Answers
Answer:
n = 10
Step-by-step explanation:
The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.
Related Questions
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Answers
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
is 7.66 a rational number
Answers
Answer:
yes
Step-by-step explanation:
A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?
Answers
Answer:
80 kilometers
A type of superglue has a density of 0.86 g/mL. What is the mass of a 150 mL sample of this glue?
Answers
Answer: 129g
Step-by-step explanation:
The formula to calculate mass is given as:
m = d × v
where,
m = mass
d = density
v = volume
Mass = dv
Mass = 150 × 0.86
Mass = 129g
Answer:
Step-by-step explanation:
The radius of the red circle is 7 units and the distance between the two circles is 3 units.
What is the diameter of the red circle?
A 8 units
B 12 units
C 14 units
D 20 units
Answers
Answer:
14
Step-by-step explanation:
The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14. Most of the information presented is unrelated.
Bruce takes out a personal loan of $1,000 to go on a trip to Florida. His loan has an annual compound interest rate of 10%. The loan compounds once each year. When you calculate Bruce's debt, be sure to use the formula for annual compound interest. A = P (1+StartFraction r Over n EndFraction)nt Bruce borrowed $1,000 for his trip. If Bruce waits for five years to begin paying back his loan, how much will he owe? $1,251.10 $1,310.21 $1,610.51 $1,810.71
Answers
Answer: He will owe $1610.51 .
Step-by-step explanation:
Given: Loan amount (P)= $1,000
Rate of interest (r) = 10% = 0.10
Number of years (t)= 5 years
n= 1 (will pay once in a year)
Formula: [tex]A= P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]A=1000(1+0.10)^5[/tex]
[tex]=1000(1.10)^5\\\\=1000(1.61051)\\\\ =1610.51[/tex]
Hence, He will owe $1610.51 .
Answer:
1610.51 $
Step-by-step explanation:
Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.
Write the equation for finding the total cost of
a one-year swim pass.
Answers
Answer:
you pay 240 dollars a year
Step-by-step explanation:
y=20x
x is 12
20*12=
240
Answer: $250
Step-by-step explanation:
A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?
Answers
Answer:
rounded to the nearest hundredth its 46.21
Step-by-step explanation:
trust im smart
Which is equivalent to
Answers
Answer:
-12
Step-by-step explanation:
-36 divided by 3 = -12
Which numbers below are solutions to the inequality 4y+3≤−7?
Answers
Answer:
answer is in picture
Step-by-step explanation:
help me with this please
Answers
Answer:
26
Step-by-step explanation:
square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26
Answer:
26
Step-by-step explanation:
2(square root of 81)+square root of 64
2(9)+8=
18+8=
26
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
Answers
EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:
111,111,102/9 = 12,345,678
so: 9 * 12,345,678 = 111,111,102
which also means
111,111,102/12,345,678 = 9 (with 0 as a remainder)
$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.
Which of the following expressions represents the amount of interest earned on the money invested at 6%?
a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)
Answers
Answer:
B
Step-by-step explanation:
A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36
Answers
Answer:
The answer is $6.00.
Step-by-step explanation:
They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.
The initial fee to enter the garage is option (C) $6.00.
What is the linear equation?The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equations is, T = 6 + 2.50 h
where, h is the parking hours and
T is the total charges in dollars.
The initial fee to enter the garage means there will be no fee for parking,
⇒ [tex]h=0[/tex]
Then the equation becomes,
⇒ [tex]T=6[/tex]
Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.
Learn more about linear equation here
https://brainly.com/question/19549073
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HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answers
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
Ok im tired of asking this
Ok i need both questions
Answers
Answer:
Answer 1:
5/8 = 2.5/4 so its 2.5 months
Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.
Step-by-step explanation:
1/4=2/8, so continue that on until you get the answer.
5/8÷1/4
5.8·4/1=
20/8=2.5
9/16=
9÷16=
0.5625
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 8 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
Answers
Answer:
a. The equation is y = 19 x
b. The height of 13 DVD cases is 247 mm
Step-by-step explanation:
- A proportional relationship is about two quantities vary directly with
each other
- Ex: If y proportion to x, then y is varies directly with x
That means y ∝ x ⇒ y = k x, where k is the constant of variation
- The height of a stack of DVD case is proportional to the number of
case in the stack
- That means the height of DVD cases varies with the number of cases
- The height of 6 DVD case is 114 mm
a.
∵ The number of cases = x
∵ The height of the cases = y
∴ y ∝ x
∴ y = k x
- To find k lets use the first information above
∵ y = 114 mm when x = 6
- Substitute these values in the equation above to find k
∵ 114 = 6 k
- Divide both sides by 6
∴ k = 19
- Substitute the value of k in the equation above
∴ y = 19 x
* The equation is y = 19 x
b.
- We need to find the height of 13 DVD cases
∵ y = 19 x
∵ x = 13
- Substitute the value of x in the equation
∴ y = 19 × 13
∴ y = 247 mm
* The height of 13 DVD cases is 247 mm
The height will be 143 mm for a stack of 13 DVD cases.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
The overall height of the 8 cases stacked on top of each other is 88 mm.
Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):
⇒ 88/ 8 = 13
⇒ 88 ÷ 8 = 13
Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:
11 × 13= 143
Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.
To learn more about the constant of proportionality here:
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The question seems to be incomplete the correct question would be:
The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.
The height of the 8 cases stacked on top of each other is 88 mm.
Please help me i will mark you brainliest
Answers
y = -11x2 – -52 or y = -5.5x – 52
Find the midpoint of the line segment with the given endpoints. 8) (4, -6), (-4,8) A) (0, 1) C) (4, -7) B) (-12, 22 D) (-1,2)
Answers
Answer:
(0, 1)
Step-by-step explanation:
The formula is pretty straightforward you just need to plug in the numbers you have
how many times 92 go in too 100
Answers
Answer:
5
Step-by-step explanation:
Answer:
1 time
Step-by-step explanation:
Six students are working to simplify the expression shown 4y+13x-5+6y-x
Answers
Answer:12x+10y-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
helpp ill mark u as brainlist
Answers
Answer:
Assuming you want slope formula for this, it's y= (5/9)x -1
what is 2 to the power of 8 minus 10 minus 15 divided by 3
Answers
Answer:
241
Step-by-step explanation:
241
Answer:
241
Step-by-step explanation:
2^8 - 10 -15 / 3
256 - 10 - 15 / 3
256 - 10 - 5
246 - 5
241
Hope this helps!
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .
Answers
Answer:
Step-by-step explanation:
Givens
P = 2*L + 2*W
P = 70
w = 16
Solution
70 = 2L + 2*16
70 = 2L + 32
70-32 = 2L
38 = 2L
38/2 = 2L/2
L = 19
Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices
an = 9n + 6
an = 6n + 15
an = 6n - 15
an = 9n – 6
Answers
======================================================
Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
--------------
As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
Help please I’lol really appreciate it
Answers
Answer:
j+z+12
Step-by-step explanation:
What is an equation that is equivalent to -3/4x+1/8=-3/8?
Also the / is not a division symbol. The numbers with a / are fractions.
Answers
Hope this helps! Follow my Instagram trlamb822!
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds
Answers
Answer:
.44 repeating would be your decimal of dogs that weigh under 20 pounds.
Step-by-step explanation:
Answer:
.44
Step-by-step explanation:
your brother is 1/2 your age.your sister is 5 years older than your brother . your sister is 15 years old write and solve an equation to find your age x
pls help me I will mark brainleyest
Answers
A construction company orders tile flooring for the kitchen and three bathrooms of a new home. The kitchen floor measures 48 square feet. Two bathrooms have floors that each measure square feet. The third bathroom floor measures square feet. If the tile costs $2.39 per square foot, what's the least amount of money, to the nearest cent, the company spends on tile for all three bathrooms
Answers
Step-by-step explanation:
The question is incomplete. Let us assume the two bathrooms have floors that each measure 24 square feet and third bathroom floor measures 18 square feet.
For the two bathrooms, the total area will be 2*24 = 48 square feet
Since the third bathroom measures 18 square feet, the total square feet for the 3 bathrooms is equal to 48sq. ft + 18 sq.ft = 64sq. ft
If the tile costs $2.39 per square foot, then the amount that 64sq. ft tiles will cost is expressed as:
1 sq. ft = $2..39
64sq.f = $x
Cross multiply:
1*x = 2.39* 64
x = $152.96
Hence the amount that the company's spent on tiles for the three bathrooms will be 15296 cents.
Note that the dimensions of bathrooms were assumed. You can follow the same procedure for any dimension given.