Answers
9514 1404 393
Answer:
1. 2x +2y = 310; x -y = 55
2. y = 50, x = 105
Step-by-step explanation:
Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...
2x + 2y = 310
The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...
x - y = 55
__
We can divide the first equation by 2, and subtract the second.
1/2(2x +2y) -(x -y) = 1/2(310) -(55)
2y = 100 . . . . . . . simplify
y = 50 . . . . . . . . . divide by 2
x -50 = 55 ⇒ x = 105 . . . . use the second equation to find x
The two numbers are 105 and 55.
Related Questions
Simplify completely. Leave your answer in exponential form:
Answers
Answer:
[tex] {2}^{3} \times {4}^{3} \times 9[/tex]
Step-by-step explanation:
Using the division rule when dealing with exponents
[tex] \frac{b {}^{h} }{b {}^{j} } = b {}^{h - j} [/tex]
meaning that when we divide exponents that have the same base but different powers we can subtract the power of the bottom exponent from the top exponet.
so using that we are going to do 2, 4 and 9
[tex] \frac{2 {}^{8} }{ {2}^{5} } = {2}^{8 - 5 = 3 \: \: \: \: \: 2 {}^{3} } [/tex]
[tex] \frac{ {4}^{4} }{ {4}^{1} } = {4}^{4 - 1} \: \: \: {4}^{3} [/tex]
[tex] \frac{9 {}^{9} }{ {9}^{8} } = {9}^{9 - 8} = 9 {}^{1} [/tex]
Combine all the terms and we get
[tex] {2}^{3} \times 4 {}^{3} \times {9}[/tex]
May someone help me with this :) it’s easy
Answers
Answer:
b) 35/100
c) 0.35
Step-by-step explanation:
2)
[][][][][][][]Answer:
3. [tex]\frac{20}{100}[/tex] and [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Someone already answered b, c, and 2 so here's the third answer :)
10:50 is a ratio, which can be rewritten as [tex]\frac{10}{50}[/tex]
To write an equivalent fraction, we can either multiply or divide.
Multiplying both the numerator and denominator by 2 gets us [tex]\frac{20}{100}[/tex].
Dividing both the numerator and denominator by 10 gets us [tex]\frac{1}{5}[/tex].
Hope this helps!
Mateo is studying a human hair with a diameter of 6.5 x 10-4 inches and a horse hair with a diameter of 1.3 x 10-3 inches. Which statement is true?
Answers
Answer:
The diameter of horse hair is twice as thick as the diameter of the human hair.
Step-by-step explanation:
The diameter of a human hair = [tex]6.5\times 10^{-4}\ \inches[/tex]
The diameter of a horse hair = [tex]1.3\times 10^{-3}\ \inches[/tex]
Dividing the diameter of a horse hair to the diameter of a human hair as follows :
[tex]\dfrac{\text{Diameter of human hair}}{\text{Diameter of horse hair}}=\dfrac{6.5\times 10^{-4}}{1.3\times 10^{-3}}\\\\\dfrac{\text{Diameter of human hair}}{\text{Diameter of horse hair}}=\dfrac{1}{2}\\\\\text{Diameter of horse hair}=2\times \text{Diameter of human hair}[/tex]
So, the diameter of horse hair is twice as thick as the diameter of the human hair.
Answer:
The horse hair is 2 times as thick as the human hair.
Marselie worked 30 hours last week. She received a $300 bonus as part
of her $900 earnings for the week. How much did Marselie get paid per
hour?
Answers
Answer:
20
Step-by-step explanation:
900-300=600
600÷30=20
A circle has equation
x2 + y2 = 8
Find the area of the circle.
Answers
Answer:
x=4 y=0 or x=2 y=2 or x=0 y=4
Step-by-step explanation:
Answer:
because the circle has equation: x² + y² = 8
=> the circle has the centre I(0;0)
the radius R = 2sqrt(2)
=> the area of the circle =
[tex](2 \sqrt{2})^{2} \times \pi = 8\pi =23.13 [/tex]
Bruce saves $3 of every $5 he
earns. How much would he have
for spending if he earned $60?
Answers
Answer:
20
Step-by-step explanation:
:) hope it helps
which statements are true about the graph of Y is less than 2/3 X +1? Check all that apply
Answers
Answer:
the area below the line is shaded
Step-by-step explanation:
I had 1 ⅔ bottle of shampoo and the I used ⅕ of a bottle to wash my dog. How much shampoo do I have left?
Answers
Answer:
1 7/15
Step-by-step explanation:
2x+1 cual es su respuesta ??
Answers
Answer:??
Step-by-step explanation:
¿A qué es igual la ecuación? x no se puede resolver sin un signo igual al final. por favor responda para que pueda ayudar! :D
Answer:
x= -1/2
Step-by-step explanation:
2x+1=0
-1 -1
2x= -1
➗ por 2
x= -1/2
I really need help. Pleeease. I'm begging you!
Answers
the answer is totally numbers
9+(-14)
What is the answer
Answers
Answer:
9+(-14)=-5
Step-by-step explanation:
9+(-14)
9-14
=-5
Answer:
-5
Step-by-step explanation:
the answer is negative 5
Convert 27 days to weeks and days.
27 days = ___ weeks and ___ days
Answers
Answer:
27 days divided by 7 days
3 6/7
soo 3 weeks and 6 days
Step-by-step explanation:
There are 8 jars of jellyfish jelly for $15.68. Write a proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly.
Answers
Answer:
The proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly =
Cost(c)= 1/8($15.68 × 6)
The cost (c) if you buy 6 jars of jellyfish jelly is $11.76
Step-by-step explanation:
There are 8 jars of jellyfish jelly for $15.68. Write a proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly.
The proportion is given as:
Number of jars of Jellyfish/Cost of the Number of jar of Jellyfish
Hence:
8/$15.68 = 6/c
We Cross Multiply
8 × c = $15.68 × 6
c = $15.68 × 6/8
c = $11.76
Therefore,
The proportion that gives the cost (c) if you buy 6 jars of jellyfish jelly =
Cost(c) = 1/8($15.68 × 6)
The cost (c) if you buy 6 jars of jellyfish jelly is $11.76
Use foil method to find (w+5)(w^2+3w)
Answers
Outer
Inner
Last
(w + 5)(w^2 + 3w)
F (w)(w^2) = w^3 add the exponents
O (w)(3w) = 3w^2
I (5)(w^2) = 5w^2
L (5)(3w) = 15w
New expression: w^3 + 5w^2 + 3w^2 + 15w
Combine like terms.
Final answer: w^3 + 8w^2 + 15w
The bill is $62.78 the tax on the bill is 8% how much tax is owed
Answers
Answer:
$5.0224
Step-by-step explanation:
8%=0.08
0.08*62.78=5.0224
Answer:
$5.0224
if they want you to round its - $5.02
Step-by-step explanation:
8% of 62.78 = 8% x 62.78
8/100 x 62.78 === 502.24 /100
502.24 / 100 = $5.0224
Find the square. Simplify your answer.
Answers
Answer:
j^2+2j+1
Step-by-step explanation:
(j+1)(j+1)=
=>j^2+j+j+1
=>j^2+2j+1
Hope this helps! ;)
A local little league has a total of 65 players, of whom 40% are left-handed. How many left-handed players are there?
Answers
Answer:
26 are left-handed
Step-by-step explanation:
Solve the equation 1/x + 1/3x =4
Answers
Answer:
4/3x
Step-by-step explanation:
Answer:
the answer is 1/3
Step-by-step explanation:
(a) Reflect the point (6, 8) across the y-axls:
(b) Reflect the point (6, 8) across the X-axis:
Answers
Answer:
A: 6,8 = negative 6,8
B: 6,8 = 6,negative 8
Step-by-step explanation:
hope i helped you (could i have brainiest if possible)
Sweets are sold loose or pre packed in 120 G bags. The 120 G bags are 1.49 pounds each By calculating the price per gram determine which is better value show ur working out
Answers
Complete question :
Sweets are sold loose, or pre-packed in 120g bags.The 120g bags are £1.49 each.The loose sweets are £0.89 for 100g.
By calculating the price per gram, determine which is better value.
Answer:
100 g bag
Step-by-step explanation:
For the 120g bag:
Price per gram :
Price / Numbe of gram
1.49 / 120 = 0.0124 gram per bag
For the 100 g bag :
0.89 / 100
= $0.0089per gram
Since $0.0089 is < $0.0124
Then the 100g bag is of better value
Michael forgot the combination to his locker. His locker uses
four numbers, O through 9. How many possible combinations
exist for his locker?
Answers
Answer: 0-999
Step-by-step explanation: So we know that there is 10 numbers, and we know that we can do the same number more than once, so
10 to the fourth power equals 10,000
So the digits could be up to 0000 to 9999
Helpful?
Yolanda bought 4 pounds of potatoes how many ounces of potatoes did yolanda buy?
Answers
Answer:
D. 64 oz.
Step-by-step explanation:
There are 16 ounces in a pound. So multiply 4 x 16 to get 64 ounces.
Hope it helps!
Answer:
64
Step-by-step explanation:
well. there’s 16 oz in a pound. so if there’s 4 pounds then take 16 x 4 which is 64
she bought 64 oz of potatoes
lemont has 30 books to pack the boxes each box holds 7 books if he fills each box how many boxes are left over
Answers
Answer:
2 books
Step-by-step explanation:
If 7 books= 1 box
Then 30 books= 30÷7= 4 boxes with a remainder of 2 books
Therefore books left over= 2 books
THIS IS WORTH 100 POINTS IF YOU’RE CORRECT!!! I WILL GIVE BRIANLIEST!!!!!!!!
Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.
Answers
Answer:
The Correct Answer Is D
Step-by-step explanation:
I hope it Helps!
A spinner is shown.
The arrow on the spinner us spun once. What is the probability of spinning of spinning a 2, 3, 5, 7, or 11?
Answers
Answer:
62.5
Step-by-step explanation:
5/8=.625
0.625*100=62.5
Can somebody plz help answer these questions correclty (like what each letter equals) thanks :3
WILL MARK BRAINLIEST WHOEVER CAN ANSWER THIS FIRST :DD
Answers
Answer:
X=12
y=34
z=45
m=33
n=27
z=27
Step-by-step explanation:
there u go
Answer:
23) x -3 = 9
x=9+3=12
24) y-11=23
y=23+11=34
25) z-8=37
z=37+8=45
26) m-16=17
m=17+16=33
27) n-9=18
n=18+9=27
28) z-14=13
z=13+14=27
Yall its 1.08pm and i need this answer by 3.30pm
How is finding the area of a parallelogram like finding the area of a rectangle?
Thank you guys
Answers
Answer:
Because in both cases you take the height multiplied with the base.
Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
to find area of rectangle , view picture for formula. notice the differences
Someone help me (10 points each person)
Answers
Answer:
x=56
Step-by-step explanation:
Alternate exterior angles are congruent if the lines crossed by the transversal are parallel (which they are).
Answer:
56
Step-by-step explanation:
It would also be 56 degrees because if both 360 degree angles are parallel to each other and if each of the 360 degree angles had two top and bottom 180 degree angles and if 56 was subtracted to 180 you would get 124 and when you plus that with 56, you get 180 so if that is true for all 4 180 degree angles in this problem, then X would equal 56 no doubt.
question is in the pic
Answers
Answer:
B. 68 dollars
Step-by-step explanation:
This option makes the most sense because in hour 2, the profit was 58. In hour 6, the profit was 126. Subtract 126 - 58 to find the rate of change and you get 68.
Hope it helps!
Caroline works in a coffee shop. She noticed that 10 out of the last 12 customers ordered tea.
What is the experimental probability that the next customer will order tea?
Answers
Answer:
There is an 83.33% chance that the next customer will order tea.
Step-by-step explanation:
10:12 = 10 ÷ 12 = 0.83333333333333 = 83.333333333333%