Answer:
10:5
Step-by-step explanation:
Answeer
2 to 3. ... On many GMAT questions, you will be given a ratio, and you will solve by setting up a ... We set up a proportion by finding something that we can set the ratio equal to:.
Step-by-step explanation:
If l, m, and n are parallel, solve for x. Type in numerical values only, do not type in x=
Answer:
x = 11
Step-by-step explanation:
According to proportionality theorem, the transversal is divided proportionally as it cuts across parallel lines l, m, and n.
Therefore:
[tex] \frac{12.8}{x + 5} = \frac{x - 3}{10} [/tex]
Cross multiply
[tex] (12.8)(10) = (x + 5)(x - 3) [/tex]
[tex] 128 = x^2 - 3x + 5x - 15 [/tex]
[tex] 128 = x^2 + 2x - 15 [/tex]
[tex] 0 = x^2 + 2x - 15 - 128 [/tex]
[tex] 0 = x^2 + 2x - 143 [/tex]
Factorise:
[tex] 0 = x^2 - 11x + 13x - 143 [/tex]
[tex] 0 = x(x - 11) +13(x - 11) [/tex]
[tex] 0 = (x - 11)(x + 13) [/tex]
x = 11 or x = -13
We'd take the positive value.
Therefore, the value of x is 11.
The table below shows the distance a car travels and the amount of gasoline left in the tank of the car.
Distance Traveled and Gas Left in Tank
Distance Traveled
(in miles)
0
90
180
270
Amount of Gas Left in Tank
(in gallons)
15
12
9
6
How many gallons of gasoline does the car have left after it has traveled 330 miles?
Answer:
its b
Step-by-step explanation:
i just took the test
Answer: it has 4 gallons left
Step-by-step explanation:
WILL GIVE BRAINLIEST
When solving for a quantity in a formula, what are the most important things to consider? What process do you follow in order to be sure that you've correctly solved for some quantity?
Answer:
Always follow PEMDAS.
Join all like terms.
Use inverse operations.
Always solve parentheses first (included in PEMDAS).
Make the variable alone, by itself, on one side of the equation.
Finally, substitute your answer in and see if it is correct.
what is 2/3 divided by 1/2 in fractions
Answer:
4/3
Step-by-step explanation:
Answer:
the answer is 4/3
Step-by-step explanation:
Hope that helps!
Zack delivers mail for the post office.everyday he walks a seven mile route.How many miles does Zack walk in one month if he works 22 days a month
If im right give me brainliest
Answer: 154
Step-by-step explanation: 22 represents days 7 represents miles he walks a day i think you to have to multiply. 22 times 7 is 154
Find the ratios x:y:z if x:y=9:10 and y:z=5:3
Answer:
Step-by-step explanation:
Answer:
x : y : z = 9 : 10 : 6
Step-by-step explanation:
Expressing the ratio y : z = 5 : 3 in fractional form, that is
[tex]\frac{y}{z}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5z = 3y ( divide both sides by 5 )
z = [tex]\frac{3}{5}[/tex] y = [tex]\frac{3}{5}[/tex] × 10 = 3 × 2 = 6
Thus
x : y : z = 9 : 10 : 6
Asappppp , pls help me :((
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
At Gloria’s Restaurant, the average diner tips 18% of their total bill. Carter’s bill was $66.50. How much money should Carter tip?
Answer:
$11.97
Step-by-step explanation:
If Carter were to tip that 18%, then he should give a $11.97 tip.
0.6650 x 18 = 11.97
The amount Carter should tip at the restaurant is $11.97.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, At Gloria’s Restaurant, the average diner tips 18% of their total bill.
Therefore, The amount Carter must tip should be 18% of 66.50 which can be numerically expressed as,
(18/100)×66.50.
= $11.97.
So, Carter should tip $11.97.
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What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
144
4⋅144
564
414
Answer:
144
Step-by-step explanation:
i just did the test
A computer company offers a special discount to college students of 15% off. Find the discounted price of a computer that costs $1265.
Answer:
1075.25
Step-by-step explanation:
subtract the 15 percent using freindly percents
QUICK WHAT IS 3 2/5X 2 1/3
Answer: 119/15 = 7 14/15
Barry wants to take out a loan from his bank for $1000 to buy bicycle the interest rate on the loan from the bank is 9% he wants to pay the toll amount in three monthly payments what is the amount that vary with pay in interest rate loan
Answer:
22.50
Step-by-step explanation:
formula I=prt
I=1000x0.09x.25
I=22.50
The required interest paid by Barry is given as, $22.5.
Given that,
Barry wants to take out a loan from his bank for $1000 to buy a bicycle the interest rate on the loan from the bank is 9% he wants to pay the toll amount in three monthly payments what is the amount that varies with pay in interest rate loan is to be determined.
Simple interest is defined as the percentage of earnings on the lending for a period of time
Here,
Principal = 1000
Rate = 9%
Time = 3 / 12 = 0.25 years
So,
Interest = Principal × rate × time
interest = 1000 × 0.09 × 0.25
Interest = $22.5
Thus, the required interest paid by Barry is given as, $22.5.
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Alec paid the bill for dinner with his clients which totaled $140 before tax and tip. If an 8 percent sales tax was added to the cost of the meal, and an automatic tip was added in the amount of $25.00, what was the total cost of the dinner?
Answer:
176.2
Step-by-step explanation:
On a calendar you tyow 140 then add 8% then add 25.00
Answer:
176.2
Step-by-step explanation:
Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?
Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
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Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
Angie uses the equation E=0.03s + 25,000 to find her yearly earning E based on her total sales s. What is the independent variable
Answer:
25000
Step-by-step explanation:
it's independent because it's not related with her total sales s
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
Which shows the equation below written in the from ax^2 + bx + c = 0? x + 9 = 2(x - 1) ^2
Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
Identify all segments that are parallel to XY
A. ST
B. VZ, VW, ST
C. QR, QU
D. VW
Answer:
a. ST
Step-by-step explanation:
HELPPPPPPP I WILLL GIVE THE BRAINLIESTTTTTTTTTTTT
At Open Skate Night, admission is $4.50 with a membership card and $5.00 without a membership card. Skate rentals are $2.00.
Aidan paid the admission for himself and two friends at Open Skate Night. Aidan had a membership card, but his friends did not. Aidan paid with a $20 bill. How much change should Aidan receive?
Aidan should receive
$_________ in change.
Answer:
50 cents
Step-by-step explanation:
4.50 + 5.00 + 5.00 + 2.00 x 3 = ?
^
20.00 - ?
True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
Answer:
true
Step-by-step explanation:
Which of these transformations occurs when the blades of a fan turn?
a. dilation
b. reflection
c. rotation
d. translation
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
What is the measure of AX, in degrees?
N
6
Х
6
70
у
Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C
HELP ILL GIVE BRAINLIEST FOR RIGHT ANSWER
Which expression represents each mathematical phrase? Drag the answer into the box to match each phrase. subtract 9 from z add 9 and z divide 9 by z multiply 9 by z
Answer:
subtract 9 from z = z - 9
add 9 and z = 9 + z
divide 9 by z = 9/z
multiply 9 by z = 9z
Step-by-step explanation:
It's tricky but if you pay attention it's pretty easy dude.
Equations and Inequalities One-Pager
Solve for g.
18 = 3(g + 19)
NEED ANSWER ASAP PLEASE HELP!!!
What composition of transformations is equivalent to a rotation of 180°?
Open-ended question
Answer:
90 is correct good job
Step-by-step explanation:
Which graph is the solution to the inequality below?
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
x>-11