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)
plss hurry For a brainlist Please help:)
Determine the graph of the function f(x)=3^x−4
Answer:
It is D
Step-by-step explanation:
The equation of the horizontal asymptote is y = − 4 .Horizontal Asymptote: y = - 4
3-14. Do you think that an area model can help rewrite expressions that involve multiplication? The area model below relates the expressions and . With your team, discuss how it can be used to show that these expressions are equivalent. Be prepared to explain your ideas.
Answer:
Step-by-step explanation:
can someone help me on this and tell me how you did it you will get 30 points
[tex] \frac{2}{3} \div 3 \frac{1}{3} \\ \frac{2}{3} \times \frac{3}{10} \\ = \frac{2}{10} = \frac{1}{5} [/tex]
- BRAINLIEST answerer
Find the total surface area of this triangular prism.
Answer:
look at the photo.....................The surface area of the given triangular prism = 920 square cm.
In the given triangular prism
S1 = 25 cm
S2 = 25 cm
S3 = 14 cm = base
Height = 24 cm
length = 10 cm
Perimeter = S1 + S2+ S3
= 25+25+14
= 64 cm
Area of base = length x base
= 10x14
= 140 square cm
Since we know that,
Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)
= (64x10) + 2x140
= 640 + 280
= 920 square cm
Hence,
The required surface area = 920 square cm.
To learn more about prism visit:
https://brainly.com/question/2918181
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Re-write y=x^2– 2x - 3 in vertex form.
Answer:
Step-by-step explanation:
y=x²-2x-3
or
y=x²-2x+1-1-3
or
y=x²-2x+1-4
or
y=(x-1)²-4
vertex is (1,-4)
£160 in the ratio 3:5 how much does Oliver get compared to sue
Answer:
8x=160x=20first num=3×20=60sec num=5×20=100
Step-by-step explanation:
(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1
Answer:
Angle 2 = 120 degrees, Angle 1 = 60 degrees
Step-by-step explanation:
Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.
x+x+60=180
2x+60=180
2x=120
x=60
Angle 1 = 60
Angle 2 = 60+60=120
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.
A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.
B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.
Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
f(x)=5x-2 find the slope of f
Answer:
Slope = 5
Step-by-step explanation:
Standard slope intercept form: y = mx + b
where m = slope of the function
so m = 5
Hope this helps!
A hot air balloon went from an elevation of 4,940 feet to an elevation of 3,122 feet in 36 minutes. What was its rate of descent?
help loll i need an 100
Answer:
-4 (as - and + = -)
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?
Answer:
2 wings/dollar
Step-by-step explanation:
The unit cost is $4 / 8 wings, or $0.50/wing. This is equivalent to 2 wings/dollar.
What is the value of w in this equation?
10w = 27 + w
Answer:
w = 3
Step-by-step explanation:
10w = 27 + w
since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation
10w = 27 + w
-w - w
9w = 27
now we have to get w alone so we have to divide 9 by both sides
9w/9 = w
27/9 = 3
so w = 3
What is the measure of angle xyz
Answer:
Step-by-step explanation:
LET:
∠XYW=Y
X,Y and W are the angles of triangle so:
X + Y + W=180
3x+11+Y+5x+1=180
Y=180-12-8x
Y=168-8x
Now ∠XYW and ∠XYZ are the angles of a straight line:
∠XYW+∠XYZ=180
168-8x+12x-20=180
4x+148=180
4x=180-148
4x=32
x=32/4
x=8
Now substitute value of x in Y:
∠(12x-20)=12(8)-20
∠Y=76
Explain why 4xy and 5x²y are not like terms.
An item is regularly priced at $55. Miguel bought it at a discount of 65% off the regular price
Answer:
$35.75 is the discount price.
Step-by-step explanation:
0.65 x 55 = 35.75
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 how much mac and cheese could abdulla buy with $20?
Answer:
8 pounds
Step-by-step explanation:
"purchased 3 pounds of mac and cheese for $7.50"
You would make this into an equation to figure out the price of one pound of mac and cheese (x):
7.50=3x
x=2.5
Next, you can create an equation to represent the price per pound.
Total price = 2.5(number of pounds)
Now, plug in the information you have:
20 = 2.5x
8=x
Find the perimeter. Simplify the answer.
Answer:
4u
Step-by-step explanation:
Perimeter of square = u+u+u+u
= 4u
A graph is shown below:
Whích of the following inequalities is best represented by this graph? (4 points)
Answer:
5x -y ≥ 2
Step-by-step explanation:
The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).
The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...
ax -by ≥ c . . . . . for some positive values of a, b, c
This eliminates choice C and indicates the correct choice is the last one:
5x -y ≥ 2
You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?
Answer:
1,000 ÷25 = 40 so 40÷20= $2.00
your answer is $2.00 hope this helps
hey guys can u check my answers, if you see one thats not correct pls correct me!
Answer:
b. 300 c. 18 d. 30
Step-by-step explanation:
b. 400/4=100, 100*3=300
c.0.3*10=3, 3*6=18
d.0.75*10=7.5, 7.5*4=30
Answer:
B C and D are incorrect
Step-by-step explanation:
1/2 • 13 is 6.5
3/4 • 400 = 300
(0.3)•60 = 18
(0.75) • 40 = 30
Brainliest please
help asap pleaseeeee
Answer:
Its the last one!
Step-by-step explanation:
Remember
closed circle is less than or equal to and greater than or equal to
open circles are the less than and greater than!
and because it is the
less than or equal to because its going up.(left)
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
Please help ASAP!
Write the ratio 2/7 to 8 as a fraction in simplest form. The ratio in simplest form is _____.
[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]
A chest shaped as a rectangular prism can hold 432 wooden cube blocks with edge lengths of 13 ft. What is the volume of the chest? Enter your answer in the box.
Answer:
i believe it is 16
Step-by-step explanation:
Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .
Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).
Answer:
4.7
Step-by-step explanation:
10. Shown here is the graph of which inequality?
Answer:
B) 3x +2y >= 6
Step-by-step explanation:
i need help!!!!!!!!!!
Answer: Read the Explanation
Step-by-step explanation:
m<7 = 120
m<5 = 120
m<6 = 60
m<2 = 60
The reason why they are 60 is because they are supplementary angles to complete a straight line so like since 3 = 120 4 = 60 since its a straight line.
Answer:
ly
Step-by-step explanation:
Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?
parallel perpendicular or neither