Answer:
Metre
Step-by-step explanation:
Answer:
Degree sign C/ km
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Order the rational numbers from least to greatest
Answer:
its the 3rd one
Step-by-step explanation:
you find which one is smaller and then you go to the next one up
Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down
Answer:
up
Step-by-step explanation:
a is positive
The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.
Answer: - 63
Step-by-step explanation:
An arithmetic progression is such that the N-th element is equal to:
An = A1 + (n-1)*R
where A1 is the first term, and R is the difference between two consecutive terms.
We know that
A1 + 9*R = -37
and
A1 + (A1 + R) + (A1 + 2R) + (A1 + 3R) + (A1 + 4R) + (A1 + 5R) = -27
6*A1 + R(1 + 2 + 3 + 4 + 5) = -27
6*A1 + 15*R = -27
so we have two equations:
6*A1 + 15*R = -27
A1 + 9*R = -37
Let's find A1 and R.
First, isolate A1 in the second equation:
A1 = -37 - 9*R
now replace it in the other equation and solve it for R.
6*A1 + 15*R = -27
6*(-37 - 9*R) + 15*R = -27
-222 - 54*R + 15*R = -27
-39*R = -27 + 222 = 195
R = 195/-39 = -5
Now we can find the value of A1:
A1 = -37 - 9*R = -37 - 9*-5 = 8
So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.
A7 = 8 + 6*-5 = -17
A8 = 8 + 7*-5 = -22
Sum = -27 -17 - 22 = -63
An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
Select all the expressions which are equivalent to
-4/3p - 2/5
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are B and D.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that are equivalent to -4/3p - 2/5 are:
-2/5 -4/3p-4/3p + (-2/5)Hence, the correct options are B and D.
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Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer
Correct question:
Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.
Answer: - 2/3
Step-by-step explanation:
Given the following :
Amount of gallon tank can hold = 10
tank drains at a constant rate :
First look tank contains 7 gallons
After 3 minute,
Tank contains 5 gallons
Thus signifies a 2 gallon decrease in volume of water after 3 minutes
Therefore, the rate of change =( change in volume) / time
Rate of change = (final volume - initial volume ) / 3
(5 - 7)/ 3 = - 2/3
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Step-by-step explanation:
A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore
Opposite side = 2/2 = 1 yrd
Slant height, L = hypotenuse
Adjacent side = 2 yrd
Hypotenuse² = opposite side² + adjacent side²
L² = 1² + 2² = 5
L = √5 = 2.24 yrds
Slant height = 2.24 yrds
B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24
Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²
Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²
surface area of composite figure = 20 + 8.96 = 28.96 yrds²
C) volume = 1/3 × base area × height
Volume = 1/3 × 2² × 2 = 2.67 yrds³
a square of area is 36 cm squared is cut to make two triangles, A and B. The ratio of area A to area B is 2:1. Work out the dimensions of rectangles A and B.
Dimensions of:
Rectangle A are 6 cm by 4 cm.
Rectangles B are 6 cm by 2 cm.
Step-by-step explanation:
It is given that:
The area of square is 36 cm^2.
Hence, the side of the square is given as:
Area=(side)²
36=(side)²
side=6
Hence, the side of square is 6 cm.
Now, as the area of two rectangles A and B are in the ratio:
2:1
This means that, the area of rectangle A is 24 cm².
and area of rectangle B is 12 cm²
( Since, 36/(2+1)=36/3=12
Area of rectangle A=2×12=24 cm²
Area of rectangle B=1×12=12 cm². )
Hence, the dimensions of A are:
6 cm by 4 cm.
and the dimensions of rectangle B are:
6 cm by 2 cm.
Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?
Answer:
4.8 dollars for 1 pound super nutty
The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?
Could whoever answers pls tell the equation used?
Answer: Bea has $30 saved
Step-by-step explanation:
Add 10: 50+10=60
Divide by 2: 60/2=30
there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/
Answer:
There are 3 roses in the garden.
Step-by-step explanation:
If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.
The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31
Answer:
mean number of hours worked = 32
Step-by-step explanation:
The mean or average of a set of data is the sum of the individual data divided by the number of entries.
Therefore, the mean number of hours worked is calculated as follows:
sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320
Number of entries = 10
mean number of hours worked = sum of the number of hours ÷ Number of entries
mean number of hours worked = 320 ÷ 10 = 32
What is the solution?
Answer:
Answer: w=2 and 2=6
Step-by-step explanation:
If you substitute 6 and 2 in for w they both work, making c the correct answer
Step-by-step explanation:
I did the work on a piece of paper and attached the picture.
Hope this helps :)
Solve for the value of p.
2 x p = 34
Answer:
p = 34/2
p= 17
thank you.
Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?
Answer:
- 4
Step-by-step explanation:
The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to
= -6 - 6 + 10 + 2 -4
= -4
Anthony earned a total of - 4 from the 5 throws.
How is writing expressions with variables and numbers similar to writing expressions using words?
Whoever answers this first will get brainliest.
The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.
Answer:
Sometimes in math we describe an expression with a phrase. For example, the phrase
"2222 more than 5555"
can be written as the expression
2+52 + 52+52, plus, 5.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).
For example,
"3333 more than xxxx"
can be written as the algebraic expression
x+3x+ 3x+3x, plus, 3.
But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.
Different words for addition, subtraction, multiplication, and division
Here is a table that summarizes common words for each operation:
Operation Words Example algebraic expression
Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3
Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6
Multiplication times, product 8k8k8k8, k
Division divided, quotient a÷9a \div 9a÷9a, divided by, 9
For example, the word "product" tells us to use multiplication. So, the phrase
"the product of 8888 and kkkk
Let's take a look at a trickier example
Write an expression for "mmmm decreased by 7777".
Notice that the phrase "decreased by" tells us to use subtraction.
So the expression is m−7m - 7m−7m, minus, 7.
What is the surface area of a cube in which each face of the cube has an area of 7 cm??
Answer:
42
Step-by-step explanation:
6 faces to a cube
each face has area of 7
6*7 is 42
Answer:
42 is correct
Step-by-step explanation:
give the other person brainliest
Someone please help me. ASAP
Answer:
x = 6
Step-by-step explanation:
we both know you dont wanna know how you just want the answer
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
The following equation is true for all real values of n for which the expression on the left is defined, and B is a polynomial expression.
Answer:
6n^3
Step-by-step explanation:
3/3 *9^10/453*7+sqrt175
The polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
What is Polynomial expression?Given:
[tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]
To find:
the value of B is a polynomial expression.
Step 1
Let, [tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]
[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$[/tex]
Simplifying the above equation as
[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$[/tex]
then, we get
[tex]$\frac{B}{6 n^{3}}=1$$[/tex]
Step 2
Multiply both sides by [tex]$6 n^{3}$[/tex], then we get
[tex]$\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$[/tex] where, [tex]\quad n \neq 0[/tex]
Simplifying the equation as
[tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex]
The value of [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
Therefore, the polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].
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In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
4/24
Step-by-step explanation:
Answer:
4/24
Step-by-step explanation:
Need help ASAP. WILL MARK BRAINLIEST
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.
The Rams won 3 times the number of games as the bears. The lions won 12 more games than the bears. The rams and the lions are both in first place, Having won the same number of games. let b equal the number of games the bears won. Solve for b
Answer:
6
Step-by-step explanation:
R=3b
L=b+12
R= 3x6=18
L=6+12=18
solve for c. 4(3+c)+c=c+14
Answer:
c = 1/2
Step-by-step explanation:
Solve for c:
c + 4 (c + 3) = c + 14
4 (c + 3) = 4 c + 12:
4 c + 12 + c = c + 14
Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:
(c + 4 c) + 12 = c + 14
c + 4 c = 5 c:
5 c + 12 = c + 14
Subtract c from both sides:
(5 c - c) + 12 = (c - c) + 14
5 c - c = 4 c:
4 c + 12 = (c - c) + 14
c - c = 0:
4 c + 12 = 14
Subtract 12 from both sides:
4 c + (12 - 12) = 14 - 12
12 - 12 = 0:
4 c = 14 - 12
14 - 12 = 2:
4 c = 2
Divide both sides of 4 c = 2 by 4:
(4 c)/4 = 2/4
4/4 = 1:
c = 2/4
The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:
Answer: c = 1/2
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
expand the linear expression 6(7m+2)
Answer:
42m +12
Step-by-step explanation:
6(7m+2)
Distribute
6*7m +6*2
42m +12
Answer:
42m+12
Step-by-step explanation:
A gardener used 3/8 square foot of his garden to plant 1/4 packet of flower seeds. If he continues spacing the seeds in the same way how many square feet will be covered with the entire packet of seeds. Write as a decimal. *
Answer:
1.5 square feet will be entirely covered
Step-by-step explanation:
Firstly, let’s have an arbitrary value for the total area of a garden.
Let’s say the total garden has a measure of 80 square foot.
Now, 3/8 which is corresponding to 3/8 * 80 = 30 square foot was used to plant 1/4 packet of flower seeds.
To plant another 1/4, what will be required is another 30 square foot, to plant the third 1/4, what is required is another 30 square foot, to plant the last set of 1/4, what is required would be another 30 square foot
The total amount of square foot thus needed is 30 + 30 + 30 + 30 = 120 square foot
Now this fraction measures in decimal that of the initial total; 120/80 = 30/20 = 1.5 square feet
OR
we can have it as;
1/4 of packet covered 3/8 square feet
1 packet will cover x square feet
Mathematically;
x * 1/4 = 3/8 * 1
x = 3/8 divided by 1/4
x = 3/8 * 4 = 12/8 = 1.5 square feet
How much money was raised with the 100 tickets solved?
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
Sorry if it's too late, I hope it helps. :)
Can someone help me? i'll be giving brainliest
Answer:
x= 55
Step-by-step explanation:
Answer:
the answer id 62
Step-by-step explanation: 62!!!!!!!!!!
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.