Answer:
4 is the slope
Step-by-step explanation:
y = -5+4x
We know the slope intercept form is
y = mx+b
where m is the slope and b is the y intercept
y = 4x-5
where 4 is the slope and -5 is the y intercept
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.
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
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
Solve for the value of p.
2 x p = 34
Answer:
p = 34/2
p= 17
thank you.
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
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
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
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
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
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.
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.
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
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.
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!!!!!!!!!!
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
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.
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
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 school librarian is purchasing books for the next school year. She surveyed 25 students and 6 said that they prefer science fiction books. If there are 125 total students, how many science fiction books should be purchased.
Answer:
30 science fiction books
Step-by-step explanation:
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 :)
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
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:
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle?
The answer choices are
65°
80°
50°
30°
Plz help
Answer:
80
Step-by-step explanation:
An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees
find the measure of the angles indicated
Answer: 60º
Step-by-step explanation:
With respect to the line ZB, it makes an angle of 180º if measured using DZ. If the angle outside the triangle measures 140º, subtract from 180º to find the angle inside the triangle.
180º-140º=40º
So, now we have angle c=80º and angle b=40º, we can make an equation to find angles D which we'll call x.
The sum of the angles of a triangle must be equal to 180º.
80+40+x=180
120+x=180
x=180-120
x=60
Answer:
Find the measure of the angles indicated
∠CDB = 60°
Step-by-step explanation:
∠CBD + ∠CBZ = 180°
∠CBD + 140° = 180°
∠CBD = 180° - 140°
∠CBD = 40°
∠CBD + ∠BCD + ∠CDB = 180°
40° + 80° + ∠CDB = 180°
120° + ∠CDB = 180°
∠CDB = 180° - 120°
∠CDB = 60°
what is 11/4 as a percent
Answer:
275%
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.
What is the formula to find the volume of the solid ?
Answer:
Step-by-step explanation:
This solid figure is a cone,
Volume=(πr²H)/3 cubic units
r ----> radius
H -------> height
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
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. :)