Estimate by rounding to the nearest ten. Then, find the sum
376+266
The estimated sum is
Answer:
640
Step-by-step explanation:
You add 376 and 266 together then you get 642
In this case the nearest ten is 2
If we round the 2 (which would go down) it would be 640
How do you Multiply Radicals?????
Answer:
1. [tex]4\sqrt{5}[/tex]
2. [tex]10\sqrt{10}[/tex]
Step-by-step explanation:
When you multiply radicals, you do the following
[tex]a\sqrt{b}\cdot c\sqrt{d}\\\\=ac\sqrt{bd}[/tex]
with that in mind
1.
[tex]\sqrt{16}\cdot \sqrt{5}[/tex]
here we don't need to multiply 16 times 5, because 16 = 4^2 and take the square root of it, gives you 4
[tex]=4\sqrt{5}[/tex]
2.
[tex]\sqrt{20}\cdot 5\sqrt{2}\\\\\longrightarrow 20 = 2^2\cdot 5\\\\=2\sqrt{5}\cdot5\sqrt{2}\\\\=(2\cdot5)\sqrt{5\cdot2}\\\\=10\sqrt{10}[/tex]
what is the y intercept of the line given by the equation below
y=-10x+14
Answer:
(0, 14) is the y-intercept
Answer:
14 is the y-intercept
Step-by-step explanation:
10 would be the slope so that leaves 14 which is the y intercept
What is the equivalent division statement to 63 x 1/9
Answer:
7
Step-by-step explanation:
63x1/9
Hope that helps
Have a good day
The model represents an equation. What value of x makes the equation true?
Answer:
x=2,25=2 1/4
Step-by-step explanation:
-3x+10=5x-8
10+8=8x
x=2,25=2 1/4
Find the greatest common factor (GCF) for each pair of numbers.
9 and 33
Answer:
3
Step-by-step explanation:
Write the factors for each term
9 = 1,3,9
33 = 1,3,11,33
The greatest common factor is 3
What is the volume of the tent?
A waterpark sold 72 child tickets and 24 adult tickets. What percentage of the tickets sold one child tickets
Answer:
1.042% of the total tickets sold 1 child ticket.
Step-by-step explanation:
As given,
A Water park sold 72 child tickets and 24 adult tickets.
So,
The total number of ticket sold by a Water park = Total child ticket sold + Total adult ticket sold
⇒The total number of ticket sold by a Water park = 72 + 24 = 96
Now,
The total child ticket sold = [tex]\frac{72}{96}[/tex]×100% = 0.75×100% = 75%
Now, we get
72 child ticket sold % = 75
⇒ 1 child ticket sold % = [tex]\frac{75}{72}[/tex] = 1.042%
So, we get
1.042% of the total tickets sold 1 child ticket.
How many solutions exist for the given equation 12x + 1 = 3(4x + 1) -2
Answer:
All real numbers are solutions (hope that helps)
Step-by-step explanation:
12x+1=3(4x+1)−2
Step 1: Simplify both sides of the equation.
12x+1=3(4x+1)−2
12x+1=(3)(4x)+(3)(1)+−2(Distribute)
12x+1=12x+3+−2
12x+1=(12x)+(3+−2)(Combine Like Terms)
12x+1=12x+1
12x+1=12x+1
Step 2: Subtract 12x from both sides.
12x+1−12x=12x+1−12x
1=1
Step 3: Subtract 1 from both sides.
1−1=1−1
0=0
Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie
Answer:
Option C : $0.50 per cookie is the right answer.
Step-by-step explanation:
Given that:
Equation used by Mrs. Wright is
y = 0.50x
Here,
y = cost of cookies
x = number of cookies
Thus,
Cost = Price per cookie * Number of cookies
On comparing
Cost per cookie = $0.50
Hence,
Option C : $0.50 per cookie is the right answer.
Choose the correct answer
1. ______is the ratio of 300 to 100.
a) 3 : 1 b) 1 : 3 c) 300 : 1 d) 100 : 3
2. If the weight of 20 books is 80Kg, then the weight of 1 book is..
a) 4 Kg b) 20 Kg c) 40 Kg d) 8 Kg
3. An equivalent ratio of 3 : 2 is
a) 3 : 4 b) 6 : 4 c) 9 : 4 d) 3 : 6
4. The middle terms of 3:15 = 21:105 are.
a) 3 and 15 b) 21 and 105 c) 3 and 21 d) 15 and 21
5. Which of the following is not proportional?
a) 8 : 4 :: 8 : 16 b) 4 : 8 :: 8 : 16 c) 16 : 8 :: 8 : 4 d) 8 : 16 :: 4 : 8
6. If two ratios are equal, then they are in ____________
7. The ratio of 20 boys to 15 girls is _____________
8. Express the following ratios in the simplest form.
a) 14 to 42 b) 56 to 80
9. Check whether the following are in proportion or not.
a) 4, 6, 8, 12. b) 15, 45, 5, 25.
10. If the cost of 6 cans of Juice is ₹ 210, then what will be the cost of 4 Juice?
11. Taniya earns ₹ 150,000 and saves ₹ 50,000. Find the ratio of
a) Her earning to her expenditure b) Her earning to her savings
12. Find the ratio of 15 cm to 2 meters.
Answer:
1) A, 2) A, 3) B, 4) D, 5) A, 6) proportion, 7) 4 : 3, 8) a) The simplest ratio of 14 : 42 is 1 : 3, b) The simplest ratio of 56 : 80 is 7 : 10, 9) a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units, b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series, 10) 4 cans of juice cost 140, 11) a) 3 : 2, b) 3 : 1, 12) The ratio of 15 centimeters to 2 meters is 3 : 40.
Step-by-step explanation:
1) The ratio is determined by following operation:
[tex]x = \frac{300}{100}[/tex]
[tex]x = \frac{3}{1}[/tex]
3 : 1 is the ratio of 300 to 100. (Answer: A)
2) The weight of 1 book is found by the total weight of books divided by the total amount of books, that is:
[tex]x = \frac{80\,kg}{20}[/tex]
[tex]x = 4\,kg[/tex]
The weight of 1 book is 4 kilograms. (Answer: A)
3) The equivalent ratio of 3 : 2 is found by multiplicating both numerator and denominator by a given positive number:
[tex]x = \frac{3\times 2}{2\times 2}[/tex]
[tex]x = \frac{9}{4}[/tex]
An equivalent ratio of 3 : 2 is 6 : 4. (Answer: B)
4) The middle terms of ratio correspond with the denominator of the ratio on the left and the numerator of the ratio on the right. Hence, the middle terms of 3 : 15 = 21 : 105 are 15 and 21. (Answer: D)
5) 8 : 4 is not proportional to 8 : 16, since both numerators and denominators are not multiplied by the same number. That is:
[tex]x = \frac{8\times 1}{4\times 4}[/tex]
[tex]x = \frac{8}{16}[/tex]
8 : 4 :: 8 : 16 is not proportional. (Answer: A)
6) If two ratios are equal, then they are in proportion. That is:
[tex]a \,:\,b \,::c\,:\,d[/tex], where [tex]r = \frac{c}{a} = \frac{d}{b}[/tex], [tex]\forall\,r > 0[/tex].
If two ratios are equal, then they are in proportion. (Answer: proportion)
7) The ratio of 20 boys to 15 girls is derived of 20 divided by 15 until a denominator of the least integer is found by simplifying the fraction:
[tex]\frac{20}{15} = \frac{4}{3}[/tex]
The ratio of 20 boys to 15 girls is 4 : 3. (Answer: 4 : 3)
8) Express the following ratios in the simplest form:
a) [tex]\frac{14}{42} = \frac{7}{21} = \frac{1}{3}[/tex].
The simplest ratio of 14 : 42 is 1 : 3.
b) [tex]\frac{56}{80} = \frac{28}{40} = \frac{14}{20} = \frac{7}{10}[/tex]
The simplest ratio of 56 : 80 is 7 : 10.
9) When a series is in proportion, it must be in increasing or decreasing order at constant rate.
a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units.
b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series.
10) We determine the cost of 4 cans of juice by simple rule of three:
[tex]x = \frac{4\,cans}{6\,cans}\times 210[/tex]
[tex]x = 140[/tex]
4 cans of juice cost 140.
11) a) The ratio of her earning to her expenditure is:
[tex]x = \frac{150000}{150000-50000}[/tex]
[tex]x = \frac{3}{2}[/tex]
The earning to expenditure ratio is 3 : 2.
b) The ratio of her earning to her savings is:
[tex]x = \frac{150000}{50000}[/tex]
[tex]x = 3[/tex]
The earning to savings ratio is 3 : 1.
12) 1 meter equals 100 centimeters. Then, the given ratio is:
[tex]x = \frac{15\,cm}{200\,cm}[/tex]
[tex]x = \frac{3}{40}[/tex]
The ratio of 15 centimeters to 2 meters is 3 : 40.
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
33cm^2
Step-by-step explanation:
Add the areas of the individual shapes so one rectangle and a square.
4*2 + 5*5 > 8 + 25 = 33
Answer:
31 cm²
Step-by-step explanation:
The area of the large figure is the sum of the areas of the smaller rectangles, the 4 cm x 2 cm one and the 5 cm x 5 cm one.
Area of the 4 x 2: 4 x 2 = 8 cm²
Area of the 5 x 5: 5 x 5 = 25 cm²
Sum of the two: 8 cm² + 25 cm² = 31 cm²
a case of fruit weighs 53 kilogram and another weighs 47 kilograms how much weight must be removed from the first case and placed in the second is that they both equal
a . 2 kilograms
b . 4 kilograms
c . 6 kilograms
d . 8 kilograms
There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Fruit weight = 53 kilograms
And, Another weight = 47 kilograms
Now,
Let number of kilograms weights to remove and add = x
So, We can formulate;
⇒ 53 - x = 47 + x
Solve for x as;
⇒ 53 - 47 = x + x
⇒ 6 = 2x
⇒ 2x = 6
⇒ x = 3
Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.
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What is 123x264 answer fast
Answer:
theres something call a calculator but anyways lol the answer is 32472
Answer:
32,472 is the correct answer
The dimensions of a rectangle are given in terms of S as shown below or above.
Q. Which expression represents the perimeter of the rectangle? Mark all that apply.
Answer:
A and D
Step-by-step explanation:
It should be Sx2 + 2(S+ 1/2)
Which is equal to 4s+1
and 2(2s + 1/2) is equal to 4s+1 as well
Which of the following shows 2x3y − 3x2 + 7y2x − 12y written in standard form?
a 2x3y + 7y2x − 3x2 − 12y
b −12y + 7y2x − 3x2 + 2x3y
c 7y2x − 12y + 2x3y − 3x2
d −12y − 3x2 + 7y2x + 2x3y
Answer:
a) 2x³y + 7y²x − 3x² − 12y is the right answer.Step-by-step explanation:
Which of the following shows 2x³y − 3x² + 7y²x − 12y written in standard form?
a) 2x³y + 7y²x − 3x² − 12y✓b) −12y + 7y²x − 3x² + 2x³y
c) 7y²x − 12y + 2x³y − 3x²
d) −12y − 3x² + 7y²x + 2x³y
Answer:
2x^3 y + 7y^2 x − 3x^2 − 12y
Step-by-step explanation:
(Just took test)
In order for it to be in standard form in needs to be in the proper order. So just rearrange the numbers to the correct spots to get your answer.
what is the rate unit for 1700 meters in 40 minutes
please help
Answer:
42.5m/s
Step-by-step explanation:
Divide by 40
3112 용 니
3 1/2 divided by 4
Answer:
0.875
Step-by-step explanation: hoped i helped ^-^
10e=1
What does E equal cause i need help
The value of e is 0.1 in the equation 10e=1.
In the equation 10e = 1, the letter "e" represents an unknown variable.
To find the value of "e," you need to isolate it on one side of the equation.
Divide both sides of the equation by 10:
(10e) / 10 = 1 / 10
This simplifies to:
e = 1/10
e=0.1
Hence, the value of e is 0.1.
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H. M m m m m m m. M mm m m mm m m mmm m m. Mm m m mm m m m. Mmm m m m mm mm m m mm m mm
Answer:
-97.3 > -97.6
They're both negative, so the seemingly smaller number would be the larger one.
what is 10% of 50 ??
Answer:
5
Step-by-step explanation:
10% = 0.1
0.1*50 = 5
Answer:
5
Step-by-step explanation:
10 percent *50 =
( 10:100)*50 =
( 10*50):100 =
500:100 = 5
Now we have: 10 percent of 50 = 5
dave uses the associative property of multiplication to write an expression that is equivalent to 8 times 5 times b which expression did he write
Answer:
The associative property of multiplication
8 . ( 5. b ) = ( 8. 5) . b
Step-by-step explanation:
Explanation
The associative property of multiplication
a . ( b. c ) = ( a. b) . c
Given numbers are 8, 5 and b
The associative property of multiplication
8 . ( 5. b ) = ( 8. 5) . b
8 . ( 5. b ) = ( 8. 5) . b = 40 b
You deposit $2000 in an account that earns 5% annual interest. Find the balance in the account after 8 years if the interest is compounded monthly
FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]
= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96
= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]
= 2981.17
5=1/3(2x+12)
Solve for X in simplest form
9514 1404 393
Answer:
x = 3/2
Step-by-step explanation:
Multiply by 3 and solve the resulting 2-step equation.
5 = (1/3)(2x +12)
15 = 2x +12 . . . . . . multiply by 3
3 = 2x . . . . . . . . . . subtract 12
3/2 = x . . . . . . . . . . divide by 2
An 18 foot ladder is leaning against a building. The base of the ladder is 6 feet from the base of the
building. What angle does the ladder make with the ground?
Answer:
right trianlge i think
Step-by-step explanation:
Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius
Answer:
It is very cool that Mariana wears her winter coat when the temperature is colder than -4 degrees Celsius
that means when it is 10 degrees Celsius, she won't wear her winter coat
Volume?? Please help giving out brainliest and 12 points for answering
Answer:
1395
Step-by-step explanation:
Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid
volume of rectangular prism is 15·9·7=945
volume of pyramid is (15·9·10)/3=450
add
450+945=1395
will make brainliest with correct answer
Answer:
10
Step-by-step explanation:
8² = 64
6² = 36
64 + 36 = 100
√100 = 10
Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?
Answer: Piper will have $3750
Step-by-step explanation:
In this situation we will represent the total amount she have in the bank by y and the number of weeks by x
The whole situation can be represented by the the equation
y = 1400 + 50x where y is the total amount , 1400 is the initial amount Piper deposited , 50 is of course the amount Piper will deposit each week , and x is the number of weeks.
Now since they are looking for the amount Piper will have in his account, you have to input 47 for x and solve for y.
y = 1400 + 50(47)
y = 1400 + 2350
y = 3750
Kim’s family invested $3000 in a certificate of deposit (CD) for her when she was born. the interest rate is 8% and is compounded quarterly. what is the value of the CD in 5 years? what is the value of the CD if it is compounded annually for 15 years?
Answer:Kim’s family invested $3000
Step-by-step explanation:
The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.
The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.
The value of the CD at the end of each quarter can be calculated using the formula:
CD value at end of quarter = CD value x (1 + interest rate per quarter)
For example, at the end of the first quarter, the CD value would be:
CD value at end of first quarter = $3000 x (1 + 0.02) = $3060
You can repeat this process for each quarter to find the CD value at the end of 5 years.
After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:
CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84
To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:
CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01
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