Answer:
1. 72.33.24. none5.none6.97. 08. 4
Step-by-step explanation:
HELPPPPPP: Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hrs at $3.75 an hour. He us now working at a job which pays $4.00 an hour. How many hours does he need to work in order to earn the money that he needs?
Answer:
7 hours
Step-by-step explanation:
He already worked 4 hrs at $3.75 an hour.
Meaning he has already accumulated 15 dollars. (4 * 3.75)
$40 - $15 = $25
So if he needs $25 and he makes $4 dollars an hour:
25/4 = 6.25
He needs to work at least 7 full hours to receive 25 dollars to add with the already earned 15 dollars to total 40 dollars.
Answer: 6.25 hours
Step-by-step explanation:
Step 1: find how much he earned from the odd job
3.75 per hour for 4 hours= 3.75x4= $15
Step 2: Write an inequality
4x+15≥40
Breaking it down:
'4x' means $4 per hour for an unknown number of hours, or just "a number of hours". The reason why you put the x next to the number is because to find the total amount of money he made from that job, you'll have to multiply 4 by however many hours he worked.
15 stands for the amount of money he has right now. He finished the job that paid 3.75 an hour, so don't put an x next to the 15.
40 is the amount of money he needs.
the ≥ sign means "greater than or equal to". In other words, to be able to buy the gift, he needs 40 or more dollars. The line underneath means "greater/less than or equal to". Also, the reason why I didn't put the normal greater sign that looks like >, is beacause that would be saying he needs MORE than 40 dollars to buy the gift, which is not a true statment.
Step 2: Solve the inequality
Solving an inequality is no different from solving an algebra equation. You just ignore the ≥ sign.
4x+15≥40
#1: Always do the inverse operation on the left side number first, never the x term. In other words, always start with addition or subtraction:
See how there is a +15. do the operate equation by subtracting 15 from both sides.
4x+15-15 ≥ 40-15
4x≥25
Now divide both sides by 4. This is because 4x stands for "4 multiplied by x" and the opposite of multiplication is division.
4x/4 ≥ 25/4
x≥6.25
Step 4: Checks
Substitute x for 6.25, but write it as en equation.
4x+15=40
4x6.25 +15 = 40
25+15= 40
40=40
Correct ✅
Answer= He needs to work 6.25, or 6 1/4, or 6 hours and 25 minutes, in order to have enough money for the gift.
8.3.5 Ana's monthly salary was $2000 in May. In June, she received a 20% raise. In July, she received a 20% pay cut. After the two changes in June and July, what was Ana's monthly salary?
Answer:
After July, Ana's monthly salary was $1920
Step-by-step explanation:
In May, Ana's monthly salary was $2000. During the next month, the salary increased by 20%, or (0.2)(2000)
[tex]2000+(0.2)(2000)=2000+400=2400[/tex]
So, in June, Ana's monthly salary was $2400. During the next month, the salary decreased by 20%, or (0.2)(2000)
[tex]2400-(0.2)(2400)=2400-480=1920[/tex]
Therefore, after the two changes, Ana's monthly salary was $1920
Answer:
Now Ana's monthly salary is 1920$.
Step-by-step explanation:
Given: Ana's salary in may =2000$
in June she received 20% raise
in July she received 20% pay cut.
To find Ana's monthly salary after the two changes in June and July.
we have to first find Ana's salary at the end of June month with 20% raise. and then her salary after the end of July month with the pay cut of 20%.
Step 1 of 2
Ana's salary after June month when she got 20% raise in his salary after May is equal to
[tex]=2000+(20 \% \cdot 2000)$\\ $=2000+\left(\frac{20}{100} \cdot 2000\right)$\\ $=2400 \$$[/tex]
her new salary after May will be 2400$.
Step 2 of 2
now she got a pay cut of 20% on his new salary from July month
so, her salary after that would be equal to
[tex]=2400-(20 \% \cdot 2400)$\\ $=2400-\left(\frac{20}{100} \cdot 2400\right)$\\ $=2400-480$\\ $=1920 \$$[/tex]
A urn contains 3 red and 5 black balls. Tom first withdraws a ball from the urn and Mary withdraws a ball from the urn without replacement. They keep withdrawing a ball alternately until a red ball is selected. Find the probability that Tom selects the red ball.
a) 3/8
b) 15/64
c) 31/56
d) 48/64
e) 34/56
Answer:
The answer is B
Step-by-step explanation:
I learned this from my math teacher
(Edge.)
Which number line shows the graph of Negative 2.75 less-than x?
A. A number line going from negative 3 to positive 3. An open circle is at negative 2.75. Everything to the left of the circle is shaded.
B. A number line going from negative 3 to positive 3. An open circle is at negative 2.75. Everything to the right of the circle is shaded.
C. A number line going from negative 3 to positive 3. A closed circle is at negative 2.75. Everything to the left of the circle is shaded.
D. A number line going from negative 3 to positive 3. A closed circle is at negative 2.75. Everything to the right of the circle is shaded.
Answer:
D
Step-by-step explanation:
39. ELECTIONS In an election, the winning candidate receives 60% of the votes. What percent of the votes does the other candidate receive?
Answer:
40%
Step-by-step explanation:
using our lovely knowledge of percents (or per 100s) we can see that 100-60 is 40, which means only 40% of the votes go to the losing candidate
A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?
Answer:
609
Step-by-step explanation:
All you must do is multiply 1450 by 0.42. That would give you the total.
Answer:
Hello! The answer to your question is 609 seats.
Step-by-step explanation:
To obtain your answer, you have to multiply the percentage of balcony seats by the total number of seats. 42% is converted to 0.42 because 42/100 = 0.42:
0.42 × 1450 = 609 seats
Christina wants to buy some miniature goldfish. She reads that a 9-gallon aquarium is the
right size for 3 miniature goldfish. The graph represents this relationship.
Which points show equivalent ratios that would also be on the graph? Select all that apply.
A. (6,18)
B. (6,12)
C. (4,10)
D. (1,3)
Answer:
A & D
Step-by-step explanation:
If you can fit 3 fish in a 9 gallon tank, that means as a point on a line, that would be at (3, 9).
If you write this as a fraction it's 3/9. Simplifying that, you get 1/3. That means 1 fish needs 3 gallons. If you make hat a point on the line, it's (1,3).
Another equivalent fraction would be 6/18. If you multiply the numerator and denominator by 2, 3/9 becomes 6/18.
B & C are not equivalent fractions.
7.26. Ben leaves his house at 7 a.m. and bikes at a constant speed of 15 miles per hour due east. Alisha lives 100 miles due east of Ben, leaves her house at 8 a.m., and bikes at a constant speed of 10 miles per hour due west. At what time do they meet?
Answer:
Ben and Alisha will meet at 11:40 a.m.
Step-by-step explanation:
Given: The time at which Ben leaves his house is 7a.m. and the constant speed at which he biked due east is 15mi/hr.
The time at which Alisha leaves her house is 8a.m. and the constant speed at which she biked due west is 10mi/hr.
The distance at which Alisha lives due east of Ben is [tex]$100 \mathrm{mi}$[/tex].
To find: The time at which they meet.
a. Analyze the given data.
b. Define a variable.
c. Form an equation.
d. Solve for the unknown variable.
e. Use addition, subtraction, multiplication, or division properties.
f. Find the required time.
Step 1 of 5
Let t represent the time (in hours) from 12a.m.
We can also assume the houses as being on the number line, where Ben's house is at 0 and Alisha's house is at 100 .
Ben starts biking at 7 a.m. and he moves right (along our imaginary number line) at 15 miles per hour.
So his position at a time t is 15(t-7).
Alisha starts biking at 8a.m. and she moves left at 10 miles per hour.
So her position at a time t is 100-10(t-8).
Step 2 of 5
Ben and Alisha will meet when their positions are equal. Thus equating both the equations, we get
15(t-7)=100-10(t-8)
Using the distributive property,
15t-105=100-10t+80
Step 3 of 5
By the addition and subtraction properties,
We get,
[tex]$$\begin{gathered}15 t+10 t=80+105 \\\Rightarrow 25 t=285\end{gathered}$$[/tex]
Step 4 of 5
By the multiplication and division properties,
[tex]$$\begin{aligned}t &=\frac{285}{25} \\\Rightarrow t &=11.4 \mathrm{~h}\end{aligned}$$[/tex]
Step 5 of 5
Converting the decimal into minutes,
[tex]$0.4 \times 60=24.0 \mathrm{~min}$[/tex]
Thus the required time is 11:24a.m.
please help asap!!! theres multiple answers
Answer: 3rd, 4th, and 5th are correct.
Step-by-step explanation:
We know that the equation 6(t+2) can be simplified to 6*t+6*2, also 6t+12. This causes any statements saying a variable with a certain value applies to one side also applies to the other.
Answer:
- The value of both expressions when t = 3 is 30
- The value of both expressions when t = 7 is 54
- The expressions are equivalent
Step-by-step explanation:
Plug in each value of t into the expressions:
6t + 12, when t = 3 equals 30
6t + 12, when t = 7 equals 54
6(t + 2), when t = 3 equals 30
6(t + 2), when t = 7 equals 54
We have the same answers for both expressions, meaning they are equivalent.
2 ACTIVITY: Estimating a Percents
Work with a partner. Use a model to estimate the answer to each question. d. 50 is what percent of 80?
Answer:
62.5%
Step-by-step explanation:
since percents are just fractions, we have 5/8 and we need to convert it into a percentage. since 100 is not divisible by 8, we can use a trick by multiplying the numerator by 100. we get 500/8 which is 62.5.
HELP: Of 580 students in a high school graduating class 45% are planning to go to college. How many of the graduates are planning to go to college?
Answer:
261 of the graduates are planning to go to college.
Step-by-step explanation:
This is a proportion question.
x 45
___ = ___
580 100
First do 45 x 580 = 26,100
Then divide by 100 to get 261.
Please help will mark brainliest 25 pts.
Answer:
1. r = C/2π
2. A = π(C/2π)^2
Step-by-step explanation:
1. C = 2πr^2
C/2π = 2πr/2π
C/2π = r
r = C/2π
2. A = π(C/2π)^2
3. Look at screenshot
Answer:
C^2 = 4πA
Step-by-step explanation:
The first part asks us to isolate r in the equation C = 2πr. We can do that by dividing both sides by C: [tex]r=\frac{C}{2\pi }[/tex]. Note that C stands for the circumference of a circle.
The second step is to plug this value of r into the formula for the area of a circle. We know that the area of a circle is πr^2. We are given π and the exponent, so we just need to plug in [tex]\frac{C}{2\pi }[/tex] and we end up getting [tex]A=\pi (\frac{C}{2\pi })^{2}[/tex]
The third step is to square the term in the parentheses. Whenever we have to square a fraction, all we have to do is square the numerator and the denominator:
[tex](\frac{C}{2\pi })^2=\frac{C^2}{(2\pi )^2}=\frac{C^2}{2^2\pi ^2}[/tex]
In other words,
[tex]A=\pi *\frac{C^2}{2^2\pi ^2}[/tex]
For the fourth step, 2^2 can be evaluated to get 4. We end up getting the following if we do this:
[tex]A=\frac{\pi}{4 } *\frac{C^2}{\pi^2}[/tex]
For the fifth step, we can simplify because the π in the numerator of the first fraction and the π^2 in the denominator of the second fraction cancel (π^2 / π leaves π in the denominator and a 1 in the numerator). If we perform this cancellation, we get the following fraction:
[tex]A=\frac{C^2}{4*\pi}[/tex]
For the final step, we can isolate C^2 by multiply both sides by 4π. Then, we get that C^2 = 4πA
In other words, the circumference of the circle squared is equal to 4π times the area of the circle
11. Find the equivalent measure.
4.009 kg = ___________ kg __________ g
Answer:
Step-by-step explanation:
4.009kg × 1000 = 4009g
write the letter of the correct choice in the blank
I got stuck, I need your help and please answer all 4 ques.
thank u
jill bikes for 1/5 of an hour at 16 mph and then walks for 3/7 hour at 5 miles per hour how much farther did she bike then walk
Ans: 1.1 miles more
Speed = distance/time
Time is 1/5 of an hour
1/5 of 1hr = 1/5 or 0.2 hrs
Speed = 16 mph
So, we're after distance.
Distance = speed x time
= 16mph x 0.2
= 3.2 miles
Walks for 3/7 hour at 5 miles per hour :
Time & speed given, distance is what we're after.
(3/7 of 1hr is 3/7)
Distance = speed x time
= 5mph x 3/7
= 15/7 miles or 2.14285...miles
So, distance is about 2.1 miles to 1 d.p
Thus, 3.2 - 2.142... (the full ans) = 1.057... miles
Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.
Hope this helps!
x+10=1/3(5x+10)
How do you solve this equation?
Answer:
x = 10
Step-by-step explanation:
First, subtract 10 from both sides
Next, Simplify
Then, subtract 5/3x from both sides
After, simplify
Lastly, multiply both sides by 3
Then finally simplify for your final answer of x = 10
Hope this helps! :)
Answer:
x = 10
Step-by-step explanation:
x + 10 = 1/3(5x + 10)
x + 10 = 5/3x + 10/3
3x + 30 = 5x + 10
20 = 2x
10 = x
Please help!!! I’m not sure how to do this at all. Can someone please help me solve this with an explanation step by step? I’m having so much trouble my brain is literally gonna explode.
Answer:
Step-by-step explanation:
The question asks you to dilate the rectangle by a scale factor of 1/3.
KEY TERM:
Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.
Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.
___
STEP 1: LINE UP ALL THE COORDINATE PAIRS
Point U: (-6,6)
Point R: (-6,-3)
Point T: (9,6)
Point S: (9,-3)
Now the easy part is done.
STEP 2: MULTIPLY BY 1/3
It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.
I'll explain for point u then do the rest:
Point U was originally: -6,6.
-6 x 1/3= -6/3= -2.
6x1/3= 6/3= 2
The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.
Point R was originally: (-6,-3)
-6x1/3= -2
-3x1/3= -3/3= -1
The "dilated" point R is (-2,-1)
Point T was originally: (9,6)
9x1/3= 3
6x1/3= 2
The "dilated" point T is (3,2).
Point S was originally (9,-3).
9x1/3= 3
-3x1/3= -1
The "dilated' point S is (3,-1)
Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.
STEP 3: GRAPH THE NEW POINTS
see the screenshot, for reference :)
Answer:
Step-by-step explanation:
you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.
13. Find the equivalent measure.
6.4 km = ________km ________m
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above1.8[/tex]
To turn kilometers, km, into meters, m, multiply the number
of km by 1,000. This comes out as.
[tex]\boldsymbol{\sf{6.4\times1,000=6,400\:Metres}}[/tex]
To convert meters, m, into kilometers, km, divide the number
of m by 1,000. This comes out as
[tex]\boldsymbol{\sf{6,400\div1,000=6.4\:Kilometres}}[/tex]
#learnwithbrainly
[tex]\orange\hspace{300pt}\above2[/tex]
HELP? - MEAN, MEDIAN, AND MODE!!
The Bryants are moving to a new town and want to know about how much it will cost them to buy a house. The prices of five homes sold last week in the town were $125,500, $130,000, $132,500, $135,000, and $350,000. Which of these prices best represents the typical price of a home in this town?
A.the mode of the prices
B.the median price
C.the mean price
D.the average of the lowest and highest prices
i really think its B. but when i searched up the question, people said it was D.?
Circle the correct option: A, B, C, or D.
5. A box containing 30 identical books has a mass of 8.6 kg. The same box containing 50 of these books has a mass of 13.1 kg. What is the mass of each book?
A 0.225 kg
B 2.25 kg
C 4.5 kg
D 0.025 kg
Answer:
Option AStep-by-step explanation:
So we have: 30 books having a mass of 8.6kg50 books having a mass of 13.1kgSubtract 30 from 50 (50 - 30) = 20Subtract 8.6 From 13.1 (13.1 -8.5) = 4.5To find the mass of each book, we divide the mass by how many books we have left after subtraction.4.5/20 = 0.225 kgHope this helps.Good luck ✅.
HELP ME PLEASE AND GET 15 POINTS!!
MAKE SURE TO ANSWER ALL 7 QUESTIONS
Tysm
Identify the days when the temperature was 76°F or more.
Answer: Tuesday, Thursday, and Saturday
Step-by-step explanation:
Pretty self-explanatory.
Find the area of the shaded region.
Answer:
[tex]18 ft^2[/tex]
Step-by-step explanation:
You could calculate the area of the trapezoid and then subtract the area of the triangle.
Area of a trapezoid:
[tex]A = \frac{a+b}{2}h[/tex]
Plug values in:
[tex]A = \frac{6+12}{2}(6)[/tex]
Add 6 and 12:
[tex]A = \frac{18}{2}(6)[/tex]
Simplify:
[tex]A = 54[/tex]
Area of a triangle:
[tex]A = \frac{1}{2}bh[/tex]
Plug values in:
[tex]A = \frac{1}{2}(6)(12)[/tex]
Simplify:
A = 36
Subtract the area of the triangle from the area of the trapezoid
54 - 36 = 18
You could also calculate the area of the shaded region by assuming that they're congruent meaning the base would be half of 6 which is 3 and the height would be 6 so the area of one would be 1/2 (6)(3) but since they're is 2 you wouldn't need the 1/2 since multiplying by 2 would cancel it out so the area would be (6)(3) = 18
I DO REALLY NEED HELP: An architect is planning a city parking lot. For every 12 commuters, the parking lot will need 5 parking spaces. How many parking spaces will be needed by 132 commuters?
Answer:
55 parking spaces
Step-by-step explanation:
Using unitary method:
For every 12 commuters , 5 spaces are needed.
∴ For 1 commuter:
5 ÷ 12 ⇒ [tex]\frac{5}{12}[/tex] spaces are needed.
∴ For 132 commuters ⇒ [tex]\frac{5}{12}[/tex] × 132 = 55 spaces.
3/4x+0.25(x-6)+28.4
I can't figure it out
[tex]\boldsymbol{\dfrac{3}{4}x+0.25(x-6)+28.4 }[/tex]
Use the distributive property to multiply 0.25 by x−6.
[tex]\boldsymbol{\dfrac{3}{4}x+0.25x-1.5+28.4 }[/tex]
combine [tex]\bf{\frac{3}{4}x }[/tex] and 0.25x to get x.
[tex]\boldsymbol{x-1.5+28.4}[/tex]
Add −1.5 and 28.4 to get 26.9.
[tex]\boxed{\boldsymbol{x+26.9}} \ \ \to \ \ \bf{Answer}[/tex]
{ Pisces04 }4. IN YOUR OWN WORDS How can you order numbers that are written as fractions, decimals, and percents? Give an example with your answer.
Answer:
Step-by-step explanation:I would make them make all of them into a decimal or fraction that's how I do it like this 5/2 .45 27.5%
make them into a decimal this time because it looks easy so 5/2 into a decimal will be 2.5. and then 0.45 27.5% into a decimal will be will be 0.275
boom order it 2.5, 0.45, 0.275
8.35 A shopper buys a $100 coat on sale for 20% off. An additional $5 is taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price. What is the total amount the shopper pays for the coat?
Answer:
Given:
A shopper buys a $100 coat on sale for 20% off. An additional $5 is taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price.To find:
The total amount the shopper pays for the coat.The formula used to calculate percentage is:(value/total value)*100%.
Step-by-step explanation:
Step 1 of 2
After the 20% sale, the coat costs
100*0.8 = 80 dollars.
Then 5 dollars are taken off for a cost of
80-5 = 75
Step 2 of 2
Now adding on the sales tax,
the final amount is 75(0.8) = 81 dollars
1. WHAT IF? Each value in the dot plot for Candidate A increases by 30 seconds. How does this affect the answers in Example 1? Explain. You do not need to have all the data from two populations to make comparisons. You can use random samples to make comparisons.
Answer:
https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/a/sampling-distribution-sample-proportion-example
Step-by-step explanation:
Click there and it will tell you
2 ACTIVITY: Estimating a Whole
Work with a partner. Use a model to estimate the answer to each question.
b. 13 is 25% of what number?
Answer: 52
Step-by-step explanation:
We know that 25 percent is one-fourth, so whatever number divided by 4 equals 13. To do this, we can just multiply 13 by 4 to get our answer, 52.
help 30 points added