Answers
Answer:
The order is 4) → 5) → 6) → 7) → 2) → 1) → 3)
Please find diagram with the arrangements
Step-by-step explanation:
The horizontal width of an hyperbola
For
1) [tex]\dfrac{(y - 11)^2}{7^2} -\dfrac{(x - 2)^2}{6^2} = 1[/tex]
h = 2, k = 11
The widths are;
Horizontal (h - a, k) to (h + a, k) which is (2 - 7, 11) to (2 + 7, 11) = 14 units wide
(h, k - b) to (h, k + b) which is (2, 11 -6) to (2, 11 + 6) = 12 units wide
2)
[tex]\dfrac{(y - 1)^2}{5^2} -\dfrac{(x - 7)^2}{12^2} = 1[/tex]
h = 7, k = 1
(h - a, k) to (h + a, k) which is (7 - 5, 1) to (7 + 5, 1) = Horizontal width 10 units wide
(h, k - b) to (h, k + b) which is (7, 1 -12) to (7, 1 + 12) = 24 units wide
3) [tex]\dfrac{(x - 6)^2}{6^2} -\dfrac{(y + 1)^2}{3^2} = 1[/tex]
h = 6, k = -1
a = 8, b = 3
The widths are;
(6 - 8, -1) to (6 + 8, -1) Horizontal width = 16
(6, -1 - 3) to 6, -1 + 3) width = 6
4) [tex]\dfrac{(x - 4)^2}{2^2} -\dfrac{(y + 2)^2}{5^2} = 1[/tex]
h = 4, k = -2, a = 2, b = 5
(4 - 2, (-2)) to (4 + 2, (-2)) Horizontal width = 4
(4, -2 - 5) to (4, -2 + 5) width = 10
5) [tex]\dfrac{(y + 5)^2}{2^2} -\dfrac{(x + 4)^2}{3^2} = 1[/tex]
h = -4, k = -5, a = 2, b = 3
(-4 - 2, (-5)) to (-4 + 2, (-5)) Horizontal width = 4
(-4, -5 - 3) to (4, -5 + 3) width = 6
6) [tex]\dfrac{(y + 1)^2}{2^2} -\dfrac{(x - 1)^2}{9^2} = 1[/tex]
h = 1, k = -1, a = 2, b = 9
(1 - 2, (-1)) to (1 + 2, (-1)) Horizontal width = 4
(1, -1 - 9) to (1, -1 + 9) width = 18
7) [tex]\dfrac{(x + 7)^2}{4^2} -\dfrac{(y - 9)^2}{9^2} = 1[/tex]
h = -7, k = 9, a = 4, b = 9
(-7 - 4, 9) to (-7 + 4, 9) Horizontal width = 8
(-7, 9 -9) to (-7, 9 + 9) width = 18
Related Questions
1. How can you find the decimal forms of 3/12 and 2/9 .
Answers
Answer:
3/12 as a decimal is 0.25
2/9 as a decimal is 0.2 reapeted
Answer:
Answer written below
Step-by-step explanation:
Divide 3 by 12 and 2 by 9 using long division solve like normal long division if your divisor is bigger than your dividend add a zero on top and add a zero to the dividend.
Decimal form of 3/12:0.25
Decimal form of 2/9:0.22223
Find the measure of each side indicated. Round to the nearest tenth.
A) 19.8
C) 24.9
B) 27.2
D) 25.3
Answers
Answer:
D. 25.3
Step-by-step explanation:
tan∅ = opposite over adjacent
Step 1: Write equation
tan66.5° = x/11
Step 2: Multiply both sides by 11
11tan66.5° = x
Step 3: Evaluate
x = 25.2983
x ≈ 25.3
Answer:
[tex]\huge\boxed{x = 25.3}[/tex]
Step-by-step explanation:
Tan θ = opposite / adjacent
Where θ = 66.5 , opposite = x and adjacent = 11
Tan 66.5 = x / 11
2.3 * 11 = x
25.3 = x
OR
x = 25.3
need help please will give good rating and show work
Answers
Step-by-step explanation:
u just need to imagine it was x^2-17X+16 in the beginning and add square onto the x after u factorise. then solve the x. hope it helps
Use the discriminant to determine the number of real solutions to the equation. 8n^2−7n=−7
Answers
Answer: no real solutions
Step-by-step explanation:
8n^2-7n+7=0
a=8, b=-7, c=7
b^2-4ac=(-7)^2-4*8*7=49-224=-175
-175<0
no real solutions
Answer:
Substitute 6 for the variable, n, using parentheses. Then simplify by multiplying 8 and 6. 8(6) = 48. So you have 56 = 48, which is not a true statement. 6 is not a solution to the equation.
Step-by-step explanation:
hope it helps
Please help me in finding the answer. Find x. (Congruent triangles)
Answers
Answer:
6.71cm
Step-by-step explanation:
a²+b²=c²
6²+3²=x²
sqrt(6²+3²)=6.71
Answer:
[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]
Step-by-step explanation:
The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.
a² + b² = c²
a and b are the lengths of the legs. c is the length of the hypotenuse.
6² + 3² = x²
Evaluate.
36 + 9 = x²
45 = x²
Take the square root of both sides.
√(45) = √(x²)
6.7082039325... = x
What is the name of the property illustrated in the equation below?
5+(3x+0)=5+3x
Answers
Answer:
Step-by-step explanation:
Additive identity property.
The sum of any number and zero is the original number
3x + 0 = 3x
HEEEEEEELLLLLLLPPPPPP!!!! Given the following perfect square trinomial, find the missing term: x2 − 16x + ___ 8 16 32 64
Answers
Answer:
64
Step-by-step explanation:
(x-8)^2
derived from the middle term divided by 2
Answer:
64
Step-by-step explanation:
x^2 − 16x + ___
Complete the square
Take the coefficient of the x term
-16
Divide by 2
-16/2 = -8
Then square it
(-8)^2 = 64
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other.
Answers
Answer:
where are the numbers
Step-by-step explanation:
La presa de Hidroituango tiene una altura de 225 m., alberga 20 millones de m^3 de volumen y una cresta de 550 metros de longitud, suponiendo que es un cuadrilátero con la base inferior de 200 m de longitud, determine las dimensiones y área superficial de la presa
Answers
Answer:
El ancho de la superficie = 444,44 my el largo = 200 m
La superficie de la superficie de la presa = 88888,89 m²
Step-by-step explanation:
Los parámetros dados son;
La altura del agua en la presa = 225 m
El volumen de agua en la presa, d = 20 millones de m³
La longitud de la base = 200 m
Sea el ancho de la presa = x
El volumen viene dado por la relación;
200 × 225 × x = 20 millones de m³
x = 20.000.000 / (200 × 225) = 444,44 m
Por tanto, las dimensiones de la superficie son ancho = 444,44 my largo = 200 m
El área de superficie de la superficie de la presa = 444.44 × 200 = 88888.89 m².
What else would need to be congruent to show that AABC = APQR by SSS?
Giver
AC =PR
BC = QR
A AC = PQ
B. AB = PQ
C. ZAZP
D. ABBA
Answers
Answer:
B, because that's the side that wasn't given
Step-by-step explanation:
The statement AB ≅ PQ is required to be congruent.
Option B is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
Now,
ΔABC and ΔPQR
AC ≅ PR (given) (side)
BC ≅ QR (given ) (side)
AB ≅ PQ (side)
ΔABC ≅ ΔPQR (SSS)
Thus,
AB ≅ PQ is required to be congruent.
Learn more about triangle congruency here:
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a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas
Answers
Explanation: Since the car gets 27 mpg in the city and gets 35 mpg on the highway, you can set it up in the inequality 27 < < 35 and this represents the range a car can drive for 1 gallon, so to find the range for 3 gallons, you multiply this inequality by 3.
27(3)<<35(3)
27(3)=81
35(3)=105
Then you can insert the numbers into the inequality to get 81<<105.
Find x. A. 22 B. 113–√ C. 222–√ D. 113√3
Answers
Answer:
x = 31.12
Step-by-step explanation:
First find the base (hypotenuse) of the smaller triangle (the isosceles triangle): Its three sides are 11, 11 and b. b can be found using the Pythagorean Theorem: b^2 = 11^2 + 11^2 = 242. Then b = √242, or b = approximately 15.56.
b (which is approximately 15.56) is the shorter leg of the large (right) triangle. The trig function needed to solve for x is the cosine:
adjacent side
cos 60 degrees = ----------------------
hypotenuse,
15.56
which becomes (1/2) = ------------
x
Solving this for x, we get: x = 2(15.56) = 31.12
plz.someone help me one question only plz.plz
Answers
Answer:
x = 30
b = 30
a = 90
Step-by-step explanation:
So first let's find the 'X'
we already know one angle - 30 degrees
i think you should know the straight equals 180 so we minus 180 to 30
- 180 - 30 = 150
then we know there is 2x and 3x, which is unknown so in this we actually divide 150 with 5 cause 2 + 3 = 5, to get the x value
so x = 30
____________________________________________________
so you know the progress so I will write the answers now
x = 30
b = 30
a = 90
___
so just to check the answers I will add all the numbers to equal it to 360
30 + 90 + 60 + 30 + 60 + 90 = 360
Answer:
Step-by-step explanation:
30 + 2x + 3x = 180 {Straight line angles}
30 + 5x = 180 {Combine like terms}
5x = 180 - 30 {Subtract 30 from both sides}
5x = 150
x = 150/5 {divide both sides by 5}
x = 30
30 + 3x + a = 180 {Straight line angles}
30 + 3*30 + a = 180
30 + 90 + a = 180
120 + a = 180
{Subtract 120 from both sides}
a = 180 - 120
a = 60
b + 2b + a = 180 {Straight line angles}
3b + a = 180
3b + 60 = 180
3b = 180 - 60 {Subtract 60 from both sides}
3b = 120
b = 120/3
b = 40
1. write it on a piece of paper
Answers
[tex]\\ \sf\longmapsto 1\dfrac{1}{2}+2\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{2}+\dfrac{11}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6+11}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{4}[/tex]
2:-
[tex]\\ \sf\longmapsto 4\dfrac{3}{7}+6\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{31}{7}+\dfrac{31}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{155+225}{35}[/tex]
[tex]\\ \sf\longmapsto \dfrac{380}{35}[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
3:-
[tex]\\ \sf\longmapsto 4\dfrac{2}{5}+5\dfrac{2}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22}{5}+\dfrac{32}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{132+160}{30}[/tex]
[tex]\\ \sf\longmapsto \dfrac{292}{30}[/tex]
4:-
[tex]\\ \sf\longmapsto 3\dfrac{7}{7}+3\dfrac{1}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{28}{7}+\dfrac{10}{3}[/tex]
[tex]\\ \sf\longmapsto 4+\dfrac{10}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{12+10}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22}{3}[/tex]
[tex] \bf \large \longrightarrow \: \: 1 \frac{1}{2} \: + \: 2 \frac{3}{4} \: = \: \\ [/tex]
[tex] \bf \large \longrightarrow \: \: \frac{3}{2} \: + \: \frac{11}{4} \\ [/tex]
[tex] \bf \large \longrightarrow \: \: \frac{6 \: + \:11 }{4} \\ [/tex]
[tex] \bf \large \longrightarrow \: \: \frac{17}{4} \\ [/tex]
2.[tex]\bf \large \longrightarrow \: \: 4 \frac{3}{7} \: + \: 6 \frac{1}{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{31}{7} \: + \: \frac{31}{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{155 \: + \: 217}{35} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{372}{35} \\ [/tex]
3.[tex]\bf \large \longrightarrow \: \: 4 \frac{2}{5} \: + \: 5 \frac{2}{6} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{22}{5} \: + \: \frac{32}{6} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{132 \: + \: 160}{30} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{292}{30} \\ [/tex]
4.[tex]\bf \large \longrightarrow \: \: 3 \frac{7}{7} \: + \: 3 \frac{1}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{28}{7} \: + \: \frac{10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \cancel\frac{28 ^{4} }{7 \: ^{1} } \: + \: \frac{10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{4}{1} \: + \: \frac{10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{12 \: + \: 10}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: \frac{22}{3} \\ [/tex]
Please help, I’m so confused
Answers
The best value for each of the characteristics of the parabola are presented in the following table;
The table of best values of parabola characteristics
[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]
The process of obtaining the above values is shown as follows;
The given parameters are;
To justify the area of a circle, the argument Yvonne wants to use = The dissection argument
The shape to which the reassembled figure tends to approximate = A parallelogram
Description of the of the reassembled figure
The horizontal parallel sides of the parallelogram formed = The arcs of the circle
The other pair of parallel sides = The radius of the circle
The best values of the characteristics of the parallelogram given in the table are therefore found as follows;
(a) The base of the parallelogram = (1/2) the total sum of the arcs in a circle = (1/2) the circumference of the circle = π·r
∴ The base of the parallelogram = π·r
(b) The height of the parallelogram = The perpendicular distance from the tip of one of the sectors to the midpoint of the arc of the sector = The radius of the circle = r
∴ The height of the parallelogram = r
(c) The area of the parallelogram, A = The sum of the area of the sectors
A = (n × θ/360) × π·r²
Where;
n × θ = 360°
Therefore;
A = (n × θ/360) × π·r² = (360/360) × π·r² = π·r²
We have;
The area of the parallelogram, A = π·r²
The table showing the best value of each characteristics of the parallelogram is therefore presented as follows;
[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]
Learn more about geometric figures (circles, and parallelogram) here;
https://brainly.com/question/16663192
https://brainly.com/question/24054192
Given two consecutive even integers whose sum is 186, find the smaller of the two integers.
Answers
Answer:
92 is the smaller even integer
Step-by-step explanation:
x = first even integer
x+2 = second even integer
(x) + (x+2) = 186
Combine like terms
2x+2 = 186
Subtract 2 from each side
2x+2-2 =186-2
2x = 184
Divide by 2
2x/2 = 184/2
x = 92
x+2 = 94
Step-by-step explanation:
let,two even consecutive number be x and x+2
now,according to the question
x+x+2=186
or, 2x=186-2
or, 2x= 184
or, x= 184/2
:- x= 92
Hence,
x=92 and x+2= 94
two even consecutive numbers are 92 and 94
if a right triangle has one side measuring 4 and another side measuring 6, what is the length of the hypotenuse
Answers
Answer:
[tex]\sqrt{52}[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} =c^{2}[/tex]
Here, a = 4, and b = 6. So if you square a, you get 16. If you square b, you get 36.
16+36 = 52 = [tex]c^{2}[/tex]
Take the square root of 52 and [tex]c^{2}[/tex] and you get that c = [tex]\sqrt{52}[/tex]
This can be simplified further. c = [tex]\sqrt{52} = \sqrt{13*4} = 2\sqrt{13}[/tex]
simplify: 2y + 16 + 2y + 30 + 4y - 13 + 3y - 21
Answers
Answer:
2y + 16 +2y +30 +4y –13 +3y - 21
11y + 12
I hope I helped you^_^
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Determine the Value of K in the diagram ( secant lines to circles).
Answers
Answer:
6
Step-by-step explanation:
5
Answer:
k = 10
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
2x(2x + kx) = 3x(3x + 5x)
4x² + 2kx² = 3x × 8x = 24x² ( subtract 4x² from both sides )
2kx² = 20x² ( divide both sides by 2x² )
k = 10
PLEASE HELP How can a company use a scatter plot to make future sale decisions
Answers
Answer:
From scatter plot companies can predict future sales, and what will happen next. To help with this predictions most companies draw a line through the scattered plot called best-fit line. This line should be close to most of the points on the scattered line. Approximately half the point on the top of the line and half on the bottom.In this case the company will ignore the points tat far away from the line.
Scatter plots are useful to compare two variables to see how they relate to one another (if there is any relationship at all). One example could be comparing the temperature outside versus the sales of ice cream. The general trend is that the warmer it gets, the more sales you'll have. So there's an upward trend. We can also say there's a positive correlation as both variables go up together (or go down together).
Contrast this with negative correlation where one variable goes up and the other goes down (eg: hours spent watching tv versus exam score).
Of course, the ice cream example could be too simple and often overused, so it might be better to use something more specific to the company in question. If you picked a company dealing with health/medicine, then you could look at something like height versus weight and see if there's a correlation going on.
Please help explanation if possible
Answers
Answer:
(- 3, 2 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 3 → (1)
- 2x + 3y = 12 → (2)
Subtract (1 ) from (2) term by term to eliminate y
- 2x - x + (3y - 3y) = 12 - 3
- 3x = 9 ( divide both sides by - 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and solve for y
Substituting into (1)
- 3 + 3y = 3 ( add 3 to both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (- 3, 2 )
Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - is the spray foam costs $3.15 per cubic meter, how much will it cost Mary to get her whole attic done?
Answers
Answer:
D 1,433.25
Step-by-step explanation:
1/2(10)(7)=35
35*13=455
455*3.15=1,433.25
Answer:
D
Step-by-step explanation:
You need to find the volume of the attic (I would find the surface area myself -- but this is math. You just have to obey the rules of the question no matter how silly).
The Volume is found by V = B * h1
The base is a triangle.
b = 7 m
h1 = 10 m
Area = 1/2 * 7 * 10
area = 35 m^2
The volume of the attic is
V = B * h
V = 35 * 13
V = 455 m^3
The cost = cost /m^3 * m^3
m^3 = 455
Cost = 3.15 * 455
Cost = 1433.25
The midpoint of line segment AB is (1,2). if the coordinates of A are (1,0) what are the coordinates of B
Answers
The required coordinate of B will be at (1, 4)
When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;
[tex]M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ][/tex] where:
[tex]X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}[/tex]
From the question, we are given the following coordinate points
[tex]X=1\\x_1=1\\[/tex]
Get x₂;
[tex]X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1\\[/tex]
Get y₂;
[tex]Y =\frac{y_2+y_1}{2}\\2 =\frac{y_2+0}{2}\\2 \times 2=y_2+0\\4=y_2+0\\y_2=4\\[/tex]
Hence the coordinate of B will be (1, 4)
Learn more about the midpoint here: https://brainly.com/question/18315903
Nazia has two quarts of a 30% acid solution and four pints of a 20% acid solution. If she mixes them, what will be the concentration of the resulting solution? [1 quart = 2 pints]
Answers
Answer: Acid concentration will be 25%.
Step-by-step explanation:
Solution 1: 2 quarts(=4 pints) of a 30% acid
concentration = 0.3*4 = 1.2
Solution 2: 4 pint of a 20% acid
concentration = 4*0.2 = 0.8
Final solution: total volume = 4 pints + 4 pints = 8 pints
Final Concentration:
[tex]\frac{1.2+0.8}{8}[/tex] = 0.25
In the resulting mixture, the concentration is 25% of acid solution.
To which set or sets below does the number -1/2 belong
Answers
Explanation:
The number -1/2 is rational as it is a fraction or ratio of two integers (-1 and 2). We can never have 0 in the denominator. Since it is rational, it means the number is not irrational. Recall that "irrational" means "not rational", so it is the opposite of rational.
-1/2 = -0.5 is not a whole number as it has a fractional or decimal portion. This means -1/2 is not an integer either, nor is it a natural number. The negative portion is another reason to exclude -1/2 from the list of whole numbers and natural numbers.
But we can say that -1/2 = -0.5 is a real number. Any number you encountered so far is a real number until you get to the complex numbers.
Please answer this question now
Answers
Hi there! :)
Answer:
[tex]\huge\boxed{V = 359.01 mm^{3} }[/tex]
Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:
Find the area of the base:
b = π(7)²
b = 49π
b = 153.86 mm²
Find the volume:
V = 1/3(153.86 · 7)
V = 1/3(1077.02)
V = 359.006 ≈ 359.01 mm³.
There are 45 pupils in a competition. 2/5 of the pupils are girls. How many boys are there in the competition?
Answers
Answer:
45 * 3/5 = 135/5 = 27
Step-by-step explanation:
9 x 2 = 18
45 - 18 = 27
There are 27 boys in the competition
Find the missing value.
Hint: Use the number line to find the missing value.
-5 = –10+
Answers
Answer:
the missing values is 5
I hope it's helps you
Flaming BBQ restaurant makes a dipping sauce with 9 mL of hot sauce for every 6 ounces of barbecue sauce. Which of the following mixtures will taste the same as flaming BBQ's dipping sauce?
Choose 3 answers:
A. 6 mL of hot sauce mixed with 20 oz of barbecue sauce
B. 3 mL of hot sauce mixed with 2 oz of barbecue sauce
C. 45 mL of hot sauce mixed with 30 oz of barbecue sauce
D. 24 mL of hot sauce mixed with 18 oz of barbecue sauce
E. 12 mL of hot sauce mixed with 8 oz of barbecue sauce
pls help me ;-;
Answers
Answer:
B, C , and E
Step-by-step explanation:
for 9 ml of hot sauce (x) +6 ounces of BBQ sauce(y)= flaming BBQ(c)
9x+6y=c
B: 3x+2y will give the same taste ( the quantity reduced to one third)
C: 45x+30y will give the same taste ( the quantity multiply by 5)
E:12 x+8y will give the same taste ( the quantity multiplied by 0.75)
There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?