Answer:
Please find attached pdf
Step-by-step explanation:
One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers
Answer:the two numbers are 2 and 19
Step-by-step explanation:
Let one of the numbers be x
and the second be 7+ 6x
so that the sum of the two numbers which totals 21 be expressed as
x + (7+ 6x) = 21
x+ 7+6x= 21
7 + 7x = 21
7x= 14
x= 14/7 = 2
one of the numbers = 2
the other number given as
7+ 6x = 7+ 6 x 2= 7+12= 19
The numbers are 2 and 19 .
The numbers as described in the question are; 2 and 19
Solving word problemsFrom the given problem statements;
The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 = 6x = 217x = 14x = 2Hence, the second number is; 7 + 6x = 7 + 6(2);
y = 19Read more on word problems;
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Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
What is this picture an example of ?
A. Translation
B. 90 degree
C. 270
D.reflection
Answer:
(B). 90 degree
Step-by-step explanation:
it's not a or c or D it's only B
Solve the system using elimination.
SHOW ALL WORK on a separate sheet of paper.
52 - 2y = -48
2x + 3y = -23
Answer:
y=50 and x=-173/2
Step-by-step explanation:
52-2y=-48
∴-2y=-100
y=50
and 2x+3y=-23
y=50→(1)
2x+3y=-23→(2)
Putting y=50 in equation (2), we get
⇒2x+3y=-23
⇒2x+3(50)=-23
⇒2x+150=-23
⇒2x=-23-150
⇒2x=-173
⇒x=-173/2
∴y=50 and x=-173/2
In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
diego has some money in his bank account before he starts a summer job. he deposits the money from the summer job in his bank account and doesn't spend any of it. After working 3 hours, he has $71 in the account. After working 12 hours, he has $134 in the account.
How much money does diego earn per hour
Answer:
About $23.77 per hour.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if this helped ;)
The Diego earn [tex]\$ 7[/tex] per hour.
Calculation:Given that,
After working 3 hours, he has $71 in the account.
After working 12 hours, he has $134 in the account.
It means that, After working 9 hours,
Diego earn [tex]=134-71=63[/tex]
In 9 hours, earning [tex]=63\$[/tex]
In one hour, earning [tex]=63/9=\$7[/tex]
Learn more about the per hour earning here:
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Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calculate the length of the missing side. Show your work.
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?
A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet
Answer:
34
Step-by-step explanation:
You roll two dice 44 times how many times do you expect to roll at least one even die?
Answer:
2
Step-by-step explanation:
6, because there's 3 types of even die and you're rolling it 44 times, or 6 times per number
Jamal spent 1 1/2 hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied what fraction of an hour did ruby spend studying
Answer:
First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.
Step-by-step explanation:
Choose the model that matches the situation.
A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,
[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]
Hence, the fraction of an hour for which Ruby studied is (1/2).
Learn more about Fraction:
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X+y = -15 in y = mx+b form
Answer:
y=-15x+b
Step-by-step explanation:
Just move it around and use a calucator
Find the measure of the angle, θ, where 0° ≤ θ ≤ 90°.
sinθ = 1/2
Answer:
[tex]\theta = 30^{\circ}[/tex]
Step-by-step explanation:
Given:
Range: [tex]0^{\circ} \le \theta \le 90^{\circ}[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Required
Find [tex]\theta[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Take arcsin of both sides
[tex]sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})[/tex]
[tex]\theta = sin^{-1}(\frac{1}{2})[/tex]
Using the sin table
[tex]\theta = 30^{\circ}[/tex]
Translate the pre image
(x+12, y+11)
what are the coordinates of the image?
Answer:
-12 , -11
0,0
12, 11
24, 22
Step-by-step explanation:
PLEASE HELP,, WILL GIVE LOTS OF POINTS & BRAINLY
Answer:
the amplitude is 3/2
the vertical shift is 0
Step-by-step explanation:
Which is greater. 12 laps in 8 minutes or 16 laps in 10 minutes
Answer:
16 laps in one minute
Step-by-step explanation:
If you divide it you can find that the person will run 1.6 laps in a minute and the other one will run 1.5 laps in 1 minute.
Find the median of these numbers:4,2,7,4,3 *
Answer:
4
Step-by-step explanation:
median: the middle value. to find this, arrange your numbers in order from least to greatest and find the one in the middle. if there are two in the middle, add them and then divide by 2.
4, 2, 7, 4, 3 → 2, 3, 4, 4, 7
since 4 is in the middle, that is your answer
The median of the sequence is 4.
What is the median?One of the three methods of measuring central tendency is the median. The centre point of a data set is indicated while describing it. The measure of central tendency is this. The mean, median, and mode are the three most popular methods for calculating central tendency.
Given the sequence 4,2,7,4,3,
to find median arrange the values in ascending order,
2, 3, 4, 4, 7
since the sequence has 5 digits so the median is the middle term,
center digit is 4,
median is 4.
Hence the median is 4
Learn more about median;
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Match the reasons with the statements in the proof.
Answer:
for some reason i cant see ur attachment. lo siento
erica planted 8 cucumber plants each plant had 37 green cucumbers. how many cucumbers are the 8 plants altogether
Answer:
296
Step-by-step explanation:
8 plants × 37 on each = 296 cucumbers
Answer: 296
If you multiply the 37 green cucumbers each by the 8 cucumber plants they grew from, you'd end up with 296 green cucumbers altogether.
Doreen Schmidt is a chemist
Answer:
that isnt a question but good to know! :)
Step-by-step explanation:
Round number 245-320
Answer:
300
Step-by-step explanation:
if you mean, 245.320
A rental car company charges a fee of $150.00 for renting a car for a week plus $0.25 per mile driven.
Answer:
y = 150z + .25x
y = $ amount of rental
z = weeks rented
x = miles driven
i hope this helps :)
1/2 (16x + 20)
Need help
Answer: let's say x = 1
16 x 1 =16
16+20=36
36x1/2=18
Step-by-step explanation:
the cost of New York Yankees baseball cap is 24.00. The local sporting goods store sells it for $30.00. markup rate
100000000000000000000+10000000000000000
Answer:
1.0001e+20
Step-by-step explanation:
Answer:
1.0001e+20
Step-by-step explanation:
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
12b – 5 = 3b
How do you solve for b
Answer:
b=5/9
Step-by-step explanation:
Consider the following set of data:
19 67 81 34 61 52 94 68 16
Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.
Mean =
Median =
Mode=
What value of x will make the equation below true?
8x=4x+16
Answer:
x=-2
Step-by-step explanation:
Can you help me on question one?!
Answer:
I believe the answer is C
Answer:
I think answer is C
Step-by-step explanation:
Becausr A B AND D ARE SAME FORM OF WRITTING