Answer:
x = 56
y = 15
Step-by-step explanation:
"The sum of two numbers is 71."
x + y = 71
"The difference of the two numbers is 41."
x - y = 41
Solve the system:
From the first eq.
x = 71 - y
Replacing this value in the second eq.
(71-y) - y = 41
71 - 2y = 41
71 - 41 = 2y
30 = 2y
y = 30/2
y = 15
From the second eq.
x - y = 41
x - 15 = 41
x = 41 + 15
x = 56
Check:
from the first eq.
x + y = 71
56 + 15 = 71
John is a mechanic with a technical license. He has worked 40 hours at minimum wage
this week. How much is his gross wage for the week?
Answer:
$290
Step-by-step explanation:
if minimum wage is $7.25
7.25×40= 290
Can someone please help?
Answer:
(B) 26°
Step-by-step explanation:
The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.
∠ACB = 90° -64°
∠ACB = 26°
Help tell me the numbers in order
Find the midpoint of PQ
Answer:
?? ?? ?? ?? ?? ?? ?? ?? ?? ??
Given that 35.8 x 4.23= 151.434
write down a division sum with an answer of 423.
Answer:
151434/358 = 423
Step-by-step explanation:
Every product with non-zero factors can be written as an equivalent division relation.
a·b = c ⇒ a = c/b
Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...
4.23 = 151.434/35.8
We can multiply this by 100 to get a division relation with a quotient of 423:
423 = 15143.4/35.8
If we want, we can move the decimal points another place to the right to get ...
151434/358 = 423
Solve for y.
y + 3 = 8y + 3
y =
[tex]y + 3 = 8y + 3[/tex]
Subtract both sides 3
[tex]y + 3 - 3 = 8y + 3 - 3[/tex]
[tex]y + 0= 8y + 0[/tex]
[tex]y = 8y[/tex]
Subtract both sides y
[tex]y - y = 8y - y[/tex]
[tex]0 = 7y[/tex]
Divide both sides by 7
[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]
[tex]y = 0[/tex]
There you go....
Ah
Have a great day ♡
An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.
The world’s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam
Answer: Rogun dam is 335m tall and Nurek dam is 300m tall
Step-by-step explanation:
I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.
The system of equations is as follows:
[tex]r+n=635[/tex]
[tex]r-n=35[/tex]
From the second equation, we can rearange it to be:
[tex]r=35+n[/tex]
Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]
[tex](35+n)+n=635[/tex]
[tex]35+2n=635[/tex]
[tex]2n=600[/tex]
[tex]n=300[/tex]
This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:
[tex]r+300=635[/tex]
[tex]r=335[/tex]
Martin filled the pool with 54000 gallons of water.
He paid £2.38 for each 1000 gallons of water.
Work out the total amount he paid for 54 000 gallons of water.
Answer:
£128.52
Step by step:
54,000 ÷ 1,000 = 54
54 * £2.38 = £128.52
Factors of 2x^2-13x+21
Answer:
(2x-7)(x-3)
Step-by-step explanation:
*PLEASE HELP*
If f(x)= 4x^2
+3 , find
f(0)
f(-2)
Answer:
f(0) = 3
f(-2) = 19
Step-by-step explanation:
f(x)= 4x^2 +3
1) f(x) = 4x^2 +3
f(0) = 4(0)^2 +3
f(0) = 3
2) f(x) = 4x^2 +3
f(-2) = 4(-2)^2 +3
f(-2) = 4(4) +3
f(-2) = 19
The price of a train ticket from listen to cancel is normally do $146 however the Dre company is offering a special 55% of discount to children under the age of 16 what is the sale price of the ticket from Lexington to Kansas City
Answer:
80 or 80.3
Step-by-step explanation:
You have to find what is 55% of 146
first set up your fractions. [tex]\frac{n}{146}[/tex] =[tex]\frac{55}{100}[/tex]
for the fraction on the left the denominator is the whole amount (146) and n is the unknown number
For the fraction on the right, the numerator is where the percent goes (55) and the denominator is always 100
Next you multiply using the butterfly method
you multiply across. 146 x 55, which is 8030, and 100 x n, which is 100n,
Now divide 8030 by 100
All you have to do is move the decimal two places, since there are two zero's, and you get 80.3
When you round 80.3 you get 80
hope this helps :)
Determine the measurement of the missing angle
Answer:
31
Step-by-step explanation:
Find missing angle of lower triangle first
35+23=58
180-58=122
Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122
27+122=149
180-149=31
can you help with these problems please.
Answer:
ion kno
Step-by-step explanation
ssa
3 hours = minutes
2 hours 25 minutes. =. minutes
Answer:
180, 145
Step-by-step explanation:
There are 60 minutes in an hour, so we do 3*60=180 for the first one.
For the second one, we first find the minutes in 2 hours, which is 2*60=120. We add 120+25 and get 45.
Jerry took a test that had 45 questions on it. He got 36 correct. Enter the
percentage of questions Jerry got correct.
Answer:
80% is what he got on the test
y = one-fourth x minus 6 be determined? Explain.
Answer:
Step-by-step explanation:
For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.
We will see that both domain and range are the set of all real numbers.
D = (-∞, ∞)
R = (-∞, ∞)
Here we have the function:
The first thing we need to do is find the domain.
We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.
Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).
Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.
Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.
Then the range will also be the set of all real numbers.
the pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 4
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )
x = 4
30 points.
the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?
Answer:
B = (14, 12)
Step-by-step explanation:
As you know, the midpoint is the average of the end point coordinates:
M = (A +B)/2
Solving for B gives ...
2M = A + B
B = 2M -A
B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)
B = (14, 12)
A student finds the minimum value of the function
f
(
x
)
=
x
2
−
18
x
+
85
by completing the square. What is the minimum value of the function?
85
85
4
4
−
9
− − 9
−
18
Write the slope-intercept form of the equation of the line.
For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x
[tex]\huge \bf༆ Answer ༄[/tex]
The equivalent expressions are ~
Question : 1 [tex] \sf \: - 3(7 + 5g)[/tex][tex] \sf - 21 - 15g[/tex][tex] \sf- 15g - 21[/tex]Question : 2[tex] \sf \:( x + 7) + 3y[/tex][tex] \sf \: x + 7 + 3y[/tex][tex] \sf \: x + 3y + 7[/tex]Question : 3 [tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex][tex] \sf \dfrac{10x - 9}{45x} [/tex]9 5×
10× - 945×
Can I get a simple answer
Answer:
The y-intercept of Function A is greater the Function B's.
Step-by-step explanation:
Function B's y-intercept is -5.
Function A's y-intercept is 5.
Please help I have semester exams :(
M is the midpoint of segment AT.
Solve for X and AM
Answer:
x=2
Step-by-step explanation:
5x=3x+4
5x-3x=4
2x=4
x=4/2
x=2
All the best for ur exams .........Mine are going on too btw.......
Plz actually answer cuz i need the answer for that grade upgrade
Answer:
The answer is I think the opened circled -> but I'm not 100% sure
Step-by-step explanation:
Danny buys,
1 loaf of bread for £1.20
1 bottle of milk for 70p
2 packets of cheese for £2.30 each packet
Danny pays with a £10 note.
He says,
“I should get £3.30 change.”
Is Danny correct?
You must show how you get your answer.
Answer:
Danny is incorrect.
Step-by-step explanation:
1 loaf of bread = 1.2
1 bottle of mil = 0.7
2 packets of cheese = 4.6
1.2+0.7+4.6 = 6.5
10-6.5 = 3.5
Danny is incorrect as he should be given £3.50 change instead of £3.30 change.
875537= ? x 10^? i need help on this question
[tex]\huge \bf༆ Answer ༄[/tex]
The given value can be expressed as ~
[tex] \sf8.75537 \times 10 {}^{5} [/tex]You went to the farmer's market and bought berries for $4.50, corn for $2.50, and flower's for $ 7.50. Sales tax is 5%. What was your total bill?
Answer:
total bill = $15.23
Step-by-step explanation:
4.5 + 2.5 + 7.5 = 14.5
14.5 x 0.05 = 0.725
14.5 + 0.725 = 15.225 ≈ 15.23
Work out
m
and
c
for the line:
3
x
+
2
y
−
1
=
0
Answer:
M = -3/2
C = 1/2
Explanation:
3 x + 2 y − 1 = 0
-> 2y = 1-3x
y=-3/2x+1/2
so M = -3/2 and C = 1/2
The sum of two numbers is 20. One number is 3 times the other number. Find the two numbers, show your work
Answer:
5 and 15
Step-by-step explanation:
20 = 3x+x
Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.
