Answer:
d = 12 and n = 26
Step-by-step explanation:
Given that the fractions are equivalent then
[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{d}[/tex] ( cross- multiply )
2d = 24 ( divide both sides by 2 )
d = 12
--------------------------------------
and
[tex]\frac{2}{3}[/tex] = [tex]\frac{n}{39}[/tex] ( cross- multiply )
3n = 78 ( divide both sides by 3 )
n = 26
The fractions represent the same amount or value given that they are
equivalent.
The value of d is 12The value of n is 26Reasons:
Equivalent fractions are fractions that have equal values, therefore;
[tex]\displaystyle \frac{2}{3} = \frac{8}{d} =\frac{n}{39}[/tex]
Which by cross multiplying gives;
2 × d = 8 × 3 = 24
Therefore;
[tex]\displaystyle d = \frac{24}{2} = \mathbf{12}[/tex]
d = 12
Similarly, we have;
[tex]\displaystyle \frac{2}{3} =\frac{n}{39}= \frac{8}{d}[/tex]
Which gives;
2 × 39 = 3 × n
Therefore;
[tex]\displaystyle n = \frac{2 \times 39}{3} = \mathbf{26}[/tex]
n = 26
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An Internet service provider offers a plan that allows a subscriber to download 2 GB or less of content per month. Define a variable for the amount downloaded. Identify the inequality and the graph that represents the content that can be downloaded.
Answer: Choice C
[tex]0 \le d \le 2[/tex]
Graph with filled in circles at d = 0 and d = 2, shading in between
==========================================
Explanation:
d = amount downloaded in gigabytes
The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.
The largest amount allowed is d = 2. This is the cap that the ISP has set up.
So basically d can be anything between d = 0 and d = 2, including both endpoints. This means [tex]0 \le d \le 2[/tex]
We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.
during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score? (there were no 1-point free throws)
Answer:
Ok, let's define the notation:
A is the number of 2-point field goals that your team scored.
B is the number of 3-point field goals that your team scored:
We know that:
" your team scored three times as many 2-point field goals than it did 3-point field goals,"
This can be written as:
A = 3*B
" And scored a total of 90 points."
A*2 + B*3 = 90
Then we have a system of two equations and two variables:
A = 3*B
A*2 + B*3 = 90
Now we can replace the first equation into the second one and get:
(3*B)*2 + B*3 = 90
B*6 + B*3 = 90
B*9 = 90
B = 90/9 = 10
And we know that:
A = 3*B
A = 3*10 = 30
Then your team scored 30 2-point field goals and 10 3-point field goals (a total of 40 if you combine them)
16 2/3 % as a fraction
Answer: it will be 1/6
Step-by-step explanation:
What is greater 1 4/6 or 1 14/21
They’re the same.
Give them common denominators by looking at their least common multiples. 6 and 21 are the denominators and they have to be the same to compare. Their least common multiple is 42.
So 1 4/6 will turn into 1 28/42. I know this because their least common multiple is 42. So I multiplied the 6 by 7 to get 42 as the denominator and you must also multiply the numerator by 6.
1 14/21 will need to be multiplied by 2 to get a denominator of 42. It will turn into 1 28/42. Both simplify down to 1 2/3.
Answer:
The are the same.
Step-by-step explanation:
Because both begin with a 1, ignore that for now.
You have 4/6 and 14/21. Do your best to reduce each. Think about a number that can go into each.
Start with 4/6. They are both even numbers, so 2. 4/2 = 2 and 6/2 = 3
so 4/6 can be reduced to 2/3.
14/21 is trickier, one is odd and the other is even, so no even number will work. 3 can't go in to 14, or 5, but 7 can, and cool! 7 can go in to 21 as well!
14/7 = 2 21/7 = 3 so 14/21 can be reduced to 2/3!
You can also use a common denominator, but you need a calculator for this problem. To solve that way you would take 4/6 and multiply by 21/21 and you would multiply 14/21 by 6/6, this way you'll end up with 126 on the bottom, and you'll see you get 84 on the top.
[tex]\frac{4}{6} * \frac{21}{21} = \frac{84}{124}[/tex]
[tex]\frac{14}{21} * \frac{6}{6} = \frac{84}{124}[/tex]
This is much harder without a calculator. Always try and reduce first, because if you end up having to find a common denominator, it will be smaller and more manageable.
What is 10x + 32y if y = 3, and x = 9.
Answer:
186
Step-by-step explanation:
10×9+32×3
90+96
=186
HOPE THIS HELP YOU
Answer: Hi!
First we will substitute the variables and then solve the equation.
The equation will look like this after we substitute:
10(9) + 32(3)
We will multiply:
(90) + (96)
We will add:
186
This equation is equal to 186.
Hope this helps!
I need to know quick so i would rly apriciate help, if you do a answer and the work ill give u a brainliest!!!
Answer:
6
Step-by-step explanation:
Let the two integers be a and b.
The difference of them is 26. Thus:
[tex]a-b=26[/tex]
One of them (let's use a) is 2 more than 5 times the other. Thus:
[tex]a=2+5b[/tex]
Substitute:
[tex]a-b=26\\(2+5b)-b=26[/tex]
Combine like terms:
[tex]4b+2=26[/tex]
Subtract 2 from both sides:
[tex]4b=24[/tex]
Divide by 4:
[tex]b=6[/tex]
And the second number is:
[tex]a-b=26\\a-6=26[/tex]
Add 6 to both sides:
[tex]a=32[/tex]
So, our two numbers are 32 and 6
And the smaller integer is 6.
And we're done :)
Answer:
The smaller intrger is:
6
Step-by-step explanation:
a = 5b + 2
a - b = 26
then:
(5b+2) - b = 26
4b = 26 - 2
4b = 24
b = 24/4
b = 6
a = 5b + 2
a = 5*6 + 2
a = 30 + 2
a = 32
Check:
32-6 = 16
32 = 5*6 + 2
32 = 30 + 2
6<32
the smaller integer is:
6
Please help asap!! Thank you
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
60° + 2x° + (2x+12)° = 180° { being a linear pair}.
or, 72° + 4x = 180°
4x = 180° - 70°
[tex]x = \frac{108}{4} [/tex]
Therefore, the value of x is 27°.
Now,
2x° = (2×27)°= 54°
(2x+12)° = 2×27°+12°= 66°.
(x+2)= 27+ 2= 29°
Now, The left angle is 27°.
Therefore, The answer is option A.
Hope it helps...
Erika read 90 pages in 2 and half hours. At the same time, how many hours would it take her to read 225 pages?
Answer:
6.25 hours
Step-by-step explanation:
pages per hour
pages/hour
90/2.5 = 36
36 pages per hour
225 / 36 = 6.25 hours
Answer:
6.25 hours
Step-by-step explanation:
2 and half hours = 2.5 hours
Proportions:
90 pages ⇔ 2.5 hours
225 pages ⇔ E hours
E = 225*2.5/90
E = 6.25 hours
6.25 hours = 6 and 1 quarter hours
please help. i need part b on 66, 68 and 70!
Step-by-step explanation:
Use the function to find the coordinates of the endpoints. Find the slope between those points, then use point-slope form to write the equation. If you wish, you can simplify to slope-intercept form.
For example, #66:
f(2) = -4(2) + 1 = -7
f(5) = -4(5) + 1 = -19
So the endpoints of the secant line are (2, -7) and (5, -19). The slope between those lines is:
m = (-19 − (-7)) / (5 − 2)
m = -12 / 3
m = -4
The equation of the line in point-slope form is:
y − (-7) = -4 (x − 2)
y + 7 = -4 (x − 2)
Simplifying:
y + 7 = -4x + 8
y = -4x + 1
f(x) is a line, so unsurprisingly, the secant line connecting two points on that line has the same equation.
Let's try #68:
g(2) = (-1)² + 1 = 2
g(5) = (2)² + 1 = 5
So the endpoints of the secant line are (-1, 2) and (2, 5). The slope between those lines is:
m = (5 − 2) / (2 − (-1))
m = 3 / 3
m = 1
The equation of the line in point-slope form is:
y − 2 = 1 (x − (-1))
y − 2 = x + 1
Simplifying:
y = x + 3
7.1 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 134 cm3.
The height of the water bottle is 7.1 cm. What is
the radius of the water bottle? Use 3.14 for i.
The radius of the water bottle is about
cm. (Round to the nearest tenth as needed.)
Answer:
Cylinder Volume = PI * radius^2 * height
Radius = Square Root [Volume / (PI * height)]
Radius = Square Root [ 134 / (3.14 * 7.1)]
Radius = 2.45103
Radius = 2.45
Step-by-step explanation:
4. If mZDEF = 3x +1 and mZDEG = 5x +19, find the value of x.
Answer:
x=-9
3x+1=5x+19
-1 -1
--------------------
3x=5x+18
-5x -5x
----------
-2x=18
x=-9
help fast i need this
Answer:
74
Step-by-step explanation:
answer: 74
explanation: hope it helped
3x–7x=60
Solving linear equations
Answer:
x = -15
Step-by-step explanation:
3x–7x=60
Combine like terms
-4x = 60
Divide by -4
-4x/-4 = 60/-4
x = -15
Answer: x=-15
Step-by-step explanation:
3x -7x =60
-4x = 60
x= -15
Which is colder
-20° or -8°?
PLEASE HELP ME For a-d choose yes or no to tell whether the fraction is equivalent to 4.05… A 405/99 B 401/99 C 81/33 D 802/198
B
Because you multiply the denominator by four and see if its close enough than multiply ot by .05
what is the distance between (-8,5) and (4,9)
Answer:
Use the distance formula to determine the distance between two points.
Exact Form:
4 √ 10
The distance between points (-8, 5) and (4, 9) is 4√10.
What is a coordinate plane ?A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.
The given points are,
P(-8, 5) and Q(4, 9)
To find the distance between points P(-8, 5) and Q(4, 9),
Use formula,
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance[tex]AB =\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2}[/tex]
Distance between P(-8, 5) and Q(4, 9),
[tex]PQ = \sqrt{(4+8)^2 + (9-5)^2}\\\\PQ = \sqrt{12^2+4^2}\\\\ PQ = \sqrt{144 + 16}\\\\PQ = \sqrt 160\\\\PQ = 4\sqrt10\\[/tex]
The distance between points P(-8, 5) and Q(4, 9) is 4√10.
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PLSSSS help me!! will give branliest to whoever answers with work! Jake wants to buy a skateboard but does not know if you have enough money. The price of the skateboard is $85 and the sales tax is 6%. what would be the total cost of the skateboard???
Help...!!!!!!!!!!!
Please...!!!!!!
Answer:
8[tex]x^{3}[/tex] + 9[tex]x^{2}[/tex] + 5x -3
Step-by-step explanation:
Simplify by combining like terms. Type the terms in alphabetical order. -5q-2+2q-8= really need to get this done so it would mean a lot if I could get some help
Answer:
-3q - 10
Step-by-step explanation:
-5q - 2 + 2q - 8
-5q + 2q - 2 - 8
-3q - 10
subtract. −11− (−13) A. -24 B. -2 C. 2 D.24
What is the next term in the sequence?
2.5= 10
22.5= 110
222.5 = 1,110
2,222-5= 11,110
Answer:
1,11,110
Step-by-step explanation:
hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
The word in the problem that indicates that a negative sign should be used is "descend".
How many meters did he descend?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4 x (-15)m = -60m
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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How do you answer this:
8-x=3
Answer:
X=8-3
X=5
Step-by-step explanation:
X is equal to 5
8-3
The symbol change always when we move digit from the equalent sign
Which angles are linear pairs? Check all that apply.
Answer: A & C & D
Step-by-step explanation:
The Angles which are in linear pairs are,
∠SRT and ∠TRV,
∠VRW and ∠WRS,
∠VRU and ∠URS.
What are linear angles?When two lines meet at a single point, they form a linear pair of angles. After the intersection of the two lines, the angles are said to be linear if they are adjacent to one another. A linear pair's angles always add up to 180 degrees. Additional angles are another name for these angles. The angles with a common vertex are called the adjacent angles.
Given the figure and finding linear pair of angles,
The property of linear pair of angles says that the sum of two angles is 180⁰.
A: ∠SRT + ∠TRV = 180⁰
pair is linear
B: ∠SRT + ∠TRU > 180⁰
pair is nonlinear
C: ∠VRW + ∠WRS = 180⁰
pair is linear
D: ∠VRW + ∠URS = 180⁰
par is linear
E: ∠URW + ∠WRS < 180⁰
pair is nonlinear
Hence the linear pairs are (∠SRT and ∠TRV), (∠VRW and ∠WRS), and (∠VRW and ∠URS).
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WILL GIVE BRAINLIEST: Show that ABCD is a rhombus if A(0, –2), B(10, 3), C(21, 5), and D(11, 0). Find the slope m1 of AC and the slope m2 of BD and verify that m1m2 = –1.
Answer:
Answers in the pics
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
What is an algebraic expression for 32 more than a number n
Answer:
n + 32
Step-by-step explanation:
More than indicates you are adding. 32 more than n is shown by the expression n + 32.
The algebraic expression for 32 more than a number n is 32 + n where n is the real number.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
32 more than a number n
Here n is the real number.
As we know,
The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
The expression can be written mathematically,
32 more than a number n = 32 + n
Thus, the algebraic expression for 32 more than a number n is 32 + n where n is the real number.
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7 less than twice a number
Answer:
2x-7
Step-by-step explanation:
Answer:
2x-7
Step-by-step explanation:
Solve 4x- c = k for x.
A. x = k-c/4
B. x = 4(k-c)
C. x- k+c/4
D. x = 4 (k+c)
Answer:
A
Step-by-step explanation:
You would first add c to the side that k is on and then divide k+c by 4 because it is 4x which means they are being multiplied together so you have to divide to get them apart.
Answer:
C. x= k+c/4Step-by-step explanation:
[tex]4x- c = k[/tex]
Move -c to the right side and change its sign
[tex]4x = k+c\\[/tex]
Divide both sides of the equation by 4
[tex]\frac{4x }{4} = \frac{k+c}{4}\\ \\x = \frac{k+c }{4}[/tex]
Martha is dividing cookies into packages. If she puts 5 cookies in each package, she will make 33 packages with no cookies leftover. If instead, she puts 3 cookies in each package, how many packages can she make?
Answer:
55 packages
Step-by-step explanation:
33×5 = 165
165÷3 = 55
Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches
Answer:
[tex]y = \frac{x}{36}[/tex]
Step-by-step explanation:
Given
Length of string = x inches
Required
Determine the length in yards
Represent the equivalent length with y
Such that
[tex]y = x\ inches[/tex]
Divide x by 36 to get equivalent in yards
[tex]y = \frac{1}{36} * x[/tex]
[tex]y = \frac{x}{36}[/tex]
Hence, the equivalent in yards is [tex]\frac{x}{36}[/tex]
The expression should be [tex]x \div 36[/tex]
The calculation is as follows;Here we need to divide x by 36 so that the equivalent in yards could come
[tex]=\frac{1}{36} \times x\\\\ = \frac{x}{36} [/tex]
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