A heel travels 850 miles in 28 gallons of gas. How many miles does it travel in one gallon of gas
Answer:
850/28=30 miles a gallon
Step-by-step explanation:
mark as brainlist
is Catholic Schools bad?
Answer:
Not really。。
Step-by-step explanation:
this school had remained excellent。students grduating from these school have higher ACT scores
HELPPP
A. X=20, y=10
B. X=15, y=8
C. X=20, y=12
D. X=15, y=12
Answer:
Step-by-step explanation:
If this is a parallelogram, then opposite sides are congruent and opposite angles are congruent. That means that
2y + 8 = 3y - 4 and
3x + 25 = 5x - 5
We'll solve that first equation for y:
-y = -12 so
y = 12 Now onto x:
-2x = -30 so
x = 15
Choice d is the one you want.
Need help on this question asap pleasee
Answer:
option c is correct ,,,,,,Divisor mayor común de 28 y 48
Answer:
mcd(28,48) = 4
Para encontrar el mcd de 28 y 48:
Los factores de 28 son 28, 14, 7, 4, 2, 1.
Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.
Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.
En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.
Por lo tanto, el máximo común divisor de 28 y 48 es 4.
This afternoon Zoe left school, rode the bus 11/12 of a mile, and then walked 1/12 of a mile to get home. How much farther did Zoe ride than walk?
Write your answer as a fraction or as a whole or mixed number.
Answer:
Zoe rode [tex]\frac{5}{6}[/tex] of a mile more than she walked.
Step-by-step explanation:
[tex]\frac{11}{12}-\frac{1}{12} =\frac{5}{6}[/tex]
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.
Given:
Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.
To find:
The length of a side of the water tank.
Solution:
The volume of a cubical tank is:
[tex]V=a^3[/tex]
Where, a is the side length.
It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,
[tex]a^3=\dfrac{1000}{125}[/tex]
[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{10}{5}[/tex]
[tex]a=2[/tex]
Therefore, the length of a side of the water tank is 2 meters.
Use the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9
Answer:
45 x 56=
2520 and
5 x 7=35*8=280*9=2520
2520=2520
Hope This Helps!!!
I have another question I'm struggling with. How do I solve to find the missing angle?
Answer:
[tex]23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) [/tex]
Evaluate i^15 i^12
Show work
Answer: 15 = -i & 12=1
use the pattern : i, -1, -i, 1
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex]
[tex]i^{3}[/tex] = [tex]\sqrt{-1}[/tex]
[tex]i^{4}[/tex] = [tex]\sqrt{-1}[/tex]
the pattern just repeats from here
5 = i
6 = -1
7 = -i
8 = 1
9 = i
10 = -1
11 = -i
12 = 1
13 = i
14 = -1
15 = -i
16 = 1
Which choice is equivalent to the product below for acceptable values of X?
Vx+2 • Vx-2
Answer:
The answer is D.
Step-by-step explanation:
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
a-b divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]
the reason is that the (a-b) vs (a+b) in the "SOAP"
same, opposite, always a plus the "-" in the "a-b" has to match the
sign between the two cubes
Step-by-step explanation:
Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)
Given:
[tex]u=(-1,4)[/tex]
[tex]v=(3,-2)[/tex]
The equation is:
[tex]t=u+v[/tex]
To find:
The ordered pair to represent t in the given equation.
Solution:
We have,
[tex]t=u+v[/tex]
Substituting the given values, we get
[tex]t=(-1,4)+(3,-2)[/tex]
[tex]t=((-1)+3,4+(-2))[/tex]
[tex]t=(-1+3,4-2)[/tex]
[tex]t=(2,2)[/tex]
Therefore, the ordered pair to represent t in the given equation is (2,2).
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]
The volume of a cone is 329.6 cubic inches, and the height is 5.4 inches. Which of the following is the closest to the radius r of the cone, in inches?
Answer:
329.6=1/3×16.97r
5.66r=329.6/÷5.66
r=58.23
Question 5 (Multiple Choice Worth 4 points)
(02.07)Two similar triangles are shown below:
5
6
2.5
9
4
Which two sets of angles are corresponding angles?
O
Answer: ∠p and ∠s, ∠q and ∠r
Step-by-step explanation:
From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.
The sets of angles are corresponding angles are; ∠p and ∠s, ∠q and ∠r
What are corresponding angles?It can be defined as, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.
From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.
We can conclude the sets of angles that are corresponding angles;
∠p and ∠s, ∠q and ∠r
Learn more about angles here:
https://brainly.com/question/2882938
#SPJ1
A point P(3, k) is first transformed by E¹[0, 2] and then by E²[0,3/2] so that the final image is (9, 12), find the value of k.
Hello,
The first transform E1 is the homothetie of center (0,0) and ratio=2
The second transform E2 is the homothetie of center (0,0) and ratio=3/2
P=(3,k)
P'=E1(P)= E1((3,k))=(2*3,2*k)=(6,2k)
P''=E2(P')=E2(6,2k)=(3/2*6,3/2*2*k)=(9,3k)=(9,12)
==> 3k=12
k=4
plz help me with this
0
Step-by-step explanation:
maybe
Answer:
1) 0 miles
2) (0,0)
3) the cars speed is missing? 3 * speed would be this answer
4) (3, "3*speed" ) something like (3,30) if car was going 10mph
Step-by-step explanation:
A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.
Answer:
See Explanation
Step-by-step explanation:
Given
Let
[tex]S \to[/tex] Strawberry
[tex]B \to[/tex] Banana
[tex]S : B = 2 : 3[/tex]
Solving (a):
Complete the table
The table, to be complete, is not given; so, I will generate one myself.
[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]
The table is generated as follows:
[tex]S : B = 2 : 3[/tex]
Multiply by 1.5
[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]
[tex]S : B = 3 : 4.5[/tex]
Multiply by 2
[tex]S : B = 2*2 : 3*2[/tex]
[tex]S : B = 4 : 6[/tex]
And so on....
In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant
Solving (b): Why the amount are proportion
Because the ratio is constant and it remains unchanged all through.
the area of the rectangle is 48cm^2
show that x satisfies the equation x^2 + 7x -78 = 0
Answer:
No its doesn't satisfy the equation.
[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]
help me please i need this right now !!
Answer:
The first choice.
Step-by-step explanation:
3(x + 2) is equal to 3 * x + 3 * 2.
Simplify that, and you would get 3x + 6.
Answer:
A. or 3(x+2) = 3x + 6
Step-by-step explanation:
A. 3(x+2) = 3(x) + 3(2)
= 3x + 6
Which is correct!.
B. x^2 is nowhere to be found.
C. Doesn't distribute the 3 into the 2 properly.
D. Doesn't distribute the -3 into the x properly.
The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for instructing 15 students on Monday afternoon. Last Friday, she earned $62 for working with 8 students. Lisa is also a skating instructor. She receives half the base amount that Mary does, but she is paid twice as much per student. Who would earn more money instructing a class of 20 students?
answer choice
1. 120
2. 65
3. 15
4. 10
Answer:
ok so lets divide 90 by 15 to get 6 so she gets paid 6 per student and that means lisa gets paid 12 so lets just multiply
6*20=120 so mary gets paid 120
and lisa gets paid doable that so 420
but i don't know there base pay so the i can't answer this problem
Hope This Helps!!!
PLEASE HELP DESPERATE
tan=sin/cos so tan=3/5/4/5=3/4
Answer:
SOH CAH TOA
3/5 opposite over hypotenuse
4/5 adjasent over hypotenuse
tan= opposite over adjasent which is 3/4
Step-by-step explanation:
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
o
A. y - (x - 1)(x+3)
B. y - (x + 1)(x+3)
O
C. y = (x - 1)(x-3)
Answer:
c: y=(x-1)(x-3)
Step-by-step explanation:
Find the value of x.
16.2
0.03
38.5
34.8
Hi there!
[tex]\large\boxed{x = 38.5}}[/tex]
To solve, we can use right triangle trig.
We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:
tan (A) = O / A
tan (33) = 25 / x
Solve:
x · tan(33) = 25
x = 38.49 ≈ 38.5
Solve |x - 5| = 7 ......
Answer:
12,-2
Step-by-step explanation:
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
A new school has x day students and y boarding students.
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720 000 a term.
Show that this information can be written as x + 2y ≥ 1200.
Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as [tex]x + 2y\geq 1200[/tex].
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are [tex]\$600[/tex] a term.
So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.
The fees for a boarding student are [tex]\$1200[/tex] a term.
The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.
Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:
[tex]\text{Total fees}=600x+1200y[/tex]
The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.
[tex]600x+1200y\geq 720000[/tex]
[tex]600(x+2y)\geq 720000[/tex]
Divide both sides by 600.
[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]
[tex]x+2y\geq 1200[/tex]
Hence proved.
please help ASAP
-
-
-
-
Answer:
The answer is A.
How I got it:
Formula of finding a triangle: 1/2 bh.
In this case, the base is R and the Height is X.
1/2rx.
If g(x) = 2 |x| − 1, what is g(−2.3)?
Answer:
g(-2.3) = 3.6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = 2|x| - 1
Step 2: Evaluate
Substitute in x [Function g(x)]: g(-2.3) = 2|-2.3| - 1Absolute values: g(-2.3) = 2(2.3) - 1Multiply: g(-2.3) = 4.6 - 1Subtract: g(-2.3) = 3.6