Which expression uses the distributive property to represent the sum of 72 + 24?
Answer:
a+b
Step-by-step explanation:
or any letter as long as it has the plus sign
The required expression for the given property is 8(9 + 3).
What is distributive property?The distributive property for the product of a sum of numbers to other numbers states that it is equivalent to the sum of individual products. It can be written as a(b + c) = ab + ac.
The given expression is 72 + 24
In distributive form it can be written as,
GCF of 72 and 24 is 8.
Then, 72 = 8 × 9 and 24 = 8 × 3
Now, the given expression can be rewritten as below,
8 × 9 + 8 × 3
Take 8 as common to get,
8(9 + 3)
Hence, the expression that represents the distributive property is 8(9 + 3).
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What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
given:
height[h]=8mm
radius [r]=5mm
Now,
Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³
C) 209 mm³ is a required answer.
A Taste Test ask people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results.
Answer: Yes, they are independent because P(Texas) ≈0.45 and P(Texas/Brand A)≈0.45
Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false
Answer:
true
Step-by-step explanation:
subject?
lauren bikes 1 1/3 mi in 1/10 hour. what is her rate of speed in miles per hour? *Will give brainliest*
Answer:
13 1/3 miles per hour
Step-by-step explanation:
Take the distance and divide by the time
1 1/3 ÷ 1/10
Change to an improper fraction
4/3 ÷ 1/10
Copy dot flip
4/3 * 10/1
40/3 miles per hour
changing to a mixed number
13 1/3 miles per hour
WILL GIVE BRAINLIST NO LINKS Ursula has 3 line segments that are the same size. What kind of triangle can she make?
A. equilateral triangle
B. isosceles triangle
C. scalene triangle
D. right triangle
Answer:
Equilateral triangle
Step-by-step explanation:
Equalateral triangles has 3 60 degre angles, and 3 congruent sides
Solve for the values of x and y.
Answer:
We can’t solve for x and y
Step-by-step explanation:
Answer:
Uhmm We can't do that
Step-by-step explanation:
What's the area of the composite figure #9??PLS HELP!!!!!!! I'll mark whoever get's it right brainliest!!!!!!!!!
Answer:
495 ft²
Step-by-step explanation:
To answer this, you need to subtract the area of the rhombus from the area of the square.
SQUARE:
A = bh
25x25=625
RHOMBUS:
A = bh
13 x 10 = 130
625 - 130 = 495
Find the volume of this irregular figure.
Answer:
35
Step-by-step explanation:
Area is multiplication! Volume is adding so just add!
What is the area of this parallelogram. 8 in
14 in
12 in
Answer:
What kind of "parallelogram" is that?
1344 in.²
Step-by-step explanation:
8 in. · 14 in. · 12 in.
1344 in.²
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides are congruent, but opposite sides are not.
B. All sides are congruent.
С. Opposite sides are parallel.
D. Consecutive sides have opposite reciprocal slopes.
Answer:
c
Step-by-step explanation:
Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter: 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?
Answer:
6 cm
Step-by-step explanation:
1 cm : 9 meters --> 1cm/9m
? cm : 54 meters --> ?cm/54m
[tex]\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?[/tex]
Answer:is 6cm
Step-by-step explanation:
To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 8 and a height of 4?
Answer:
16
Step-by-step explanation:
b x h is finding a square or rectangle, but since a triangle is half of a rectangle or square you can divide that by 2. So, 8 (b) x 4 (h) = 32, 32 / 2 = 16. Hope this helps! :D
A rectangular balcony is 14 feet long and 6 feet wide. What is its area?
Answer:
84 feet long
Step-by-step explanation:
solve the equation for y
1/2y - 21/4 = -35/4
Answer:
[tex]1/2y - 21/4 = -35/4[/tex]
[tex]1/2y = 21/4 -35/4[/tex]
[tex]1/2y = - 7/4[/tex]
[tex]y = - \frac{7}{2} [/tex]
2x + y = 3
x = 3y + 5
subsitution method
Step-by-step explanation:
2x+y=3
y=3-2x.....eqn (1)
x=3y+5.....eqn(2)
substituting the value of y from eqn 1
x=3(3-2x)+5
x=9-6x+5
x+6x=14
7x=14
x=14/7
x=2
substituting the value of x in eqn 1
y=3-2×2
y=3-4
y=-1
therefore,
x=2
y=-1
The system of equations below is consistents with infinity many solutions where a and b are constants.Find the values of a and b. 2x+y=6 ax+by=9
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
[tex]2\cdot x + y = 6[/tex] (1)
[tex]a\cdot x + b\cdot y = 9[/tex] (2)
The following condition must be observed:
[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)
After some quick operations, we find the following information:
[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
Find x ????????????????????????
Answer:
here
h=x,p=15,b=9
using pythagoras theorem
h^2=p^2+b^2
x^2=15^2+9^2
x^2=225+81
x^2=306
x=3 √34 is the answer
hey what's the answer ?
[tex] \sqrt{56 + ( - 7)} [/tex]
(╯︵╰)
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]
[tex] \sqrt{56 + ( - 7)} [/tex]
[tex] \sqrt{49} [/tex]
[tex] \sqrt{7²} [/tex]=±7
is your answer
The product of (7x+2) and 20-3x/4
Please help me on this problem
Answer:
1. (7x+2)
2. 2 - 3x/4
Each car is traveling at a constant speed. Find the number of miles each car travels in 1 hour at the given rate.
Answer:
50 miles
Step-by-step explanation:
I dont really have a step by step explanation, sorry
Which number is rational?
O √2
O π
O √10
O √16
PLEASE HELP!!
The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $3200, which was to be divided equally among the members going. Prior to the trip,10 members decided not to go. If the cost per person increased by $160, how many people went on the expedition?
Answer:
x = 25.
Step-by-step explanation:
Original cost per person:: 2000/x
Changed cost per person:: 2000/(x-5)
---------------------------
Equation:: changed - original = 20
2000/(x-5) - 2000/x = 20
2000x - 2000x + 2000*5 = 20x(x-5)
10000 = 20x^2-100
----
500 = x^2 - 5x
------------------
x^2 - 5x - 500 = 0
(x+20)*(x-25) = 0
-----
Only positive root makes sense ====> x = 25.
HELP DUE IN 15 MINS!
x =??
Answer:
x = 32
Step-by-step explanation:
Using the Secant and Tangent Intersection Theorem we can say;
(x + 18) (18) = 30²
18x + 324 = 900
18x = 576
x = 32
Hope this helps!
how long does it take to go 80 miles if u are going 80 miles perhour
Answer:
1 hour
Step-by-step explanation:
What is the perimeter of this red
polygon?
27 in
22 in
22 in
98 in
[ ? ] in
Answer:
Entire perimeter = 169in
Step-by-step explanation:
add all the inches up
The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.
Given the polygon with the measure of its exterior :
22 inches 98 inches 22 inches 27 inchesThe perimeter of the polygon is the sum of the exterior sides of the figure given :
98 + 22 + 22 + 27 = 169 inchesTherefore, the perimeter of the polygon is 169 inches .
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Please help! Will give branliest for correct answer !
God Bless uu!!
Answer:
solution given:
Area of triangle ABC=½b×h=½×18×21=189km²
Area of square DEFG=l²=9²=81km²
Area of rectangle DHIJ=l×b=4×13=52km²
Total area =189+81+52=322 square kilometers.
Answer:
[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]
Step-by-step explanation:
refer the attachment
we have a triangle,a rectangle and a square
in order to figure out the area of the total figure we need to figure out the area the attached figure first
Triangle:the triangle has a base of 18 km and a height of 13+6+2=21km
thus,
the area of the triangle is
[tex] \displaystyle \frac{1}{2} \times 18 km\times 21km[/tex]
reduce fraction:
[tex] \displaystyle 9 km\times 21km[/tex]
simplify multiplication:
[tex] \displaystyle 189 km ^{2} [/tex]
Rectangle:the rectangle has a length of 13km and a width of 4km
thus,
the area of the rectangle is
[tex] \displaystyle 13km \times 4km[/tex]
simplify multiplication:
[tex] \displaystyle {52km}^{2} [/tex]
Square:the length of every sides of the square is 9km
thus,
the area of the square is
[tex] \displaystyle {(9km)}^{2} [/tex]
simplify square:
[tex] \displaystyle {81km}^{2} [/tex]
Area-total:[tex] \rm\displaystyle A _{ \text{total}} = A_{ \text{triangle}} + A_{ \text{rectangle}} + A_{ \text{square}}[/tex]
substitute:
[tex] \rm\displaystyle A _{ \text{total}} = 189 {km}^{2} + 52 {km}^{2} + 81 {km}^{2} [/tex]
simplify addition:
[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]
Find the GCF of the terms for each polynomial, and factor
12n^(3) - 8n
Answer:
4n
Step-by-step explanation:
I don't know if I did it right but I hope I did sorry if wrong
6 = 3s
s=?
What does s=?
Answer:
s=2
Step-by-step explanation:
6=3s
6/3=3s/3 divide both sides by 3
2=s
3. A veterinarian recorded the weights of animals in a histogram.
Animal Weights
peech
Number of
Animals
Weight (pounds)
on
ng
Which question can be answered using the information from the histogram?
***Be careful with this question. There is only one correct answer. Choose A, B, C, or D.
Pay attention to the intervals.
a. How many animals weigh 4.9 pounds?
b. How many animals weigh between 5 and 10 pounds?
C. How many animals weigh less than 8 pounds?
d. How many animals weigh at least 15 pounds?
mature
Answer:
d. How many animals weigh at least 15 pounds?
Step-by-step explanation:
The histogram displayed holds information about the number of animals who have a certain certain weight interval. Hence, answering questions about a point weight such as the number of animals whose weight is 4.9. This is a point value and such information given by the histogram.
Similarly, number of animals for intervals which aren't Cleary and explicly stated on the horizontal x - axis of the histogram cannot be determined by the histogram such as ; number of animals weighing less than 8 pounds and number of animals weighing between 5 and 10 pounds.
However, the number of animals weight less Than 15 pounds can be obtained from the histogram. This includes the sum give by the first, second and third bar. This is about (8 + 17 + 10) = 35 animals.