Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
[tex]R + S + T = 87[/tex]
[tex]R = 4 * S[/tex]
[tex]T = 15 + S[/tex]
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]
This gives:
[tex]4 * S + S + 15 + S = 87[/tex]
[tex]4 S + S + 15 + S = 87[/tex]
Collect Like Terms
[tex]4 S + S + S = 87 - 15[/tex]
[tex]6S = 72[/tex]
Divide through by 6
[tex]S = 72/6[/tex]
[tex]S = 12[/tex]
This implies that Sandy is 12 years old
Substitute 12 for S in [tex]R = 4 * S[/tex] and [tex]T = 15 + S[/tex]
[tex]R = 4 * 12[/tex]
[tex]R = 48[/tex]
[tex]T = 15 + 12[/tex]
[tex]T = 27[/tex]
This implies that Randy is 48 years old and Todd is 27
what are the names of three planes that contain Point G
Answer:
Points L, J, and K are collinear.
Step-by-step explanation:
brinlest plz
Answer:
ferns,gymnosperms, and flowering plants are all vascular plants
Step-by-step explanation:
A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this rule?
VX
(x,y) - (x - 3, y + 5)
O (x, y) - (x-3, y-5)
(x,y) - (x + 3, y-5)
O(x, y) - (x + 3, y + 5)
Answer:
A
Step-by-step explanation:
The solution is, The way to write the rule is: (x, y) is (x – 3, y + 5).
A triangle which is on a coordinated plane is translated to the rule.
What is coordinate plane?Two lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line.
here, we have,
The original rule x and y coordinates
that are being moved to the left-hand side of the equation by
decreased by 3 units and rise up by 5 units.
Based on the information given,
we can come to the conclusion that other way to
write the given rule is
(x, y) is (x – 3, y + 5).
Hence, the other rule which are given are incorrect.
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A box of rice costs $2.99 for 62 oz. What is the unit cost for 1 oz?
Answer:
0.04
Step-by-step explanation:
set up a proportion!
sorry if its sloppy, i did this on my laptop :/
Answer:
.48 cents for 1 oz
Step-by-step explanation:
You first take the 2.99 and divide by 62 to get your amount for 1 oz
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
Learn more about Sequence here:
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PLEEEEAASEEE HEEELPPP MEEE
Answer:
The measure of the vertex angle is 100°
Step-by-step explanation:
In Δ MNO
∵ Δ MNO is an isosceles triangle with base MO
∴ NM = NO
→ In an isosceles triangle, the base angles are equal in measures
∵ ∠M and ∠O are the base angles isosceles ΔMNO
∴ m∠M = m∠O
∵ m∠M = (3x + 10)°
∵ m∠O = (5x - 10)°
→ Equate their measures
∴ 5x - 10 = 3x + 10
→ Add 10 to both sides
∵ 5x - 10 + 10 = 3x + 10 + 10
∴ 5x = 3x + 20
→ Subtract 3x from both sides
∴ 5x - 3x = 3x - 3x + 20
∴ 2x = 20
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]
∴ x = 10
→ Substitute the value of x in the measures of ∠M and ∠O to find them
∵ m∠M = 3(10) + 10 = 30 + 10
∴ m∠M = 40°
∵ m∠O = 5(10) - 10 = 50 - 10
∴ m∠O = 40°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ m∠M + m∠O + m∠N = 180°
∵ 40 + 40 + m∠N = 180
→ Add the like terms
∴ 80 + m∠N = 180
→ Subtract 80 from both sides
∴ 80 - 80 + m∠N = 180 - 80
∴ m∠N = 100°
∵ ∠N is the vertex angle of Δ MNO
∴ The measure of the vertex angle is 100°
PLEASE HELP ME WITH THESE QUESTIONS ASAP
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d 64 because a rational number is a whole number not decimals.
Step-by-step explanation:
brainliest pls
There are 260 students in 6th grade at meghan's school if 15% of them play a instrument how many 6th graders at meghan's school play an instrument ?
Answer:
39 people
Step-by-step explanation:
15 percent *260 =
(15:100)*260 =
(15*260):100 =
3900:100 = 39
Plz Award Brainlest
Answer: 17 or 33 student of 6th grade
Step-by-step explanation: that how you do the math
Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child. Which a y = 10x + 5 b y = 5x + 10 c y = -5x + 10 d y = -10x -5
Answer: B. y = 5x + 10
Step-by-step explanation:
Based on the scenario in the question, you didn't really say what you'll like to calculate but I guess you want to know the equation that can be used to represent the above information.
Let x = the number of children babysit
The amount charged by Sandy can then be written as:
y = 10 + 5(x)
y = 10 + 5x
y = 5x + 10
Therefore, the correct option is B.
if f(x) = x^2+3x-2, find f(-2)
Answer:
f(-2)= -4
Step-by-step explanation:
f(-2) = (-2)² +3(-2) - 2
f(-2) = 4 - 6 - 2
f(-2) = -4
On the coloring sheet find the ratio that is equivalent to 2/7
Answer:
Equivalent Ratios of 2 : 7
2 : 7 4 : 14 6 : 21 8 : 28 10 : 35 12 : 42 14 : 49 16 : 56 18 : 63 20 : 70 22 : 77 24 : 84 26 : 91 28 : 98 30 : 105 32 : 112 34 : 119 36 : 126 38 : 133 40 : 140 42 : 147 44 : 154 46 : 161 48 : 168 50 : 175 52 : 182 54 : 189 56 : 196 58 : 203 60 : 210
( Brainlyst helps my rank <3 )
Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)
Answer:
The first thing we must do is find the percentage of students who do not like to read mystery stories.
We have then:
Then, to find the number of students who like to read mystery stories, we can make the following rule of three:
15% ----------------> 30 students
85% ----------------> x
From here, we clear the value of x.
We have then:
the number of students at the library who liked mystery stories was 170
What is the binary number for 16
Answer:
Decimal Number 4-bit Binary Number Hexadecimal Number
14 1110 E
15 1111 F
16 0001 0000 10 (1+0)
17 0001 0001 11 (1+1
Step-by-step explanation:
hope this helped
What is the answer to The sum of 2 numbers is 19 and their difference is 3? And thank you brainly for helping. I need the answers correct because I play prodigy, a math game. Thank you!
Answer:
11 and 8
Step-by-step explanation:
11+8=19
11-8=3
Answer:
8 and 11
Step-by-step explanation:
What is the slope for 3y+6x=9
Answer:
The slope is -2!
Step-by-step explanation:
Lets Solve!
3y +6x = 9
First we subtract 6x from both sides
3y = -6x + 9
Next we divide by 3 from both sides.
y = -2x + 3
The slope is -2!
Determine if the ordered pair (-5, -1) is a
solution of 2x - y =-11.
Answer:(-5,-1) is not an ordered pair
Step-by-step explanation:
the ordered pair (-5,-1) is directly related to the variables (x,y) making -5=x and -1=y
so to figure out if the ordered pair is a solution you just plug in the number into their respective variable.
so the equation then becomes 2 (-5) - (-1) = -11
once you solve for the left part of the equation you are then left with -9 = -11 which we know is false.
geometry question. please help
Answer:
The length of PQ is 18 feet.
The length of PR is 18 feet.
The length of QR is 24 feet.
Step-by-step explanation:
A way to set an equation up for this problem is:
[tex]\frac{4}{3}x+x+x=60[/tex]
where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:
[tex]\frac{4}{3}(18)+18+18=60[/tex]
Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:
[tex]24+18+18=60[/tex]
Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
Read more about centroids at:
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please help me due in a few minutes
Answer:
7 units down
Step-by-step explanation:
x+4
x-3
4-(-3) =7
ill give you'll brain list
Answer:
I can’t see. Pic is not readable
Step-by-step explanation:
50% of 70
Help!! It's due by 10:00pm!!
Answer:
35
Step-by-step explanation:
35
What is 50 percent (calculated percentage %) of number 70? Answer: 35.
Answer:
50%×70
REMOVE PERCENT BY DIVIDING WITH 100
=50/100×70
=0.5×70
=35 ANSWER
HELP ME PLEASE!!!!!!!!!!!!
Answer: linear
Step-by-step explanation: cus when u connect the points it forms a straight line
The average cost per unit c(x) to produce x units of lumber is given byc * (x) = 400/(x + 25) if the cost per unit is \$1.00 how many units have been produced if necessary round your answer to the nearest whole unit. the answer is 375
Answer:
The number of units of lumber that have been produced is 375
Step-by-step explanation:
From the question,
The average cost per unit c(x) to produce x units of lumber is given by
c(x) = 400/(x + 25).
Now, to determine how many units have been produced (that is, x) if the cost per unit is $1.00 (that is, c(x) = $1.00), we will put in the value into the given equation to determine x.
c(x) = 400/(x + 25)
c(x) = $1.00
∴ 1.00 = 400/(x + 25)
Then,
(x + 25) × 1.00 = 400
x + 25 = 400
x = 400 - 25
x = 375
Hence, the number of units of lumber that have been produced is 375.
A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos?
Answer:
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = $560
Step-by-step explanation:
Given that :
Total rental cost for all 3 condos = $1240
Let :
I bedroom condo = b
2 bedroom condo = c
3 bedroom condo = 2b
Hence,
b + c + 2b = 1240
3b + c = 1240 - - - (1)
REPAIR COST :
Total repair cost = $276
1 bedroom = 10% of b = 0.1b
2 bedroom = 20% of c = 0.2c
3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b
Hence,
0.1b + 0.2c + 0.6b = 276
0.7b + 0.2c = 276 - - - (2)
From (2)
0.7b + 0.2c = 276
0.7b = 276 - 0.2c
b = (276 - 0.2c) / 0.7
Substitute b = (276 - 0.2c) / 0.7 into (1)
3(276/0.7 - 0.2c/0.7) + c = 1240
1182.8571 - 0.8571428c + c = 1240
1182.8571 + 0.1428571c = 1240
0.1428571c = 1240 - 1182.8571
0.1428571c = 57.1429
c = 57.1429 / 0.1428571
c = 400
3b + c = 1240
3b + 400 = 1240
3b = 1240 - 400
3b = 840
b = 840/3
b = 280
Hence,
I bedroom condo = $280
2 bedroom condo = $400
3 bedroom condo = 2(280) = $560
i need help for this question. can someone help me
Answer:
the missing angle is 130
Step-by-step explanation:
180-50=130
HELPPPPPP PLSSSSSSSSSS ASP HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
if it helps please mark brainliest!
Step-by-step explanation:
essays= x
quizzes=y
2x=60
x=30 1 essay per 30 days
4y=40
y=10 1 quiz every 10 days
120/30=4
120/10= 12
so 4 essays and 12 quizzes in 120 days
if it helps please mark brainliest!
HELP
The length of a rectangle is
[tex]18x ^{2} + 6x - 4[/tex]
and the width of the rectangle is
[tex]3x {}^{2} - 9x + 10[/tex]
what expression would represent the perimeter of the rectangle?
Answer:
21x^2+3x+12
Step-by-step explanation:
The length of x 200 feet
Answer:
If the length of x is less than 200, then add <.
If the length of x is more than 200, then add >.
If the length of x is 200, then add =.
Step-by-step explanation:
0.2(10-5c)=5c-16
solve the iniquality
Find the slope of a line perpendicular to each given line.
y = 1/4x - 4
please help asap it’s timed