Step-by-step explanation:
1st ratio=
5:7
[tex] \frac{5}{7} [/tex]
2nd ratio =
35:49
[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]
Hence, the ratios are equal
Solution:
Step-1: Convert the ratios into fractions.
5:7 = 35:495/7 = 35/49Step-2: Simplify both sides of the fraction.
~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.
35/49 ⇒ 7 x 5/7 x 7 ⇒ 5/7⇒ 5/7 = 35/49
⇒ 5/7 = 5/7 (Yes. They are equal)
3a + 5b = 26 ; a + 5b = 22
Answer:
[tex]\boxed{a=2,\:b=4}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}3a+5b=26\\ a+5b=22\end{bmatrix}[/tex]
Isolate a from 3a + 5b = 26,
[tex]a=\cfrac{26-5b}{3}[/tex]
[tex]\begin{bmatrix}\cfrac{26-5b}{3}+5b=22\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\cfrac{26+10b}{3}=22\end{bmatrix}[/tex]
Now, Isolate b for
[tex]\cfrac{26+10b}{3}=22\:\:\boxed{b=4}[/tex]
Now, Substitute b=4
[tex]a=\cfrac{26-5\times \:4}{3}[/tex]
[tex]\cfrac{26-5\times \:4}{3}\:\:\boxed{a=2}[/tex]
[tex]\boxed{a=2,\:b=4}[/tex]
~
3/4 of a number is greater than 3/16 of the same number by 81. What is 1/2 of the number?
Answer:
72
Step-by-step explanation:
The given word description can be translated to math symbols this way, when x represents the number:
3/4x -3/16x = 81
Multiplying by 16 gives ...
12x -3x = 1296
9x = 1296 . . . . . . simplify
We want to find the value of half the number, so we can divide this by 18 to get ...
x/2 = 1296/18 = 72
Half the number is 72.
Numbers Write the mixed number as a fraction.
Evaluate: 13.5+14.5×3.1
Answer:
58.45
Step-by-step explanation:
Use BIDMAS
14.5 X 3.1 = 44.95
44.95 + 13.5 = 58.45
Answer:
58.45
Step-by-step explanation:
Hcf of 84 and 49 I'm so lazy
Answer:
7HCF of 49 and 84 is 7.
Step-by-step explanation:
mark me brainliest
To be eligible for a program, a person must make a salary of more than $32,000 per year or less
than $10,000 per year. What is this in monthly salary?
Answer:
Less than $833.33 per month or greater than $2666.67
Step-by-step explanation:
→ Divide both figures by 12
32000 ÷ 12 = 2666.67
10000 ÷ 12 = 833.33
New data collected on roller coasters, comparing height of the initial drop to
the speed of the coaster, found that the regression line equation is actually y 0.502x +12.250.
The regression line equation y = 0.502x +12.250 is a linear regression
The predicted speed at a drop of 100 feet is 62.45The predicted speed at a drop of 500 feet is 263.25It is unlikely that the speed of the roller coaster would reach 263.25The predicted speed at a drop of 100 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 100 for x
y = 0.502 * 100 +12.250
Evaluate the sum
y = 62.45
The predicted speed at a drop of 500 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 500 for x
y = 0.502 * 500 +12.250
Evaluate the sum
y = 263.25
It is unlikely that the speed of the roller coaster would reach 263.25
Read more about regression line equations at:
https://brainly.com/question/6774275
Anthony bought a Bulls jersey that was originally priced $80 but was on sale for a discount of 50% off. What was the sale price of the jersey
Answer:
40 dollar
Step-by-step explanation:
half of 80 is 40
Answer:
40$
Step-by-step explanation:
sale price(S.P.)=discount% of M.P.(marked price)
S.P.=50% of 80$
S.P=50/100*80$
Hence,S.P.(selling price)=0.5*80$=40$
The points (-6,r) and (2,5) lie on a line with slope -1/4. Find the missing coordinate r.
Answer:
r = 7
Step-by-step explanation:
Calculate the slope using the slope formula then equate to - [tex]\frac{1}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, r ) and (x₂, y₂ ) = (2, 5 )
m = [tex]\frac{5-r}{2-(-6)}[/tex] = [tex]\frac{5-r}{2+6}[/tex] = [tex]\frac{5-r}{8}[/tex] , then
[tex]\frac{5-r}{8}[/tex] = - [tex]\frac{1}{4}[/tex] ( multiply both sides by 8 to clear the fractions )
5 - r = - 2 ( subtract 5 from both sides )
- r = - 7 ( multiply both sides by - 1 )
r = 7
Answer:
[tex]\displaystyle 7[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m\\ \\ \frac{-r + 5}{6 + 2} = m \Rightarrow \frac{-r + 5}{8} \hookrightarrow -\frac{2}{8} = -\frac{1}{4} \\ \\ \boxed{7 = r}[/tex]
I am joyous to assist you at any time.
e
Find the area of this shape.
Not to scale
14.1 cm
15.5 cm
12.0 cm
17.4 cm
Answer:
220.35
Step-by-step explanation:
Think of this rectangle of as two horizontal rectangles. The area of the bottom one is expressed by 17.4*12
The area of the top rectangle can be expressed by 3.3*3.5, as 17.4-14.1=3.3 and 15.5-12=3.5.
Add the products for the whole area.
What is the equation of the blue line?
Answer: (1,4) (2,7) (3,10)
HOpE iT hElpS
plS mArK As bRaiNlieSt -wiggly
Step-by-step explanation:
PLS HELP ILL MARK BRAINLIEST!!!
Nate deposited $3 into a savings account. He then saves $2 per week. write a linear function for this situation where x = the number of weeks and y = the total amount in the account!
Answer:
y=2x+3
Step-by-step explanation:
y=mx+b
Answer:
y=$3 + $2x.
Step-by-step explanation:
y=3+2x. Make a table, at week 1 Nate has $2 + the $3 he started with. At week 2, Nate has $4 plus the $3 he started with. And so on. Plug the number of weeks in for x and solve for y for the total at any number of weeks given.
Simplify
Find the answer
Answer:
b³
Step-by-step explanation:
The division symbol between the two terms represents a "subtraction symbol", meaning you have to subtract the exponents like this:
[tex]b^5 - b^2[/tex] [tex]b^5^-^2[/tex] [tex]b^3[/tex]Thus, the answer is b³
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at
random from the bag.
What is the probability that the marble drawn will not be blue?
A. 2/6
B.3/4
C.7/6
D.7/8
Answer:
7/9
Step-by-step explanation:
If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.
The probability that the marble will not be blue is 28/36. This can be simplified to 7/9
Hope this helps!
Ari restaurant, all the freezers are set to a temperature that is below 3°F.
Let X be the temperature of the freezer. Which inequality represents temperatures below 3°F?
2 <-3
2-3
3 <3
2 > 3
Answer:
Answer is A
Step-by-step explanation:
X is below -3
Answer:
x>3=2>3
Step-by-step explanation:
Admission to a museum costs $12 for adults and $7 for children. A group of 35 people attending the museum paid a total of $315 in admission fees. Write a system of equations to represent the situation. Let a represent the number of adult admissions, and let c represent the number of child admissions.
Answer:
see explanation
Step-by-step explanation:
a represents adults and c represents children , then the system of equations is
a + c = 35 → (1)
12a + 7c = 315 → (2)
Answer:
a + c = 35 → (1)
12a + 7c = 315 → (2)
Step-by-step explanation:
a + c = 35 → (1)
12a + 7c = 315 → (2)
Which graph best represents the solution set to this system of inequalities?
x + y < 1
x − y ≤ 2
A.
B.
C.
D.
©
Answer:
(3/2, -1/2)
Step-by-step explanation:
add the 2 inequalities together.
you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2
Thats the one i meant pleaseee helppppppppp fastttttttttt
i alr have a c in this class!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
divide it into smaller shapes and find the area then find the sum
Translate the sentence into an inequality.
The difference of c and 9 is greater than 23.
Answer:
c-9>23.
Step-by-step explanation:
The difference in an equation is c-9. Greator is >. So c-9>23.
help me to solve this question fast
Answer:
180 cm³
Step-by-step explanation:
A rectangular prism with length, L, width, W, and Height, H, has a volume, V, given by the formula below.
V = LWH
Think of this solid as being a rectangular prism with a smaller rectangular prism taken out of the top right corner.
V = 6 cm × 5 cm × 8 cm - 3 cm × 5 cm × 4 cm
V = 240 cm³ - 60 cm³
V = 180 cm³
$13,883 is invested, part at 8% and the rest at 6%. If the interest earned from the amount invested at 8% exceeds the interest earned from the amount invested at 6% by $625.26, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer: 27090 is invested. part at 13% part at 10% the interest earned at 13% exceeds the interest earned at 10% by 440.16 how much is invested at each rate.
what is 7/9 - ?/9 = 2/3
Answer:
It's 1/9
Step-by-step explanation:
Multiply 2/3 x 3/3 to equal the denominator with the 7/9 and the ?/9. 2/3 turns into 6/9. 7/9 - 6/9 is 1/9.
The answer is 1/9
Simplify 5(4x³y²)³/(4x⁵y³)⁴
Answer:
5
4x^11*y^6
In words:
5 over 4x to the 11th power times y to the 6 power.
Step-by-step explanation:
simplify from original to this:
5x^9*y^6
4x^20*y^12
=
5y^6
4x^11*y^12
=
5
4x^11*y^6
What is the equation in point slope form of the line that passes through the point (2 , 4) and has a slope of 3?
Question 4 options:
y=3x-10
y-4=3(x-2)
y+4=3(x+2)
Solution:
Step-1: Use point slope form.
y - y₁ = m(x - x₁)=> y - 4 = 3(x - 2) [Option B]Step-2: Identify the equation of the line.
=> y - 4 = 3x - 6=> y = 3x - 6 + 4=> y = 3x - 2Option B is correct.
Equation in point slope form
[tex]\\ \rm\Rrightarrow y-4=3(x-2)[/tex]
[tex]\\ \rm\Rrightarrow y-4=3x-6[/tex]
[tex]\\ \rm\Rrightarrow 3x-y-6+4=0[/tex]
[tex]\\ \rm\Rrightarrow 3x-y-2=0[/tex]
find value of x in x+10=20 with equation
Answer:
x = 10Step-by-step explanation:
[tex]x + 10 = 20\\x = 20 - 10\\x = 10[/tex]
Answer:
10
Step-by-step explanation:
x+10=20
x=20-10
=10
Each week Raisa earns $5.25 for doing chores. After saving money for 12 weeks, Raisa spends $13.45. How much money does Raisa have left?
Answer:
$49.55
Step-by-step explanation:
She earns $5.25 every week for 12 weeks, so we multiply her weekly income by 12.
$5.25 * 12 = $63.00
Then she spends $13.45, so we deduct that from her earnings.
$63.00 - $5.25 = $49.55
That shows us that she has $49.55 left.
Find the diameter of the circle with the given circumference. Use 3.14 for i.
C= 23 cm
The diameter is about
cm.
(Round to the nearest tenth as needed.)
Can someone help me, please?
10 2/3 x 3 x 6 3/8
thx
Answer:
204
Step-by-step explanation:
Answer:
204
Step-by-step explanation:
Given the following question:
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
In order to solve we will convert the mixed numbers into improper fractions and then solve by multiplying the numerators by the numerators and multiplying the denominators by the denominators.
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
[tex]10\frac{2}{3} \times3[/tex]
[tex]10\frac{2}{3} =3\times10=30+2=32=\frac{32}{3}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{32}{3} \times\frac{3}{1}[/tex]
[tex]32\times3=96[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{96}{3}[/tex]
[tex]\frac{96}{3}\times6\frac{3}{8}[/tex]
[tex]6\frac{3}{8} =8\times6=48+3=51=\frac{51}{8}[/tex]
[tex]\frac{96}{3}\times\frac{51}{8}[/tex]
[tex]96\times51=4896[/tex]
[tex]3\times8=24[/tex]
[tex]=\frac{4986}{24}[/tex]
Simplify by reducing:
[tex]=\frac{4986}{24}\div2=\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}[/tex]
[tex]\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}=2493\div12=204[/tex]
[tex]=204[/tex]
Your answer is indeed "204."
Hope this helps.
Simplify the polynomial. Fill in the blanks with the missing numbers.
2x−6+4x2+5x−2x2+10
The Given Polynomial has three different parameters scattered, first we have to rearrange and then solve for the missing numbers the answer is gotten as 2x^2+7x+4
Simplification of PolynomialGiven Data
2x−6+4x^2+5x−2x^2+10
We begin by collecting like terms
4x^2-2x^2+2x+5x-6+10
Carrying out addition and subtraction operation on like terms
2x^2+7x+4
The Simplified polynomial is
2x^2+7x+4
Learn more about polynomial here:
https://brainly.com/question/2833285
If a speedometer's absolute error is 1 mph and it measures a speed of 52 mph, what is the relative error of this measurement expressed as a percentage? (Round to the nearest tenth of a percent if necessary.
Relative error = absolute error / measured speed
Relative error = 1/52 = 0.01923
Percent = 0.01923 x 100 = 1.923%
Rounded to nearest tenth = 1.9%