Answer:
Jackie collected 61 coins and 20 stamps
Step-by-step explanation:
Solving (a): Variable representation
Let the coins be represented with c
Let the stamps be represented with s
Solving (b): Setup equation
Total is 81. This implies that:
[tex]s + c = 81[/tex]
Also:
[tex]c = 1 + 3s[/tex]
Solving (c): Solve the system
Substitute 1 + 3s for c in [tex]s + c = 81[/tex]
[tex]s + 1 + 3s = 81[/tex]
Collect Like Terms
[tex]s + 3s = 81-1[/tex]
[tex]4s= 80[/tex]
Divide both sides by 4
[tex]s = \frac{80}{4}[/tex]
[tex]s= 20[/tex]
Substitute 20 for s in [tex]c = 1 + 3s[/tex]
[tex]c = 1 + 3 * 20[/tex]
[tex]c = 1 + 60[/tex]
[tex]c = 61[/tex]
Solving (d): Solution statement
Jackie collected 61 coins and 20 stamps
Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4
Step-by-step answer:
0.5(x+0.8)=1.4
0.5x+0.4=1.4
0.5x+0.4-0.4=1.4-0.4
0.5x=1
0.5x/0.5=1/0.5
x=2
Plzzzzz give me Brainliest!!!!!
Sam bought a kite that he could do stunts with for $52. If he
paid $4.42 in sales tax, what was the sales tax rate?
Answer:
8.5%
Step-by-step explanation:
8.50% of 52= 4.42
Plz help 2 more questions left
Answer:
1st ? -> -6x
2nd ? -> 4x
3rd ? from left -> 4x
4th ? -> 24
5th ? -> 6
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
What is the answer??
Answer:
Tangent to a circle
Step-by-step explanation:
Sorry but I can't draw on this but if you draw it out then the question should become clearer.
Find the y-intercept of the graph
Answer:
The y intercept is zero
Step-by-step explanation:
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
The answer is D
Step-by-step explanation:
You cross multiply 5 and 5 and 2 and 6 to create a new fraction
Answer:
12/25
Step-by-step explanation:
so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
Step-by-step explanation:
9/7
Hope it helped you.
Please mark me brainliest.
In AMNO, m = 540 inches, n = 330 inches and o=600 inches. Find the measure of
20 to the nearest 10th of a degree.
Answer: 83.5
Step-by-step explanation:
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answer:
2x + 7= 4x + 17
x=−5
A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches
Answer:
no entiendo
Step-by-step explanation:
Solve by factorisation
2x2 + 3x - 20 = 0
Given that
5
x
:
9
=
8
:
3
Calculate the value of
x
.
THE CORRECT ANSWER WILL BE BRAINLIEST
Answer:
x=4.8
Step-by-step explanation:
5x:9 = 8:3
It can also be written as
5x/9 = 8/3
Cross multiply
5x*3 = 8*9
15x = 72
Divide both sides by 15
15x/15 = 72/15
x =4.8
A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
A train moves at a constant speed. The train travels 13
miles in 7 hour. What is the train's speed in miles per
hour?
Answer:
1.86 Miles per hour
Step-by-step explanation:
13/7
express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power
Answer:
16:1
plz brainliestt
Step-by-step explanation:
144 : 9
Answer:
16:1
Step-by-step explanation:
The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?
Answer:
1/5
Step-by-step explanation:
The transformer formula is as expressed as
Ns/Np= Ip/Is
Ns and Np are the number of turns in the secondary and primary coil respectively
is and Ip are the currents in the secondary and primary coil respectively
Given the following
Ip = 16A
Is = 80A
Substitute into the formula
Ns/Np = 16/80
Ns/Np = 1/5
Hence the transformer's turn ratio is 1/5
Answer: for pf, 1:5 is WRONG!
Step-by-step explanation:
To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
86
Step-by-step explanation:
36 + 4 = 40 x 2 =80
36 x 2 = 82 = 4 - 86
Hope it helps!
The special number was supposed to be; 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For age 'a', the special number was
2a +4
Tammi's mother actually calculated it as;
2(a +4) = 2a +8
Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be;
80 -4 = 76.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
Help please pleseee
Emily is purchasing bags of soil to be delivered for her yard. Each bag of soil cost
$4 and there is a $50 delivery fee. Emily spends $130 total. Write an equation for
x, the number of bags of soil Emily purchased.
Answer:
equation- 4x + 50 = 130
Step-by-step explanation:
once solved you will know the number of bags Emily purchased (x).
A salesman has a car for sale for $5000. He decides to increase the price by 40%. When no one buys the car, he decreases the new price by 10%.
What is the final price of the car?
Answer:
$6300
Step-by-step explanation:
original price: $5000
increase price by 40%: $5000×1.4=$7000
decrease new price by 10%: %7000×0.9=$6300
find the area of this parallelogram. be sure to include the correct unit in your answer
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
25 penalties decreased by 32% is
penalties.
Answer:17
Step-by-step explanation:
Help with his plz ASAP!!
Answer:
what do you need help on?
A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.
Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
What is the square root of six divided by seventy five
Answer:
0.32 is the answer. to this question
Omar has a new credit card. He earned 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?
Please help i have no idea how to do this
given a polynomial and one of its factors find the remaining factors of the polynomial (5x^3-17x^2+6x);(x-3)
Answer:
x • (3x + 1) • (x + 2) • (2x - 3)
Step-by-step explanation:
what is 1+1 please help