Answer:
The answer is -7, because -15-9=-7
You are buying decorations for a birthday party. Six rolls of crepe paper and 20 balloons cost $11.90. After you start decorating, you need more supplies. You buy 2 more rolls of crepe paper and 15 more balloons for $6.05.
Answer: $1.15
Step-by-step explanation:
The question is How much did each roll of crepe paper cost?
Let the cost of crepe paper be x
Let the cost of balloons be y.
Six rolls of crepe paper and 20 balloons cost $11.90. This will be:
6x + 20y = 11.90 ......... i
2 more rolls of crepe paper and 15 more balloons for $6.05. This will be:
2x + 15y = 6.05 ......... ii
6x + 20y = 11.90 ......... i
2x + 15y = 6.05 ......... ii
Multiply equation i by 15
Multiply equation ii by 20
90x + 300y = 178.50 ........ iii
40x + 300y = 121 ........ iv
Subtract iv from iii
50x = 57.50
x = 57.50/50
x = 1.15
Therefore, a crepe paper cost $1.15
12. Solve for x. (6x-21) P Q T S R
Answer:
x=4
Step-by-step explanation:
since its a square, the diagonals cut the right angle in half, so 45
6x - 21 = 45
6x = 24
x=4
Solve for t -7/4 =2/5t
Answer:
t = 35/12
Step-by-step explanation:
t - 7/4 = 2/5 t
t = 2/5 t + 7/4
t - 2/5 t = 7/4
t*(1-2/5) = 7/4
t*3/5 = 7/4
t = (7/4)/(3/5)
t = 7*5/4*3
t = 35/12
Can someone help me shot this problem
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
What is the midpoint of AB when A (-2, 5) and B (4, -5)?
Answer:
Answer attached
Step-by-step explanation:
Midpoint of AB = (1,0)
Let's check
midpoint of AB
(-2+4/2,5-5/2)(2/2,0/2)(1,0)A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?
Round to the nearest tenth if needed.
Answer:
23
Step-by-step explanation:
What is the equation of a line, in slope intercept form, that has a y-intercept of -1 and a slope
Answer:
y = 5x - 1
Step-by-step explanation:
Given the following data;
Intercept = -1
Slope = 5
To find the equation of line;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
y = mx + 1
y = 5x - 1
PLS HELP i have to finish this tonight
Answer:
D.480 Ft/S
Step-by-step explanation:
um, Just ask your teacher if you don't understand:P
A company’s mean salary is $65,000 with a standard deviation of $6,000. What is the probability that an employee makes between $70,000 and $80,000?
An employee has a probability of 0.19706 to make between $70,000 and $80,000
What is Probability?Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes
Let X be the annual salary of employees in a large company.
Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]
[tex]P(0.833 < z < 2.5)[/tex]
= 0.99379 - 0.79673 (from normal distribution table)
= 0.19706
Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706
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find g(f(x)) for g(x)=8x+5 and f(x)=4x-4
Answer:
32x - 28 is the answer
Step-by-step explanation:
g(f(x)) = 8(4x - 4) + 4
32x - 32 + 4
The final answer then becomes
32x - 28
I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
In school, Philip learned that the average person produces 50 pounds of recyclables every month. But, they usually throw away twice that much garbage. He wonders what that means for his family. Philip lives with his mother, father, and 2 sisters. About how many tons of garbage does Philip's family throw away every year?
Answer:
6000 tons
Step-by-step explanation:
dirt thrown by one person = 50 x 2 = 100
there are 5 people in the home
dirt thrown by the family in a month = 100 x 5 = 500
In a year = 500 x 12 = 6000
Use this diagram to find the required measures. 1 = 30°, 2 = 30°, 3 =
Answer:
120 bud
Step-by-step explanation:
Factor the expression. 10y+15+25y
Answer:
25y+15
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5(7y+3)
Step-by-step explanation:
stephen takes a walk around the block. the rectangular block is 125 m long and 75 m wide. How far does Stephen walk?
Answer:
400m
Step-by-step explanation:
It s be the perimeter.
Length X2 sides + width x 2 sides
125 X2 sides + 75. X2 sides
250 + 150
400m
There were 80 runners to start a race. In the first half of the race, 1/5 of them dropped out. In the second half of the race, 5/8 of the remaining runners dropped out. How many runners finished the race
Answer:
24
Step-by-step explanation:
Initially, there were 80 runners in the race. After the first half, 1/5 of them dropped out (given). Therefore, 4/5*80=64 runners remain. In the second half, 5/8 of these 64 runners drop out, meaning 3/8*64=24 runners finished the race.
Find the missing angle measures. This is 8th grade math btw
Answer:
w is 146
x is 90
y is 34
z is 56
Answer:
w = 146 degrees
x = 90 degrees
y = 34 degrees
z = 56 degrees
Step-by-step explanation:
Right angles will always add up to 90 degrees.
Straight lines will always add up to 180 degrees.
Since x is a right angle, x = 90 degrees.
Since z + 34 = 90 degrees (a right angle):
90 - 34 = z
90 - 34 = 56 degrees
Since x + y + z = 180 degrees (a straight line), simply plug in the numbers we have found already:
90 + y + 56 = 180
y = 180 - 90 - 56
y = 34
Since w + 34 = 180 degrees (a straight line):
180 - 34 = w
180 - 34 = 146 degrees
Which scenario would result in 12 possible outcomes?
You roll a number cube twice.
You flip a coin twice.
You roll a number cube, and then you flip a coin.
You roll a number cube once.
NO LINKS OR FILES ,, JUST THE CORREDT ANCWER AND I WILL GIVE BRAINLIEST
Answer:
C.
Step-by-step explanation:
rolling a cube would have six possible but then flipping a coin would mean it would be 12.
Hannah just put a 36-foot long
fence around her rectangular
garden. What is the length of the
garden if it is 12 feet wide?
Answer:
perimeter=sum of all sides
p=2(L+W)
36=2(L+12)
36-24=2L
12=2L
L=6
A rectangle is a 2-D shape with 4 angles. The length of the garden if it is 12 feet wide is 3 feet
How to calculate the perimeter of a rectangle?A rectangle is a 2-D shape with 4 angles. The formula for calculating the perimeter of a rectangle is expressed as:
P = 2(length + width)
Given
Perimeter = 30 feet
width = 12 ft
Substitute
30 = 2(l + 12)
15 = l + 12
l = 3 feet
Hence the length of thegarden if it is 12 feet wide is 3 feet
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IF YOU ANSWER RIGHT ILL GIVE YOU BRAINLTIST
Answer:
B: 12/25
Step-by-step explanation:
You have the correct answer marked. This is correct because the probability of grabbing a purple marble is 24/50 which if we divide by 2 to simplify is 12/25.
Points A, B, C, and D are connected to form square ABCD. If square EFGH is similar to square ABCD, what are the coordinates of G?
A) (4, 4)
B) (4, 5)
C) (5, 4)
D) (5, 5)
Answer:D
Step-by-step explanation:(5,5)
Answer:
(5,5)
Step-by-step explanation:
Just took the test
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model in inches?
Answer:
architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model
The value of the height of the scale model in inches is,
⇒ 10.5 inches
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet.
And, The height of the house is 21 feet.
Now, We get;
The value of the height of the scale model in inches is,
⇒ 1.5 / 3 x 21
⇒ 1.5 x 7
⇒ 10.5 inches
Thus, The value of the height of the scale model in inches is,
⇒ 10.5 inches
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Cos^2theta -cos^2theta ×sin^2theta =cos^4theta
Answer:
we should prove this or solve only
Step-by-step explanation:
hope it is helpful to you
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
3.
I NEED HELP
Write the slope-intercept form of the equation for the line.
A. y=[tex]-\frac{8}{7} x-\frac{3}{2}[/tex]
B. y=[tex]-\frac{3}{2}x+ \frac{7}{8}[/tex]
C. y=[tex]-\frac{7}{8}x- \frac{3}{2}[/tex]
D. y=[tex]\frac{7}{8}x- \frac{3}{2}[/tex]
Answer:
Step-by-step explanation:
Algebra Examples
Popular Problems Algebra Graph y=7x-8
y
=
7
x
−
8
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
7
y-intercept:
(
0
,
−
8
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
x
y
0
−
8
8
7
0
y=7x-8
ls 2.1 bigger or 2.9?
Answer:
2.9
Step-by-step explanation:
The answer is 2.9
Step by step:
K/-8 = -6
Can I have help on this.
Answer:
=48
Step-by-step explanation:
Answer:
k/-8=-6
k=-6*-8
k=48
Step-by-step explanation:
Find two numbers between 100 and 150 with HCF 24
Answer:
120 and 144
120÷24=5
144÷24=6
Clay surveys members of his class to find out how many televisions they have in their homes. The thirteen responses he received are shown in the table. Which statement is true?
A) The mean is less than the mode.
B) The mean is less than the range.
C) The mean is greater than the range.
D) The median is greater than the mode.
Answer:
B, the mean is less than the range
Step-by-step explanation:
mean is 3.38 (rounded)
mode is 3
median is 3
range is 5
The mean is 3.38 and the range is 5, So the mean is less than the range. Option B is the correct one.
What are mean?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Mean = [tex]\frac{1+5+2+3+4+6+3+1+3+4+3+5+4}{13}[/tex]
The mean is 3.38 (rounded)
Median represents the middle value of the given data when arranged in a particular order.
So, the Median would be 3.
Mode is that number that appears most frequently in the given set of data.
So, the Mode would be 3.
The range of a given set of data is the difference between the largest value and the smallest value.
So, the range would be 5
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45 yd
24 yd
What is the length of the hypotenuse?
Answer:
51
Step-by-step explanation:
A^2+b^2=c^2
That's the formula