HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE
Answer:
x=24
Step-by-step explanation:
HE= 1/3(HG)
x-3=1/3(4x-15)
3x-9=4x-15
-x=-24
x=24
Answer:
HE=3
Step-by-step explanation:
Equations
With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.
Data:
HE=1/3 HG
HE=x-3
HG=4x-15
Replacing the last two equations in the first:
x-3=1/3(4x-15)
Multiply both sides by 3:
3(x-3)=4x-15
Operate:
3x-9=4x-15
Moving x's to the left and numbers to the right:
3x-4x=-15+9
Joining like terms:
-x=-6
Multiply by -1:
x=6
Since HE= x-3:
HE=6-3
HE=3
g precalc Linda works 30 hours per week between two part-time jobs: When she works as a waitress she receives $11.75 per hour and when she works as a math tutor she received $ 17.5 0 per hour. Since she has only 30 hours each week that she can work, the more hours she spends at one job, the fewer number of hours she can work at the second job. If Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress, how much money did she make last week working at both jobs
Answer:
She made $105.75 working as a waitress
She made $367.50 working as a maths tutor
Step-by-step explanation:
Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.
Hence, the number of hours worked as a maths tutor =
30 - 9
= 21 hours
When she works as a waitress she receives $11.75 per hour
Hence, $11.75 × 9 hours
= $105.75
Hence, she made $105.75 working as a waitress
When she works as a math tutor she received $ 17.50 per hour.
$17.50 × 21 hours
$367.50
Hence, she made $367.50 working as a waitress
9) Find the area of the triangle. *
As we can see it's right angle triangle
so:
[tex]Area \: of \: right \: angled \: triangle=( \frac{1}{2} )×base ×height[/tex]Answer:[tex]area \: of \: tringle= \frac{8 \times 6}{2} [/tex][tex]area \: of \: tringle \: = \frac{48}{2} [/tex][tex]area \: of \: triangle = 24✓[/tex]Please help, I’m very confused
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer:
A) (-4, 1)
B) graph C
Step-by-step explanation:
A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.
__
B) Look at the given inequalities. You are looking for two things:
which boundary line applieswhich side of that line is shadedHere, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...
2x ≥ -1
x ≥ -1/2
The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)
For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.
See the second attachment for what we're talking about here.
find standard deviation, o, for the binomial distribution which has the stated values of n and p. round your answer to the nearest hundredth. n =503: p=0.7
Answer:
Step-by-step explanation:
N=503
P=0.7
Sqrt(503×0.7(1-0.7))=10.28
The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
The value of n = 503
The value of p = 0.7
For the binomial distribution:
As we know,
The formula for the standard deviation:
σ = √[p(1 - p)n]
Plug the values of p, and n, we get:
σ = √[0.7(1 - 0.7)503]
σ = √[0.7(0.3)503]
σ = √[0.21x503]
σ = √[105.63]
σ = 10.277 ≈ 10.28
Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ5
Simplify ( -5r² ) (-6r³ )
A -30r⁶
B -30r
C 30r⁶
D 30r⁵
please help...
please see the picture .......................
Answer:
B
Explanation: dont got one
Ryan has 9 lollipops and 5 chocolate bars. What is the ratio of lollipops to chocolate bars?
Answer:
9:5
ratios are just putting the numbers next to each other with ':' in the middle
Step-by-step explanation:
Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
There are 60 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
Answer:
2\3x60=40
3\5x20=12
12+40=52
60-52=8
PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.
Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?
A. I,II and III
B. I and II only
C. I and III only
D. II and III only
Answer:
ITS B
Step-by-step explanation:
HOPEFULLY THIS WORKS!!!
A linear function and a quadratic function both have a domain of all real numbers.
True
False
?
Answer: True
Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.
Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.
PLZ HELP WILL GIVE BRAINLIST its for my 9 weeks exam plzzzz
Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random. What is the probability that the card selected will be a hockey card?
A. 1/2
B. 1/4
C. 1/9
D. 1/36
Answer: The probability of Dana selecting a hockey card will be a 4/36 or 1/9.
Work:
1.I added all of the cards together.
2.I saw that the number of hockey cards was 4 and divided it by 36 (the total number of cards)
3.Simplified
An interior wall of a building is made up of metal studs
Answer:
4 5/8"
Step-by-step explanation:
quizlet will have all the answers btw
Please help with is !!!!!!!!
which two perfect squares is 33.64 between
Answer:
5 and 6 or 25 and 36
Step-by-step explanation:
a rectangular suitcase measure 24 inches long and the diagonal is 30 inches long. the zipper covers the entire perimeter of the suitcase. how many inches of the zipper was needed to cover the perimeter of the suitcase?
Given parameters:
Length of the suitcase = 24 inches
Length of the diagonal = 30 inches
Unknown:
Length of zipper required to cover the perimeter = ?
The length of this zipper is the same as the perimeter of the rectangular suitcase.
Perimeter of a rectangle = 2(L + B)
where L is the length and B is the breadth
Now, let us find the find the unknown breadth;
Using Pythagoras theorem;
30² = 24² + Breadth²
Breadth² = 30² - 24² = 324
Breadth = √324 = 18 inches
Perimeter of the suitcase = 2(24 + 18) = 84 inches.
The length of zipper that will cover this suitcase is 84inches.
-2^2= 4 or -4??
i will give brainly
Answer:
4
Step-by-step explanation:
I am assuming you mean (-2)^2 and not -(2)^2, correct.
If i m wrong in the assumption and its the latter one, then it is -4 since you are taking the - of 4
Answer:
-4Step-by-step explanation:
[tex]-2^2=-4\ \text{because}\ -2^2=-(2\cdot2)=-4\\\\(-2)^2=4\ \text{because}\ (-2)^2=(-2)(-2)=4[/tex]
The parentheses are very important here.
The same in
[tex]\dfrac{2}{3}^2=\dfrac{4}{3}\\\\\left(\dfrac{2}{3}\right)^2=\dfrac{4}{9}[/tex]
Will give brainliest! plz answer!!
QUESTION 1 OF 5
4c + 5 < 4c + 3
Which of the follow
Answer: No solutions.
============================================
Work Shown:
4c + 5 < 4c + 3
4c+5-4c < 4c+3-4c ... subtract 4c from both sides
4c-4c+5 < 4c-4c+3
0c+5 < 0c+3
0+5 < 0+3
5 < 3 ... statement is false
Since that statement is false, this means the original inequality is false regardless of what you pick for c.
There are no solutions.
Proof practice for geometry!
Need Help!
idek dwjejdjjriiwknansns
Step-by-step explanation:
nmjwjw
After taking your Freshman English class, you notice there is quite a difference between the students in the classes related to your Business major and your general education requirements. You believe it comes down to a difference in verbal and math abilities. You are interested in seeing how your English classmates performed on two parts of the SAT. You randomly collect data from 28 students on their Math SAT score (population
1), and randomly select another 25 students and collect data on their Verbal SAT score (population
2). After entering the data into Excel you obtain the following output: t-Test: Two-Sample Assuming Unequal Variances Q=0.05 Math SAT Verbal SAT Mean 668. 7604 701.888 Variance 3826.406 6944.827 Observations 28 25 Hypothesized Mean Difference 0 df 44 t Stat P(T<=t) one-tail t Critical one-tail 1.68 P(T<=t) two-tail t Critical two-tail 2.01 What is the value of the test statistic to test if math and verbal scores differ in the SAT exam?
a. -1.479
b. There is not enough information to answer this question
C. -1.627
d. 30.116
e. 30.116
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size for Math SAT is [tex]n_1 = 28[/tex]
The sample size for Verbal SAT is [tex]n_2 = 25[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
substituting 668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for [tex] \sigma_1^2[/tex] , 6944.827 for [tex]\sigma_2^2[/tex]
So
[tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]
=> [tex]t = 1.627[/tex]
How do I order 7.21 7.2 7.083
Answer:
Step-by-step explanation:
Least to greatest:
7.083, 7.2, 7.21
Greatest to least:
7.2, 7.2, 7.083
Translate this sentence into an equation.
The sum of 14 and Greg's height is 64.
Use the variable g to represent Greg's height.
Answer:
g+14=64
Step-by-step explanation:
Answer:
64=14+g
Step-by-step explanation:
Sum of two numbers is 64, so that means you put 64 before the equals sign. All that remains is g and 14. It says the sum of 14 and g (gregs height) equals 64, so you know that in the equation they have to be added together.
5х + 2y — 7z help ? PleAse need it rn
Answer:
16
Step-by-step explanation:
5x + 2y - 7z
(x = 2, y = 10, z = 2)
First things first you would want to take the letters that the numbers are equal to and replace them with the numbers.
5(2) + 2(10) - 7(2)
Then you multiply the number that's beside the parentheses, 5(2) is the same as 5 x 2.
5(2) = 10
2(10) = 20
7(2) = 14
so now you have
10 + 20 - 14
10 + 20 = 30
30 - 14 = 16
and 16 is your final answer!
10073826222+881245893
Answer:
10,955,072,115
Step-by-step explanation:
On a coordinate plane, 2 trapezoids are shown. Trapezoid 1 has points A (negative 4, 3), B (1, 3), C (0, 0), and D (negative 3, 0). Trapezoid 2 has points A prime (negative 1, 1), B prime (4, 1), C prime (3, negative 2), and D prime (0, negative 2).
Which rule describes the translation?
it is c
Answer:
Horizontal shift by 3 units right and vertical shift by 2 units down or(x, y) → (x + 3, y -2)Step-by-step explanation:
GivenTrapezoid 1 with vertices
A(-4, 3), B(1, 3), C(0, 0), D(-3, 0)and
Trapezoid 2 with vertices
A'(-1, 1), B'(4, 1), C'(3, -2), D'(0, -2)It can be observed by comparison that:
x-values have increased by 3 unitsand
y-values have decreased by 2 unitsSo the rule of translation is:
Horizontal shift by 3 units right and vertical shift by 2 units down(x, y) → (x + 3, y -2)Answer:
3 units right, 2 units down(x, y) = (x + 3, y - 2)Step-by-step explanation:
another way is by graphing. (see attached)
the translation is:
3 units right, 2 units down.
or (x, y) = (x + 3, y - 2)
Please help! Find the missing side lengths. If you must round 1 decimal place.
Answer:
x=1.6
y=4.8
z=9
Step-by-step explanation:
Answer:
X=12.5
Y=3.2
Z=6
Step-by-step explanation:
i really need help fast!!
Answer:
16, 5, 28
Step-by-step explanation:
1 liter is equal to 4 servings
A fraction is ?
Please help
Answer:
In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole
Answer:
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.