Answer:
x = 45
Step-by-step explanation:
1. Replace y with 15
x - 15 = 30
2. Add 15 to both sides
x - 15 + 15 = 30 + 15
3. Combine like terms
x = 45
Change 2x+y=-4 into slope-intercept form with steps
Solve for the missing monomial F.
-27x3y - (-3x)(F)
Answer:
7
Step-by-step explanation:
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
The mean and standard deviation of Y is $6.56 and $2.77 respectively.
Step-by-step explanation:
Consider the provided information.
Let Y represent their profit on a randomly selected pizza with this promotion.
The company is going to run a promotion where customers get $2 off any size pizza.
Therefore, [tex]Y=\text{Profit}-\$2[/tex]
[tex]Y=X-\$2[/tex]
So the mean will be reduced by 2.
[tex]\mu_Y=\mu_X-\$2[/tex]
[tex]\mu_Y =\$ 8.56 - \$2[/tex]
[tex]\mu_Y =\$6.56[/tex]
If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.
Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]
Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.
(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?
Answer: 6%
Step-by-step explanation:
3400's x%=204
(3400)x/100=204
34x=204
34x/34=204/34
I used my calculator to divide
x=6
So 6%
write the equation of the line for the following table of values.
x. -3 -5 -7 -9 -11
y. -16 -26 -36 -46 -56
Plz helppp 35 points:)
Answer:
We conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
(-3, -16)(-5, -26)Determining the slope between (-3, -16) and (-5, -26)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)[/tex]
[tex]m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}[/tex]
[tex]m=5[/tex]
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
[tex]y = mx+b[/tex]
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y = 5x + 1[/tex]
Therefore, we conclude that the equation of the line is:
[tex]y = 5x + 1[/tex]Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075
Answer:
D.) 0.075
Step-by-step explanation:
The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled $22,210. The adult admission is $5.50, and the children’s admission is $3.50. How many adult patrons were there?
Answer:
x= 2,180
x= number of adult tickets sold
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adult tickets sold
y= number of children tickets sold
5.5x + 3.5y = 22,210
x + y = 5,100
Now, we isolate one variable in a formula and substitute its value in the other:
x= 5,100 - y
5.5*(5,100 - y) + 3.5y= 22,210
28,050 - 5.5y +3.5y = 22,210
2y= 5,840
y= 2,920
x= 5,100 - 2,920
x= 2,180
What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST
Answer:
It contains 0 or 2 triangles.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Graph the solution set to this inequality 3x -12 >_ 7x+4
Answer:
x [tex]\leq[/tex] -4
Step-by-step explanation:
1. 3x-12 [tex]\geq[/tex] 7x+4
add 12 to 12 to cancel it out, add 12 to 4.
2. 3x [tex]\geq[/tex] 7x+16
subtract 7x from 7x to cancel it out, subtract 7x from 3x.
3. -4x [tex]\geq[/tex] 16
divide -4 from -4x to cancel it out, divide -4 from 16.
4. x [tex]\geq[/tex] -4
since division was involved, the inequality symbol needs to be reversed.
ANSWER: x [tex]\leq[/tex] -4
The market is located at point (−3, −2) on the coordinate graph.
The barber shop is 6 units to the right and 5 units up from the market.
Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.
Answer:
(2,4)
Step-by-step explanation:
What interval notation represents the data graphed below?
A. [-∞, -2) U [4, ∞]
B. [-∞, -2] U (4, ∞]
C. (-∞, -2] U (4, ∞]
D. (-∞, -2) U [4, ∞)
Answer: Choice D
[tex](-\infty, -2) \cup [4, \infty)[/tex]
=====================================================
Explanation:
The left portion is the interval (-∞, -2)
This is a shorthand way of saying [tex]-\infty < x < -2[/tex]
The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.
In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to [tex]4 \le x < \infty[/tex]
Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.
All of this builds up to the full interval notation to be [tex](-\infty, -2) \cup [4, \infty)[/tex]
The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
What is | -7.9 ?
help
help please pleasdes
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
I need help on deltamath
Answer:
(-4,-5)
Step-by-step explanation:
(x,y)... always x-axis first and then y-axis
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset
Answer:
-9
Step-by-step explanation:
The sum of -2 and -7 is given as follows;
-2 + (-7)
In mathematical operations, + * - is -.
So we have;
-2 - 7
This gives us: -9
Answer:
10
Step-by-step explanation:
im on enginuity leson multiplying with intager tiles qestion 4
If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?
Answer:
About 3
Step-by-step explanation:
Step-by-step explanation:
10 men =4 days
8 men =x days
cross multiply
10×x=8×4=24
Factor 24x – 18 using the GCF
Answer:
24x – 18
6(4x-3)is required factor.
Why is it impossible for m
Answer:
? What M? What is impossible?
solve the equation. 7+3lnx=20
Answer:
Simplifying
7 + 3lnx = 15
Solving
7 + 3lnx = 15
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3lnx = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 3lnx = 15 + -7
3lnx = 15 + -7
Combine like terms: 15 + -7 = 8
3lnx = 8
Divide each side by '3nx'.
l = 2.666666667n-1x-1
Simplifying
l = 2.666666667n-1x-1
Answer:
The answer for " X" would be,
[tex]x = \frac{13}{3in} [/tex]
The answer for "N" would be,
[tex]n = \frac{13}{3ix} [/tex]
Which brand would Cala need more of to fertilize her 450-foot row of vegetables
Answer:
What do,you mean
Step-by-step explanation:
I'm supposed to solve for PQ. it's pythagorean theorem.
Answer:
29 i think
Step-by-step explanation:
pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29
Which of the following graphs represents a function?
9514 1404 393
Answer:
(a) see below
Step-by-step explanation:
The graph that has no two points one above the other is the graph of a function. That is the first of your attachments.
find the area or this triangle
Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: [tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))[/tex]
We have: [tex]x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5[/tex]
Putting values and finding area
[tex]Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15[/tex]
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.
Answer:
5/6 is eaqual to 2.5/3
Step-by-step explanation:
plzzzzzzzzz help
Volume of the following triangular prism is 960 cm3…
a) Determine the length of the base of the triangle.
b) Determine the area of the triangle.
help plz
Answer:
Step-by-step explanation:
a). By applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
20² = 16² + BC²
BC = [tex]\sqrt{400-256}[/tex]
= 12
Therefore, another leg of the triangular base = 12 cm
Area of the triangular base ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(12)[/tex]
= 96 cm²
Volume of a triangular prism = Area of the triangular base × height
960 = 96 × b
b = 10 cm
b). Area of the triangle ABC = 96 cm²
Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
What would be the correct order of operations to evaluate the following expression?
Multiply, Multiply, Add, Subtract
Multiply, Add, Subtract, Subtract
Multiply, Subtract, Add, Add
Multiply, Subtract, Add, Subtract
Answer:
d or 4Step-by-step explanation:
Answer:
Multiply,Subtract,Add,Subtract
Step-by-step explanation: Easy, just think
write 36/48 in simplest form
Answer:
3/4
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyy
Answer:
3/4 (find the GCF, greatest common factor, and divide both sides [12])
Step-by-step explanation:
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