Explanation:
Each of the five bags contain x pencils, where x is a placeholder for a positive whole number.
This means Tyler starts off with 5x pencils
He then adds 3 pencils per bag, so 3*5 = 15 extra pencils, to get the expression 5x+15. We're told the new grand total is 20 pencils.
Therefore, the equation for this story problem is 5x+15 = 20
The reason for the multiplication is because we have the same number of pencils per bag. So we're adding multiple groups together, or using multiplication to do a shortcut.
eg: instead of 5+5+5 = 15 we can do 5*3 = 15
Which is the quotient of 5 ÷ 1/4 ? Use the model to help.
A. 1/20 B.5/4 C. 4/5 D. 20
Answer: 20
Step-by-step explanation:
5 divided by 0.25 or 1/4 is 20
what is the area of this shape? the answer isn't 92 cm squared
Answer:
80cm^2
Explanation:
Okay to do this, it's often better to find the area of each shape separately.
Let's start with the top rectangle:
4cm*7cm = 28cm^2
Bottom rectangle:
to find the length of it, we just add 3cm and 7cm which = 10cm
so:
10cm*4cm = 40cm^2
And finally the triangle:
to find the bottom side: 13cm - 7cm - 3cm = 3cm
to find the height: 4cm + 4cm = 8cm
so:
8cm*3cm*/2 = 24cm/2
= 12cm^2
Now we add them all up:
28 + 40 + 12 = 80cm^2
Answer:
Corrected Question:[ Refer to the above attachment ]
Solution:In the given figure there are two shapes:
A RectangleA TriangleFirst, we have to find the area of Rectangle ABGF & DCGE. After that, area of triangle CHB.
1) Area of Rectangle ABGF:
As, we know:
Formula for Area :-
★ Length × Breadth ★
where,
Length = FA = 4cm Breadth = GF = 10cm ( 7+3 )➝ 4 cm × 10 cm
➝ 40 cm²
Hence, the area of Rectangle ABGF is 40cm².
2) Area of Rectangle DCGE:
As, we know:
Formula for Area :-
★ Length × Breadth ★
where,
Length = ED = 4cm Breadth = DC = 7cm➝ 4 cm × 7 cm
➝ 28 cm²
Hence, the area of Rectangle DCGE is 28cm².
3) Area of Triangle CHB:
As, we know:
Formula for Area :-
★ ½ ( base × height ) ★
where,
Base = 3cm Height = 8cm➝ ½ ( 3cm × 8cm )
➝ ½ ( 24cm )
➝ ½ × 24cm
➝ 12 cm²
Hence the Area of Triangle CHB is 12cm².
Now, Area of Given Shape is:
➝ 40cm² + 28cm² + 12cm²
➝ 52cm² + 28cm²
➝ 80cm²
Thus, the area of the given shape is 80cm².
____________________Additional Information:[ Formula's for Area ]
★ Square = (Side)²
★ Rectangle = Length × Breadth
★ Triangle = ½bh
★ Circle = πr²
Question 2 of 11, Step 1 of 1
what is the other number?
The product of two numbers is 20. If one of the numbers is 4/7
Answer:
35
Step-by-step explanation:
Let other number be X
According to the question
4 × X= 20
7
X=20×7
4
X=35
Of the 175 students in the auditorium, 140
were wearing headphones. What percent
were wearing headphones? PLS HELP ME 30 POINTS with explanation
Answer: 234
Step-by-step explanation: by getting the 175 and multiple them to get 234 if you percent the area of 140 to put together.
Answer:
Step-by-step explanation:
[tex]Percentage=\dfrac{number \ of \ students \ wearing \ headphones}{Total \ students}*100\\\\\\=\dfrac{140}{175}*100\\\\\\= \dfrac{140}{7}*4\\\\\\=20*4\\\\[/tex]
= 80%
need help with math problem please
Answer:
for inverse: f^-1(x)=2x-14
for derivative: f^-1(x)=1/2
Step-by-step explanation:
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 The truck is transporting 60 large boxes and 55 small boxes. If the truck is carrying a total of 4050 pounds in boxes, how much does each type of box weigh?
Step-by-step explanation:
x = weight of a small box
y = weight of a large box
x + y = 70 pounds
55x + 60y = 4050 pounds
from the first equation we get
x = 70 - y
and we can use that identity in the second equation :
55(70 - y) + 60y = 4050
3,850 - 55y + 60y = 4050
5y = 200
y = 40 pounds
x = 70 - y = 70 - 40 = 30 pounds
so, a small box weighs 30 pounds, and a large box weighs 40 pounds.
Which expression is a quadratic binomial?
2x4+9x2−6x−1
3x4−2x
7x²
x2−9x
Answer:
x2-9x is a quadratic binomial. :)
A restaurant will select 1 card from a bowl to win a free lunch. Jimmy puts 10 cards in the bowl. The bowl has a total of 150 cards in it when they do the drawing. What are the odds of Jimmy winning a free lunch?
Out of 150 cards, 10 of those are Jimmy's -> The probability of Jimmy winning a free lunch is 10 : 150 = 10/150 (simplified as 1/15)
The figure below is made up of a regular polygon surrounded by identical triangles. Find the area of the figure.
Answer:
Total area = 937.75
Step-by-step explanation:
Area of triangles = ((b*h)/2) * 5
= (12*23/2) * 5
= 138 * 5
Area of triangles = 690
Area of pentagon = a² * √(25 + 10√5) / 4
= 12^2 * √(25 + 10√5) / 4
Area of pentagon = 247.75
Total area = Area of triangles + Area of pentagon
Total area = 937.75
8 7/10 - 3 4/10
pls help im so behind
Answer:
8 7/10 - 3 4/10 = 5.3, 5 3/10, or 53/10
5.3, 5 3/10, and 53/10 all equals to 8 7/10 - 3 4/10 :)
Step-by-step explanation:
Answer:
thats wrong bother dont lisen
Step-by-step explanation:
A teacher asks four students the question, “Can a triangle have more than one right angle, and why?” The table lists the students’ responses.
Considering the sum of the internal angles of a triangle, it is found that the correct student is Paige.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º, and none of the angles can be zero.
Hence, a triangle can have at most one right angle(angle of 90º), and researching the question on the internet, the student who states this is Paige.
More can be learned about the sum of the internal angles of a triangle at https://brainly.com/question/25215131
PLEASE ANSWER FAST
What is the GPE of a 10 kg howler monkey sitting on a branch 20 m above the ground?
A. 4000 J
B. 1960 J
C. 0 J
D. 200 J
Answer:
The answer is letter D. 200 J
You estimate that there are 52 marbles in a jar. The actual amount is 88 marbles. Find the percent error. Round to the nearest
tenth of a percent if necessary.
Answer:
We know that there are total 12 marbles are not there because 48-36=12. Now, I take:
12÷48=0.25 or 25%. As a result, the percent error is 25%. Hope it helps!
Step-by-step explanation:
The percentage error is 40.9%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the estimated value is 52 and the actual value is 88.
The percent error is given
error% = (|estimated - actual|)/actual × 100 %
error% = (|52 - 88|)/88 × 100 %
error% = 40.9%
Hence, the percentage error is 40.9%.
Learn more on percentages here:
https://brainly.com/question/14979505
#SPJ2
What is the mean of the data set? O 5 6 07 O 8 errrrrrrrrggggg please I will give you brainliest
Answer: 7
Step-by-step explanation:
The sum of the values is 63, and there are 9 values. Since mean=(sum of values)/(number of values), we get 63/9 = 7.
Given quadrilateral ABCD with vertices A (1,1), B (5,2), C (8, -6), and D (0, -8). Which statements are correct
A quadrilateral is a shape with four vertices
The true statement about the quadrilateral ABCD is that the quadrilateral has unequal lengths
How to determine the true statement?The coordinates of the vertices are given as:
A = (1,1)
B = (5,2)
C = (8, -6)
D = (0, -8)
Next, we calculate the distance between the vertices using the following distance formula
[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]AB=\sqrt{(1 -5)^2 + (1 -2)^2} = \sqrt{17}[/tex]
[tex]BC=\sqrt{(5 - 8)^2 + (2 +6)^2} = \sqrt{73}[/tex]
[tex]CD=\sqrt{(8 - 0)^2 + (-6 + 8)^2} = \sqrt{68}[/tex]
[tex]DA=\sqrt{(0 - 1)^2 + (-8 - 1)^2} = \sqrt{82}[/tex]
From the above computation, we have the lengths to be unequal
Hence, the true statement about the quadrilateral ABCD is that it has unequal lengths
Read more about quadrilaterals at:
https://brainly.com/question/16691874
15. Kimberly wants to paint the back wall of her living room a different color to make a statement. She
only has one gallon of pain in the color she wants that covers 280 ft of wall. If the wall is 12 ft by
22 ft, does she have enough paint? (3 pts)
Answer:
yes, kimberly would be able to paint 16 ft more after she is done.
Step-by-step explanation:
12×22 =264ft
280-264=16
SOMEONE HELP ME WITH THIS!! PLEQSE I BEG PLEASE
Step-by-step explanation:
1099cm might be lol I am poor in math
Question 8 of 10
Find the solution(s) to 2x2 - 7x+3 = 0. Check all that apply.
A. X= -3
B. x = 2
c. x=-1
OD. X = 3
E. x= }
SUBMIT
Answer:
A. 42
B. -3
C. 12
D. 0
D is the answer
Step-by-step explanation:
2x² - 7x + 3
A.
2(-3)² - 7(-3) + 3
18 + 21 + 3 = 42
B.
2(2)² - 7(2) + 3
8 - 14 + 3 = -3
C.
2(-1)² - 7(-1) + 3
2 + 7 + 3 = 12
D.
2(3)² - 7(3) + 3
18 - 21 + 3 = 0
I'm not sure what E is, sorry about that. I hope this helped!
A rectangle has vertices (8,6), (4, 6),
(8,-4), and (4,-4). What are the
coordinates after dilating from the origin
by a scale factor of 1.5?
Answer:
the dilated coordinates are (12, 9), (6, 9), (12, -6), (6, -6)
Step-by-step explanation:
The dilation factor multiplies each coordinate value when the center is the origin.
__
(8, 6) ⇒ 1.5(8, 6) = (12, 9)
(4, 6) ⇒ 1.5(4, 6) = (6, 9)
(8, -4) ⇒ 1.5(8, -4) = (12, -6)
(4, -4) ⇒ 1.5(4, -4) = (6, -6)
Jacquie bought 12 pens for her students for $10.56. If she wants to buy another 18 pens, how much will they cost?
Answer:
$15.84
Step-by-step explanation:
We can write a proportion to solve
12 pens 18 pens
------------ = -------------
10.56 cost
Using cross products
12 * cost = 10.56 * 18
12 cost = 190.08
Divide each side by 12
cost = 190.08/12
cost =15.84
Answer:
$15.84Step-by-step explanation:
Writing a proportion.12 pens 18 pens
------------ = -------------
10.56 cost
Cross products
12 * cost = 10.56 * 18
12 cost = 190.08
( ÷ ) each side by 12
cost = 190.08/12
cost = 15.84
#BrainliestBunchThe table of values represents a polynomial function f(x)
x f(x)
4 358
5 690
6 1178
7 1852
8 2742
9 3878
How much greater is the average rate of change over the interval [6,8] than the interval [5,7]?
============================================================
Explanation:
The average rate of change is the same as the slope of the line through the endpoints mentioned.
The interval [6, 8] means that we're talking about [tex]6 \le x \le 8[/tex]
When x = 6, we have y = f(x) = 1178When x = 8, we have y = f(x) = 2742So we're tasked to find the slope of the line through (6,1178) and (8,2742)
We'll use the aptly named slope formula.
[tex](x_1,y_1) = (6,1178) \text{ and } (x_2,y_2) = (8,2742)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2742 - 1178}{8 - 6}\\\\m = \frac{1564}{2}\\\\m = 782\\\\[/tex]
The slope through those two endpoints is 782, which is the average rate of change on the interval [6, 8].
------------------
For the interval [5,7] we have [tex]5 \le x \le 7[/tex]
According to the function table,
When x = 5, y = 690When x = 7, y = 1852Like before, use the slope formula to find the slope through (5,690) and (7,1182)
[tex](x_1,y_1) = (5,690) \text{ and } (x_2,y_2) = (7,1182)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1182 - 690}{7 - 5}\\\\m = \frac{492}{2}\\\\m = 246\\\\[/tex]
This is the average rate of change on the interval [5,7].
------------------
The last step is to subtract the slopes:
782 - 246 = 536 which is the final answer
> Pip rolls a fair dice 150 times.
How many times would Pip expect to roll a number greater
than 2?
Answer:
the answer is 100
Step-by-step explanation:
the number greater than 2 : 3,4,5,6
so 4/6 x 150 = 2/3 x 150 = 100
WORKS
8 A luxury mansion has a semicircular stencilled concrete drive that is 3.0 m wide. The inside radius is 17.0 m
and the outside radius is 20.0 m. How many metres of edge board would be required to form the drive?
Considering the circumference of the circles, it is found that 18.9 metres of edge board would be required to form the drive.
What is the circumference of a circle?The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex]
In this problem, considering that the outside radius is 20.0 m and the inside radius if of 17.0 m, the drive has a radius of r = 3 m, hence:
[tex]C = 2\pi r[/tex]
[tex]C = 2\pi \times 3[/tex]
[tex]C = 6\pi[/tex]
[tex]C = 18.9[/tex]
18.9 metres of edge board would be required to form the drive.
More can be learned about the circumference of a circle at https://brainly.com/question/25846963
How many years will it take Mr. Arnold to make $600 in interest if he invested $729 at a 5.8% interest rate? Round to the nearest whole year.
Answer:
15 years
Step-by-step explanation:
4. Is the following relation a function? (2 points)
X Y
-1 -2
2 3
3 1
6 -2
O Yes
O No
A function is a relation in which there is only one y-value for every x-value.
For every 1 input, we only get 1 output.
AnswerEvery value of x produces a single value of y.
Therefore, this relation is a function.
There are 300 students in the 6th grade. The ratio of students who play an instrument to all students is 2:5. Hou
many people in 6th grade play an instrument?
Answer:
120 students
Step-by-step explanation:
By setting up the equation 2/5=x/300, we can cross cancel, changing the equation into 5x=600, and by dividing both sides by 5, the 5 in 5x cancels out and 600 divided by 5 is 120.
Please answer the question in the picture
Will mark brainliest
Answer:
d the last one
Step-by-step explanation:
What is the median of this data set? {29, 22, 23, 31, 29, 29, 22, 23} Enter your answer in the box.
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Answer:
The answer is 26 hope this helps:DD
Step-by-step explanation:
Answer for: K12 5.03 Quiz: Median
A large random sample was taken of body temperatures of women at a university. The data from the sample were normally distributed with a mean body temperature of
98.52°F and a standard deviation of 0.727°F. Based on this sample, which percentage is the best estimate of the proportion of all women at this university who have a body
temperature more than 2 standard deviations above the mean?
About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.
What is the empirical rule?Empirical rule states that for a normal distribution, about 68% of the values fall within one standard deviation from the mean, 95% of the values fall within two standard deviation from the mean and 99.7% of the values fall within three standard deviation from the mean.
Amount that have more than 2 standard deviations above the mean = (100% - 95%) / 2 = 2.5%
About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.
Find out more on empirical rule at: https://brainly.com/question/10093236
Help on this math question it'd the last one : ))
Answer:
70 [tex]ft^{3}[/tex]
Step-by-step explanation:
B = l x w
B = 2.5 x 7
B = 17.5
V = Bh
V = 17.5(4)
V = 70
units are cubed for volume
Its easier to multiply the 3 number and get the answer instead of doing multiple steps