Nora and her children went into a grocery store and see by $5 worth of apples and bananas each Apple cost $1 each banana costs $0.50. She bought 3 times as many bananas as apples. By following the stars below determine the number of apples, x, and the number of banana, y, that Nora bought.
Answers
Solving a system of equations, we will see that Nora bought 2 apples and 6 bananas.
How many apples and bananas Nora did bought?Let's define the variables:
x = number of apples.y = number of bananas.We know that She buys 3 times as many bananas as apples.
y = 3*x
The total cost is $5.
x*$1 + y*$0.50 = $5
Then we have a system of equations:
y = 3*x
x*$1 + y*$0.50 = $5
Replacing the first equation into the second one we get:
x*$1 + (3x)*$0.50 = $5
Now we can solve this for x.
x*$1 + x*$1.50 = $5
x*$2.50 = $5
x = $5/$2.50 = 2
So She bought 2 apples, and:
y = 3*x = 3*2 = 6
And 6 bananas.
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Related Questions
The orthodontist estimated how long brian would have to wear braces when she put them on his teeth. brian was pleasantly surprised when, after 16 months, the orthodontist said it was time to take the braces off. her original estimate had been 12.5% longer than that. how long was the original estimate?
Answers
Using the given information, the original estimate was 18 months
PercentagesFrom the question, we are to determine how long the original estimate was
Let the original estimate the x
Then, from the given information, we ca write that
x = 16 + (12.5% × 16)
x = 16 + (0.125 × 16)
NOTE: 12.5% = 12.5/100 = 0.125
∴ x = 16 + 2
x = 18
Hence, the original estimate was 18 months
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help me please i don't understand this very well
Answers
Answer: 80.5
Step-by-step explanation:
Given that,
Base of Triangle = 23 ft
Height of Triangle = 7 ft
We know,
Area of Triangle
= 0.5 × Base × Height unit^2
=(0.5 × 23 × 7) ft^2
= 80.5
Suppose y varies directly with x and y=76 when x=19 what is the value of x when y = "-32
Answers
The value of y = -32 , x = -8 .
What is the meaning of Direct Variation ?Direct Variation is when a variable is dependent on the other variable such that , on increasing one variable the other also increases.
It is given that
x and y are two variables
and they are in direct variation
y ∝ x
y = k x
where , k is the proportionality constant
From the given data , y = 76 when x = 19
76 = k * 19
k = 4
The value of x , when y = -32
-32 = 4 * x
x = -8
Therefore for y = -32 , x = -8 .
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What is the measure of angle CED?
There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as p, and angle ABC is labeled as 70 degrees. In triangle DCE, angle CDE is labeled as 70 degrees.
please help!!!
Answer Choices- p over 2, because Triangle ABC is congruent to triangle DCE
p + 70 degrees, because Triangle ABC is similar to triangle DCE
110 degrees − p, because Triangle ABC is congruent to triangle DCE
p, because Triangle ABC is similar to triangle EDC
Answers
Answer:
p, because Triangle ABC is similar to triangle EDC
Step-by-step explanation:
Angles DCA and DCE are vertical, so they are congruent.
Angles ABC and CDE measure 70°, so they are congruent.
Triangles BCA and DCE are similar by AA Similarity.
By corresponding angle of similar triangles, angles CED and BAC are congruent.
m<BAC = p
m<CED = m<BAC = p
m<CED = p
The largest possibly circle has been cut from a piece of paper.what is the area of the remaining area . caculate the area of just one side of the remaining paper.use 3.14 for the value of pi.
Answers
22/7 was considered while choosing the square's side length, the area of just one side of the remaining paper which is a multiple of 7.
Calculate the area of just one side of the remaining paper. use 3.14 for the value of pi.Since the largest circle that can be encircled by a square has a diameter "d" equal to its side length, we may use "d" to conveniently calculate both the square's area and the circle's area.
The largest possibly circle has been cut from a piece of paper.
Square’s area = [tex]d^2[/tex]
Circle’s area =ᴨ[tex]d^2/4[/tex]
Simplifying-
(divide both area by [tex]d^2[/tex]) we find their ratio is 1:(ᴨ/4) or 4/ᴨ (square: circle), and the inverse, ᴨ/4 circle: square.
Therefore diameter of circle =14 cm.
Hence area of circle=πr2.
If you use 22/7 as an approximation for ᴨ, the circle’s area 22/28 of the square’s, the square’s area is 28/22 of the circle’s , it follows that the area outside the circle is (28–22)/28 of the square’s area, which is (28–22)/28 x 14 x14,
or 6/28 x 14 x 14,
or 3/14 x 14 x 14,
or 42 square inches or-
(4-ᴨ)/4 x 14 x 14
22/7, It's a rather accurate estimate.
22/7 was considered while choosing the square's side length, which is a multiple of 7.
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An outlier is a data value that is numerically distant from ________ of the other data points in a set of data
Answers
In the statement regarding outlier we have to fill "most" to complete the statement.
Given An outlier is a data value that is numerically distant from_________ of the other data points in a set of data.
We have to fill the blank. We can fill " most" in the blank.
If a number in data is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution then that number is said to be an outlier.
There are two types of outliers: upper outliers, lower.
If any values in the data set are greater than the upper boundary then those values are the upper outliers.
If any values in the data set are less than the lower boundary then those values are called lower outliers.
Lower quartile =[tex]Q_{1}-1.5*IQR[/tex]
Upper quartile=[tex]Q_{3}+1.5*IQR[/tex]
Hence we have to use most in the sentence to complete it.
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MATH!! please helppp!!!
What is the slope of the line below?
(i attached an image)
a) (0,4)
b) -1/3
c) (-1.5,0)
d) 3
e) 4
f) (0,4)
g) -3
h) 1/3
Answers
Answer:
D
Step-by-step explanation:
Looks like from the y-intercept of (0, 4), it goes to (1, 7). Therefore, it should be 3, or D.
(Just to make sure, you can plug it into the slope formula to get (7-4)/(1-0), which should give you 3!)
eric borrowed 5,000 to buy a used car. he agreed to make monthly payments of 175.00 for 36 months how much will how actually pay the bank
Answers
The actual payment Eric made to the bank at 175.00 for 36 months is 6,300
Actual paymentAmount borrowed = 5,000Monthly payment = 175.00Number of months = 36Actual payment to bank = Monthly payment × Number of months
= 175.00 × 36
= 6,300
Therefore, the actual payment made to the bank is 6,300.
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The table represents some points on the graph of a linear function.
Which function represents the same relationship
Answers
Answer:
Step-by-step explanation:
y-20 = 0.75(x-4) solve for y
Answers
Answer:
y = 0.75x + 17
Step-by-step explanation:
y - 20 = 0.75(x-4)
y - 20 = 0.75(x) + 0.75(-4)
y - 20 = 0.75x -3
y = 0.75x -3 + 20
y = 0.75x + 17
y - 20 = 0.75(x - 4) |add 20 to both sides
y = 0.75(x - 4) + 20we can simplified equation:
use the distributive property: a(b + c) = ab + ac
y = 0.75x - 0.75 · 4 + 20
y = 0.75x - 3 + 20
y = 0.75x + 1720 points, Find the area of the rectangle
Answers
Answer: 24yd^2
Step-by-step explanation:
area of triangle=(1/2) (base)(height) eq(*)
from given triangle
height =6 yd
base =8yd
putting values in eq(*)
area=(1/2)(8)(6)
area =24yd^2
Answer:
24yd²
Step-by-step explanation:
Area of a triangle=1/2*base*height
1/2*8*6
u'll be left with
4*6=24
Therefore Area of the triangle is 24yd².
HOPE THIS HELPS
Which fraction has the largest value? Select the correct answer
Answers
Answer:
7/8 =0.875
Step-by-step explanation:
7/8 =0.875
4/5 =0.8
3/4 =0.75
Answer:
3/4
Step-by-step explanation:
Because if you had a Fraction Strip. 7/8 is a small Rectangle and 3/4 is a bigger Rectangle than 7/8. Look here: https://toytheater.com/fraction-strips/
What is the value of the discriminant of the quadratic equation-2x^2=-8x+8,and what does its value mean about the number of real number solution the equatioj has?
Answers
The value of the discriminant is zero and therefore the equation has two equal and real roots.
What is discriminant ?For a quadratic Equation ax²+bx+c = 0 , the discriminant is D = b²-4ac
The given quadratic equation is -2x² = -8x+8
comparing with the standard equation
a = 1
b = -4
c = 4
Simplifying the equation given
[tex]\rm -2x^2+8x-8 = 0\\\\ -2(x^2-4x+4) = 0\\\\x^2-4x+4 = 0[/tex]
The discriminant is given by
D = (-4)²-4 * 1 *4
D = 16-16
D = 0
If D = 0 ,the equation has two equal and real roots.
Therefore, The value of the discriminant is zero.
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Find the value of x. Then find the measure of each labeled angle.
Answers
Answer:
x = 20, so the labeled angles are 80° and 100°.
Step-by-step explanation:
[tex]5x + 4x = 180[/tex]
[tex]9x = 180[/tex]
[tex]x = 20[/tex]
So the labeled angles measure 80° and 100°.
Answer:
x = 20,the labeled angles are 80 and 100 degrees
Step-by-step explanation:
if we multiply them by 20 we will get 80 and 100
Find the Value of X!!! Geometry!! Pls helppp!! I will mark brainlest. Thank you!! :)
Answers
help me with this, please
20 points
Answers
there’s two ways to solve this.
Way one : split the Garden into two rectangles . Find the area of the two rectangle and Add them
First rectangle 5x3 = 15
Second triangle (6-3)x2 = 6
15+6= 21
The Area for the Garden is 21
Way two find the area of the whole Garden And subtract with patio
Backyard: 5x6= 30
Patio : 3x3= 9
30-9=21
The area of the garden is 21
Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.
What is the area of the sector that is not shaded?
12Pi units squared
24Pi units squared
120Pi units squared
Answers
The area of the unshaded region of the circle will be 120π units squared.
The area of a sector of a circle of radius r having an angle a° is given by:
Area of sector = (π*[tex]r^{2}[/tex])*(a°/360°) units squared.
Given ∡KLM = 60°. The radius of the circle is 12 units.
⇒The area of shaded sector KLM = (π*[tex]12^{2}[/tex])*(60°/360°) = π·144/6 = 24π sq. units.
The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π*[tex]12^{2}[/tex]) - 24π = 120π sq units.
∴ The area of the unshaded region of the circle is 120π units squared.
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This question is incomplete. Find the missing figure below.
What does the author predict about the future of the Earth's mantle? Do you support his educated guess? Use complete sentences to answer.
Answers
The prediction of the author about the future of the earth's mantle is that it would affect the sea level rise.
What is a Prediction?This refers to the statement that contains a forecast about future events that is made.
Hence, we can see that from the complete text, there is the scientific explanation of the lead researcher about the future of the Earth's mantle and how this would affect sea levels as they would increase.
Yes, I support his guess because he made use of past events and current happenings to show the effects on the sea levels.
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HELP HELP HELP!!!
How many degrees is arc ZY?
How many degrees is angle YXZ?
Line XZ is a diameter of the circle. How many degrees is arc XYZ?
How many degrees is arc XY?
(Picture is attached below. Thank you)
Answers
Part 1
By the inscribed angle theorem, arc ZY measures 76 degrees.
Part 2
Since angles inscribed in the same arc are congruent, angle YXZ measures 38 degrees.
Part 3
Since diameters form semicircles and the arc of a semicircle measures 180 degrees, arc XYZ measures 180 degrees.
Part 4
Subtracting arc ZY from arc XYZ, we get 104 degrees.
What is the assessed valuation of a house with a $152,740 market value and a 60 percent assessment rate?
O $254,567
O $244,384
$91,644
O $61,096
Answers
Answer:
$254,567
Step-by-step explanation:
The houses market value is $152,740 and has a 60% assessment rate, the assessed valuation of this house would be $254,567. How we got this was by dividing the house total which is $152,740 by the assessment percentage rate which is 60 percent. Simply $152,740÷0.60
Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually?
Answers
Answer:
$7798.84
Step-by-step explanation:
please mark brainliest if correct
5. a. Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces, all of the same length to make window grills. Calculate the length of the longest piece that can be cut from each of the rods and hence the number of pieces that can be obtained from the rods.
Answers
Answer:
Step-by-step explanation:
you find the L.C.M
18 234 270 324
13 13 15 18
3 1 15 18
5 1 5 6
6 1 1
1 1 1 ans=18×13×3×5×6=21060
Assuming the weights are in kilograms, what is the mystery weight of y? use the equation you created in part a to find the solution. type the correct answer in the box. use numerals instead of words. if necessary, use / for a fraction bar.
Answers
The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.
Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.
We have to first form an equation.
If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.
Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.
y+y+1+1+1=y+y+y+y+2
2y+3=4y+2
2y-4y=2-3
-2y=-1
y=1/2
Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.
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Question is incomplete as it should include the given figure.
What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=x2:
a) Shift right 1 unit;
b) Compress horizontally by a factor of 2
Answers
The expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]
How to determine the expression?The function is given as:
[tex]f(x) = x^2[/tex]
When the function is shifted right by 1 unit, the rule is:
f'(x) = f(x - 1)
So, we have:
[tex]f(x) = (x - 1)^2[/tex]
When the function is compressed horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
[tex]g(x) = (\frac x2 - 1)^2[/tex]
Hence, the expression of function g(x) is [tex](\frac x2 - 1)^2[/tex]
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please help me on finding out if these are similar
Answers
The triangles are not similar because their corresponding angles are not congruent to each other.
How to Determine if Two Triangles are Similar?If two triangles are similar, their corresponding angles will be congruent to each other. Therefore, two triangles with congruent angles are either similar or congruent to each other. If they are similar, their corresponding sides will have proportional length.
From the image given, the angles of triangle ABC are:
C = 30
B = 90
A = 180 - 90 - 30 = 60.
Triangle LMN are:
L = 90
M = 55
N = 180 - 55 - 90 = 35
Thus, the corresponding angles are not congruent, therefore, they are not similar.
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Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a white tile or a tile with an even number? Red tiles: 1, 2, 1, 3, 2, 3, 2, 4, 3, 1. Grey tiles: 2, 3, 1, 2, 3, 4, 1, 4, 1, 2. Blue tiles: 3, 2, 1, 3. Purple tiles: 1, 3, 4, 3, 4, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 3. Green tiles: 1, 1, 2, 3, 2, 1, 4, 3. Yellow tiles: 2, 4, 2. Black tiles: 1, 2, 1, 4, 3. White tiles: 1, 3. a. 8/15 b. 1/72 c. 1/4 d. 9/20
Answers
The probability that she selected a white tile or a tile with an even number will be 9/20.
How to calculate the probability?The probability simply means the act of choosing an event based on the likely occurence.
In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.
Therefore, the correct option is D.
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Jin has $0.20 worth of pennies and nickels. He has a total of 12 pennies and nickels altogether. By following the steps below, determine the number of pennies, x, and the number of nickels, y that Jin has.
Answers
The number of pennies, x, and the number of nickels, y that Jin has is 10 and 2 respectively.
Pennies and nickelsA penny = $0.01A nickel = $0.05number of pennies = xNumber of nickels = yThe equation:
x + y = 12
0.01x + 0.05y = 0.20
from (1)
x = 12 - y
substitute 12-y into (2)
0.01x + 0.05y = 0.20
0.01(12 - y) + 0.05y = 0.20
0.12 - 0.01y + 0.05y = 0.20
- 0.01y + 0.05y = 0.20 - 0.12
0.04y = 0.08
y = 0.08/0.04
y = 2
substitute y = 2 into (1)
x + y = 12
x + 2 = 12
x = 12 - 2
x = 10
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A fish tank with a rectangular base has a volume of 3360 cubic inches. the length of the tank is 14 inches and the width is 12 inches. the height of the tank is 20 inches. if one fluid ounce is 1.8 cubic inches how much water will the tank hold ? your answer should be in gallons.
Answers
Answer:
14.58 gallons
Step-by-step explanation:
The tank volume is 3360 in^3, which is the product of the base x length x height (14)(12)(29) = 3360 in^3.
We are given a conversion factor: 1 fluid oz = 1.8 in^3
We can write this as (1 fluid oz)/( 1.8 in^3).
Use this conversion factor to confert volume to fluid oz:
(3360 in^3)*((1 fluid oz)/( 1.8 in^3)) = 1867 fluid oz
There are 128 fluid oz/gallon. Make this into a conversion factor:
(1 gallon/128 fluid oz) [The conversion factor can be written with oz or gallon on the top - it makes no difference since the two values are equal to each other]
(1867 fluid oz)*((1 gallon/128 fluid oz) = 14.58 gallons
water the tank will hold = 14.583 gallons
What is cuboid ?A cuboid is a three-dimensional or solid shape. A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges. Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces. The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
Given : A fish tank has a volume = 3360 cubic Inches.
The length of the tank is =14 inches
the width is = 12 inches.
The height of the tank is = 20 inches.
If one fluid ounce is = 1.8 cubic inches
Volume of tank = 14 * 12 * 20 = 3360 cubic inches
1.8 cubic inches = one fluid ounce
3360 cubic inches = 3360/1.8 fluid ounce
= 5600/3 fluid ounce
As we know,
1 gallons = 128 fluid ounces
water the tank will hold =( 5600/3 ) / 128
= 175 / 1 = 14.583 gallons
Therefore, water the tank will hold = 14.583 gallons
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D=
Help me please thank you:)
Answers
Step-by-step explanation:
since DE is parallel to the diameter RS, D and E are just a transformation of R and S, where R and S slid up the same distance on the circle arc.
therefore, RD = SE.
and therefore d is half of the supplementary angle to the angle DE (that means together the angle DE and the supplementary angle are 180°).
so,
d = (180 - 50)/2 = 130/2 = 65°
You want to make a playlist with all different songs. How many ways can you make a playlist of 16
songs if you must play Leavon, Dream on, Here Comes the Sun, and Clocks in that order?
Answers
The number of ways to make the playlist with all different songs such that the 4 songs are in order is; 16!/13!3!.
What numbe of ways can the the playlist be made if the songs must be in order?It follows from the task content, that a playlist of 16 songs is to be made.
Additionally, the songs Leavon, Dream on, Here Comes the Sun, and Clocks must be played in order.
In essence, only 13 varieties are now available from the sixteen.
Therefore, the number of different ways to make the playlist is; 16!/13!3!.
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