[tex]5x^2-14x+8\\\\=5x^2-10x-4x +8\\\\=5x(x-2) -4(x-2)\\\\=(x-2)(5x-4)[/tex]
An account statement has a balance of 109 dollars and 75 cents. carl is balancing his checking account. after comparing the bank statement to his register, he notices an outstanding debit of $58.00. which shows the correct amount in carl’s checking account? $51.75 $109.75 $167.75 $221.87
The correct amount in carl’s checking account will be $51.75. Then the correct option is A.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
An account statement has a balance of 109 dollars and 75 cents.
Carl is balancing his checking account.
After comparing the bank statement to his register, he notices an outstanding debit of $58.00.
Then the correct amount in carl’s checking account will be
→ 109.75 - 58 = $ 51.75
More about the subtraction link is given below.
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Answer:
Step-by-step explanation:
a
order 130 inches, 4 yards, 10 feet from greatest to least
Answer:
Step-by-step explanation:
Before comparison can take place, these three measurements must be expressed in the same unit of measurement:
130 inches becomes 130/12 feet, or 10.83 ft;
4 yards becomes 4*3 feet, or 12 feet; qne
10 feet stays as is.
It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.
The ordered list from greatest to least is 4 yards, 130 inches, 10 feet.
What is Unit of Measurement ?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
First, we need to convert all the units to a common unit before we can compare them.
Let's convert them all to inches:
4 yards = 12 feet × 4 = 48 feet = 48× 12 inches = 576 inches
10 feet = 10 × 12 inches = 120 inches
Now we have: 130 inches, 576 inches, 120 inches
Ordering from greatest to least, we get:
576 inches, 130 inches, 120 inches
4 yards, 130 inches, 10 feet
Therefore, the ordered list from greatest to least is 4 yards, 130 inches, 10 feet.
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The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges $2 for the first time they service your lawn, and the price will multiply by a factor of 0. 85 every week thereafter. Green Thumbs charges $350 for the first time they service your lawn, and then charges an additional $30 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
The cost-savings if the Yert Family chooses the cheaper company is: $450.50
How do you determine the cheaper company?First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.
Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.
Step 1
Expressing the payment plan for Green Lawns, we have:
First week= $2
Second week = (2 + (2*0.85) ) = 3.7
Third week= (3.7 + (2*0.85) ) = 5.4
Using the above cumulative method, we arrive at the series of payments due per week
The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6
= $799.50
Step 2
Expressing the payment plan for Green Thumbs, we have:
350 + (30*30) = $1,250
Step 3
Hence (assuming they go for Green Lawns) the cost savings will be:
$1,250.00 - $799.50 = $450.50
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help?
Alyssa is getting gas for her car. Her car’s 15-gallon tank has 1/5 a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?
Answer:
$32.39
Step-by-step explanation:
She has a 15-gallon tank and it has 1/5 a tank of gas left (so about 3/15)
Because she needs to refill it and already has 1/5, she'll only need to pay for 4/5 a tank of gas (12/15).
So the equation should be 12 times $2.699.
12 × 2.699 = 32.388
Then, round to the nearest cent.
32.388 = $32.39
Hope this helped !
The admission fee at an amusement park is $ 1.75 $1.75 for children and $ 6.20 $6.20 for adults. On a certain day, 301 301 people entered the park, and the admission fees collected totaled $ 1350 $1350 . How many children and how many adults were admitted
Answer: I would say that you have to divide the children's cost and the total amount of money. you would do the same for the adults as well
1,350/1.75= 780 Children
1,350/6.20= 220 Adults
Which statement was made by the negative to indicate a bias in the survey data presented by the affirmative?
The survey did not ask for the students' opinions regarding their freedom of expression.
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
The survey was performed in elementary schools, not in high school environments.
The survey only asked female school officials for their opinions, not male school officials.
answer B
Answer:
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
Step-by-step explanation:
If m(arc RU) = (16x – 13)° , m(arc SU) = (11x – 24)°, and m∠STU = (3x + 1)°, find m(arc SU).
Answer: 75 degrees
Step-by-step explanation:
you leave your house and drive 7 miles north, then turn left and drive 24 miles west. how far are you from your house?
Now this question is a candidate for the Pythagorean Theorem :
According to the question (assuming that you're x miles away from your house) --
[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]
(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))
Select the THREE expressions that are equivalent to 6x+ 1 - (3x - 1)
25 PTS Help pls
If a single card is drawn from a standard 52-card deck, what is the probability it is a diamond or a face card (Jack, Queen, or King)?
A. 11/26
B. 2/7
C. 1/4
D. 2/52
Using it's concept, it is found that the probability that the card is a diamond or a face card is given by:
D. 25/52
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A standard deck has 52 cards, of which 13 are diamond and 12 are face, hence:
p = (13 + 12)/52 = 25/52.
Which means that option D(25/52) is correct.
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3 of 5
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4, 2)
Give coordinates as decimals where appropriate.
Answer:
(-3.5, 0.5)
Step-by-step explanation:
Midpoint Formula
M (x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)Solving
M (x, y) = (-3 - 4 / 2, 2 - 1 / 2)M (x, y) = (-7/2, 1/2)M = (-3.5, 0.5)Can someone explain how to get the answer, please? Thanks!
please need help on = 0.35+0.6+____= 1
Answer:
0.59
Step-by-step explanation:
Please answer this question.
Answer:
B
Step-by-step explanation:
given that x and y vary inversely then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition y is 24 when x is 8 , then
24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )
192 = k
y = [tex]\frac{192}{x}[/tex] ← equation of variation
when y = 18 , then
18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )
18x = 192 ( divide both sides by 18 )
x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]
Answer:
Step-by-step explanation:
Write the inverse variation
y = k/x
Solve for k
y = 24
x = 8
y = k/x Substitute the givens into this equation
24 = k/8 Multiply both sides by 8
8*24 = k
k = 192
Solve for x when y = 18
y = k/x Multiply both sides by x
xy = k Divide by y
x = k/y
x = 192/18
x = 10 2/3 The answer is given as an improper fraction.
x = (10*3 + 2)/3
Answer: x = 32/3
kate has a coin collection. she keeps 7 of the coins in the box, which is only 5% of her entire collection. what is the total number of coins in kate's coin collection?
Answer:
140
Step-by-step explanation:
5 percent is 5% or 5 out of 100
5 / 100 = 7 / x
Cross multiply to get
5x = 700
Divide both sides by 5
x = 140
Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?
The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?
Answer:
I got you with Question 3 and 4 my guy.
3) He would need 12 and it would cost 50k
4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27
The Tom will need to bring to the closing $54,341.27
He would need 12 and it would cost 50k.
We have given that,
Tom buys a condominium for $42,600.
He makes a down payment of 15% and pays these closing costs to survey $225.
What is the meaning of a down payment?
The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.
Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286
9% payments: $563.24
7% payments: $494.75.
Monthly savings: $69.49
9% total repaid: $2022,764.90
7% total repaid: $148,423.63
Savings: $54,341.27
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Which inequality has the graph shown below?
Answer:
Its A.
Step-by-step explanation:
Here is the graph for A
Yummy Cookies just opened a brand new cookie bakery, and sales are increasing every month!
In January, the baker made 10 chocolate chip cookies. In February, the baker doubled the January order, took 6 cookies home to his family, and sold the rest. If the baker continues to double the full amount and then brings 6 cookies home to his family, how many cookies will the baker sell in March and April?
Will mark Brainliest to the first answer!
Answer:
In March the baker will sell 34 chocolate chip cookies. In April he will sell 74 cookies.
Step-by-step explanation:
So first, we end up doubling the original amount of cookies from January for February which gets us 20 cookies, he takes 6 homes leaving us with 14. He continues to double the FULL amount so he doubles 20 for March which gets us 40, then we again take 6 away leaving us with 34. We do the same thing for April. Double 40 getting 80, take away 6 you get 74. Done.
determine the oreadred pair for (-10,3) whenitn it has been reflected over the y-axis
Answer:
I determined it's cherry pie because the typical slice size allows 10 slices and that is enough for 10 people to enjoy it's goodness quite amazing
What is 85% of 21?
I need to know for school because we're doing this project.
Answer:
85% of 21 is 17.85.
What is the value of x?
What is the value of y?
Answer:
Step-by-step explanation:
Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:
[tex](6+x)^2+20^2} =(18+6)^2[/tex]
[tex](6+x)^2+400 =576[/tex]
[tex](6+x)^2=176[/tex]
Take the square root of both sides:
[tex]6+x=\sqrt{176}[/tex]
[tex]x=\sqrt{176} -6[/tex]
Moving on to the smaller triangle, we can find the value of 'y' to be:
[tex]6^2+y^2=18^2[/tex]
[tex]y^2+36=324[/tex]
[tex]y^2=288[/tex]
[tex]y=\sqrt{288}[/tex]
What is the value of x? Your answer may be exact or rounded to the
nearest tenth.
The value of x in the given figure is 91 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of x in the given figure.
To find x, firstly we need to find the unknown interior angle.
By Angle sum property the sum of three angles of a triangle is 180 degrees.
a+54+37=180
a+91=180
Now subtract 91 from both sides
a=180-91
a=89 degrees.
Now let us find the value of x which is adjacent to 89 degrees.
The sum should be 180 degrees
a+x=180
89+x=180
Subtract 89 from both sides
x=91 degrees
Hence, the value of x in the given figure is 91 degrees.
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She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?
Answer:
So, there are seven choices, etc, so the equation is
7x6x7x2
because there are multiple ways
so, 588
can i have help with this
Answer:
Option D
Step-by-step explanation:
Square:
Side = 25 ft
Area of square = side * side
= 25*25
= 625 square ft
Area of semicircle:
diameter = 25 ft
r = 25/2 = 12.5 ft
[tex]\boxed{\text{Area of semicircle =$ \dfrac{\pi r^{2}}{2} $}}[/tex]
[tex]=\dfrac{3.14 * 12.5*12.5}{2}\\\\\\= 245.3 \ square \ ft[/tex]
Area of the shaded region = area of square - area of semicircle
= 625 - 245.3
= 379.7 square ft
The line graphed below has a slope of ____.
To find the slope, we must have two points
--> Two points: (-3,1) and (-1, -5)
The slope's formula is --> [tex]\frac{y2-y1}{x2-x1}[/tex]
(x1, y1) --> (-3,1)(x2, y2) --> (-1, -5)So the slope = [tex]\frac{-5-1}{-1--3} =\frac{-6}{2} =-3[/tex]
The line graphed below has a slope of -3
Hope that helped!
Please help with my homework. I will give a brainlist out. Only solve 30 please.
Let's solve
[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]
[tex]\\ \rm\Rrightarrow 9C=165[/tex]
[tex]\\ \rm\Rrightarrow C=165/9[/tex]
[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]
What do we do to both sides of this equation to solve?
x−10=8
Question 2 options:
Subtract 10 from both sides
Add 10 to both sides
Multiply both sides by 10
Divide both sides by 10
Add 10 to both sides
Step-by-step explanation:
x-10 = 8
x - 10 + 10 = 8+ 10
x = 18
Step-by-step explanation:
Add 10 to both sides
or,x-10+10=8+10
or,x=18
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d is about 8.6 feet.
Step-by-step explanation:
We have similar triangles, so we can set up and then solve this proportion:
[tex] \frac{d}{10} = \frac{6}{7} [/tex]
[tex]7d = 60[/tex]
[tex]d = 8.6[/tex]
Sage borrowed $4500 from her parents to buy a new car. So far she has repaid $2740. If sage repays her parents $110 a month, how much time will it take her to pay back the full amount of the loan?
Answer:
16 months
Step-by-step explanation:
Hey there!
This would be the correct answer because first you need to subtract the amount she paid from the amount she owes.
[tex]4500-2740[/tex]
[tex]=1760[/tex]
After that divide that answer from 110
This is because she will be paying 110 each month
[tex]1760/110[/tex]
Once you calculate that you will get 16.
) What is the slope and y-intercept of this line?
y = –4x + 7
Question 8 options:
slope: 4, y-intercept: –7
slope: –4, y-intercept: 7
slope: 7, y-intercept: –4
slope: -7, y-intercept: -4
Answer:
slope: -4 y intercept 7
Step-by-step explanation:
when using the formula y=mx+b
The slope is the fraction for m -4/1 or -4.
The y intercept is 7 and thats where the graoh starts.
Answer: slope: -4, y-intercept: 7
Step-by-step explanation: I just took the test :)
