Answer:
74
Step-by-step explanation:
The cube root of 74^3 will be 74. The cub and cube root cancel each other out.
Solve the following system of equations.
2x+y = 3
x=2y – 1
x=
y=
Answer:
y=1 x=1
Step-by-step explanation:
2x + y = 3
x = 2y - 1
.
It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
Answer:
Y =1
X =1
Good luck!!
For the function f defined by f(x) = x - 2, what is the value of f(7)? А 2 B 5 C 7 D 9
Answer:
f(7) =5
Step-by-step explanation:
f(x) = x - 2
f(7) means let x = 7
f(7) = 7-2
f(7) =5
Answer:
B. 5
Step-by-step explanation:
f(x) = x - 2 when x = 7
f(7) = 7 - 2
f(7) = 5
Best of Luck!
A triangle has a base of 4 inches and a height of 12 inches. What is the area of the triangle?
Answer:
48Step-by-step explanation:
u just multiply 12x4=48Answer:
The area of the triangle is 24.
A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *
Answer:
[tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 52[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 12, 16, 20, 24[/tex]
Solving (a): Write a formula
The above sequence shows an arithmetic progression
Hence:
The formula can be calculated using:
[tex]T_n = a + (n - 1) d[/tex]
In this case:
[tex]a = First\ Term = 12[/tex]
Difference (d) is difference of 2 successive terms
So:
[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]
[tex]d = 4[/tex]
Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]
[tex]T_n = 12 + (n - 1) * 4[/tex]
Open Bracket
[tex]T_n = 12 + 4n - 4[/tex]
Collect Like Terms
[tex]T_n = 12 - 4+ 4n[/tex]
[tex]T_n = 8+ 4n[/tex]
Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]
Solving (b): 11th term
This implies that n = 11
Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 8+ 4 * 11[/tex]
[tex]T_{11} = 8+ 44[/tex]
[tex]T_{11} = 52[/tex]
Answer:
A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].
B) The 11th term of the sequence is 62.
Step-by-step explanation:
A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:
[tex]f(n) = f(0) +r\cdot n[/tex] (1)
Where:
[tex]f(0)[/tex] - First value of the sequence, dimensionless.
[tex]r[/tex] - Arithmetic increase rate, dimensionless.
[tex]n[/tex] - Term of the value in the sequence, dimensionless.
If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:
[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]
B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:
[tex]f(10) = 12+4\cdot (10)[/tex]
[tex]f(10) = 62[/tex]
The 11th term of the sequence is 62.
Which value is a solution of the inequalityx∕5 + 2 ≤ 6?
A)
x = 49
B)
x = 15
C)
x = 37
D)
x = 21
Answer:
B
Step-by-step explanation
the answer comes to [tex]x\leq 20[/tex] and 15 is the only answer below 20
Answer:
B. x = 15
Step-by-step explanation:
Firstly we simplify the inequality, so we have x on the left side, and every number on the right side[tex]\frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2)[/tex] so we take away 2 on both sides[tex]\frac{x}{5}\leq 4[/tex] now this is the same as [tex]\frac{1}{5}*x\leq 4[/tex] Now we multiply by 5 on both sides [tex]5*\frac{1}{5}*x\leq 5*4[/tex] which is [tex]\frac{5}{5}*x \leq 20[/tex] which is simply [tex]x \leq 20[/tex] since 5 divide by 5 is 1 and 1 times x is xSo the inequality [tex]x \leq 20[/tex] means "every number for x that is less than or equal to 20"Now from the list, the only number that fits is 15. So that's our answerChristina scored 2,065 points by collecting 7 coins. After collecting a total of 8 coins, how many points will Christina have scored in all?
Answer:
2065 ÷ 7 = 295
295 × 8 = 2360
Christina will have scored 2,360 points.
What's greater -5/7 or -2/7
I think -2/7.
-2/7 is closer to 0 which is neither positive nor negative.
-5/7 is closer to a whole negative number.
Find the difference -1/8-(-6 7/8)
Answer:
The difference is 6 3/4
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
George the Pigeon travels the same distance of 72 miles
in 4 hours against the wind as he does traveling 3 hours
with the wind in the local skies. What is the speed of
George the Pigeon in still air and the speed of the wind?
Answer:
The speed of George the Pigeon in still air = 21 miles/hr
The speed of air = 3 miles/hr
Step-by-step explanation:
Let the speed of George the Pigeon in still air = [tex]u[/tex] miles/hr
Let the speed of air = [tex]v[/tex] miles/hr
Distance traveled = 72 miles
Relative speed against the wind = [tex](u-v)[/tex] miles/hr
Time taken against the wind = 4 hours
Relative speed with the wind = [tex](u+v)[/tex] miles/hr
Time taken against the wind = 3 hours
Using the formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
[tex]u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)[/tex]
[tex]u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)[/tex]
Adding (1) and (2):
[tex]2u=42\\\Rightarrow u = 21\ miles/hr[/tex]
By equation (1):
[tex]v = 21-18\\\Rightarrow v = 3\ miles/hr[/tex]
Therefore, the answer is:
The speed of George the Pigeon in still air = 21 miles/hr
The speed of air = 3 miles/hr
Y=-x-6 with slope graph Please help me answer this
Answer: the slope of the graph is -1
Step-by-step explanation: because x has a coefficient of negative 1 but if you wanted to graph this line, you have to be careful since you go down 1 unit and right 1unit. The line is descending since it has a negative slope so technically the slope is -1/1 but we can just say it’s -1
the ratio of potatoes to turnips is 1:1.if there are 473 potatoes how many turnips are there.
Answer:
473
Step-by-step explanation:
1:1
473:x
Cross Multiply
1x=473
Divide both sides by 1
x=473
Help me solve for the right one ?
I need help
Answer:
it should be B correct me if I'm rong
whats 10000x1? Im an ideot,
Answer:
10000
Step-by-step explanation:
LOL its ok :)
Answer:
10000
Step-by-step explanation:
When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.
:D
Brainliest?
Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3).
Answer:
y=4x−14
Step-by-step explanation:
solve for y.
y+2=4(x−3)
distribute 4
y+2=4x-12
subtract 2 from both sides
y+2+−2=4x−12+−2
y=4x−14
Answer:
y=4x−14
Luke was given a gift card for a coffee shop each morning Luke uses the card to buy one cup of coffee the original amount of money on the gift card was $30 and after buying 6 cups of coffee the card had $12 remaining balance write and equation for a in terms of X representing the amount of money remaining on the card after buying X cups of coffee
Answer:
30-6x=12
Step-by-step explanation:
30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)
hope this helps!!
PLEASE HELP ME OUT FASTTTTT
Answer:
1 more slice
Step-by-step explanation:
1/2 of the pizza would be 4 since (8÷2=4)
So since we need 4 pizza slices to be gone in order to make 1/2 of the pizza...
and since we know that there are three slices missing....
the equation for this is 8-3=5 and we can't have 5 we need 4 so we need 1 more slice to be eaten
Major League Baseball fans eat about 21 million hot dogs every season. There are a total of 2,430 games each season. About how many hot dogs are eaten at each game?
Answer:
About 8642
Step-by-step explanation:
21 mil/2430= 8641.97530864
Please answer this question!!
Answer:
12.25Step-by-step explanation:
It is easy to notice that:
QA=QB=QCAs per triangle congruence theorem (two congruent sides and a right angle)
Since:
QB = x + 9 and QC = 5x - 4We have
x + 9 = 5x - 45x - x = 9 + 44x = 13x = 13/4x = 3.25QA = QB = QC = 3.25 + 9 = 12.25
Ninety-nine is what percent of 150?
Answer:
66
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
What is the perimeter of a rectangle whose short sides are4 and long sides are3?
Answer:
Permimeter=14
Step-by-step explanation:
4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.
I need help please sorry it’s like that a camera and a screen don’t work good together
Answer:
The value of x = 20.05
Step-by-step explanation:
As we know that the sum of the angles in a triangle is 180°.
From the diagram, we can say that the sum of the angles A, B, and C must be 180°.
so the equation of the sum of the angles of a triangle will be:
[tex]A+B+C=180^{\circ }[/tex]
As
[tex]A=43\frac{1}{4}^{\circ }[/tex]
[tex]B=5x^{\circ }[/tex]
[tex]C^{\circ }=36.5^{\circ }[/tex]
Substituting the values in the equation of the sum of the angles of a triangle to find the value of x.
[tex]A+B+C=180^{\circ }[/tex]
[tex]43\frac{1}{4}+5x+36.5=180[/tex]
[tex]\frac{173}{4}+5x+36.5=180[/tex] ∵ [tex]43\frac{1}{4}=\frac{173}{4}[/tex]
Subtract [tex]\frac{173}{4}+36.5[/tex] from both sides
[tex]\frac{173}{4}+5x+36.5-\left(\frac{173}{4}+36.5\right)=180-\left(\frac{173}{4}+36.5\right)[/tex]
[tex]5x=100.25[/tex]
[tex]\frac{5x}{5}=\frac{100.25}{5}[/tex]
[tex]x=20.05[/tex]
Therefore, the value of x = 20.05
VERIFICATION:
[tex]A+B+C=180^{\circ }[/tex]
[tex]43\frac{1}{4}+5x+36.5=180[/tex]
[tex]43\frac{1}{4}+5\left(20.05\right)+36.5=180[/tex]
[tex]180=180[/tex]
Caleb bought 3 bagels and 2 muffins for $7.00.
Jonathan bought 2 bagels and 5 muffins for
$12.00. Find the cost of each bagel and each
muffin.
Answer:
Bagels= 1$ and Muffins= 2$
Step-by-step explanation:
if Caleb bought 3 bagels for 1$ each that is 3$ and 2 muffins for 2$ each is 4$ and 4+3=7$
if Jonathan bought 2 bagels for 1$ each that is 2$ and 5 muffins for 2$ each is 10$ and 10+2=12$
Find the reciprocal of 4/11
Answer:11/4
Step-by-step explanation: u have to just put it backwards
Does the ratio 15/12 and 5/4 form a proportion?
The answer is yes
Answer:
answer is c, I know because I took the test on edginuity
Solve for X. Send help please!!
Answer:
x=118
Step-by-step explanation:
180-62=118
hope it helps !
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
Find the slope of the line that passes through the given points.(-4, 7) and (-2, 8)
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (-2, 8)
Step 2: Find slope m
Substitute: [tex]m=\frac{8-7}{-2+4}[/tex]Subtract/Add: [tex]m=\frac{1}{2}[/tex]its a funny shape ;) but if you answer correctly ill give brainliest
Answer:
Rectangle
Step-by-step explanation:
What is 5 and 3/4 times 7 in fractions
Answer:[tex]\frac{161}{4}[/tex]
Step-by-step explanation:
George purchases a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates for $20. If a carton of dates costs twice as much as a sack of apples and the price of a cantaloupe is equal to the price of a sack of apples minus a bunch of bananas, how much would it cost George to purchase a bunch of bananas and a cantaloupe?
9514 1404 393
Answer:
$5
Step-by-step explanation:
Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:
A +B +C +D = 20
D = 2A
C = A -B
Substituting the last two equations into the first gives ...
A +B + (A -B) +2A = 20
4A = 20 . . . simplify
A = 5 . . . . . divide by 4
Substituting this into the last equation, we have ...
C = 5 -B
B + C = 5 . . . . add B
The cost to purchase a bunch of bananas and a cantaloupe is $5.