Answer:
Ben has 19 marbles
Step-by-step explanation:
First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]
Now we put all of these equations into a set to answer them.
[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]
First we solve for j
[tex]2j = r\\ j=\frac{1}{2} r[/tex]
Then substitute j
[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]
Then simplify and multiply by 2 to even out
[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]
Now eliminate the b variable and combine equations
[tex]2b+3r=140\\-2b+2r=30[/tex]
[tex]5r=170[/tex]
Now divide and solve for r
[tex]5r=170\\r=34[/tex]
Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation
[tex]-b+34=15\\b=19[/tex]
Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well
[tex]j=\frac{1}{2}(34)\\j=17[/tex]
And now we know how much everyone has, to check we rewrite all the equations with their respective numbers
[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]
[tex]70=70\\34=34\\34=34[/tex]
Which means the ordered pairing of (b, j, r) is (19, 17, 34)
.−3(4x + 3) + 4(6x + 1) = 43
What is the solution?
Answer:
x = 4
Step-by-step explanation:
After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.
-3(4x +3) +4(6x +1) = 43 . . . . . . given
-12x -9 +24x +4 = 43 . . . . . eliminate parentheses
12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)
12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant
x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x
The solution is x = 4.
__
Check
-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x
-3(16 +3) +4(24 +1) = 43
-3(19) +4(25) = 43
-57 +100 = 43 . . . . . true
There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?
Answer:
alan received 24 votes
Step-by-step explanation:
bark
Quick i need your help !
Answer: 30
Step-by-step explanation:
Answer:
30 po brainliest answer po ty
Please help me and
explain how you got the answer
Answer:
x = 7°
Step-by-step explanation:
∠WST is an exterior angle of the triangle
The two interior angles (5x - 1) and (57) add up to WST ( 12x + 7) because they are the non-adjacent interior angles
Solve:
(5x - 1) + (57) = (12x + 7)
5x - 1 = 12x - 50
-1 = 7x - 50
49 = 7x
x = 7
-Chetan K
Which statement is correct about the system of linear equations graphed below? On a coordinate plane, 2 lines are parallel to each other.
A. The system of equations has one solution because the lines will eventually intersect. B. The system of equations has one solution because the lines will never intersect.
C. The system of equations does not have one solution because the lines will eventually intersect.
D. The system of equations does not have one solution because the lines will never intersect.
Answer:
D. The system of equations does not have one solution because the lines will never intersect.Step-by-step explanation:
If two lines are parallel, then there is no intersection and therefore no solutions.
Correct choice is D
Answer:
D. The system of equations does not have one solution because the lines will never intersect.
edg2021Unit Test
Step-by-step explanation:
kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade
Answer:
33 cars please give Brainliest
Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run
Answer:
4 7/12
Step-by-step explanation:
<C and <F are a linear pair. If m<C = 3x and m<F = 3x + 18, find m<F.
Answer:
108
Step-by-step explanation:
A linear pair adds to 180 degrees
<C + <F = 180
3x+ 3x+18 = 180
6x+18 =180
6x+18-18= 180-18
6x =162
6x/6 =162/6
x=27
<F = 3x+18 = 3(27)+18 =81+27 = 108
Find the missing side. Round to the nearest tenth, if necessary.
Answer:
Apply the concept of:
a²+b²=c²
1. 5²+4²=c²
25+16=c²
c²=41
c=6.4 (to nearest tenth)
Do the same for the other qns.
Help?..Please......:)
Answer:
The answer would be 0.05
so =D
Step-by-step explanation:
shelley has 16.5 ounces of frosting that she wants to divide into 4 equal servings to frost four different cupcakes. how many ounces of frosting should she put on each cupcake
Answer: 4.125
Step-by-step explanation: just divide it but 4 and thats how i got it
Find the percent of each number mentally.
A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?
A. $2.63
B. $28.95
C.$41.63
D. $45.75
The total cost of the video controller is $41.63.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A video controller cost $39.
If a 6.75% sales tax is added,
that means,
6.75% of 39,
= 6.75 x 39 / 100
= 2.6325 taxed amount.
The total cost = 39 + 2.6325 = 41.63.
Therefore, $41.63 is the total cost.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
(2,-6), (-4,-3)
What is the slope
Step-by-step explanation:
the slope is -3
that is the answer
Answer:
m = 3/-6
Step-by-step explanation:
Look at attached photo
If f(x) = x^3 – 2x^2 – 29x + 30 and f(6) = 0, then find all of the zeros of f(x)
algebraically.
Due today!!
Answer:
1, 6, and -5
make it 0
please help solve 11x+10>=150
Answer:
12.7272
Step-by-step explanation:
subtract 10 on both sides
divide by 11 on both sides 11/11>140/11
Answer:
x=130
Step-by-step explanation:
11x+10>=150
11x>= 150-10
11x>=140
x>=140-11
x>=129
so, because "x" is bigger than 129,
so, x=130
What is the value of x?
Y
672
45
6V2
O 6
12
3
Answer: 12
Step-by-step explanation:
A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45. Two 45 degree angles in a right triangle means that the two sides will be equal. So we can find the hypotenuse, x, by:
(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²
(6[tex]\sqrt{2}[/tex])² = 36*2 or 72
72 + 72 = x²
x² = 144
x = 12
BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
2 days
25 days
Answer: 4 days
Step-by-step explanation:
Sale price = original price - rate of discount is the formula we used if original price and rate of discount are given. True or False, provide some explanation
Answer:
I say true
Step-by-step explanation:
How to calculate discount and sale price:
Find the original price (for example $90 )
Get the discount percentage (for example 20% )
Calculate the savings: 20% of $90 = $18.
Subtract the savings from the original price to get the sale price: $90 - $18 = $72.
And You're all set!
Answer:
False
Step-by-step explanation:
Sale price = original price - rate of discount * original price
Rate of discount is a percent so we need to multiply by the original price to get a a price so that all the units are the same.
16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
Please help me, I struggle the most in this class and this is the last question
help pls <_> my sister needs it
Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
These are the answer
What statement describes the decimal equivalent of 3/ 8 ?
Answer:
0.375
Step-by-step explanation: All you need to do is divide 3 and 8
What is the measure of _____?
Answer:
95 degrees
Step-by-step explanation:
The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180
Add common terms, then subtract 10: 2x = 170
Divide by 2: x = 85
So angle F is 85 + 10, or 95 degrees.
Find the missing angle measurement in each set of supplementary angles.
Answer:
126°
Step-by-step explanation:
180-54 = 126
Supplementary angles form 180°. Let's take the missing angle as 'x'.
54° + x° = 180°
x = 180° - 54°
x = 126°
=》 Angle LJK = 126°
______
RainbowSalt2222 ☔
What is magnitude in maths ?
Answer:
In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering ( or ranking ) - of the class of objects to which it belongs.
Write the explicit formula for
-1,-3,-9,-27,-81...
Answer:
[tex]- \frac{1}{3} * 3^n[/tex]
Step-by-step explanation:
This is a geometric sequence/progression
Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]
Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],
and [tex]r = 3[/tex]
[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]
[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]
what happens to the total mass of the atoms involved in a chemical reaction
There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.
_______
RainbowSalt2222 ☔
HELP ME PLEASE!!!!!!!!!!!!
i frist 1 1 2
Step-by-step explanation:
Y
Answer:
Step-by-step explanation:
i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!
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Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets
I need the answers to all of them pleaseeee
Answer:
I think it is 43167 but am not really sure
Answer:
HOW DID YOU DO THAT? BECAUSE I CANT DO THAT 3 PIC