The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
What are the mixed numbers?Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.
Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,
[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]
Jeff has 2 1/2 cups of strawberries. In the fractional number,
[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]
Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,
[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]
Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
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please help!!!! the other boxes under 4 and 15/2 are 10 and 5
Answer:
see explanation
Step-by-step explanation:
given that x and y are proportional relationships , then
y = kx ← k is the constant of proportionality
divide both sides by x
[tex]\frac{y}{x}[/tex] = k
using corresponding values of x and y from each table to find k
first table
k = [tex]\frac{10}{1}[/tex] = 10
second table
k = [tex]\frac{20}{4}[/tex] = 5
third table
k = [tex]\frac{15}{2}[/tex]
fourth table
k = [tex]\frac{4}{1}[/tex] = 4
Find KE the answer is 40 I just need help getting to it.
Answer:
EK = 8
Step-by-step explanation:
Intersecting Chords Formula: a • b = c • d
BK * KD = EK * KC
4 * 10 = (x+1) * (x-2)
40 = x^2 +x-2x-2
40 = x^2 -x -2
0 = x^2 - x-2-40
0 = x^2 -x -42
Factor
0 = (x-7) (x+6)
Using the zero product property
x-7 = 0 x+6 =0
x=7 x=-6
X is not negative
x=7
EK = x+1
EK = 7+1
EK = 8
Math ahh need done ASAP
Answer:
a) 3Step-by-step explanation:
Use the nth tern equation of the AP
[tex]a_n=a_1+(n-1)d[/tex]We have
[tex]a_1=-2[/tex] and [tex]a_{10}=25[/tex]Find the value of d
25 = - 2 + (10 - 1)d25 + 2 = 9d27 = 9dd = 27/9d = 3Correct choice is a)
Now
a_n=a+(n-1)d25=-2+9d9d=27d=3This graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
Does the system of inequalities have solutions? If so, which region contains
the solutions?
A
-10 -8
10
-10
A. There is a solution, and it is shown by region B.
B. There is a solution, and it is shown by region C.
C. There is a solution, and it is shown by region A.
D. There is no solution.
B2
4
FO
C
00
The system of inequalities have no solutions, option D is correct.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.
We have to find the system of inequalities have solutions has solutions or not
As we observe the graphs y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.
So the two inequalities does not have solution
Hence, the system of inequalities have no solutions, opton D is correct.
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Hector would also like to see a professional sumo tournament while he is there, which would cost him ¥5,488. if the conversion rate of us dollars to japanese yen is 1:94.153 at the time of hector’s trip, how will this affect his budget? a. hector can see the sumo tournament and have about $322 left over. b. hector can see the sumo tournament and have about $86 left over. c. hector has exactly enough left in his budget to see the sumo tournament. d. hector cannot afford to see the sumo tournament, because it would put him over budget by almost $12.
Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.
How to find cost of Victor's tournament?Amount with Victor = $380Conversion rate of US dollars to Japanese yen = 1 : 94.153
Cost of the trip = ¥5,488Ratio of dollar to Yuan
1 : 94.153 = x : 5,488
1/94.153 = x / 5,488
cross product1 × 5,488 = 94.153x
5,488 = 94.153x
x = 5,488 / 94.153
x = 58.2881055303601
Approximately,
x = $58
Amount left with Victor = Total money with Victor - amount spent
= $380 - $58
= $322
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Find the value of x.
please explain because I'm confused
Answer:
40
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°. This relation lets you write an equation for x.
__
Clockwise from the bottom, the sum of exterior angles is ...
90° +(x +35)° +(x +15)° +(2x -20)° +(2x)° = 360°
120° +6x° = 360° . . . . . . . simplify
6x = 240 . . . . . . . . . . divide by °, subtract 120
x = 40 . . . . . . . . . . divide by 6
The value of x is 40.
Answer:
x = 40°
Explanation:
The shape is a pentagon. Any polygon's exterior angles sum up to 360°.
Now, they all sum up to 360° :
⇒ (x + 35) + (x + 15) + (2x - 20) + 2x + 90 = 360°
⇒ x + x + 2x + 2x + 35 + 15 -20 + 90 = 360°
⇒ 6x + 120° = 360°
⇒ 6x = 360° - 120°
⇒ 6x = 240°
⇒ x = 240°/6
⇒ x = 40°
A charity received 240 donations. The total amount received was 7,680. If x represents the average donation, which THREE statements are
correct?
Answer:
x=32
Step-by-step explanation:
Atheles leaving practice are asked what their favorite sport is. is it sample or random sample and why is it.
This is not really a random sample. The athletes are heavily biased toward loving sports. Likely they'll pick their favorite sport to be the one they are currently playing.
Example: if basketball players are asked their favorite sport, they likely might pick basketball.
A much better approach is to randomly select names from a hat, use computer software, or a random number table. This will produce a more random sample to help better represent the population.
is −1.28 a rational number?
The number -1.28 is rational if it is an integer or decimal, so yes it is.
Answer:
we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828 The mixed number is then equal to,
1 and 28/99 or 1 and 28 over 99
Therefore, the answer to this item is the second choice.
Step-by-step explanation:
My brother helped me with this one
In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them
play baseball. There are 2 students who play both sports. What is the probability tha
a student chosen randomly from the class plays basketball or baseball?
Answer: 19/28
Step-by-step explanation:
p(student plays basketball)= 14/28
p(student plays baseball)= 7/28
2 students play both sports= 2/28
⇒ 14/28+ 7/28 - 2/28 = 19/28
Quick please!
Tell whether a triangle with the given side lengths is a right triangle.
16 in, 34 in, 30 in
Answer:
It's a right triangle ..
Step-by-step explanation:
By using Pythagoras theorem , we can know that it's a right angled triangle or not ..
so , H² = P² + B²
=> 34² = 16² + 30²
=> 1,156 = 256 + 900
=> 1,156 = 1,156
Hence , it's a right triangle
What is the perimeter of ABDE?
Answer:
answer C.
Step-by-step explanation:
the base of the triangle is 4 units.the other leg is sqrt5.
the last leg is 4 +9 = 13 so it is sqrt 13.
add them all up together and you get 4+sqrt 13 + sqrt 5 which is C.
hey I will guess you are above oklahoma because it is raining(bottom right) and your temp starts with 6
#73 will give brainliest to best answer!
Answer:
y=x^2+6
Step-by-step explanation: Look at the vertex (0,6). We know the equation is quadratic so we know x^2. We know in the slope-interpect form equation the y-intercept is the term after the slope. The same applies in this equation. So that means the y intercept is 6 because y is 6 in the coordinate (0,6). We know the slope x^2. We need to plug that into the slope-intercept form equation.
The equation will be y=x^2+6.
Answer:
[tex]y = x^2 + 6[/tex]
Step-by-step explanation:
Vertex form for a parabola is [tex]y = a(x-h)^2 + k[/tex] where the vertex is [tex](h,k)[/tex]. Now for a vertex of (0,6), we can simply plug those values in for h and k: [tex]y = x^2 + 6[/tex].
Hope this helps!! :)
In a video game, the player can choose a character from 4 animal characters and 3 human characters. Players can also let the computer randomly select a character for them. The player will have the computer randomly select his character. What is the probability it will pick a human character? Enter your answer as a fraction in simplest form in the box. PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
The probability of selecting the human characters will be equal to 3 / 7.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The player can choose a character from 4 animal characters and 3 human characters.The probability will be calculated as:-
Probability = 3 / (3+4)
Probability = 3 / 7
Therefore the probability of selecting the human characters will be equal to 3 / 7.
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Question 1 (Essay Worth 10 points)
(08.01 MC)
Minnie is doing a survey to find the time her classmates spend playing musical instruments. She asks the following question:
Which student spends the most time playing musical instruments?
Part A: Describe the data you would expect her to collect from this question. (5 points)
Part A: She needs to collect different types of data to form her classmates. It will help her to find which student spends the most time playing musical instruments.
Part B: Yes, it is a statistical question.
What does Zoe need to do?Zoe needs two main data from each of her classmates.
1. Name of her classmates.
2. Which student spends how much time playing musical instruments.
After that, she can make a graph or a chart in order to understand which student spends more time playing musical instruments.
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i need some help with this question.
The scale factor will be 1.5. The corresponding angles are congruent because the size is changed not the angles.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
Adnan wants a larger garden.
He draws the triangle ΔPQR to show his original garden.
He wants to enlarge a garden, so he uses a dilation to form the image of the triangle ΔPQ'R'.
He uses vertex P as the center of the dilation.
The ratio of the corresponding sides will be given as
PQ'/PQ = Q'R'/QR = R'P/RP = 1.5
The scale factor will be 1.5.
The corresponding angles are congruent because the size is changed not the angles.
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If Birr 5000 is invested with a compound interest rate of 4 percent per annum, which of the following is the amount of the future value at the end of a 24th month?
a.
5203.02005 Birr
b.
5634.6205 Birr
c.
5365 Birr
d.
5408 Birr
Answer:
d. 5408 Birr.
Step-by-step explanation:
24 months = 2 years.
Amount after 2 years = 5000(1 + 0.04)^2
= 5408.
What change in government did the British demand of Massachusetts?
needs help
Answer:
They were no longer able to trade with England. They were no longer able to elect their own governor.What is the solution of startroot x 12 endroot = x?
Answer:
x = 0 ; x = 1
Step-by-step explanation:
[tex]\sqrt{x^{12}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{x^{6\times 2}} =x[/tex]
[tex]\Longleftrightarrow \sqrt{\left( x^{6}\right)^{2} } =x[/tex]
[tex]\Longleftrightarrow |x^{6}|=x[/tex]
[tex]\Longleftrightarrow x^{6}=x\ \ \ ;\ |x^{6}|=x^{6}[/tex]
[tex]\Longleftrightarrow x^{6}-x=0[/tex]
[tex]\Longleftrightarrow x(x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0 \ \ or\ \ (x^{5}-1)=0[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x^{5}=1[/tex]
[tex]\Longleftrightarrow x=0\ \ or\ \ x=1[/tex]
What are the coordinates for B?
options:
(4, -4)
(-3, -2)
(2, 2)
(-4, 4)
Answer:
(2,2)
Step-by-step explanation:
coordinates are written as (x,y)
where x represents the x value of the coordinate and y represents the y value of the coordinate.
If we look at the graph we can tell that "b" has an x value of 2 and a y value of 2
Therefore we can say that "b" is positioned at (2,2)
Answer:
C. (2, 2)
Step-by-step explanation:
A coordinate is used to identify a point on a graph. A coordinate is written in the form of (x, y), where x is the x-value and y is the y-value.
The x-value is the number of units left or right from the origin (0, 0), and it gets negative by going left and positive by going right.
The y-value is the number of units up or down from the origin (0, 0), and it gets negative by going down and positive by going up.
For example, the coordinates (1, -2) indicate that the x-value goes to the right one unit and the y-value goes down two units.
Here, we are asked to find the coordinate of B:
The x-value is positive 2, which means it went to the right two from the origin.The y-value is positive 2, which means it went up two units from the origin.Our coordinate should look like this: (2, 2)Therefore, the correct answer is C. (2, 2)
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the number of ducks living at the pond increased by 40%
Find the equation of the line shown
A wire of length 4x is bent into the shape of a circle. A. Express the circumference of the circle as a function of 4x. B. Express the area of the circle as a function of 4x.
The circumference of the wire is 4x and the area of the circle is 4x^2/π
How to determine the circumference?The length of the wire is given as;
Length = 4x
This represents the circumference.
Hence, the circumference of the wire is 4x
How to determine the area?In (a), we have:
Circumference = 4x
Calculate the radius using:
2πr = 4x
Divide through by 2π
r = 2x/π
The area is:
Area = πr^2
This gives
Area = π(2x/π)^2
Evaluate
Area = 4x^2/π
Hence, the area of the circle is 4x^2/π
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Hi please help ASAP
Amos is painting his pots. He needs one forth of a liter to paint all four pots.
How much paint will he need for each of his 4 pots if he uses the same amount of paint on each?
Answer:
he would use 1/16 of a liter or 2.11 oz
Step-by-step explanation:
so i took 1/4 and divided up into 4 which is 1/16 and then i took 1/4 liter and divded that up into 4 to get 2.11 oz
If YV = 23 ft, find the length of VYX to the nearest tenth.
The length of EC shown in the diagram is 66.2.
"To understand the calculation, check below."
TrianglesΔBE - ΔAE = ΔAB
ΔAB = 180°- 117°
ΔAB = 63°
Δ[tex]BE-[/tex] Δ[tex]AB-[/tex] Δ[tex]BC[/tex] = Δ[tex]CD[/tex] (Congruent angles)
Δ[tex]CD= 180 - 63 - 15[/tex]
Δ[tex]CD=102[/tex]
[tex]EC = 102 + 63[/tex]
[tex]EC=165[/tex]
[tex]L = 165[/tex] • [tex]2\pi23/360[/tex]
[tex]L = 66.2[/tex]
Therefore, EC = 66.2
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The given sphere has a radius of 2 inches. a sphere with radius of 2 inches. what happens to the volume if the radius is doubled? the volume of the new sphere is times larger than the volume of the original sphere.
Answer:
8 times larger than original
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³
when r = 2 , then
V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8
when r is doubled , that is r = 4 , then
V = [tex]\frac{4}{3}[/tex]π × 4³ = [tex]\frac{4}{3}[/tex]π × 64
64 is 8 times larger than 8
then new sphere is 8 times larger than original sphere
Answer:
8 times
Step-by-step explanation:
Find each measurement indicated. Round your answer to the nearest tenth.
The measure of the angle B is 30 degree after applying the sin law of triangle.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B
[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]
SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
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In a random sample survey of 80 students at Ned's middle school, 32 students said that math was their favorite subject. There are a total of 900 students at this middle school. Based on this survey, how many students would you expect to say that math is their favorite subject?
Answer:
360
Step-by-step explanation:
from the survey:
32/80 - 0.4 love math
0.4*900
= 360
Isabella has a total of 150 music cds .she love rock music and alternative music .the number of alternative music cds is three that of the rock music cds that she owns. write the two equations that represent this information .
The two equation that represents the information is x + y = 150
y = 3x
How to form an equation?
let
the number of rock music = x
the number of alternative music = y
Therefore,
x + y = 150
y = 3x
The two equation that represent the information are as follows:
x + y = 150
y = 3x
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HELP FAST ITS EASY I JUST NEED TO MAKE SURE PLEASE SOMEONE WHO HAS REAL SKILL AND CAN FINSH THIS ANSWER IT PLEASE I BEG U GUYS I NEED TO FINISH (GIVING BRAINLIEST!!)
Answer: 71/28 or 2 15/28
Step-by-step explanation:
Turn both fractions into improper fractions.
5 1/4 = 21/4
2 5/7 = 19/7 multiply the denominator with the whole then add the numerator, same denominator.
21/4 - 19/7 = ? find common denominator to subtract
4 x 7 = 28 common denominator
Divide the new denominator by previous denominators then multiply by each respective numerator. 28 divided by 4 is 7 multiplied by 21 is 147, the same happens with 19/7.
147/28 - 76/28 = 71/28 or 2 15/28