Slope is also known as the gradient of a line. The number of blocks that Teddy is weighing is 20 blocks per pound.
What is the Slope of a line?
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. It also tells us the rate between the two given quantities.
As the graph is given to us and we need to find the number of blocks teddy is putting per pound, therefore, we need to calculate the rate of the graph also known as the slope of the graph, therefore, using any of the two points to calculate the slope of the graph,
[tex]{\rm Point1} : (x_1, y_1) = (0, 0)\\\\{\rm Point2} : (x_2, y_2) = (5, 100)[/tex]
We know that the slope of the line is given as,
[tex]\text{Slope of the line} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values,
[tex]\text{Slope of the line} = \dfrac{100-0}{5-0} = \dfrac{100}{5}=20[/tex]
Hence, the number of blocks that Teddy is weighing is 20 blocks per pound.
Learn more about Slope:
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A pear costs $0.40 and an Apple costs $0.25. What is the total cost of p pear and a apples?
Answer:
$0.65
Step-by-step explanation:
$0.40 + $0.25 = $0.65
Answer:
0.40p+0.25a=cost
Step-by-step explanation:
Considering that every apple costs 25 cents and every pear costs 40 cents, you would multiply how many apples and or pears there are by how much they are worth and then add it to get the total cost. Due to there not being a specific total or how many apples and/or pears there are, it currently can't be solved.
An angle is a right angle if it measures 30°.
Write the statement in if-then form.
Then identify the hypothesis and conclusion of the resulting conditional statement.
Finally, determine the truth value of the statement.
2. Write your own statement in if-then form. Then identify the hypothesis and conclusion of the resulting conditional statement.
Determine the truth value of the statement.
Write it’s converse to see if it’s true. If the converse is true, write a bi-conditional statement.
Answer:
1) If the measure of an angle is 30°, then it is a right angle
2) The hypothesis = The measure of an angle is 30°
The conclusion = It is a right angle
3) The statement is false
Step-by-step explanation:
1) The information given is that an angle is a right angle if it measures 30°
The statement in the if-then form can be presented as follows;
If the measure of an angle is 30°, then it is a right angle
2) The hypothesis = The measure of an angle is 30°
The conclusion = It is a right angle
3) Given that a right angle measures 90°, the compound statement; "If the measure of an angle is 30°, then it is a right angle" is false.
in class 60% are girls and 50 are boys find the total student of class
Hello
60 % are girls
40 % are boys
40 % = 50 boys
60 % = 75 girls
75 + 50 = 125
Step-by-step explanation:
Let number of students be X
Percentage of boys=100-60=40%
No of boys= 40% of X
50= 40×X/100
X= 50 × 100/40
X =125 total number of students
Need help asap please help
Answer:
20
Step-by-step explanation:
[tex] {x}^{2} = {16}^{2} + {12}^{2} [/tex]
[tex] { x}^{2} = 256 + 144[/tex]
[tex] {x}^{2} = 400[/tex]
[tex]x = 20[/tex]
Teresa earns $6.25 per hour. calculate her wage for the week if she works 24 hours
Answer:
$1050
Step-by-step explanation:
6.25 x 24 = 150
150 x 7 = 1050
Answer: The answer is $1050
Step-by-step explanation: You why? Because 6.25 x 24 = 150 150 x 7 = 1050 so it's $1050
NOBODY ANSWERD THIS YET BUT CAN YOU HELP ME!!
Answer:
yes i can help you
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Simplify the expression: 6+12x = ______
Please help! I would be really grateful-this is due tonight! Please answer ASAP
Answer: 6(1+2x)
Step-by-step explanation:
Factor out the six
Please answer ASAP and right please!
Answer:
she'll have 8 plates with 7 spring rolls and 9 plates with 9 cheese cubes.
Step-by-step explanation:
Lines a and b are parallel. The slope of line b is 1/3. What is the slope of line a?
Answer:
1/3
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, if the slope of line b is 1/3, the slope of line a is also 1/3
Complete the square for each expression. Write the resulting expression as a binomial squared. x^2-10x+_____
Answer:
[tex](x-5)^{2}[/tex]
Step-by-step explanation:
[tex]ax^{2} + bx + c[/tex]
Take the value for b, divide it by 2 and square it to get the value for c.
In this case, b = -10.
- 10 ÷ 2 = -5
-5^2 = 25
So x^2 - 10x +25 is your quadratic equation which is equal to
[tex](x-5)^{2}[/tex]
Find the missing side length. Leave your answers as radicals in simplest form.
Explain the steps
Answer:
m = 5
n = 5
Step-by-step explanation:
Note that the ∑ of the interior angles of a triangle = 180°.
A square for one of the angles constitute as 90°.
This means that this is a isosceles triangle.
Note that for isosceles triangles, the sides will follow the rule of 1 , 1 , √2, in which √2 is the hypotenuse.
The hypotenuse is the side opposite of the greatest angle measurement. It is given that the hypotenuse for the given triangle is 5√2. Divide √2 from the given measurement to get the measurements for the legs:
[tex]\frac{5\sqrt{2} }{\sqrt{2} } = 5[/tex]
Again, as it is a isosceles triangle, the two sides will share the same measurement.
m = 5
n = 5
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Ivan must choose a number between 55 and 101 that is a multiple of 4, 5, and 8. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Answer:
the answe is 80!
Step-by-step explanation:
It is 80! Hope it helps
Courtney has 4/15 bags of flour o use in her donut shop. each bag of flour will make 12.5 batches of doughnut . how many batches of doughnuts willcourtney be ableto make
Answer: [tex]3\frac{1}{3}[/tex]
3/5 dived by 2/5 pzill give brainliest
Answer:
6
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Help me solve problem 7
Answer:
3-2r + 1 - 13
Step-by-step explanation:
3-2r + 1 - 13
Answers:
Compound inequality: 1 < x < 6Graph: Open hole at 1 and 6, shading in between (see diagram below)Interval notation: (1,6)=============================================
Work Shown:
3 < 2x+1 < 13
3-1 < 2x+1-1 < 13-1 .... subtract 1 from all sides
2 < 2x < 12
2/2 < 2x/2 < 12/2 ... divide both sides by 2
1 < x < 6
The value of x is between 1 and 6, excluding both endpoints.
Since we exclude both endpoints, the graph will have open holes at 1 and 6 on the number line. The shading is between the open holes. The graph is below.
Converting 1 < x <6 to interval notation leads to (1, 6)
The curved parenthesis in interval notation indicate "exclude the endpoint".
Find the percentage of the given fractions.
a) 32.5/40
b) 31.5/40
c) 29.5/35
d) 26/35
e) 24/35
Round to the nearest whole number.
Answer:
Step-by-step explanation:
a) 32.5/40
= 32.5/40 * 100%
= 81.25%
~81%
b) 31.5/40
= 31.5/40 * 100%
= 78.75%
~79%
c) 29.5/35
= 29.5/35 * 100%
= 84.3%
~84%
d) 26/35
26/35 * 100%
= 74.3%
~74%
e) 24/35
24/35 * 100%
= 68.6%
~69%
Answer:
See below ~
Step-by-step explanation:
a) 32.5/40
32.5/40 = 0.8125⇒ 81.25%⇒ 81%b) 31.5/40
31.5/40 = 0.7875⇒ 78.75%⇒ 79%c) 29.5/35
29.5/35 = 0.8429⇒ 84.29%⇒ 84%d) 26/35
26/35 = 0.7429⇒ 74.29%⇒ 74%e) 24/35
24/35 = 0.6857⇒ 68.57%⇒ 69%please someone answer!!
Answer:
x=31
Step-by-step explanation:
x=180-149
x=31
NEED HELP ASAP!!!!!!!!!
Steve has 12 biscuits in a tin.
There are 7 digestive, 2 chocolate and 3 ginger biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.
Answer:
There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.
The probability of choosing a digestive then a chocolate is as follows:
7/12 * 5/11 =0.265
The probability of choosing a chocolate then a digestive is as follows:
5/12*7/11 = 0.265
Therefore the combined probability is 0.53 or 53%
Probability of digestive and chocolate
7/12×2/11=14/132=7/66And
2/12×7/11=7/66Probability of digestive and ginger
7/12×3/11=21/132=7/44And
3/12×7/11=7/44Probability of ginger and chocolate
2/12×3/11=6/132=3/66=1/22Rosie orders dessert at the
cafe. The total bill is
$53.00. She tips the waiter
25%. How much money is
left for the waiter?
Answer:
$13.25
Step-by-step explanation:
100% = $53
÷ 4 both sides to get to 25%
25% = $13.25
0.5 is what percent of 20?
Answer:
2.5%
Step-by-step explanation:
Solving
Step 1: Set up an equation.
[tex]\frac{x}{100} *20=0.5[/tex]Step 2: Simplify both sides.
[tex]\frac{20}{100}x=0.5[/tex] [tex]\frac{1}{5}x=0.5[/tex] [tex]0.2x=0.5[/tex]Step 3: Divide both sides by 0.2
[tex]0.2x/0.2=0.5/0.2[/tex] [tex]x=2.5[/tex]Therefore, 0.5 is 2.5% of 20.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
X=?
0.5
total from 20
what percentage is O.5 of 20
therefore X/100*20 = 2.5
A truck travels 0.72 km on 0.01 litre of fuel.
How many kilometres will it travel on 1 litre of fuel?
Answer:
Your Answer is below.
Step-by-step explanation:
Okay so, can setup a proportion.
0.72 km = 0.01 L
x km = 1 L
So, solve for x
x = 0.72 km x 1 L / 0.01 L = 72 km
Lillian was out at a restaurant for dinner when the bill came. she wanted to leave a tip of 17%. what number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
she should multiply the cost of the meal by 1.17
Step-by-step explanation:
because 1 is the cost of the meal and 0.17 is the tip percent (hope this helps)
What is the width of the prism?
2 ft
w
4 ft
Volume = 24 cubic feet
Answer:
3 ft
Step-by-step explanation:
(I assumed that this was a rectangular prism based on the dimensions given, but do correct me if I assumed incorrectly.)
The formula for finding the volume of a rectangular prism is: [tex]V=w*h*l[/tex]
In this case, we already know that the volume of the prism is 24, so we can plug 24 in for V:
[tex]24=w*h*l[/tex]
We also already know the height and the length because they gave it to us, so we can plug it in as follows:
[tex]24=w*2*4[/tex]
Then we can multiply 2 and 4 on the right side:
[tex]24=w*8[/tex]
Then, to get the w alone, we can divide by 8 on both sides:
[tex]3=w[/tex]
Now that gives us that the width of the rectangular prism is 3ft.
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-25=5/7x
5/7 is a fraction
Answer:
Hey! I have two answers for you. If x is next to the denominator of 7 then its −1/35 but if x is next to the whole fraction then its just -35
Step-by-step explanation:
which expression is equivalent to 2×-17?
is it
A) -17+2×
B) -2×+17
C) -2×-17
D) 17+2×
Answer:
B because based by what I'm seeing it is the same answer to the other equation. Which is -34.
On the way to visit my aunt, I left my house and drove 15 miles up the freeway before remembering I left my wallet at home. I immediately exited the freeway and headed back in the opposite direction toward my house. However, 3/4th of the way back, I ran out of gas and my car stopped on the side of the freeway. What is my displacement?
Answer:
3.75 miles
Step-by-step explanation:
Displacement is the shortest distance from the initial to the final position. So to calculate you do 15 - (3/4 of 15) = 3.75
Which interval on the graph could be described as linear constant?
Which polynomial is in standard form?
Step-by-step explanation:
Standard form is when the degree is in decreasing order
Second polynomial has the first term with highest exponent and second term with second highest exponent and so on
Which model shows 764 = 4?
Rafael has bought 24 pounds of dog food. he feeds his dog 3/8 pounds for each meal. for how many meals will the food last?