Answer:
Step-by-step explanation:
Summer School 2020 Math 8 NWLSD
TUWW
Oriya
Mr. Williamson bought 4 boxes of chewy granola bars and 5 boxes of crunchy granola bars. Each box contained the
same number of granola bars. He took all 72 granola bars to the class picnic. How many granola bars were in each
box?
Let x represent the number of granola bars in each box.
Step 1: Write an equation.
Step 2: Identify and combine like terms.
Step 3: Use the properties of equality and inverse operations to solve the equation.
Done
Intro
DODO
Answer:
8 granola bars in each box
Step-by-step explanation:
The equation is 4x+5x=72
4x and 5x are like terms, so combine those 9x=72
Use the division property of equality to solve for x, x=8
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =
Answer:
[tex]A(x) = 12000(1.04)^x[/tex]
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$12000 cash
This means that [tex]P = 12000[/tex]
Compounded at 4% interest annually.
This means that [tex]r = 0.04, n = 1[/tex]
What equation will calculate the value in x years?
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]
[tex]A(x) = 12000(1 + 0.04)^x[/tex]
[tex]A(x) = 12000(1.04)^x[/tex]
Provide a formula that can be used to determine whether a point in a circle that is centered about (0,0) with a diameter of 12
Answer:
x² + y² = 36
Step-by-step explanation:
The formula for the circle is
x² + y² = 36
If the point is on the circle it will equal 36 when plugged into the formula
Point(6, 0)
6² + 0 = 36
36 = 36 on the circle
point (5, 1)
5² + 1² = ?
25 + 1 = 26
26 ≠ 36 not on the circle
Step-by-step explanation:
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is it possible to make a triangle with measure of 3mm 9mm and 5mm
Answer: No
Step-by-step explanation: if you mean the measure of a is 3, the measure of b is 9 and the measure of c is 5, c being the hypotenuse then the answer is no because the the sides of a and b must be less than the measure of c. If 5 wasn’t the hypotenuse then the answer would be different.
(KEEP IN MIND THAT IF 9 IS THE HYPOTENUSE THEN THE ANSWER IS YES)
Hope this helps! :)
52 words in 2minutes and 39 words in 90 seconds?
(Show your work)
Proportion form of the given problem is (52/120)=(39/90). They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.
When does two ratios form a proportion?Two ratios form a proportion if simplified form of both the ratios comes out as same ratio.
Using above method to find out whether the given ratios are forming proportion or not.
The question asks for an proportion.
So, 2 minutes = 120 seconds and set up the proportion
where it will be in the form of (words/seconds).
It is given that 52 words in 2minutes and 39 words in 90 seconds
Now, the proportion form will be;
(52/120) = (39/90).
They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
Help me please I’m down baddddd
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.
Answer:
Mean: 44
Step-by-step explanation:
1. 24 + 36 + 52 + 48 + 64 + 40 = 264
2. 264 divided by 6 = 44
(I divided it by 6 because there are 6 numbers (data points).)
Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)
Center at the origin;
passes through (4, 6)
Answer:
[tex]x^2 + y^2 = 52[/tex]
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center at the origin;
This means that [tex]x_0 = 0, y_0 = 0[/tex]
So
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]
[tex]x^2 + y^2 = r^2[/tex]
Passes through (4, 6)
The radius is the distance from this point to the center. So
[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r = \sqrt{(4-0)^2+(6-0)^2}[/tex]
[tex]r = \sqrt{16+36}[/tex]
[tex]r = \sqrt{52}[/tex]
So
[tex]r^2 = 52[/tex]
Then
[tex]x^2 + y^2 = r^2[/tex]
[tex]x^2 + y^2 = 52[/tex]
what is 5.7916 rounded to the nearest thousandth?
Answer:
5,792
Step-by-step explanation:
I'm pretty sure tell me if I'm wrong
Answer:
5.792
Step-by-step explanation:
To round to the nearest thousandth, look at the ten thousandths place.
If the number is greater than 5, we will round up. If it is 5 or less, we will keep the thousandths place the same.
There is a 6 in the ten thousandths place, so we will round up the thousandths place.
So, the rounded number will be 5.792
Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
9514 1404 393
Answer:
-5 or 13
Step-by-step explanation:
A point that is 9 units from 4 on the number line ca be located at ...
4 - 9 = -5
4 + 9 = 13
F could be either of -5, 13.
Find the different
5-2
Answer:
3
Step-by-step explanation:
5-2=3 ¯\(◉‿◉)/¯
hope it may help you
mark as brainlist please!!
¯
play help me on this
Answer:
VTU T UTV all work
Give me brainiest answer please it helps a lot! :D
Step-by-step explanation:
Answer:
The answer is A <VTU, B <T and D <UTV
What is the GCF of the terms of 8c3 + 12c2 + 10c
Answer:
The GCF of the terms is 2c
Step-by-step explanation:
Greatest common factor:
To find the gcf of the expression, we find the gcf separately for the numbers and for the powers of c, and then multiply them.
Numbers:
8, 12 and 10.
Dividing them all by prime factors:
8 - 12 - 10|2
4 - 6 - 5
5 is not divisible by 2, so we stop there, and the gcf of the numbers is 2.
Powers of c:
Powers of c are 1, 2 and 3. The gcf of 1,2,3 is 1, as there is not a number that is divisible by all of 1,2,3 other than 1. So the gcf for the powers of c is c^1 = c.
GCF of the expression:
2*c = 2c
Sets L and J are defined as follows: L = { g , h , i , j , k } J = { i , l , m , n , o } Find the intersection of L and J .
Answer:
Step-by-step explanation:a
Answer:
The answer is L∩J= {i}
Step-by-step explanation:
I just took a quiz and this was the correct answer
The expression for ordering brushes for an art class is 5c - 1, where c is the class limit. Evaluate the expression when the class limit is 34. When the class limit is 34, the expression evaluates to
Answer: 169'
Step-by-step explanation:
Since the expression for ordering brushes for an art class is given as 5c - 1, where c is the class limit.
Therefore, when the class limit is 34, the expression evaluated will then be:
= 5c - 1
= 5(34) - 1
= 170 - 1
= 169
Therefore, 169 brushes were ordered.
What is the scale factor from abc to def?
Answer:
1/3
Step-by-step explanation:
Considering the triangles are similar the side lengths would be proportional too
like AB is similar to DE so 5/15 = 1/3
HELP PLSS I WILL GIVE BRAINLYEST
I SUCK AT MATH
Answer:
W=11
Step-by-step explanation:
Just trust me with this one :3
Which explicit formula is equivalent to a1 = 1, an=
4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4
Answer:
A. an = 1(4)^n-1
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:
[tex]a_n = a_1(q)^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term and q is the common ratio.
We are given the following sequence:
[tex]a_1 = 1[/tex]
[tex]a_n = 4a_{n-1}[/tex]
So
[tex]a_2 = 4a_1 = 4[/tex]
[tex]a_3 = 4a_2 = 16[/tex]
[tex]a_4 = 4a_3 = 64[/tex]
That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].
The first term is already given, [tex]a_1 = 1[/tex]. So
[tex]a_n = a_1(q)^{n-1}[/tex]
[tex]a_n = 1(4)^{n-1}[/tex]
And thus, the correct answer is given by option A.
Find the 7th term of the geometric sequence: 4, 14, 49, ...
Answer:
Step-by-step explanation:
[tex]a_2=a_1*r=>14=4*r=>r=\frac{7}{2}\\a_n=a_1*r^{n-1}=>a_7=a_1*r^{7-1}=4*(\frac{7}{2})^6=\frac{117649}{16}\\\\a_7=\frac{117649}{16}[/tex]
37% of what number is 72?
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
Complete the following sentence to form a true statement. The expressions x2 - 14x + and (X - _)2 are equivalent. The e expressions x2 - 14x + [and (x-D) are equivalent (Simplify your answer. Type an integer or a fraction.)
A line passes through the origin and has a slope of 1/2.
Which of the following points does the line pass through?
(1/2, 1)
(1, 2)
(2, 1)
(0, 1/2)
Answer:
(2, 1)
Step-by-step explanation:
A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x
it starts at the origin
goes 2 units to the right
1 unit above
2 units to the right + 1 unit above = (2, 1)
Final Answer: (2, 1)
Answer:
2,1
Step-by-step explanation:
trust
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April. The box shows her data for March. Select all true statements about the data.
Answer:
I think it's the first obtion
-2 (8p+2) -3(2-7p)=2(4+2p)
Answer:
p = 18
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(8p+2)−3(2−7p)=2(4+2p)
Step 1: Simplify both sides of the equation.
−2(8p+2)−3(2−7p)=2(4+2p)
(−2)(8p)+(−2)(2)+(−3)(2)+(−3)(−7p)=(2)(4)+(2)(2p)(Distribute)
−16p+−4+−6+21p=8+4p
(−16p+21p)+(−4+−6)=4p+8(Combine Like Terms)
5p+−10=4p+8
5p−10=4p+8
Step 2: Subtract 4p from both sides.
5p−10−4p=4p+8−4p
p−10=8
Step 3: Add 10 to both sides.
p−10+10=8+10
p=18
Therefore, the final answer is 18, I hope this helps :D
Answer:
p=18
Step-by-step explanation:
See image below:)
which of the following points lies on the line 2x-y=12
Answer:
You forgot something
Step-by-step explanation:
"which of the following points "
no points follow?????
A number z is greater than 3 and is less than or equal to 8
Answer:
z > 3
z <_8
.......................
Can y’all help me? Thanks :)
Answer:
Step-by-step explanation:
Soooo, by looking at the picture we can tell that it is a right trapezoid
The formula for the area is
(b1+b2)/2*h
(Base 1+ Base 2)/ 2 * height
Now we can plug in the numbers:
(5+15)/2*6
20/2*6
10*6
=60
1 gallon of paint per sq. foot
So Isha needs 60 gallons of paint
PLEASE HELP FAST!!!!!
BAnswer:
Step-by-step explanation:
The sum of -5 + 6 and 7a - 8
7a-7
I hope you typed the question correctly because it was weird because -5+6=1
Answer:
1) 1
2) I'm getting no answer/ solution
Step-by-step explanation:
See image below:)
Write the equation of a line that is perpendicular to y =(1/2)x - 5 and passes through point (-6,2)
Answer:
y=-2x-10
Step-by-step explanation:
Let us start with a general slope-intercept equation, y=mx+b, where m represents the slope, b represents the y-intercept, and the y and x represents the coordinates the line passes through.
Therefore, the slope of our line
[tex]y=\frac{1}{2}x-5[/tex]
is 0.5
We also know that the perpendicular slope is simply the negative reciprocal of the current slope. We know have:
[tex]-\frac{2}{1} =\\-2[/tex]
Now, let us find the y intercept. We can plug in the x and y values using the given coordinate (–6,2).
[tex]y=-2x+b\\2=-2*(-6)+b\\2=12+b\\b=-10[/tex]
Now, we can write our equation:
[tex]y=-2x-10[/tex]
I hope this helps! Let me know if you have any questions :)