Answer:
287.64
Step-by-step explanation:
Answer:287.6
Step-by-step explanation:
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answer:
time taken = 850/(8+7) =56.6 second
Answer:
The answer is: 56 2/3
Step-by-step explanation:
First add up the amount of feet they run all together every second. 8+7=15 feet/second. You have to find the total amount of seconds for them to meet so you divide. 850 divided 15 equals 56 2/3 seconds. That's your answer.
How do you solve this question? With a step by step explanation please!
[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]
First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).
2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]
2 + 3 = [tex]\frac{1}{4}[/tex]x
[tex]\frac{1}{4} x = 5[/tex]
Now, we will multiply both sides by 4, so as to find x.
[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4
x = 20
Therefore, x = 20.
The slope of a line is 2. The y-intercept of the line is -6 Which statements accurately describe how to graph the function?
Locate the ordered pair (0-6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Draw a line through the two points.
Locate the ordered pair (0-6). From that point on the graph, move up 2left 1 to locate the next ordered pair on the line
Draw a line through the two points.
Locate the ordered pair (-60). From that point on the graph, move up 2, right 2 to locate the next ordered pair on the line.
Draw a line through the nivo points.
Locate the ordered pair (-60). From that point on the graph, move up 2. left 1 to locate the next ordered pair on the line.
Draw a line through the two points,
Mark this and retum
Save and Exit
Subemt
Answer: A
Step-by-step explanation:
We know the y intercept is -6 so the first point will be (0,-6) and we also know that the slope is 2/1 so after plotting (0.-6) you will have to go up by two and 1 unit to the right.
Answer:
The answer is A!
Step-by-step explanation:
I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)
What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
X= 15
b.
X= 5
X=0
dx = 4
Answer: A
Step-by-step explanation:
Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.
Find the solution to the system of equations.
You can use the interactive graph below to find the solution
(–2x+2y =–4
( 3x + 3y = -18
X =
y=
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is [tex]2[32-(4-1)][/tex]
First, simplify the bracket [tex](4-1)[/tex]
Then, [tex]2[32-(4-1)]=2[32-3][/tex]
Simplify the bracket [tex][32-3][/tex]
Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]
Multiply the numbers [tex]2[/tex] and [tex]29[/tex]
[tex]2[/tex] × [tex]29=58[/tex]
Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].
Learn more about simplification here-https://brainly.com/question/17579585
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If the ratio StartFraction negative 294 Over x plus 10 EndFraction is equivalent to 21, find the value of x. Use pencil and paper. Write another pair of equivalent ratios like these. Show how to find the value of x.
Answer:
(1)x=-24
(2)Another pair of equivalent ratio is:
[tex]\dfrac{-64}{x+5}=8$ where $x=-13[/tex]
Step-by-step explanation:
Given the ratio:
[tex]\dfrac{-294}{x+10}=21[/tex]
Part 1: We determine the value of x.
[tex]\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24[/tex]
Part 2: We write another pair of equivalent ratios.
Let
[tex]\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13[/tex]
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
Learn more about simple & compound interest here:
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Answer:
D.
$2,071.20
Step-by-step explanation:
What is the vertex of f(x)=x+8-3
Answer:
The absolute value vertex is
( − 8 , − 3 ) .
Step-by-step explanation:
Ellen is opening. Cookie shop eat a local middle school . She randomly surgery's students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below
Answer:
The only statement that is NOT true is option A.
- If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
Step-by-step explanation:
Complete Question
Ellen is opening. Cookie shop eat a local middle school . She randomly surgery’s students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below based on the survey. Which statement is not true?
Cookie Survey
Type of Cookie | Number of Students
Chocolate Chip | 25
Oatmeal Raisins | 15
Peanut Butter | 22
Sugar | 18
A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
B) 22½% of the students surveyed would buy a sugar cookie.
C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.
D) Half of the students prefer chocolate chips or oatmeal raisin cookies.
Solution
First of, we obtain the proportion or percentages of students surveyed that buy each type of cookie.
Each of that is the number of students that buy the type of cookie in the sample divided by the Total number of students sampled.
Total number of students sampled = 25 + 15 + 22 + 18 = 80
Type of Cookie | N | proportion | %
Chocolate Chip | 25 | 0.3125 | 31.25%
Oatmeal Raisins | 15 | 0.1875 | 18.75%
Peanut Butter | 22 | 0.2750 | 27.50%
Sugar | 18 | 0.2250 | 22.50%
Now, taking the statements one by one
A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
Proportion of students that buy sugar cookie in the sample = 0.225
Number of students that will buy sugar cookie amongst 160 students = np = 160 × 0.225 = 36 students.
This statement is false, that is, NOT true.
B) 22½% of the students surveyed would buy a sugar cookie.
From the table, 22.5% of the students surveyed bought a sugar cookie. Hence, no matter the number of students, the percentage of students that will buy a sugar cookie will approximately be 22.5%.
This statement is True.
C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.
Proportion of students that buy peanut butter cookie in the sample = 0.275
Number of students that will buy peanut butter cookie amongst 240 students = np = 240 × 0.275 = 66 students.
This statement is true.
D) Half of the students prefer chocolate chips or oatmeal raisin cookies.
Proportion of students that buy chocolate chips or oatmeal raisin cookies in the sample = 0.3125 + 0.1875 = 0.50
0.50 is half of the distribution.
Hence, this statement too, is True.
Hope this Helps!!!
The length between 20 and 29
The length between is the number 9 , just add 29 to 20 which is just 9 more numbers
Cesar and Jocelyn are planning their trips to three countries next year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.
Answer:
They need five weeks to make all their travels.
Step-by-step explanation:
Given that Cesar and Jocelyn are planning their trips to three countries next year.
One trip will be one week long, another two days, and the other two weeks.
In conclusion, they need five weeks to make this travel.
A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.
Answer:
50.24inches
Step-by-step explanation:
Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)
Carlos keeps track of his math scores of tests. His scores on his math tests are
the following: 100, 88, 50, 50, 90, 70, 80 What is the:
Median?
Mode?
Mean?
Range?
Answer:
Median: 75
Mode: 50
Mean: ≈ 75.4
Range: 50
Step-by-step explanation:
Median:Arrange the numbers in order:
50, 50, 70, 80, 88, 90, 100
There is no exact middle number.
[tex]70 + 80 = 150\\150/2 = 75[/tex]
The median is about 75.
Mode:50, 50, 70, 80, 88, 90, 100
"50" appears the most.
The mode is 50.
Mean:Add all numbers in the set.
[tex]100+88+50+50+90+70+80 = 528[/tex]
Divide by the number of values in the set.
[tex]528/7 = 75.4285714286[/tex]
75.4285714286 ≈ 75.4
The mean is about 75.4.
Range:Subtract the smallest number in the data set from the largest number in the data set.
[tex]100-50=50[/tex]
The range is 50.
Brainilest appreciated.
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
3) Factor x2 – 8x – 9.
Check
Answer:
(x-9)(x+1)
Step-by-step explanation:
factor using the box method or quadratic formula.
Answer:
(x - 9)(x + 1)
Step-by-step explanation:
Given
x² - 8x - 9
Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)
The factors are - 9 and + 1, since
- 9 × 1 = - 9 and - 9 + 1 = - 8, thus
x² - 8x - 9 = (x - 9)(x + 1)
The radius of a circle is 5 m. Find its area in terms of .
Answer:
78.5 m²
Step-by-step explanation:
Area formula: πr²
Plug it in: (3.14)(5m)²
Answer: 78.5 m²
An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?
Answer:
Around 11:15 am
Step-by-step explanation:
Let h represents the number of hours the plumber works
Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:
→ bill = 65 + 75h
Since the bill is $195.25
→ 195.25 = 65 + 75h
→ 75h = 130.25
→ h = 1.74
1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.
Hi so i am writing a movie but i need ideas
The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?
Hey there! I'm happy to help!
-------------------------------------------------------------------
WHAT IS THE PERIMETER?
The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.
-------------------------------------------------------------------
WHAT IS AN ISOSCELES TRIANGLE?
An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!
-------------------------------------------------------------------
THE SOLUTION
In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.
The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.
Therefore, the perimeter of this isosceles triangle is 2a+c.
-------------------------------------------------------------------
I hope that this helps! Have a wonderful day! :D
Help me please I think you have to find the area
Answer:
I got B) ; 54m2
Step-by-step explanation:
the above diagram is a trapezium.
the area is gotten by; 1/2 (a+b)h
a = shortest side.
b = the longer side that is directly opposite to (a).
h = height.
1/2(3 + 9)9
1/2 by 12 by 9
to get 54
Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9
Answer:
-6 and 2
Step-by-step explanation:
In this equation what is the
Answer:
multiplication i think? correct me if im wrong:)
Step-by-step explanation:
bye.
The answer is [ C. Multiply ]
The inverse operation of division is multiplication and vice versa.
The inverse operation of subtraction is addition and vice versa.
Solve for x.
x/6.8 = 5
~Multiply 6.8 to both sides
x/6.8 * 6.8 = 5 * 6.8
~Simplify
x = 34
Best of Luck!
Helppppppppppppppppppppppp
Answer:
9
Explanation: the answer is 9 because 15 is 3 times 5 so you would have to multiply 3 by 3 to mark it to scale.
someone help? 25 points
Answer:
A- isosceles
B- equilateral
C- scalene
Answer:
Triangle A
Isosceles
Triangle B
Equilateral
Triangle C
Scalene
Hope this helped
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
180/9 x 10^-5
IN SCIENTIFIC NOTATION
Answer:
2*10^-4
Step-by-step explanation:
Answer:
2.0x10^6
Step-by-step explanation:
First, let's change the number in the numerator into scientific notation.
180/ 9.0x 10^-5 = 1.80x10^2/ 9.0x10^-5
Start by collecting the significance and exponents.
1.80X10^2/ 9.0x10^-5 = 1.80/ 9.0x 10^2/10^-5
Then divide each term separately. When dividing exponents with the same base, subtract their power.
=0.20x10^2-(-5) =0.20x 10^7
To write the answer correctly in scientific notation, the first number needs to be between 1 and 10. In this case, we need to move the decimal one position to the right without changing the value of our answer.
We can use the fact that 0.20 is the same as 2.0/10, or 2.0x 10^-1
=2.0x10^-1x 10^7
=2.0x 10^-1+7
=2.0x 10^6
Picture attachment below
Answer:
$4.50 for 9 cans
Step-by-step explanation:
Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar.
Answer:
$6769
Step-by-step explanation:
To calculate the amount, we make use of the compound interest formula
A = P(1+r/n)^nt
where A is the amount which we are to calculate
P is the amount deposited which is $5,600
r is the rate which is 1.9% or 1.9/100 = 0.019
t is the number of years = 10
n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)
Plugging all these values, we have
A = 5,600(1+ 0.019/4)^40
A = 5,600( 1 + 0.00475)^40
A = 5,600(1.00475)^40
A = $6768.75
Which is $6769 to the nearest dollars
Which is a solution to (x − 2)(x + 10) = 13?
Answer:
3
Step-by-step explanation:
3-2=1
3+10=13
1x13=13