Answer:
The parts of the number are 200 and 320
Step-by-step explanation:
System of Equations
Suppose a and b are the two parts. They must meet two conditions:
[tex]a+b=520\qquad\qquad [1][/tex]
[tex]\displaystyle \frac{a}{b}=\frac{5}{8}\qquad\qquad [2][/tex]
From [1], we have:
[tex]b=520-a[/tex]
Replacing in [2]:
[tex]\displaystyle \frac{a}{520-a}=\frac{5}{8}[/tex]
Cross-multiplying:
[tex]8a=5*(520-a)[/tex]
Operating:
[tex]8a=2600-5a[/tex]
Joining like terms:
[tex]13a=2600[/tex]
Solving:
[tex]a=2600/13=200[/tex]
a=200
Since:
[tex]b=520-a\Rightarrow b=520-200[/tex]
b=320
The parts of the number are 200 and 320
Answer:
200 and 320
Step-by-step explanation:
is the equation y=1/5x+2 is changed to y=1/5x-4, how will graph the line change
Answer:
The answer to this problem is:
It will shift down 6 units
Step-by-step explanation:
not only have the y-intercept(s) change but also where they are positioned, this is shown in the graphs below.
The graph of the line will shift down by 6 units when the equation y = 1/5x + 2 is changed to y = 1/5x - 4 (option b).
To compare the two equations, y = (1/5)x + 2 and y = (1/5)x - 4, we can focus on their y-intercepts. The y-intercept of the first equation is 2, and the y-intercept of the second equation is -4.
When the y-intercept changes from 2 to -4, the graph will shift vertically. The y-coordinate is decreasing from 2 to -4, which means the graph will shift down by 6 units.
Therefore, the correct answer is:
B) It will shift down 6 units.
To know more about equation:
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Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative 3) squared = StartFraction 5 (4) over 2 EndFraction minus 10 + 9 = StartFraction 20 over 2 EndFraction minus 10 + 9 = 10 minus 10 + 9 = 9. What was Fernando's error?
Answer:
Fernando incorrectly found the product of –2 and –5.
Step-by-step explanation:
Fernando evaluated the numerator of the fraction incorrectly.
Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.
Fernando incorrectly found the product of –2 and –5.
Fernando evaluated (negative 3) squared incorrectly.
Fernando's calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 - 10 + 9
= 20/2 - 10 + 9
= 10 - 10 + 9
= 9
Correct calculation
5(9-5) / 2 + (-2)(-5) + (-3)^2
= 5(4) / 2 + (10) + 9
= 20/2 + 10 + 9
= 10 + 10 + 9
= 29
Therefore,
Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10
Fernando incorrectly found the product of –2 and –5.
Answer:
C is correct answer
Step-by-step explanation:
Which describes the triangles? Use the ruler and protector to solve
we went to a strip club. there were 13 people there now there is 18 how many people came in between that time frame
Answer:
5 people came between that time frame
Step-by-step explanation:
Maria cut 3/4 yard of ribbon into pieces that are 1/8 yard long. How many pieces of ribbon did Maria cut? don't be a b.*.t.c.h. and not solve it
===============================================
Explanation:
3/4 = 6/8 after multiplying top and bottom of the fraction by 2
She has 6/8 of a yard of ribbon.
If she cuts the ribbon into pieces of 1/8 of a yard each, then she has 6 pieces overall
We can see this if we solve the equation (1/8)x = 6/8. Multiply both sides by 8 to get x = 6.
The number of pieces of ribbon that Maria cut is 6 pieces.
Given,
Maria cut 3/4 yards of ribbon into pieces that are 1/8 yard long.
We need to find how many pieces of ribbon Maria cut.
How do we divide two fractions?We multiply one fraction with the reciprocal of the other fraction.
Example:
a/b ÷ c/d
= a/b x d/c
= ad/bc
We have,
The total length of the ribbon = 3/4 yards
The length of each piece cut from the ribbon = 1/8 yards.
The number of pieces that can be cut:
= 3/4 ÷ 1/8
= 3/4 x 8/1
= 3x8 / 4x1
= 24 / 4
= 6
Thus the number of pieces of ribbon that Maria cut is 6 pieces.
Learn more about how to divide fractions here:
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HOPEFULLY THIS IS NOT BLURRY PLZ HELP ME
Answer:
a. 4 b.15 c. 26. d.30
Step-by-step explanation:
i had this problem and i have the paper and i got it right so if they are wrong then i have no clue
Answer:a. 4 b.15 c. 26. d.30
Step-by-step explanation:
Hope it helps
39y = 234
Which math process will most efficiently lead to solving the equation?
Add 39 to both sides of the equation.
Subtract 39 from both sides of the equation.
Multiply 39 to both sides of the equation.
Divide 39 to both sides of the equation.
Answer:
Divide by 39 on both sides
Step-by-step explanation:
y = 6
Answer:
Divide by 39 on both sides y=6
Which equation represents a line that passes through (-2, 3) and has a slope (m) of -4?
Answer:
Plug value of the slope and point (2,3) in y= mx+b
3.00 = -6 + b
b= 3 -6
b= 9
So the equation will be
Y =-3x+ 9
Diane purchased a prepaid phone card for $15. Long distance calls cost 17 cents a minute using this card. Diane used her card only once to make a long distance call. If the remaining credit on her card is $11.26, how many minutes did her call last?
Answer:
22 minutes
Step-by-step explanation:
15-11.26=3.74
3.74 divided by .17 eqauls 22
what are the 10 branches of mathematics
Answer:
Pure Mathematics:
Number Theory
Algebra
Geometry
Arithmetic
Combinatorics
Topology
Mathematical Analysis
Applied Mathematics:
Calculus
Statistics and Probability
Set Theory
Trigonometry
Step-by-step explanation:
Bruh i found 11 when i googled it so idk
Answer:
Foundations.
Number Theory.
Algebra.
Combinatorics.
Geometry.
Topology.
Mathematical Analysis.
Probability and statistics.
Step-by-step explanation: There is also 2 more
the perimeter of isoceles triangle is 60 cm and its base is 15 cm the area of triangle is?
Answer:
Step-by-step explanation:
2x+15=60(2x is written because there two parallel lines which not given)
2x=15-60
2x=-45
x=-45/2
that's the answer
please make me the brainlest thanks
What is the answer to 16> 1.5 + 0.8b
Answer:
16>2.3b
Step-by-step explanation:
1.5+0.8=2.3
Substitute b as 1. Which would still keep it as 2.3.
What’s the unit rate of the ratio 64:16
Answer:4
Step-by-step explanation:
This is a fraction equal to
64 miles ÷ 16 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 16
What is the sum of 821 and 153?
Choose the answer that correctly compares the two
8/9 87%
>,
Answer: 8/9 > 87%
Step-by-step explanation: 8/9 is greater because as a percent 8/9 is 88.888...%.
i need to find the location of X
Answer:
-8
Step-by-step explanation:
midpoint = (W + X)/2
midpoint = [-11 + (-5)]/2
midpoint = -16/2
hence midpoint = -8
(3x+2)(x-1)
expand and simplify
Answer:
The answer is
6x²+x-2
.Step-by-step explanation:
Evaluate when a = 15:
2(a - 5) + 2
Answer:
22
Step-by-step explanation:
Just plug in
2(15 - 5) + 2 (Solve what's in the parenthesis)
2(10) + 2 (multiply 2*10)
20 + 2 (collect like terms)
22
The evaluation of the expression, 2(a - 5) + 2 when a = 15 is; 22
According to the question;
We are required to evaluate 2(a - 5) + 2. when a = 15.To evaluate 2(a - 5) + 2. when a = 15.
We have;
= 2(15 - 5) + 2= 2(10) + 2= 22.Read more;
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The pH level of a substance can be determined by the formula pH = –log[H+], where [H+] is the hydrogen ion concentration in moles per liter. An alkaline substance has a pH level between 7 and 14. Which ion concentration corresponds to an alkaline substance?
3.5 x 10^-16
5.0 x 10^-12
1.0 x 10^-7
1.1 x 10^-4
Please answer asap
Answer:
B. 5.0 × 10⁻¹² moles per liter.
Step-by-step explanation:
In this exercise we have to calculate the pH levels associated with respective hydrogen ion concentration based on the following formula:
[tex]pH=-\log [H^{+}][/tex]
Where [tex][H^{+}][/tex] is the hydrogen ion concentration, measured in moles per liter.
a) 3.5 × 10⁻¹⁶ moles per liter:
[tex]pH=-\log [3.5\times 10^{-16}][/tex]
[tex]pH \approx 15.456[/tex]
The substance is above the upper bound for alkaline substances.
b) 5.0 × 10⁻¹² moles per liter:
[tex]pH=-\log [5.0\times 10^{-12}][/tex]
[tex]pH \approx 11.301[/tex]
The substance is alkaline.
c) 1.0 × 10⁻⁷ moles per liter:
[tex]pH=-\log [1.0\times 10^{-7}][/tex]
[tex]pH= 7[/tex]
The substance is not acid nor alkaline.
d) 1.1 × 10⁻⁴ moles per liter:
[tex]pH=-\log [1.1\times 10^{-4}][/tex]
[tex]pH \approx 3.959[/tex]
The substance is acid.
Thus, we concluded that correct answer is B.
Answer:
5 * 10^12
Step-by-step explanation:
What should be done to solve the following equation?
b-4 = 10
Answer:
What I would do is to basically just find what b equals.
Moving all the terms containing the unknown to the left of the equal sign and all other terns to the right of the equal
sign is called ___
terms
Answer:
.
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please help me it’s confusing
help pls asap fjfnfnffjfk
Jasmine sold 30 bracelets on Monday and 15 bracelets a day for the next few days. She sold a total of 105 bracelets. Write an equation that can be solved to determine the number of additional days, d, she sold bracelets
Answer:
30 + 15d = 105, I think
Step-by-step explanation:
geometry helpffffffffffff
Answer:
x=-8
Step-by-step explanation:
First you should add 5x+67 and 5x+61 together which is 10x+128
Then you set that equal to 3x+72 which would be: 10x+128=3x+72
After that subtract 3x from both sides which leaves you with: 7x+128=72
Then subtract 128 from 72 which gives you: 7x=-56
Then divide by 7 which gives you x equals negative eight
. Twelve coworkers go out for lunch together and order three pizzas. Each pizza is cut into eight slices. If each person gets the same number of slices, how many slices will each person get?
Answer: each person gets 2 slices of pizza
Step-by-step explanation: 3 pizza 8 slices each pizza 3•8=24 divided by 12=2
Line CD is the perpendicular bisector of segment AB. The lines intersect
at point E. Which of these statements is true?
(Hint: it may help to draw a picture, but you don't have to turn it in!)
There is not enough information to be sure.
O E is closer to A than to B.
O E is closer to B than to A.
O E is the same distance from A and B.
plz help me understand this
Answer:
E is the same distance from A and B. ⇒ D
Step-by-step explanation:
Let us explain the meaning of perpendicular bisector
If line m is the perpendicular bisector of line n, then
line m intersect line n at the mid-point of line nThey form 4 right angles around this mid-point∵ Line CD is the perpendicular bisector of segment AB
∴ Line CD intersects segment AB at the mid-point of AB
∵ Line CD and segment AB intersected at point E
→ That means E ∈ CD and E ∈ AB
∴ Point E is the mid-point of line AB
∴ Point E divides line AB into 2 equal parts
→ That means point E is at the same distance from points A and B
∴ E is the same distance from A and B.
Explain how you can find the center of dilation of a triangle and its dilation.
Answer:
what is a dilation I dont really know waht they are
Step-by-step explanation:
Find the difference. The answer should be in simplest form.
−2/3 − 1/3 =
Answer:
-1
Step-by-step explanation:
-2/3 - 1/3
Since the denominators are the same, we can combine the numerators
-3/3
Simplify
-1
The equation 12x + 15y = 390 represents the total revenue during a one-day fundraiser. In the equation, x represents the
number of youth T-shirts sold, and y represents the number of adult T-shirts sold. If there were 10 youth T-shirts sold,
how many adult T-shirts were sold?
18 T-shirts
20 T-shirts
24 T-shirts
45 T-shirts