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Artemon [7]
2 years ago
7

80 items were sold, bringing in $6,900 in receipts. Some items were sold at a discount for $75 each and some others were sold at

full price for $90 each. How many were sold at discount and how many at full price?
Mathematics
1 answer:
Leni [432]2 years ago
4 0

Answer:

50 items were sold for $75

35 items were sold for $90

Step-by-step explanation:

75 x 50 = 3750

90 x 35 = 3150

3750 +3150 = 6,900

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Ana escribe conjuntos de cinco enteros positivos consecutivos con la siguiente propiedad: La suma de tres de los números es tan
Keith_Richards [23]

Answer:

a) 1.

Step-by-step explanation:

Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.

Luego, el conjunto de los cinco enteros positivos se puede expresar como

A = {a; a+1; a+2; a+3; a+4}

Dada la condición del problema, se debe cumplir que

a + (a+1) + (a+2) = (a+3) + (a+4)

⇒  3a + 3 = 2a + 7

Resolviendo la ecuación resulta

a = 4

Luego, el conjunto A nos resulta

A = {4; 5; 6; 7; 8}

Puede concluirse que sólo un conjunto cumple con esta condición.

5 0
2 years ago
Twenty three less than 4 times a number is twenty one. what is the number
nikklg [1K]

4x-23=21

   +23=+23

4x=44

divide both by 4

x=11

6 0
2 years ago
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Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away
Lena [83]

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

\triangle ABD\sim \triangle ECD

\frac{AB}{EC}=\frac{BD}{CD}

Substitute the values

\frac{AB}{1.45}=\frac{31.65}{5.45}

AB=\frac{31.65\times 1.45}{5.45}

AB=8.42m

Hence, the height of the tree=8.42 m

6 0
2 years ago
-4/4 + 160% + 1/5=???
Delvig [45]

Answer:

-4/4 + 160% + 1/5

= -2.4

7 0
3 years ago
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