Answer:
Let m represent the number of minutes.
Amount of water in Karla's tank: 100 + 5m
Amount of water in Jake's tank: 50 + 10m
Same amount of water: 100 + 5m = 50 + 10 m
---> 100 = 50 + 5m
---> 50 = 5m
---> 10 = m
In ten minutes, Karla's tank will have 100 + 5(10) = 100 + 50 = 150 gallons.
In ten minutes, Jake's tank will have 50 + 10(10) = 50 + 100 = 150 gallons.
Step-by-step explanation:
hope this helped!
the polygons in each pair are similar. find the scale factor of the smaller figure to larger figure.
Answer:
Scale factor = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
From the picture given in the question,
If the larger figure is dilated to form the smaller figure,
Scale factor by which a figure is dilated with is determined by the expression,
Scale factor = [tex]\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
i need help with this
Answer:
A) (-8, -16)
B) (0, 48)
C) (-4, 0), (-12, 0)
Step-by-step explanation:
A) the vertex is the minimum y value.
extremes of a function we get by using the first derivation and solving it for y' = 0.
y = x² + 16x + 48
y' = 2x + 16 = 0
2x = -16
x = -8
so, the vertex is at x=-8.
the y value is (-8)² + 16(-8) + 48 = 64 - 128 + 48 = -16
B) is totally simple. it is f(0) or x=0. so, y is 48.
C) is the solution of the equation for y = 0.
the solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case here
a=1
b=16
c=48
x = (-16 ± sqrt(16² - 4×48)) / 2 = (-16 ± sqrt(256-192)) / 2 =
= (-16 ± sqrt(64)) / 2 = (-16 ± 8) / 2 = (-8 ± 4)
x1 = -8 + 4 = -4
x2 = -8 - 4 = -12
so the x- intercepts are (-4, 0), (-12, 0)
For the function g(x)=2x-9 , determine x when g(x)=-15.
Answer:
-3
Step-by-step explanation:
Input -3 for x.
2*-3 - 9
then simplify.
Find the measurement of the diagonal indicated in the following parallelogram
Answer:
If KF = 19, then KM = 38.
Step-by-step explanation:
The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:
2(KF) = KM
2(19) = KM
38 = KM
There are 170 students in year 7 at a school
All of these students either walk to school, get the bus to school or cycle to school.
82 of the students are boys
33 of the students get the bus to school.
19 of the 41 students that walk to school are boys.
56 girls eyele to school.
Complete the two way table.
Walk
Bus
Cyele
Total
Boy's
Girls
Total
Answer:
Boys Girls Total
Walk 19 22 41
Bus 23 10 33
Cycle 40 56 96
Total 82 88 170
(06.05 MC)
A juice company did a survey among 100 customers to find their juice preferences. The customers
were asked about their preferences for apple or orange juices. Out of the total 35 people who liked
apple juice, eight also liked orange juice. There were 20 people who liked orange juice.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
(5 points)
Like apple juice
Do not like
apple juice
Total
A
B
с
Like orange juice
D
E
Do not like
orange juice
F
H
G
Total
I
Part B: What percentage of the survey respondents did not like either apple or orange juice? (3
points)
Part C: Do the survey results reveal a greater dislike for apple juice or orange juice? Justify your
answer. (2 points)
(10 points)
Answer:
Part A: A = 8
B = 20
C = 28
D = 35
E = 37
F = 72
G = 43
H = 57
I = 200
Part B: 18.5%
Part C:
D = People who do not like Orange Juice
B = People who do not like Apple Juice
I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.
D = 35
B = 20
So there is a greater dislike for Orange Juice.
Step-by-step explanation:
Help pleaseeeee:)))))))
5 by 3
3rd one
there we have to find hypotenuse.
Answer:
+- 5/3
Step-by-step explanation:
When we construct a right triangle with legs with length 3 and 4. The hypoteneuse must 5. Since tan(x) = opp/adj = 4/3 and sec(x) = hyp/adj,
We get the answer to be 5/3. Now there is a +- there because if we use the unit circle, if we take the point (-3, -4), we get tan(x) = (-4/-3) = 4/3. However, the hypoteneuse for sec(x) is always positive so sec(x) = 5/-3 = -5/3.
That is why there are two solutions, one with the terminal arm in Q3 and one in Q1. But that's the explanation using the unit circle.
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first.
The system described above is represented by the following equations:
Answer:
Hello,
First equation is false
Second equation is true
Step-by-step explanation:
1)
(4,-3) is a point of the line y=4x-19 since
-3=?4*4-19
-3=-3
2)
(4,-3) is not a point of the line y=1/4x-2 since
-3=? 1/4*4-2
-3=? 1-2
-3≠-1
I have written that because it is difficult for me to understand
"the negative reciprocal of the slope of the first"
the negative reciprocal of 4 should be -1/4.
Equation y=1/4x-2 is false.
16. DEFG is a square. Find the value
of x.
Answer:
calculate the volume of a prism whose length is 25cm and cross-section is an equilateral triangle of sides 3
Answer:
a square adds up to 360°degrees so 1 angle adds to 90degrees so 18x° =90°
so x=5
Find g(5)+h(2)
g(x)=2x-5
h(x)=4x+5
Step-by-step explanation:
g(5)=2(5)-5=5
h(2)=4(2)+5=13
g(5)+h(2)=5+13=18
What is the approximate area of the circle shown below?
Answer:
A = 616 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (14)^2
A = pi (196)
Using 3.14 as an approximation for pi
A = 3.14 *196
A =615.44
The nearest approximation is
A = 616 cm^2
Answer:
D 616 cm^2
Step-by-step explanation:
Area = pi r^2
= 14^2 * 3.142
= 615.832
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answer:
Yes
Step-by-step explanation:
First, we know that 40 minutes = 8 gallons filled up. We have another equation, v=2.5t, that includes time and volume. If we can make the first equation in terms of time, we can figure out the relative speeds of water entering/exiting the bathtub.
To make 40 minutes = 8 gallons in terms of t, or minutes, we can divide both sides by 8 to get
5 minutes = 1 gallon
5t = v
Therefore, for water entering the tub, we get
5t = v, and for water draining out, we get
2.5t = v
As the time is always positive, the water entering the tub (5t) will always be greater than the water exiting the tub. Therefore, as more water goes in than out, the tub will gradually increase in water level and will eventually overflow
Draw a 6 × 6 grid. Colour 1
4
of the grid red, 1
3
blue, and the remaining part
yellow.
a) How many squares are red? b) How many squares are blue?
c) What fraction of the grid is yellow?
Answer:
Step-by-step explanation:
there are 36 squares
red takes 1 of 4 so red has 9
blue takes 1 of 3 so blue has 12
5 of 12 of the grid is yellow
Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 24,00. La semana pasada pidieron un batido de fresa y cuatro batidos de proteínas por un total de $ 25,50. El sistema que representa sus compras se encuentra a continuación. x + 4 y = 25,50 3 x + 2 y = 24,00 ¿Cuál es el precio de un batido de proteínas? $ 3,75 $ 4.50 $ 4.95 $ 5.25
Answer:
Un batido de proteínas cuesta $ 5,25.
Step-by-step explanation:
El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:
Este es el sistema a resolver:
[tex]x + 4\cdot y = 25,50[/tex] (1)
[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)
Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:
1) Despejamos [tex]x[/tex] en (1):
[tex]x = 25,50 - 4\cdot y[/tex]
2) Eliminamos [tex]x[/tex] en (2):
[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]
[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]
3) Simplificamos y despejamos [tex]y[/tex]:
[tex]10\cdot y = 52,50[/tex]
[tex]y = 5,25[/tex]
Un batido de proteínas cuesta $ 5,25.
In this truss bridge, AAOB ABDC. AO=5 meters, BD=10 meters, AB=5 meters. What is the length of BC? A. 5 m B. 8 m C. 10 m D. 15 m
Consider [tex]\Delta AOB\cong \Delta BDC[/tex].
Given:
[tex]\Delta AOB\cong \Delta BDC, AO=5\ m,BD=10\ m, AB=5\ m.[/tex]
To find:
The length of BC.
Solution:
We have,
[tex]\Delta AOB\cong \Delta BDC[/tex]
We know that the corresponding parts of congruent triangles are congruent (CPCTC).
[tex]AB=BC[/tex] (CPCTC)
[tex]5\ m=BC[/tex]
The length of BC is 5 m. Therefore, the correct option is A.
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
they don't share any points
that's one thing, but I don't know what your options are of course.
see screenshot for illustration of the inequalities
The amount of grain that a shape will hold is called the surface area.
True
False
Answer:
false =D
Step-by-step explanation:
A set of composite number less than 12.Express it in listing and set-builder methods
composite numbers less than 12={1,3,4,6,8,9,10}
How was the graph of RootIndex 3 StartRoot x EndRoot shifted to form the translation?
2 units up
2 units down
2 units left
2 units right
Answer:
2 units up
Step-by-step explanation:
If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.
Answer:
2 up
Step-by-step explanation:
i took the test
Could anyone please help me with this question, this is my last one?
#iamarookie
Giving away 15 points this time and I just need help on QUESTION B!
Answer:
28 = 2² x 7
Step-by-step explanation:
Factors of 28: 1, 2, 4, 7, 14, 28.
Prime factorization: 28 = 2 x 2 x 7, which can also be written 28 = 2² x 7.
Rewrite the expression in the form y^n. (y^-1/2)^4
Answer:
y^ -2
Step-by-step explanation:
We know that a^b^c = a^(b*c)
(y^-1/2)^4
y^(-1/2*4)
y^ -2
Answer:
Step-by-step explanation:
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Answer:
8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)
Step-by-step explanation:
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Distribute
8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)
What is the equation of a vertical line through the point (3, 2)?
Answer:
If you consider what the slope looks like for a vertical line, it is an infinite slope. What that means is that you cannot have a y-value in your equation:
x = 3
This x-value would be a vertical line that passes through all y-values for x = 3. So you can replace them in (3, y) with any value, and it will be included in the linear equation x = 3.
Can someone explain this / answer, Its a picture
Answer:
option c is the correct answer (l=1 cm and w=42cm)
Step-by-step explanation:
length(l) = 1.00cm
width(w)= 42.00 cm
ACCORDING TO FORMULA
Area of rectangle = l×w
=1 cm × 42 cm
= 42cm^2
solue for &
X(3 + X) = 3x + x²
3x+x^2=3x+x^2
3x-3x=x^2-x^2
which means x=0
HURRY I NEED TO KNOW.... what term can you add to 5/6)x -4 to make it equivalent to 1/2x-4?
Answer:
(-1/3)x
Step-by-step explanation:
You can either solve this algebraically or solve it by testing one possible answer at a time.
First example: To (5/6)x - 4, add (-1/3)x. Result: (3/6)x - 4. This is correct.
The correct answer is the first one: (-1/3)x.
Simplify the expression. Write the answer using scientific notation.
(2 x 10^13)^-2
Answer:
2.5 x 10^-27
Step-by-step explanation:
(2 x 10^13)^-2
= (2^-2) x (10^13) ^-2
= 0.25 x 10^-26
= 2.5 x 10^-27
Answered by Gauthmath
An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What is the length of this segment?
Answer: [tex]7.48\ cm[/tex]
Step-by-step explanation:
Given
The equal side of two isosceles triangle are [tex]9\ cm[/tex] long
Base of the triangle is [tex]10\ cm[/tex] long
Median divides the base into two equal halves
from the figure, it can be written
[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]
The length of the segment is [tex]7.48\ cm[/tex]
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing service during the night and whether or not these patients are on Medicare. The data are presented here: Patient Category Medicare Surgical Medical Yes 46 52 No 36 43 Test the hypothesis (using ) that calls by surgical-medical patients are independent of whether the patients are receiving Medicare. Find to 2 decimal places the P-value for this test. The evidence Choose the answer from the menu in accordance to the question statement sufficient to claim that surgical-medical patients and Medicare status are dependent.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43[/tex]
[tex]\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}[/tex]
[tex]=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976[/tex]
P-value= [tex]CHIDIST(0.032976,1) = 0.86.[/tex]
thus, the surgical-medical patients and Medicare are dependent.
