Answer:
He would need to save $22 dollars each week to pay for the bike in 7 weeks.
Step-by-step explanation:
We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.
So he needs to pay 22 dollars each week to pay off the bike in seven weeks
Mario had yards of ribbon for a project. Sue gave him more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
The closest to the number of yards of ribbon Mario had altogether will be 11 yards
What is meant by Fraction?A fraction is a part of the whole number, and a way to split up a number into equal parts. Or, A number that is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that;
Mario had 8 1/5 yards of ribbon for a project.
And, Sue gave him 2 3/4 more yards of ribbon.
Since Mario had 8 1/5 yards of ribbon for a project. And, Sue gave him 2 3/4 more yards of ribbon.
Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards
= 41/5 + 11/4
= (164 + 55) / 20
= 219 / 20 yards
= 10.95 yards
≈ 11 yards
Thus, the total ribbon for the project Mario has = 11 yards
The complete question is given below;-
Mario had 8 1/5 yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
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In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º. Find ZF, to the nearest 10th of
degree.
an
The angle measure of ∠F is approximately 66.9º.
What is an angle?
To find ∠F, we can use the Law of Cosines:
c² = a² + b² - 2ab cos(C)
Where c is the side opposite to the angle we want to find (in this case, side EF), a and b are the other two sides, and C is the angle opposite to side c (in this case, ∠F).
First, we need to find the length of side EF:
EF² = DE² + DF² - 2DE * DF cos(∠D)
EF² = (9.8)² + (5.6)² - 2(9.8)(5.6)cos(149º)
EF² ≈ 95.415
EF ≈ 9.769
Now, we can use the Law of Cosines again to find ∠F:
EF² = DE² + DF² - 2DE * DF cos(∠F)
cos(∠F) = (DE² + DF² - EF²) / 2DE * DF
cos(∠F) = ((9.8)² + (5.6)² - (9.769)²) / (2 * 9.8 * 5.6)
cos(∠F) ≈ 0.4035
∠F ≈ [tex]cos^{-1(0.4035)}[/tex]
∠F ≈ 66.9º (rounded to the nearest 10th)
Therefore, the measure of ∠F is approximately 66.9º.
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Complete question is: In ADEF, e = 9.8 inches, f = 5.6 inches and ZD=149º, the measure of ∠F is approximately 66.9º.
Work out
2/3 - 2/5
Give your answer in its simplest form.
Answer:
4/15
Step-by-step explanation:
find common denominators, which is 15
multiply 2/3 by 5 and and 2/5 by 3
2 x 5 = 10 and
3 x 5 = 15
10/15
2 x 3 = 6 and
5 x 3 = 15
6/15
subtract numerators
10 - 6
15
= 4/15
In College Park mice, short tails (ss) is recessive to long tails (SS). In the HJP building exterminators found the allele frequency of mice with short tales in the population within the building to be 0.7. In the BioPsyc building exterminators find that the allele frequency of the gene for short tale in mice in the building to me 0.2. Due to construction in the BioPsyc building several of the mice made HJP their new home. The exterminator guessed that about 20% of the mice in HJP now consist of mice from BioPsyc. What will be the new frequency of the short tales among mice in HJP?
a. 0.43.
b. 0.65.
c. 0.57.
d. 0.60.
The new frequency of short tail mice in HJP is 0.60.
What is Algebra?Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
Let, initial number of mice in HJP be 'x'
and the number of mice travelling from BioPyc building to HJP be 'ý
So, Total mice in HJP= x+ y
As, [tex]\frac{y}{x+y} = 0.2[/tex]
y= 0.2x + 0.2 y
0.8y =0.2 x
x= 4y
Now, total short tail mice in HJP= 0.7 x + 0.2 y
Thus, New frequency of short tail among mice in HJP
= [tex]\frac{0.7x + 0.2y}{x+y}[/tex]
Put x= 4y in above equation we get,
= [tex]\frac{0.7 * 4y+ 0.2y}{4y+y}[/tex]
= [tex]\frac{3y}{5y}[/tex]
= 0.60
Hence, the new frequency of short tail mice in HJP is 0.60.
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what is 4/5 of 2 hours
Answer:
1.6 hours
Step-by-step explanation:
Answer:
[tex] \frac{8}{5}~hours~~or~~1.6~hours} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5}~of~2~hours = [/tex]
[tex] = \frac{4}{5} \times 2~hours [/tex]
[tex]= \frac{4}{5} \times \frac{2}{1}~hours[/tex]
[tex] = \frac{4 \times 2}{5 \times 1}~hours [/tex]
[tex] = \frac{8}{5}~hours [/tex]
[tex] = 1.6~hours [/tex]
What comes after ones column?
Answer: tens
Step-by-step explanation: after ones comes tens, before ones comes decimal point
A mixture of pecans walnuts, and cashews was in a ratio of 2:31. How much of each type of nut was in her purchase?
equation:
pecans:
walnuts:
cashews:
Answer:
The ratio given cannot be used to find the answer
Fill in the missing values to make the equations true. (a) log 5 + log 3 = log₁ 5 (b) log, log, 7 = log, 7 - (c) log, 4 = log, 2
Step-by-step explanation:
try this option:
[tex]a) \ log_{15}5+log_{15}3=log_{15}15;\\b) \ log_{1/2}log_{49}7=log_77;\\c) \ log_44=log_22.[/tex]
Please list some “deeez nuts” joke :) <3
Teacher: In all your subjects I am giving you D's.
Student: Well I am also going to be giving you D's.
Teacher: What do you mean?
Student: Deeez nuts!
help please with this assignment
Answer:
13
Step-by-step explanation:
Cuz the factor of y is angle to the 115° is to the Y value
Please help asap!
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
spinner divided evenly into eight sections with three colored blue, one colored orange, two colored purple, and two colored yellow
Determine P(not orange) if the spinner is spun once.
25%
12.5%
87.5%
37.5%
(no links)
Answer:
7/8 = 87.5%
Step-by-step explanation:
You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).
Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.
The probability of not getting orange is 87.5%. The correct option is C.
What is probability?Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.
Probability = Number of favourable outcomes / Number of samples
Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
You only have one of eight (1/8) evenly divided orange sections.
The rest is not orange,
P = (1 - 1/8
P = 7/8
P = 87.5%
Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.
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HELP. Will give branliest!!! No links
Answer:
5/3 is correct
Step-by-step explanation:
29. What is length of x?
Please explain this one too me since I did not understand it thanks
The value of x is 10 yards. The given shape is a trapezoid.
What are trigonometry ratios?
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Draw a line parallel to the base.
Name the corner point of the shape.
Assume that ∠ADG = θ.
Consider △BDF:
BD = 6 + x
DF = 8 + 4.8 = 12.8 yrds.
The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.
cos θ = DF/BD
cos θ = 12.8 /(6+x) .....(i)
Consider △CDE:
cos θ = DE/CD
cos θ = 8/x .....(ii)
Now equate equations (i) and (ii):
12.8 /(6+x) = 8/x
Cross multiply:
12.8 × x = 8(6+x)
12.8x = 48 + 8x
12.8x - 8x = 48
4.8x = 48
Divide both sides by 4.8:
x = 48/4.8
x = 10
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The value of x is 10 yards. The given shape is a trapezoid.
What are trigonometry ratios?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Draw a line parallel to the base.
Name the corner point of the shape.
Assume that ∠ADG = θ.
Consider △BDF:
BD = 6 + x
DF = 8 + 4.8 = 12.8 yrds.
The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.
cos θ = DF/BD
cos θ = 12.8 /(6+x) .....(i)
Consider △CDE:
cos θ = DE/CD
cos θ = 8/x .....(ii)
Now equate equations (i) and (ii):
12.8 /(6+x) = 8/x
Cross multiply:
12.8 × x = 8(6+x)
12.8x = 48 + 8x
12.8x - 8x = 48
4.8x = 48
Divide both sides by 4.8:
x = 48/4.8
x = 10
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My question is in the pic
Answer: 7t+7
Step-by-step explanation: i know
Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7
ANSWER FAST
NO LINKS
16> f, if f=17
Answer:
It is False
Step-by-step explanation:
16>17 is not a true statement.
Please provide steps. I have a test soon.
Answer:
B) 5x+15y=30
5x-5y=10
Step-by-step explanation:
First, we solve the top equations by addition. Multiply the first one by -4.
-4x-12y=-24
4x-8y=4
This equals -20y=-20, so y=1. Now we put that back into either equation and find that x=3. So the solution set is (3,1)
Plugging those into each of the possible choices, we find that the answer is
B) 5x+15y=30. 5(3)+15(1)=30 15+15=30. 30=30 CHECK
5x-5y=10 5(3)-5(1)=10. 15-5=10. 10=10. CHECK
Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in degrees. (Enter your answers as a comma-separated list.) −420°
Answer:
- 420° = -7/3 π ≈ - 2.333 π
Step-by-step explanation:
- 420° = -7/3 π ≈ - 2.333 π
Coterminal angle in [0, 360°) range:
300°, located in the fourth quadrant.
Positive coterminal angles: 300°, 660°, 1020°, 1380°, 1740°...
Negative coterminal angles: -60°, -420°, -780°, -1140°
I hope this helps!1!!
-420° = -360° - 80° = -80°
-80° = 360° - 80° = 280°
Co terminal angle = 280° and -80°
You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250+ 201. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 1 2 4 5 6 3. 2. Question Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the graph? Explain. 400 Altitude # of minutes ( in feet) 350 300 1 250 1.5 200 150 3 100 4 50 5 1 3 4 5 (d) After 5 minutes, you turn the burner to low. This gives just enough heat to keep the balloon from falling but not enough to make it rise any higher. Plot a point on the graph to show how high the balloon is after 6 minutes. (e) Does it make sense to connect the point plotted in part (d) to the rest of the graph? Explain. (f) What is the domain of the function? (g) What is the range of the function? Transcribed Image Text:Name: Date: Page 5 of 6 7. You are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function h = 250 + 20t. (a) Make a table to show the altitude as a function of the number of minutes you have traveled. (b) Graph your data points-make sure to label the units on your axes. (c) Does it make sense to connect the points on the g
Yes, when we connect the points, we get straight line.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, you are at an altitude of 250 feet in a hot-air balloon. You turn the burner on high and rise at a rate of 20 feet per minute for 5 minutes.
Your altitude h after you have risen for t minutes is given by the function h = 250+ 20t.
a) Make a table to show the altitude as a function of the number of minutes you have traveled.
t h
0 250
1 270
2 290
3 310
b) Graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
c) Yes, when we connect the points, we get straight line.
Hence, graph the points, (0, 250), (1, 270), (2, 290) and (3, 310).
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What is the equation of this graph in slope intercept form
The slope-intercept form of the two straight lines in the graph of the question are;
y = 4y = 3What is the slope-intercept form of the equation of a straight line?The slope-intercept form of the equation of a straight line is; y = m·x + c
Where;
m = The slope of the line
c = The y-intercept of the line
The values of the ordered pair of the points on the line are in the form (x, y)
The graph consists of two straight lines, therefore the equations that represent the graphs are found as follows;
Points on the blue line graph are (0, 4), (2, 4), and (4, 4)
The slope of the blue line graph is therefore;
m = (4 - 4)/(2 - 0) = 0
The y-intercept of the blue line graph is; c = 4
The slope-intercept form of the equation representing the blue line graph is therefore;
y = 0 × x + 4
y = 4The slope-intercept form of the equation of the blue line graph is; y = 4
Points on the red line graph are; (0, 3), (2, 3), (4, 3)
The sloped of the red line graph is therefore; m = (3 - 3)/(2 - 0) = 0
The y-intercept of the red line graph is; c = 3
The slope-intercept form of the equation of the red line graph is therefore; y = 0 × x + 3
y = 3
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If 3a + 1 - a = 9 then what does 5a + 2 = ?
Answer:
[tex]3a + 1 - a = 9 \\ 2a = 8 \\ a = 4 \\ 5a + 2 = \\ 5(4) + 2 = 22[/tex]
first find the value of a, which is 4
then substitute a with 4
Which student had the highest average (mean) score?
Math Tost Scores for Five Students
Score on Math Score on Math
Student
A. 1
B. 2
C. 3
D. 4
E. 5
hello i need help with questions 5 please thank you.
5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.
5b) Through the lease, the customer saves $14,760.
5c) The lease options for the lessee after returning the car include:
Lease buyoutLease extensionNew lease contractBuying out the vehicle and then reselling it.6a) The after-tax cost of the Honda Civic is $32,199.35.
6b) The value of the vehicle that needs to be financed is $26,199.35.
6c) The monthly payment will be $567.26 for 4 years.
6d) After four years, the total amount paid for the vehicle is $33,228.48.
Financing Options:A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.
A car purchase can also be financed through loans, like home mortgages.
Value of the car = $32,000
Harmonized Sales Tax (HST) = 13%
Cost of the car with HST = $36,160 ($32,000 x 1.13)
Lease Arrangement:Down payment = $1,000
Financing part = $35,160 ($36,160 - $1,000)
Installment payments = 48
Periodic payments = $425
Total lease cost = $21,400 ($1,000 + 48 x $425)
Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)
Jordan's Car:The value of the Honda Civic = $28,495
Harmonized Sales Tax (HST) = 13%
After-tax cost = $32,199.35 ($28,495 x 1.13)
Annual interest rate = 1.9% compounded monthly
Down payment = $6,000
Financing part = $26,199.35 ($32,199.35 -$6,000)
Financing period = 4 years
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 1.9%
PV (Present Value) = $26,199.35
FV (Future Value) = $0
P/Y (# of periods per year) = 12
C/Y (# of times interest compound per year) = 12
Results:
Monthly Payments (PMT) = $567.26
Sum of all periodic payments = $27,228.48
Total Interest $1,029.13
Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)
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evaluate 5² + 7 - 3 +4
The value of the numerical expression 5² + 7 - 3 + 4 will be 33.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 5² + 7 - 3 + 4
Simplify the expression, then we have
⇒ 5² + 7 - 3 + 4
⇒ 25 + 7 - 3 + 4
⇒ 36 - 3
⇒ 33
The value of the numerical expression 5² + 7 - 3 + 4 will be 33.
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Help me out please!
No links please I’ll report you
Show work!
I’ll give brainiest
Armando graphed the relationship between temperature and elevation for several cities. The x-coordinate is the elevation in meters and the the y-coordinate is the temperature in °C.
which cordanate would contain the point showing a city 3m below sea level 6°C below zero?
A.Quarant I
B.Quarant II
C.Quarant III
D.Quadrant IV
what is 16 1/2 as a decimal and fraction?
Answer:
16 1/2 as a decimal is 16.5.
We convert it to an improper fraction which, in this case, is 33/2 and then we divide the new numerator (33) by the denominator to get our answer.
Answer:
16.5% and 16.5
Step-by-step explanation:
Seat belt use in WA state (pop: 7.5 million) is reported to be 95% compared to 85% in Mississippi (pop 3 million). A random sample of 1,000 residents is taken from each state. Since we are sampling a higher proportion of the population of Mississippi, the % of seatbelt users in the Mississippi sample will likely be closer to the population proportion. Be sure to state true or false clearly first. Then explain which sample (WA or MI) is more likely to be closer to its population proportion and why?
Answer:
True
Step-by-step explanation:
By sampling a larger proportion of Mississippi's population, the percentage of people who wear seatbelts in Mississippi surveys would be closer and nearer to the population proportion.
The rule of large numbers states that if we collect samples of increasing size from every population (here, Mississippi vs. Washington WA state), the sampling distribution's mean, px, continues to get closer and nearer to the actual true population proportion (p).
Recall that as n becomes greater, the sample mean obeys a normal distribution because of the Central Limit Theorem. However, as (n) rises, the sampling distribution's standard deviation reduces.
where:
sampling proportion's standard deviation = [tex]\sqrt{\dfrac{p((1-p)}{n}}[/tex]
If n rises, the sample proportion [tex]P_x[/tex] have to get nearer to the population proportion P.
For both counties, the sample size is 1000, but the true population varies. According to the provided statement, the true population of Mississippi (3 million) is less than that of Washington State (7.5 Million). As a result, we can confidently assume that our sampling proportion in Mississippi seems to be much closer to the true actual population than our sampling proportion in Washington state.
Find the area of the trapezoid
Answer:
I think that the answer is 3495.24in
A lab technician mixes a 10% acid solution with a 50% acid solution to create 40 ml of a 40%
solution. How much of each solution must be used?
Answer:
10 ml of 10%
30 ml of 50%
Step-by-step explanation:
x = amount of 10%
40 - x = amount of 50%
-------------------------------------
10x + 50(40 - x) = 40(40)
10x + 2000 - 50x = 1600
-40x + 2000 = 1600
-40x = -400
x = 10 ml of 10%
40 - x = 30 ml of 50%
1. The radius of a circle is
A. 7 m
B. 5 m
C. 12.6 m
D. 8 m
2. The area of triangle is
A.78.5 m²
B. 7.85 m²
C. 785 m²
D. 87.5 m²
3. The area of a triangle is
A. 88.2 m² B.
52.7 m2
C. 44.1 m²
D. 8.82 m²
4. To compute for the area of the shaded region we
A. add both areas
B. subtract both areas
C. multiply both areas
D. divide both areas
5. What is the area of the shaded region?
A 34.4 m²
B. 56.8 m²
C. 97.2 m²
D.122.6 m²
the shape is in the picture T - T
Answer:
1. The radius of a circle is 5 m
Option B
2. The area of circle is
A = 3.14*5² = 78.5 m²Option A
3. The area of a triangle is
A = 1/2*12.6*7 = 44.1Option C
4. To compute for the area of the shaded region we
B. subtract both areas
5. What is the area of the shaded region?
78.5 - 44.1 = 34.4 m²Option A