Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
3
4
+
1
6
4
3
+
6
1
plss help
Answer:
Step-by-step explanation:
the answer would be 11/12
Nathan drinks 25 cups of coffee over 5 weeks. How many cups of coffee will Nathan drink in 3 weeks?
Answer: 15
Step-by-step explanation: 5, 10, 15, 20, 25
Answer:
15 cups of coffee in 3 weeks
Step-by-step explanation:
every week Nathan drinks 5 coffees because if we were to do 25 divided by 5 we get 5, and 5 x 5 is 25, so if we did 5 x 3 we would get 15. the 3 represents the amount of weeks.
which situation could be represented by the equation 15.5 = x/2
Answer:
C. Julie drive 15.5 miles from her home to the grocery store. Julie drives the same path going back home. What is x, the total amount of miles traveled to the grocery store and back home?
Step-by-step explanation:
The situation in the 3rd option represents the equation, 15.5 = x/2.
Distance driven by Julie to the grocery store = 15.5 miles
Distance driven by Julie back home following the same path = 15.5 miles
Total amount of miles travelled to and fro the store, x, = 2*15.5
This means, the mile's covered going to the store or coming back home can be expressed as ½ the total amount of miles, x, covered. Which is: 15.5 = ½x
Therefore, the third option represents the equation, 15.5 = x/2.
Juan rented a chainsaw from Steve's Tools. It cost $19 plus $6 per hour. If Juan paid
$49, then he rented the chainsaw for how many hours?
Answer:
2 hours
Step-by-step explanation:
if you do 19x2 then that is 38 and then you have to add 6 dollars per hour so that would be 2 hours
what slope line passes through the points (-5,3) and (-3,8)
Answer:
5/2
Step-by-step explanation:
i aint never seen two pretty best friends, its always one em gotta be ugly
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the slope of a line passing through two given points, we use the formula:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.
Plugging in the values given, we get:
[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]
Therefore,
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
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Solve: -2+x=4 Please please answer quickly
Answer:
x = 6
Step-by-step explanation:
-2 + x = 4
x = 4 + 2
x = 6
Thank you :-)
A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?
Correct question
A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5 pound tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?
Answer:
If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version
Step-by-step explanation:
For tuna: Made from scratch
The ingredients cost $12.18 and yield 10 four-ounce servings.
10 servings = $12.18
1 serving = x
10 × x = 1 × $12.18
x = $12.18/10
x = $1.218
Hence, 1 four ounce serving cost $1.218
The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub.
5 pound tub salad = $26.99
1 pound tub of tuna salad = x
5 × x = 1 × $26.99
x = $26.99/5
x = $5.398 per pound
Converting to ounces
0.0625 pound = 1 ounce
5 pound = x
x = 5/0.0625
x = 80 ounces
80 ounces of tuna salad = $5.398
4 ounces of tuna salad = x
80 × x = 4 × $5.398
x = 4 x 5.398/80
x = $0.2699
Hence, 1 4 ounce pre made tuna salad cost = $0.2699
Hence, the cost per portion for the scratch-made is $1.218 per 4 ounces servings and the premade versions is $0.2698 per 4 ounce servings
If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version
Asher reads 2 books a week. Kyla reads 7 books a month. Sawyer reads 90 book a year. Who
reads more books?
Answer:
Asher
Step-by-step explanation:
Answer:
Asher reads more books
Step-by-step explanation:
Asher reads 2 books a week wich is about 102 books a year (because there about 52 weeks in a year)
kyla reads 7 books a month wich is 84 books a years
Sawyer reads 90 books a year
If $800 is deposited into a new savings account with a simple interest rate of 1.8%, what will be the total amount in the account after 15 years?
Answer:
Step-by-step explanation:
I = prt
I = 800 × 1.8% x 15
I = $216
Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!
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please need this asap!! will give brainliest and a thanks to fast answers :)
Answer:
15 days
Step-by-step explanation:
Answer:
27 days
Step-by-step explanation:
PLZ HELP ME IF YOU ARE A MR.BEAST FAN. The sum of 7 and 5 times a number is 48. What are the two numbers? What is the equation and the solution of the question.
Answer:
I´m not a Mr. Beast fan but the answer is 4. 4*12 (which is the sum of 7 and 5) = 48
The equation is (7+5)x=48
Answer:
i am a big fan here is the answer (7+5)x=48
Step-by-step explanation:
can I have topics for STEAM (Science, Technology, Engineering, Art, Math) It must be a real-life problem and I have to figure out a solution and the solution must include Science, Technology, Engineering, Art, Math in it. If you have any ideas please help thank you.
Answer:
See below.
Step-by-step explanation:
I find autonomous robotics and fuzzy-related topics interesting. But it must include all the topics? I mean, Art as well? In the field of robotics, some interesting approaches involve building robots capable of moving in cluttered environments, places with humans efficiently. In this context the study of mapping algorithms and computer vision is interesting.
PLEASE HELP
PART A
Diego deposited $10,000 for 4 years at a rate 6% simple interest. find the amount of interest Diego earned after 4 years.
PART B
If Diego closes his account after the 4 years, how much money will he have total?
Total Amount=
Answer:
Part A=2,400 Part B=12,400
Step-by-step explanation:
The amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Diego deposited $10,000 for 4 years at a rate 6% simple interest
We need to find the interest earned by Diego after 4 years.
Let us find what is 6% of 10000
Convert 6% to decimal value by dividing with 100.
6/100=0.06
Now multiply zero point zero six with 10000
0.06×10000
600
Noe for four years she earned
4×600
2400
2400 is the amount of interest Diego earned after 4 years.
Now let us find the money Diego have after 4 years.
Which is 10000+2400
12400
Hence the amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
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La Srta. Vázquez tiene 17 una clase de estudiantes. Ella puede gastar 24 dólares por estudiante para comprar material de matemáticas para el año escolar. Ella compra primero calculadoras para todos sus estudiantes, con un costo total de 134,81 dólares . Después de comprar las calculadoras, ¿cuánto dinero le queda para gastar por estudiante? Lis ayúdenme debo entregar hasta el viernes
Answer:
A la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
Step-by-step explanation:
Primero, tienes que dividir el costo total de las calculadoras que compró la Srta. Vázquez entre el número de estudiantes para saber cuánto gastó por estudiante:
134,81/24=5,61
Ahora que sabes cuánto gastó por estudiante, debes restar esto de la cantidad que puede gastar por estudiante para saber cuánto le queda:
24-5,61=18,39
De acuerdo a esto, la respuesta es que a la Srta. Vázquez le quedan $18,39 para gastar por estudiante.
find the total cost or sale price to the nearest cent and write your answer with a dollar sign
$2,500 jet ski; 6.5% tax
Answer:
$2662.5 is the answer in my opinion
can you help me with this I need it done by tomorrow thank you
Answer:
x = 17deg
Step-by-step explanation:
angle DCE = angle ACB (vertically opposite angles)
therefore,
x + 100 = 4x + 49
3x = 51
x = 17deg
Answer:
X=
Step-by-step explanation:
First you have to divide the shape into to triangles. Triangle CED and triangle ACB.
Second you have to find what angle C is in the triangle ACB. For this you'll have to:
Find out which of the sides are which. For triangle ACB, side CB is the hypotenuse, CA and AB are adjacent.
The formula we use is [tex]a^{2} +b^{2} =c^{2}[/tex]. a and b are adjacent and c is hypotenuse.
When you found what angle C is, you can go on and to the second triangle same theorem applies to the second triangle [tex]a^{2} +b^{2} =c^{2}[/tex]. At this stage you will already know two angles, 100 and c, so finding E using this formula will be easy
2(-6m - 3) =6(5m - 1) please show work what is m ?
Answer: m=0
Step-by-step explanation: simplify each individual expression first. The left side of the equation is equal to -12m-6, and the right side is equal to 30m-6. Then together, it equals to -12m-6=30m-6. The -6 cancel each other out. M=0
3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?
Answer:
$56.70
$132.30
$17.199
$149.499
No
Step-by-step explanation:
Given that:
Regular price of skis = $189
Discount % = 30%
Amount saved = $140
After sales tax = 13%
a. What is the discount?
Discount amount = Regular price * discount %
Discount amount = $189 * 0.30
Discount amount = $56.70
b. What is the new price?
Regular price - Discount amount
$189 - $56.70
= $132.30
c. What is the tax?
Sales tax = new price * tax %
Sales tax = $132.30 * 0.13
Sales tax = $17.199
d. What was the total price of the shoes, after the discount and tax?
New price + sales tax
= $132.30 + $17.199
= $149.499
e. Do you have enough money?
No
$149.499 > $140
The bike cost $120. The sales-tax rate was 8%. What is
the total cost of the bike including sales tax?
Answer:
$129.6
Step-by-step explanation:
just use ur calculator i think
Answer:
$129.60
Step-by-step explanation:
8 percent of 120 is 9.6
9.6+120=129.6
This is my sister's work, please help. will give brainliest. DON'T GIVE STUPID ANSWERS, I WILL REPORT
Daisy filled a bucket with 7/6 gallon of rain.water.
later she poured out 1/6 of gallon of of the water. how much water is left in the bucket?
I'll mark you brilliantest
HELP PLEASE IM FAILING!!!The Horizon Resort charges $150 per night for a single room, and a one-time
valet parking fee of $35. If a person stays 4 nights what is the total cost? Make an equation
The total cost is $635.
An equation to solve this would be 150x · 35 = 635 with x equaling 4, or 150(4) · 35 = 635. Glad I could help. PLEASE GIVE BRAINLIEST. I NEED 5 OF THEM TO LEVEL UP.
Rachel has $1,800 to spend on renting a venue for a party. The available locations to rent for the party cost between $660 and $2,500. This cost includes a base cost, plus a set-up fee that is one-fifteenth of the base cost. The total cost can be modeled by the function shown below, where c represents the base cost of renting a venue.
f(c)=c+1/5c
State the domain of values that represents the base cost for the venues Rachel can afford.
Answer:
618.75 to 1687.50
Step-by-step explanation:
FREE BRAINLY! What is the equation of the line perpendicular to the line y = -3 and passing through the point (2, -1)?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
We want the equation of the line perpendicular to y=-3.
Notice that y=-3 is a horizontal line.
Therefore, in order to be perpendicular, our new equation must be vertical.
We know that it must pass through the point (2, -1).
Since it must be vertical, it must pass through the x-coordinate.
Therefore, our line must be:
[tex]x=2[/tex]
It passes through (2, -1) and is a vertical line, so it’s perpendicular to y=-3.
Answer:
x=2
Step-by-step explanation:
Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin
Answer:
30
Step-by-step explanation:
Work backwards:
6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30Check your work:
2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys left
The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1
Answer:
881 (-6x)
Step-by-step explanation:
A school set a goal to collect at least $360 from a book sale. They have already collected $180. The school receives $3 for each book sold. Write an inequality to show the number of books the school needs to sell to meet their goal.
PLS HURRY!!!
A parabola has a vertex at (0,0). The equation for the
directrix of the parabola is x = -4. In which direction does the parabola open?
Answer:
Right.
Step-by-step explanation:
The answer is right on edge2020 I just took the test.
The direction in which the parabola will open is; To the right
What is the equation of a parabola?We are given;
The vertex of the parabola is at (0, 0)
Directrix of the parabola is x = -4
We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
Thus, we can conclude that the parabola opens towards the right.
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Determine whether each triangle with sides of 28 yd, 195 yd, and 197 yd is a right triangle
Answer:
yes it is
Step-by-step explanation:
to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared
Will give brainliest if correct.
Your answer should come to:
y = -2/3x + 3