the points on the circle is called the radius. All radii in a circle are congruent.
if you will solve this math 50 point + brainlists=
5+6+6+83+15×53____84
Answer:
5+6+6+83+15×53=895
I hope it helps ty if yes pls make me brainliest take care
6 + 6 = 12
5+15 = 20
53x83= 4399
4399+32=4431
4431- 84 =4,347
please make me brainalist and keep smiling dude I hope you will be satisfied with my answer is updated
and you have asked me to help please tell me
What’s the answer????
Answer:
the last one I think. number 4
Answer: The last one
Step-by-step explanation:
It's not required by law
You have to pay $2000 on your own
It can definitely be over $500
It's a yearly amount
Use the graph of the rational function to complete the following statement.
Using the graph of the function, it is found that the lateral limits of the function are as follows:
As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].What are the lateral limits of the function at x = 1?For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].
For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].
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Solve the system of equations.
−10x+3y=5
x=y−4
Answer:
Hope the pictures will help you..
Step-by-step explanation:
-10(y-4)+3y=5
-10y +40+3y =5
-7y = -40 +5
-7y=-35
7y = 35
{y= 5}
--------------
y=5
x=y-4
x=5-4
{x=1}
Spot the difference
Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3
Steven is 42 inches tall. On average he grows at a rate of 5.5% each year. How tall will
Steven be in 3 years?
Answer:
about 49.3 inches
Step-by-step explanation:
[tex]42 \times {1.055}^{3} = 49.318[/tex]
I NEED HELP LOOK AT THE PICTURE PLEASE
Geometry N.6 Properties of parallelograms LLK If AB = 2v - 3 and AD = 6v - 55, find the value of v in parallelogram BCDE. E B А D с V
Answer:
v = 13
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so AB ≅ AD. This relation gives rise to an equation we can solve for v.
2v -3 = 6v -55
52 = 4v . . . . . . . . . add 55-2v to both sides
13 = v . . . . . . . divide by 4
The value of v is 13 in this parallelogram.
Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4
The equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
What is the equation of line?The equation of the line is the way of representation of a line in the equation form.
The equation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.
[tex]y=mx+c[/tex]
Here, (m) is the slope of the line and (c) is the y intercept.
This line is parallel to the line which has to be find out is,
[tex]y=-5x+4[/tex]
As the parallel lines have same slope. Thus, the line which is required to find has a slope of -5.
Compare with standard equation of line, we get the slope of the line,
[tex]m=-5[/tex]
Thus, the equation of line become,
[tex]y=-5x+c[/tex]
The line passes through (1,2). Put these values in the above equation as,
[tex]2=-5(1)+c\\2=-5+c\\c=2+5\\c=7[/tex]
Thus, the equation become,
[tex]y=-5x+7[/tex]
Hence, the equation of the line that passes through (1,2) and is parallel to the line y=-5x+4, is y=-5x+7.
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un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur
Answer:
Step-by-step explanation:
bonjour :
soit x le nombre des feuilles dans le classeur
les deux tiers des feuilles sont blanches veut dire : (2/ 3)x
un sixieme des feuilles sont bleues veut dire : (1/6)x
on compose cette équation : (2/ 3)x + (1/6)x +12 = x
rsolvont cette équation : multiplions les deux membres par : 6
4x+x+72 =6x
4x-6x+x+72=6x-6x
-x+72=0
x=72
verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72
a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
Critical Thinking: I am a 7-digit number. All my digits are non-zero and distinct, My ones digit is four times the tens digit. • The sum of the ones and tens digits is equal to the sum of the lakhs and ten lakhs digits. • The sum of the ten thousands and thousands digits is equal to the double of the hundreds digit. • The ten lakhs digit is greater than the lakhs digit , and the ten thousands digit is greater than the thousands digit. Find which number I am.
Answer:
3286714
Step-by-step explanation:
Let the digits of the number be :
ABCDEFGOur given conditions :
G = 4F [ones digit is four times the tens digit]G + F = B + A [sum of the ones and tens digits is equal to the sum of the lakhs and ten lakhs digits]C + D = 2E [sum of the ten thousands and thousands digits is equal to the double of the hundreds digit]A > B and C > D [ten lakhs digit is greater than the lakhs digit , and the ten thousands digit is greater than the thousands digit]Solving :
Condition 1 : G is either 1 or 2 and F is either 4 or 8For now, let G be 1 and F be 4 Now G + F = A + BThen A + B = 5 [but not 1 + 4] ⇒ A can be 3 and B can be 2Now C + D = 2E and our remaining numbers are 5,6,7,8,9C and D can be 8 and 6, then their mean would be 7, which is ESolution :
So, the number is :
ABCDEFG3286714x + y = 2
y - z = 2
x + y - z = 3
.
OA (1,1,-1)
OB. (-1,1,1)
oc. (-1,-1,1)
OD. (-1,1,-1)
Answer:
it would be B because of the lang it and work
The circumference of the circle is 24 cm and the radius is √x+2. Find x and its radius. Use = 3.14 . Round your answer to two decimals.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Circumference of a circle :
[tex]\qquad \tt \dashrightarrow \:2 \pi r[/tex]
And we have been given that Circumference = 24 cm
So, let's equate them and find radius (r) :
[tex]\qquad \tt \dashrightarrow \:2 \pi r = 24[/tex]
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}[/tex]
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}[/tex]
[tex]\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm[/tex]
So, we got the radius here. now let's equate it with expression in terms of x to find value of x
[tex]\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82[/tex]
[tex]\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2[/tex]
[tex]\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm[/tex]
x = 12.61
===========
[tex]\bold{C = 2\pi r}[/tex] [ C = 24, π = 3.14, r = √x+2 ]
2(3.14)(√x+2) = 24(6.28)(√x+2) = 24√x+2 = 24/6.28x+2 = (24/6.28)²x = (24/6.28)² - 2x = 12.60505497x ≈ 12.61 ( rounded to nearest two decimal places )a. Sarah Smartshopper receives ten cents off per gallon on gas for every $100 she
spends at the grocery store during a given month. During the month of October,
he spent $45.23, $102.34, $13.67, $34.56, $48.72, and $52.12. What will Sarah's
gas discount be for October?
Using proportions, it is found that her discount is of $0.29664.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total amount she spent on gas is given by:
T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.
Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the proportion to find that her discount is given by:
[tex]D = 0.1 \times \frac{296.64}{100} = 0.29664[/tex]
Her discount is of $0.29664.
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Define a rational number and show that no rational number x belongs to Q satisfies x² = 2
Answer:
A rational number is a number that can be expressed as a fraction of two integers.
if x²=2 then x=√2, but √2 is an irrational number (not rational), so there is no rational number x that satisfies x² = 2.
Step-by-step explanation:
Grade 3 M
8
A store had 800 T-shirts in stock for a weekend sale. T-shirts are sold in packs of 4 each.
During the sale, 20 packs of T-shirts were sold on Saturday, and 70 more packs were
Write an equation that can be used to find the number of T-shirts, x, the store still has
sold on Sunday.
Equation
How many T-shirts does the store still have left to sell?
Show your work
Answer:
440 more tshirtS
Step-by-step explanation:
because if you do 70x4=280 then 20x4=80 280+80=360 800-360=440
70×4=280+20×4-800
PLEASE HELP ME WILL FOLLOW AND GIVE BRAINLIST!!! ASAP
Answer:
1/10 of the members
Step-by-step explanation:
first, see how much is between [tex]2\frac{1}{4}[/tex] and [tex]3[/tex]. you can only see one. then count the number of x's, that's the number of members, and your denominator.
Adía swam 7 laps in a pool Kaya swam 28 laps how many times the number of laps adía swam did kaya swim circle the letter of the correct answer
A. 4
B. 21
C. 35
D. 196
Help me my sister needs help she is in 4th grade
Kala and david each opened a savings account today, kala opened her account with a starting amount of $180, and she is going to put in $70 per month. David opened his account with no starting amount, and he is going to put in $100 per month
let x be the number of months after today
(a) for each account, write an expression for the amount of money in the account after x months
(b) write an equation to show when the two accounts have the same amount of money
[tex]Elsa:y_1=70x+180[/tex]
[tex]brian,y_2=100x[/tex]
Step-by-step explanation:[tex]Rnown\ by\ the\ topic,[/tex]
[tex]Assuming\ that\ the\ Elsa\ amount\ of\ money\ is\ y_1,[/tex]
[tex]Brian's\ amount\ of\ money\ is\ y_2[/tex]
[tex]so,y_1=70x+180[/tex]
[tex]\{put\ in\ \$70\ per\ month,\ storting\ amount\ of[/tex]
[tex]y_2=100x[/tex]
[tex]\{\ put\ in\ \&\ 100\ per\ month,\ no\ starting\ emount[/tex]
[tex]\{\$70,\ \$100\ are\ monthly\ voriation,[/tex]
[tex]\$180\ is\ fixed\ value?[/tex]
I hope this helps you
:)
Can slope intercept form have y as the slope?
For example:
x = 7y
Answer:
yes
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
anyone help pls??
Find the perimeter and the area of the regular polygon with the given apothem a and side length s.
Step-by-step explanation:
apothem : distance from the center of the object to the side(s).
area : 1/2 × perimeter × apothem
perimeter : 9 x side
perimeter = 9×15 in = 135 in
area = 1/2 × 135 × 20.6 = 1,390.5 in²
The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.
What is a nonagon?A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;
Perimeter = length of the whole sides
side length = 15 inches
P = 9 × 15
p = 135 inches
Area of a nonagon = 1 / 2 pa
where
a = apothemp = perimeterTherefore,
apothem = a = 20.6 inches
area of the nonagon = 1 / 2 × 135 × 20.6
area of the nonagon = 2781 / 2
area of the nonagon = 1390.5 inches²
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