Answer:
12/30, if you reduce then it would be 2/5 because you divided by 6 hope this helps! :D
Step-by-step explanation:
The fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]
Let the wedding cake be W.Let the eaten portion be E.Given the following data:
Total wedding cake slices = 30 slicesNumber of cake slices eaten = 12 slices.To find the fraction that represents the eaten portion of the cake;
In this exercise, you're required to find what fraction represents the eaten portion of the wedding cake.
[tex]Fraction = \frac{E}{W}[/tex]
Substituting the values into the equation, we have;
[tex]Fraction = \frac{12}{30}[/tex]
Dividing both sides by 6, we have;
[tex]Fraction = \frac{2}{5}[/tex]
Therefore, the fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]
Read more: brainly.com/question/12212308
What is the distance between (2, -4) and (9,-4)?
8 units
11 units
0 units
07 units
Answer: 7 units
Step-by-step explanation:
In a survey of 1,800 people who owned a certain type of car, 810 said they would buy that type of car again. What percent of the people surveyed said they were satisfied with the car?
Answer:
10%
Step-by-step explanation:
1,800 people represent 100 % of people
810 people represent x % of people
once you line up people and percent in columns think cross multiplication
x= 810*100/1,800 = 10 %
Instructions: Find the missing segment in the image below.
Help please
Answer:
9
Step-by-step explanation:
It’s a ratio.
5/30=x/54
reduce
1/6=x/54
cross multiply
54=6x
x=9
Which expression is equivalent to -51 - (-60)−51−(−60)minus, 51, minus, left parenthesis, minus, 60, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
-60+(-51)−60+(−51)minus, 60, plus, left parenthesis, minus, 51, right parenthesis
(Choice B)
B
60+5160+5160, plus, 51
(Choice C)
C
51-6051−6051, minus, 60
(Choice D)
D
-51+60−51+60minus, 51, plus, 60
Answer:
it's B.
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
Jordan is making a wreath that uses different colors of ribbon
Answer:
Step-by-step explanation:
he needs 10 inches of each color to make the wreath
10
+ 10
+ 10
+ 10
= 40
40 inches of ribbon
simplify the radical of 200 squared
Answer:
The answer is 10√2.
Step-by-step explanation:
Step by step exclamation please
Answer:
Expression: 48x + 120y & Area = 1,008 square feet
Step-by-step explanation:
12(4x + 10y)
multiple the 12 into 4x + 10y
12 x 4x = 48x
12 x 10y = 120y
48x + 120y
x = 6 ft
y = 4 ft
Substitite in numbers
48x + 120y
48(6) + 120(6)
Multiply
288 + 720
Add
288 + 720 = 1,008 square feet
PLEASE HELPPPP
Find the value of y
X+ y= 20
8x + 6y=133
Which statements are true about a triangular pyramid? Check all that apply
It has exactly to faces that are triangles.
has exactly three faces that are triangles.
It has exactly four faces that are triangles
chas 4 vertices
it has 5 faces
It has 6 edges
Answer:
✔︎ C) It has exactly four faces that are triangles.
✔︎ D) It has 4 vertices.
✔︎ F) It has 6 edges.
༄❁༄❁༄❁༄❁༄
hope it helps...
have a great day!!!
Answer:
C) It has exactly four faces that are triangles.
D) It has 4 vertices.
F) It has 6 edges.
Step-by-step explanation:
hope it helps..
In the diagram below AH, AD, and DH are each tangent to circle Q.AT=9,AH=13, and AD= 15 what is HD
Answer: 10
Step-by-step explanation:
I’m positive
can someone pls help me on this one
What IS the approximate length of arc s on the circle below? Use 3.14 for T Round your answer to the nearest
tenth.
Answer:
14.1 inches
Step-by-step explanation:
The formula to be used to find the arc length is Ф = s(arc length) / r(radius)
First we rearrange the formula to find the arc length which would be s = Ф * r
This formula only works in radians so the first step is converting 135° to radians so we would do 135° * π radians/180° which would give us 3π/4
We would then multiply 3π/4 * 6 and get 18π/4, plugging that value into a calculator returns us a value of ≈ 14.137
We then round to the nearest tenth and get an answer of 14.1 inches for the arc length of the circle below
HELP FAST 45 POINTS WILL GIVE BEST ANSWER BRAINLIEST
Answer:
1343.42 in³
I am sure about this answer because I had this in my syllabus last year.
Answer:
Vtotal = (vol of prism) + (1/2)(vol of cylinder)
volume of prism = 9×10×11 = 990 in^3
volume of cylinder = pi×(5in)^2×(9in)
= 225pi in^3
Therefore, the total volume is
Vtotal = 990 in^3 + (1/2)(225pi in^3)
= 1343.4 in^3
Please help meeee!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Which point is a reflection of (-4, -3) across the y-axis?
Answer:
(4,-3)
Step-by-step explanation:
The y coordinate stays the same, and the x changes from positive to negative
Find the 8th term of the geometric sequence 3, 12, 48, ...
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
$33,672.68
$34,157.04
$33,299.42
$34,710.88
$34,389.55
The requried, Mark will have paid a total of $34,389.55 after 5 years. The answer is option E, $34,389.55.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
We can use the formula for compound interest to find the total amount Mark will have paid after 5 years:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
where A is the total amount paid, P is the principal (the original loan amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the time in years.
In this case, we have:
P = $25,690
r = 0.052 (5.2% expressed as a decimal)
n = 12 (compounded monthly)
t = 5
Substituting these values into the formula, we get:
[tex]A = $25,690(1 + 0.052/12)^{(12*5)}[/tex]
A = $34,389.55
Therefore, Mark will have paid a total of $34,389.55 after 5 years. The answer is closest to option E, $34,389.55.
Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ2
Plz help me!!!!! 3. &4 only!!!
Answer:
Step-by-step explanation:
3.
Note that
[tex]L_1 : 4x-y=10 \\ L_2: -2x+4y=16[/tex]
aren't parralel lines. So they are intersected in one point.
Answer: Number of solutions is ONE. The system is soluble
4.
Similarly to 3. Number of solutions is ONE. The system is soluble
need help asappppppp
Answer:
hypotenuse
Step-by-step explanation:
Answer:
I believe it is D hypotenuse
Step-by-step explanation:
In geometry, a hypotenuse is the longest side of a right-angled triangle.
darius and dakota re roommates. together they have 238 books. if darius has 50 more books than dakota, how many books does dakota have? write an algebraic equation using x for a variable for the situation and solve for x
Answer:
Dakota has 94 books, while Darius has 144.
Step-by-step explanation:
Given that Darius and Dakota are roommates, and together they have 238 books, if Darius has 50 more books than Dakota, to determine how many books does Dakota have the following calculation must be performed:
Dakota = X
Darius = X + 50
X + X + 50 = 238
2X + 50 = 238
2X = 238 - 50
X = 188/2
X = 94
Therefore, Dakota has 94 books, while Darius has 144.
1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Luz has 2 red, 2 white, and 3 blue marbles in a cup. If she draws two marbles at random and does not replace the first
one, find the probability of a white marble and then a blue marble.
Answer:
The probability of white marble is 2/ 7
The probability of blue marble = 3/7
Step-by-steThe prop explanation:
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot.
9514 1404 393
Answer:
0.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(71°) = (2.5 ft)/SQ . . . . . . . . fill in the given values
SQ = (2.5 ft)/tan(71°) ≈ 0.8608 ft
The length of SQ is about 0.9 feet.
Through: (2/2), slope = -1/2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
In 1992, Jason bought a gallon of gas for $1.18. Yesterday, he bought a gallon of gas for $2.10. What is the percentage increase of the price of a gallon of gas
from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
Answer:
1.77 percent increase
write a recursive rule for the sequence: 2, 8, 32, 128, 512,. . . (NO LINKS!!!)
Answer:
a1 =2
an = an-1 * 4
Step-by-step explanation:
We can tell this is geometric by the way it increases
To find the common ratio, take the second term and divide by the first term
8/2 =4
Check to make sure
2*4=8
8*4 =32
32*4 =128
The recursive formula is
a1 = the first term
an = an-1 *r
a1 =2
an = an-1 * 4
14% of a certain food is fat. Out of 400 total grams, how many grams are not fat?
Answer:
344 grams are not fat
Step-by-step explanation:
400 x (100% - 14%) =
400 x 86% = 344
Hope that helps! :)
-Aphrodite
Solve it please
Please please please
Answer: x = 30
==========================================================
Explanation:
When adding three angles of any triangle, they always add up to 180
3x+2x+x = 180
6x = 180
x = 180/6
x = 30
This then means,
3x = 3*30 = 902x = 2*30 = 60This triangle is a 30-60-90 triangle.
Determine whether the scenario involves independent or dependent events.
A basket contains seven apples and six peaches. You randomly select a piece of fruit and then return it to the basket. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.
Please help me fast i need help please