Answer:
5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters
Colton gave out a survey to some students in his school about their favorite color. 470 of those surveyed said their favorite color was blue. If 94% of the students surveyed said their favorite color was blue, how many students were surveyed in total?
Answer:
500
Step-by-step explanation:
Convert percent to decimal:
94%=
100
94
=0.94
Move decimal 2 places to the left
Multiplying the decimal by the whole gives us the part:
0.94x=
0.94x=
470
0.94
0.94x = 0.94
470
Divide both sides by 0.94x=
500
What is a formula for the nth term of the given sequence? 48, 72, 108
Answer:
[tex]a_n=48*1.5^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequence
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:
[tex]r=\frac{72}{48}=1.5[/tex]
To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:
[tex]a_n=a_1*r^{n-1}[/tex]
Where a1=48 and r=1.5
[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]
For example, to find the 5th term:
[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]
Find the area and perimeter of this shape.
PLEASE show step-by-step.
Answer:
52 ft.
Step-by-step explanation:
there are 8 side that are 3 ft: 3×8=24
there are 4 sides that are 7 ft: 7×4=28
add it and you get: 24+28= 52
The area and perimeter of this shape are 133 ft² and 52 ft respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Given that, a figure we need to find its perimeter and the area,
The figure we will be divided into 4 rectangles with sides 7 ft and 3 ft and a square, with side 7 ft
So, the area of the square = side²
= 7² ft²
= 49 ft²
Now, the area of a rectangle = length x width = 4 x 3 x 7 [since there are 4 rectangles]
= 4 x 3 x 7 = 84 ft²
The whole area = 84 + 49 = 133 ft²
Now, the perimeter = sum of the sides = 7 x 4 + 3 x 8 = 28 + 24 = 52 ft
Hence, the area and perimeter of this shape are 133 ft² and 52 ft respectively.
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Solve for x
What is the measure of the very top angle? (4x-8)
What is the measure of the side angle? (3x-5)
Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.
Answer:
Football player= -5
Number line= -23
Step-by-step explanation:
Loss means negative
Left on a number line is subtraction
182632929236+188274739393974473
Answer:
the answer id
188274922026903709
Answer:
Exact Form: 188274922026903709
Decimal Form: 1.88274922*10^17
Step-by-step explanation:
If you have 40.495 / 1,000,000 - 4,000+ 6,000,900
...................
what
what is -2k + (-4k) + 5
What is 6/-1 expressed as an integer?
Answer:
-6
Step-by-step explanation:
A cable company charges $150 to install equipment. Then there is a $50
charge each month. Write an equation to express this relationship.
Answer:
Need help with this to
Step-by-step explanation:
What is the total price of 2.6 pounds of pears at 90 cent per pound?
Answer:
It would be $2.34
Step-by-step explanation:
2.6x90=234 but in this case it is money so add a decimal
“z varies jointly as x and y”
1. Translate into variation statement
2. Ifz=36whenx=3andy=2,findk.
3. xis4wheny=3andz=2.Whatiszifx=8and y=6.
The area a of a triangle varies jointly as its base b and height h.
4. Express the relation as a variation statement.
5. Iftheareais15cm2whenthebaseis5cmandtheheightis6cm,
find k.
6. Ifa=65cm2whenb=10cmandh=13cm,findawhen b=8cm
and h = 11 cm.
________________________________________________________________
Answer:
urdykdgjjdtdgdmgkgdzkyjt
Answer:
1. z=kxy
2. 36=k(3)(2)
k=6 is the answer
3. 2=k(4)(3)
k= -6 is the answer
z=kxy z=(-6)(8)(6)
z= -288 is the answer
you always remember that the formula we should use is z=kxy
Is the equation y = x3 - 2 a linear equation?
Answer:
Not linear
Find the degree of the equation to determine if linear.
In the ordered pair below, which number represents "x", the input? (3, 5) A B 3 5
Answer:
i believe 3 would be your answer (x,y)
Step-by-step explanation:
1.5(x +4) - 3 = 4.5 (x - 2)
Answer:
Step-by-step explanation:
x-4
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
Distribute;
1.5x + 6 - 3 = 4.5x - 9
Collect like terms;
1.5x + 3 = 4.5x - 9
Subtract 1.5x from both sides;
3 = 3x - 9
Add 9 to both sides;
12 = 3x
Divide both sides by 3;
x = 4
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer: 3
Step-by-step explanation:
*Slope formula*
Y2 - Y1 / X2 - X1
-1 - (5) / -2 - (0) = -6/-2 = 3
The graph shows the number of miles you and a friend run each week while training for a race.
Answer: 4 miles
Step-by-step explanation:
what is 9741 divided by 45
Answer:
216.466666667
Step-by-step explanation:
I NEED HLPE BAJSBFJFHF
Answer:
a. 16
Step-by-step explanation:
Consider these 3 values.
[tex] \sqrt{16} \\ \sqrt{27} \\ \sqrt{35} [/tex]
Factor 16,27 and 35.
[tex] \sqrt{4 \times 4} \\ \sqrt{3 \times 3 \times 3} \\ \sqrt{3 \times 3 \times 5} [/tex]
Pull out two same numbers out of the root.
[tex]4 \\ 3 \sqrt{3} \\ 3 \sqrt{5} [/tex]
Rational only when there are no square roots after simplify/evaluating.
Thus a. 16 is only rational here.
Please help me ^^ This is due tomorrow
Which equation best represents the line on
the graph?
3
y
B.
-
A. y--3-4
y
-x-4
C. y ---4
D. y-r+4
Answer:
B. y=3/2x - 4
Step-by-step explanation:
As you see in the graph the y intercept was lying on -4 and you rise 3 time and run 2 time to get to your next point.
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is blue?
Write your answer as a fraction in simplest form.
Answer:
1/2
Step-by-step explanation:
We know the total amount of marbles in the bag, 6. Now, we need to make a fraction, there are 3 blue marbles, so our fraction is 3/6. This can be simplified to 1/2.
The required probability of the blue marble in the bag is 1 / 3.
Given that,
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random, what is the probability that it is blue is to be determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
here,
Total number of marble in the bag = 6
Total number of blue marble in the bag = 2
Probability of the blue marble in the bag = 2 / 6 = 1 / 3
Thus, the required probability of the blue marble in the bag is 1 / 3.
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2 3/4 ÷ 3 2/3 ⋅ 3 3/4 ÷ 2 1/2
Answer:
2 3\4 divided bu 3 2\3 = 3\4 3 3\4 divieded by 2 1\2= 1 1\2
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression
30 points and Brainly if answer is right
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
2x+3y=4 y+3x=6
find x and y
Answer:
x=-3/2y+2
y= y=−3x+6
Step-by-step explanation:
solve for x.
2x+3y=4
Add -3y to both sides.
2x+3y+−3y=4+−3y
2x=−3y+4
Divide both sides by 2.
2x/2= -3+4/2
x= -3/2 y+2
solve for y.
y+3x=6
Add -3x to both sides.
3x+y+−3x=6+−3x
y=−3x+6
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
Answer:
';
lk;j
Step-by-step explanation:
uhh
12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=
Answer:
3x³
Step-by-step explanation:
Given the expression
12x^5 =(4x^2 )(C)
We are to find the value of C
Rewriting the equation will give;
(4×3)x²•x³ = 4x²C
4x²•3x³ = 4x²C
Divide both sides by 4x²
4x²•3x³/4x² = 4x²C/4x²
3x³= C
Hence the function C is 3x³