What is the value of a?
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]
Fill in the blanks for the expression
Answer:
Step-by-step explanation:
80
7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer
Answer:
12 square units
Step-by-step explanation:
The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the given grid, the following can be observed for triangle STU.
base SU = 6 units
height = 4 units
Thus,
area of triangle STU = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 6 x 4
= 3 x 4
area of triangle STU = 12 square units
The required area of triangle STU is 12 square units.
Keiko, Dale, and Tony sent a total of 95 text messages during the weekend. Dale sent 7 fewer messages than Kelko. Tony sent 4 times as many messages as
Keiko. How many messages did they each send?
Answer:
Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages
Step-by-step explanation:
Let x represent the number of messages that Keiko sent.
Since Dale sent 7 less than Keiko, his number can be represented by x - 7
Since Tony sent 4 times as many as Keiko, his number can be represented by 4x
Using these variables, create an equation:
(x) + (x - 7) + (4x) = 95
Add like terms and solve for x:
6x - 7 = 95
6x = 102
x = 17
So, Keiko sent 17 messages.
Subtract 7 from this to find how many Dale sent:
17 - 7
= 10
Multiply it by 4 to find how many Tony sent:
17(4)
= 68
So, Keiko sent 17 messages, Dale sent 10 messages, and Tony sent 68 messages
The picture shows the top view of a piece of glass. A rectangular piece of glass is shown. The length is measured as 4 feet. The width is measured as 2 and one-half feet. Which equations can be used to find the area, in square feet, of the piece of glass? Select all that apply. A. A = 2 1 2 × 4 B. A = 5 2 + 4 C. A = ( 2 1 2 + 2 1 2 ) + ( 4 + 4 ) D. A = 5 2 × 4 E. A = ( 2 × 2 1 2 ) + ( 2 × 4 ) F. A = 2 1 2 + 4 answer and u get brainlyest
Answer:
d. and e.
Step-by-step explanation:
i did the test
Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that A rectangular piece of glass is shown.
The length is measured as 4 feet.
The width is measured as 2 and one-half feet.
We have to find the equations can be used to find the area of the piece of glass.
Area=Length×width
Area=4 feet × 2 and one-half feet
=4×[tex]2\frac{1}{2}[/tex]
=4×5/2
Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×[tex]2\frac{1}{2}[/tex] and A=4×5/2.
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Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x≥1
Step-by-step explanation:
in town 35% of 15 000 voters did not cast vote in election How many people cast their votes?
Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
HELP!! i will vote brainlest answer
Answer:
D. 18
Step-by-step explanation:
The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°
= (5 - 2) * 180 = 540°
Therefore:
95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°
Solve for x
95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540
Add like terms
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
There are 160 adults and 285 children at a zoo. The zoo makes a total of $5,875 from the entrance fees, and the cost of an adult and a child to attend is $25, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is . The adult tickets cost $ and the child tickets cost $ .
Answer:
cbzxnphfgzhohdxhlkvcdtbcdil to m kl nhi aaugi
mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
interior
Step-by-step explanation:
exterior would be located outside the triangle.(10)
vertex is the point of the connected lines (12)
Five friends are sharing 7 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer:
1.4
Step-by-step explanation:
7 ÷ 5 = 1.4 or 7/5 as a fraction
Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogether on 6 games and rides. Graphically solve a system of equations in order to determine the number of games Victoria played, x,x, and the number of rides Victoria went on, yy.
Answer:
2 rides & 4 games
Step-by-step explanation:
2 rides=$8
4 games=$8
8+8=$16
Point (4,2), represents that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The number of games Victoria played, x, and the number of rides Victoria went on, y.
Each game costs $2 and each ride costs $4, so we can set up the following system of equations:
2x + 4y = 16
x + y = 6
To graphically solve this system of equations, we can plot the equations on the same coordinate plane and find the point where they intersect. This point will represent the values of x and y that satisfy both equations.
To plot the equations, we can first graph the equation 2x + 4y = 16.
The slope is 2 and the y-intercept is 4, so we can plot the line by starting at the point (0,4) and moving 2 units up and 1 unit to the right to find the next point on the line.
We can then connect this point to the first point with a straight line to complete the graph of the equation.
Next, we can graph the equation x + y = 6 similarly.
The point will represent the values of x and y that satisfy both equations.
In this case, we can see that the lines intersect at point (4,2), which means that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
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Find the value of the variable 7x + 19 11x -89 60°
Step-by-step explanation:
let third angle be x
60° + 60° + x = 180° (Δ sum property)
x = 60°
so, this is a equilateral triangle (all Δ equal)
-----------------------------------------in equilateral triangle --> all sides are equal
so, therefore =>>
7x + 19 = 11x - 89
19 + 89 = 11x - 7x
108 = 4x
108 ÷ 4 = x
27 = x
x = 27-----------------------------------------so variable
1.) 7x + 19
= 7(27) + 19
= 189 + 19
= 208
2.) 11x - 89
= 11(27) - 89
= 297 - 89
= 208
Is this correct hehevdhegged
Answer:
b is the correct answer
Step-by-step explanation:
btw can i have brainliest please
would this be a cone??
no that would NOT be a cone
That would not be a cone.
6 triangles and 10 squares what is the simplest ratio of triangles to squares?
Answer:
3:5
Step-by-step explanation:
To find the simplest ratio, divide each number by 2:
6/2
= 3
10/2
= 5
So, the simplest ratio of triangles to squares is 3:5
A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?
Answer:
Step-by-step explanation:
They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.
Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.
Mary and Lewis each open a savings account at the same time. Mary invests $3,700 in an account yielding 3.2% simple interest, and Lewis invests $3,000 in an account yielding 5.9% simple interest. After fifteen years, who has the greater total amount of money, and how much greater is it?
a.
Lewis has $879 more than Mary.
b.
Lewis has $179 more than Mary.
c.
Mary has $776 more than Lewis.
d.
Mary has $345 more than Lewis.
Answer:
lewis has $179 more than mary
Lewis has the greater total amount of money than Mary by $879
Given the following data:
Mary's principal = $3,700Mary's interest = 3.2% = 0.032Lewis's principal = $3,000Lewis's interest = 5.9% = 0.059Time = 15 years.To determine who has the greater total amount of money and by how much greater is it:
The formula for simple interest.Mathematically, simple interest is given by the formula:
[tex]S.I = PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.For Mary:[tex]S.I = 3700 \times 0.032 \times 15[/tex]
S.I = $1,776
For Lewis:[tex]S.I = 3000 \times 0.059 \times 15[/tex]
S.I = $2,655
Therefore, Lewis has the greater total amount of money.
Next, we would find the difference in their simple interest:
[tex]Difference = 2655-1776[/tex]
Difference = $879
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25 POINTS!!!!!!!!!!!
I WILL GIVE BRAINLEIST
I need the answers for
15.
16.
17
Volume of a cone is 48 pi and have a radius of 8 what is the height
Answer:
Step-by-step explanation:
the answer is in the pic open it
hope it help mark me as a brill please
Jordan typed 40 words a minute and he spends 1 minute typing a ending how many minute did it take him to write a sentence
i also heard that you can get points for answering questions.
Answer:
02920
Step-by-step explanation:
92823
will give the BRAINLIEST pls helpppppp
Answer:
pretty sure youre right kiddo
9x-6y=-12 and -2x+3y=-4 by elimination
Answer:
x = 4, y = 4 or you can say (4, 4)
How to do this here
Answer:
Step-by-step explanation:
Find the mode(s), if any, of the following numbers: 22, 54, 22, 36, 17, 22, 17, 18
NEED HELP! WILL GIVE BRAINLIEST! <3
Answer:
See explanation
Step-by-step explanation:
1) 5/10
2) 3/10
3) 2/10
4) 7/10
Answer:
1) [tex]\frac{5}{10} = \frac{1}{2}[/tex]
2) [tex]\frac{3}{10}[/tex]
3) [tex]\frac{2}{10} = \frac{1}{5}[/tex]
4) [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Probability = [tex]\frac{number of favourable outcomes}{total number of favourable outcomes}[/tex]
gray marbles = 5
white marbles = 3
black marbles = 2
total number of marbles = 10
Find the value of "X."
Pls show all your work
Answer:
x=22.25
Step-by-step explanation:
6x+2x+2=180
8x=178
x=22.25
...........................................................
Answer:
Top is A bottom is B. ........
What is the value of the expression 12.25 + (-17.75)?
Answer:
-5.5
Step-by-step explanation:
Drag the values to the correct locations on the image. Not all values will be used.
Susan is conducting a survey about the electric bills of households in her city. From the electric company, she found that the population mean is
$98.75 with a standard deviation of $10.45. Susan has a sample size of 60.
Complete the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie.
98.75
109.2
88.3
7.75
60
10.45
C
+
r
Answer:
[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
Step-by-step explanation:
x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.
We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60
Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.
This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
TL;DR
I took the test and the answer was right
The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
where we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).
What is the distribution of sample mean for large samples?Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]
Symbolically, we write it as:
[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]
(for large enough samples, n > 30)
For this case, we're specified that:
Population mean = [tex]\mu = $98.75[/tex] (dollars)Population standard deviation = [tex]\sigma = 10.45[/tex] (dollars)sample size = n = 60Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]
Symbolically, we get:
[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]
Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.
[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]
So, limits are:
[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]
Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
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