Answer:
Total gallon of fuel used = [tex]11.428[/tex] gallons
Step-by-step explanation:
Given -
The total distance travelled by car in one gallon of gas = 21 miles
Total distance travelled each day = 48 miles
Number of days days in a week in which Candice drive is 5 days
Total miles travelled per week = [tex]48*5[/tex] = 240 miles
Total gallon of fuel used = [tex]\frac{240}{21} = 11.428[/tex] gallons
Geometry help please. Thank you!
which of the following is the solution to the equation x^2-10x+16=0?
1.{2,8}
2.{-4,4}
3.{-16,10}
4. {-8,-2}
Answer:
1.{2,8}
Step-by-step explanation:
that's my answer
Answer :
1. { 2, 8 }
x² - 10x + 16 = 0
x² - 2x - 8x + 16 = 0
x ( x - 2 ) - 8 ( x - 2 ) = 0
( x - 2 ) ( x - 8 ) = 0
x - 2 = 0
x = 2
x - 8 = 0
x = 8
Therefore,
the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.
Translate this into an equation
Seven times the sum of a number and 9 equals 8.
Answer:
7(9+n)=8
Step-by-step explanation:
I hope this is right :)))
PLEASE HELP ME! QUICK POINTS FOR YOU!
All information needed is in the image below.
Please answer all parts!
Answer:
x = 14
∠ABD = 66
∠DBC = 24
Step-by-step explanation:
The sum of the two angles is 90 degrees, so:
3 (x + 8) + 2x - 4 = 90 (distribute 3)
3x + 24 + 2x - 4 = 90 (simplify)
5x + 20 = 90 (subtract 20 from both sides)
5x = 70 (divide both sides by 5)
x = 14
∠ABD = 3 (x + 8) (plug in 14)
∠ABD = 3 (14 + 8) simplify
∠ABD = 3 (22)
∠ABD = 66
∠DBC = 2x - 4 (plug in 14)
∠DBC = 2(14) - 4 (simplify)
∠DBC = 28 - 4
∠DBC = 24
To check, 66+24=90.
Answer:
The answer I got was
3(-26+8) = -54
2(-26)-4 = -56
Step-by-step explanation:
3(x+8)=2x−4
(3)(x)+(3)(8)=2x+−4(Distribute)
3x+24=2x+−4
3x+24=2x−4
Then subtract 2x from each side
Once then you have X substitute that number with X and you should get your answer.
So do 3(-26+8) and then 2(-26)-4 which then
3(-26+8)=
2(-26)-4 =
I need help with this math problem! Please try :) NO LINKS! If you put a link, you are reported
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Explanation:
mpg = miles per gallon
To calculate the mpg, you divide the number of miles traveled over the amount of gallons used.
In Caroline's case, she traveled 410.7 miles and used up 22.2 gallons. Her car's mpg rating is 410.7/22.2 = 18.5 mpg which means that one gallon of gas will allow her to drive 18.5 miles.
Which of the following is equivalent to the expression x + 3x + 5x for all values of x?
8x
9x3
9x
8x3
Answer:
9x
Step-by-step explanation:
x + 3x + 5x = 4x + 5x = 9x
I need help ASAP please
Answer:
option 4= 12/13
Step-by-step explanation:
let us supooae <c is thetha
sin thitha = oppotise side/hyptotenuse
<C= AB/AC
<C=12/13
Someone plzzz tell me this answer i am really stuck on this
Answer:
A
Step-by-step explanation:
Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by
write Two Most Active non Metals And Two Most Active Metals Among The Right Wing Elements In The Periodic Table?
Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.
Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.
The periodic table is composed of metals and nonmetals.
The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.
The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.
Learn more: https://brainly.com/question/25114219?
6.
Alexandra had lunch at a restaurant. The bill totaled $25.70 including tax. She had a
coupon for 10% off the bill. Alexandra deducted the amount for her coupon and
added a tip of 15% of the original amount of the bill. How much did Alexandra pay,
rounded to the nearest cent, for lunch?
A. $26.60
B. $26.99
C. $27.88
D. $29.17
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
Can someone plz help me
Answer:
A = 65, B = 75
Step-by-step explanation:
x + x + 10 + 40 = 180
2x + 50 = 180
2x= 130
x = 65
Answer:
∠A = 65°
∠B = 75°
Step-by-step explanation:
The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".
x + x + 10 + 40 = 180
2x + 50 = 180
2x = 130
x = 65
Now, we replace "x" with 65 to get ∠A and ∠B.
∠A = x = 65°
∠B = x + 10 = 65 + 10 = 75°
Could someone please answer this for me
Answer:
the answer is 144
Step-by-step explanation:
we find area so we multiple all numbers
Answer:
28m
Step-by-step explanation:
split the shape in two to find the shapes you know the area of.
rectangles
8×2 = 16
6×2 = 12
A = 28m
verify the following
i.[ -3/4]3 = -27/64
ii. [-2/3]6 = 64/ 729
Answer:
The relationships are correct and valid
Step-by-step explanation:
The correct question is as follows;
Verify the following
i.[ -3/4]^3 = -27/64
ii. [-2/3]^6 = 64/ 729
We have the solution as follows;
i) we have;
(-3/4)^3
That means ;
-3^3 = -3^3 = -27
4^3 = 64
so;
(-3/4)^3 = -27/64
ii) (-2/3)^6
(-2)^6 = 64
3^6 = 729
Thus;
(-2/3)^6 = 64/729
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
25
O 173 units
O 253 units
277 units
O 325 units
Answer:
area = 277 units²
Step-by-step explanation:
area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²
A math test is worth 100 points and has 30 problems.
Each problem is worth either 3 points or 4 points.
How many 4-point problems are there?
How do i change this into an algebraic expression
Answer:
I think 15
Step-by-step explanation:
15+15=30, so both 3 or 4 point questions have 15 problems each, hope this helped
Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.
a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.
b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.
c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?
Answer:
a. (A + S = 200), (8S + 10A = 1760)
b. The school play sold 80 adult tickets, and 120 student tickets.
c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Step-by-step explanation:
a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).
b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be
(8S + 10(200 - S) = 1760)
Then you solve for S
(8S + 2000 - 10S = 1760)
-2S = -240
S = 120
Substitute for S in the first system of equations
A = 200 - 120
A = 80
or the second
8(120) + 10A = 1760
960 + 10A = 1760
10A = 800
A = 80
This means that the school play sold 80 adult tickets, and 120 student tickets.
c. (8S + 15A = X)
8(120) + 15(80) = X
X = 2160
2160 - 1760 = 400
400$ more would have been collected if the school charged 15$ per ticket instead of 10$
pls no files, thanks
Answer: dont get the question sry
Step-by-step explanation:
Answer:
y =-4
x = 1
Step-by-step explanation:
Add the two equations
4x - y + 6x + y = 8 + 2 add like terms
10x = 10 divide both sides by 10
x = 1 now to calculate y replace x in first equation by 1
4x - y = 8
4 - y = 8 subtract 4 from both sides
-y = 4 and y = -4
One third of number is 8 less than the three times of the number, working pls
Answer:
the required number is 12
Answer:
3Step-by-step explanation:
One third of number is 8 less than the three times of the number
The number is x, then:
1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3Half of a number minus seven is equivalent to negative three. What is the number?
Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny nails then she did 10 penny nails. She had a total of 8 nails. How many 6 penny and 10 penny nails did sara purchase?
Answer:
Sara bought 5 6 penny nails and 3 10 penny nails
Step-by-step explanation:
Help fast please due in 10 mins
Answer: 465
Step-by-step explanation:
la torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 7 metros y 24metros ¿cuanto mide la pared lateral?
Answer:
La torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 5mtrs y60mtrs cuanto mide el otro lado de la torre !
RESOLVEMOS POR EL TEOREMA D EPITÁGORAS
Primero lado = 5 m
Segundo lado = 60 m
Lo que mide el otro lado es = x
Calculamos:
h² = a² + b²
h² = (5 m)² + (60 m)²
h² = 25 m² + 3600 m²
h² = 3625 m²
h = √3625 m²
h = 60,20 m
Rpt. El otro lado mide 60,20 m aproximadamente
Answer:
Hola. lo siento pero no hablo español
Step-by-step explanation:
What are the missing values?
Answer:
4up on 5 was missing ok madam
The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?
Answer:
Following are the responses to the give question:
Step-by-step explanation:
The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].
Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]
Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height
[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]
Please help! 30 points and crown! A diagonal of a cube measures StartRoot 750 EndRoot cm. The diagonal of a face measures StartRoot 500 EndRoot cm.
In centimeters, what is the length of an edge of the cube? Round the answer to the nearest tenth.
? centimeters
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
Answer:
The person above me is correct
Step-by-step explanation:
solve by system of equations by substitution and show work plz and thank you y=2x+3 y=-x-9
Answer:
X=-4, y=-5
Step-by-step explanation:
Y=2X+3
y=-x-9
substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:
-x-9=2x+3
-x-9+9=2x+3+9
-x=2x+12
-3x=12
x=-4
solve for y by inserting x value (2) into either equation
y=2x+3
y=2(-4)+3
y=-8+3
y=-5
check answer by inserting x and y into either equation to make sure they equal:
y=2x+3
-5=2(-4)+3
-5=-8+3
-5=-5
or
y=-x-9
-5=-(-4)-9
-5=-5
43 grams of copper and 7grams other metals in a birdhouse, 83 grams of copper and 17 grams of other metals. Which one has more copper?
Answer: cage I
Step-by-step explanation:
Given
43 gm of copper and 7 gram of other metal
Another cage has 83 gram of copper and 17 gm of other metals
Here, the percentage of copper is
For the first case
[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]
For the second case
[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]
So, the cage-I has more percentage of copper
Apples cost $1.99 per pound. How much do 314 pounds of apples cost? $ How much do x pounds of apples cost? $ Clare spent $5.17 on apples. How many pounds of apples did Clare buy? pounds
Answer:
1. $624.86
2. 1.99x
3. 2.6 pounds
Step-by-step explanation:
1. Multiply 1.99 by 314 to get 624.86
2. With the equation 1.99x, you can substitute any variable into it and it will hold true.
3. Divide 5.17 by 1.99, the price, and you get 2.597 pounds, which rounds to 2.6
Please help me please help me please please someone can please help me this is way too hard please please please please please please please someone please help me
Answer:1 0.05806644 2 64.3818067 m2 3 10.8696557 m2 4 80.2682266 m2 0.13935456 m2 and 15.7935168 m2
Step-by-step explanation: