Answer:
The numbers are:
The smaller number = 12The larger number = 51Step-by-step explanation:
Let 'x' be the smaller number
As the lager of two numbers is 15 more than three times the smaller. so,
The larger number = 3x+15
As the sum of the two numbers is 63, so the equation becomes
[tex]x + 3x + 15 = 63[/tex]
[tex]x+3x=63-15[/tex]
[tex]4x=48[/tex]
Divide both sides of the equation by
[tex]\frac{4x}{4}=\frac{48}{4}[/tex]
[tex]x = 12[/tex]
Therefore,
The smaller number = x = 12
The larger number = 3x+15 = 3(12) + 15 = 36+15 = 51
Hence, the numbers are:
The smaller number = 12The larger number = 51Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
Mary is five times as old as Fred. In three years Mary will be 4 times as old as Fred. Find their present ages?
ans
here let mary age be x and fred be y
1st equation
x= 5y
2nd equation
x+3 =4(y+3)
now from 1st equation putting value of x in equation 2
x+3 = 4y+12
5y+3 = 4y +12
y = 9
so fred is 9 and mary is 45
Somebody please help me with this
Austin is 69 years younger than Jamie. 3 years ago, Jamie's age was 4 times Austin's age. How old is Austin now?
Answer: 26 years old
Step-by-step explanation:
Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3Simplify the equations --> 4x-12=x+66Solve the equation: 3x-12=66 --> 3x=78 --> x=26This is the same as other age problems, just with the extra step of distributing the multiplication.
Cynthia is training to run the 100 yard dash. The first week she ran it is 14.0 seconds. The third week she ran it in 13.1 seconds. What is the percent change from week 1 to week 3 rounded to the nearest tenth of a percent?
Answer:
6.43% change
Step-by-step explanation:
Have a good one
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
First week:
Time taken to run 100 yards = 14 seconds
Third week:
Time taken to run 100 yards = 13.1 seconds
The percentage change in the time from the first week to the third week:
= [(Time taken at the first week - Time taken at the third week) / Time taken at the first week ] x 100
= [(14 - 13.1) / 14] x 100
= 0.9/14 x 100
= 6.4%
This means that there is 6.4% from the first week to the third week.
Thus,
The percent change from week 1 to week 3 rounded to the nearest tenth of a percent is 6.4%.
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Can someone please help me
Answer:
The value of x is 7
AC congruent to DF because AC = 13.5 in. and DF = 13.5 in, EF congruent to BC because EF = 12 in. and BC = 12 in., ∠C congruent to ∠F. The triangles ACB and DEF congruent by the SAS Triangle Congruence Theorem only when x = 7
Step-by-step explanation:
If two sides in a triangle congruent to two sides in other triangle and the including angles between the two sides are congruent in the triangles, then the two triangles are congruent by the SAS postulate of congruency
In the given figure
→ If ∠C ≅ ∠F
∵ m∠C = m∠F
∵ m ∠ C = (2x + 14)°
∵ m∠F = (4x)°
→ Equate them to find x
∴ 4x = 2x + 14
→ Subtract 2x from both sides
∴ 2x = 14
→ Divide both sides by 2
∴ x = 7
→ In Δs ABC and DEF
∵ AC congruent to DF because AC = 13.5 in. and DF = 13.5 in
∵ EF congruent to CB because EF = 12 in. and CB = 12 in.
∵ ∠C congruent to ∠F
∴ The triangles ACB and DEF congruent by the SAS Triangle Congruence
Theorem only when x = 7
Please help me solve question 1 thank you !!
Answer:
it would be 90 or 98
Step-by-step explanation:
1+1+????????????????????????
Answer: 4
Step-by-step explanation:
1+1+2=4. Jk
thx for the free points
Answer:
8432324
Step-by-step explanation:
The junior high art club sells candles for a fundraiser. The first week of the fundraiser, the club sells 7 cases of candles. Each case contains 40 candles. The goal is to sell at least 13 cases. During the second week of the fundraiser, the club meets its goal.
Answer:
The minimum number of cases sold the second week was
The number of candles sold in the second week is 240 candles
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Number of cases sold on first week = 7 cases
Number of candles in each case = 40 candles
Total cases of candles to be sold = 13 cases
Remaining cases of candles to be sold in second week =
Total cases of candles to be sold - Number of cases sold on first week
Remaining cases of candles to be sold in second week = 13 - 7
= 6 cases
Therefore , number of candles in 6 cases = 6 x 40
= 240 candles
Hence , the number of candles sold in the second week is 240 candles
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how to write this numbers in word 23.6
Answer:
twenty-three and six tenths
Step-by-step explanation:
twenty-three and six tenths. or, simpler: twenty-three point six
Y=7
Y=-2x+1
Find the intersection
hey anyone under 15 wanna be freinds ?
Answer:
sure
Step-by-step explanation:
im 5 tho :(
Meeeeee I’m 14 <3.............
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 3 and add 1 to the result."
Answer:
3x+1
Step-by-step explanation:
The ratio of females to total students in a mathematics class is 18 to 30. What fraction of the class is male? What percent is male?
Answer:
2/5 or 40%
Step-by-step explanation:
total students=30
female students=18
That must mean, assuming the rest of the class is binary male=12
12/30=2/5 or 40% if you multiply by 20, then multiply by 100%
(2/5)*20=.40*100%=40%
You deposit some money in an account with an interest rate of 4% for 6 years. If you earned $407.83 in interest, how much did you invest? Round to
the nearest cent.
Answer:
$1,699.29
Step-by-step explanation:
Question 3 of 10
What is the slope of the line shown below?
10
A.
13
6
(1.6)
o
B.
6
16
- 5
C.
6
13
5
• (-5, -7)
D.
6
13
Answer:
c
Step-by-step explanation:
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
A. $9.72
B. $21.87
C. $97.20
D. $218.70
Answer:
21.87
Step-by-step explanation:
A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate of production stays the same?
please help if you have the time :)
Answer:
The answer is 112
Step-by-step explanation:
first you add 48 together twice to get 96 which represents 6 hours. Then you divide 48 by 3 to get 16. So you add 16 to 96 which represents 2 hours giving you a total of 112 tons of flour for 8 hours.
Find the measure of the indicated angle to the nearest degree
Answer:
23°
Step-by-step explanation:
Using trigonometry and the Soh Cah Toa method you can find this. Because you are looking for an angle you have to use the inverse and because it is adjacent and hypotenuse you use cosine. So take cos*-1( 35/38) because 35 is the adjacent and 38 is the hypotenuse.
can you help me my mommy told me to ask people here
1+3
Answer:
4
Step-by-step explanation:
3+1=4 very easy math
I ape this helps good luck
Answer:
4
Step-by-step explanation:
how old the fÛÇk are you
25% of the dogs at a park are Corgis. There are 28 dogs at the park. How many dogs at the park are NOT Corgis?
07
O 14
O 20
O 21
O 24
Answer: 21
Step-by-step explanation:
solve the equation
2x-1 x
——- + — = 2
4 3
I think the question is 2x/4 - 1/3 + x = 2
So, if I solve for this:
[tex] \frac{2x}{4} - \frac{1}{3} + x = 2[/tex]
[tex] \frac{x}{2} - \frac{1}{3} + x = 2[/tex]
[tex] \frac{3x}{6} - \frac{2}{6} + \frac{6x}{6} = 2 [/tex]
[tex] \frac{3x - 2 + 6x}{6} = 2[/tex]
[tex]\frac{(3x + 6x) - 2}{6} = 2[/tex]
[tex] \frac{9x - 2}{6} = 2[/tex]
[tex]9x - 2 = 2 \times 6[/tex]
[tex]9 x - 2 = 12[/tex]
[tex]9x = 12 + 2[/tex]
[tex]9x = 14[/tex]
[tex]x = \frac{14}{9} [/tex]
Please help me solve this!!
Answer: X=−1/4
Step-by-step explanation:
What is 452 divided by 91
Answer:
the answer is 4.96703296703
Step-by-step explanation:
hope it helps :)
Answer:
4.96703296703
Step-by-step explanation:
Dividing 452 by 91 will give you 4.96703296703.
-2, 1, 4, 7, 10
find next two term
The next two term is 13 and 16 respectively.
Step-by-step explanation:
here,
a1 = -2
a2 = 1
a3 = 4
a4 = 7
a5 = 10
So, d = a2 - a1 = 1 - (-2) = 3
= a3 - a2 = 4 - 1 = 3
Here, Common difference is same everywhere and the value of d is 3
Then,
To find 6th term of this sequence
a6 = a5 + d
= 10 + 3
a6 = 13
To find 7th term of this sequence
a7 = a6 + d
= 13 + 3
a7 = 16
Thus, The next two term is 13 and 16 respectively.
-TheUnknownScientist
Answer:
13, 16
Step-by-step explanation:
If the positive number is bigger than the negative, the answer would be positive. For example, let's use -2 and subtract it from positive 4, the answer would be positive 2.
Sorry if I'm wrong. I'm a bit rusty on terms
Which equation best represents the
line on the graph?
A y = 3x - 9
B y = -3x + 9
C y = -3x - 3
D y = 5x + 3
Answer:
answer is b
Step-by-step explanation:
Find the line of reflection if the image of (-5, -2) is each of the following
a. (5, -2)
b. (2, 5)
c. (-5, 0)
d. (1, -2
Step-by-step explanation:
which line would it be reflected over??
I can probably awnser if I know that.
The pull of gravity is different on Earth than on the Moon. An object that weighs 25 pounds on Earth weighs about 4 pounds on the Moon. An astronaut, wearing all the necessary gear, weighs 500 pounds on Earth. How many pounds would the astronaut with gear weigh on the Moon?
Answer:
About 80 pounds
Step-by-step explanation:
25 / 4 = 6.25
500 / 6.25
Answer:
80 pounds
Step-by-step explanation:
Please help me with this
Answer:
hi friend me
Step-by-step explanation:
Answer:
Don't you need an equation to find the equation perpendicular to it? Im confused
goods costing 40000 sold at profit 20 percent for cash
Answer:
soooooooooooooooory