Answer:
D; it was bought for $5,487.36
Step-by-step explanation:
Let the investment amount be $x
We use the formula for simple interest to get the interest
(2112.64-x) = (x * 5.5 * 7)/100
211264-100x = 38.5x
138.5x = 211264
x = 211264/138.5
x = 5,847.36
-2(n - 12) + 1 = -2n + 25 how many solutions can be found
Answer: One
Step-by-step explanation:
How many quarts is 10 pints?
Answer:
5
Step-by-step explanation:
I used google
Which of the following correlation coefficients would represent the strongest correlation?
.84
-0.56
0.12
-0.91
Yesterday,
grace drove 35 1/2used
gallons 1 1/4 of gasoline. What is the unit rate for miles per gallon?
Answer:
The unit rate for miles per gallon is 33.75. 33.75 as a fraction 135/75
Step-by-step explanation:
35.5 divided by 1.75 is 33.75
33.75 as a fraction is 135.75 which is an improper fraction
So you have to divide the numerator by the denominator
135 divided by 75 is 1.8 as a decimal
Answer:
28.4
Step-by-step explanation:
35 1/2 miles over 1 1/4 gallons of gasoline. 1 1/4 converted into an improper fraction is 5/4, so you multiply the numerator and denominator by 5/4. You need to multiply by 5/4 because you need to get to miles per gallon, which equals to 1. (A fraction multiplied by its reciprocal will always equal 1) once you've multiplied the numerator and denominator by the reciprocal, your answer will be 28.4 - hope this helped!
One jug of powdered plant food treats an area of 140 square feet of flowers. How many jugs would be needed to treat an area of 175 square feet?
Use a graph plz!
Answer:
Step-by-step explanation:
Let [tex]n[/tex] and [tex]A[/tex] the number of jugs and the area of flowers, measured in jugs and square feet. We assume that exists a direct relationship between both variables. That is:
[tex]A \propto n[/tex]
[tex]A = k\cdot n[/tex] (1)
Where [tex]k[/tex] is the proportionality constant, measured in square feet per jug.
If we know that [tex]n = 1\,jug[/tex] and [tex]A = 140\,ft^{2}[/tex], then the proportionality constant is:
[tex]k = \frac{A}{n}[/tex]
[tex]k = 140\,\frac{ft^{2}}{jug}[/tex]
Then, the relationship between both variables is represented by:
[tex]A = 140\cdot n[/tex]
If we know that [tex]A = 175\,ft^{2}[/tex], then the minimum number of jugs needed to treat the area is:
[tex]n = \frac{175\,ft^{2}}{140\,\frac{ft^{2}}{jug} }[/tex]
[tex]n = 1.25\,jugs[/tex]
Since jugs represents a discrete set, then we round this number up to the next integer. In other words, we find that 2 jugs are needed to treat an area of 175 square feet.
Lastly, we present a graph to estimate the minimum value of jugs:
What single percentage change is equivalent to a 17% decrease followed by a 12% increase
Answer:
7.04% decrease
Step-by-step explanation:
Lets use 5 example
5*0.17=0.85
5-0.85=4.15
4.15*0.12=0.498
4.15+0.498=4.648
7.04% of 5 is 4.648
Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.
Answer:
The equation of the line in the slope-point form is y - 7 = 10(x + 6)
The equation of the line in the slope-intercept form is y = 10x + 67
Step-by-step explanation:
The slope-point form of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the point lies on the lineThe slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-intercept∵ The slope of the line is 10
∴ m = 10
∵ The line passes through the point (-6, 7)
∴ x1 = -6 and y = 7
→ Substitute them in the slope-point form above
∵ y - 7 = 10(x - -6)
∵ (-)(-) = (+)
∴ y - 7 = 10(x + 6)
∴ The equation of the line in the slope-point form is y - 7 = 10(x + 6)
→ Substitute m in the slope-intercept form
∵ y = 10x + b
→ To find b substitute x by -6 and y by 7 in the equation
∵ 7 = 10(-6) + b
∴ 7 = -60 + b
→ Add 60 to both sides to find b
∴ 67 = b
→ Substitute the value of b in the equation
∴ y = 10x + 67
∴ The equation of the line in the slope-intercept form is y = 10x + 67
Is 78 − –5 positive or negative?
Answer: it would be a positive
Answer:
the answer is positive because 78 is bigger than -5
Step-by-step explanation:
what is 4.25% as a decimal
Answer:
0.0425
Step-by-step explanation:
Answer:
0.0425
Step-by-step explanation:
hope this helped ^^
What is the converse of the following statement?
If M is the midpoint of
then
PM
OM
is congruent to
PO
If M is the midpoint of
, then PM is congruent to
Ом
o
If M is not the midpoint of PC, then PM is not congruent to
OM
IF PM is not congruent to
OM
then M is not the midpoint of Po
IF PM is congruent to OM, then Mis the midpoint of Fo.
Answer:
OM is congruent to PO, if M is the midpoint of PM
Step-by-step explanation:
a Converse means If q , then p .
In this case ''M is the midpoint of then PM'' that would be P
Q would be '' OM is congruent to PO'' .
Reverse the statements.
A t-shirt increased in price by
1
—
4
. After the increase it was priced at £20. What was the original price of the t-shirt? I will mark you the brainliest!
Answer:
5
Step-by-step explanation:
20×1/4=20/4=5
1/4×20/4=20/4=5
Calcula y:
14x - 5y = 60
8x - 2y = 36
Seleccione una:
A. 2
B. 6
C. 10
D. 5
E. 8
Answer:
Step-by-step explanation:
-28x + 10y = -120
40x + 10y = 180
12x = 60
x = 5: D is the answer
8(5) - 2y = 36
40 - 2y = 36
-2y = -4
y = 2: A is the other answer
A math tutor decides to increase his wage by 11%. What expression shows his new wage after the 11%
Answer:
1.11w
Step-by-step explanation:
Let initial wage = w
Percentage increase in wage = 11%
Using the relation :
New Amount = initial * (1 + % increase)
New Amount = w * (1 + 0.11)
New amount = w * (1.11)
New amount = 1.11w
Elmer goes to the store and buys a pair of sunglasses for $65. The
store is running a discount of 20%. What is the price of the pair of
sunglasses after the discount?
Answer:
$52
Step-by-step explanation:
Dicount: 20%
Discounted price: 80%
80% x $65 = $52
Topic: Percentage
If you would like to find out more, you can check out my insta (learntionary) I do post tips / notes. Notes for this topic have been posted already. you can take a look if you want to thanks
1. Tell whether each function is linear or not.
A.6x2 = 12. Yes/no
B.3xy=27 Yes/no
C.-2(x+y)+9=1. Yes/no
D.4-3y = 2x +9. Yes/no
Discuss the difference between fixed expenses and variable expenses as they relate to a budget
Answer:
Fixed expences are expences that don't change month-to-month, whereas variable expences are things that are needing to budgeted for every month, but may vary a bit and are therefor usually estimated on a budget.
Step-by-step explanation:
For example, rent would be a fixed expense because you know it will be X amount due on the same day every month. Food, on the other hand, would be a variable expense because it likely won't be the same amount month-to-month.
Answer:
Fixed expenses are expenses that stay the same for a person or a business. An example of a fixed expense is rent/mortgage. This expense doesn't change if you are only using the building for 2 weeks or the entire month, it's a set rate. A variable expense is an expense that changes like an electric bill, it varies based on the month and usage. When you budget, you can easily budget for your fixed expenses but you need to allow some room in your budget for expenses that change.
what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8
Slope is the change in y over the change in x:
Slope = (-7 - 1) / (2 - 5)
Slope = -8/-3
Slope = 8/3
How far is 75% of 2000 km trip
Answer:
1, 500km
Step-by-step explanation:
[tex] \frac{75}{100} \times 2000 \\ \\ = 1500[/tex]
Answer: 1,500km
Step-by-step explanation:
Hey everyone I need help!! Is my answer right? If not please say what is the right answer and explain! I will mark you brainlist after but yea have a great day everyone!!!!!!
Answer:
it would be 2 pieces and 1/3
Chris is taking out a loan for $2500 with a simple interest rate of 7% for 36 months. How much interest will he have to pay at the end of the loan period? *
Angela uses a scanner to make a reduced-size copy of a rectangular
photo that is 6 inches long and 4 inches wide. The length of the
reduced photo is 4 inches. What is its width?
Answer:
[tex]\dfrac{8}{3}\ \text{inches}[/tex] or [tex]2.67\ \text{inches}[/tex]
Step-by-step explanation:
The photo has length 6 inches and width 4 inches.
The ratio of length to breadth is
[tex]\dfrac{l}{w}=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
Now the reduced length of the photo is 4 inches.
Let [tex]x[/tex] be the reduced width of the photo
[tex]\dfrac{3}{2}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{3}\times2\\\Rightarrow x=\dfrac{8}{3}\ \text{inches}=2.67\ \text{inches}[/tex]
The width of the reduced photo is [tex]\dfrac{8}{3}\ \text{inches}[/tex] or [tex]2.67\ \text{inches}[/tex].
Tom is a lawyer who makes $132,000 per year. If his legal assistant, Alec, makes 53% of his salary, find Alec’s salary.
Answer: 69,960
Step-by-step explanation: all you have to do is divide 132,000 by 53%.
Answer this please I’m really struggling
Answer: x=10, y=7.5
Step-by-step explanation:
For this problem, we are given that BD bisects ABC. That means ABD and DBC are equal to each other. We are also given that ABC is 25. With the given information, we can create two equations.
Equation 1: 2x-y=3y-x
Equation 2: 2x-y+3y-x=25
Now, we can solve for x and y.
2x-y+3y-x=25 [combine like terms]
x+2y=25
Let's simplify Equation 1 by solving for a variable.
2x-y=3y-x [add both sides by x]
3x-y=3y [add both sides by y]
3x=4y [divide both sides by 3]
x=4/3y
Now that we have x, we can plug it into any equation to solve for y.
x+2y=25 [plug in x=4/3y]
(4/3y)+2y=25 [combine like terms]
10/3y=25 [multiply both sides by 3/10]
y=15/2
Now we can plug in y=15/2 to solve for x.
x=4/3y [plug in y=15/2]
x=4/3(15/2) [multiply]
x=10
Now, we know that x=10 and y=7.5.
Restaurant etiquette dictates that you should leave a 15% tip for the server if the service is acceptable. If that is the case, how much should you tip if your total is $32.00?
What season is it in the northern hemisphere?
A) spring
B) fall
C) summer
D) winter
Answer:
In the Northern Hemisphere right now it is Fall.
A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.
What is the value of x?
14
15
16
17
Answer:
14
Step-by-step explanation:
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Elmer walked 5.4 miles every day. How far did he walk in 11 days?
Answer:
59.4
Step-by-step explanation:
Answer:
He walked 59.4 miles in 11 days
Step-by-step explanation:
You take the number of miles he walked in one day, (5.4), then multiply it by the number of days he walked (11), so the answer is 59.4
what's the error and the solution
Answer:
the error is the last step. and the solution is 9
Step-by-step explanation:
8-5c=-37
-8 -8
-5c/-5 = -45/-5
c= 9 i hope that helps you bobby:)
Gianna is working two summer jobs, making $12 per hour washing cars and $8 per
hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of
$48. Graphically solve a system of equations in order to determine the number of
hours Gianna worked washing cars last week, x, and the number of hours Gianna
worked landscaping last week, y.
Answer:
x + y = 5
12x + 8y = 48
x = -y + 5
12(-y + 5) + 8y = 48
-12y + 60 + 8y = 48
-4y + 60 = 48
-4y = -12
y = 3
x + 3 = 5
x = 2
12(2) + 8(3) = 48
24 + 24 = 48
x = 2 hours of washing cars
y = 3 hours of landscaping
Hope this helps!!
- Kay
The value of x and y should be 2 and 3.
Calculation of the value of x and y:
Since Gianna is working two summer jobs, making $12 per hour washing cars and $8 per hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of $48.
So here the equation should be
x + y = 5
12x + 8y = 48
we can write as
x = -y + 5
So,
12(-y + 5) + 8y = 48
-12y + 60 + 8y = 48
-4y + 60 = 48
-4y = -12
y = 3
Now
x + 3 = 5
x = 2
Therefore, The value of x and y should be 2 and 3.
Learn more about equation here: https://brainly.com/question/1564293
James asks 60 pupils which drink they liked best from cola milk and water 32 boys were in the survey 12 of the boys said they liked cola the best 4 boys and 9 girls liked water the best 21 pupils said they liked milk altogether How may students altogether liked cola the best
Answer:
Students altogether liked cola the best 26
Step-by-step explanation:
Total no of pupils = 60
Boys = 32
girls = 28
we will make a table
Gender cola milk water total
Boys 12 4 32
Girls 9 28
we can find the missing numbers
Let x be for milk
In boys 12 + x + 4 = 32
x = 16
In girls
as 21 liked milk altogether
so girls = 21 - 16 = 5
Gender cola milk water total
Boys 12 16 4 32
Girls 5 9 28
For cola let y
in girls
y + 5 + 9 = 28
y = 14
Gender cola milk water total
Boys 12 16 4 32
Girls 14 5 9 28
Altogether cola = 14 + 12 = 26
Answer:
26
Step-by-step explanation:
answer is 26
trust