Answer:
[tex]Length = 98[/tex]
Step-by-step explanation:
Given
[tex]AO = 5x - 1[/tex]
[tex]BO = 4x + 9[/tex]
Required:
The length of the diagonal
Since AO and BO are diagonals that meets at O, we have:
[tex]AO=BO[/tex]
This gives
[tex]5x - 1 = 4x + 9[/tex]
Collect Like Terms
[tex]5x - 4x = 1 + 9[/tex]
[tex]x = 10[/tex]
Subsitute 10 for x in [tex]AO = 5x - 1[/tex]
[tex]AO = 5 * 10 - 1[/tex]
[tex]AO = 50 - 1[/tex]
[tex]AO = 49[/tex]
The length of the diameter is:
[tex]Length = AO * 2[/tex]
[tex]Length = 49 * 2[/tex]
[tex]Length = 98[/tex]
How many tens are in the number 639
Answer:
63 tens are in 639 are in that number
Answer:
There are 63 full tens in 639.
Step-by-step explanation:
639÷10=63.9
Hope this helps! :)
1) A snake has a density of 12 g per cm and a
mass of 3000 g. What is its volume in cm'?
Answer:
250
volume=density/mass
The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
Answer:
You were running downhill for the first 15 minutes.
Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2
Answer:
Step-by-step explanation:
32 ÷ 4 + ([tex]\frac{1}{2}*16) - 2[/tex] = 8 + (1*8) - 2
= 8 + 8 - 2
= 16 - 2
= 14
Answer:
The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2
Step-by-step explanation:
5 times a number is 14 less than the square of that number. Find the negative solution.
Answer:
x=-2
Step-by-step explanation:
5x=x^2 - 14
x^2-5x-14=0
(x-7)(x+2)=0
x=7,-2
At Wendy's, 3 Baconators and 2 Frosty's cost $21.50. If 5 Baconator's and 1 Frosty cost $30, find the cost of one Baconator and one Frosty.
Answer:
1.00 would be the cost
Step-by-step explanation:
Three times the sum of a number and 18 and is at least -30
Answer:
im sry i need hte points
Step-by-step explanation:
how to find the interest for a 2% interest rate loan of $3000 for 1 year, BUT instead of the 2% in the example, switch it to 3% interest on a $3500 loan.
Answer: See Explanation
Step-by-step explanation:
Simple interest is calculated as:
= principal × rate × time.
The interest for a 2% interest rate loan of $3000 for 1 year will be:
= principal × rate × time.
= $3000 × 2% × 1
= $3000 × 2/100 × 1
= $3000 × 0.02 × 1
= $60
The interest for a 3% interest rate loan of $3500 for 1 year will be:
= principal × rate × time.
= $3500 × 3% × 1
= $3500 × 3/100 × 1
= $3500 × 0.03 × 1
= $105
Factor 3x^2 - 2x - 1
Answer:
(3x+1) (x-1)
Step-by-step explanation:
.................
The factored form of 3x² - 2x - 1 is (3x + 1)(x - 1).
To factor the quadratic expression 3x² - 2x - 1, we can look for two binomials that multiply together to give the original expression.
We need to find two binomials in the form (ax + b)(cx + d) that, when multiplied, result in 3x² - 2x - 1.
To factor this expression, we need to find two numbers that multiply to give 3 (the coefficient of x² term) and add up to -2 (the coefficient of the x term).
By trial and error or using factoring techniques, we find that the factors are (3x + 1) and (x - 1).
Therefore, the factored form of 3x² - 2x - 1 is:
(3x + 1)(x - 1).
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Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the angle measure of the cake that was left?
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?
Answer:
A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.
Step-by-step explanation:
There are 18 servings of cereal in the box.
To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.
Given:
Serving size: 2/3 cup
Total cups in the box: 12 cups
To find the number of servings, we divide the total cups by the serving size:
12 cups ÷ (2/3 cup)
= 12 cups × (3/2)
= 36/2
= 18 servings
Therefore, there are 18 servings of cereal in the box.
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URGENT!!!!
There are two missing numbers. Twice the first plus the second is equal to 15. Also, three
times the first minus the second equals 20. What are the two numbers?
Answer:
Write a system of equations
Step-by-step explanation:
2x + y = 15
3x - y = 20
5x = 35
x = 7
2(7) + y =15
y = 1
The two missing numbers are x = 7 and y = 1.Let's denote the first missing number as "x" and the second missing number as "y".
From the given information, we can form the following equations:
Equation 1: 2x + y = 15
Equation 2: 3x - y = 20
We can solve this system of equations by elimination or substitution method.
Let's use the elimination method:
Multiply Equation 1 by 3 and Equation 2 by 2 to eliminate the "y" term:
Equation 1: 6x + 3y = 45
Equation 2: 6x - 2y = 40
Subtract Equation 2 from Equation 1:
(6x + 3y) - (6x - 2y) = 45 - 40
Combine like terms:
6x + 3y - 6x + 2y = 5
Simplify:
5y = 5
Divide both sides by 5:
y = 1
Substitute the value of "y" into Equation 1:
2x + 1 = 15
Subtract 1 from both sides:
2x = 14
Divide both sides by 2:
x = 7
Therefore, the two missing numbers are x = 7 and y = 1.
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Five less than 3 times a number b is greater than the opposite of 8.

Answer:
6 9 4 .....digsigsigishs
I need help please?!!!!
Answer:
A
Step-by-step explanation:
the relationship between x and y is constant; 5/3
Answer:
the answer is A because x and y are constants
A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?
Answer:
Step-by-step explanation:
70(10/100)=7 broken cookies.
7/70=1/10 is the fraction broken
(70-7)/70=63/70 is the fraction remaining whole
Answer:
(a) 1/7 are broken
(b) 6/7 remain whole
Step-by-step explanation:
70 is a nice number to deal with in terms of percentages and fractions. If 10% of the cookies are broken, do 10/70. That fraction simplified gets you 1/7. To find the remaining whole cookies. Do 7/7 - 1/7 = 6/7 (or if you already know that in your head that works too)
Divide.
68, 302 divided by 1,000
Enter the exact quotient.
Answer:
68.30200
Step-by-step explanation:
The exact quotient of 68,302 ÷ 1000 is 68.302.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
68,302 ÷ 1000
= 68,302 / 1000
= 68.302
Thus,
The quotient is 68.302.
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What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
Find the x and y intercepts for the following equation. 4x - 2y = 16
Answer:
( 4, 0 ) and ( 0,-8 )
Step-by-step explanation:
→ Rearrange into y = mx + c format
4x - 2y = 16
→ Minus 4x from both sides
-2y = -4x + 16
→ Divide everything by 2
-y = -2x + 8
→ Multiply everything by -1
y = 2x - 8
→ Substitute x = 0 to find the y-intercept and y = 0 to find the x intercept
x = 0 then y = -8 so ( 0,-8 )
y = 0 then x = 4 so ( 4, 0 )
If a triangle has sides of 9 and 14, then the remaining side must be between and , with the smaller number listed first.
Answer:
I think the answer could be 11.5
Step-by-step explanation:
It's in the middle of both numbers
a=9
b=11.5
c=14
I am a fraction with a denominator of 7 and a whole numerator. I am greater than 2/5 and less than 1/2. What fraction am I?
Answer:
3/7
Hope that helps!
Step-by-step explanation:
9514 1404 393
Answer:
3/7
Step-by-step explanation:
As a fraction with a denominator of 7, the value 2/5 would have a numerator of ...
(2/5)(7) = 2.8
Similarly, the fraction 1/2 would have a numerator of ...
(1/2)(7) = 3.5
The only whole number between 2.8 and 3.5 is 3.
The fraction of interest is 3/7.
In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Answer:
28.8 degrees (rounded)
Step-by-step explanation:
you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.
so...
tan^-1[tex]^[/tex](50/91) = 28.78661831
Answer:
Its 29
Step-by-step explanation:
I did the detla math
a bottle of apple juice has 12 servings if 13 friends split the juice equally how many servings does each person get
Answer:
Each friend will get 0.92 of a serving
Step-by-step explanation: 12 servings divided by 13 peple equals 0.923
Which is the correct form of the partial fraction decomposition for StartFraction x + 9 Over x squared minus 4 EndFraction?
Answer:
for the first question B
For the second question B C and D
Step-by-step explanation:
Fart
1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?
Answer:
the answer will be
50.3144 %
Julie is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying her science background to crime investigation. Late one night, she thinks about some jobs she has applied for. Let A, B, and C be the events that Julie is offered a job by:
A = the Connecticut Office of the Chief Medical Examiner
B = the New Jersey Division of Criminal Justice
C = the federal Disaster Mortuary Operations Response Team
Julie writes down her personal probabilities for being offered these jobs:
P(A) = 0.6
P(B) = 0.5
P(C) = 0.3
P(A and B) = 0.2
P(A and C) = 0.1
P(B and C) = 0.1
P(A and B and C) = 0
1. Make a Venn diagram of the events A, B, and C. Mark the probabilities of every intersection involving these events and their complements. Use this diagram to answer the following.
2. If Julie is offered the federal job, what is the conditional probability that she is also offered the New Jersey job? (Round your answer to two decimal places.)
3. If Julie is offered the New Jersey job, what is the conditional probability that she is also offered the federal job? (Round your answer to two decimal places.)
Answer:
A and B
Step-by-step explanation:
Quadrilateral DEFG has vertices at D(3,4) E(8,6) F(9,9) G(4,7). Prove that DGEF is a parallelogram
туре or Movie
Number or
Students
36
Horror
Drama
26
Comedy
30
Sci-Fi
28
Based on the data in the table, what is the probability that a random
Answer: 3/4, because the probability of renting a comedy is 1/4
================================================================
Explanation:
We have 36+26+30+28 = 120 students. 30 of which rented a comedy.
The probability of renting a comedy is 30/120 = (30*1)/(30*4) = 1/4
The probability of not renting a comedy is 1 - (1/4) = 4/4 - 1/4 = (4-1)/4 = 3/4.
Or you could say that 1/4 = 0.25, so 1-0.25 = 0.75 which converts to the fraction 3/4.
If you had 4 people and 1 of them rents a comedy, then the other 3 hasn't rented a comedy.
help plz plzplz plz dssfdasfadsfadsfadfadfdsfadsf ;(
Answer:I believe its b
Step-by-step explanation:
Which expression below is equivalent to the expression -3/4(-12x-20Y)
A. 9x+15y
B. 9x-15y
C. 9x-20y
D. 9x-20y
Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge