Find the distance of each trip:
68 km / 34 trips = 2 km per trip
Divide total distance by distance per trip:
348 km / 2 km per trip = 174 trips
Answer: 174 trips
Translate this word problem as a system of equations and then solve using substitution.
The sum of two numbers is 84. One number is three times the other. Find the numbers.
Put your answer in this form:
The numbers are 3 and 6.
Answer:
The numbers are 21 and 63
Step-by-step explanation:
let one number be x
let the other number be 3 times the other = 3x
3x + x = 84
4x = 84
x = 21
3x = 3×21 = 63
write an equation for the sentence: the sum of six and twice a number is equal to sixteen minus the number.
URGENT! ONLY HAVE 5 MINUTES!
Answer:
6+2x=16-x.
Step-by-step explanation:
X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.
A scale model of a sculpture has a scale of 2:49.
The height of the model is 24 cm.
Find the height of the actual sculpture.
Give your answer in m.
Answer:
ok so if the scale is 2:49 that can be simplified as 1:98
so that means the real one is 98 times bigger then 24
98*24= 2352 cm or 196 feet
wich is a solution to (x-3)(x+9)=-27?
Answer:
=0=−6
Step-by-step explanation:
Consider the graph of the function f(x) =
= 10^x
What is the y-intercept of function gif g(x)
=4f(x) + 12
Answer:
(0,8)
Step-by-step explanation:
Let X be 0 and solve for Y to get the intercept
y= - 4([tex]10^{x}[/tex]) + 12
y= - 4 * [tex]10x^{0}[/tex] + 12
y= - 4 * 1 + 12
y= - 4 + 12
y=8
when x=0, y=8
(0,8) is y intercept
The y-intercept of the given function is (0,8).
We have given that,
The graph of the function f(x) = 10^x
The y-intercept of function gif g(x)=4f(x) + 12
What is the intercept?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Let X be 0 and solve for Y to get the intercept
[tex]y= - 4(10^x) + 12[/tex]
[tex]y= - 4 (10^0) + 12[/tex]
[tex]y= - 4 * 1 + 12[/tex]
[tex]y= - 4 + 12[/tex]
[tex]y=8[/tex]
when x=0, y=8
The y-intercept of the given function is (0,8).
To learn more about the intercept visit:
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Solve for w.
5W + 9z = 2z + 3w
w=-7/2 z
w=-2/7 z
w=-2z
w= -7z
Answer:
w = - [tex]\frac{7}{2}[/tex] z
Step-by-step explanation:
Given
5w + 9z = 2z + 3w ( subtract 3w from both sides )
2w + 9z = 2z ( subtract 9z from both sides )
2w = - 7z ( divide both sides by 2 )
w = - [tex]\frac{7}{2}[/tex] z
Answer:
w = -7/2z
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
5w + 9z = 2z + 3w
Step 2: Solve for w
[Subtraction Property of Equality] Subtract 3w on both sides: 2w + 9z = 2z[Subtraction Property of Equality] Subtract 9z on both sides: 2w = -7z[Division Property of Equality] Divide 2 on both sides: w = -7/2zP(x,y) is a point on the Cartesian plane such that 4x+7<-3 and 5-3y_>11. In which quadrant does the point P lie? Show your working
Answer:
3rd quadrant.
Step-by-step explanation:
We know that
4x + 7 < -3
5 - 3*y ≥ 11
We should isolate both of the variables in these inequalities:
for the first one we get:
4x + 7 < - 3
4x < -3 - 7
4x < -10
x < -10/4
So x is smaller than a negative number, then we know that x is negative, from this we already know that the point will be on quadrants 2 or 3.
For the other inequality we get:
5 - 3*y ≥ 11
5 - 11 ≥ 3y
-6 ≥ 3y
-6/3 ≥ y
-2 ≥ y
So we can see that y is equal to or smaller than a negative number, then y is a negative number.
So both values, x and y, are negatives.
This means that the point P(x, y) is in the 3rd quadrant.
PLEASE HELP!!!! it’s very urgent due in 10 minutes please help ASAP!
Answer:
s is bigger than m because m is small
what is equivalent to 64 1/4
help plz I’m stuckkkk
The "is" means "equals"
So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.
Continue the number pattern for the next three terms 1,8,27.....,........,..........
Answer:
64, 125, 216
Step-by-step explanation:
1, 8, and 27 are perfect cubes, i.e., each is the cube of an integer, and they're perfect cubes of consecutive positive integers:
1 = 1³ = 1×1×1
8 = 2³
27 = 3³
Therefore, the next three-term numbers of the given sequence are:
64 = 4³
125 = 5³ and
216 = 6³
Therefore, the final sequence will look like this:
1, 8, 27, 64, 125, 216
Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Luego el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María y finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500. ¿Cuál es el saldo de su cuenta?
Answer:
El saldo de la cuenta de Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.
Step-by-step explanation:
Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Para saber la cantidad de dinero que posee en su cuenta luego de retirar el dinero debes realizar la diferencia (resta) entre lo que tiene inicialmente y la cantidad que retira:
$30.000 - $18.000= $12.000
Ahora el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María, por lo que debe restarse la mencionada cantidad a la suma de dinero que Ana María posee luego del retiro de dinero [un cheque con cargo a la cuenta de una persona indica que para el titular de la misma significa una salida de fondos, y por tanto, una disminución de su saldo]:
$12.000 - $26.000= - $14.000
Finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500, por lo que se debe realizar la diferencia entre la cantidad calculada previamente y $2.500:
- $14.000 - $2.500= -$16.500
El saldo de la cuenta de Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.
2+2-2-5+5+6+4+8-2+47+28
Answer:
93
Step-by-step explanation:
So, you basically basic math it, or calculator.
4g+1 5 − G−7 4 = 2g−5 10
11. Kevin is comparing job offers at two stores.
Dollar Deal offers $8/h plus 10% commission.
Great Discounts offers $18/h with no
commission. What do Kevin's weekly sales
need to be in order for Dollar Deal to pay
more? Assume that he works an 8-h day five
days per week.
Answer:
Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.
Step-by-step explanation:
Dollar Deal offers $8/h plus 10% commission.
If he spends x hours, then offer after x hours and s amount from sales is;
8x + 10%s
This can be rewritten as; 8x + 0.1s
Now, Great Discounts offers $18/h with no commission.
Thus after 8 hours for 5 days, total number of hours = 40 hours.
Thus, great discounts offer = 18 × 40 = $720
Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s
Thus, for dollar deal to pay more weekly, then;
320 + 0.1s > 720
0.1s > 720 - 320
0.1s > 400
s > 400/0.1
s > 4000
Which relation is a function?
14. Mr. Crain wants to decorate his door for
the first day of school. The door is 7 feet
tall and 3 feet wide. How many square feet
of paper will Mr. Crain need to cover the
door before he decorates it?
What is the measure of EGF?
What is the measure of CGF?
Answer:
65 degree, 15 degree
Step-by-step explanation:
In triangle GEF,
∠E = ∠G (Given)
Let's say,
∠E = ∠G = x
∠E + ∠G + ∠F = 180 (Angle sum property of Triangle)
=>x + x + ∠F = 180
=>2x + ∠F = 180
=>2x + 50 = 180
=>2x = 180-50
=> 2x =130
=> x = 130/2
=> x = 65
=>∠E = ∠G = 65
=>∠GEF = ∠EGF = 65 Degree
∠EGF + ∠CGF = 180
=>65 + ∠CGF =180
=>∠CGF = 180 - 65
=> ∠CGF = 15
Help me please I’m gonna cry finals i have 15 min left please I gave u all my points
3 questions
Answer:
Your just now have finals ?
Step-by-step explanation:
Ay, good luck tho homie !
The width of a rectangle is 6 units less than the length. The area of the rectangle is 16 units. What is the length, in units, of the rectangle?
length=8 units
Step-by-step explanation:
LET,A=16 unitsL=a unitsB=a-6 unitsL*B=AReplacing value of L with 'a'. and B with 'a-6',a(a-6)=16a*a-a*6=16a^2-6a=16a^2-6a-16=0a^2-8a+2a-16=0a(a-8)+2(a-8)=0(a-8)(a+2)=0Either,. a-8=0first value a=8Or,. a+2=0second value a=-2(Rejected due to negative)therefore, a=L=8Length=8 unitsCondense the expression into a
single logarithm and simplify.
log26 - log24
Step-by-step explanation:
this is solved like this
[tex] log_{3}(6) \: - log_{3}(4) \\ = log_{3}( \frac{6}{4} ) \\ = log_{3}( \frac{3}{2} ) \\ = log_{3}(1.5) \\ [/tex]
Someone help please!!!
Answer:
10%
Step-by-step explanation:
if the total hours of sports being played is 50 hours, and the time playing soccer is 5 hours, you just divide 5 by 50 (technically will be .1, but to make it a percent you multiply by 100)
Rena has 30 tickets for the baseball game. She gives 8 tickets to Tariq and 10 tickets to Marita. Which set of equations could be used to represent how many tickets Rena should have left after she gives away the tickets to Tariq and Marita?
A. 8 + 10 = 18
30 - 18 = y
B. 30 + 8 = 38
38 - y = 18
C. 30 - 10 = 20
20 + 8 = y
D. 30 - 12 = 18
18 - y = 10
Parrel lines and angles how do I do this one
Answer:
Step-by-step explanation:
if two lines are parallel and a transversal cuts it,then corresponding angles are equal.
?=130°(corresponding angles)
Simplify this equation (3-2)4
Answer:
C= 1/3^8
Step-by-step explanation:
3^-2×4
3^-8
1/3^8
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answer:
0.00045 [tex]m^{3}[/tex]
Step-by-step explanation:
450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]
1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]
= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]
Answer:
450 (cm*3) = 0,00045 (m*3)
Step-by-step explanation:
21.For an oxidation reaction, the temperature T required is warmer than 50°C. Complete the following inequality by dragging the correct symbol to the box.
a. <
b. >
c. ≤
d. ≥
T __ 50°C
WHAT SYMBOL FILLS OUT THE UNDERSCORE ?!
2 brothers are 1m 60 cm and 1m 44cm tall. What is their ratio of their height
Answer: 10:9
Step-by-step explanation:
brother 1- 1m 60cm
brother 2- 1m 44cm
_________________________________________________________
the ratio would be brother 1 : brother 2 => 1m 60cm : 1m 44cm
_________________________________________________________
convert both the values to cm
1m = 100cm
brother 1 would be 100cm + 60cm or 160cm
brother 2 would be 100cm + 44cm or 144cm
_________________________________________________________
[tex]\frac{160}{144} = \frac{10}{9}[/tex] when simplified
the ratio of brother 1 to brother 2 would be 10:9
An electric blender has a price of $240 after import duty is added to the cost price.What is the cost price of the blender if import duty is 20%?
Answer:
$200
Step-by-step explanation:
Given :
Cost of blender + import duty = $240
Import duty = 20% of cost price
Let :
Cost of blender = x
Import duty = 20% of x = 0.2x
Therefore,
x + 0.2x = $240
1.2x = 240
x = 240 / 1.2
x = $200
Cost of blender = $200
Find the volume of the composite figure. Round to the nearest hundredth. NO LINKS PLEASE.
Answer:
b. 113.04 ft³
Step-by-step explanation:
To find the volume of this composite figure, we must find the volumes of the shapes it is composed of. After finding the volumes, add the volumes.
This figure is composed of a circular cone and a cylinder.
To find the volume of a cylinder, multiply the radius by itself twice, then multiply the product pi, lastly multiply the product by its height.
[tex]v=\pi *r^2*h[/tex]
To find the volume of a circular cone, multiply the radius by itself twice, then multiply the product by the height, then multiply the product by pi, lastly multiply the product by 1/3.
[tex]v=1/3*h*\pi* r^2[/tex]
Now that we know the formulas, we can find the volume of this figure.
----------------------------------------------------------------------
The height of the cylinder is 3 feet. The radius is 3 feet as well.
Remember: 3.14 will be used for pi (π).
[tex]v=\pi *3^2*3=84.78[/tex]
The volume of the cylinder is 84.78 feet.
----------------------------------------------------------------------
Further more, we find the volume of the circular cone.
The height of the cone is 3 feet. The radius is 3 feet as well.
[tex]v=1/3*3*\pi *3^2=28.26[/tex]
Lastly, we add the volumes of both shapes.
[tex](84.78+28.26)[/tex]
[tex]=113.04.[/tex]
113.04 does not need to be rounded to the nearest hundredth.
----------------------------------------------------------------------
Therefore, the volume of this composite figure is 113.04 ft.