Answer:
12.3 – (-9.6)
Step-by-step explanation:
A boat rental company recommends a boat that can go 402 miles on LaTeX: \frac{23}{2}23 2 gallons of gasoline. However there are other boats available that have better fuel efficiency. Their rates miles to gallons are listed. Select the rates that have better miles per gallon than the recommended boat.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Distance = 402\ miles[/tex]
[tex]Gasoline = 23/2\ gallons[/tex]
Required
Determine boats with better rates
This question requires options which are missing. However, I'll give an explanation on how to determine the right answers.
First, determine the rate of the given boat by dividing distance by amount of gasoline.
[tex]Rate = Distance/Gasoline[/tex]
[tex]Rate = 402\ miles / \frac{23}{2}\ gallons[/tex]
[tex]Rate = 402\ miles * \frac{2}{23\ gallons}[/tex]
[tex]Rate = \frac{402\ miles * 2}{23\ gallons}[/tex]
[tex]Rate = \frac{804\ miles}{23\ gallons}[/tex]
[tex]Rate = 34.96\ miles/gallon[/tex]
For the list of mission options, calculate the rate using the same formula used above... then compare the results.
Take for instance, we have a boat with:
[tex]Distance = 500\ miles[/tex]
[tex]Gasoline = 10\ gallons[/tex]
Rate would be:
[tex]Rate = 500\ miles/10\ gallons[/tex]
[tex]Rate = 50\ miles/gallons[/tex]
By comparing these rates, we have that:
[tex]50 > 34.96[/tex]
So, this new boat has a better rate than the given boat.
Apply this on the missing options
Thirty more than one half of the students at at canyon middle school are in band.Five less than three fifths of the students are in athletics.If the number of students who are in band is equal to the number of students in athletics how many students are enrolled in canyon middle school
Answer:
Students at canyon middle school = 350
Step-by-step explanation:
Students at canyon middle school = x
Band = 1/2x + 30
Athletics = 3/5x - 5
athletics.If the number of students who are in band is equal to the number of students in athletics
1/2x + 30 = 3/5x - 5
1/2x - 3/5x = -5 - 30
5x-6x/10 = -35
-x/10 = -35
= -x(1/10)= -35
x = -35 ÷ -1/10
= -35 × -10/1
= 350
x = 350
Students at canyon middle school = 350
The area of a rectangle is 26.88 square centimeters. The length of the rectangle is 9.6 centimeters. What is the width of the rectangle in centimeters?
Answer:
26.88 divided by 9.6 is 2.8
Meaning that the width is 2.8 cm
What is the volume of a cylinder, in cubic cm, with a height of 14cm and a base
diameter of 6cm? Round to the nearest tenths place
Answer:
395.8 cm³
Step-by-step explanation:
H=14 D=6
r=3
V=πr² h
V=[tex]\pi[/tex](3)²(14)
V=395.840674352
Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second day, she got a later start and drove 540 miles in 8 hours. How many miles per hour faster was her average speed the second day?
Answer:
2.5 miles per hour fasterStep-by-step explanation:
Step one:
the first day
distance= 650miles
time taken= 10 hours
speed= distance/time
speed= 650/10
speed= 65miles per hour
Step two:
the second day
distance= 540mile
time taken= 8 hours
speed= distance/time
speed= 540/8
speed= 67.5miles per hour
Step three:
the difference between the two speeds is =67.5-65= 2.5
therefore on the second day, the speed is 2.5 miles per hour faster
What is the ordered pair for point A
Answer:
(-1.5, 2.5)
Step-by-step explanation:
look at x-value and y-value
find difference between -1 and -2 which is 0.5 same goes with y-axia
Find the simple interest paid to the nearest cent for each principal, interest
Rate, and time.
$1,450, 2.5%, 2 years
and
$390, 3%, 5 years
Answer:
S I = PRT/100
=1450×2.5×2/100
=1455/100
=14.55
S I =PRT/100
390×3×5/100
5850/100
58.5
URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
Answer:
NK = 7, MK = 2, MF = 9.9, Area = 42Step-by-step explanation:
Refer to attached
To find:
NK , MK, MF, Area of trapezoidSolution
The trapezoid is isosceles and NK is its height, therefore
MD - NF = 2MKMK = (9 -5)/2 = 2Since ∠KDN = 45°, the triangle NKD is isosceles and so
NK = KD = MD - MK = 9 - 2 = 7MF = ND as trapezoid is isosceles and therefore diagonals are equal
ND = NK√2 = 7√2 = 9.9 So MF = 9.9Area of trapezoid
A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42What is t if the equation is
-8t=27+t
Answer:
t = -3
Step-by-step explanation:
Given: -8t = 27 + t, we must isolate the variable; in this case, the variable is t.
So, to isolate the variable, we will move all terms containing t to the left side of the equation.
Therefore,
-9t = 27
Then, we divide each term by -9 and simplify.
We get:
t = -3
K'Mar was painting the walls of his house. He could paint 1/3 of a wall in 3/5 of an hour. how many walls does he paint per hour
PLSSSSS HELPP MEEEEEEEEE PLS RESPOND TO ME
Answer:
HOLAAAAAO
Step-by-step explanation:
Mary has $267 in her checking account . She writes checks for $33,$65 and 112. What is the balance in her account now ?
Answer:
57
Step-by-step explanation:
What is the solution to n/4 = -12.4?
n = 3.1
n = -3.1
n = 49.6
n = -49.6
Answer:
n= -49.6
Step-by-step explanation:
49.6 i did this test and got it right
A local little league has a total of 85 players, of whom 40% are left-handed. How many left-handed players are there?
Answer:
34 players
Step-by-step explanation:
40.00%
=0.4
0.4*85
=34
Y’all please helppp it says (ax + by)/c = d solve for x
Answer:
[tex]x=\frac{dc-by}{a}[/tex]
Step-by-step explanation:
[tex]\frac{ax+by}{c}=d\\\\ax+by=dc\\\\ax=dc-by\\\\x=\frac{dc-by}{a}[/tex]
At Manzana Grocery Store, apples cost $2.80 per pound. Maricela bought 2.7 pounds of apples. How
much did she pay for the apples?
A
$75.60
B
$11.20
с
$0.70
D
$7.56
Answer:
D. 2.80 times 2 is 5.60 and 2.80 times 0.7 is 1.96 and when you add them you get 7.56.
Solve please. Just give the answer plz!
Answer:
I think the answer is 6 hours. I'm not sure though
Answer:
0.5 or 1/2 of an hour
Step-by-step explanation:
3/10 + 1/5
1/5 is equivalent to 2/10
3/10 + 2/10 = 5/10
5/10 is equivalent to 1/2
The 2020 Election is shaping up to be the largest one yet! They estimate that there are 240,000,000 eligible voters in the United States this year. So far, 70,000,000 have voted, and experts estimate that upwards of 150,000,000 people will vote in total this year. What percentage of eligible voters will participate in this year's election?
Answer:
Percentage = 91.67%
Step-by-step explanation:
Number of eligible voters = 240,000,000
Number of voters so far = 70,000,000
Number of estimated voters = 150,000,000
Total number of participants (voters) = 70,000,000 + 150,000,000 = 220,000,000
To find the percentage;
[tex] Percentage = \frac {220,000,000}{240,000,000} * 100 [/tex]
[tex] Percentage = \frac {11}{12} * 100 [/tex]
[tex] Percentage = 0.9167 * 100 [/tex]
Percentage = 91.67%
Therefore, the percentage of eligible voters that will participate in this year's election is 91.67%
Answer:
91.67%
Step-by-step explanation:
SoMebOdY oNcE
ToLd mE iTS
YOur pOweR
ToDo
rOKi-
The point (1,0) is rotated (5π/4) about the origin. Find the coordinates of its image correct to three decimal places.
Answer:
The result can be shown in multiple forms.
(1,0),3.92699081 ...
Pls help I will brainlest u
Find the sum without using a number line.
Answer:
- 1 1/4
Step-by-step explanation:
-9 1/4 + 8 = -1 1/4
Which expression is equivalent to a^m + a^n? A, a^m - n B, a^m+n. C, a^m • n d, a^m (divided by) n
Answer:
Option B
Step-by-step explanation:
[tex]a^{m} + a^{n} = a^{m+n}[/tex] ( by using laws of exponents )
Therefore option B is correct
Hope this helps
plz mark as brainliest!!!!!
Suzannah made 7 bows. How many feet of ribbon did she use?
Answer:
420
Step-by-step explanation:
Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture? StartFraction 1 Over 5 EndFraction cup. Cup StartFraction 1 Over 4 EndFraction cup. Cup StartFraction 3 Over 4 EndFraction cup. Cup StartFraction 4 Over 5 EndFraction cup. CupFifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors? 0.15(40) + 0.6x = 0.25(40 + x) 0.15(40) + 0.6(x – 40) = 0.25(x) 0.15(40) + 0.6x = 0.25(40 – x) 0.15(40) + 0.6(x + 40) = 0.25(x)
Correct question is;
1) Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?
2) Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?
A) 0.15(40) + 0.6x = 0.25(40 + x)
B) 0.15(40) + 0.6(x – 40) = 0.25(x)
C) 0.15(40) + 0.6x = 0.25(40 – x)
D) 0.15(40) + 0.6(x + 40) = 0.25(x)
Answer:
1) Amount of cream = ¼cup
2) Option D: 0.15(40) + 0.6(x - 40) = 0.25x
Step-by-step explanation:
1) First of all, let x represent the amount of cup of milk and let y represent the of cup of cream.
We are told that the volume of the mixture is 1 cup.
Thus;
x + y = 1 - - - (eq 1)
We are now told that the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat
Thus, x contains 0.02 fat, y contains 0.18 fat and the 1 cup of mixture contains 0.06 fat.
Thus, we will multiply the respective terms in eq 1 by these %fat content.
Thus;
0.02x + 0.18y = 0.06(1)
0.02x + 0.18y = 0.06 - - - (eq 2)
From eq 1, let's make y the subject which is the amount of cup of cream.
Thus,
y = 1 - x
Let's put 1 - x for y in eq 2 to get;
0.02x + 0.18(1 - x) = 0.06
0.02x + 0.18 - 0.18x = 0.06
0.18x - 0.02x = 0.18 - 0.06
0.16x = 0.12
x = 0.12/0.16
x = 3/4 cup
From,y = 1 - x;
y = 1 - (3/4)
y = ¼ cup
Amount of cream = ¼cup
2) We are given;
15% of the pigment in paint color A is black.
60% of the pigment in paint color B is black.
We are now told that Alan unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.
If we assume the total amount of paint in the mixture is x like we are told, it means that based on the given data, we have a sum of;
0.15(40) + 0.6(x - 40)
Thus is because we know the amount of paint A used as 40 but don't know the amount of paint B used.
Now we are told that this sum produces a mixture that contains 25% black pigment. Since the total amount in the mixture is x. Thus, this final product is 0.25x.
Therefore to derive an equation to find the total amount of paint in the mixture of the two colors, we will equate the sum of the 2 Mixtures to the final product.
This gives;
0.15(40) + 0.6(x - 40) = 0.25x
What is the slope of a line perpendicular to the line whose equation is
4x – 3y = –27.
what is 2 3/5 as a decimal
Answer: 2.6
Step-by-step explanation:
1: Split the number into its whole number component and it fractional component.
2 3/5=2+3/5.
2: For the denominator, recognize that 5x20=100.
Multiple=20.
3: Multiply both the numerator and denominator by the multiple 20.
3x20, 5x20.
4: Simplify.
60/100.
5: Simplify.
0.6
6: Combine the whole number component with the decimal.
2.6✅
Write and evaluate the expression. Then, complete the statements.
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Yuna ran three times as many kilometers.
Evaluate when k = 12.2.
Answer:
Write and evaluate the expression. Then, complete the statements.
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Yuna ran three times as many kilometers.
Evaluate when k = 12.2.
First, write the expression as
✔ 3k
.
Second,
✔ substitute
12.2 in for the variable, k.
Third,
✔ simplify
by
✔ multiplying
3 and 12.2.
The answer is
✔ 36.6
Since Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6
The writing and evaluating the expression:Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.
First, write the expression as 3k
Second, substitute 12.2 in for the variable, k.
Third, simplify by ✔ multiplying 3 and 12.2.
And, finally, The answer is 36.6
Learn more about expression here: https://brainly.com/question/11656147
A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies how many teaspoons of cinnamon are needed to make 60 oatmeal cookies
Answer:
c
Step-by-step explanation:
What is 9 - 3 ÷ 1/3 + 1 Please show work
Answer:
answer
Step-by-step explanation:
9-3 = 6
6 divided by 1/3 is (3x6) = 18
18 + 1 = 19
Answer:
the answer is 19
Step-by-step explanation:
para un partido de fútbol se vendieron 35988 entradas a los cuales se repartieron 65 tiendas Cuántas entradas vendió Cada tienda
Answer:
554 Boletos
Step-by-step explanation:
35988 dividido por 65 es igual a 553,661538
Redondea 553.661538 y obtienes 554 boletos.
¡Espero que esto haya ayudado! :)
Select all equations that have graphs with the same y-intercept.
Group of answer choices
y=3x - 8
y=3x - 9
y=3x + 8
y= 5x-8
y=2x -8
y=1/3x -8