Answer:
Solution set: (3, 4) and (4, 3)
Step-by-step explanation:
Please, to indicate exponentiation, use " ^ ": a^2 and b^2
Then you have:
a + b = 7 and a^2 + b^2 = 25.
Let's eliminate b: Solve a + b = 7 for b, obtaining b = 7 - a.
Then we have:
a^2 + (7 - a)^2 = 25, or
a^2 + 49 - 14a + a^2 - 25 = 0, or
2a^2 - 14a + 24 = 0, or
a^2 - 7a + 12 = 0, which factors as follows:
(a - 3)(a - 4) = 0
This results in a = 3 and a = 4, in which case the equation a + b = 7 tells us that the b values are 4 and 3 respectively.
Solution set: (3, 4) and (4, 3)
Cindy went to the salon to get highlights and a haircut. Her total cost was $95. Cindy decided to tip her stylist 22% because she loved her hair so much. How much was the tip?
What is the following product?
Answer & Step-by-step explanation:
(5√2 - 4√3)(5√2 - 4√3)
We can rewrite this equation into a more simpler form.
(5√2 - 4√3)²
Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.
When you multiply a radical by itself, then the base number will be by itself as the product.
So......
(5)² = 25
(4)² = 16
(√2)² = 2
(√3)² = 3
So, now the equation looks like this..
(25 * 2) + (16 * 3)
Multiply the terms.
50 + 48
Add the numbers.
50 + 48 = 98
So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.
WILL GIVE BRAINLY 3RD GRADE
What is 1 + 2 + 3 times 78
Answer:
468
Step-by-step explanation:
Answer:
237
Step-by-step explanation:
This is written as 1+2+(3x78)
=3+234
=237
The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?
Answer:
explanation below
Step-by-step explanation:
(n - 2) * 180 = 8100
n - 2 = 8100/180
n - 2 = 45
n = 45 + 2
n = 47 sides <---answer
happy to help ya :)
30% of consumers prefer to purchase elecktronicks online you randomly select 8 consumers find the probability that the number of consumers who prefer to purchase electronics online is a exactly 5 be more than 5 &c at most 5
Answer:
see below
Step-by-step explanation:
Take the number of people surveyed and multiply by 30 %
8 * 30%
Change to decimal form
8 * .3
2.4
About 2.4 will purchase online
Which of the following is a perfect square? 221 196 224 176 Need the answer as quick as possible
Answer:
196
Step-by-step explanation:
196 is the perfect square number, because its square root is 14.
[tex] \sqrt{196} = 14[/tex]
Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden, diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °
Answer:
A= 61
B=119
Step by step:
a; interior angle
180-(27+92)
=180(119)
=61
b; exterior angle
180-61
=119
Answer: 61 and 119
Step-by-step explanation:
Here is a list of ingredients that
serves 4 people:
Bacon 50 g
Minced beef 450 g
Chopped tomatoes 400 g
Button mushrooms 100 g
Beef stock 125 ml
Marco is making a meal for 14 people using these ingredients.
Work out the number of grams of minced beef he needs.
Answer: 1575 grams or 1.575 kgs
Step-by-step explanation:
For 4 people = 450 g of minced beef
For 14 people,
(14 * 450) / 4 = 1575 gms
21 ≤ 3 + 9x please help me solve the inequality
Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
To learn more about inequality visit:
https://brainly.com/question/25944814
#SPJ6
What’s the answers please?
Answer:
1) 752.9 m² 2) 2.68 ft
Step-by-step explanation:
1. 3.28 ft = 1 meter
90/3.28 = 27.44
27.44 x 27.44 = 752.9 m²
2. tan 15 = 10/x or x = 10/tan 15 = 2.68 ft
URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°
Answer:
1. A
2. B
3. B
Step-by-step explanation:
1. 180+57-94= 29
2. 4x + 7 + 97 + 180 - 17x - 13 = 180
-13x = -91
x = 7
3. 180 - 64-38 = 78
180-78 =. 102
Answer:
A) 29°
B) 7°
B) 102°
Step-by-step explanation:
1. ------------------------
sum of angles= 180°missing angle= 180°-57°-94°= 29°2. ------------------------
4x+7°+97°=17x+13°13x=91°x=7°B) 7°3. ------------------------
EGH=GEH+EFGEGH=64°+38°=102°B) 102°Erica and John are making brackets.Erica makes 25 bracelets John makes m More bracelets than Erica which expression represents the total number of bracelets Erica and John made
Answer: 50 + m
Step-by-step explanation:
From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:
Erica bracelet = 25
John bracelet = 25 + m
Total bracelet = 25 + 25 + m
= 50 + m
The expression that represents the total number of bracelets Erica and John made is 50 + m
Can someone please help me this is my third time posting!!!!!
This is a example since there is no topic:
Explanatory variable: Could be found on the x axis
Response variable: Could be found on the y axis
Four things need to talk about when you describe a scatter plot:
D. Direction
O. Outliers
F. Form
S. Strength
Example: The relationship between this graph is strong, positive and linear relationship. There does not appear not be outlines.
How to know if its positive: As the x axis increases so does y axis increases too.
How to know if the chart is linear:
Because it describe the scatter plot. DOFS.
Tell me if you need more help with a pacific thing.
Hope this helps.
Someone help meeee lollll
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:
[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
[tex]-7x^2-2x+5[/tex]
The next one, after distributing the negative into the parenthesis:
[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):
[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to
[tex]7x^2+2x-5[/tex]
Now for the last one:
[tex]12x^2+6x-5-5x^2-8x+12[/tex] and
[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to
[tex]7x^2-2x+7[/tex]
Use the synthetic division shown to help factor the polynomial and solve the equation.
What are the solutions of the equation?
1, 4, and –5
1, –4, and 5
–1, –7, and 3
–1, 5, and 9
Answer:
1. x = -5 and x = 1
2. x = 5 and x = -1
3. no integral solutions
4. no integral solutions
Step-by-step explanation:
Answer:
1, 4, and –5
Step-by-step explanation:
on edge
I NEEED HEEELLLPP
Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?
T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°
Answer:
c) T(−1, 3) ° Rotation,180°
Step-by-step explanation:
Explanation:-
First we will apply transformation is
Rotation of 180° then we will apply transformation is changes
(x,y) to (-x ,-y)
a)
Given vertex T( 2 ,2 )
T( 2 ,2 )→ T( -2 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)
The new vertex is T¹ ( -3 ,1)
b)
Given vertex U( 4 ,2 )
U( 4 ,2 )→ U( -4 ,-2)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)
The new vertex is U¹ ( -5 ,1)
c)
Given vertex R( 3 ,5 )
R( 3 ,5 )→ R( -3,-5)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)
The new vertex is R¹ ( -4 ,-2)
d)
Given vertex S( 1 ,3 )
S( 1 ,3 )→ S( -1 ,-3)
Next we will apply rule
Horizontal translation left '1' units and Vertical translation up 'd' units
S( -1,-3) → S¹ ( -1 -1 ,-3 +3)
The new vertex is S¹ ( -2,0)
b.
C.
Which triangles are similar?
12
16
6
ob
Answer:
a, b, and d.
Step-by-step explanation:
They have a common angle = 25 deg.
The pair of sides created that common angle share the same ratio = 1/2
(6/12 = 3/6 = 8/16 = 1/2)
Hope this helps!
Please help me with my question!!
Answer:
B
Step-by-step explanation:
To find the answer we add to the fractions
5/6 + 2/3 = 5/6 + 4/6 = 9/6 = 3/2 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
5/6 + 2/3
Get a common denominator
5/6 + 2/3 *2/2
5/6 + 4/6
9/6
Rewriting as a mixed number
1 3/6
1 1/2
Real life Applications of Polynomials?
Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.
-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )
What is the slope of a line that passes through (-14,-13) and (7,0)?
A. 21/13
B. 13/21
C. -13/21
D. -21/13
Answer:
The answer is B.
Step-by-step explanation:
You have to apply gradient formula by using coordinates :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) be (-14,-13),
L3t (x2,y2) be (7,0),
[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]
[tex]m = \frac{13}{21} [/tex]
HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
Answer:
2y( 3x-1)(3x+1)
Step-by-step explanation:
18x^2y-2y
Factor out the greatest common factor 2y
2y( 9x^2 -1)
The term in the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
2y( 3x-1)(3x+1)
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds
Answer:
2 and three-fourthsStep-by-step explanation:
Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;
[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]
2 and three-fourth therefore gives the required expression
Answer:
2 and three-fourths
Step-by-step explanation:
Given the expression , the equivalent expression can be gotten as shown;
Step-by-step explanation:
Yun wants to build a one-sample z interval with 82%, percent confidence to estimate what proportion of users will click an advertisement that appears on his website. He takes a random sample of 200 users and finds that 34 of them clicked the advertisement.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 34
p = 34/200 = 0.17
q = 1 - 0.17 = 0.83
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.82 = 0.18
α/2 = 0.18/2 = 0.09
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.09 = 0.91
The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35
Therefore, the 82% confidence interval is
0.17 ± 1.35√(0.17)(0.83)/200
Confidence interval is 0.17 ± 0.036
Answer:
z ∗ = 1.341
Step-by-step explanation:
Its right on khan academy
Can (somebody)help me!!!
Answer:
20 meters
Step-by-step explanation:
The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!
I need help please I need to get the right answer
Answer:
33
Step-by-step explanation:
djjsjskskskakakkaka
y=-5y=−5 Evaluate this expression: 3y+6=3y+6=
Answer: 3y+6
Step-by-step explanation:
As an estimation 5 miles is 8km. convert 12.5 miles to km
Answer:
5 x 2.5 = 12.5
8 x 2.5 = 20
answer: 28
Answer:5 x 2.5 = 12.5
8 x 2.5 = 20
Step-by-step explanation:mark me as brainest plsssssssssssssssssss
Round 76m to 1 significant figure
share £40 in the ratio 1:4 between Tim and Sam
Answer:
[tex]\£8:\£32[/tex]
Step-by-step explanation:
[tex]\frac{40}{1+4}[/tex]
[tex]\frac{40}{5}[/tex]
[tex]=8[/tex]
[tex]1:4[/tex]
[tex]1 \times 8:4 \times 8[/tex]
[tex]8:32[/tex]
Answer:
Tim gets £8
Sam gets £32
Step-by-step explanation:
Ratio is 1:4
So, Total parts are 1+4 = 5
Dividing it by total parts
= [tex]\frac{40}{5}[/tex]
= £ 8
So, Tim gets £8
But,
Sam gets 4(£8)
= Sam gets £32
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. Including herself, there are 12 people in the club. A package of cheese contains 16 ounces and costs $3.99. A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Let represent number of people in the club, represent the ounces of fruit punch, represent the ounces of cheese, and represent Priya's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.
Answer:
i) Number of people in club = 12
ii) 96 ounces of fruit punch for 12people
iii) 24 ounces of cheese for 12 people
iv) Priya's budget for poetry club meeting in dollars = $7.87
Step-by-step explanation:
We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.
Number of people in the club = 12
8 ounces of fruit punch per person
For 12 people = 12×8 = 96 ounces of fruit punch
2 ounces of cheese per person
For 12 people = 12×2 = 24 ounces of cheese
A package of cheese = 16 ounces
The costs for 1package = $3.99
The costs for 16 ounces of cheese = $3.99
The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985
The cost for 24 ounces of cheese = $5.99
One-gallon jug of fruit punch = 128 ounces
The cost of One-gallon jug of fruit punch = $2.50
The costs of 128 ounces of fruit punch = $2.50
The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875
The costs for 96 ounces of fruit punch = $1.88
Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87
Cost per item for x number of people:
y = x(2.5/128) + x (3.99/16)
y = x(0.0195) + x(0.2494)
Cost equation for Priya's budget:
y = 96x(2.5/128) + 24x (3.99/16)
y = 96x(0.0195) + 24x(0.2494)
Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12
