Answer:
The equations had 2 solutions:
x = 3, y = 25 or x = 7, y = 9
Step-by-step explanation:
(x - 6) x + y = 16, 4 x + y = 37
y = 37 - 4 x
x2-6x+37-4x-16=0
x2-10x+21=0
(x - 7) (x - 3) = 0 -> x =3 or x = 7
Answer:
C. is right on edg.
Beatrice made 7 2/3 cups of lemonade for her lemonade stand. Later, she made 10 3/5 more cups of lemonade. How many cups of lemonade did she make in total
Answer:
She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.
Step-by-step explanation:
A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.
What are proper and improper fractions and how do convert mixed fractions to simple fractions?A fraction contains a numerator(upper value) and denominator(lower value).
When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.
A proper fraction is also called a fraction which is less than 1.And an improper fraction is ≥ 1A mixed fraction contains a sum of a whole number and a proper fraction.A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,
Total cups of lemonade = 7 2/3 + 10 3/5
= 23/3 + 53/5
= (23×5 + 53×3)/(3×5)
= (115 + 265)/15
= 380/15
= 25 5/15
= 25 1/3
Hence, the total cup of lemonade that Beatrice made is 25 1/3.
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based on the sequence -13, -8, -3, 2, 7, 12 what will be the 500th term?
Answer:
2482
Step-by-step explanation:
Because this sequence starts with -13 and adds 5 each time, the 500th term will be 5(499)-13=2482. Hope this helps!
Answer:
2482
Step-by-step explanation:
determine the equation of the line that has a slope of 1/3 and goes through (7,6)
Answer: y=1/3x+11/3
Step-by-step explanation:
Since we given the slope, we can write a slope-intercept form equation.
y=1/3x+b
Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.
6=1/3(7)+b
6=7/3+b
11/3=b
Now that we have our y-intercept, we can complete our equation.
y=1/3x+11/3
Scenario: Mike is buying a large pizza. The pizza
costs $8.00 plus $0.50 for each additional topping.
Identify the y-intercept and slope.
y-intercept:
Slope:
the table shown below represents a function.which of the following values could not be used to complete the table ?
Answer:
A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10
−4
1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10
4
4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.
What is the mass of all the worker bees in the hive together?
Write your answer in scientific notation.
Step-by-step explanation:
What is the value of x for the point with a y-value of 6?
If the gradient of a line,C, is 2/3, what is the gradient of a line which perpendicular to C
The gradient of a line which perpendicular to C is -3/2
How to determine the gradientThe gradient of a line shows how steep it is. Gradient is also called the slope of a line.
Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.
We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.
Take the negative reciprocal of the gradient, we have;
-3/2
Since the negative reciprocal of 2/3 is -3/2.
Therefore, the gradient of the line perpendicular to C is -3/2.
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EASY question for y’all mathy people! Easy points, i’m just not a mathy person. question in photo.
Answer:
C
Step-by-step explanation:
This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.
Answer:
C
Step-by-step explanation:
It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.
PLEASE HELP MEEEEE!!!!
Answer:
108 is the answer
Step-by-step explanation:
PLZZZ HELPP 3+7 - 1/2 is an example of
A. a numerical equation
B. an algebraic equation
C. a numerical expression
D. an algebraic expression
Answer:
An algebraic equation (I think :/)
Answer:
Not really
(Algebraic expression)
Solve for v.
14 − 10v + 11 = 20v + 5(–7v − 11)
v =
Answer:
v = -16
Step-by-step explanation:
→Distribute the 5 to (-7v - 11):
14 - 10v + 11 = 20v - 35v - 55
→Add like terms:
25 - 10v = -15v - 55
→Add 15v to both sides:
25 + 5v = -55
→Subtract 25 from both sides:
5v = -80
→Divide both sides by 5:
v = -16
Answer:
[tex] \boxed{v = - 16} [/tex]
Step-by-step explanation:
[tex] = > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - \frac{80}{5} \\ \\ = > v = - 16[/tex]
If ABCD is dilated by a factor of , the
coordinate of D' would be:
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!
Answer:
(2,-1)
Step-by-step explanation:
Multiply the original coordinates by 1/3
The smiths holiday tickets cost £352 including 10% flight tax. How much were the tickets before the flight task
Answer:
£320
Step-by-step explanation:
Using proportion,
If 110% = £352
100% = ?
= [tex]\frac{100}{110} * 352[/tex]
= £320
If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.
What is percentage?It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.
How to calculate costs?We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:
let the cost before flight tax be x.
x+ x*10%=352
x+10x/100=352
110x/100=352
110x=35200
x=35200/110
x=320
Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.
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What is the end behavior of the polynomial function?
As x > -infinity , then y > -infinity
As x > -infinity , then y > 0
As x > infinity , then 1y > -infinity
As x > infinity , then y > 0
Answer:
as X > infinity then y>-infinity
Answer:
Both of them are negative infinity
Step-by-step explanation:
Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled. A coordinate grid labeled Distances Traveled with Time in minutes along the horizontal x-axis and Distance in miles along the vertical y-axis with 2 lines. The first line is labeled y equals (StartFraction 1 over 15 EndFraction) x plus 5 and passes through (0, 5) and (60, 9). The second line is labeled y equals (StartFraction 2 over 15 EndFraction) x. The lines appear to intersect at between 70 and 80 along the x-axis and 10 on the y-axis. How many minutes does it take Arnob to catch up to Kathleen? 9.8 10 73.5 75
Answer:
75
Step-by-step explanation:
It's D on edg
The number of minutes it take Arnob to catch up to Kathleen is 75 minutes.
Number of minutesGiven:
Mile head start=5 mile
Distance along y-axis=2 lines
Hence:
y=1/15x+5
=y=2/15x
So,
1/15x+5=2/15x
1/15x=5
x=75 minutes
The correct option is D.
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Find the area of the shape shown below.
9 3 3
Answer:
The answer would be 18
Step-by-step explanation:
the formula for area of a triangle is 1/2b*h
so would mulitply 3*3 and get 9/2 which would be 4.5 do that on the otherside and you would get 4.5 again add together and you would get 9
for the square you would calculate the area by multplying b*h to get 9 so 9+9=18
What is the result of substituting for y in the bottom equation?
y= x-7
y = x2 + 2x - 4
Answer:
x^2+x+3
Step-by-step explanation:
y=x-7
x-7=x^2+2x-4
x^2+2x-4-x+7
x^2+x+3
Answer: x-7=x^2+2x-4
A P E X
Step-by-step explanation:
but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.
Pls help me:(
X= –2 / Y= –4 / Z= 4
Answer:
1. 2
2. -44
3. -4
Step-by-step explanation:
idk how to explain i used a calculator sorry if im wrong
De un total de 60 personas en una escuela , 36 han elegido el curso de computacion ¿que porcentaje represebtan
Answer:
the answer is 21.6%
Step-by-step explanation:
find f(-3) if f(x) = x^2
Answer:
=
−
1
2
×
3
2
=
1
×
9
=
9
Step-by-step explanation:
f
(
−
3
)
=
9
Explanation:
f
(
x
)
=
x
2
To find f(-3) replace
x
in the function by
−
3
Therefore:
f
(
−
3
)
=
(
−
3
)
2
=
−
1
2
×
3
2
=
1
×
9
=
9
Answer:
9
Step-by-step explanation:
f(x) = x²
f(-3) =(-3)² = (-3)*(-3) = 9
A trapezoid’s top measures 2.2 m, and its height measures 4.0 m. Calculate the measurement of the base if the area of the trapezoid is 13 m²
Answer:
The measurement of the other parallel side which is the base of the parallelogram is 4.3 m
Step-by-step explanation:
Mathematically, the area of a trapezoid can be calculated using the formula below;
A = 1/2 (a + b) c
where a and b are the parallel sides and c is the height
We have one parallel sides and the height including the value of the area
Let’s say A = 13
a = 2.2m
h = 4.0 m
Plugging these values, we have;
13 = 1/2(a + 2.2) 4
26 = 4(a + 2.2)
26 = 4a + 8.8
26-8.8 = 4a
4a = 17.2
a = 17.2/4
a = 4.3 m
What is the area of a parallelogram when the height is 10 and the base is 15
Answer:
150
Step-by-step explanation:
A=bh
A=15×10
A=150
Answer:
150
Step-by-step explanation:
it is just like finding the area of a rectangle! 10*15=150
Solve for h.
h–2–17≤–1
Answer:
h≤18
Step-by-step explanation:
Step 1 :
Solve Basic Inequality : 1.1
Add 18 to both sides h ≤ 18
Inequality Plot
Inequality plot for
h - 18.000 ≤ 0
Answer: h≤18
Hope this helps.
Which point of below lie on the curve y=x^3 (1/3,1/9), (-1,1), (-2,-6), (-1/2,-1/8)
Answer:
(-1/2, -1/8)
Step-by-step explanation:
I graphed it and (-1/2, -1/8) is the only point that lands on the graph.
can anyone help? i don’t understand this !
The lines below are perpendicular if the slope of the green line is 3/2 what is the slope of the red line
Answer:
The perpendicular line has a slope of -2/3
Step-by-step explanation:
Perpendicular lines have a slope that multiplies to -1
3/2 * m = -1
Multiply each side by 2/3
3/2 * 2/3 *m = -1 * 2/3
m = -2/3
Answer: -2/3
Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.
To most students, perpendicular lines are simply
lines that meet at a 90 degree angle.
However, when dealing with these kinds of problems, it's important
to think about perpendicular lines in terms of their slopes.
As a rule, the slopes of two perpendicular
lines are always negative reciprocals.
So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.
So we take the fraction and flip it, then we change the sign.
So the negative reciprocal of 3/2 is -2/3.
Help me please!! It’s due soon!!
Answer:
13.7
Step-by-step explanation:
Using cosine formula:
AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC
AB^2 = 15^2 +12^2 -2*15*12*cos60
AB = 13.7 in
Please solve idk how to
Answer:
You have the right answer.
Step-by-step explanation:
The image might be blurry but its the best I can post.
That's solving it without the x and y values. Its still the answer you picked.
Hope this helps, have a good day! :)
(Brainliest would be appreciated?)
Answer:
5√xy
Step-by-step explanation:
√25x²y²/√xy= √25x²y²/xy= √25xy= 5√xy
1. A rectangular swimming pool measures 12 cm by 15 cm. What is the area of the pool?
2. A rectangular container of volume 123 cm cube is one-third full of water. What is the volume of water?
1) 180 square cm
Answer:
2) 41 cubic cm
Step-by-step explanation:
1)
Area of pool = 12 * 15 = 180 square cm
2) Volume of water = 1/3 * Volume of pool
= 1/3 *123
= 41 cubic cm
Which graph shows a proportional relationship
Answer:
b
Step-by-step explanation: