The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.
Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,
Establishing the equation, we get,
x+y = 20
x = 20-y......(i)
10x+15y = 240.......(ii)
Using the equation (i) in (ii), we get
10(20-y)+15y = 240
200-10y+15y = 240
5y = 40
y = 8
Put y = 8 in eq(i)
x = 20-8
x = 12
Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
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The sum of the opposite of a number and six is less than or equal to five.
Answer:
-x+6< 5
there is a line under the less than symbol
Step-by-step explanation:
The mathematical expression is;
⇒ - x + 6 ≤ 5
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The algebraic expression is,
''The sum of the opposite of a number and six is less than or equal to
five.''
Now,
Let a number = x
The, The opposite of a number = - x
So, We can formulate;
⇒ - x + 6 ≤ 5
Thus, The mathematical expression is;
⇒ - x + 6 ≤ 5
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Find the length of the third side. If necessary, write in simplest radical form.
3
2
Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
What is the next term in the pattern 0.4,0.8,1.2,1.6?
Answer:
2.0
Step-by-step explanation:
increase by 0.4 in each term.
Maria claims that ABE ~ ACD. Select two of the transformations or series of transformations that supports Maria's claim and maps ABE to ACD
Answer:
All the answers that has the dilation of 3, except the last one.
when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number
9514 1404 393
Answer:
56
Step-by-step explanation:
In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.
Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.
So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.
__
Check
56 × 6 = 336
65 × 5 = 325
5 + 6 = 11
_____
* Additional comment
These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625
5. One side of a triangle has length 12.
2. How long is the segment that joins the midpoints of the other two sides?
b. How long would the segment joining the midpoints be if the side of the
triangle had length 10? Length 18? Length 19?
You have 5/8 of a large bottle of shampoo. You pour 3/10 of the shampoo into a smaller bottle. How much of the entire large bottle do you pour into the smaller bottle
Answer:
13/40
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you have 5/8 of a large bottle of shampoo,
(5/8)*(3/10)=15/80=3/16
A television has a normal price of £670. In a sale the price is reduced by 30%. Work out the price of the television in the sale.
Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.
Answer:
.40 cents each.
Step-by-step explanation:
$3.20/8=.40
What is the surface area of the cylinder with height 4 yd and radius 2 yd? Round your answer to the nearest thousandth.
Answer:75.398
Step-by-step explanation:
A certain radioactive isotope is a byproduct of some nuclear reactors. Due to an explosion, a nuclear reactor experiences a massive leak of this radioactive isotope. Fortunately, the isotope has a very short half life of 9 days. Estimate the percentage of the original amount of the isotope released by the explosion that remains 8 days after the explosion
Answer:
jsuw
Step-by-step explanation:
bauxiiqodoysyvw. a dejavu losentino verete la müa
Help me with my math
Answer:
The first one is correct
Step-by-step explanation:
-3<1-1 - 3<0 correct
-3>1 it is not correct
Maria is making 2 liters of cherry lemonade, 5 deciliters of lime lemonade, and 2,500 milliliters of strawberry lemonade for a party. After the party was over, she still had a total of 1.3 liters of lemonade left. How many liters of lemonade were consumed during the party? Enter only the number. Do not include units.
Answer:
3.2 liters were consumed during the party
There are a total of 2000+500+2500=5000 millileters of lemonade at the beginning.
Now there is 1.3 liters left, 5000-1300=3700milliliters=3.7 liters of lemonade is consumed during the party
Six friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get? simplify your answer to a mixed number
Answer:
Step-by-step explanation:
Divide the 8 cups between 6 people: 8/6 = 1.333
As a mixed fraction, that is 1(1/3)
As an improper fraction (that you didn't ask for but whatever), it's 4/3
Each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Six friends are sharing 8 cups of lemonade.
The friends share 8 cups lemonade equally.
We need to find the number of cup each friend will get.
To find this we have to divide eight by six.
In this questions we are splitting 8 cups among 6 friends.
Divide 8 by 6
8/6
Now divide numerator and denominator by 2
4/3
Now let us convert this to mixed fraction
[tex]1\frac{1}{3}[/tex]
Hence, each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.
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Help please I will give Brainliest
Answer:
Reduce the expression, if possible, by eliminating common factors.
Exact form:
1/30
Decimal form:
0.03
Which of the following are exterior angles? Check all that apply
Answer: D, C, A
Step-by-step explanation:
An exterior angle is an angle that is supplementary to an interior angle.
The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.
What is the Exterior angle?Exterior angles become by a side of that figure and its extended adjacent side.
The exterior angle has been attached.
Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.
Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.
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Sheila simplified an expression using the following steps. Which property justifies Step 3? Step 1: 5x + 4(3 + 2x) Step 2: 5x + 12 + 8x Step 3: 5x + 8x + 12 Step 4: 13x + 12 O A. Identity Property O B. Associative Property O C. Distributive Property D. Commutative Property
Answer:
distributive property
Step-by-step explanation:
have a great day
Answer:
: 5x + 4(3 + 2x)
: 5x + 12 + 8x
: 5x + 8x + 12
: 13x + 12 Distributive Property
3t + 7 = 2 +5t , then find the value of t.
Answer:
t = 5/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3t + 7 = 2 + 5t
Step 2: Solve for t
[Subtraction Property of Equality] Isolate t terms: 7 = 2 + 2t[Subtraction Property of Equality] Isolate t term: 5 = 2t[Division Property of Equality] Isolate t: 5/2 = tRewrite: t = 5/2Answer:
t = ⁵⁄₂ or 2.5Explanation:
3t + 7 = 2 + 5t
Simplify both sides of the equation3t + 7 = 5t + 2
Subtract 5t from both sides3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
Subtract 7 from both sides−2t + 7 − 7 = 2 − 7
−2t = −5
Divide both sides by -2
−2t / -2 = −5 / -2
Simplifyt = ⁵⁄₂
Turn the fraction into a decimalt = 2.5
t = ⁵⁄₂ or 2.5
im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh
Answer:
I hope u can sleep more
Step-by-step explanation:
Answer:
ohhhhhhh
Step-by-step explanation:
yea that sucks but why can't you go to bed until 8-9?????
PLEASE HELP!!!!
angle A is complementary to angle B . The measure of angle A is(2x+5)^ The measure of angle B is twice the measure of angle A . Part A Write an equation that can be used to determine the value of . Enter the correct answer in the box
Answer:
angle A =90- angle B
angle A=(2x+5)
angle B =2x(let the angle A be x)
(2x+5)=90-2x
2x+5=90-2x
4x+5=90
4x=90-5
4x=85
x=85/4=21.25
angle A=2(21.25)+5=42.5+5=47.5
angle B =2(21.25)=42.5
Solve -4x <_-8. Graph the solution.
Answer:
BStep-by-step explanation:
-4x <_ -8
x <_ -8 ÷-4
x <_ 2
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. 3 Przeczytaj zadanie.
po podwórku biegają króliki i paw. Zwierzęta mają razem 18 nóg. Ile jest
królików?
Wykonaj kolejne polecenia.
Przyjmij jako niewiadomą liczbę królików.
Zapisz w postaci wyrażenia algebraicznego (czyli używając niewiadomej),
ile nóg mają wszystkie króliki razem.
Zapisz w postaci wyrażenia algebraicznego, ile nóg mają zwierzęta na
podwórku.
. Ułóż równanie i je rozwiąż.
. Zrób sprawdzenie (sprawdź, czy odpowiedź zgadza się z informacjami
podanymi w zadaniu).
Zapisz odpowiedź.
Na godzinę 9:48 ma być bardzo proszę daje naj
Answer:
hindi ko ma intindihan jknjjj
Lines s and t are parallel. Find the value of x.
PLEASE HELPPPPP, THANKSS!!!!
Answer:
50 i think
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
Given,
In the second transversal 40° is correspondent to second parallel line in the pair so we get 40° here.
Then, at intersection we get 90°.
Now, by the problem,
180° -90° -40° = 50° [linear pair]
Hence, we got 50° at intersection of second line.
Now,
angle x = 50° (corresponding angles)
What is the expression that means the same as 7 less than the square of a number? A. 7-2x B. 7-2× C. 7-x2 D. x2-7
Answer:
D
Step-by-step explanation:
7 less than the square of the number means a number squared subtracted by 7, which would be D.
you have one sheet of 18 stickers. If you put an equal amount of stickers on 3 sheets of paper, how many stickers will be on each page?
Answer
there will be 6 on all three pages
Step-by-step explanation:
divide 18 by 3
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
First, we need to find the mean and median of the scores.
Mean:
86+72+92+62+99+93=504
There are 6 test scores, so:
504 ÷ 6 = 84
Median:
62, 72, 86, 92, 93, 99
86 + 92 = 172
172 ÷ 2 = 86
The answer would be:
Mean: 84
Median: 86
Find the area of the area of the following figure please answer I’ll make Brainly
Answer: 91
Step-by-step explanation:
which statement correctly descibes what happens to the shape and location of the graph of y=2x^2 if it is regraphed as y=-1/2x^2
HELPPPPPPP
Answer:
I got the same question rn
Step-by-step explanation:
What did you end up with for the answer?
is 63 the soloution to p/9 = 7
Answer:
yes it is
Step-by-step explanation:
Yes the solution to p/9 = 7 is 63.
How many numbers between 75 and 500 are divisible by 7
9514 1404 393
Answer:
61
Step-by-step explanation:
75 = 10×7 +5
500 = 71×7 +3
All the multiples of 7 between the 10th and the 71st (including the 71st, but not the 10th) are numbers in the range that are divisible by 7.
61 numbers in the interval [75, 500] are divisible by 7.