Answer:
Approximately 2.12
Step-by-step explanation:
Start by taking the sine of angle 45. Sin(45)=x/3. Then multiply both sides by 3. 3*Sin(45)=x and plug into the calculator.
Find x so that QS||PT. PQ=8,QR=5,RS=15,ST=x+3
Answer:
15/8= 3+15/8+(x-3)
Step-by-step explanation:
NEED ANSWERS ASAP!!!!! NUMBER 4!!
Answer:
The angle of the last point would also be 35 because both sides are congruent. I don't know what else you are asking.
Answer:
Your answer is 35
Step-by-step explanation:
This is an isosceles triangle and that means 2/3 of the sides are the same length.
BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.
Answer:
Large pie = 13
small pie = 7
Step-by-step explanation:
hope this helps!
Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: cost of each small piey: cost of each large pieCassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203
Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220
So, the system of equations to solve is:
[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable y from the first equation, you obtain:
14y= 203 - 3x
y= (203 - 3x) ÷14
y= 14.5 - [tex]\frac{3}{14}[/tex]x
Replacing this expression in the second equation and solving, you obtain:
11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220
11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220
11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220
11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5
[tex]\frac{121}{14}[/tex]x= 60.5
x= 60.5÷ [tex]\frac{121}{14}[/tex]
x= 7
Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:
y= 14.5 - [tex]\frac{3}{14}[/tex]x
y= 14.5 - [tex]\frac{3}{14}[/tex]×7
y= 14.5 - [tex]\frac{3}{2}[/tex]
y= 13
Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.
Learn more about system of equations:
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Simplify the expression.
-5(-7d + 2)
Answer:
35d-10
Step-by-step explanation:
distribute the -5
Answer:
-7d+2B4
Step-by-step explanation:
If its wrong im sorry I tried.
Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain.
Answer:
I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.
Step-by-step explanation:
reciprocals in mix fraction form
Answer: improper fractions
Step-by-step explanation:
Complete the sentences. There are approximately 3,000 bass in a lake. The population grows at a rate of Complete the sentences.
There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year.
Round answers to the nearest tenth.
From Year 1 to Year 4, the average rate of change of the population was about _____
bass per year.
From Year 5 to Year 8, the average rate of change of the population was about_______
bass per year.
Answer:
From Year 1 to Year 4, the average rate of change of the population was about 61.8 bass per year.
Step-by-step explanation:
First you find 2% of 3000 which is 60
Next you find 2% of 3060 =61.2
next 2% of 3120 =62.4
last 2% of 3180 is 63.6
then you find the average of all the number combined is 61.8
Do the same with the other problem
Please help and make it right..
Answer:1/48
Step-by-step explanation: multiply the fraction by 1/2
A factory employs 98 workers. Of these, 10 receive a wage of $150
per day and the rest receive $85.50 per day. To the management,
a week is equal to 6 working days. How much does the factory
pay out each week?
Please help!!
Answer:
$54,144
Step-by-step explanation:
To answer this question, we must break up the problem into separate parts. First, we know 10 out of 98 empolyees earn $150 per day, and they work 6 days a week. Therefore, we can multiply 150 by the amount they work each week, which is 6:
150 * 6 = 900
Now, we multiply that number by the amount of workers earning this money, which is 10:
900 * 10 = 9,000
Now, we know that 10 employees out of the 98 total earn $9,000 altogether, but we aren't finished.
Next, we look at the remaining 88 workers. They earn $85.50 per day, working 6 days a week as well. We must multiply these numbers:
85.50 * 6 = 513
Now, we multiply that number by the amount of workers earning this money, which is 88:
513 * 88 = 45,144
So, we know that the 88 employees earn $45,144 total during a work week, and the other 10 earn $9,000 total. We must now combine these numbers to get our final answer:
45,144 + 9,000 = 54,144
So, the factory pays out $54,144 each week
Hope this helps :)
NEED HELP FAST PLEASE !!
What is the value of x
Answer:
4.5
Step-by-step explanation:
use altitude rule
8 / 6 = 6 / x
8x = 36
x = 36/8 or 9/2 or 4.5
What is the area of the triangular base?
Answer:
90cm2
Step-by-step explanation:
1/2x base x height.
1/2 x10 x 18
90cm2
Solve the system of linear equations.
{x = 3
{y = 3
A. (3,3)
B. (-3,3)
C. (3,-3)
D. (-3,-3)
2y = -x-18
x-intercept:
y-intercept:
Answer:
Step-by-step explanation:
The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 3 inches can hold 108 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 2 inches?
Answer:76
Step-by-step explanation:
Answer:
76 in³Step-by-step explanation:
Volume of gas varies directly as the cube of its radius.
V = kr³Find k:
108 = k(3³)k = 108/27k = 4Volume of the smaller balloon:
V = 4r³V = 4(2³) = 32 in³The difference in volumes is the volume of released gas:
108 - 32 = 76 in³Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was $290, than how much did she invest at each rate?
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
Write in radical form:
(7x)^2/5
Answer:
[tex]\sqrt[5]{(7x)^2}[/tex]
Step-by-step explanation:
An appliance store decreases the price of a 19-in. television set 16% to a sale price of $509.88. What was the original price?
Answer:
the original price 3186.75
Anika deposits $1,300 into an account that pays 1.7% interest, compounded monthly. Complete the following table. (Format the answers like the example provided. Round to the nearest cent.)
Year Amount
1 $1322.27
2
3
6
7
8
What is the average rate of return from the end of the first year to the end of the third year?
What is the average rate of return from the end of the sixth year to the end of the eighth year?
Answer:
i think it's about 20.4% per year
Please help me pls!!
Answer:
Step-by-step explanation:
Calculating the Perimeter of a Compound Shape made from Rectangles. A compound shape (or composite shape) is a more complex shape that is made up of two or more simple shapes. To find the perimeter, we simply add up the lengths of each outside edge.
HOPE IT HELPS
Please help due today
Answer:
The answer is C, A, B
Step-by-step explanation:
PLS HELPPPP with my IXL
Answer:
x = 17
Step-by-step explanation:
aren't NP and QP equal to each other? lmk if I'm wrong and what the right answer would be pls
Answer:
x = 17
Step-by-step explanation:
we know tangents from an external point are equal hence,
x-7 = 10x = 10 + 7x = 17x = 17
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
making a payment of the same amount each month. Which of these monthly
amounts will allow Arthur to pay off his balance the fastest?
A. $70
B. $65
C. $80
D. $75
SUBMIT
Answer: B. $80
Step-by-step explanation:
B. The time in Paris is 6 hours ahead of New York. Use P for Paris time and N for New York time to express P as a function of N. (Represent your answer in terms of a 12-hour clock.) How would you adjust your formula if P comes out greater than 12?
Answer:
P(N) = 6 + N ; if P(N) > 12 ; P(N) = 6 + N - 12
Step-by-step explanation:
Paris is 6 hours ahead of New York ;
P - Paris time
N - New York time
To represent P as a function of N
P(N) = 6 + N
If P comes out greater than 12 ; because we want a 12-hour clock :
If P(N) is > 12
P(N) becomes ;
P(N) = 6 + N - 12
find that area please
find the zero of the following function: f(x)=2/3(x)+6
I’f the vertical length is 10 what is the horizontal length
Answer:
Missing context,
Do you have a ratio I could work with?
For what values of x is the expression below defined?
2x2 + 5x
Answer:
9
Step-by-step explanation:
Point X (-1, 6) is rotated 90 degrees about the origin using the transformation rule (x, y) --> (-y, x). What is the ordered pair of the Image X'? Please write your response as (x, y),
Answer:
The coordinates of the ordered pair of the Image X' are: X'(-6, -1)
Step-by-step explanation:
When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(-y, x)
In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(-y, x)
X (-1, 6) → X'(-6, -1)
Therefore, coordinates of the ordered pair of the Image X' are: X'(-6, -1)
ayudaaa es para hoy ;-;
múltiplos de 3: 6-9-12-15-18-21-24. etc
múltiplos de 3 que también son de 6:12-18-24.etc
múltiplos de 6: 12-18-24-30-36-42-48-54-. etc
múltiplos de 10:20-30-40-50-60-70-80.etc
múltiplos de 5:10-15-20-25-30-35-40-45-50-55.etc
múltiplos de 5 que tambien son de 10:20-30-40-50. etc