Answer:
$5 per cupStep-by-step explanation:
Step one:
given data
total amount = $100
cost of cake=$30
cost of balloon=$20
let the cost of 1 cup be x
so cost of ten cups = 10x
Step two:
The expression for the total amount is given as
100=30+20+10x
100=50+10
100-50=10x
50=10x
divide both sides by 10
x=50/10
x=$5
the cost of one cup is $5
the cost of ten cups is 5*10= $50
I need to know the value of X and how to get the value of X.
Answer:
2
Step-by-step explanation:
take three off.
x+x=4
2x=4
x=2.
Hope this helps :D
A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).
Using the permutations formula, it is found that: 11,232,000 different license plates are possible
----------------------------------------------------
The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.
----------------------------------------------------
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
----------------------------------------------------
In this question:
3 letters from a set of 26.3 digits from a set of 10.Thus:
[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]
11,232,000 different license plates are possible
A similar problem is given at https://brainly.com/question/16812463
Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?
Answer:
rhe cost of one book was $4. 32/8=4
Step-by-step explanation:
32÷8=4 so mia spent 4 dollars
Please help :)Please help :)Please help :)
Answer:
the first one is correct
Step-by-step explanation:
The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?
Plz help im so dumb ;-;
Answer:
I think it's 80 I'm sorry if I'm wrong
Answer:
the person above is incorrect I think it may or may not be 75
Which three lengths
cannot be the lengths of
the sides of a triangle?
a) 13, 11, 14
b) 17,5, 10
c) 21, 16, 14
d) 8, 9, 14
Answer:
B)
Step-by-step explanation:
You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B
Solve 3.8 = 2x - 11.2.
X=__
Answer:
x= 15/2 im pretty sure
Step-by-step explanation:
We want to solve the given linear equation, we will find that the solution is x = -3.7
Solving linear equations:
Here we have the equation:
3.8 = 2*x - 11.2
We want to solve this for x, so we can start by subtracting 11.2 in both sides to get:
3.8 - 11.2 = 2*x
-7.4 = 2*x
Now we can divide both sides by 2:
-7.4/2 = x = -3.7
So the solution is x = -3.7
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
The table shows the height of water in las pool as it is
being filled
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
O The height of the water increases 2 inches per
minute
O The height of the water decreases 2 inches per
minute.
O The height of the water was 2 inches before any
water was added
The height of the water will be 2 inches when the
pool is filled
Let the number of games, `x`, and the number of rides, `y`
For `x+4y=28`, what is the slope of the graph?
-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7
LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many
Answer: D
D-infinitely many
Step-by-step explanation:
Took the Analyzing Solutions quiz on Edge 2020
Answer: D
D-infinitely many
Step-by-step explanation:
Edge 2020
Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis
Help please it's for a test!!
Answer:
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-a
Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
does anyone know the answer to this? will give brainliest
Answer: a
Step-by-step explanation:
Answer:
the answer is d. it is written in scientific notation.
Step-by-step explanation:
have a nice day!
Help please, thanks :)
Answer:
60°
Step-by-step explanation:
Angle 1 is a vertical angle to 60° by the definition of a vertical angle.
Answer:
∠1 = 60°
Step-by-step explanation:
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answer:
180 degrees
Step-by-step explanation:
Can someone please help me with this and show work as well
Do these pairs of values (x and y) represent two quantities that are
proportional?
ху
3 12
520
624
9 36
Answer:
yes
Step-by-step explanation:
Each value of x multiplied by 4 gives the corresponding value of y, that is
3 × 4 = 12
5 × 4 = 20
6 × 4 = 24
9 × 4 = 36
Thus x and y are proportional and the constant of proportion is 4
What is the Value of the angle AEX
Answer:
52
Step-by-step explanation:
I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???
We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.
So begin by removing the brackets.
3x + 1 + 2x + 4 = 90 Combine the like terms.
5x + 5 =90 Subtract 5 from both sides.
5x + 5 - 5 = 90 - 5 Combine
5x = 85 Divide by 5
x = 17
3x + 1 = 3*17 + 1 = 51 + 1 = 52
What is the x-intercept of the line described by the equation? 14x - 8y = 56
Answer:
The x intercept is (4,0) and the y intercept is (0,-7)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The x-intercept of a line is when the y-coordinate is 0. To find that point on this line, we first want to rearrange the equation into the form
[tex]y = mx + b[/tex]
we are given
[tex]14x - 8y = 56\\so, \\14x - 56 = 8y\\\frac{14x}{8} - \frac{56}{8} = \frac{8y}{8} \\y = \frac{7}{4}(x) - 7[/tex]
now, we can set y to 0 and solve
[tex]\frac{7}{4}(x) = 7\\7x = 28\\x = 4[/tex]
The x-intercept is (4, 0)
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
can you guys please help me with this and fast?
∛125?
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.
Answer:
I agree with none of them
Step-by-step explanation:
Given
[tex]Expression= 2^{28}[/tex]
[tex]Andre: 2 * 28 = 56[/tex]
[tex]Elena: 28 * 28 = 756[/tex]
Required
Who is correct?
[tex]Expression= 2^{28}[/tex]
When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places
i.e.
[tex]Expression= 2^{28}[/tex]
[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places
Andre's interpretation of the expression is incorrect as:
[tex]2^{28} \neq 56[/tex]
Also, Elena's expression is incorrect.
This is so, because
[tex]2^28 \neq 28*28[/tex]
Hence, both of them are incorrect and I agree with none of them
can someone help me
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
what does rise over run mean in math?
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
Increase £120 by 25%
please help , picture above!
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D