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Daniel [21]
3 years ago
13

A packet contains 24 pens. Henry and Alice share them in the ratio 3:5. How many does Alice receive

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
Alice receives 9 out of the 24 pens.
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todd earn $91.00 working for her uncle yesterday if he worked for 6.5 hours how much did he earn per hour
emmasim [6.3K]
Answer= 14 per hour
91/6.5
=14
Todd earn $14 per hour
3 0
2 years ago
How
cupoosta [38]

Answer:

x = 12

Step-by-step explanation:

by direct solution

otherwise this system many solution

8 0
3 years ago
Read 2 more answers
write a system of linear equations in which (3,-5) is a solution of Equations 1 but not a solution of Equation 2 and (-1,7) is a
AnnZ [28]
Y+5=m(x-3), or y=mx-3m-5, satisfies Equation 1. But Equation 1 and Equation 2 are satisfied when y-7=n(x+1).
(-1,7) is graphically represented by the intersection of 2 lines. So Equation 1 must pass through (-1,7) and (3,-5). The slope is (-5-7)/(3-(-1))=-12/4=-3=m, so y=-3x+4.

Equation 2 is y=x+8 when n=1 (arbitrary choice). Note that m is not equal to n.

A typical example of the required system is Eqn 1: y=-3x+4 and Eqn 2: y=x+8.
7 0
3 years ago
HOW IS THE INSCRIBED QUADRILATERAL PROOF WRITTEN?
Andrej [43]

Answer:

In the quadrilateral ABCD can be inscribed in a circle, then we have seen above using the inscribed angle theorem that the sum of either pair of opposite angles = (1/2(a1 + a2 + a3 + a4) = (1/2)360 = 180.

Step-by-step explanation:

hope this answers your question

3 0
3 years ago
an investment $of 6,599.20 earns 4.2% interest over 7 years. approximately how much interest is earned on the investment​
Natalka [10]

Answer:

Interest earned on the investment is; $2237.31254875

Step-by-step explanation:

Given:  Principal (P) = $6, 599.20  r= 4.2% and t = 7 years.

Formula for annual compound interest, including principal sum is:

A = P(1+\frac{r}{100n})^{nt}             .....[1]

where ;

A represents the total amount , including interest.

P represents the initial deposits

r represents the rate of interest

t represents the number of times that the interest is compounded per year

n represents the number time that interest is compounded per year

Here, n = 12

therefore,

Substituting the values of P= $6, 599.20  r= 4.2% and t = 7 years in equation [1];

A = 6599.20(1+\frac{4.2}{1200})^{7 \times 12} = 6559.20(1+0.0035)^{84}

Simplify:

A = $8796.51254875

We have to find the interest is earned on the investment;

Use the formula:

A = I + P or

I = A - P

where,

I represents the interest earned on the investment;

we have;

I = 8796.51254875 - 6559.20 = 2237.31254875

Therefore, the interest earned on the investment is; $2237.31

6 0
3 years ago
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