Step-by-step explanation:
Let the number of peas in Doris plate be x
now,
x = 40-13
or, x = 37
Therefore there are 37 peas in Dori's plate (would love if you could mark me the brainliest :))
find the length x of QR
Answer: 6
Step-by-step explanation:
The diagonal of a square bisects the angles.
What is the measure of angle x?
Answer:
45 degrees
Step-by-step explanation:
all angles of a square add up to 360
360 divided by 4 is 90
the diagonal bisects the angle in half so 90 divided by 2 is 45
Answer:
45°
Step-by-step explanation:
Each interior angles of a square is 90° since each side is perpendicular to its adjacent side.
Therefore, as the diagonal bisects the angle(s), this means it divides each 90° angle into 2 equal parts.
So 90 ÷ 2 = 45
The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.
Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.
[tex]7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y[/tex]
Substitute this into the second equation:
[tex]6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575[/tex]
Multiply both sides by 7
[tex]47y=74025[/tex]
Divide both sides by 47
[tex]y=1575[/tex]
This means...
[tex]7x=2(1575)\\7x=3150[/tex]
Divide both sides by 7
[tex]x=450[/tex]
One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.
[tex]450*12=5400[/tex]
12 chairs cost 5400.
3 times the sum of 7 and 8 is divided by 9
Answer:
5
Step-by-step explanation:
7+8=15
15 x 3 = 45
45/9=5
Safara uses these steps to partition segment in a ratio of 9:4.
1. Draw horizontal segment.
2. Count squares and place point to partition segment so that :=9:4.
3. Draw a vertical segment from point to where it intersects segment. Call this point.
Which is the best reason why Safara’s method works?
Pls answer in top right,left, btm right left
Lines can be divided into segments by using the line segment ratios
The reason why the Safara's method works is (d) Triangles ABE and ACD can be proved to be similar
How to determine the reason
The line ratio is given as
Ratio = 9 : 4
When the line is divided by the vertical and the horizontal lines, the segments form similar triangles ACD and ABE (see attachment)
Hence, the reason why the Safara's method works is that:
Triangles ABE and ACD can be proved to be similar
Read more about similar triangles at:
https://brainly.com/question/14285697
What is the slope of the line segment with endpoints (‒4, 3) and (6, ‒2)?
Answer:
m = -5 / 10 = -1 / 2 = -0.5
Step-by-step explanation:
find and simplify g(x)+g(x)=
Answer:
d
Step-by-step explanation:
g(x) is equal to 3x-1
therefore
(3x-1) + (3x-1)
3x= 6
6x - 2
does anyone have any idea how to do this?
Answer:
DE=BA
EF=BC
FD=CA
Step-by-step explanation:
brainliest appreciated
hope this helps
Sophia pays a 19.99 membership fee for an online music store.
a. if she also buys two songs from a new album at a price of $0.99 each, what is the total cost?
b. if Sophia purchases n songs for 0.99 each, write an expression for the total cost.
c. Sophia's friend has saved $118 but is not sure how many songs. Use the expression in part (b) to write an equation that can be used to determine how many songs Sophia's friend can buy.
d. Using the equation written in part (c), can Sophia's friend buy 101, 100, or 99 songs?
Answer:
(a) 2(0.99) + 19.99 = $21.97
(b) 0.99n + 19.99 = total cost
(c) 0.99n + 19.99 = 118
(d) 99
please answer this quick
just the option
Answer:
I'd say A. Because it's literally going the same way as the arrows shown below.
i put 12 gallons of gas in my car. each gallon was $5.15. there was also 9% tax. what was the total i paid?
julie's lamp is 8 inches shorter than her closet.her closet is 82 inches. tall how tall julie's lamp?
Answer:
74
Step-by-step explanation:
How do you know that △stu is similar to △pqr? complete the sentence to explain your answer.
Answer:
△stu could be similar to △pqr IF They have 2 angles that are the same (congruent) also known as the AA theorem. Another way would be if the triangle have a 2 side that are congruent and an angle that is congruent that is between both sides (the rule is known as the SAS theorem)! The last rule would be if all the side are congruent OR if they equal the same thing. For example if you got a triangle with 3,4,5 as sides and another one that has 6,8,10 as sides. 3/6 = 4/8 = 5/10 so that would be the SSS rule
Hope you found that helpful!!!
Step-by-step explanation:
ΔSTU ~ ΔPQR if and only if [tex]\frac{ST}{PQ} = \frac{TU}{QR} = \frac{SU}{PR}[/tex] and ∠S ≅∠P , ∠T≅∠Q and ∠U≅∠R.
What are similar triangles?
" Two triangles are said to be similar if the ratio of the corresponding sides of one triangle to the other triangle are in proportion and corresponding angles are congruent."
According to the question,
ΔSTU is similar to ΔPQR,
As per the definition of similar triangles we have,
Corresponding sides are in proportion.
ST ↔PQ
TU↔QR
SU↔PR
Therefore,
[tex]\frac{ST}{PQ} = \frac{TU}{QR} = \frac{SU}{PR}[/tex] are in proportion.
∠S↔∠P
∠T↔∠Q
∠U↔∠R
∠S ≅∠P ,
∠T≅∠Q
∠U≅∠R.
Hence, ΔSTU ~ ΔPQR if and only if [tex]\frac{ST}{PQ} = \frac{TU}{QR} = \frac{SU}{PR}[/tex] and ∠S ≅∠P , ∠T≅∠Q and ∠U≅∠R.
Learn more about similar triangle here
https://brainly.com/question/25882965
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what is the answer of
√54
Answer:
[tex]3\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{54}=\sqrt{9 \times 6} =\sqrt{9}\sqrt{6} =3\sqrt{6}[/tex]
ONLY ONE QUESTION! PLEASE ANSWER QUICKLY! WILL GIVE BRAINEST! ONLY ANSWER CORRECTLY! TYSM <333
Answer:
x = 1
Step-by-step explanation:
Axis of symmetry is a line which divides an object into two equal halves giving it exactly like a mirror shape.
Here a line of x = 1 can be drawn to separate the figure into equal halves.
Answer:
x = 1
Step-by-step explanation:
I think that it is 1.
ANYONE SMART AT MATH NEED HELP ON THIS
A bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 6/49, and Frank says that the probability will be 1/7. Who is correct? Explain and justify your answer by showing work.
---------------Is correct because___________________________
Answer:
It's been a hot minute since I have done these, but if I'm correct the answer is 13%
Step-by-step explanation:
6/7 is .86 or an 86% chance. Followed by 1/6 which is .16 or a 16% chance. .86 multiplied by .16 is .13 giving the sequence a 13% chance.
A number cube has 5 green sides and 1 orange side. (Input answers as fractions)
What is the probability of 4 green outcomes and 1 orange outcome when you roll the number cube 5 times?
The prοbability οf getting 4 green οutcοmes and 1 οrange οutcοme in 5 rοlls οf the number cube is 803/1000 οr 0.803 as a decimal.
What is Prοbability ?Prοbability can be defined as ratiο οf number οf favοurable οutcοmes and tοtal number οutcοmes.
The prοbability οf rοlling a green side is 5/6, and the prοbability οf rοlling an οrange side is 1/6.
Tο find the prοbability οf getting 4 green οutcοmes and 1 οrange οutcοme in 5 rοlls, we can use the binοmial prοbability fοrmula:
P(4 green, 1 οrange) = (5 chοοse 4) * [tex](1/6)^1 * (5/6)^4[/tex]
where (5 chοοse 4) represents the number οf ways tο chοοse 4 rοlls οut οf 5 tο be green.
(5 chοοse 4) = 5! / (4! * 1!) = 5
Substituting this value intο the fοrmula:
P(4 green, 1 οrange) [tex]= 5 * (1/6)^1 * (5/6)^4[/tex]
= 5 * (1/6) * (625/1296)
= 3125/3888
= 0.803
Therefοre, the prοbability οf getting 4 green οutcοmes and 1 οrange οutcοme in 5 rοlls οf the number cube is 803/1000 οr 0.803 as a decimal.
To learn more about Probability from given link.
brainly.com/question/30034780
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A volume of a cylinder is given by the expression 6n2 – 13n – 28. The area of the base is 3n + 4.
Which expression represents the height of the cylinder?
Answer: 2n-7
Step-by-step explanation:
Volume of cylinder = Base Area x Height
V=πr2h
Rearrange for h
Height = Volume/Base Area
h = V/πr2
h = (6n² -13n -28)/(3n+4)
See the long division of the polynomials below, the quotient is 2n-7 which represents the height of the cylinder
Find me the area (in m2,rounded to 1 decimal place )
Answer:
110.0m^2
Step-by-step explanation:
Area = a x b x π
a = 5m, b = 7m so
Area = 35pi which is 110.0m squared to one decimal place
Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : [tex]a_n=a_1(r)^n^-^1[/tex]
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula : [tex]a_n=a_1(r)^n^-^1[/tex]
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
What is the median of the data set: {24, 31, 12, 38, 12, 15}A)12B)19.5C)24D)23.5
Answer: B: 19.5
Step-by-step explanation:
This data set is an even data set meaning that you're going to have to add and divide, so you put your data set in ascending order (highest # to lowest #) so 12,12,15,24,31,38 its an even data set so you're going to put them in groups (remember your finding the median, the middle numbers) so you have 12,12 (one group) and 31,38 (another group) (basically make it even!!) so now you're left with the middle numbers, you have to add them and then divide them by 2 so (15+24) ÷2 and you get your answer !!
The value of Zlatans house has increased by 7%
His house is now valued at £749000
Work out the value of the house before the increase
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this Cube
Answer:
the volume of said cube would be 1 unit ³
Step-by-step explanation:
1x1x1=1
1) The tape diagram represents the ratio of the time you spend reading to the timeyour friend spends reading. You read for 8 hours. How many hours does yourfriend spend reading? *
Answer: You can't answer this without the graph
Step-by-step explanation:
There are only red and blue marbles in a box. The probability of choosing a red marble in
the box at random is one-fourth. If there are 150 blue marbles, how many marbles are in
the box?
Answer:
total marbles in the box is 600
10 hours 45 minutes + 50 minutes + 30 minutes what is the answer
Answer:
(10 hours 45 minutes) + (50 minutes) + (30 minutes) =
12 hours 5 minutes
Step-by-step explanation:
What is the product?
-1
со то
-5
-32
4
o
20
-36
32
-4
O
-20
Answer:
A
Step-by-step explanation:
Multiply the number by every element of the matrix. Answer: A
Two areas urgent fastttttttttttttttttttttttttttttt
Answer:
Rectangle: 112m
Trapezoid: 28m
Step-by-step explanation:
The area of the rectangle is 8*14, which is 112. The area of the trapezoid is ((base1 + base2)* height)/2. That is ((4+10)*4)/2, which is 28.
Answer:
28m² (trapezoid)112m² (rectangle)Step-by-step explanation:
you ask for the two separate areas
The area of a trapezoid is found using the formula, A = ½ (a + b) h, where 'a' and 'b' are the bases (parallel sides) and 'h' is the height
[(14 - 2 - 2 + 4) * (12 - 8)] : 2 =
(14 * 4) : 2 = 28m² (trapezoid)
The area of a rectangle is found by multiplying the length by the width
14 * 8 =
112m² (rectangle)
Brianna's teacher asks her if these two expressions 3x + 5 and 4x are equivalent.
Brianna says the expressions are equivalent because the value of each expression is 20 when x = 5.
Is Brianna correct? Explain your thinking.
Enter your response here
Answer:
No, because if x=? then itś, not a true equation, a true equation is when you have infinite solutions, in this case, if the problem is asking for 1 solution then yes, if it's asking for a true statement no.
Answer:
Yes, Brianna is correct because when you solve for x you get 5 and when you substitute you get 20.
Step-by-step explanation:
combine like terms 4x-3x=x
5=x
substitute x with 5
3(5)+5=4(5)
distribute
15+5=20
What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?
3x
3x2
6x2
6x4
Step-by-step explanation:
We're going to be factoring:
[tex]12 {x}^{4} + 27 {x}^{3} + 6 {x}^{2} [/tex]
We know that the GCF between 12, 27, and 6 is 3.
We also know that the GCF of x^4, x^3, and x^2 is x^2.
When factoring:
Use both of our GCFs, 3 and x^2 (3x^2).Divide our coefficients by the GCF.[tex]3{x}^{2} (4 {x}^{2} + 9x + 2)[/tex]
We know 3x^2 is the correct option since the polynomial is factored completely.
Answer:
[tex]3x^2[/tex]
Step-by-step explanation:
[tex]12x^4 + 27x^3 + 6x^2[/tex]
The coefficients of the variables are 12, 27 and 6. The greatest common factor (GCF) of these numbers is 3.
[tex]\implies 3(4x^4 +9x^3 + 2x^2)[/tex]
From inspection, the GCF of the variables is [tex]x^2[/tex]
[tex]\implies 3x^2(4x^2+9x + 2)[/tex]
Therefore, the GCF of the terms in the polynomial is [tex]3x^2[/tex]
