Answer:
The number of blocks that will be needed to build the wall is 2500
Step-by-step explanation:
The number of blocks that will be needed to build the wall is;
[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\[/tex]
given the dimensions of the block and wall as;
block = 22cm by 11cm by 7cm
wall = 5 1/2m long, 22cm thick and 3 1/2m high. = 550cm by 22cm by 350cm
substituting into the equation, we have;
[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\\\n = \frac{550*22*350}{22*11*7} \\n = 2500[/tex]
The number of blocks that will be needed to build the wall is 2500
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.2 liters b.3 liters c.1 liter d.4 liters
Answer:
Option B. 3 liters
Step-by-step explanation:
First, we shall determine the total volume of soup that Mei have. This is illustrated below:
Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.
Next, we shall convert 2400mL to litres (L). This can be obtain as follow:
1000mL = 1L
Therefore, 2400mL = 2400/1000 = 2.4L
Mei have 2.4L of soup.
Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.
The speed of light is 3 • 105 kilometers per second. What is that in standard form?
Answer:
approximately 300,000,000 meters per second
Answer:
300,000
Step-by-step explanation:
Take 3 x 10^5 and simply add 5 zeros to 3. I know what you meant with your numbers', and this is the right answer.
Write the set { 1, 3, 7, 15, 31, 63 } in set builder form
Answer:
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Step-by-step explanation:
Mathematically, we can rewrite each term in the set as follows;
1 = 2^1 - 1
3 = 2^2 -1
7 = 2^3 -1
15 = 2^4-1
31 = 2^5-1
63 = 2^6 -1
so we can conclude that the nth term is 2^n -1
So writing this in set builder notation, we have;
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Which of the following is equivalent to (5) Superscript seven-thirds? 5–4 54 RootIndex 7 StartRoot 5 cubed EndRoot RootIndex 3 StartRoot 5 Superscript 7 Baseline EndRoot
Answer:
[tex]\sqrt[3]{5^7}[/tex]
Step-by-step explanation:
According to the rules of roots and exponents, ...
[tex]\displaystyle \boxed{5^{7/3}=\sqrt[3]{5^7}}[/tex]
__
The denominator of the fractional exponent is the index of the root. The numerator of the fractional exponent can be applied inside or outside the root:
a^(b/c) = (a^(1/c))^b = (a^b)^(1/c)
The answer will be 3 StartRoot 5 Superscript 7 Baseline EndRoot.
3 StarRootThe 3 StarRoot of a number is the factor that we multiply by itself three times to get that number
How to solve this problem?The steps are as follow:
5 Superscript seven-thirds can be represented as [tex]5^{\frac{7}{3} }[/tex]It can also be represent as [tex][5^{7}]^\frac{1}{3} }[/tex]Now as per rule of mathematics:[tex][5^{7}]^\frac{1}{3} } = \sqrt[3]{5^{7} }[/tex]
So, 5 Superscript seven-thirds equivalents to 3 StartRoot 5 Superscript 7 Baseline EndRoot
Learn more about 3 StarRoot here:
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Chloe earned a total of $44 by selling 22 cups of lemonade. After selling a total of 45 cups of lemonade, how much money will Chloe have made in all? Solve using unit rates.
Answer:
90$
Step-by-step explanation:
Let's find the price of one cup of lemonade.
We are given that it costs 44$ for 22 cups (44/22).
Divide 44 by 22 to get the price per cup.
44/22 = 2
Therefore, 2 dollars per cup.
We want to find the amount of money Chloe will have made after selling a total of 45 cups of lemonade-45 times amount per cup
45 cups by 2 dollars per cup = 90$
Answer:
$[tex]90[/tex]
Step-by-step explanation:
To start off, we will have to divide [tex]\frac{44}{22}[/tex] to see how much she makes per cup.
After dividing, we notice that the answer is [tex]2[/tex] or $[tex]2[/tex] per cup.
To see how much she made for [tex]45[/tex] cups, we will have to multiply it by [tex]2[/tex].
[tex]45(2)=90[/tex]
Hence, Chloe made $[tex]$90[/tex] from selling 45 cups of lemonade.
Hope I helped:D
-Jazz
simplify -54 / 9 * -7 / 6
Answer:
7
Step-by-step explanation:
-54 / 9 * -7 / 6
Multiply and divide from left to right
-6 * -7/6
42 / 6
7
Answer:
7
Step-by-step explanation:
Simply multiply the numerators together and the denominators together:
-54(-7) = 378 (numerator)
9(6) = 54 (denominator)
378 dived by 54 is 7
All three sides and all three angles are equal in an equilateral triangle. Could this figure
also be a parallelogram?
never
always
sometimes
Answer:
never
Step-by-step explanation:
Any triangle can never be a parallelogram because it only has three sides.
quadrilateral with parallel sides is a parallelogram.
Can some one help me on this 10pts
Answer:
x = 20
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent, that is
∠ A = ∠ D , thus
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
I need to know the volume of this droplet in cubic meters!
Answer:
There are 100³ = 1000000 cubic cm in one cubic meter so the answer is 0.1 / 1000000 = 1 / 10000000 = 0.0000001 cubic meters.
Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction.
g(f(x))
Answer:
4x2-7
Step-by-step explanation:
4(x2+2)-1=4x2+8-1=4x2=7
Solve the inequality. 4(p – 4) > 12 A. p 3 C. p > 16 D. p > 7 it would be nice if you can show me how you did step by step
Answer:
D
Step-by-step explanation:
Given
4(p - 4) > 12 ( divide both sides by 4 )
p - 4 > 3 ( add 4 to both sides )
p > 7 → D
What number is 84% of 875?
Answer:
735
Step-by-step explanation:
Of means multiply
84% * 875
change to decimal form
.84* 875
735
Answer:
735
Step-by-step explanation:
a percent of any number is the decimal version of the percentage times the number.
84% = 0.84
We multiply it by the number and get 0.84*875 = 735
Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Baseline n Superscript 4 Baseline EndFraction) squared What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4 Over 25 EndFraction StartFraction 4 Over 25 EndFraction StartFraction 24 Over 25 EndFraction
Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of m and n is:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
Exponent rule of division:
[tex]a^{x}\div a^{y}=a^{x-y}[/tex]
Compute the value of the expression for m = -5 and n = 3 as follows:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]
[tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]
Thus, the correct option is option (3) 4 ÷ 25.
Answer:
4/25
Step-by-step explanation:
I just did the test
Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below. Alice: 14 minus x He had $14, then he lost (subtraction) an unknown amount (x). Bobby: x minus 14 He had an unknown amount of money (x) and he lost (subtraction) $14. Camila: 14 greater-than x He had $14 more than (>) the unknown amount (x) he lost. Daniel: 14 less-than x He had $14 less than (<) the unknown amount (x) he lost. Which student’s solution is correct? Alice Bobby Camila Daniel
Answer:
Alice
Step-by-step explanation:
First we need to translate the statement and then pick from the ones given.'
So, Remy lost some of the $14 his mom gave him.
Key word Lost Some
He had 14 and lost some (x)
Lost = Minus ( - )
14 - x
Alice: 14 - x. He had $14, then he lost (subtraction) an unknown amount (x).
This answer matches our answer, therefore;
Alice: 14-x. Then he lost (subtraction) an unknown amount (x).
Answer:
A)14-x which is for Alice
Step-by-step explanation:
it says remy lost of the $14 his mother gave him it means his mom gave him $14 but he misplaced some of it ,so the expression will be 14-x
convert 203base five to base ten.
Answer:
53
Step-by-step explanation:
Step1: Converting 203 to base 10.
2*52=50
0*51=0
3*50=3
Adding all to get Answer=5310
Step2: Converting 5310 to 10
The equation calculation formula for 5310 number to 10 is like this below.
10|53
10|5|3
10|5|5
Answer:5310
40 thousandths= how many hundredths? I'll mark brainliest for whoever answers first :D
Answer:
Is it 0.04?
Step-by-step explanation:
Do tell me if I'm wrong please.
The value of each digit in a number is known as the place value. The number of hundredths that 40 thousandths will have is 4.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10A thousandth is the (1/1000)th part of something, while a hundredth is the (1/100)th part of something.
Let the number of hundredths be x. Therefore, the number of hundredths can be written as,
40(1/1000) = x(1/100)
0.04 = x/100
x = 4
Hence, the number of hundredths that 40 thousandths will have is 4.
Learn more about the Place Value:
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P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
on a new house. How much did Karen withdraw from the account?
(Round to the nearest cent as needed.)
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
Round to the nearest cent as needed.)
Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x. 35° 48° 69° 78°.
Answer:
y = 73°
x = 35°
Step-by-step explanation:
The three angles 51° , 56° and y form a straight angle.
This means that:
51 + 56 + y = 180
107 + y = 180
y = 180 - 107
y = 73°
Answer: 35
Step-by-step explanation:
hi PLLSS HELP solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation? {–22, 14} {–14, 22} {–10, 2} {–2, 10}
Answer:
{ - 2, 10 }
Step-by-step explanation:
Given
x² - 8x = 20
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 20 + 16, that is
(x - 4)² = 36 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 4 to both sides )
x = 4 ± 6
Thus
x = 4 - 6 = - 2
x = 4 + 6 = 10
Answer:
d is it
Step-by-step explanation:
Determine the number of solutions for the equation shown below x= x - 9
Answer:
None (0)
Step-by-step explanation:
x = x - 9
-x -x
0 = -9
No solution
Please help me:((((((( It is real urgent! Please and thank you
Answer:
B. p > 12.80(160) + 8235.
Step-by-step explanation:
Since he wants to make a profit, the price he will need to receive for his crop will have to exceed his costs. So, the equation would use the > sign rather than the >= sign.
He harvests crops for $12.80 per acre, with 160 acres. That would be 12.80(160).
He is spending $8235, which adds to the costs of harvesting.
So, the answer will be B. p > 12.80(160) + 8235.
Hope this helps!
Ramani has 3 times as many two -rupee coins as she has five- rupee coins . If she has in all a sum of Rs.77 , then how many coins of each denomination does she have ?
Answer:
21- two rupee coins
7- five rupee coins
Step-by-step explanation:
3x(2)=5x
6x=5x
6x+5x=77
11x=77
x= 7
thus 3x(2)means she has 21-2 rupee coins and 7-5rupee coins.
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answer:
Step-by-step explanation:
Arbitrarily choose a couple of x value using the given function, and write your results in a x-y table as (x, y). Plot these points. Connect them with a smooth curve. if you have any doubts about the shape of the grqph, pick more x values in the neighborhood and plot them also.
Can someone help me please?
Answer:
b = -1
Step-by-step explanation:
5 ^ ( 3b-1) = 5 ^ ( b-3)
since the bases are the same, the exponents are the same
3b-1 = b-3
Subtract b from each side
3b-1-b = b-3-b
2b -1 = -3
Add 1 to each side3
2b-1+1 = -3+1
2b = -2
Divide by 2
2b/2 = -2/2
b =-1
Answer:
b = -1.
Step-by-step explanation:
Since the bases are the same (they are both 5), you can set 3b - 1 equal to b - 3.
3b - 1 = b - 3
3b - b = -3 + 1
2b = -2
b = -1
To make sure you are correct...
5^(3 * -1 - 1) = 5^(-1 - 3)
5^(-3 - 1) = 5^(-4)
5^(-4) = 5^(-4)
Since it matches up, you know that b = -1.
Hope this helps!
An automobile salesman receives a monthly bonus cheque if his commission income is at least $5,800.00 in a given month. There are 45 automobiles on the lot for sale and he receives a commission of $725.00 per sale. Which inequality shows the number of automobiles,x , the salesman must sell in order for him to receive a bonus cheque at the end of the month?
Answer:
x[tex]\geq[/tex]8
Step-by-step explanation:
in order to make 5800. he would need to sell 8 cars at 725. each (5,800/725.=8) so x would have to be equal to or greater that 8
What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28)
Answer:
-2x + 3
Step-by-step explanation:
Step 1: Write out expression
-1/5(5x + 20) - 1/4(4x - 28)
Step 2: Distribute
-1/5(5)x - 1/5(20) - 1/4(4)x + 1/4(28)
Step 3: Multiply
-x - 4 - x + 7
Step 4: Combine like terms
-2x + 3
Answer:
agenthammerx is right plz give him stars
Step-by-step explanation:
How much of a radioactive kind of francium will be left after 10 minutes if the half-life is 5 minutes and you start with 96 grams?
Answer:
24
Step-by-step explanation:
96/2=48/2=24
The point (1, 3) maps to (-1, 4). Which of the following rules would generate this transformation?
(х + 4, у – 2)
(х + 2, у – 1)
(X - 2, y + 1)
(x - 4, y + 2)
Answer:
(x-2,y+1)
Step-by-step explanation:
from point (1, 3) to (-1, 4).
x=1 to x=-1
x-2=-1
1-2=-1
from y=3 to y=4
y+1=4
3+1=4
Does 24,7 and 26 make a right triangle
Answer:
no it doesn't
Step-by-step explanation:
Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.
Hope this helps!! :D
Answer:
these points will not form a right-angled triangle
Step-by-step explanation:
By using pythagoras theorem
(26)²=(24)²+(7)²
676=576+49
676≠625 so these points will not form a right-angled triangle
i hope this will help you :)