Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.
what’s the square root of 5 times the square root of 5 ??
Answer:
5
Step-by-step explanation:
Whenever you multiply square roots that have the same number inside the radicand, you get the number under the radicand. For example, the square root of 4 squared will equal four. Similarly, you are simply squaring the square root of 5, so you should get 5 as your answer.
if the sum of a term of an ap is 2n square + 5n then find the 4th term
Answer:
19
Step-by-step explanation
Let the sum of n terms of A.P. = Sn
¿Cuál es la intersección con el eje y de la gráfica de la ecuación? y = X 2 - 2 X + 3?
Answer:
1
Step-by-step explanation:
la respuesta sería un por que si multiplicas el 2 y luego más tres te da un resultado como uno
Answer:
Step-by-step explanation:
A lot is 50 m by 32 m. A house 27 m by 9 m is built on the lot. How much area is left over?
Answer:
1357 sq.m
Step-by-step explanation:
50*32= 1600
27*9= 243
Area left = 1600 - 243 = 1357
Maylin is mailing a package that has the
size shown below. What is the volume
of the package? Write the expression
you used to find the volume.
7 in.
Area of base:
54 in.2
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
answer this 2(3^2 + 4^2) = ?
Answer:
50
Step-by-step explanation:
2(3^2+4^2)=
3^2/(3x3) = 9
4^2/(4x4) = 16
9+16=25
so.... rewritten it is
2(25)= or 2 x 25= 50
On Novenber 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outstanding checks in the amounts of $105.50 and $158.10, deposits in transit amount to $605.27, account earnings of $68.51 and there is a service charge of $5.00. Determine the Adjusted Checkbook Balance and the Adjusted Statement Balance.
Answer:
The final answer is "$2387.85 and $2594.85".
Step-by-step explanation:
Given values:
The bank statement balance= $2,253.18
The checkbook balance = $2,324.34
outstanding check amounts= $105.50 and $158.10
transit amount= $605.27
account earnin(credits)= $68.51
service charge= $5.00
Adjusted Checkbook Balance =?
Adjusted Statement Balance=?
Adjusted the Checkbook Balance:
checkbook balance = $2,324.34
[tex]\text{total checkbook balance = checkbook balance+ credits}\\[/tex]
[tex]= \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85[/tex]
[tex]\text{ Adjust check book balance= total checkbook balance - servicec charge}[/tex]
[tex]= \$2392.85 - \$5.00\\\\= \$ 2387.85[/tex]
Adjusted the Statement Balance:
bank statement balance= $2,253.18
[tex]\text{total Statement balance = bank Statement balance+ transit amount}\\[/tex]
[tex]= \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45[/tex]
[tex]\text{outstanding check amounts = $105.50+ $158.10}[/tex]
[tex]= \$263.60[/tex]
[tex]\text{ Adjust statement balance= total statement balance - outstanding check amount }[/tex] [tex]= \$ 2,858.45 - \$263.60\\\\= $ 2,594.85[/tex]
25 POINTS -4(x+2) Plz help asap
Answer:
[tex] - 4x - 8[/tex]
Step-by-step explanation:
[tex] - 4(x + 2) = - 4x - 8[/tex]
Hope this helps ;) ❤❤❤
Answer: It's -4x- 8
Step-by-step explanation: Hope it hepls.
in the calculations shown, what will the units of the final answer be? 18 meters/second x 3600 secons/1 hour x 1 mile/ 1609meters A.meters/hour B. miles/second C. meters/second D.miles/hour
Answer:
D. miles/hour
Step-by-step explanation:
The units analysis tells you the units are ...
[tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]
Units of meters and seconds cancel, leaving miles/hour.
Please help me qwq In a reflection, what are corresponding angles?!
Answer: When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.
What is the value of w?
2/5 (w+5) = 4/5
Answer:
W = -3
Step-by-step explanation:
Answer:
w = - 3
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]
Multiply both sides by 5 to clear the fractions
2(w + 5) = 4 ( divide both sides by 2 )
w + 5 = 2 ( subtract 5 from both sides )
w = - 3
One positive number is 6 times another number. The difference between the two numbers is 205. Find the numbers. (Enter your answers as a comma-separated list.)
Answer:
Hence the positive numbers are 246, and 41
(246, 41)
Step-by-step explanation:
From the question,
One positive number is 6 times another numberLet the first positve number be [tex]x[/tex]
and the other number be [tex]y[/tex]
Hence,
[tex]x = 6y[/tex] ....... (1)
Also,
The difference between the two numbers is 205That is,
[tex]x - y =205[/tex] ........(2).
To solve for the two unknowns, substitute the value of [tex]x[/tex] in equation (1) into equation (2).
Since,
[tex]x = 6y[/tex]
Then
[tex]x - y =205[/tex] becomes
[tex](6y) - y =205\\[/tex]
Then,
[tex]6y - y = 205\\5y = 205\\[/tex]
Divide both sides by 5
[tex]\frac{5y}{5} = \frac{205}{5} \\ y = 41\\[/tex]
∴ the value of [tex]y[/tex] is 41
Now, substitute the value of y into equation (1) to find [tex]x[/tex]
Then,
[tex]x = 6y[/tex] becomes
[tex]x = 6(41)\\x = 246\\[/tex]
∴ the value of [tex]x[/tex] is 246
Hence the positive numbers are 246, and 41
(246, 41)
hi pls help urgent <3
Answer:
-548
Step-by-step explanation:
Let x be the number
Plug x in: x - -150 = -398Simplify: x + 150 = -398Subtract 150 from each side, so it now looks like this: x = -548I hope this helps!
-5x+7x+8=1+3x im am looking for what makes this equation true
Answer:
x=7
Step-by-step explanation:
Start with the left side
-5x+7x+8
combine like terms
2x+8=1+3x
subtract 2x from both sides to get 8=1+x
subtract 1 from both sides to get 7
put the variable on the left
x=7
Hope this helps :-)
En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.
Answer:
The difference between the greatest and the smallest angle of the triangle PBQ is 98°.
Step-by-step explanation:
The question is:
In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.
Solution:
Consider the triangle ABC.
The measure of angle A is:
angle A + angle B + angle C = 180°
angle A = 180° - angle B - angle C
= 180° - 72° - 64°
= 44°
It is provided that CD and BM are bisectors.
That:
angle BCP = angle PCH = 36°
angle CBQ = angle QBD = 32°
angle BHC = 90°
Compute the measure of angle HBC as follows:
angle HBC = 180° - angle BHC + angle BCH
= 180° - 90° - 72°
= 18°
Compute the measure of angle BPC as follows:
angle BPC = 180° - angle PCB + angle CBP
= 180° - 18° - 36°
= 126°
Then the measure of angle BPQ will be:
angle BPQ = 180° - angle BPC
= 180° - 126°
angle BPQ = 54°
Compute the measure of angle PBQ as follows:
angle PBQ = angle B - angle QBD - angle HBC
= 64° - 32° - 18°
angle PBQ = 14°
Compute the measure of angle BQP as follows:
angle BQP = 180° - angle PBQ - angle BPQ
= 180° - 14° - 54°
angle BQP = 112°
So, the greatest and the smallest angle of the triangle PBQ are:
angle BQP = 112°
angle PBQ = 14°
Compute the difference:
d = angle BQP - angle PBQ
= 112° - 14°
= 98°
Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.
30 seconds of 2.5 mins in percentage
Answer:
20%
Step-by-step explanation:
2.5 min =(60×2.5)sec=150 sec
30sec to 150sec=30×100/150=20%
Answer:
20 %
Step-by-step explanation:
2.5 mins = 150 sec
30 sec of 150 sec in % = 30/150 × 100
= 20 %
PLEASE ANSWER ASAP!!! THIS IS MY LAST OF POINTS PLEASEEE!!! Solve for X. 15=7x+3-5x X=_(simplify your answer)
I NEED HELP WITH THESE RNNNN!!!!!!!
Answer:
Step-by-step explanation:
WILL MARK BRAINLIEST
NEED HELP ASAP
Solve for x: 3/ 4 x+ 1 /4 =2x
Answer:
X=1/5
Step-by-step explanation:
Please see the attachment.
Answer:
Maybe? kinda confused
Step-by-step explanation:
3/4x+1/4=2x
-3/4 -3/4
x+1/4=1 1/4
-1/4 -1/4
x=1
-2x + 4x = -4 + 0
What is the answer?
Answer:
x = -2
Step-by-step explanation:
-2x + 4x = -4 + 0
2x = -4
2x/2 = -4/2
x = -2
Hope this helps.
Answer:
The answer is -2
Step-by-step explanation:
You add the 4x to the -2x to get 2x, then you add -4 to zero to get -4. You are then left with 2x=-4 meaning that x would be -2
Given that f(n) = 8n – 3 and g(n) = 3n - 10, evaluate the following functions with the indicated
values.
1. f(5) = 2. g(5) =
4. g(-4) =
5. f(0) =
6. g(0)=
7. f(1) =
8. g(1) =
Answer:
1. 37
2. 5
4. -22
5. -3
6. -10
7. 5
8. -7
Step-by-step explanation:
Given the functions:
[tex]f(n) = 8n - 3 \\g(n) = 3n - 10[/tex]
To find:
[tex]1. f(5) = ?\\2. g(5) =?\\4. g(-4) =?\\5. f(0) =?\\6. g(0)=?\\7. f(1) =?\\8. g(1) =?\\[/tex]
Solution:
Let us put the given values one by one in the functions [tex]f(n), g(n)[/tex] to find the various values required.
1. [tex]f(5)[/tex] means to replace the value of [tex]n[/tex] with 5 in [tex]f(n)[/tex]:
[tex]f(5) = 8\times 5 - 3 = \bold{37}[/tex]
2. [tex]g(5)[/tex] means to replace the value of [tex]n[/tex] with 5 in [tex]g(n)[/tex]:
[tex]g(5) = 3\times 5 - 10 = \bold{5}[/tex]
4. [tex]g(-4)[/tex] means to replace the value of [tex]n[/tex] with -4 in [tex]g(n)[/tex]:
[tex]g(-4) = 3\times -4 - 10 = \bold{-22}[/tex]
5. [tex]f(0)[/tex] means to replace the value of [tex]n[/tex] with 0 in [tex]f(n)[/tex]:
[tex]f(0) = 8\times 0 - 3 = \bold{-3}[/tex]
6. [tex]g(0)[/tex] means to replace the value of [tex]n[/tex] with 0 in [tex]g(n)[/tex]:
[tex]g(0) = 3\times 0 - 10 = \bold{-10}[/tex]
7. [tex]f(1)[/tex] means to replace the value of [tex]n[/tex] with 1 in [tex]f(n)[/tex]:
[tex]f(1) = 8\times 1 - 3 = \bold{5}[/tex]
8. [tex]g(1)[/tex] means to replace the value of [tex]n[/tex] with 1 in [tex]g(n)[/tex]:
[tex]g(1) = 3\times 1 - 10 = \bold{-7}[/tex]
the tripled product of 12 and a number is 102. what is the number
Answer:
Another number is 28
Step-by-step explanation:
Given:
Number = 12
Another number = x
The tripled product = 120
Find:
Number
Computation:
3(x + 12) = 120
x + 12 = 40
x = 40 - 12
x = 28
Another number is 28
*PLEASE ANSWER, DIFFICULT QUESTION, ASAP* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
a.)0.2
b.)0.45
c.)0.4
d.)0.35
Answer:
What was it?
Step-by-step explanation:
what is 1.5g - 10 + 6.5g - 3 simplified?
The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
Subtraction = Minus of any two or more numbers with each other called subtraction.
As per the given,
1.5g - 10 + 6.5g - 3
Bring near of likely terms,
1.5g + 6.5g - 10 - 3 = 8g - 13
Hence "The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Enter the sum of numbers as a product of their GCF. 75 + 30 The sum of the numbers as a product of their GCF is
Answer: 75+30 = 15 x 7
Step-by-step explanation:
The given expression is 75+30 (=105) which defines the sum of 75 and 30.
Prime factorization of 75 and 30 are as below:
75 = 5 x 5 x 3
30 = 5 x 3 x 2
GCD (75,30) = 5x 3 = 15 [Note: GCD = Greatest common divisor]
Consider 75+30 = (15 x 5) + (15 x 2) [75 = 15 x 5 and 30= 15 x 2]
= 15 (5+2) [taking 15 as common ]
= 15 x (7)
(=105)
So, 75+30 which is sum of the numbers and it is expressed as 15 x 7 which a product of their GCF.
Simplify 24y^7z^3/6yz^6
Answer: 24x^6e^4/7ry^3
Step-by-step explanation:
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
plot two points and draw a line through them
Step-by-step explanation:
The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.
Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.
For b=0, the point is (b, C) = (0, 4.95)
For b=5, the point is (b, C) = (5, 24.90)
The graph might look like the attached.
_____
For b=5, the equation gives ...
C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a total of $402. The system of equations below can be used to find c the cost in dollars of a cake and P the cost in dollars of a pie. What is the price of a cake?
Answer:
The price of the cake is $24 and the price of the Pie is $15
Step-by-step explanation:
Given
Represent price of Cake with C and Price of Pie with P
[tex]C = 9 + P[/tex]
Cakes sold = 8
Pies sold = 14
[tex]Total = \$402[/tex]
Required
Determine C and P
To represent the cakes and pies sold, we have the following expression
[tex]8C + 14P = 402[/tex]
Substitute 9 + P for C
[tex]8(9+P) + 14P = 402[/tex]
Open the bracket
[tex]72 + 8P + 14P = 402[/tex]
Collect Like Terms
[tex]8P + 14P = 402 - 72[/tex]
[tex]22P= 330[/tex]
Divide both sides by 22
[tex]P = \frac{330}{22}[/tex]
[tex]P = 15[/tex]
Recall that
[tex]C = 9 + P[/tex]
[tex]C = 9 + 15[/tex]
[tex]C = 24[/tex]
Hence, the price of the cake is $24 and the price of the Pie is $15
mZAOB = 6x- 12°
mZBOC = 3x+ 30°
Find mZAOB:
Answer:
36°
Step-by-step explanation:
I’m assuming <AOC is a right angle.
6x-12+3x+30=90
9x+18=90
9x=90-18
9x=72
x=8
<AOB=6x-12=6*8-12=48-12=36°
The number of books Jason reads each week is inversely proportional to the number of hours he spends with his friends if Jason read three books and spent four hours with his friends one week how many books does he read during the week in which he spent six hours with his friends
Answer:
Number of books= 2 books
Step-by-step explanation:
number of books Jason reads each week is inversely proportional to the number of hours
Let books be x
Let hours be y
X= k/y
Where k is constant of proportionality
Jason read three books and spent four hours
3= k/4
3*4= k
12= k
So
X= 12/y
If he spent six hours
Number of books x
X= 12/6
X= 2 books