Answer:
Answer choices A, B and C identifies the relevant information in the problem
Step-by-step explanation:
Sarah left the house at 12:15 pm
She spent $42.20 on two books for her children
She spent $5.67 on a toy for her dog
Sarah arrived home at 1:00 pm
How much did Sarah spent on each book?
If she spent $42.20 on two books for her children,
Then, it means she has two children and the book cost $21.10 each
Answer choices A, B and C identifies the relevant information in the problem
Answer:
its A all the other one dont make sence sorry if im wrong but i got it right on my test
Step-by-step explanation:
Julie had 2730 cards and Kim had 3570 cards at first.
Julie gave some of her cards to Kim. In the end, Kim had thrice as many cards as Julie.
How many cards did Julie give Kim.
Answer:
1155
Step-by-step explanation:
Total number of cards is 2730+3570=6300
Since Kim now has 3 times the card of Julie so Julie must have 6300/4=1575.
So, Julie gave 2730-1575=1155
Answer:
1155 cards
Step-by-step explanation:
3(2730-x)=3570+x
8190 - 3x = 3570 + x
4620 - 3x = x
4620 = 4x
1155 = x
x^2+4xy+4y^2-8x-16y-20
Answer:
Step-by-step explanation:
x²+4xy+4y²-8x-16y-20=(x+2y)²-8(x+2y)-20
put x+y=t
t²-8t-20=t²-10t+2t-20=t(t-10)+2(t-10)=(t-10)(t+2)
substitute the value of t
x²-4xy+4y²-8x-16y-20=(x+2y-10)(x+2y+2)
i don't know what else you want.
Find the surface area of the composite figure
268 cm^2
Step-by-step explanation:
Find the SA of the purple rectangular prism:
LEFT FACE EXCLUDED
Front: (6)(2) = 12 cm^2
Back: 12 cm^2
Top: (7)(2) = 14 cm^2
Bottom: 14 cm^2
Right: (7)(6) = 42 cm^2
TOTAL: 94 cm^2
SA of the pink triangular prism:
RIGHT FACE EXCLUDED
Front: (1/2)(6)(8) = 24 cm^2
Back: 24 cm^2
Bottom: (7)(8) = 56 cm^2
Left: (10)(7) = 70 cm^2
TOTAL: 174 cm^2
Add both SAs of figures:
174 + 94 = 268 cm^2
find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}
Answer:
domain : {3,4,6}
range: {1,5,9}
please help me with this
Answer:
a) 10
b) 2.5
Step-by-step explanation:
2^n = 1024
2^n = 2^10
n = 10
4^(2n-3) = 16
4^(2n-3) = 4^2
2n-3 = 2
2n = 5
n = 2.5
Solution:-1:-
[tex]\\ \sf\longmapsto 2^n=1024[/tex]
Equal the bases[tex]\\ \sf\longmapsto 2^n=2^10[/tex]
[tex]\\ \sf\longmapsto n=10[/tex]
Solution:-2:-
[tex]\\ \sf\longmapsto 4^{2n-3}=16[/tex]
[tex]\\ \sf\longmapsto 4^{2n-3}=4^2[/tex]
[tex]\\ \sf\longmapsto 2n-3=2[/tex]
[tex]\\ \sf\longmapsto 2n=2+3[/tex]
[tex]\\ \sf\longmapsto 2n=5[/tex]
[tex]\\ \sf\longmapsto n=\dfrac{5}{2}[/tex]
[tex]\\ \sf\longmapsto n=2.5[/tex]
What is x
I dont get it
Answer:
x = 35
Step-by-step explanation:
The angles of a triangle add to 180 degrees
103+ 42 + BCA = 180
BCA = 180 -103 -42
BCA =35
BCA and x are corresponding angles and corresponding angles are equal if the lines are parallel
Drag each label to the correct location on the table. Each label can be used more than once. A cross country coach records the number of miles his athletes on the Junior Varsity and Varsity teams ran today and displays the data in the provided dot plots. Given the shape of each distribution, determine which measures of center and spread are appropriate for him to use to summarize the data from each team. mean mean interquartile range interquartile range standard deviation standard deviation median median
Answer:
a.) For the Junior Varsity Team, mean would be the appropriate measure of center since the data is symmetric or well-proportioned while we should use standard deviation for getting the measure of spread since it also measures the center and how far the values are from the mean.
b.) For the Varsity Team, the median would be the appropriate measure of the center since the data is skewed left and not evenly distributed so median could be used since it does not account for outliers while we use IQR or interquartile range in measuring the spread of data since IQR does not account for the data that is skewed.
For the Junior Varsity Team, the mean would be the appropriate measure of the center since the data is symmetric or well-proportioned .
What is median?Median represents the middle value of the given data when arranged in a particular order.
Since the data for the Junior Varsity Team is symmetric or well-proportioned, the mean would be the best way to determine the center, and standard deviation, which also measures the center and how far the values deviate from the mean, should be used to determine the spread.
The median could be utilized for the Varsity Team since the data is not evenly distributed and skewed to the left, and it does not take into account outliers.
We can use the interquartile range (IQR) to quantify the spread of the data because IQR does not take into account the skewed data.
Therefore, the varsity squad competes in intercollegiate or international competitions on behalf of the high school or institution while we should use standard deviation for getting the measure of spread since it also measures the center and how far the values are from the mean.
Learn more about the Varsity team here
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A classroom has 14 boys and 18 girls. What is the ratio of boys to girls?
Answer:
7:9
Step-by-step explanation:
boys:girls
14:18
simplify -- divide by 2
7:9
Answer:
7:9
Step-by-step explanation:
so we start of with 14 boys to 18 girls, but we need to simplify it.
so we half both numbers to get to 7:9.
this is the most simplified form of this ratio.
the answer is 7:9
Read the following statements. The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and
60", so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from
the statement above?
Answer:
what number must be added to sum of two angles that the sum of three angles become 180.
Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.
Step-by-step explanation:
Given
sum of measure of angle of triangle = 180°
given two angles 40°and 60°
Let the third angle be x°
thus
40°+ 60°+x° = 180°
100°+x° = 180°
x° = 180°- 100° = 80°
Thus, third angle measure 80°
She must have sum the first two known angles.
as given sum of three angles are 180
she must have assumed other angle to be x
then sum of all three angles must be 180
now to find third angle she subtracted sum of two known angles to find third angle.
other way can what number must be added to sum of two angles that the sum of three angles become 180.
Since sum of two angles is 100 , 80 must be added to 100 to make it equal to 180.
Find the sum of measures of all interior angles of a polygon with number of sides 8
Answer:
The answer is 1080°Step-by-step explanation:
Sum of measures of an interior angle of a polygon is given by
( n - 2) × 180
where n is the number of sides
From the question the number of sides is 8 so n = 8
The sum of it's interior angles is
(8 - 2) × 180
6 × 180
= 1080°Hope this helps you
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
At the Scott wedding, 12 guests sat on the groom's side and 10 guests sat on the bride's side. At the Smith wedding, 13 guests sat on the bride's side and 18 guests sat on the groom's side. Which wedding had a lower ratio of guests of the groom to guests of the bride?
A. not enough information
B. the Smith wedding
C. neither, the ratios are equivalent
D. the Scott wedding
Answer:
D. The Scott Wedding
Step-by-step explanation:
Scott: 12 guests on the groom's side and 10 guests on the bride's side
Smith: 18 guests on the the groom's side and 13 guests on the bride's side
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement. Triangle LKJ≈____
Answer: C) similar, SAS similarity, triangle LQR
==============================================
Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use a calculator to find the probability that the weight of a randomly-selected car passing over the bridge is less than 3,000 pounds.
Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
shannon is paid £1150 a month after deductions.what is her net annual salary?(a year=12 months )
Answer:
£13800
Step-by-step explanation:
1150*12=£13800
लेखकाला शाल देणारे जोडपे
होय साहेब!!!!!!!!!!
In Parallelogram DEFG, DH= x+3, HF= 3y, GH= 2x-5, and HE= 5y+2. Find the values of x and y.
Answer:
y=13 , x=36
Step-by-step explanation:
The diagonal of parallelogram bisect at a point where the sides across the intersection are equal
DH=HF
x+3=3y
x=3y-3 first equation
HE=GH
2x-5=5y+2 ⇒ 2x-5y=7 second equation
solve by substitution: x=3y-3
2x-5y=7
2(3y-3)-5y=7
6y-6-5y=7
y=7+6
y=13
x=3y-3
x=3(13)-3
x=36
Please answer. I need this to be done, Thanks. Will give brainliest
Answer:
The answer is s^26/pq59
Step-by-step explanation:
Answer:
p^ -1 q ^ -59 s ^26
or without negative exponents
s^ 26 /(p q^ 59)
Step-by-step explanation:
When multiplying , we can add the exponents when the bases are the same
p^0 q ^ -60 r^-1 s^25 * p^-1 qrs
When there is no exponent written, there is an implied 1
p^ (0+-1) q^(-60+1) r ^( -1 +1) s ^ ( 25+1)
p^ -1 q ^ -59 r ^0 s ^26
r^0 = 1
p^ -1 q ^ -59 s ^26
If you need the negative exponents written as positive
a^-b = 1/ a^b
s^ 26 /(p q^ 59)
The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.
Answer:
47°;47°;113°;113°
Step-by-step explanation:
3x+5=61-x
4x=56
X=14
In a given set of data, if the variance is 25, what is the standard deviation? *
Explanation: apply the square root to the variance to get the standard deviation
standard deviation = sqrt(variance)
variance = (standard deviation)^2
Based on the variance of the set of data and the definition of standard deviation, the standard deviation here must be 5.
Standard deviation allows us to measure how far apart variables are in a data set.
It is calculated as:
= √Variance
= √25
= 5
In conclusion, the standard deviation is 5 .
Find out more at https://brainly.com/question/14283696.
Write (25x^2 + 30x + 12) in the form (ax + b)^2 + c.
Answer:
25 x^2 + 30 x + 12
Parcelas
Plots
Parcelas
Figura geométrica
parabola
Formas alternativas
x (25 x + 30) + 12
(5 x + 3)^2 + 3
5 x (5 x + 6) + 12
Raíces complejas
x = -1/5 i (sqrt(3) + -3 i)
x = 1/5 i (sqrt(3) + 3 i)
Step-by-step explanation:
simplify3³×9²×125³÷9³
Answer:
Step-by-step explanation:
Prime factorize 9 and 125
9 = 3* 3 = 3²
125 = 5 * 5 * 5 = 5³
3³ * 9² * 125³ ÷ 9³ = [tex]\frac{3^{3}*(3^{2})^{2}*(5^{3})^{3}}{(3^{2})^{3}}\\[/tex]
[tex]= \frac{3^{3}*3^{4}*5^{9}}{3^{6}}\\\\=\frac{3^{3+4}*5^{9}}{3^{6}}\\\\= \frac{3^{7}*5^{9}}{3^{6}}\\\\=3^{7-6}*5^{9}\\=3*5^{9}[/tex]
Exponent laws:
[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n} = a^{m +n}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \ ; \ m > n[/tex]
5×12÷[-12÷{15+(4-3)}]
Answer: -80
Step-by-step explanation:
Jess receives a $15000 salary for working as an engineer. If Jess has to spend $6000 of her salary on expenses each year, then what percent of Jess's money does she have to spend? Round your answer to the nearest whole number if necessary.
Answer:
Jess will have to spend 40% of her salary
Step-by-step explanation:
Jess salary = $15,000
Jess expenses = $6,000
what percent of Jess's money does she have to spend
Percentage of Jess expenses = Jess expenses / Total salary × 100
= 6,000 / 15,000 × 100
= 0.4 × 100
= 40%
Jess will have to spend 40% of her salary
A box contains cards number 1-10. A card is drawn at random, without replacement, and a second card is drawn. What is the probability that the first number is a multiple of five and the second number is a multiple of three?
Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is [tex]\frac{1}{3}[/tex] if first draw was successful, and [tex]\frac{2}{9}[/tex] if the first number was multiple of three.
Using conditional probability, it is found that there is a 0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: First number is a multiple of 5.Event B: The second number is a multiple of 3.There are 10 numbers, of which 2(5 and 10) are multiples of 5, hence [tex]P(A) = \frac{2}{10} = 0.2[/tex]
Then, supposing a multiple of 5 is taken, there will be 9 numbers, of which 3(3, 6 and 9) are multiples of 3, hence [tex]P(B|A) = \frac{3}{9} = \frac{1}{3} = 0.3333[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.2(0.3333)[/tex]
[tex]P(A \cap B) = 0.0667[/tex]
0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A similar problem is given at https://brainly.com/question/14398287
An insect crawls up 5cm every second on a 6cm vertical rod and then falls down 2cm over the next second. How many seconds will it take to climb the rod?
Answer:
3 seconds
Step-by-step explanation:
It's quite simple. First, add 5cm to the progress of the insect, counting it as 1 second. Then subtract 2cm because it falls over the next second, thus taking another second. Then finally, plus 5cm, making it 3 seconds. It's not 4 seconds because at 3 seconds it had already reached the top.
If I didn't clear everything or messed up, please comment.
If ABC - AZXY, mZA = 50, and mZC = 30,
what is mZX?
Let it be x
Using angle sum theory
[tex]\\ \sf\longmapsto 50+30+x=180[/tex]
[tex]\\ \sf\longmapsto 80+x=180[/tex]
[tex]\\ \sf\longmapsto x=180-80[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
Use the graph to find the cost of 6 show tickets.
O A. The cost of 6 show tickets is $6.
O B. The cost of 6 show tickets is $50. O C. The cost of 6 show tickets is $5. O D. The cost of 6 show tickets is $30. SUBMIT
Answer:
the answer is d 6 tickets are 30$
Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5?
Answer: y = -3x -7 or 3x + y = -7
Step-by-step explanation:
For two lines to be the same, they need to have the same slopes but different y-intercepts. First convert the equation 3x+y =5 into slope intercept form.
3x + y = 5 subtract 3x from both sides
-3x -3x
y = -3x + 5 in this case we know that the slope is -3 and the y-intercept is 5.
Now since they will have the same slope input the x and y coordinates and find the equation that will be parallel to it.
-4 = -3(-1) + b
-4 = 3 +b
-3 -3
b= -7
Since the y intercept is -7 the equation will be y = -3x -7 or 3x + y = -7
Equation of the line through (-1,-4) and parallel to the line 3x + y = 5 is
3x + y + 7 = 0
What is slope intercept form?The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as:
y = mx + b.
Given, equation of line
3x + y = 5
y = -3x + 5
Comparing to y = mx+c
slope m = -3
slope of parallel lines are equal
∴ slope m' of the line which passes through (-1,-4) is -3
Equation of the line
y-(-4) = m'(x - (-1))
y + 4 = -3x - 3
y = -3x - 7
3x + y + 7 = 0
Hence, 3x + y + 7 = 0 is the equation of the line passing through (-1,-4) and parallel to 3x + y = 5.
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help idk how to do these and its hard
Answer:
Hey there!
12^2+5^2=c^2
144+25=c^2
c=13
Let me know if this helps :)
Answer:
[tex]\Large \boxed{\mathrm{D) \ 13}}[/tex]
Step-by-step explanation:
[tex]\sf We \ can \ apply \ Pythagorean \ theorem.[/tex]
[tex]c=\sqrt{a^2 +b^2 }[/tex]
[tex]\sf Plug \ in \ the \ values.[/tex]
[tex]c=\sqrt{5^2 +12^2 }[/tex]
[tex]\sf Evaluate.[/tex]
[tex]c=\sqrt{25+144}[/tex]
[tex]c=\sqrt{169}[/tex]
[tex]c=13[/tex]
what is the equation of the line that passes through the point (3,-7) and has a undefined slope
Answers:-
y = mx+b where m is the slope and b is the y intercept.
The line must pass through (3,-7) therefore
-7 =3 m +b
Now solve for b
b=-7 - 3m
Now substitute b into the definition of a line
y = mx -7 -3m
y=m*(x-3) -7
Now check the solution to see if for every m it passes through (3,-7)
substituting x in to the solution.
y=m(3–3)-7
y=7 hence the solution is correct. for any m
Plz follow ma );
Answer:
y = 7
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept.
The line must pass through (3,-7) therefore ---> -7 =3 m +b
Now solve for b ---> b=-7 - 3m
Now substitute b into the definition of a line, y = mx -7 -3m ---> y=m*(x-3) -7
Now check the solution to see if for every m it passes through (3,-7)
Substitute x in to the solution ---> y=m(3–3)-7
y=7 therefore the solution is correct.