Answer:
An example below
Step-by-step explanation:
5(4a + 7(a + 2b))
First simply the inside bracket using distributive property:
7(a + 2b)
7(a) + 7(2b)
7a + 14b
5(4a + 7a + 14b)
5(11a + 14b)
Use distributive property again
5(11a) + 5(14b)
55a + 70b
Answer:
x= -2
Step-by-step explanation:
An example could be
10 ( x+2) + 3(x+4) = 6(x+3)
Distribute
10x+20 +3x+12 = 6x+18
Combine like terms
13x +32 = 6x+18
Subtract 6x from each side
13x-6x +32 = 6x-6x+18
7x +32 = 18
Subtract 32 from each side
7x +32-32 = 18-32
7x =-14
Divide by 7
7x/7 = -14/7
x = -2
Factor the following polynomial: 11x^2 + 22x
20 POINTS! FIRST CORRECT ANSWER WILL MAKE BRAINIEST!!!!!!!!!
Use Vieta's Theorem to solve the problems. The difference of the two solutions of x2+19x+c=0 is 15. Find c.
Answer:
c = 34
Step-by-step explanation:
x = [-19 +/- sqrt(19² - 4(1)(c)]/2
x = [-19 +/- sqrt(361 - 4c)]/2
The difference of the roots would be:
sqrt(361 - 4c) = 15
361 - 4c = 15²
361 - 225 = 4c
4c = 136
c = 34
Mr. Thomas cooked 36 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers. How many hamburgers and hot dogs were cooked?
(Use Substitution)
A. (24 hamburgers, 12 hot dogs)
B. (12 hamburgers, 24 hot dogs)
C. (6 hamburgers, 12 hot dogs)
D. (12 hamburgers, 6 hot dogs)
Answer:
b
Step-by-step explanation:
You would have twice as many hot dogs and 24 is two times 12 and if you add them you get 36.
A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units. How does the image triangle compare to the pre-image triangle?
The image triangle compare to the pre-image triangle will be similar due to dilation.
Step-by-step explanation:
As given in the question ,the sequence of transformation undergone by a triangle are :-
First, the triangle is dilated by a scale factor of 1/3 about the origin.Secondly, the triangle is reflected over the x-axis the triangle is translated left 3 units and up 2 units.
Due to the process of dilation, the two triangles will be similar. Another important factor is that the scale factor is less than one and is a reduction, thus, the image will be smaller than the pre-image but the triangle will be similar
The transformations mentioned in the above statement altered the position and scale of the triangle, but the angle measures of both the triangle remains the same.
Thus we can say that
The image triangle compare to the pre-image triangle will be similar due to dilation.
Answer:
Sample Response: Because there was a dilation, the two triangles will be similar. The scale factor was less than one, so the image will be smaller than the pre-image.
Step-by-step explanation:
edge ;)
Find the area of the isosceles triangle.
13 cm side
10 cm base
The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
An isosceles triangle is a triangle in which two sides are the same.
The given isosceles triangle has been drawn below,
The area of a triangle is given as (1/2) × base × height.
Height = √(13² - 5²) = 12
Area = (1/2) × 10 × 12 = 60 square cm.
Hence "The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm".
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To find the area of an isosceles triangle with given side lengths, use the Pythagorean theorem to find the height. Then, apply the formula for the area of a triangle using the base and the calculated height. The area of the given isosceles triangle is 60 square centimeters.
To find the area of an isosceles triangle with a base of 10 cm and two equal sides of 13 cm, we first need to determine the height of the triangle. We can use the Pythagorean theorem to find the height (h).
Since the base splits the isosceles triangle into two right triangles, each having a base of 5 cm (half of 10 cm) and a hypotenuse of 13 cm:
Using the Pythagorean theorem:
→ Hypotenuse (hyp) = 13 cm
→ Base/2 (base) = 5 cm
→ Height (h) = ?
→ hyp² = base² + h²
→ 13² = 5² + h²
→ 169 = 25 + h²
→ h² = 169 - 25
→ h² = 144
→ h = √144
→ h = 12 cm
Now that we know the height, we can use the formula for the area of a triangle:
→ Area = 1/2 × base × height
→ Area = 1/2 × 10 cm × 12 cm
→ Area = 5 × 12
→ Area = 60 square centimeters
Evaluate each finite series for the specified number of terms...
40+20+10+...; n=10
(Please show work)
Answer:
the sum of the first 10 terms is: 79.921875
Step-by-step explanation:
Notice that this is a geometric series, of the sequence that has "40" as the first term, and the following ones are obtained by multiplying by the common ratio "1/2".
So the common ratio [tex]r=\frac{1}{2}[/tex], and the first term [tex]a_1=40[/tex], then, recalling the formula for the partial sum of n terms of a geometric sequence:
[tex]S_n=\frac{a_1\,(1-r^n)}{1-r}[/tex]
we can find the sum of this sequence's first 10 terms (n=10):
[tex]S_n=\frac{a_1\,(1-r^n)}{1-r} \\S_{10}=\frac{40\,(1-(\frac{1}{2}) ^{10})}{1-\frac{1}{2} } \\S_{10}=79.921875[/tex]
The bacteria took 1 hour and 40 minutes to fill the initial
bottle. Explain how it only took 10 minutes to fill 3
additional empty bottles.
Answer: if i can be brainliest that would be great
Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.
Answer:
The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.
Step-by-step explanation:
Simplify and solve for x. 5(x+20)= 7x+30
Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
Answer:
x = 35
Step-by-step explanation:
5(x+20)= 7x+30
5x + 100 = 7x + 30
-30 -30
5x + 70 = 7x
-5x -5x
70 = 2x
/2 /2
35 = x
HELP! Is it A,B,C,or D. i really need help
ANSWER TO BE NAMED BRAINLIEST GET A THANK YOU AND BE FRIEND REQUESTED
George can run 10 laps around the track in 25 minutes. Write an equation to represent the relationship between x laps and y minutes
Question 4 options:
y = x + 5/2
y = 5/2x
y = x + 2/5
y = 2/5X
Answer: The answer is D: y=2/5x
Step-by-step explanation:
Let y represent the number of laps George runs, and x the number of minutes it takes him to run those laps. We know that it it takes George 25 minutes to run 10 laps; therefore, the number of laps George runs per minute is 10/25 which is equal to 2/5.
(Make sure you keep your promise(s) lol.)
What is the ratio of a:c?
Step-by-step explanation:
The answer is 2 : 3 because the value of a is 2 and c is 3
* WILL GIVE BRAINLIEST *
Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day. Jenna also started with 50 bacteria for her experiment, and after one day the number of bacteria was equal to 50 to the second power. How many bacteria did Caleb and Jenna each have in their experiments?
Answer:
100+50²=2600
Step-by-step explanation:
because 50x2=100 and 50² is 2500. Add those and you get 2600.
The number of bacteria Caleb and Jenna each have in their experiments is 2600.
Given that, Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
The number of bacteria doubled
= 2×25=50
The number of bacteria was equal to 50 to the second power
= 50²
= 2500
So total = 2500+100=2600
Therefore, the number of bacteria Caleb and Jenna each have in their experiments is 2600.
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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
y = 1/3x -3
Step-by-step explanation:
Find the area of these composite shapes
Answer:
37.5 cm 2
Step-by-step explanation:
The area of the first figure, the rectangle is 30cm2. The base which is 5cm, times the height which is 6cm equals 30cm2. The triangle's area is 7.5cm2 because the height which is 3cm times the base which is 5cm equals 15cm. Because it's a triangle tho, we have to find half of it which 7.5cm2. 30cm2+7.5cm2 equals 37.5cm2.
Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.
0.8d
d – 0.2
d – 0.2d
1 – 0.2d
The correct expression that represents a 20% discount off the original price d is 0.8d or d – 0.2d. The other options do not correctly represent a percentage discount from the original price.
Explanation:The expression that represents a 20% discount off the price of an item that originally cost d dollars would be calculated by first determining what 20% of the original price is, and then subtracting that value from the original price. So if the original price is d, then 20% of d is 0.2d. Subtracting that from d would give us the discounted price. Therefore, the correct expression that represents a 20% discount would be d – 0.2d, which simplifies to 0.8d.
d – 0.2 is not a percentage of d, but rather a fixed amount subtracted from d, and 1 – 0.2d is not meaningful in the context of pricing and discounts. So the expressions that represent a 20% discount off the price are:
Yes: 0.8dNo: d – 0.2Yes: d – 0.2dNo: 1 – 0.2dThe correct answers are the expressions: 0.8d and d – 0.2d.
2x - 3y - z = -17 6x + 5y + z = -3 2x + 2y + 2z = 8
Answer:
2x - 3y = Z
Step-by-step explanation:
5y + 2z = 2 + 12
You spin the spinner for candy land. There are 4 colors on the spinner that have equal likelihoods of occurring. These colors are red, blue, green, and yellow. What's the chance of spinning green? Record your answer as a simplified fraction using "/" as your fraction key.
Answer:
1/4
Step-by-step explanation:
If you have four colors on the spinner and you want to land on the green spot and there is 1/4 chances
Solve each equation. Be sure to check your solution.
0.3a = 51
Answer:
a = 170
Step-by-step explanation:
0.3a = 51
a = 51 : 0.3
a = 51 : 3/10
a = 51 x 10/3
a = 510/3
a = 170
0.3x170 =
= 3/10x170
= 510/10
= 51
Answer:
a= 170
Step-by-step explanation:
[tex]0.3a = 51 \: [/tex]
[tex]a = \frac{51}{0.3} = 170 \: [/tex]
To verify:
LHS = 0.3 a = 0.3× 170= 51 = RHS
For the first 3% of Brenda's salary, her employer matches 100% of her 401(k)
contributions, and from 3% to 12%, Brenda's employer matches 50% of her
401(k) contributions. Brenda's salary is $50,000, and last year, she
contributed $6000 to her 401(k) plan. What was her employer's contribution
to the 401(k)?
A. $3000
O
O
O
B. $4500
C. $3750
O
D. $6000
Answer:$3750
Step-by-step explanation:
Answer:
3650
Step-by-step explanation:
apex
admission to the fair is $5.25 for adults and $3.75 for children. A group spends $29.25 for admission. How many of each kind of ticket did they buy?
Answer:
Two adults and five children
Step-by-step explanation:
(3.75×5)+(5.25×2) = 29.25
18.75 + 10.5 = 29.25
(:
Factor completely please
Answer:
Step-by-step explanation:
hello :
1-x² = (1-x)(1+x) by identity : a²-b²=(a-b)(a+b)
What is the range of the data below?
60
70
80
90
100
oooo
Help!
Answer:
40
Step-by-step explanation:
100-60=40
Answer:
40
Step-by-step explanation:
Range is the difference between the highest value, and the lowest value
Some help please?
What are the factors of the product represented below?
Answer:
A. (x+4) (2x+3)
Step-by-step explanation:
Find the median of the data.
12, 33, 18, 28, 29, 12, 17, 4, 2
The median is
Answer:
The median is 29
Step-by-step explanation:
So you have to cross out 12 then 2 then 33 then 4 then 18 then 17 then 28 then 12 and the last number that's standing is 29.
What is the value of x?
Answer:
Step-by-step explanation:
since we can see that the lines are parallel
and we can see that the both are interior angles and when we sum up both angles we get 180
2x - 5 + 45 = 180
2x + 40 =180
2x = 180 - 40
2x =140
x = 140/2
x = 70
A company that makes mirrors sends their slightly flawed products to a discount store. This week, the company sent four mirrors to the discount store. Each mirror is approximately rectangular, with both lengths the same and both widths the same.
Mirror 1
length: 16 inches
width: 18 inches
diagonal: 25 inches
Mirror 2
length: 16 inches
width: 18 inches
diagonal: 26 inches
Mirror 3
length: 16 inches
width: 18 inches
diagonal: 23 feet
Mirror 4
length: 16 inches
width: 18 inches
diagonal: 24 inches
Based on these dimensions, which mirror is the closest to rectangular?
Mirror 1
Mirror 2
Mirror 3
Mirror 4
Answer:
mirror 4
Step-by-step explanation:i just did the quiz and got it right
Answer:D
Step-by-step explanation:
Which is the equation for the circle with center (6, 2) and radius 8?
Answer:
[tex]\displaystyle \boxed{ (x - 6)^2 + (y - 2)^2 = 64 }[/tex]
General Formulas and Concepts:
Precalculus
Circle Equation:
[tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
Center (6, 2)
h = 6k = 2r = 8
Step 2: Find Equation
[Circle Equation] Substitute in variables:∴ we have found the equation for the circle with given properties.
---
Topic: Precalculus
Unit: Conics
The equation of a circle is [tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex].
What is circle?A circle is a shape made up of all points in a plane that are at the same distance from a central point.
Equation of the circle [tex]\[{{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}\][/tex] where (h,k) is the coordination of the center and r is the radius
Which is the equation for the circle with center (6, 2) and radius 8?put the values of h, k and r in the equation of the circle
[tex]{{\left( x-6 \right)}^{2}}+{{\left( y-2 \right)}^{2}}={{8}^{2}}[/tex]
[tex]{{x}^{2}}+{{y}^{2}}+36+4-12x-4y=64[/tex]
[tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex]
therefore, the equation of the circle is[tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex].
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Which equation represents a circle with a center at (2,-8) and a radius of 11?
(x – 8)2 + (y + 2)2 = 11
(x - 2)2 + (y + 8)2 = 121
(x + 2)2 + (y - 3)2 = 11
(X + 8)2 + (y - 2)2 = 121
Answer:
2 Nd one
Step-by-step explanation:
Got it right
Answer:
B. (x – 2)² + (y + 8)² = 121
Step-by-step explanation:
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and pays $9 per yoga class. Which inequality represents the number of classes, c, that Natalie can take and stay within her budget?
A. 146 ≤ 9c + 10
B. 146 ≥ 9c + 10
C. 146 ≤ 10c + 9
D. 146 ≥ 10c + 9
if i can get brainliest that would be great
Answer: The answer is B. Because she can't go over 146. $10 is a one time fee and she pays $9 per classes.
Answer:
a
Step-by-step explanation:
you must subtract ten from each side to get 136 is less than or equal to 9c then divide by nine to get c=15.111111
The product of two numbers is 161. The difference between the two is 16. What are the two numbers?
Answer:
23 and 7
Step-by-step explanation:
Multiply 23 and 7 to get 161. Subtract 7 from 23 and get 16
Answer: 23 and 7
Step-by-step explanation: When you multiply 23 x 7, you will get the answer 161.