The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
9q + 5 = 77
What is Q ?
I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!
The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Step-by-step explanation:
Answer:
Tacos-6
Burritos-8
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3b+4t=48)
1(6b+2t=60)
Becomes:
−6b−8t=−96
6b+2t=60
Add these equations to eliminate b:
−6t=−36
Then solve−6t=−36for t:
−6t=−36
−6t
−6
=
−36
−6
(Divide both sides by -6)
t=6
Now that we've found t let's plug it back in to solve for b.
Write down an original equation:
3b+4t=48
Substitute6fortin3b+4t=48:
3b+(4)(6)=48
3b+24=48(Simplify both sides of the equation)
3b+24+−24=48+−24(Add -24 to both sides)
3b=24
3b
3
=
24
3
(Divide both sides by 3)
b=8
Answer:
b=8 and t=6
While shopping at Best Buy, you find the brand new laptop you have been wanting. The laptop originally costs $189.99 but is marked for 25% off. Find the discount amount and the new purchase price of the laptop before taxes.
Answer:
$142.49
Step-by-step explanation:
1. 25% = 0.25
2. 189.99 × .25 = 47.4975
3. 189.99 - 47.4975 = 142.4925
4. $142.49
HELP PLEASE
Select the equivalent expression.
Answer:c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Express with positive exponent:
(6^2/z^4)^3
Evaluate:
6^6/z^12
Hello I'm Chloe Can you Help me, Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
workout 4 1/7 + 1 1/2
Answer:
Take 2 1/7 - first multiply the denominator by the whole number to give 14 and now add the numerator to this number to get 15 - the fraction in improper form is 15/7. Do the same process with 1 1/4 - so 4 x 1 = 4 and now 4 + 1 = 5 - the new fraction is 5/4.
Step-by-step explanation:
Sum of given fraction is [tex]5\frac{9}{14}[/tex]
Given fraction;
[tex]4\frac{1}{7} + 1\frac{1}{2}[/tex]
Find:
Sum of given fraction
Computation:
[tex]4\frac{1}{7} + 1\frac{1}{2}\\[/tex]
Simplify given mixed fraction into simple fraction
[tex]\frac{29}{7} + \frac{3}{2}[/tex]
By taking LCM of Denominators
[tex]\frac{58 + 21}{14}[/tex]
[tex]\frac{79}{14}[/tex]
Change simple fraction into mixed fraction
[tex]5\frac{9}{14}[/tex]
Learn more:
https://brainly.com/question/18134643?referrer=searchResults
Can someone please help me with this
Answer:
I would say 7, because if you think about you would know that your answer is 7
f(x) = 3x + 8
fl-1) = ?
1_Escribe cómo se lee los siguientes números.
789.406=
973.002=
1003.576=
3.322.010=
Answer:
setesientos ochenta y nueve mil cuatrosientos seis
novecintos setenta y Tres mil dos
un millon Tres mil quinientos setenta y seis
tres millones tresientos veintidos mil diez
:)
Zena wants to paint a rectangle on a wall to serve as the background for a mural. She has enough paint to cover 38.25 square feet of wall space. If the width of the rectangle is 4.5 feet, what is its maximum length? a 33.75 ft b 8.5 ft c 38.25 ft d 4.5 ft
Answer:
8.5 feet.
Step-by-step explanation:
it is 38.25 / 4.5
Answer:
8.5
Step-by-step explanation:
Which of the following will NOT make a triangle? *
5 inches, 5 inches, 5 inches
4 inches, 4 inches, 3 inches
16 cm, 17cm, 18cm
4 cm, 12 cm, 25 cm
16mc, 17cm, 18cm. because they are big numbers it will probbably go over
Quadrilateral GHIJ is a square. What is the measure of angle FGJ?
Answer:
its symetrical i think
Step-by-step explanation:
Answer: itis a triangle
Step-by-step explanation:
Write down two different prime numbers that have a sum of 34.
Answer:
23+11
Hope that helps :)
Answer:
31+3
Step-by-step explanation:
2,3,5,7,11,13,17,19,23,27,29,31
31+3=34
7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}
B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}
C) {(1,5), 7,2), (9,1), (9,7), (2,7)}
D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}
It’s so early my mind can’t comprehend basic math, what does this mean.
Answer:
Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8
e is 5 more than d
f is 7 less than d
work out e-f
Answer:
12
Step-by-step explanation:
(5+d)-(d-7)
5--7 = 5+7 = 12
To prove this:
d = 10
e = 5+10 =15
f = 10-7 = 3
15 - 3 =12
The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?
Answer:
21 and 34.
Step-by-step explanation:
21 is 13 less than 34 and the sum of them is 55.
Can someone tell me what 5/6 x 9/10 is and explain it please don’t just give me a answer
Plsssssssssssssss help
Answer:
B
Step-by-step explanation:
A man runs 11 miles, turns and walks 9 miles, turns again and runs 6 miles returning to his starting point. What is the area of this triangle formed by his path?
Answer:
26.98
Step-by-step explanation:
was looking everywhere for the answer and couldnt find it so i just figured it out, here
Zara bought 150 pairs of shoes
for $6000 , She sold 100 of them
for $50 each and the remaining 50 for $55 each - How much profit
did she make altogether
required profit=$1750
cp=$6000
sp1=100×$50=$5000
sp of remaining sp2={150-100}×$55=50×55=$2750
profit={sp1+sp2}-cp=$5000+$2750-$6000=$1750
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.
Find the supplementary angle of 101.9º.
HELP
Answer
180
if your feeling nice can you give me a brainlest :)
Answer:
Step-by-step explanation:
(I’ll give brainliest) Jack designed a bridge that would be 0.2 miles long and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.
Answer: 0.12
Step-by-step explanation: Well since 5/5=1 and in this case 3/5 of 0.2 or
3/5 x 0.2 = 0.12miles of the bridge is finished. to check do 0.2*2/5 since 2/5+3/5=5/5 or the total 0.2miles. so 0.2*2/5 =0.8 and 0.8+0.12= 0.2
A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.
Answer:
300 bags of dog food
Step-by-step explanation:
4b + 2b + b + b = 600
(dog) + (cat) + (bird) + (hamster) = 600
8b = 600
b = 75
Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.
f(x) = 2(x + 3)^2 – 6
Find the standard form and the y intercept. Please
Answer:
f(x) = 2x² + 12x + 12; y-intercept is 12
Step-by-step explanation:
f(x) = 2(x + 3)² - 6
This equation is in point slope form. We want to put it in standard form.
According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponent first. (the expression in the parentheses is as simplified as possible).
(x + 3)² → (x +3)(x + 3)
To solve this, we need to FOIL (first | outer | inner | last)
F: x²
O: 3x
I: 3x
L: 9
Combine these terms.
x² + 3x + 3x + 9
x² + 6x + 9
Plug this expression back into your original equation.
f(x) = 2(x + 3)² – 6 → f(x) = 2(x² + 6x + 9) - 6
Next, we will distribute the 2 across the parentheses.
f(x) = 2x² + 12x + 18 - 6
Then, combine like terms. (18 & 6)
f(x) = 2x² + 12x + 12
This is your equation in standard form.
Now we want to find the y-intercept. The y-intercept is the y-value when x = 0. Therefore, we need to plug in x = 0 to the equation.
f(x) = 2x² + 12x + 12
f(x) = 2(0)² + 12(0) + 12
Follow PEMDAS again.
[exponents] → f(x) = 2(0) + 12(0) + 12
[multiplication] → f(x) = 0 + 0 + 12
[addition] → f(x) = 12
Your y-intercept is 12.
Hope this helps!
i need help with the last questions I posted
Which function is f(5) for the function -2x^2+2x-3
A: -107
B: -63
C: -43
D: -37
Answer:
The answer is C.
Step-by-step explanation:
the product of 3 and 12
An expression is .
Answer:
36
Step-by-step explanation:
Answer:
do gk his to him hif to ycj be ljpidtzu
Step-by-step explanation:
Visit us at our website at the time of year again in the United Arab Republic and the best in the United States is the youngest daughter is in no uncertain future of our most important your own badge showing photos in. The time to get aoajjwhsja